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John Kasich

John Richard Kasich Jr. (born May 13, 1952) is an American politician and author who was the 69th governor of Ohio from 2011 to 2019, a member of the U.S. House of Representatives from 1983 to 2001, and a Republican candidate for the presidential nomination in 2000 and 2016.

Kasich was born and grew up in McKees Rocks, Pennsylvania, and moved to Ohio in 1970 to attend college. After a single term in the Ohio Senate, he served nine terms as a member of the United States House of Representatives from Ohio's 12th congressional district. His tenure in the House included 18 years on the House Armed Services Committee and six years as chair of the House Budget Committee. Kasich was a key figure in the passage of both 1996 welfare reform legislation and the Balanced Budget Act of 1997. Kasich decided not to run for re-election in 2000 and ran for president instead. He withdrew from the race before the Republican primaries.

After leaving Congress, Kasich hosted Heartland with John Kasich on Fox News from 2001 to 2007 and served as managing director of the Lehman Brothers office in Columbus, Ohio. He ran for governor of Ohio in 2010, defeating Democratic incumbent Ted Strickland. He was re-elected in 2014, defeating Democratic challenger Ed FitzGerald by 30 percentage points. Kasich was term-limited and could not seek a third gubernatorial term in 2018; he was succeeded by fellow Republican Mike DeWine.

Kasich ran for president again in 2016, finishing in fourth place in the Republican primaries behind Donald Trump, Ted Cruz, and Marco Rubio. He won the primary in his home state of Ohio and finished second in New Hampshire. Kasich declined to support Trump as the Republican presidential nominee and did not attend the 2016 Republican National Convention, which was held in Ohio. From 2019 to 2023, Kasich was a CNN contributor. Since March 2023, he has been an analyst on NBC News. Kasich is known as one of Trump's most prominent critics within the Republican Party, and he endorsed Democratic presidential nominee Joe Biden for president in a speech at the 2020 Democratic National Convention.

Early life, education, and early political career
John Richard Kasich Jr. was born and raised in the Pittsburgh suburb of McKees Rocks, Pennsylvania. He is the son of Anne (née Vukovich; 1918–1987) and John Richard Kasich (1919-1987), who worked as a mail carrier.

Kasich's father was of Czech descent, while his mother was of Croatian descent. Both his father and mother were children of immigrants and were practicing Roman Catholics. He has described himself as "a Croatian and a Czech".

After attending public schools in his hometown of McKees Rocks, Kasich later left his native Pennsylvania, settling in Columbus, Ohio in 1970 to attend Ohio State University, where he joined the Alpha Sigma Phi fraternity.

As a freshman, he wrote a letter to President Richard Nixon describing concerns he had about the nation and requesting a meeting with the President. The letter was delivered to Nixon by the university's president Novice Fawcett and Kasich was granted a 20-minute meeting with Nixon in December 1970.

Earning a Bachelor of Arts degree in political science from Ohio State in 1974, he went on to work as a researcher for the Ohio Legislative Service Commission. From 1975 to 1978, he served as an administrative assistant to then-state Senator Buz Lukens.

Ohio Senate career
In 1978, Kasich ran against Democratic incumbent Robert O'Shaughnessy for State Senate. A political ally of Kasich remembers him during that time as a persistent campaigner: "People said, 'If you just quit calling me, I'll support you.'" At age 26, Kasich won with 56% of the vote, beginning his four-year term representing the 15th district. Kasich was the second youngest person ever elected to the Ohio Senate.

One of his first acts as a State Senator was to refuse a pay raise. Republicans gained control of the State Senate in 1980, but Kasich went his own way, for example, by opposing a budget proposal he believed would raise taxes and writing his own proposal instead.

U.S. House of Representatives (1983–2001)
In 1982, Kasich ran for Congress in Ohio's 12th congressional district, which included portions of Columbus as well as the cities of Westerville, Reynoldsburg, Worthington, and Dublin. He won the Republican primary with 83% of the vote and defeated incumbent Democratic U.S. Congressman Bob Shamansky in the general election by a margin of 50%–47%. He would never face another contest nearly that close, and was re-elected eight more times with at least 64 percent of the vote. During his congressional career, Kasich was considered a fiscal conservative, taking aim at programs supported by Republicans and Democrats. He worked with Ralph Nader in seeking to reduce corporate tax loopholes.

Kasich was a member of the House Armed Services Committee for 18 years. He developed a "fairly hawkish" reputation on that committee, although he "also zealously challenged" defense spending he considered wasteful. Among the Pentagon projects that he targeted were the B-2 bomber program (teaming up with Democratic representative Ron Dellums to cut the program, their efforts were partly successful) and the A-12 bomber program (ultimately canceled by defense secretary Dick Cheney in 1991). He participated extensively in the passage of the Goldwater–Nichols Act of 1986, which reorganized the U.S. Department of Defense. He also pushed through the bill creating the 1988 Base Realignment and Closure Commission, which closed obsolete U.S. military bases, and successfully opposed a proposed $110 million expansion of the Pentagon building after the end of the Cold War. He also "proposed a national commission on arms control" and "urged tighter controls over substances that could be used for biological warfare."

Kasich said he was "100 percent for" the first Persian Gulf War as well as the 2001 invasion of Afghanistan, but said that he did not favor U.S. military participation in the Lebanese Civil War or in Bosnia. In 1997, with fellow Republican representative Floyd Spence, he introduced legislation (supported by some congressional Democrats) for the U.S. to pull out of a multilateral peacekeeping force in Bosnia. In the House, he supported the Comprehensive Anti-Apartheid Act, a U.S. Representative Ron Dellums (D- CA)-led initiative to impose economic sanctions against apartheid-era South Africa.

Ranking member of the House Budget Committee
In 1993, Kasich became the ranking Republican member of the House Budget Committee. Kasich and other House Budget Committee Republicans proposed an alternative to President Bill Clinton's deficit reduction bill, the Omnibus Budget Reconciliation Act of 1993. That proposal included funds to implement Republican proposals for health care, welfare, and crime control legislation and for a child tax credit. The Penny-Kasich Plan, named after Kasich and fellow lead sponsor Tim Penny, was supported by Republicans and conservative Democrats. It proposed $90 billion in spending cuts over five years, almost three times as much in cuts as the $37 billion in cuts backed by the Clinton administration and Democratic congressional leaders. About one-third ($27 billion) of the proposed Penny-Kasich cuts would come from means-testing Medicare, specifically by reducing Medicare payments to seniors who earned $75,000 or more in adjusted gross income. This angered the AARP, which lobbied against the legislation. Another $26 billion of the Penny-Kasich plan's cuts would have come from the U.S. Department of Defense and foreign aid, which led Secretary of Defense Les Aspin to say that the plan would destroy military morale. Another $27 billion in savings would have come from federal layoffs. The proposal was narrowly defeated in the House by a 219–213 vote.

As ranking member of the Budget Committee, Kasich proposed his own health care reform plan as a rival to the Clinton health care plan of 1993 championed by First Lady Hillary Clinton, but more market-based. As journalist Zeke Miller wrote in Time magazine, "The Kasich plan would have covered all Americans by 2005, using a form of an individual mandate that would have required employees to purchase insurance through their employers. (The mandate was an idea initially supported by conservative groups like The Heritage Foundation.)"

On November 17, 1993, Kasich voted to approve the North American Free Trade Agreement, casting a "yea" vote for the North American Free Trade Agreement Implementation Act.

In 1994, Kasich was one of the Republican leaders to support a last-minute deal with President Bill Clinton to pass the Federal Assault Weapons Ban. After a series of meetings with Clinton's Chief of Staff, Leon Panetta, a longtime friend of Kasich, the assault weapons ban was passed when 42 Republicans crossed party lines and voted to ban assault weapons with the Democrats. His support of the assault-weapons ban resulted in the NRA Political Victory Fund giving Kasich an "F" rating in 1994.

Chair of the House Budget Committee

In 1995, when Republicans gained the majority in the United States Congress following the 1994 election, Kasich became chair of the House Budget Committee. In 1996, he introduced the Personal Responsibility and Work Opportunity Act in the House, an important welfare reform bill signed into law by President Clinton.

During the 1996 presidential campaign, Republican nominee Bob Dole was reported to have considered Kasich as a vice presidential running mate but instead selected Jack Kemp, a former congressman and Secretary of Housing and Urban Development.

In 1997, Kasich rose to national prominence after becoming "the chief architect of a deal that balanced the federal budget for the first time since 1969"—the Balanced Budget Act of 1997.

In 1998, Kasich voted to impeach President Clinton on all four charges made against him. In 1999, while the Senate prepared to vote on the charges, he said: "I believe these are impeachable and removable offenses."

2000 presidential campaign
Kasich did not seek re-election in 2000. In February 1999, he formed an exploratory committee to run for president. In March 1999 he announced his campaign for the Republican nomination. After very poor fundraising, he dropped out in July 1999, before the Iowa Straw Poll, and endorsed governor George W. Bush of Texas.

Private sector career (2001–2009)
After leaving Congress, Kasich went to work for Fox News, hosting Heartland with John Kasich on the Fox News Channel and guest-hosting The O'Reilly Factor, filling in for Bill O'Reilly as needed. He also occasionally appeared as a guest on Hannity & Colmes.

Business career
Kasich served on the board of directors for several corporations, including Invacare Corp. and the Chicago-based Norvax Inc. In 2001, Kasich joined Lehman Brothers' investment banking division as a managing director, in Columbus, Ohio. He remained at Lehman Brothers until it declared bankruptcy in 2008. That year, Lehman Brothers paid him a $182,692 salary and a $432,200 bonus. He stated that the bonus was for work performed in 2007.

Kasich's employment by Lehman Brothers was criticized during his subsequent campaigns in light of the firm's collapse during the financial crisis. Kasich responded to critics by saying: "I wasn't involved in the inner workings of Lehman, I was a banker. I didn't go to board meetings or go and talk investment strategy with the top people. I was nowhere near that. That's like, it's sort of like being a car dealer in Zanesville and being blamed for the collapse of GM."

Political activities from 2001 to 2009
Republicans made efforts to recruit Kasich to run for Ohio governor in 2006, but he declined to enter the race.

In 2008, Kasich formed Recharge Ohio, a political action committee (PAC) with the goal of raising money to help Republican candidates for the Ohio House of Representatives and Ohio Senate, in an effort to retain Republican majorities in the Ohio General Assembly. Kasich served as honorary chairman of the PAC.

2010 election
On May 1, 2009, Kasich filed papers to run for governor of Ohio against incumbent Democratic governor Ted Strickland. He formally announced his candidacy on June 1, 2009. On January 15, 2010, Kasich announced Ohio State Auditor Mary Taylor as his running mate.

During a speech before Ashtabula County Republicans in March 2009, Kasich talked about the need to "break the back of organized labor in the schools," according to the Ashtabula Star Beacon.

Ohio teachers' unions supported Strickland, and after Kasich's gubernatorial victory, he said, "I am waiting for the teachers' unions to take out full-page ads in all the major newspapers, apologizing for what they had to say about me during this campaign."

Elsewhere, he said he was willing to work with "unions that make things."

On May 4, 2010, Kasich won the Republican nomination for governor, having run unopposed. On November 2, 2010, Kasich defeated Strickland in a closely contested race to win the governorship. He was sworn in at midnight on January 10, 2011, in a private ceremony at the Ohio Statehouse in Columbus. It was then followed by a ceremonial inauguration at the Ohio Theatre at noon on the same day.

2014 re-election
In November 2014, Kasich won re-election, defeating Democrat Ed FitzGerald, the county executive of Cuyahoga County, 64% to 33%. He won 86 of 88 counties.

Kasich, who was elected with Tea Party support in 2010, faced some backlash from some Tea Party activists. His decision to accept the Patient Protection and Affordable Care Act's expansion of Medicaid caused some Tea Party activists to refuse to support his campaign. Kasich supported longtime ally and campaign veteran Matt Borges over Portage County Tea Party chairman Tom Zawistowski for the position of chairman of the Ohio Republican Party. Zawistowski secured just three votes in his run for the chairmanship. Tea Party groups announced they would support a primary challenger, or, if none emerged, the Libertarian nominee.

Ultimately, Zawistowski failed to field anyone on the ballot and the Libertarian nominee (former Republican State Representative Charlie Earl) was removed from the ballot after failing to gain the required number of valid signatures necessary for ballot access.

Political positions and record
Kasich is considered by some to be a moderate Republican due to his strong condemnation of far-right conservatives and his endorsement of Joe Biden in the 2020 presidential election. However, his record in the House and as governor of Ohio has led others to point out that his views place him to the right of most moderate politicians. Larry Sabato, the director of the University of Virginia Center for Politics, who has known Kasich for years, says that "If you had asked me in the 90s about Kasich I would have said he was a Gingrich conservative." Kasich's friend Curt Steiner, former chief of staff to former Republican Ohio governor and U.S. senator George Voinovich, described Kasich as a "solid Republican" with "an independent streak."

Kasich's tenure as governor was notable for his expansion of Medicaid under the Affordable Care Act, his work combating the opioid addiction crisis, his attempt (later reversed by Ohio voters in a 2011 referendum) to curtail collective bargaining for public sector employees, his local government funding cuts, his passage of several anti-abortion laws, his veto of a six-week abortion ban, his tax cuts, and his evolving position on gun control.

Abortion
Kasich opposes abortion except in cases of rape, incest, and danger to the mother's life. As governor, he signed 18 abortion-restrictive measures into law. In June 2013, Kasich signed into law a state budget, HB 59, which stripped some $1.4 million in federal dollars from Planned Parenthood by placing the organization last on the priority list for family-planning funds; provided funding to crisis pregnancy centers; and required women seeking abortions to undergo ultrasounds. The budget also barred abortion providers from entering into emergency transfer agreements with public hospitals, requiring abortion providers to find private hospitals willing to enter into transfer agreements. Another provision of the bill requires abortion providers to offer information on family planning and adoption services in certain situations. Under the budget, rape crisis centers could lose public funding if they counseled sexual assault victims about abortion.

In 2015, Kasich said in an interview that Planned Parenthood "ought to be de-funded", but added that Republicans in Congress should not force a government shutdown over the issue.

In December 2016, Kasich approved a ban on abortions after 20 weeks, except when a pregnancy endangers a woman's life, but vetoed HB 493, a six-week abortion ban. Kasich cited the cost to taxpayers of defending the legislation in court, and the likelihood that the six-week bill would be struck down in federal court as reasons for vetoing the more restrictive bill. In December 2018, Kasich again vetoed a proposed six-week abortion ban, citing the cost to taxpayers and previous rulings by the federal courts. He did sign a bill into law that bans the dilation and evacuation procedure commonly used for abortion.

Climate change, energy, and environment
In a speech in April 2012, Kasich acknowledged that climate change is real and is a problem. In the same speech, however, Kasich said that the Environmental Protection Agency should not regulate carbon emissions and that instead states and private companies should be in charge of regulating coal-fired power plant emissions. In 2015, Kasich stated that he did not know all the causes of climate change, and that he did not know the extent to which humans contribute to climate change.

In 2014, Kasich signed into law a bill freezing Ohio's renewable portfolio standard (RPS) program for two years. Ohio's RPS program was created by 2008 legislation and required the state to acquire 12.5 percent of its energy portfolio from renewable sources and to reduce energy consumption by 22 percent by 2025. The legislation signed by Kasich to stop the program was supported by Republican legislative leaders, utility companies, and some industry groups, and opposed by environmentalists, some manufacturers, and the American Lung Association. In 2016, Kasich broke with fellow Republicans in the state legislature by vetoing their attempt to continue blocking the RPS standards; as a result, the freeze ended on December 31, 2016, and the clean-energy mandate resumed. This veto won Kasich praise from environmentalist groups, and angered Republicans in the state legislature.

In his 2015 budget plan, Kasich proposed raising the tax rate on hydraulic fracturing (fracking) activities. Specifically, Kasich's plan called for imposing a 6.5 percent severance tax on crude oil and natural gas extracted via horizontal drilling and sold at the source (about $3.25 per $50 barrel of oil), and for an additional 4.5 percent tax per thousand cubic feet on natural gas and liquefied natural gas (about $0.16 per thousand cubic feet). The proposal would not affect conventional drilling taxes.

Kasich formerly supported fracking in Ohio state parks and forests, signing legislation in mid-2011 authorizing him to appoint a five-member commission to oversee the leasing of mineral rights on state land to the highest bidders. In 2012, Kasich aides planned a campaign with a stated goal to "marginalize the effectiveness of communications by adversaries about the initiative" to bring fracking to state parks and forests, naming in an email the Ohio Sierra Club and state Representatives Robert F. Hagan and Nickie Antonio as adversaries of the plan. Kasich never appointed the commission, and the promotional plan was never put into effect. A memo and email relating to the 2012 promotional campaign were publicly released for the first time in February 2015, which according to the Columbus Dispatch attracted criticism from state environmental and liberal groups, as well as Democratic state legislators, who called for an investigation. On the same day the governor reversed himself, with a spokesman saying, "At this point, the governor doesn't support fracking in state parks. We reserve the right to revisit that, but it's not what he wants to do right now, and that's been his position for the past year and a half."

In April 2015, Kasich signed a bill aimed at protecting Lake Erie's water quality. The bill places restrictions on the spread of manure and other fertilizers that contribute to toxic algal blooms and requires large public water treatment plants to monitor phosphorus levels. The bill had been unanimously approved by both chambers of the Ohio Legislature the previous month.

Kasich supported the Keystone XL oil pipeline project and, along with other Republican governors, signed an open letter in February 2015 urging federal approval for the project. In 2016, in response to a request from South Dakota under the terms of an interstate compact, Kasich dispatched 37 Ohio state troopers to South Dakota, where they were stationed around Dakota Access Pipeline protests near the Standing Rock Sioux Reservation. This controversial deployment prompted unsuccessful petitions to Kasich (from members of the public, Cincinnati City Council members, environmentalists, and some state legislators), who asked Kasich to recall the troopers.

Prison privatization
To offset a state budget deficit, Kasich proposed selling five state prisons to the for-profit prison industry. The Lake Erie prison was sold for $72.7 million to the Corrections Corporation of America (CCA), generating savings of $3 million. Kasich's Director of Corrections, Gary Mohr, whom he had hired in January 2011, had previously worked for CCA, but he said that he removed himself from the sales process. In an audit in October 2012, CCA was cited for 47 contractual violations, and failed a second audit later that year. In July 2015, the Kasich administration announced its intent to sell the North Central Correctional Institution at Marion, in order to recoup the state's original investment in the facility and invest the proceeds in community-based alternatives to prison.

Policing standards
Following the separate fatal police shootings of John Crawford III and Tamir Rice, a 12-year-old boy in Ohio, while each were holding BB guns, grand juries decided not to indict any of the officers involved. Following this, Kasich created the Ohio Collaborative Community-Police Advisory Board "to address what he described as frustration and distrust among some Ohioans toward their police departments, particularly among the black community." The 23-member task force (with 18 members appointed by Kasich) was appointed in January 2015 and issued its 629-page final report and recommendations in April 2015. The report recommended greater accountability and oversight for police agencies and officers, further community education and involvement in policing, and new use-of-force and recruitment, hiring, and training standards for police agencies.

In April 2015, Kasich created the Ohio Collaborative Community-Police Advisory Board, a twelve-member board tasked (in conjunction with the Ohio Office of Criminal Justice Services and the Ohio Department of Public Safety) with developing statewide standards for the recruiting, hiring and screening of police officers, and for the use of force (including deadly force) by police. The advisory board, the first of its kind in Ohio, was also tasked by Kasich with developing "model policies and best practice recommendations to promote better interaction and communication between law enforcement departments and their home communities." In August 2015, the board issued its recommendations, which placed "an emphasis on the preservation of human life and restrict officers to defending themselves or others from death or serious injury."

In August 2015, Kasich said that he was open to the idea of requiring police officers to wear body cameras.

Capital punishment
As governor, Kasich presided over the executions of fifteen inmates and commuted the death sentences of seven inmates. The last execution in Ohio took place in July 2018. In January 2015, Kasich announced that, due to pending litigation and other issues, he was delaying all seven executions scheduled through January 2016. The delay was largely attributed to European pharmaceutical companies, which have refused to supply the state with deadly drugs necessary for executions. In February 2017, Kasich again delayed Ohio executions for an additional three months, after a federal judge ruled that Ohio's three-drug lethal injection protocol is unconstitutional.

Executive clemency
Kasich used his power of executive clemency sparingly. He has the lowest clemency rate of any Ohio governor since at least the 1980s, when records began to be kept. In six years in office, Kasich granted 86 of the 2,291 requests that he acted upon. In 2016, Kasich granted executive clemency to 13 people; in all of the cases, the Ohio Adult Parole Authority had recommended clemency.

Criminal justice reform issues
Kasich supports various criminal justice reform efforts; according to conservative Washington Post columnist George Will, Kasich "favors fewer mandatory minimum sentences and has instituted prison policies that prepare inmates for re-integration into communities." In 2011, Kasich signed sentencing reform legislation which allowed judges to sentence defendants convicted of non-violent fourth- and fifth-degree felonies to "community-based halfway house facilities" instead of prison; expanded the earned credit system to allow inmates to reduce their sentences; and allowed felons who have already served 80 percent or more of their sentences to be immediately released.

In 2012, Kasich signed into law a bill, sponsored by Cleveland Democratic Senator Shirley Smith and Cincinnati Republican Senator Bill Seitz, easing the collateral consequences of criminal conviction.

In September 2014, Kasich touted the Ohio's prison system's recidivism rate, which is one of the lowest in the nation. U.S. Senator Rob Portman, a Republican, attributed a drop in Ohio's recidivism rate "to the bipartisan work of the state legislature, Governor Kasich, Ohio's reentry leaders and the success of programs made possible at the federal level by the Second Chance Act," which Portman sponsored.

In 2015, Kasich proposed a state budget including $61.7 million for addiction treatment services for prisoners.

Drug policy
Kasich initially expressed opposition to medical marijuana in 2012, saying "There's better ways to help people who are in pain." However, in late 2015 and early 2016, Kasich said he was open to the legalization of medical marijuana.

In March 2014, in an effort to address the opioid epidemic, Kasich signed legislation (passed unanimously in both chambers of the state legislature) expanding the availability of naloxone, a lifesaving antidote to opioid overdoses. The measure allowed friends and family members of addicts to obtain access to naloxone and for first responders to carry naloxone. In July 2015, Kasich signed legislation further expanding the availability of naloxone, making it available without a prescription.

In a 2015 interview with radio talk show host Hugh Hewitt, Kasich said he was opposed to the legalization of recreational marijuana and equated the drug to heroin, stating: "In my state and across this country, if I happened to be president, I would lead a significant campaign down at the grassroots level to stomp these drugs out of our country."

When Kasich was asked by Hewitt whether, if elected president, he would federally enforce marijuana laws in states which have legalized marijuana, Kasich characterized it as a states' rights issue and said that "I'd have to think about it." When asked the same question later in 2015, Kasich said: "I would try to discourage the states from doing it ... but I would be tempted to say I don't think we can go and start disrupting what they've decided."

Kasich opposed Issue 3, an Ohio ballot measure in 2015 that proposed the legalization of recreational marijuana, saying it was a "terrible idea".

State budgets and taxation
During Kasich's tenure, the state has eliminated a budget shortfall that his administration has estimated at $8 billion, but which the Cleveland Plain Dealer estimated at closer to $6 billion. (The New York Times put the number at $7.7 billion). Ohio also increased its "rainy day fund" from effectively zero to more than $2 billion.

Kasich "closed the budget shortfall in part by cutting aid to local governments, forcing some of them to raise their own taxes or cut services. And increasing sales taxes helped make the income tax cuts possible." An analysis by the Plain Dealer in March 2016 found that more than 70 cities and villages had lost at least $1 million a year due to Kasich's budget and taxation policy.

In March 2008, Kasich called for "phasing out" Ohio's state income tax.

During Kasich's time as governor, Ohio ranked 22nd out of the 50 states for private-sector job growth, at 9.3%. Kasich signed a state budget in 2011 which eliminated the state's estate tax effective January 1, 2013.

In 2013, Kasich signed into law a $62 billion two-year state budget. The budget provided for a 10-percent state income tax cut phased in over three years, and an increase in the state sales tax from 5.5 percent to 5.75 percent. It also included a 50% tax cut for small business owners on the first $250,000 of annual net income. Kasich used his line-item veto power to reject a measure that would stop the Medicaid expansion (which Kasich had accepted from the federal government) to cover nearly 275,000 working poor Ohioans.

In 2015, Kasich signed into law a $71 billion two-year state budget after using his line-item veto power to veto 44 items. The overall 2015 budget provides a 6.3 percent state income-tax cut as a part one component of a $1.9 billion net tax reduction and lowers the top income-tax rate to slightly below 5 percent. The budget also "spends $955 million more in basic state aid for K-12 schools than the last two-year period"; "boosts state funding for higher education to help offset a two-year tuition freeze at public universities"; expands the Medicaid health program; increases cigarette taxes by 35 cents a pack; and "prohibits independent health care and child care workers under contract with the state from unionizing."

Senate Bill 5 and labor issues
On March 31, 2011, in his first year as governor, Kasich signed into law Senate Bill 5, a controversial labor law which restricted collective bargaining rights of public employees, such as police officers, firefighters, and teachers. The legislation, championed by Kasich, prohibited all public employees from striking and restricted their ability to negotiate health care and pension benefits. The final version of the legislation signed by Kasich had passed the state Senate in a 17–16 vote (with six Senate Republicans joining all of the Senate Democrats in voting no) and the state House in a 53–44 vote, with two members abstaining.

Democrats and labor unions opposed the legislation and placed a referendum on the November 2011 ballot to repeal SB 5. SB 5 also "sparked numerous protests with thousands of union workers and other opponents descending on the Statehouse, mirroring similar demonstrations in Wisconsin and injecting Ohio into the national debate over Republican governors' attempts to curb public workers' collective bargaining rights." Kasich and other supporters of SB 5 characterized the legislation as a necessary measure "to help public employers control labor costs" and reduce tax burdens to make Ohio more competitive with other states, while labor unions and other opponents characterized the bill as "a union-busting attack on the middle class."

Ohio voters rejected Senate Bill 5 in a 61 percent to 39 percent vote, which was viewed as a rebuke to Kasich. On election night, Kasich said in a speech at the Ohio Statehouse that "It's clear the people have spoken. I heard their voices. I understand their decision. And frankly, I respect what the people have to say in an effort like this." Following this defeat, Kasich dropped efforts to pass broad-based collective bargaining restrictions, although in 2012 he supported a bill including "provisions reminiscent of Senate Bill 5" but applying only to the Cleveland Metropolitan School District.

In May 2015, Kasich rescinded executive orders issued by his predecessor Ted Strickland in 2007 and 2008 that provided the right to home health care contractors and in-home child care contractors to collectively bargain with the state.

Balanced budget amendment
Kasich has campaigned for a balanced budget amendment to the U.S. Constitution. Kasich created a 501(c)(4) group, Balanced Budget Forever, to promote the cause.

Free trade
Kasich said in 2016 that "I have never been an ideological supporter of free trade," but has long supported free trade agreements. He is a strong supporter of the Trans-Pacific Partnership, and participated with others in a meeting with President Obama in support of the agreement.

Civil liberties and electronic surveillance
In speaking in the 2016 campaign on domestic surveillance, Kasich has "straddled the line," praising Rand Paul for saying that "we need to get warrants," but also saying "if there's information they need, the government needs to get it." Kasich has said there needs to be "a balance between good intelligence and the need to protect Americans from what can become an aggressive government somewhere down the road."

On one occasion, Kasich spoke out against proposals to mandate that technology companies provide a "backdoor" for the government to access encrypted devices, saying that this could end up aiding hackers. On a subsequent occasion, Kasich said that encryption was dangerous because it could stymie government antiterrorism investigations.

Kasich has condemned whistleblower Edward Snowden as a traitor.

Education
Kasich proposed new legislation which would increase funding to charter schools and poor school districts. He canceled the school-funding formula put into place by his Democratic predecessor, Governor Ted Strickland.

During Kasich's tenure as governor, he pushed to expand charter schools, increase the number of school vouchers that use public money to pay for tuition at private schools, implement a "merit pay" scheme for teachers, and evaluate teachers by student standardized test scores in math and reading. Kasich supports the Common Core State Standards and has criticized Republicans who turned against it.

During Kasich's tenure, funding for traditional public schools declined by about $500 million, while funding for charter schools has increased at least 27 percent. As calculated by the Howard Fleeter/Education Tax Policy Institute, total school funding under Kasich (including both charter and district schools) has ranged from a low of $7.1 billion in fiscal year 2013 to $7.8 billion in fiscal year 2015, which was higher than its previous peak under Kasich's predecessor, Ted Strickland. As calculated by the Howard Fleeter/Education Tax Policy Institute, Kasich has proposed total school funding of $8.0 billion in fiscal year 2016 and fiscal year 2017. The Ohio Department of Education—which includes more spending areas than Fleeter's does and so reports higher numbers —projects total school funding for Ohio schools to rise to slightly under $10.5 billion by the end of fiscal year 2017.

Analysts disagree "on whether Kasich's education budgets give increases beyond inflation." In the 2015 state budget, Kasich used his line-item veto power "to cut more than $84 million of funding from public schools."

According to a September 2014 story in the Columbus Dispatch, Kasich favored allowing public school districts "to teach alternatives to evolution—such as intelligent design—if local school officials want to, under the philosophy of 'local control.'"

In 2011, Kasich had the idea of establishing a Holocaust memorial on the grounds of the Ohio Statehouse. Kasich successfully secured approval of the proposal from the Capital Square Review and Advisory Board. The $2 million Ohio Holocaust and Liberators Memorial, designed by Daniel Libeskind, is located across from the Ohio Theatre; the memorial was dedicated in 2014.

Foreign and defense policy
In November 2002, Kasich urged the invasion of Iraq, telling a crowd of students at Ohio State University: "We should go to war with Iraq. It's not likely that (Saddam) Hussein will give up his weapons. If he did he would be disgraced in the Arab world."

In an interview in August 2015, Kasich said: "I would never have committed ourselves to Iraq." A Kasich spokesman subsequently said that "Kasich was not revising history" but was instead saying that the Iraq War was a mistake given the facts available now.

Kasich has said that the U.S. "should've left a base in Iraq" instead of withdrawing troops in 2011.

In 2015, Kasich said that airstrikes were insufficient to combat the Islamic State of Iraq and the Levant, and he would send U.S. ground troops to fight ISIL.

Kasich opposed the landmark 2015 international nuclear agreement with Iran, and in September 2015 was one of fourteen Republican governors who sent a letter to President Obama stating "that we intend to ensure that the various state-level sanctions [against Iran] that are now in effect remain in effect," despite the agreement.

Kasich has expressed support for the U.S.'s drone program. He has said, however, that the program should be overseen by the Department of Defense, and not by the CIA.

Kasich has said that he wants to lift budget sequestration for military spending, and "spend more if necessary."

In November 2015, Kasich said that if elected president, he "would send a carrier battle group through the South China Sea" to send a message to China regarding their claims of sovereignty there.

Kasich supports continued U.S. support of Saudi Arabia, but he criticized Saudi Arabia's "funding and teaching of radical clerics who are the very people who try to destroy us".

Kasich favors strong relations between the U.S. and its NATO allies. He supported Senator John McCain's call for maintaining existing U.S. sanctions on Russia, and condemned the Trump administration's consideration of lifting sanctions. Like McCain, Kasich supports imposing "tougher sanctions against Russia and Putin's inner circle." He supports a bipartisan investigation into Russian interference in the 2016 United States elections.

LGBT rights
By the mid-2010s, Kasich had shown much more support for LGBT rights than many of his Republican counterparts. However, during his time in Congress, Kasich was much less accepting, and voted for the Defense of Marriage Act, which barred federal recognition of same-sex marriage. During this period, Kasich supported a ban on same-sex marriage in Ohio and stated that he did not approve of the "gay lifestyle." As governor of Ohio, Kasich signed an executive order banning discrimination on the basis of sexual orientation for state employees; this was more narrow than the previous executive order signed by his predecessor because it omitted protections for gender identity.

During the 2016 presidential campaign, Kasich struck a more moderate tone compared to his Republican opponents. In June 2015, following the U.S. Supreme Court's decision in Obergefell v. Hodges, which held that there is a fundamental right to same-sex marriage under the Fourteenth Amendment, Kasich said that he was "obviously disappointed" and that he believes in "traditional marriage," but that the ruling was "the law of the land and we'll abide by it" and that it was "time to move on" to other issues. During his time as Ohio governor, Kasich appointed Richard Hodges as Ohio Director of Health, who was the lead-respondent in the case.

Kasich indicated that he did not support an amendment to the U.S. Constitution to overturn the decision. In response to a debate question about how he would explain his position on same-sex marriage to one of his daughters if she were gay, Kasich responded, "The court has ruled, and I said we'll accept it. And guess what, I just went to a wedding of a friend of mine who happens to be gay. Because somebody doesn't think the way I do doesn't mean that I can't care about them or can't love them. So if one of my daughters happened to be that, of course I would love them and I would accept them. Because you know what? That's what we're taught when we have strong faith."

In September 2015, Kasich commented on the highly publicized case of Kim Davis (the Rowan County, Kentucky clerk who refused to comply with a federal court order directing her to issue marriage licenses to same-sex couples), saying: "Now, I respect the fact that this lady doesn't agree but she's also a government employee, she's not running a church, I wouldn't force this on a church. But in terms of her responsibility I think she has to comply. I don't think — I don't like the fact that she's sitting in a jail, that's absurd as well. But I think she should follow the law."

In a March 2018 interview on The Rubin Report, Kasich passively came out in support of same-sex marriage saying "I'm fine with it," but stated that he now preferred to show himself as someone in the "Billy Graham tradition" that "avoided social issues". In December 2018, Kasich signed an executive order extending non-discrimination protections for gender identity, including trans and non-binary identities, to state employees in Ohio.

Gun policy
While in the U.S. House of Representatives, Kasich had a mixed record on gun policy. He was one of 215 Representatives to vote for the Federal Assault Weapons Ban, which became law in 1994, but voted against the Brady Handgun Violence Prevention Act ("Brady Bill"), which established current background check laws.

As governor, Kasich shifted to more pro-gun positions. In 2011, he signed one bill permitting concealed handguns in bars and another making it easier for people with misdemeanor drug convictions to purchase guns. In 2012, Kasich signed a bill allowing gun owners to transport weapons with loaded magazines in their vehicles and expanding concealed carry permit reciprocity. In December 2014, Kasich signed legislation that reduced the numbers of hours of training required to obtain a concealed carry permit and eliminated the training requirement for permit renewals.

After the Stoneman Douglas High School shooting in February 2018, Kasich called for restrictions on the sales of AR-15 style rifles.

Health care
Kasich opted to accept Medicaid-expansion funding provided by the Patient Protection and Affordable Care Act (ACA or "Obamacare") in Ohio. This decision angered many Statehouse Republicans, who wanted Kasich to reject the expansion.

Total spending on Medicaid by the state was almost $2 billion (or 7.6 percent) below estimates for the fiscal year ending in June 2015, according to a report by Kasich's administration. The lower-than-expected costs were attributed to expanded managed care, shorter nursing home stays and increased in-home care for seniors, capitated reimbursement policies, increased automation to determine eligibility for the program and pay care providers, and an improving economy in the state which allowed some participants to move out of the program.

In an October 2014 interview, Kasich said that repeal of the ACA was "not gonna happen" and stated that "The opposition to it was really either political or ideological. I don't think that holds water against real flesh and blood, and real improvements in people's lives." Kasich later said that he was referring solely to the law's Medicaid expansion, and that "my position is that we need to repeal and replace" the rest of the law. In 2015, Kasich expressed support for many provisions of the ACA (ensuring coverage for people with preexisting conditions, the use of insurance exchanges, and Medicaid expansion), but opposed mandates.

In 2017, after Donald Trump took office and congressional Republicans maneuvered to repeal the ACA, Kasich criticized Republican hard-liners in Congress who demanded a full ACA repeal, saying that full repeal was "not acceptable" when 20 million people gained insurance under the ACA and that doing so would be a "political impossibility." Kasich urged that the Medicaid expansion be preserved in some form, criticizing the House Republican legislation that would cut the Medicaid expansion and phase out health insurance subsidies for low-income Americans. Kasich said that the nation's "soul" was at stake if Republicans passed legislation that left millions without health insurance. After the failure of the House Republican health-care legislation, Kasich met in Washington with members of the Republican Tuesday Group and urged fellow Republicans to work with Democrats to make more modest changes to the Affordable Care Act. In May 2017, Kasich said that the version of the Republican health care bill that passed the House was "inadequate" and would harm patients; Kasich said that Republicans "should've worked with the Democrats" on the bill rather than passing legislation merely to fulfill a campaign pledge.

In June 2017, Kasich said that he didn't "have a problem" with gradually phasing out the ACA's expansion of Medicaid over a seven-year period, but only if Congress provided states with significantly more, more than the House Republican bill provided for, and only if Congress granted states more authority to manage the program. Along with three other Republican governors (Asa Hutchinson of Arkansas, Brian Sandoval of Nevada, and Rick Snyder of Michigan), Kasich signed a letter to Senate Majority Leader Mitch McConnell with an outline of their wishes for a health care bill. Kasich and the others specifically called upon Congress to "end the requirement that state Medicaid programs cover nearly every prescription drug approved by the Food and Drug Administration." Kasich and the other governors' views were seen as influential, because their states have Republican senators and the Republicans have only a narrow majority in the Senate.

Immigration and refugees
In 2010, while running for governor, Kasich expressed support for amending the U.S. Constitution to abolish the Fourteenth Amendment's guarantee of jus soli (birthright) citizenship for people born in the United States. Kasich also told the Columbus Dispatch at the time that "One thing that I don't want to reward is illegal immigration."

In 2014, Kasich acknowledged that his stance on immigration has "evolved" because "maybe [I'm] a little smarter now," stating: "I don't want to see anybody in pain. So I guess when I look at this now, I look at it differently than I did in '10. ... When I look at a group of people who might be hiding, who may be afraid, who may be scared, who have children, I don't want to be in a position of where I make it worse for them." That year, Kasich expressed openness to a path to citizenship for undocumented immigrants, saying at a Republican Governors Association (RGA) meeting in Florida, "I don't like the idea of citizenship when people jump the line, [but] we may have to do it." Kasich was the only governor at the RGA conference "to express openly a willingness to create a pathway to citizenship for undocumented immigrants."

In August 2015, while running for president, Kasich called for a path to legal status (but not necessarily citizenship) for undocumented immigrants and for a guest worker program. Kasich also appeared to disavow his earlier stance against birthright citizenship, stating "I don't think we need to go there"; called for completion of a fence along the U.S.-Mexico border; and noted that undocumented immigrants who were brought to the U.S. as young children may obtain driver's licenses in Ohio.

In October 2015, Kasich criticized Donald Trump's "plan to build a wall along the Mexican border and remove immigrants who entered the United States illegally," calling these notions "just crazy."

In September 2015, Kasich said that the U.S. had a moral responsibility to accept refugees fleeing war and violence in Syria. Subsequently, however, Kasich moved to the right, and in November 2015 wrote a letter to President Obama asking that no additional Syrian refugees be resettled in Ohio. Kasich opposed Trump's executive order on travel and immigration, which Trump signed one week after taking office in January 2017. Kasich said that the order was "ham-handed" because it "sowed so much confusion" and "sent a message that somehow the United States was looking sideways at Muslims."

Lieutenant governor
Kasich has a "long-standing political partnership" with his lieutenant governor, Mary Taylor. In 2014, Kasich defended Taylor after her chief of staff, and that chief of staff's administrative assistant, resigned following a timesheet probe. Kasich said of Taylor's handling of the matter: "Mary did the right thing and I support her."

In 2017, the Kasich-Taylor relationship frayed after Taylor abandoned Kasich ally Matt Borges in his bid for chairman of the Ohio Republican Party, and instead chose to support Jane Timken, who was actively supported by Donald Trump, who sought revenge against Kasich for his choice not to endorse Trump. Nevertheless, Kasich indicated that Taylor had "been a good partner" over his term and indicated that he would support her if she chose to run for governor in 2018.

Racial diversity in Cabinet
Upon taking office in 2011, Kasich received criticism for appointing an initial all-white cabinet of 22 members. Responding to criticism for not appointing any black, Hispanic, or Asian Cabinet members, Kasich said: "I don't look at things from the standpoint of any of these sort of metrics that people tend to focus on, race or age, or any of those things. It's not the way I look at things... I want the best possible team I can get." Shortly afterward, on February 2, 2011, Kasich made his first minority appointment to the Cabinet, naming Michael Colbert, a black man, to lead the Ohio Department of Job and Family Services.

, four members of Kasich's Cabinet were members of racial minorities.

Transportation
Throughout his first gubernatorial campaign, Kasich opposed the Ohio Hub higher-speed passenger rail project (a proposed 258-mile Cleveland-to-Cincinnati train) and promised to cancel it, claiming that it would average speeds of merely 36 mph. In his first press conference following his election victory, Kasich declared "That train is dead...I said it during the campaign: It is dead."

As governor-elect, Kasich lobbied the federal government to use $400 million in federal dollars allocated for high-speed rail for freight rail projects instead. In a November 2010 letter to Kasich, Transportation Secretary Ray LaHood wrote that the federal funding was specifically allocated by the 2009 economic stimulus act for high-speed rail, and could not be used for other purposes. In a December 2010 meeting with President Barack Obama, Kasich again unsuccessfully lobbied to use the grant money for freight rail rather than high-speed rail.

In December 2010, the U.S. Department of Transportation announced that Ohio would lose the $385 million in grant funds allocated for high-speed passenger rail, since Kasich had informed them that he had no intention of ever building high-speed rail projects. (Almost $15 million had already been spent for preliminary engineering. ) The $385 million was instead diverted to other states, such as California, New York, and Florida, which planned high-speed rail using the grant money for its congressionally intended purpose. Outgoing governor Ted Strickland, who championed the project, expressed disappointment, saying that the loss of funding for the project was "one of the saddest days during my four years as governor" and that "I can't understand the logic of giving up these vital, job-creating resources to California and Florida at a time when so many Ohioans need jobs."

Kasich is an opponent of the Cincinnati Streetcar project. In April 2015, Kasich signed a two-year transportation budget bill which allocated $7.06 billion for highway construction and maintenance, $600 million to local governments for road and bridge projects, and an additional million over the last budget for public transportation.

Voting rights
In February 2014, Kasich signed into law a bill which cut six days from Ohio's early voting period, including the "golden week" (a period at the beginning of early voting when voters could both register to vote and cast an in-person absentee ballot). The measures were hotly contested in the state legislature, passing on a party-line vote, with Republicans in favor and Democrats opposed. This measure prompted two federal lawsuits. The first lawsuit, brought by the American Civil Liberties Union of Ohio on behalf of the NAACP and League of Women Voters of Ohio, resulted in a settlement in April 2015, in which the state agreed to provide evening and Sunday hours for early voting in elections in Ohio through 2018. The second lawsuit, Ohio Democratic Party v. Husted, was brought in May 2015 by Democratic election lawyer Marc Elias; plaintiffs argued that the Ohio bill eliminating "golden week" violated the Constitution and the Voting Rights Act because it disproportionately burdened black, Latino and young voters. The federal district court agreed and struck down the legislation, but the U.S. Court of Appeals for the Sixth Circuit reversed that decision in a 2–1 vote, and the U.S. Supreme Court declined to hear an appeal. In July 2015, Kasich said that it was "pure demagoguery" for Hillary Clinton to "say that there are Republicans who are deliberately trying to keep people from voting." In April 2015, Kasich used his line-item veto power to veto a provision added to a highway-budget bill by Republicans in the state legislature that would have required college students who register to vote in Ohio to obtain a state driver's license and vehicle registration, imposing an estimated $75 in motor vehicle costs on out-of-state college students who wanted to vote in the state. The veto was celebrated by voting rights advocates, Ohio Democrats, and the Cleveland Plain Dealer editorial board, which viewed the proposal as effectively a "poll tax" motivated by a partisan desire to limit college-town voting.

Judicial appointments
In Ohio, justices of the Ohio Supreme Court are elected, but the governor can fill unexpired terms. In May 2012, Ohio Supreme Court Associate Justice Evelyn Lundberg Stratton announced she would retire at the end of 2012. In December 2012, Kasich appointed Judge Judith L. French to Stratton's unexpired term, which ran from January 1, 2013, through January 1, 2015.

Impeachment of Donald Trump
On October 18, 2019, Kasich publicly stated that Donald Trump should be impeached. He had previously said there was not enough evidence to impeach the President.

2016 presidential campaign
In April 2015, Kasich announced the formation of his "New Day For America" group. Formerly a 527 group, it filed as a super PAC in July 2015. Between April 20 and June 30, 2015, the super PAC raised over $11.1 million from 165 "reportable contributions," including 34 contributions of $100,000 or more. Major contributors to the PAC include Floyd Kvamme, who donated $100,000, and Jim Dicke, chairman emeritus of Crown Equipment Corporation, who donated $250,000. According to FEC filings, Kasich's campaign had $2.5 million on hand at the beginning of 2016.

In May 2015, sources close to him had said he was "virtually certain" to run for the Republican nomination for president. On July 21, 2015, Kasich announced his candidacy for the Republican presidential nomination during a speech at the Ohio Union, the student union of his alma mater, the Ohio State University.

On January 30, 2016, the New York Times endorsed Kasich for the Republican nomination. The Times editorial board strongly rebuked leading candidates Donald Trump and Senator Ted Cruz and wrote that Kasich, "though a distinct underdog, is the only plausible choice for Republicans tired of the extremism and inexperience on display in this race."

On the campaign trail, Kasich sought to project a sunny, optimistic message, describing himself as "the prince of light and hope." This marked a change in tone for Kasich, who had developed a reputation as an abrasive governor. Viewed as a long-shot contender, Kasich took an "above-the-fray approach to his rivals" and "ran unapologetically as a candidate with experience" even as others ran as "outsider" contenders. Kasich came in second place in the New Hampshire primary on February 9, 2016, behind winner Trump. The Cincinnati Enquirer reported that this was "the best possible result" for Kasich and lent "credence to the notion that he can emerge" as a Republican alternative to Trump and Cruz.

Ultimately, however, Kasich's message "never caught on in a campaign that ... exposed the anger and frustration coursing through the electorate" and he "found himself stuck in fourth place in a three-man race, trailing Senator Marco Rubio of Florida in the delegate count" although Rubio had dropped out of the race in March. The only state won by Kasich was his home state of Ohio, which gave him 66 delegates in its March 2016 winner-take-all primary but still left him with "a steep delegate deficit against his rivals." Kasich's unsuccessful campaign strategy hinged on the possibility of a contested (or brokered) Republican National Convention, in which no single candidate has enough delegates to win the nomination on the first ballot, something that has not happened in either of the two major parties' presidential nominating conventions since 1952. Kasich suspended his campaign for the Republican presidential nomination on May 4, 2016, one day after Trump won the Republican primary in Indiana. The third remaining contender, Cruz, quit the race shortly before Kasich did, leaving Trump as the only candidate remaining in the Republican field and hence the party's presumptive nominee.

A 2018 study on media coverage of the 2016 election noted "the paradox of the Kasich campaign's longevity while it lacked public interest provides some evidence for the idea that Kasich's biggest supporters were the media".

Aftermath
Following his withdrawal from the race, Kasich did not extend his support to Trump. In May and June 2016, Kasich said that Trump was a divisive figure rather than a "unifier," said he had no plans to endorse Trump in the near future, and ruled out the possibility of seeking the Vice Presidency as Trump's running mate.

Kasich said it was "hard to say" whether he would ever endorse Trump; he added, "I can't go for dividing, name calling, or somebody that doesn't really represent conservative principles." Kasich said he had ruled out voting for Clinton but lacked the enthusiasm to fully back Trump.

In August 2016, Kasich repeated an earlier claim that the Trump campaign had offered him a powerful vice presidency, "putting him in charge of all domestic and foreign policy". The Trump campaign denied that such an offer had been made. Kasich also doubted whether Trump could win Ohio, a critical state in the election. It was speculated that Kasich was looking towards a 2020 campaign. This speculation was strengthened by a report that Kasich had planned to give a speech to the American Enterprise Institute less than 48 hours after the election but cancelled it the morning after the election when it was clear that Trump had won.

Kasich received an electoral vote for the presidency from one faithless elector, Christopher Suprun of Texas, who had been pledged to vote for Trump. An elector in Colorado also attempted to vote for him, but that vote was discarded; the elector was replaced by an alternate elector who voted, as pledged, for Clinton.

Opposition to Trump
In February 2017, Kasich met with Trump at the White House in a private meeting that followed a bitter feud. Kasich indicated that he hoped for Trump's success, but would continue to be critical when he thought it was necessary. The same month, Kasich's chief political advisors launched a political group, Two Paths America, in an effort to promote Kasich and his views and draw a contrast with Trump. In April 2017, Kasich also released a book, Two Paths: America Divided or United, written with Daniel Paisner. The creation of the group prompted speculation he could possibly run for president again, but Kasich said that he had no plans to seek elected office in the future.

In April 2017, during a CNN town hall, Kasich, while stating that he was "very unlikely" to do so, reopened the possibility that he might run for president in 2020. On August 20, however, he reiterated his previous statement that he had no plans to run; rather, he stated that he was "rooting for [Trump] to get it together."

In October 2017, during an interview with CNN's Jake Tapper, Kasich said he had not "given up" on the Republican Party, but added that "if the party can't be fixed ... I'm not going to be able to support the party. Period. That's the end of it." In March 2018, he told The Weekly Standard that he was "increasingly open" to running for president in the 2020 presidential election; however, in May 2019, he again declared that he would not seek the presidency in 2020.

In October 2019, Kasich expressed support for the impeachment inquiry against Trump, saying that the "final straw" for him was when Trump's acting chief of staff Mick Mulvaney admitted that Trump had withheld U.S. aid from Ukraine in part to pressure the country to investigate Trump's domestic political rivals, a statement that Mulvaney later said was misconstrued.

Kasich confirmed on August 10, 2020, that he would be speaking at the 2020 Democratic National Convention in support of presumptive Democratic presidential nominee Joe Biden. Kasich said that his conscience compelled him to speak out against Trump and in support of Biden, even if it resulted in blowback against him, adding, "I've been a reformer almost all of my life. I've been very independent and I'm a Republican but the Republican Party has always been my vehicle but never my master. You have to do what you think is right in your heart and I'm comfortable here."

Personal life
Kasich has been married twice. His first marriage was to Mary Lee Griffith from 1975 to 1980, and they had no children. Griffith has campaigned for Kasich since their divorce. Kasich and his current wife, Karen Waldbillig, a former public relations executive, were married in March 1997 and have twin daughters, Emma and Reese.

Kasich was raised a Catholic, but considers denominations irrelevant, while stating that "there's always going to be a part of me that considers myself a Catholic." He drifted away from his religion as an adult, but came to embrace an Anglican faith after his parents were killed in a car crash by a drunk driver on August 20, 1987. He joined the Episcopal Church as an adult. Kasich has said he "doesn't find God in church" but does belong to St. Augustine's in Westerville, Ohio, which is part of the Anglican Church in North America, a conservative church with which he remained when it broke off from the Episcopal Church.

Published works
Kasich has authored five books:
 * Courage is Contagious, published in 1998, made the New York Times bestseller list
 * Stand for Something: The Battle for America's Soul, published in 2006
 * Every Other Monday, published in 2010. This book is a New York Times bestseller.
 * Two Paths: America Divided or United, published in 2017
 * It's Up to Us: Ten Little Ways We Can Bring About Big Change, published in 2019

title: John Kasich


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User:Tgermer~enwiki

Hi, my name is Tim Germer.

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Sakichi Toyoda

Sakichi Toyoda (豊田 佐吉) was a Japanese inventor and industrialist. He was born in Kosai, Shizuoka. The son of a farmer and sought-after carpenter, he started the Toyoda family companies. His son, Kiichiro Toyoda, would later establish Japan's largest automaker, Toyota. Toyoda is referred to as the "King of Japanese Inventors".

Toyoda Automatic Loom Works
Toyoda Automatic Loom Works was the engineering manufacturing company established by Sakichi Toyoda in 1926. It earned him the moniker of father of the Japanese industrial revolution. He is also the founder of Toyota Industries Co., Ltd.

Toyoda invented and innovated numerous textile-focused weaving devices, introducing innovative fueling systems used to power his Toyoda-branded machines. His most famous invention was the automatic power loom in which he implemented the principle of Jidoka (autonomous automation). The principle of Jidoka, which means that the machine stops itself when a problem occurs, became later a part of the Toyota Production System.

Toyoda developed the concept of 5 Whys: When a problem occurs, ask "why" five times to try to find the source of the problem, then put into place something to prevent the problem from recurring. This concept is used today as part of applying lean methodologies to solve problems, improve quality, and reduce costs.

The luxury vehicle Toyota Century, introduced in 1967, derived its name from the 100th birthday of Sakichi Toyoda.

On April 15, 1973, the Japan Patent Office selected him as one of Ten Japanese Great Inventors.

Early life and education
Sakichi Toyoda was born on March 19 (the 14th of the 2nd month in East Asian Lunar Calendar), 1867, in Yamaguchi, Tōtōmi Province (present-day Kosai, Shizuoka), to Ikichi and Ei Toyoda. Ikichi was a carpenter and a farmer, and he taught carpentry to his son. Sakichi's boyhood would coincide with the end of the shogunate era, replaced by the Meiji and its reformist policies. Sakichi was an avid reader in his youth, and he organized a youth study group for teens. Inspired by a trip to Ueno to visit the Third National Machinery Exposition, he later revolutionized the textile industry, powered by steam, oil, and electricity.

Family tree
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title: Sakichi Toyoda


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Talk:Honda Jazz

Requested move
Honda Jazz → Honda Fit … Rationale: Both names are just about equally recognized in the Anglophone world. However, "Fit" is the name used in its home country, Japan, where it is immensely popular. "Fit" is also more specific; "Honda Jazz" can refer to three unrelated vehicles which this article barely mentions. This article should be moved and "Jazz" should be a disambig page. AKADriver 18:57, 11 April 2006 (UTC)
 * Moved, since there was no opposition. — Nightst a  llion  (?) Seen this already? 13:42, 18 April 2006 (UTC)

Honda Fit
Now that is has been announced that Honda will market the Jazz under the name Fit in the US starting in the spring of 2006 should we move this article to Honda Fit? Understandably the name Jazz has been around longer, but the precedent for the site (at least the english language version) seems to be to use the American name as the default and redirect the international names. --MrCalifornia 04:09, 9 February 2006 (UTC)

 * I think the article should stay as Honda Jazz. Although the Fit will be introduced in the US in April 2006, and this is an English language page, the article still does talk about the two other models also known as the Jazz.  In addition, all searches for "Honda Fit" are already directed to this page, and this article is listed on the disambiguation page for "Fit".
 * The article also states specifically (in the beginning) that this vehicle is called the Fit in certain countries like Japan and the US. When I rewrote the article, I made sure to include both names properly so confusion should be kept at a minimum.  Also, Americans are just one of many English-speaking nationalities that read this page, so I don't see why it should be changed simply for that reason.  I think Jazz is fine.--Hungarian83 02:00, 10 February 2006 (UTC)

 * I would argue that "Fit" is more appropriate for the current Jazz/Fit model, since that is the home-market name for the car. All the models are substantially similar worldwide.  The US market is late to the game and shouldn't be used as a guide here, but Japan created the car, and it is currently the best-selling car in Japan, under the name Fit.
 * Yes, this article currently has blurbs about the "other" Jazzes, but it doesn't have to. Honda Jazz should be a disambiguation page with links to Honda Fit and the appropriate Isuzu Mysterious Utility and Honda City pages. As far as I've seen, the more mature and complete automotive articles have been the ones that group cars by substantial similarity and chronological continuity rather than just similar names.
 * In short, when a car model has two or more different names of roughly equal popularity, I think we should defer to the original name or the home market name. AKADriver 14:47, 11 April 2006 (UTC)

Rewrite of article 2006.01.30.
I reorganized the article since it seemed like it was being updated every now and then without any regards to structure or content. I added lots of information on the car and completely restructured the article. I also got rid of some errors about the engine (no such thing as a 1.1L Fit or Jazz). Also note that the 1.3L sold in Japan and the 1.4L sold in Europe are the same engine (1339cc L13A i-DSI). I think I made it fairly clear in the article, but please add/modify if it is not clear enough.

I tried to keep several parts of the original article that I thought were good, and of course the pictures I kept, but I added the automobile box. I hope I didn't step on anyone's toes, but I thought the article could use the overhaul. --Hungarian83 08:33, 30 January 2006 (UTC)

Why not the Jazz?
Why couldn't it have been called the Jazz in America? Fit is such an ugly word. Jazz is much classier. Let's hope we don't get the "That's" any time soon.

Honda jazz?
Isn't it called the jazz, instead of the Jazz? When I was in Europe, I saw many Honda jazzes, with the "j" on the badge on the back being lower case...   The RSJ    16:14, 2 September 2006 (UTC)
 * Regardless of the font style on the badge, it is referred to as "Honda Jazz" anywhere where the font is "case sensitive" - see e.g. . Regards, Bravada, talk - 17:25, 2 September 2006 (UTC)

Differences fit and jazz
Does the windshield of a jazz fit on a "fit" ??

Stef

--World arm lamp 11:31, 20 July 2007 (UTC)

title: Talk:Honda Jazz


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Talk:Differentiable curve

So far, this page just collects up material from various places. It clearly needs editorial work, and the addition of further topics.

Charles Matthews 08:49, 9 May 2004 (UTC)

Request for picture
It would be nice if someone could add a picture illustrating tangent vector, normal vector, binormal vector and osculating plane for a three dimensional curve. MathMartin 15:32, 21 May 2004 (UTC)

 * I added an illustration, although it doesn't show the osculating plane. Mark.Howison 21:06, 6 September 2007 (UTC)

Notation
I'm fairly sure the definition given for the Frenet vectors is wrong. E.g, the second vector, the normal, is given as c"/|c"|, which is proportional to the acceleration, and can be tangent to the curve.

However, I'm not completely certain of the correct definition for n dimensions. Could someone check and correct?

 * Yes they are probably wrong, I am checking the definitions.MathMartin 12:57, 22 May 2004 (UTC)

Also, is there any particular reason for the inner product notation. Writing the formulae as dot products, and suppressing most of the arguments, would make the page look less cluttered, and hence make the essential core of the formulae much clearer. Carandol 21:12, 21 May 2004 (UTC)

 * I prefer the dot product because it is harder to confuse with scalar multiplication.

 * The inner product notation is less familiar to most people, and takes up more space.

 * What do you mean by suppressing most of the arguments ?

 * Not explicitly stating the dependance on t every time. I think its easier to interpret

 * $$\mathbf{e}_i \cdot \mathbf{e}_i' = |C'|\, \chi_i \quad i<n

$$

 * than

 * $$\langle \mathbf{e}_i(t), \frac{d\mathbf{e}_{i+1}}{dt}(t) \rangle

= |\frac{dC}{dt}(t)|\, \chi_i(t) \quad i<n $$

 * because the second formulation contains inessential details. Carandol 05:14, 23 May 2004 (UTC)

 * I know the page is too cluttered at the moment, but I am still working on the page trying to find a good, coherent way to present the material. I will declutter the page in a few days. What is the deal with using v and v dot in the proof ? The dot notation (for derivatives) is not used on the page and v (as a vector) is not defined. I would like to remove the proof completely as it seems unneccessary. MathMartin 12:57, 22 May 2004 (UTC)

 * The proof probably is unnecessary. It should be enough to state the result, but I didn't want to change the structure of the page. However, the previous proof was incorrect because it claime the differential of c'/|c'| was c"/|c'|.

If we were stating the proof it would be to use an arbitary vector v, without inconvenient scalar factors to differentiate. Carandol 05:14, 23 May 2004 (UTC)

I would like the page to focus on the main theorem of differential curve theory and the methods used in differential geometry of curves. The important definitions should be on this page too. The more abstract curve stuff on general topological spaces is on the curves page but exactly what definitions belong to what page is still open, there is some unnecessary redundancy. I have to speak with User:Tosha as soon as this page has reached a sufficient maturity.

If you would like some more focus on physics (which seems likely as you speak of speed, acceleration and dot product) I would prefer to put it on a different page, perhaps the examples page, or a usage of differential geometry in physics page.

 * Not focus on physics, appeal to physical intuition Carandol 05:14, 23 May 2004 (UTC)

In any case it would be nice if you could leave the structure and focus of the page unchanged for a few more days until I am finished. I am of course very grateful for spellchecks and the remark on the frenet vectors.MathMartin 12:57, 22 May 2004 (UTC)

I will put all my replies here, because the deep indentations are too much for my brain :).

I want to keep the following notation
 * $$\langle \mathbf{e}_i(t), \mathbf{e}_i'(t) \rangle = \|c'\|\, \chi_i(t) \quad i<n

$$

instead of the simpler

 * $$\mathbf{e}_i \cdot \mathbf{e}_i' = |C'|\, \chi_i \quad i<n

$$

The article should deal with differential geometry on an arbitrary Riemannian manifold (I have not made this clear) and therefore I think
 * $$\langle \mathbf{a}, \mathbf{b} \rangle \mbox{ and } \| \mathbf{b} \|$$

is more apropriate and less ambiguous than the slightly shorter
 * $$\mathbf{a} \cdot \mathbf{b} \mbox{ and } | \mathbf{b} |$$

But you are correct that people used to euclidean space might only know the last notation.

I would prefer to keep the reference to the variable t because the frenet vector ei depends on t. The moving frame part of the frenet frame should be made clear because it is the central concept to differential geometry of curves.

I agree that your notation is simpler and might highlight the essential details better but it assumes the reader knows of the unwritten conventions (like dropping the t which in a different context means ei does not depend on t).

 * Just as the page currently assumes the reader knows about inner products, which are too large a subject to explain on this page. We could explicitly state we're dropping the t.

 * The biggest problem with the current format is the double brackets, the . Even though they're different in shape, it still takes the unpractised eye a perceptible moment to match them up correctly. How about a simple  with an explicit statement of convention? That would have most of the clarity advantages of my earlier suggestion, but would work equally well in non-Euclidean spaces. Carandol

 * Ok, you convinced me. The double brackets are bad. So we put a note somewhere (?) in the article that we drop t but we keep the inner product notation.MathMartin 17:23, 23 May 2004 (UTC)

 * Use the full notation, with (t) once, for the first appropriate equation, then say immediately afterwards something like "To keep the notation simple, rather than explicitly stating the dependance on t every single time, we will simply assume all quantities are functions of t, unless we explicitly state otherwise. This lets us write the last equation more simply as ... " Carandol

I want the article to be accessible to people who do not know the subject so I think it is better to have a more verbose and less ambiguous notation than the other ways round.

 * But we have to compromise somewhere, or the essential details get lost amidst the the thickets of explanation. Vectors themselves are a compact way of stating lists of coordinates with many implicit properties, assumed without a full explanation. The only question is precisely what level of compromise is appropriate for this topic, and you are putting forth a pretty good case. Carandol

What we could do is make a seperate page for curves in 2 and 3 dimensional euclidean space for people who want to look up certain formulas. The notation on the new page could be briefer and use dot notation.

 * I think the current Frenet-Seres page does much of that. Perhaps it could be expanded upon, or used as a basis for other pages covering different aspects of this topic in 2 & 3 dimensions at the same level, in compact dot notation. Carandol

 * I do not like the current Frenet-Serret page. Too much proof and no overall concept or explanation. I would like to see a page about plane and cubic curves together with the frenet serret formulas and the curve theorem. I already tried to talk a bit about the tangent, normal and binormal vectors in my page (as I think those concept are important for many people) but it does not really fit in well. The formulas to calculate those vectors simplify quite a bit in 3-dimensions. We only have to take care the notation stays compatible in some sense.MathMartin 17:23, 23 May 2004 (UTC)

 * It could do with some improvement, once we establish what it should cover, and a suitable notation. I've written a little on the same subject at Wikibooks, http://wikibooks.org/wiki/Calculus:Vectors#Tangent_and_Normal_Vectors. Those two sections do make more assumptions than appropriate for an encyclopedia, since they are in a book, and they don't cover as much as you're suggesting, because of the target for that book, but still: would that general approach be useful for this encylopedia? Carandol 18:37, 23 May 2004 (UTC)

 * I do not know :) My point is I am currently studying differential geometry so I want to write about differential geometry. I understand that most people want to do vector calculus in R^3 and do not need the Schmidt-orthogonalization algorithm to construct a Frenet frame. They only need tangent, normal and binormal vector and call this frame TNB Frame. As we are in R^3 we can simplify the equations (for example define B := T x N). When they use wikipedia to look up definition they would probably be confused by my page and even more confused by the curve page. But although I understand the need for a 2,3 dimensional differential geometry of curves page I will probably not contribute to it. So it is completely yours as far as I am concerned.

 * What I am trying to say is my differential geometry page is probably getting too big so it makes sense to split it into 2 pages. One focussing on the general theory and one on 2,3 space. It may be apropriate to use a slighly different notation on 2,3 space page. But nonetheless the pages (including the curves page) should be compatible in some sense so people can easily look up the more abstract definitions. So I would like to have a curve(topological space) <- differential geometry (Riemannian manifold) <- 2,3 Euclidean space, where the abstraction increases towards the curve page.

 * The next topic I am going to write on is surfaces in a riemannian manifold.

 * MathMartin 19:14, 23 May 2004 (UTC)

On a sidenote should the curve be denoted by
 * $$\mathbf{c}(t) \mbox{ or } \mathbf{C}(t) \mbox{ or } \mathbf{\gamma}(t)$$

I have seen all three notations in wikipedia but I think it should be uniform.

 * γ is more abstract, but C makes think of a constant. On balance I'd say γ Carandol

 * I agree, γ is best. But before we change the notation we should ask User:Tosha if he will change his notation too.

It would be nice to get the opinions of some other people too. MathMartin 14:29, 23 May 2004 (UTC)

Certainly Carandol 16:56, 23 May 2004 (UTC)

 * $${\gamma}$$ is the best, the only problem it looks bit ugly in the line (sometimes on some browsers), but hopefully in a few years with MathML everything will be nice. c would be the second choice. The page looks good, I think it is ok to move  most  of diff.geom subsection from curve, although I would leave basic definition. I think length and jordan curve should stay in curve, but it is ok if you would repeat it here. Infact I would limit this page to smooth case only, it would make it more compact, the abstract definition of length and some other things would not be needed anymore. It would make it simpler and more usefull for phisics. If you want I may try to do that, and you can alwas reverse it back.

Tosha 18:05, 24 May 2004 (UTC)

 * It makes sense to only use smooth curves on differential geometry of curves page. I think the length definition should remain (only in terms of c'(t) and not the abstract definition) even if duplicated on your page. You can remove the definition for jordan curve from my page. You can do the edits and I will check later.
 * Is there any convention for using inline symbols (like γ etc.). On my browser (Mozilla) it looks good and most math pages use lots of inline. So I think we should change to γ even if it renders badly on some browsers.
 * MathMartin 20:35, 24 May 2004 (UTC)

Ok Tosha 22:15, 24 May 2004 (UTC)

I'd just like to note that on my browser gamma prime ($$\mathbf{\gamma}'$$)is hard to distinguish from just gamma ($$\mathbf{\gamma}$$). Its just the way it gets rendered, but someone who doesnt realize it should be a differentiation might not realize it. 207.112.58.65 (talk) 18:40, 27 January 2008 (UTC)

Frenet-Serret formulas
I think this sub-section written much better than the article Frenet-Serret formulas, maybe it is better to move this there? Tosha

 * I do not know if this is a good idea. The Differential geometry of curves article is already quite long and perhaps the Frenet-Serret formulas deserves a page of its own. But the current page should be heavily edited and the two articles should be made more compatible. I think the long proof should be deleted and some examples could be added (User:Charles Matthews has already added an introduction).MathMartin 22:08, 7 Sep 2004 (UTC)

 * I just had a look at Frenet-Serret formulas article and I am not in the mood for editing it. But although the article is in bad shape I think the article should stay in a somewhat different form, like an intuitive example (explanation) of the Frenet-Serret formulas in 3 dimensions. I talked with User:Carandol about this some time ago (see thread above). So if you intend to delete most of the page drop him a short note perhaps he is interested in a rewrite.MathMartin 22:25, 7 Sep 2004 (UTC)

I agree with this (the proof should be deleted) but I would also delete whole page Frenet-Serret formulas and move the section from here to Frenet-Serret formulas. so diff geom of curves would get smaller and better and Frenet-Serret formulas will get better. I'll talk to User:Carandol Tosha

Sounds ok, I just think it is a good thing to keep the different notation in Frenet-Serret formulas article (perhaps in the form of an example for R3), so that a reader coming from engineering background or from [Wikibook Calculus] is able to get a intuitive grasp on the content. If User:Carandol is not interested in doing it, I might add the example later.MathMartin 09:16, 8 Sep 2004 (UTC)

Having derived a neat form for radius of curvature, but using only 3D space:

$$\frac {\left|\mathbf{c'}\right|^3} {\left|\mathbf{c'}\times\mathbf{c''}\right|}$$

where my $$\mathbf{c}=\mathbf{c}(t)$$ corresponds to your $$\gamma(t)$$

I was delighted to find that I could derive my formula from your definitions. Seeing that you have put a helpful example of what one of your formulae simplifies to in 3D, viz binormal vactor, may I similarly add my formula? (And I can see that using $$\gamma$$ is a good idea!) Very helpful page, thank you. I was able to catch up on the whole multi-dimensional (ie >3D) way of doing things. --Ian.patient 09:58, 23 May 2005 (UTC)

 * Hi Ian and welcome to wikipedia. Generally articles here are written by several people so no one owns a page. But in this case most of the article has been contributed by me so I think I can accept your compliment :). You are free to edit the page and one of the wikipedia maxims is to be bold in your edits so if you think you can improve the page go ahead.

 * As can be seen from the discussion above there is some need for a discussion of curves in 3 dimensional space, so you might want to consider starting a new article on this topic. Differential geometry of curves is already quite long and I think the main article should mostly deal with the general n-dimensional case. There are also Curves in differential geometry and Frenet-Serret formulas which deal with more concrete examples. MathMartin 12:25, 23 May 2005 (UTC)

Tengent Vector
You should probably start this section by stating that the tangent vector is γ‘(t) (as appears in the top of the DGoC entry), before discussing it's direction (unit vector) and length.

A circle is a curve that is perpendicular to its tangent vector? Maybe I am missing something - but when is a curve EVER perpendicular to its tangent? I think there is something screwy there, needs to be clarified.

Answer for the last question
No, If you take a strait line, it is paralel to its tangent and not perpendicular!

A circle is perpendicular to its tangent in any point on it and the differential equation it yields gives:

$$0=\langle T,\gamma \rangle\Rightarrow 0=\sum_{i=1}^nx_ix'_i\Rightarrow 0=\frac12\sum_{i=1}^n\frac{d}{ds}(x_i)^2\Rightarrow \frac {r^2}2=\frac12\sum_{i=1}^nx_i^2$$

for some $$r\in\mathbb{R}$$ hence

$$\sum_{i=1}^nx_i^2=r^2$$ which is a circle.

Niv.sarig 21:33, 5 April 2007 (UTC)
 * Note that it is not the curve that is perpendicular to its tangent (of course not), it is the vector drawn from the origin to the point where you take the tangent. I think this is what the question was about. -- josce —Preceding unsigned comment added by 152.77.24.38 (talk) 12:51, 11 December 2007 (UTC)

Length and natural parametrization
I have two problems with this section:

1. There is no definition in this article for smooth curve. Elsewhere, smooth function is defined as a function that has derivatives of all orders.

2. Surely a curve γ(t) does not have derivatives of all orders in order to be able to calculate its length. It is enough if it is once differentiable: he integral requires only γ'(t).

TomyDuby (talk) 02:06, 17 June 2008 (UTC)

 * On the first point: indeed, this article goes through the pains of defining various smoothness classes of parametrized curves, but ends up not using them other than by the way of cluttering the text (this is, however, a common problem in all treatments of the foundations of differential geometry). The word "smooth" is a jargon word that implies sufficient differentiability for the question at hand. I think that it may be best to remove the clutter and stay more intuitive throughout the article, after an explicit warning that the meaning of the term "smooth" depends on the context. As for the general definition of the arc length, note that this section refers to the main article on arc length. A parametrized curve with compact domain of the parameter is rectifiable (i.e. has a well-defined arc length) if and only if the coordinate functions have bounded variation. In the context of differential geometry, which is the scope of this article, one should stick with smooth curves (once continuously differentiable suffices in this case), and then for such curves the arc length is indeed expressible by the given integral. Arcfrk (talk) 05:29, 17 June 2008 (UTC)
 * Dear Arcfrk, Thanks for your clear explanation. I will use it for updating this section. TomyDuby (talk) 11:47, 17 June 2008 (UTC)

Main theorem of curve theory
It is written in the article: Given n functions

 * $$\chi_i \in C^{n-i}([a,b]) \mbox{, } 1 \leq i \leq n$$

with

 * $$\chi_i(t) > 0 \mbox{, } 1 \leq i \leq n-1$$

then there exists a unique (up to transformations using the Euclidean group) Cn+1-curve γ which is regular of order n and has the following properties

 * $$\|\gamma'(t)\| = 1 \mbox{ } (t \in [a,b])$$
 * $$\chi_i(t) = \frac{ \langle \mathbf{e}_i'(t), \mathbf{e}_{i+1}(t) \rangle}{\| \mathbf{\gamma}'(t) \|}$$

where the set

 * $$\mathbf{e}_1(t), \ldots, \mathbf{e}_n(t)$$

is the Frenet frame for the curve.

I am wondering: would it be possible to provide a proof or a clear reference for it? I think this is important, all the more so that this is a fundamental theorem. Also, it would be probably interesting to give a pointer to an equivalent (generalization) of the $$\chi_i(t)$$ functions and this characterization not only for curves, but for surfaces (which I do not know). Maybe the corresponding theorem can be detailed in the article about differential geometry of surfaces. 82.229.252.7 (talk) 16:13, 28 August 2011 (UTC) ambrym

Curve vs image of curve
A curve is defined as a function, and it is clarified that it is different than it's image.

But in the section "Reparametrization and equivalence relation" it says:

"Given the image of a curve one can define several different parameterizations of the curve"

the last word curve in that sentence, to which curve does it refer? it seems to refer to the image of the original curve instead.

Another problem I see is this one, suppose I define the unit circle in the usual way $$ C = \{ (x,y) \in \mathbb{R}^2 : x^2 + y^2 = 1 \} $$

Then C is a set (and thus not a curve), how does the concept of length of C relate to the length of a curve? Or the fact than one would like to call C regular because it has tangent lines, to the regular curve definition of this article. I think this relation (curve/image) should be clarified in some way. Maybe even change the definition of curve to it's image and call path to what is being called curve? (to have a name for the image)

Proposed merge from Користувач:Перевод
This translation from Ukrainian WP appears to contain significant new content, but as I'm not a mathematician I'm not best placed to help. Opinions from actual mathematicians please? OnionRing (talk) 20:06, 26 May 2016 (UTC)

 * Significant new content, really? Where? Boris Tsirelson (talk) 11:01, 27 May 2016 (UTC)
 * Section "The curvature of the curve"? I had nominated it for speedy db-a10, but then wondered if I was missing some content that could usefully be merged in. If not, then please feel free to speedy it a10 again. Thanks, OnionRing (talk) 11:21, 27 May 2016 (UTC)
 * We have curvature already, which has been forked off of this article, and includes everything that is there (and more). I have WP:PRODed the new article.   Sławomir Biały  (talk) 11:38, 27 May 2016 (UTC)

Marked for copy editing
The article was marked for copy editing based on excessive use of first-person pronouns (I). I believe this is incorrect as the usage of I is in notation and that this call for copy editing is not necessary. — Preceding unsigned comment added by Ibatts19 (talk • contribs) 16:57, 24 February 2019 (UTC)

Sections on differentiable curves in Curve
I have open a discussion in Talk:Curve, which may concern watchers of this article. D.Lazard (talk) 16:43, 1 May 2019 (UTC)

See also Talk:Curve. D.Lazard (talk) 15:33, 9 May 2019 (UTC)

Requested move 13 May 2019

 * The following is a closed discussion of a requested move. Please do not modify it. Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a move review after discussing it on the closer's talk page. No further edits should be made to this discussion.

The result of the move request was: Moved. (non-admin closure) – Ammarpad (talk) 19:33, 5 June 2019 (UTC)

Differential geometry of curves → Differentiable curve – The proposed title, which redirects already here, is a much simpler description of the expected content. Moreover, as a curve is, by definition, a geometric object, I cannot imagine anything that belongs to one title and not to the second one D.Lazard (talk) 09:46, 13 May 2019 (UTC) --Relisted. Warm Regards, ZI Jony  (Talk) 10:52, 20 May 2019 (UTC)  --Relisting. qedk (t 桜 c) 14:17, 28 May 2019 (UTC)
 * Agree. The curve is the geometry. —SmokeyJoe (talk) 13:24, 1 June 2019 (UTC)

 * The above discussion is preserved as an archive of a requested move. Please do not modify it. Subsequent comments should be made in a new section on this talk page or in a move review. No further edits should be made to this section.

title: Talk:Differentiable curve


text:
Lake St Clair (Tasmania)

Lake St Clair or leeawulenna is a natural freshwater lake located in the Central Highlands area of Tasmania, Australia. The lake forms the southern end of the Cradle Mountain-Lake St Clair National Park. It has an area of approximately 45 km2, and a maximum depth of 215 m, making it Australia's deepest lake.

The lake is fed by Narcissus River, Cuvier River, and Hamilton Creek and marks the start of the River Derwent.

The locality of Lake St Clair is in the local government areas of Central Highlands (24%), Meander Valley (12%), and West Coast (64%). The southern end of the lake is about 106 km north-west of the town of Hamilton.

Geology
Lake St Clair was formed through glacial erosion, along with the surrounding river valleys.

History
Lake St Clair is located on the edge of the Big River Tasmanian Aboriginal nation, and there is evidence that they hunted on the surrounding button grass plains. Numerous small quarries and campgrounds are located nearby, with the closest dated site putting human occupation at 10,000 years ago.

The first European explorer to see the lake was surveyor William Sharland in 1832, with George Frankland leading an expedition to it three years later. In 1840 James Calder cut a track from the lake to Macquarie Harbour, followed by another more practical track by Burgess. The Burgess track was maintained and re-cut by miners until 1883 when a new lower level route was discovered, which later became the Lyell Highway.

The area surrounding the lake was used by snarers and hunters from 1860 until the collapse of the fur trade in the 1950s, although it was illegal from 1927 onwards.

In 1937 the Derwent River was dammed just below the lake, and a pumping station installed - enabling Hydro Tasmania to drain the lake up to 6 metres and feed water to the Tarraleah Power Station. The fluctuating water levels have caused erosion and environmental degradation since. The pumphouse was decommissioned in the 1990s, and transformed into a hotel in 2015.

The Cradle Mountain-Lake St Clair area was declared a scenic reserve in 1922, a wildlife reserve in 1927, a national park in 1947 and a world heritage area from 1982.

Geography
The locality has an area of 839.4 km2, of which the lake occupies about 45 km2 in the south-east corner. The Cradle Mountain-Lake St Clair National Park occupies all of the locality, plus the locality of Cradle Mountain to the north.

Road infrastructure
The C193 route (Lake St Clair Road) enters from the south-east and runs to the southern shore of the lake, where it ends.

Tourism
In 1871, the Tasmanian Guidebook mentioned Lake St Clair as being "admired for its scenery by the few who visit". By 1900 there was a boatshed, accommodation, improved access and horse paddocks at Cynthia Bay, with the first tourists arriving by car in 1915.

From 1911 the beginnings of the Overland Track to Cradle Mountain began to form, with the route officially blazed by Bert Nichols in 1931.

A guesthouse was built at Cynthia Bay in 1930, followed by improved parking, camping and visitor facilities. The lake has been a popular tourist destination, with most tourists visiting to walk, photograph and learn about the history.

Following a decision by the Tasmanian Government to allow development in national parks and conservation areas an "in principle" permit was granted for the establishment of an "eco-friendly" resort at Pumphouse Point at Lake St Clair; completed in 2015.

title: Lake St Clair (Tasmania)


text:
Umetaro Suzuki

Umetaro Suzuki (鈴木 梅太郎) was a Japanese scientist, born in what is now part of Makinohara, Shizuoka, Japan. He was a member of the Imperial Academy, and a recipient of the Grand Cordon of the Order of the Sacred Treasure and the Order of Culture. His research was among the earliest of modern vitamin research.

Biography
Suzuki was born as the second son of a farmer in Haibara District, Shizuoka. He was a graduate of Tokyo Imperial University and subsequently worked as a research scientist at Riken. In 1901, he studied Peptide synthesis at the Humboldt University of Berlin under Emil Fischer. He returned to Japan in 1906, and accepted a post as professor of agricultural chemistry at Tokyo Imperial University in 1907.

In 1910, Suzuki succeeded in extracting a water-soluble complex of micronutrients from rice bran and named it aberic acid, and which had the effect of curing patients of beriberi. He published this discovery in a Japanese scientific journal.

When the article was translated into German, the translation failed to state that it was a newly discovered nutrient, a claim made in the original Japanese article, and hence his discovery failed to gain publicity. Polish biochemist Kazimierz Funk isolated the same complex of micronutrients and proposed the complex be named "vitamine" (from "vital amine") in 1912. In 1935, this compound was refined and correctly described as thiamine.

On April 18, 1985, the Japan Patent Office selected him as one of Ten Japanese Great Inventors.

title: Umetaro Suzuki