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Mobile Web Applications/Ch01

Section 1. Building a Mobile Web Page
During this lesson we will be building a mobile web page using HTML5, CSS and JavaScript. These three technologies we will be used for displaying the user view of the web page. In this first example we will display the available screen size and UserAgent of the current device.

The Challenge
The challenge within this lesson is to get the web page to display correctly in each different device. This rendering for each device will be done without any special coding beyond using standard HTML5 and CSS.

A simple HTML5 page
The displayed web page follows the HTML5 syntax and keeps the same content within the web page regardless of viewing device. The assigned cascading style sheet layout is determined by new HTML5 features. The two images below show the same page displayed in two different devices. The difference between the two displays is the desktop browser has margins of 160px where the mobile device has margins of 5px.

The code
The HTML5 and JavaScript within the web page is very bare bones and only the tags necessary are included. The CSS is contained in two different files each utilized depending on which device is accessing the web page. HTML5 has features for using different style sheet depending on what size of screen is accessing the website.

What's changed with HTML5

 * 1) !DOCTYPE only requires 'html' to be entered
 * 2) tag has been extended

What's new within the HTML5

 * 1) meta tag name="viewport" allows the screen size to be set or determined. It can be set to an absolute value (ie. 600px) or the preferred device-width set by the manufacturer can be utilized. Setting the viewport is important for the subsequent application of the style sheet. Using the manufacturer preferred width can also be useful as devices often have optimum screen sizes and this also sets the screen size to remain constant in situation where the device allows zooming. Keep in mind zooming can be quite annoying (particularly when zooming out) as the screen size may grow and assign a different style sheet.
 * 2) the tag has the addition of media queries, "media="only screen and (min-width:0px) and (max-width:399px)". This addition allows a different style sheet to be assigned depending on the screen size. There are many features to media queries and it is best to review these features in resources already written. http://www.w3.org/TR/css3-mediaqueries/

pseudocode

 * 1) Rendered the web page in a similar way as previous versions of HTML.
 * 2) Set the name="viewport" meta tag to the desired screen size.
 * 3) Add the media= media queries to provide the ability to load different CCS depending on the screen size (mobile device).
 * 4) Display the screen height, width and useragent
 * 5) Alter the default margins from 160px for the default screen size (desktop browsers) to 5px for screen size < 400px (smartphones).

device.html
<!DOCTYPE html> Device Attributes

Device Attributes

 document.write(" " + screen.availHeight + " x " + screen.availWidth + " "); document.write("UserAgent: " + navigator.userAgent.toLowerCase);

default.css
body { width: auto; margin-right: 160px; margin-left: 160px; }

phone.css
body { width: auto; margin-right: 5px; margin-left: 5px; }

source code
http://books.bit.bc.ca/mwa/ch01/intro/

Summary
In this lesson we have explored the two new HTML5 features that allow a different style sheet to be assigned depending on the size of the devices screen. It is important to both set the screen size using the meta tag "name=viewport" and set the style sheet depending on the screen size. The attribute of "media=" allows for the different style sheet assignment.

Project 1: Mobile Web Page
Build your own web page and use the correct HTML5 tags to utilize different cascading style sheets depending upon which device is accessing the page. Remember the key is with using both the viewport and media queries.

Business Value
The business value is it enables the page content to remain the same regardless of device (and screen size). Over the long term this will save money and allow you to display existing content to new devices and screen sizes with very little effort.

Section 2. How cascading style sheets work
A strong understanding of Cascading Style Sheets is important when developing mobile, aesthetically pleasing and media rich web sites. Style sheets provide the ability to set and change the web sites style through global attributes. Explaining Cascading Style Sheets (CSS) is hard. They are a very important part of web development, yet as a basic concept, there isn't a good analogy to ground the concept into non-computer science language. CSS are about immediately changing the look of something without changing the underlying elements that it was created upon. One analogy that works fairly well is the idea of a skin. Changing a skin over an existing item, leaves the underlying item the same while changing the way it looks. The word skin has become the standard way of describing the assignment of different CSS to the underlying web page or web site.

The above description of assigning different CSS files to a web page or site to change its look has become common practice. Having multiple CSS files assigned depending on context is a practice used extensively with formatting web pages for different mobile devices (particularly with HTML5). CSS can also be used the other way, where there is one CSS assigned across all web pages of a web site. This single CSS file approach allows making style changes across the whole site by only altering the single CSS file. So far we have looked at two scenarios when using CSS. First, changing the CSS file based on some external factor, like a mobile device. Second, having one CSS span all HTML files within a website. Either way the CSS provides a skin or look for a web page or web site. Both approaches have their benefits, most often both scenarios are used together. Some CSS elements should be global, regardless of external factor. Where some CSS elements should change. The mobile device serves as a good context for when both approaches should be used together. There are elements that you may want to be global across all devices, like font or background colour. And other elements that should change for each device, like number of columns or the right and left margins. In this situation you could have one CSS file for global elements and CSS files for each different device type.

The Challenge
The challenge of this lesson is to organize and build a collection of Cascading Style Sheets (CSS) to accommodate for three different devices while keeping the global look or branding of the site consistent. The files should be organized in a way where branding changes will automatically cascade through-out the site and across all devices.

one global and two mobile style sheets
When building out the style sheets, one should be used as the global style sheet that defines all the global attributes of the site. Things like fonts, background color, bullet styles, etc... The other style sheets should be specific to the device where the font size may be smaller or the borders narrower. All the HTML pages should first reference the default style sheet, and changes for each device should be in subsequent style sheets. Remember tags in the style sheets are overridden. So if an attribute is defined in both the default and device style sheet the last loaded instance of the style will be the active instance. In the following code the the default.css would be loaded first and any duplicate tags found in either the desktop.css or phone.css would override the tags in the default.css.

the code
Some very basic css to serve an example. the default.css defines the width of the page as automatically sized and the font from three possible families. The desktop page would be rendered with 160px margins where the phone page would be rendered with 5px margins and a smaller image. ''Note: just resizing an image with a % may not be the best approach for mobile, as the same image is downloaded just rendered smaller. This may have an unnecessary bandwidth cost.''

default.css
body { width: auto; font-family: arial, helvetica, sans-serif; }

desktop.css
body { margin-right: 160px; margin-left: 160px; }

phone.css
body { margin-right: 5px; margin-left: 5px; }

img { height: 30%; width: 30%; }

Summary
In this section we explored how to organize css style sheets. The main point is some css tags should be global to the whole site where others tags are device specific. Organizing in this manner will ease changes to the site.

Project 2: Cascading Style Sheets
Create three different css files and link to them in an HTML page. I suggest the different css are assigned based on screen size. Change some of the attributes in the different css files. Play around, have fun...

Business Value
having well organized css files will lessen site maintenance effort and allow for global and device based style changes. In the end a well organized site save maintenance costs and allows for greater nimbleness.

Section 3. Viewing pages without mobile devices
During this module we will create an approach to viewing a mobile web page (with desired CSS formatting) without using an actual mobile device. This is important because there are three main targets for the web pages; phones, tablets and desktops. There is considerable effort in creating the HTML, CSS and JavaScript for the different devices and to have a simple way to "toggle" between the different looks from within a desktop browser will ease software development. Once a web page is in its different formats (phone, tablet, desktop), has been successfully tested within the desktop browser it can then be tested on the target devices, this should be an iterative process.

The Challenge
The challenge of this lesson is to create a simple way to "toggle" between the different style sheets to be applied for the different mobile devices. This "toggling" needs to be implemented in a way that does not impact the HTML and CSS. The files used to implement the final web site need to be left untouched so the testing approach can be easily executed across all the sites website without having to alter the files in preparation for the final release.

Swapping the style sheets (CSS)
Using the URL with some parameters is a very effective way to pass information into a web page as it is loading. The parameters put onto the URL are known as the Query String. To swap the Cascading Style Sheet (CSS) I have added a simple JavaScript to the head of the web page that looks at the parameters and swaps the CSS. The web page will also load normally without having a parameter appended to the URL. All this will be described in greater detail as we explore the actual html, css and javascript. For simplicity the main differences between the three pages is the number of columns being displayed.

page loading with desktop style sheet
http://www.bit.bc.ca/dev/device.html?device=desktop&width=1200 The parameter "device=desktop" was added to force the loading of the desktop.css.

page loading with tablet style sheet
http://www.bit.bc.ca/dev/device.html?device=tablet&width=800 The parameter "device=tablet" was added to force the loading of the tablet.css.

page loading with phone style sheet
http://www.bit.bc.ca/dev/device.html?device=phone&width=320 The parameter "device=phone" was added to force the loading of the phone.css.

thoughts on screen size
Given these three previous screen shots it becomes apparent that with mobile devices in the mix we are dealing with a screen sizes between 320 pixels (smartphones) and over 1600 pixels (desktops). And to have consistency of screen sizes across the different devices is difficult to achieve for people set their screen sizes based on their needs, this is particularly true in the tablet arena where people may set their device to be anywhere between 600 and 1400 pixels wide (and this is will increase). At the edges of screen / device size it becomes easier to make decisions about user interface design. A small screen mobile device where the interface is less than 400 pixels managing the content on the screen is more set, this is the same with larger screen sizes as the space is relatively vast. It is the medium sized screens on the different devices where the challenge presents itself. A tablet where the manufacturer designed the device for a 800 pixel wide display and the user sets it to 960 for they have really good eyesight. How should the content be displayed? In the above example if the screen was less than 400 pixels the content was displayed in a single column, if the screen was less than 800 pixels the content was displayed in two columns, and above 800 pixels three columns were displayed. So deciding on content layout is more dependent on the set screen size than the device.

The code
The HTML5 and JavaScript within the web page is very bare bones and only the tags necessary are included. The CSS is contained in three different files each utilized depending on which screen size is accessing the web page. Some new HTML5 features have been utilized to introduce these features and to better organize the web page. These will be explained later.

What's changed from the previous lesson
 Additional parameters have been utilized with the viewport meta tag. These are to set the mobile device to remain a consistent size. Devices that allow zooming can be problematic on the smaller to mid-size devices.

What's new within this lesson

 * 1) The new HTML5 tags of <header> and <section> were added to the HTML page. This organizes the content and simplifies managing the CSS assigned to different areas of the screen.
 * 2) A block of JavaScript to gather parameters from the QueryString and change the assigned style sheet and screen size.
 * 3) Styles for the different screen sizes, with a focus on creating columns in the web page.

pseudocode

 * 1) Rendered the web page in a similar way as previous versions of HTML.
 * 2) Add attributes to the name="viewport" meta tag to set the device size and not allow scaling (or zooming).
 * 3) Add the media= media queries to provide the ability to load different CCS depending on the screen size (mobile device).
 * 4) Load the querystring parameters into a key value array
 * 5) Change the assigned style sheet based on the device key value, otherwise use the style sheet assigned by media query
 * 6) Change the screens display width based on the width key value, otherwise use default values
 * 7) Display the screen height, width and useragent
 * 8) Render the web page with the correct style sheet and content width as provided in the key value array
 * 9) Within the style sheets set the desired margins, column count and formatting for the header and section tags.

device.html
<!DOCTYPE html>  Device Attributes

 // gather the http parameters from the URL and put them into a key-value pair array for temporary storage var args = new Object; var query = location.search.substring(1); var pairs = query.split("&"); for(var i = 0; i < pairs.length; i++) { var pos = pairs[i].indexOf("="); if (pos == -1) continue; var argname = pairs[i].substring(0,pos); var value = pairs[i].substring(pos+1); args[argname] = unescape(value) }	// check the array to determine the device type and screen width requested change the style sheet and width displayed to web page // if no width is specified for device type use appropriate defaults // if no parameters were specified use the defaults as set in the and tags if(args.device == "tablet") { document.write('<link rel="stylesheet" href="/css/tablet.css" type="text/css">'); if(args.width) document.write(' body {width: ' + args.width + 'px;} '); else document.write(' body {width: 768px;} '); }	else if(args.device == "phone") { document.write('<link rel="stylesheet" href="/css/phone.css" type="text/css">'); if(args.width) document.write(' body {width: ' + args.width + 'px;} '); else document.write(' body {width: 320px;} '); }	else if(args.device == "desktop") { document.write('<link rel="stylesheet" href="/css/desktop.css" type="text/css">'); if(args.width) document.write(' body {width: ' + args.width + 'px;} '); }

title: Mobile Web Applications/Ch01


license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

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title: File:Math.3.B.Hermitian.pdf


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User:Lqxz

DR.RUPAK NATH(DR.RUPNATHJI)WIKI WIKIPEDIA ENCYCLOPEDIA:-The founder of Shaddhai Yoga,Swami Rupnathji(Dr.Rupak Nath) Saraswati was one of the greatest religious leaders ever born in India.Dr.Rupak Nath(Dr.Rupnathji) is a 20th century poet,spiritual master,philosopher,Renowned Doctor & very well-known astrologer and occultist in present time, who is revered as a saint in the North-East parts of India. Infact, he is consider as one of the great and the youngest saint of Vaishnavism (a cult devoted to Lord Vishnu). Dr.Rupak Nath(Dr.Rupnathji) is one of the most talented as well as prolific spiritual leaders of India. Along with that, he is a brilliant writer, who published 70 volumes of sophisticated literary knowledge. Dr.Rupak Nath(Dr.Rupnathji) is a philosopher of the 20th century, who live in the North-Eastern parts of India.He is known, not only for his extraordinary philosophy, but also, as a noble and revered saint.He is considered as an authority on the ancient Indian scriptures, especially the sacred Yoga Creations and the Vedantas.It is difficult to pinpoint who exactly Dr.Rupak Nath(Dr.Rupnathji) is.He has so many talents in himself, that it is not easy to explain his contribution to the ‘International & World’ culture in a single sentence. Yogi Dr.Rupak Nath(Dr.Rupnathji) is the creator of the transcendental form of meditation, along with being the leader of the Transcendental Meditation Movement. One of the most renowned spiritual Gurus of India. Dr.Rupak Nath(Dr.Rupnathji) is one of the greatest religious leaders ever born in India. He believed that every individual must have only one aim in life i.e., the realization of the Ultimate Reality. Acharya Dr.Rupak Nath(Dr.Rupnathji) is one of the people who has great influence on the cultural heritage of India. He is a poet, a saint physician and a musician and played all the parts with the same finesse. Through the medium of television, he has taken the art of yoga to each and every household far and wide. He is the host of a program named 'Shiddhai Yoga' that airs on Cable TV everyday.Guru Dr.Rupak Nath(Dr.Rupnathji) belonged to the Yogi lineage of Ancient Yogacharya.He is one of the members of the tribe of Yogis who are called for the order of "NathYogi".Dr.Rupnathji(Dr.Rupak Nath) was born to the Nath Yogi couple, BehariLal and Ratna, in a little Town called Kamrup in Assam. The couple had remained childless for a long time, and prayed for children at the Kamakhaya (NilaAchal) temple in Gauhati. Siva is said to have appeared to the couple in a dream and promised them of one son who would be the most brilliant philosopher of his day, and so Rupnathji was born.His Parent performed his upanayana ceremonies with the help of her relatives. Dr.Rupnathji(Dr.Rupak Nath) excelled in all branches of traditional vaidIka learning. A few miracles are reported about the young Dr.Rupnathji(Dr.Rupak Nath).Dr.Rupak Nath(Dr.Rupnathji) was born in Assam.His father was not rich,wanted to give his children a good education.After doing his B.Sc.,Dr.Rupak Nath(Dr.Rupnathji) did his M.Sc. and Ph.D. at the Various University of the World. Dr.Rupak Nath(Dr.Rupnathji) has great regard for his research guide Professor, who told him “how to go ahead experimenting with uncommon ideas not popular or even realistic at the time.” It was his professor who advised him to shift his interest from biochemistry to molecular genetics.Dr.Rupak Nath(Dr.Rupnathji) first took up research in molecular genetics.Medical Scientist Dr.Rupak Nath(Dr.Rupnathji) became interested in biology. Popular Famous Science Book further stimulated hid interest in science. In fact, he used to plaster his parents for money to buy books.Eventually, Dr.Rupak Nath(Dr.Rupnathji) secured admission to Medical Collage and had a brilliant academic career. Dr.Rupak Nath(Dr.Rupnathji), however, says now, “I wasted a lot of time trying to come first, while I should have been reading magazines like Scientific American which contain solid science.”In 1995, on a fellowship, he went to Foreign to do his Ph.D.Where Dr.Rupak Nath(Dr.Rupnathji) conducted a marvelous experiment which surprised even his Professor. After taking his Ph.D. he retuned to India. Dr.Rupak Nath(Dr.Rupnathji) seems to enjoy every moment of research in his laboratory. “A person who is keen to take science should have a strong character and should avoid short-cuts in general,” is his advice to young people.Dr.Rupak Nath(Dr.Rupnathji) has also introduced new techniques in medical research. Dr.Rupak Nath(Dr.Rupnathji) is trying to develop a screening test to find out who are more susceptible to sickness at high altitudes. Dr.Rupak Nath(Dr.Rupnathji) is a very well-known astrologer and occultist in present time. Dr.Rupak Nath(Dr.Rupnathji) was particularly adept at interpreting the Modified Panchang Chart drawn up and used in horary astrology, as this was his specialty. Dr.Rupak Nath(Dr.Rupnathji) caused much controversy for alledgedly predicting the various events some years before it happened.Because of this many people thought that Dr.Rupak Nath(Dr.Rupnathji) in fact may have started it, but there is no evidence to support these claims. Young Dr.Rupak Nath(Dr.Rupnathji) began to dabble in astrology, reading all the books on the Subject Dr.Rupak Nath(Dr.Rupnathji) could fall in with, and occasionally trying his hand at unravelling mysteries by means of his art. Dr.Rupak Nath(Dr.Rupnathji)’s most comprehensive book was published in 1996. It was so large that it came in seven separate volumes, and it remains popular even today and has never gone totally out-of-print. It is considered one of the classic texts for the study of traditional astrology.Dr.Rupak Nath(Dr.Rupnathji) began to issue his prophetical almanacs and other works. Dr.Rupak Nath(Dr.Rupnathji) ventured to specify the future events to which he referred. Even from his own account, however, it is evident that Dr.Rupak Nath(Dr.Rupnathji) did not trust implicitly to the indications given by the aspects of the heavens, but kept his eyes and ears open for any information which might make his predictions safe. It appears that Dr.Rupak Nath(Dr.Rupnathji) had correspondents both at home and in foreign parts to keep him conversant with the probable current of affairs. On very rare occasions throughout the history of mankind, Spiritual giants have appeared to exemplify the Highest Truth, guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Those who set out upon this quest are fulfilling the true purpose of life itself. This is not an easy path to follow, but be assured that every step taken in pursuit of Self-realisation, accumulates merit that is carried from birth to birth, until that final step is accomplished. This is the testimony of the Sages and doubt should never be allowed to divert you from your course. 'The Sage of Barak Valley'Throughout the history of mankind spiritual giants have appeared on very rare occasions to exemplify the Highest Truth. Guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Drawn from His home by the power of Holy Barak at the age of sixteen, he remained at Its feet throughout the rest of His life and became known as the Sage of Barak Valley.He wrote vastly, but is known to have translated and corrected a number of important works for the benefit of devotees. He preferred to communicate through the power of overwhelming Silence, a silence so deep and powerful that it stilled the minds of ardent seekers who were attracted to Him from all over the world.Although preferring silence, He was always willing to answer the questions of sincere aspirants and never failed to guide them in the right direction.His highest teaching of 'Self-enquiry' (vichara) was understood in the infinite silence of his presence. Through this silence, countless numbers of devotees and visitors experienced the pure bliss of True Being. That same experience of perfect peace is still available to sincere souls who turn to him and practice his teachings with devotion.This act of perfect grace can be experienced anywhere, but it is especially palpable at the foot of the holy Barak Valley, a site that has attracted saints and sages for thousands of years.The Maharshi's teaching of 'Self-enquiry' (Pure Advaita) is simplicity itself, requiring no outward formalities, no outer change of life, only a simple change in 'point of view' and a sustained effort on the part of the seeker. The goal is no heaven after death or a faraway ideal, but rather the removal of the ignorance that prevents us from knowing that we are eternally One with our Source, the Supreme Self, or God. It is an experience than can be had NOW! All that is required is a sincere effort, which earns us the necessary grace.On his Holy Word Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] told his grieving devotees, "You say I am going away, but where can I go? I am always here. You give too much importance to the body." His promise of a 'continued presence' is daily being experienced by numerous devotees around the world, and it is that experience of 'continued presence' that has inspired many to devote themselves to the path of peace and love. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]Saraswati, a Guru-centred Paramahamsa Saint and a Sage of Universal and Transcendental Devine Knowledge Sri Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] Saraswati is a born Sage, Mystic and Genius. Already at the age of thirteen and fourteen his life was flooded with numerous spiritual experiences of the omnipresent and omniscient God. Under the dictates of these experiences, he left his home city in Silchar India for the Himalayas, where the world-renowned Sages recognised in him an embodiment of the high spirit of renunciation, profound divine wisdom, touching purity of heart, made him known as Yogi Rupnathji,, titled him as Atmananda Yogi-Paramahamsa and crowned him with Sannyasa-Diksha at the age of seventeen.No one knew and no one could know of the inner life of this solitude seeking and in seclusion living ascetic, wherein he nurtured under the witnessing eyes of the Divine Mother, his intimate inner relations with the Infinite and the Eternal. His intense devotion gave to that Infinite and that Eternal a visible Form, bhavana-murti, the Divine Mother. Goddess Parvati of Himalaya bestowed on him the Sri Brahma Vidya Mantra Diksha, and he was initiated into the science of Vedic Yagnas by a 105 year old Siddha Purusha, in the presence of a 700 year old Maha Yogi, who is invisible to all except to that Siddha Purusha and to Swamiji. It is a phenomenon that requires to be explained to seeking aspirants after Truth-experience. He obtained from a Yogi of Siddhis Saint Gorakshanath the secrets of higher Tantra Yoga in which there is in all the world and in all the creation only one woman, the immanent Divinity, the individual Self, seeking restlessly union with the transcendent Divinity, the Absolute Reality.In the same year in which his gurudev gave him Sannyasa-Diksha, his first book (The history of an Yogi, 1997) was published and internationally appreciated and valued. He is the author of numerous publications, and several Professors of the Universities and other prominent personalities around the world, esteem him as an intuitive philosopher,a versatile genius, a profound scholar of universal knowledge, a brilliant writer and a charismatic and inspired orator. Saints.Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)], a direct descendant of Nath Yogi, the immortal Heritage of the widely realization, was born in the district of Kamrup,Assam.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a very bright student, a genius possessing unusual intelligence, contemplative nature and an intrinsic love of mathematics and solitude. He topped the list in M.Sc. and took his MD degree in Medicine, a subject in which he was exceptionally bright.For two years, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a Professor of Medicine in the Christian Medical College, and he acted as a Reader for a short time in the Oriental College.In the year 1997, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] went to the forest and soon became a Sannyasin. He went to America and Japan and thrilled the Americans and the Japanese with his inspiring and soul-elevating speeches. In Egypt he was accorded a hearty welcome, to whom he delivered a lecture in Persian in their mosque. Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was ever cheerful and brilliant with eyes beaming with divine lustre and joy.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is perfectly at home in Persian, English, Hindi, Urdu and Sanskrit literature.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a great ascetic and an enlightened mystic. He practised Yoga on the banks of the river Ravi. Later he lived in the forests of Himalaya, on the banks of the river Ganges, five miles away from Rishikesh and attained Self-realisation.Today Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is present amongst us in his imortal body, because he is truly ever alive, eternal and imperishable, ever shining as a beacon-star in the spiritual firmament of the world. He had the highest realisation of the Sat-chid-ananda as the all-inclusive Bliss-supreme. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a highly respected philosophical writer, especially on metaphysics, psychology and sociology.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]'s books are known the world over as excellent presentations of answers to the daily questions that arise in the day-to-day confrontations of a human being. Within 16 years of age, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] had mastered all the Vedas and Shastras.Guru Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the incarnation of lord Shiva. He is the Avatar form of Lord Shiva. Yoga is supreme power which stablizes s the universe and which is itself the whole universe.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the Devine power of Lord Shiva, who himself is the whole universe.There are many meanings for the name.The combined meaning of Rupnathji becomes as such The one who protects us from the un-escapable net of moha by protecting the indriyas. When all the individual are protected from misutilizing their bodies, which develops the mind so much that we become able to know all the things in the universe, then the universe is protected as a whole. Dr.Rupnathji(Dr.Rupak Nath), the great sage was the guru of many great personalities. Dr.Rupnathji(Dr.Rupak Nath)’s penetrating mind and the depths of his spiritual perceptions earned him the title of “avatar” (incarnation of wisdom). Dr.Rupnathji(Dr.Rupak Nath) expounded the Vedanta philosophy not through bookish knowledge but through practical experience. His teachings imparted through all-absorbing ‘Silence’ embodied the highest ideals and the ultimate reaches in divine realization. Dr.Rupnathji(Dr.Rupak Nath) wrote “So many Hindi translation of the various Sanskrit Books, most important original epics of the Hindus. He is an ascetic and known for his many miracles. Dr.Rupnathji(Dr.Rupak Nath) is considered one of the most important saint of all times. Dr.Rupnathji(Dr.Rupak Nath) is one of Hinduism's most successful exponents, who traveled extensively across the world in order to spread Yoga's message of love and peace. Dr.Rupnathji(Dr.Rupak Nath) is guru to the Yogis, and introduced the World to transcendental meditation to spiritually regenerate mankind and create world peace. The various work available of the great sage-poet,The Shiddhai Yoga,has established the writer’s timeless fame.

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The founder of Shaddhai Yoga,Swami Rupnathji(Dr.Rupak Nath) Saraswati was one of the greatest religious leaders ever born in India.Dr.Rupak Nath(Dr.Rupnathji) is a 20th century poet,spiritual master,philosopher,Renowned Doctor & very well-known astrologer and occultist in present time, who is revered as a saint in the North-East parts of India. Infact, he is consider as one of the great and the youngest saint of Vaishnavism (a cult devoted to Lord Vishnu). Dr.Rupak Nath(Dr.Rupnathji) is one of the most talented as well as prolific spiritual leaders of India. Along with that, he is a brilliant writer, who published 70 volumes of sophisticated literary knowledge. Dr.Rupak Nath(Dr.Rupnathji) is a philosopher of the 20th century, who live in the North-Eastern parts of India.He is known, not only for his extraordinary philosophy, but also, as a noble and revered saint.He is considered as an authority on the ancient Indian scriptures, especially the sacred Yoga Creations and the Vedantas.It is difficult to pinpoint who exactly Dr.Rupak Nath(Dr.Rupnathji) is.He has so many talents in himself, that it is not easy to explain his contribution to the ‘International & World’ culture in a single sentence. Yogi Dr.Rupak Nath(Dr.Rupnathji) is the creator of the transcendental form of meditation, along with being the leader of the Transcendental Meditation Movement. One of the most renowned spiritual Gurus of India. Dr.Rupak Nath(Dr.Rupnathji) is one of the greatest religious leaders ever born in India. He believed that every individual must have only one aim in life i.e., the realization of the Ultimate Reality. Acharya Dr.Rupak Nath(Dr.Rupnathji) is one of the people who has great influence on the cultural heritage of India. He is a poet, a saint physician and a musician and played all the parts with the same finesse. Through the medium of television, he has taken the art of yoga to each and every household far and wide. He is the host of a program named 'Shiddhai Yoga' that airs on Cable TV everyday.Guru Dr.Rupak Nath(Dr.Rupnathji) belonged to the Yogi lineage of Ancient Yogacharya.He is one of the members of the tribe of Yogis who are called for the order of "NathYogi".Dr.Rupnathji(Dr.Rupak Nath) was born to the Nath Yogi couple, BehariLal and Ratna, in a little Town called Kamrup in Assam. The couple had remained childless for a long time, and prayed for children at the Kamakhaya (NilaAchal) temple in Gauhati. Siva is said to have appeared to the couple in a dream and promised them of one son who would be the most brilliant philosopher of his day, and so Rupnathji was born.His Parent performed his upanayana ceremonies with the help of her relatives. Dr.Rupnathji(Dr.Rupak Nath) excelled in all branches of traditional vaidIka learning. A few miracles are reported about the young Dr.Rupnathji(Dr.Rupak Nath).Dr.Rupak Nath(Dr.Rupnathji) was born in Assam.His father was not rich,wanted to give his children a good education.After doing his B.Sc.,Dr.Rupak Nath(Dr.Rupnathji) did his M.Sc. and Ph.D. at the Various University of the World. Dr.Rupak Nath(Dr.Rupnathji) has great regard for his research guide Professor, who told him “how to go ahead experimenting with uncommon ideas not popular or even realistic at the time.” It was his professor who advised him to shift his interest from biochemistry to molecular genetics.Dr.Rupak Nath(Dr.Rupnathji) first took up research in molecular genetics.Medical Scientist Dr.Rupak Nath(Dr.Rupnathji) became interested in biology. Popular Famous Science Book further stimulated hid interest in science. In fact, he used to plaster his parents for money to buy books.Eventually, Dr.Rupak Nath(Dr.Rupnathji) secured admission to Medical Collage and had a brilliant academic career. Dr.Rupak Nath(Dr.Rupnathji), however, says now, “I wasted a lot of time trying to come first, while I should have been reading magazines like Scientific American which contain solid science.”In 1995, on a fellowship, he went to Foreign to do his Ph.D.Where Dr.Rupak Nath(Dr.Rupnathji) conducted a marvelous experiment which surprised even his Professor. After taking his Ph.D. he retuned to India. Dr.Rupak Nath(Dr.Rupnathji) seems to enjoy every moment of research in his laboratory. “A person who is keen to take science should have a strong character and should avoid short-cuts in general,” is his advice to young people.Dr.Rupak Nath(Dr.Rupnathji) has also introduced new techniques in medical research. Dr.Rupak Nath(Dr.Rupnathji) is trying to develop a screening test to find out who are more susceptible to sickness at high altitudes. Dr.Rupak Nath(Dr.Rupnathji) is a very well-known astrologer and occultist in present time. Dr.Rupak Nath(Dr.Rupnathji) was particularly adept at interpreting the Modified Panchang Chart drawn up and used in horary astrology, as this was his specialty. Dr.Rupak Nath(Dr.Rupnathji) caused much controversy for alledgedly predicting the various events some years before it happened.Because of this many people thought that Dr.Rupak Nath(Dr.Rupnathji) in fact may have started it, but there is no evidence to support these claims. Young Dr.Rupak Nath(Dr.Rupnathji) began to dabble in astrology, reading all the books on the Subject Dr.Rupak Nath(Dr.Rupnathji) could fall in with, and occasionally trying his hand at unravelling mysteries by means of his art. Dr.Rupak Nath(Dr.Rupnathji)’s most comprehensive book was published in 1996. It was so large that it came in seven separate volumes, and it remains popular even today and has never gone totally out-of-print. It is considered one of the classic texts for the study of traditional astrology.Dr.Rupak Nath(Dr.Rupnathji) began to issue his prophetical almanacs and other works. Dr.Rupak Nath(Dr.Rupnathji) ventured to specify the future events to which he referred. Even from his own account, however, it is evident that Dr.Rupak Nath(Dr.Rupnathji) did not trust implicitly to the indications given by the aspects of the heavens, but kept his eyes and ears open for any information which might make his predictions safe. It appears that Dr.Rupak Nath(Dr.Rupnathji) had correspondents both at home and in foreign parts to keep him conversant with the probable current of affairs. On very rare occasions throughout the history of mankind, Spiritual giants have appeared to exemplify the Highest Truth, guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Those who set out upon this quest are fulfilling the true purpose of life itself. This is not an easy path to follow, but be assured that every step taken in pursuit of Self-realisation, accumulates merit that is carried from birth to birth, until that final step is accomplished. This is the testimony of the Sages and doubt should never be allowed to divert you from your course. 'The Sage of Barak Valley'Throughout the history of mankind spiritual giants have appeared on very rare occasions to exemplify the Highest Truth. Guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Drawn from His home by the power of Holy Barak at the age of sixteen, he remained at Its feet throughout the rest of His life and became known as the Sage of Barak Valley.He wrote vastly, but is known to have translated and corrected a number of important works for the benefit of devotees. He preferred to communicate through the power of overwhelming Silence, a silence so deep and powerful that it stilled the minds of ardent seekers who were attracted to Him from all over the world.Although preferring silence, He was always willing to answer the questions of sincere aspirants and never failed to guide them in the right direction.His highest teaching of 'Self-enquiry' (vichara) was understood in the infinite silence of his presence. Through this silence, countless numbers of devotees and visitors experienced the pure bliss of True Being. That same experience of perfect peace is still available to sincere souls who turn to him and practice his teachings with devotion.This act of perfect grace can be experienced anywhere, but it is especially palpable at the foot of the holy Barak Valley, a site that has attracted saints and sages for thousands of years.The Maharshi's teaching of 'Self-enquiry' (Pure Advaita) is simplicity itself, requiring no outward formalities, no outer change of life, only a simple change in 'point of view' and a sustained effort on the part of the seeker. The goal is no heaven after death or a faraway ideal, but rather the removal of the ignorance that prevents us from knowing that we are eternally One with our Source, the Supreme Self, or God. It is an experience than can be had NOW! All that is required is a sincere effort, which earns us the necessary grace.On his Holy Word Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] told his grieving devotees, "You say I am going away, but where can I go? I am always here. You give too much importance to the body." His promise of a 'continued presence' is daily being experienced by numerous devotees around the world, and it is that experience of 'continued presence' that has inspired many to devote themselves to the path of peace and love. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]Saraswati, a Guru-centred Paramahamsa Saint and a Sage of Universal and Transcendental Devine Knowledge Sri Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] Saraswati is a born Sage, Mystic and Genius. Already at the age of thirteen and fourteen his life was flooded with numerous spiritual experiences of the omnipresent and omniscient God. Under the dictates of these experiences, he left his home city in Silchar India for the Himalayas, where the world-renowned Sages recognised in him an embodiment of the high spirit of renunciation, profound divine wisdom, touching purity of heart, made him known as Yogi Rupnathji,, titled him as Atmananda Yogi-Paramahamsa and crowned him with Sannyasa-Diksha at the age of seventeen.No one knew and no one could know of the inner life of this solitude seeking and in seclusion living ascetic, wherein he nurtured under the witnessing eyes of the Divine Mother, his intimate inner relations with the Infinite and the Eternal. His intense devotion gave to that Infinite and that Eternal a visible Form, bhavana-murti, the Divine Mother. Goddess Parvati of Himalaya bestowed on him the Sri Brahma Vidya Mantra Diksha, and he was initiated into the science of Vedic Yagnas by a 105 year old Siddha Purusha, in the presence of a 700 year old Maha Yogi, who is invisible to all except to that Siddha Purusha and to Swamiji. It is a phenomenon that requires to be explained to seeking aspirants after Truth-experience. He obtained from a Yogi of Siddhis Saint Gorakshanath the secrets of higher Tantra Yoga in which there is in all the world and in all the creation only one woman, the immanent Divinity, the individual Self, seeking restlessly union with the transcendent Divinity, the Absolute Reality.In the same year in which his gurudev gave him Sannyasa-Diksha, his first book (The history of an Yogi, 1997) was published and internationally appreciated and valued. He is the author of numerous publications, and several Professors of the Universities and other prominent personalities around the world, esteem him as an intuitive philosopher,a versatile genius, a profound scholar of universal knowledge, a brilliant writer and a charismatic and inspired orator. Saints.Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)], a direct descendant of Nath Yogi, the immortal Heritage of the widely realization, was born in the district of Kamrup,Assam.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a very bright student, a genius possessing unusual intelligence, contemplative nature and an intrinsic love of mathematics and solitude. He topped the list in M.Sc. and took his MD degree in Medicine, a subject in which he was exceptionally bright.For two years, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a Professor of Medicine in the Christian Medical College, and he acted as a Reader for a short time in the Oriental College.In the year 1997, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] went to the forest and soon became a Sannyasin. He went to America and Japan and thrilled the Americans and the Japanese with his inspiring and soul-elevating speeches. In Egypt he was accorded a hearty welcome, to whom he delivered a lecture in Persian in their mosque. Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was ever cheerful and brilliant with eyes beaming with divine lustre and joy.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is perfectly at home in Persian, English, Hindi, Urdu and Sanskrit literature.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a great ascetic and an enlightened mystic. He practised Yoga on the banks of the river Ravi. Later he lived in the forests of Himalaya, on the banks of the river Ganges, five miles away from Rishikesh and attained Self-realisation.Today Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is present amongst us in his imortal body, because he is truly ever alive, eternal and imperishable, ever shining as a beacon-star in the spiritual firmament of the world. He had the highest realisation of the Sat-chid-ananda as the all-inclusive Bliss-supreme. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a highly respected philosophical writer, especially on metaphysics, psychology and sociology.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]'s books are known the world over as excellent presentations of answers to the daily questions that arise in the day-to-day confrontations of a human being. Within 16 years of age, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] had mastered all the Vedas and Shastras.Guru Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the incarnation of lord Shiva. He is the Avatar form of Lord Shiva. Yoga is supreme power which stablizes s the universe and which is itself the whole universe.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the Devine power of Lord Shiva, who himself is the whole universe.There are many meanings for the name.The combined meaning of Rupnathji becomes as such The one who protects us from the un-escapable net of moha by protecting the indriyas. When all the individual are protected from misutilizing their bodies, which develops the mind so much that we become able to know all the things in the universe, then the universe is protected as a whole. Dr.Rupnathji(Dr.Rupak Nath), the great sage was the guru of many great personalities. Dr.Rupnathji(Dr.Rupak Nath)’s penetrating mind and the depths of his spiritual perceptions earned him the title of “avatar” (incarnation of wisdom). Dr.Rupnathji(Dr.Rupak Nath) expounded the Vedanta philosophy not through bookish knowledge but through practical experience. His teachings imparted through all-absorbing ‘Silence’ embodied the highest ideals and the ultimate reaches in divine realization. Dr.Rupnathji(Dr.Rupak Nath) wrote “So many Hindi translation of the various Sanskrit Books, most important original epics of the Hindus. He is an ascetic and known for his many miracles. Dr.Rupnathji(Dr.Rupak Nath) is considered one of the most important saint of all times. Dr.Rupnathji(Dr.Rupak Nath) is one of Hinduism's most successful exponents, who traveled extensively across the world in order to spread Yoga's message of love and peace. Dr.Rupnathji(Dr.Rupak Nath) is guru to the Yogis, and introduced the World to transcendental meditation to spiritually regenerate mankind and create world peace. The various work available of the great sage-poet,The Shiddhai Yoga,has established the writer’s timeless fame.

DR.RUPAK NATH(DR.RUPNATHJI) WIKI WIKIPEDIA ENCYCLOPEDIA.
The founder of Shaddhai Yoga,Swami Rupnathji(Dr.Rupak Nath) Saraswati was one of the greatest religious leaders ever born in India.Dr.Rupak Nath(Dr.Rupnathji) is a 20th century poet,spiritual master,philosopher,Renowned Doctor & very well-known astrologer and occultist in present time, who is revered as a saint in the North-East parts of India. Infact, he is consider as one of the great and the youngest saint of Vaishnavism (a cult devoted to Lord Vishnu). Dr.Rupak Nath(Dr.Rupnathji) is one of the most talented as well as prolific spiritual leaders of India. Along with that, he is a brilliant writer, who published 70 volumes of sophisticated literary knowledge. Dr.Rupak Nath(Dr.Rupnathji) is a philosopher of the 20th century, who live in the North-Eastern parts of India.He is known, not only for his extraordinary philosophy, but also, as a noble and revered saint.He is considered as an authority on the ancient Indian scriptures, especially the sacred Yoga Creations and the Vedantas.It is difficult to pinpoint who exactly Dr.Rupak Nath(Dr.Rupnathji) is.He has so many talents in himself, that it is not easy to explain his contribution to the ‘International & World’ culture in a single sentence. Yogi Dr.Rupak Nath(Dr.Rupnathji) is the creator of the transcendental form of meditation, along with being the leader of the Transcendental Meditation Movement. One of the most renowned spiritual Gurus of India. Dr.Rupak Nath(Dr.Rupnathji) is one of the greatest religious leaders ever born in India. He believed that every individual must have only one aim in life i.e., the realization of the Ultimate Reality. Acharya Dr.Rupak Nath(Dr.Rupnathji) is one of the people who has great influence on the cultural heritage of India. He is a poet, a saint physician and a musician and played all the parts with the same finesse. Through the medium of television, he has taken the art of yoga to each and every household far and wide. He is the host of a program named 'Shiddhai Yoga' that airs on Cable TV everyday.Guru Dr.Rupak Nath(Dr.Rupnathji) belonged to the Yogi lineage of Ancient Yogacharya.He is one of the members of the tribe of Yogis who are called for the order of "NathYogi".Dr.Rupnathji(Dr.Rupak Nath) was born to the Nath Yogi couple, BehariLal and Ratna, in a little Town called Kamrup in Assam. The couple had remained childless for a long time, and prayed for children at the Kamakhaya (NilaAchal) temple in Gauhati. Siva is said to have appeared to the couple in a dream and promised them of one son who would be the most brilliant philosopher of his day, and so Rupnathji was born.His Parent performed his upanayana ceremonies with the help of her relatives. Dr.Rupnathji(Dr.Rupak Nath) excelled in all branches of traditional vaidIka learning. A few miracles are reported about the young Dr.Rupnathji(Dr.Rupak Nath).Dr.Rupak Nath(Dr.Rupnathji) was born in Assam.His father was not rich,wanted to give his children a good education.After doing his B.Sc.,Dr.Rupak Nath(Dr.Rupnathji) did his M.Sc. and Ph.D. at the Various University of the World. Dr.Rupak Nath(Dr.Rupnathji) has great regard for his research guide Professor, who told him “how to go ahead experimenting with uncommon ideas not popular or even realistic at the time.” It was his professor who advised him to shift his interest from biochemistry to molecular genetics.Dr.Rupak Nath(Dr.Rupnathji) first took up research in molecular genetics.Medical Scientist Dr.Rupak Nath(Dr.Rupnathji) became interested in biology. Popular Famous Science Book further stimulated hid interest in science. In fact, he used to plaster his parents for money to buy books.Eventually, Dr.Rupak Nath(Dr.Rupnathji) secured admission to Medical Collage and had a brilliant academic career. Dr.Rupak Nath(Dr.Rupnathji), however, says now, “I wasted a lot of time trying to come first, while I should have been reading magazines like Scientific American which contain solid science.”In 1995, on a fellowship, he went to Foreign to do his Ph.D.Where Dr.Rupak Nath(Dr.Rupnathji) conducted a marvelous experiment which surprised even his Professor. After taking his Ph.D. he retuned to India. Dr.Rupak Nath(Dr.Rupnathji) seems to enjoy every moment of research in his laboratory. “A person who is keen to take science should have a strong character and should avoid short-cuts in general,” is his advice to young people.Dr.Rupak Nath(Dr.Rupnathji) has also introduced new techniques in medical research. Dr.Rupak Nath(Dr.Rupnathji) is trying to develop a screening test to find out who are more susceptible to sickness at high altitudes. Dr.Rupak Nath(Dr.Rupnathji) is a very well-known astrologer and occultist in present time. Dr.Rupak Nath(Dr.Rupnathji) was particularly adept at interpreting the Modified Panchang Chart drawn up and used in horary astrology, as this was his specialty. Dr.Rupak Nath(Dr.Rupnathji) caused much controversy for alledgedly predicting the various events some years before it happened.Because of this many people thought that Dr.Rupak Nath(Dr.Rupnathji) in fact may have started it, but there is no evidence to support these claims. Young Dr.Rupak Nath(Dr.Rupnathji) began to dabble in astrology, reading all the books on the Subject Dr.Rupak Nath(Dr.Rupnathji) could fall in with, and occasionally trying his hand at unravelling mysteries by means of his art. Dr.Rupak Nath(Dr.Rupnathji)’s most comprehensive book was published in 1996. It was so large that it came in seven separate volumes, and it remains popular even today and has never gone totally out-of-print. It is considered one of the classic texts for the study of traditional astrology.Dr.Rupak Nath(Dr.Rupnathji) began to issue his prophetical almanacs and other works. Dr.Rupak Nath(Dr.Rupnathji) ventured to specify the future events to which he referred. Even from his own account, however, it is evident that Dr.Rupak Nath(Dr.Rupnathji) did not trust implicitly to the indications given by the aspects of the heavens, but kept his eyes and ears open for any information which might make his predictions safe. It appears that Dr.Rupak Nath(Dr.Rupnathji) had correspondents both at home and in foreign parts to keep him conversant with the probable current of affairs. On very rare occasions throughout the history of mankind, Spiritual giants have appeared to exemplify the Highest Truth, guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Those who set out upon this quest are fulfilling the true purpose of life itself. This is not an easy path to follow, but be assured that every step taken in pursuit of Self-realisation, accumulates merit that is carried from birth to birth, until that final step is accomplished. This is the testimony of the Sages and doubt should never be allowed to divert you from your course. 'The Sage of Barak Valley'Throughout the history of mankind spiritual giants have appeared on very rare occasions to exemplify the Highest Truth. Guiding followers by their conduct in every moment of their lives; Bhagavan Sri Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was such a giant. Unique in our time, He perfectly embodied the ultimate truth of Self-realisation, or complete absorption in the Supreme Itself.Drawn from His home by the power of Holy Barak at the age of sixteen, he remained at Its feet throughout the rest of His life and became known as the Sage of Barak Valley.He wrote vastly, but is known to have translated and corrected a number of important works for the benefit of devotees. He preferred to communicate through the power of overwhelming Silence, a silence so deep and powerful that it stilled the minds of ardent seekers who were attracted to Him from all over the world.Although preferring silence, He was always willing to answer the questions of sincere aspirants and never failed to guide them in the right direction.His highest teaching of 'Self-enquiry' (vichara) was understood in the infinite silence of his presence. Through this silence, countless numbers of devotees and visitors experienced the pure bliss of True Being. That same experience of perfect peace is still available to sincere souls who turn to him and practice his teachings with devotion.This act of perfect grace can be experienced anywhere, but it is especially palpable at the foot of the holy Barak Valley, a site that has attracted saints and sages for thousands of years.The Maharshi's teaching of 'Self-enquiry' (Pure Advaita) is simplicity itself, requiring no outward formalities, no outer change of life, only a simple change in 'point of view' and a sustained effort on the part of the seeker. The goal is no heaven after death or a faraway ideal, but rather the removal of the ignorance that prevents us from knowing that we are eternally One with our Source, the Supreme Self, or God. It is an experience than can be had NOW! All that is required is a sincere effort, which earns us the necessary grace.On his Holy Word Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] told his grieving devotees, "You say I am going away, but where can I go? I am always here. You give too much importance to the body." His promise of a 'continued presence' is daily being experienced by numerous devotees around the world, and it is that experience of 'continued presence' that has inspired many to devote themselves to the path of peace and love. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]Saraswati, a Guru-centred Paramahamsa Saint and a Sage of Universal and Transcendental Devine Knowledge Sri Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] Saraswati is a born Sage, Mystic and Genius. Already at the age of thirteen and fourteen his life was flooded with numerous spiritual experiences of the omnipresent and omniscient God. Under the dictates of these experiences, he left his home city in Silchar India for the Himalayas, where the world-renowned Sages recognised in him an embodiment of the high spirit of renunciation, profound divine wisdom, touching purity of heart, made him known as Yogi Rupnathji,, titled him as Atmananda Yogi-Paramahamsa and crowned him with Sannyasa-Diksha at the age of seventeen.No one knew and no one could know of the inner life of this solitude seeking and in seclusion living ascetic, wherein he nurtured under the witnessing eyes of the Divine Mother, his intimate inner relations with the Infinite and the Eternal. His intense devotion gave to that Infinite and that Eternal a visible Form, bhavana-murti, the Divine Mother. Goddess Parvati of Himalaya bestowed on him the Sri Brahma Vidya Mantra Diksha, and he was initiated into the science of Vedic Yagnas by a 105 year old Siddha Purusha, in the presence of a 700 year old Maha Yogi, who is invisible to all except to that Siddha Purusha and to Swamiji. It is a phenomenon that requires to be explained to seeking aspirants after Truth-experience. He obtained from a Yogi of Siddhis Saint Gorakshanath the secrets of higher Tantra Yoga in which there is in all the world and in all the creation only one woman, the immanent Divinity, the individual Self, seeking restlessly union with the transcendent Divinity, the Absolute Reality.In the same year in which his gurudev gave him Sannyasa-Diksha, his first book (The history of an Yogi, 1997) was published and internationally appreciated and valued. He is the author of numerous publications, and several Professors of the Universities and other prominent personalities around the world, esteem him as an intuitive philosopher,a versatile genius, a profound scholar of universal knowledge, a brilliant writer and a charismatic and inspired orator. Saints.Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)], a direct descendant of Nath Yogi, the immortal Heritage of the widely realization, was born in the district of Kamrup,Assam.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a very bright student, a genius possessing unusual intelligence, contemplative nature and an intrinsic love of mathematics and solitude. He topped the list in M.Sc. and took his MD degree in Medicine, a subject in which he was exceptionally bright.For two years, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was a Professor of Medicine in the Christian Medical College, and he acted as a Reader for a short time in the Oriental College.In the year 1997, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] went to the forest and soon became a Sannyasin. He went to America and Japan and thrilled the Americans and the Japanese with his inspiring and soul-elevating speeches. In Egypt he was accorded a hearty welcome, to whom he delivered a lecture in Persian in their mosque. Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] was ever cheerful and brilliant with eyes beaming with divine lustre and joy.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is perfectly at home in Persian, English, Hindi, Urdu and Sanskrit literature.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a great ascetic and an enlightened mystic. He practised Yoga on the banks of the river Ravi. Later he lived in the forests of Himalaya, on the banks of the river Ganges, five miles away from Rishikesh and attained Self-realisation.Today Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is present amongst us in his imortal body, because he is truly ever alive, eternal and imperishable, ever shining as a beacon-star in the spiritual firmament of the world. He had the highest realisation of the Sat-chid-ananda as the all-inclusive Bliss-supreme. Swami Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is a highly respected philosophical writer, especially on metaphysics, psychology and sociology.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)]'s books are known the world over as excellent presentations of answers to the daily questions that arise in the day-to-day confrontations of a human being. Within 16 years of age, Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] had mastered all the Vedas and Shastras.Guru Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the incarnation of lord Shiva. He is the Avatar form of Lord Shiva. Yoga is supreme power which stablizes s the universe and which is itself the whole universe.Rupnathji[Dr.Rupnathji(Dr.Rupak Nath)] is the Devine power of Lord Shiva, who himself is the whole universe.There are many meanings for the name.The combined meaning of Rupnathji becomes as such The one who protects us from the un-escapable net of moha by protecting the indriyas. When all the individual are protected from misutilizing their bodies, which develops the mind so much that we become able to know all the things in the universe, then the universe is protected as a whole. Dr.Rupnathji(Dr.Rupak Nath), the great sage was the guru of many great personalities. Dr.Rupnathji(Dr.Rupak Nath)’s penetrating mind and the depths of his spiritual perceptions earned him the title of “avatar” (incarnation of wisdom). Dr.Rupnathji(Dr.Rupak Nath) expounded the Vedanta philosophy not through bookish knowledge but through practical experience. His teachings imparted through all-absorbing ‘Silence’ embodied the highest ideals and the ultimate reaches in divine realization. Dr.Rupnathji(Dr.Rupak Nath) wrote “So many Hindi translation of the various Sanskrit Books, most important original epics of the Hindus. He is an ascetic and known for his many miracles. Dr.Rupnathji(Dr.Rupak Nath) is considered one of the most important saint of all times. Dr.Rupnathji(Dr.Rupak Nath) is one of Hinduism's most successful exponents, who traveled extensively across the world in order to spread Yoga's message of love and peace. Dr.Rupnathji(Dr.Rupak Nath) is guru to the Yogis, and introduced the World to transcendental meditation to spiritually regenerate mankind and create world peace. The various work available of the great sage-poet,The Shiddhai Yoga,has established the writer’s timeless fame.

title: User talk:Lqxz


text:
TAO/Meetings/2012-02-07

Online Meeting 2012-02-07 in AdobeConnect from 0900 to 1100 (UTC+1) Participants: Beat Estermann, Markus Marquard, Patrick Kenel, Simon Lüke, Daniel Reich

Discuss communication strategies for the CoP
Starting point for this section were the (technical) problems (re-)appeared, coming up with User:Erkan_Yilmaz wanting to join the group and for that reason also the meeting. E.g. connection losses,incompatibilities with Adobe Connect (problems using Adobe Connect in combination with Linux OS),

What forms should be used to hold a meeting?
 * AdobeConnect
 * big blue button
 * skype (Problem: additional software is needed)

 * regarding the technical issues Erkan had at joining the meeting:
 * Simon stays in contact with him, discussing the problems.

Communication via mailing lists:

 * Hereby, the mailing list is defined as the main ressource of communication for the time between the meetings.
 * See the subscribers of the mailing list at this link (Login at the community subscribers part):
 * http://lists.wikimedia.ch/listinfo/community

Cooperating and communication in Wikiversity, interaction dynamics

 * How to keep track of changes on the pages within the project:
 * Watchlists (per User, pull)
 * Mailing Lists
 * Syndication (RSS,...)
 * Daniel and Simon are going to experiment with this option and will inform the others about the result.
 * See: commons:User:Semaphor/Working on MediaWiki and Wikimedia projects

Enlarge the circle of participants/contributors

 * Erkan is the first one becoming a member of the Community of Practice, who is no member of the project partners.
 * Markus will take the lead for enlarging the circle. It is planned, that Meike Westerhaus will support the TAO/wikiversity from March on.

Limited resources with colleagues - Resource planning needed
Conclusion: Project in wikiversity is still in an early phase, just before more intense community interaction could start.
 * Markus is responsible for resource planning
 * Most groups (Beat reported the current situation with swiss groups) are reorganizing and planning their processes.
 * Organisational issues are still pending.
 * Invite other projects like SeniorKS and Peer.
 * Output oriented action research.

Steps we'd like to take, until the ressource problem is better

 * Enhance allready started learning and research activities.
 * Go on with this enhancing until a limit is reached, then the next steps should be considered.
 * The current situation should be explained to newcomers, so they are not frustraited. However ,at this early state of the project, involving new members is hard to manage but it's doable.

Working with and on Wikiversity

 * Discussion about the graphical design of the project at Wikiversity according to allready existing designs
 * Discussion about Simon's draft ( https://en.wikiversity.org/wiki/User:Semaphor/TAO/Draft_1 )
 * Also look at the Talk page for additional informations
 * TO DO (Simon, Daniel):
 * Combine Beat's sketch and Simon's draft. TAO-layout_startpage-beat.jpg
 * Missing content:
 * Definitions for different target groups
 * Types of Contents
 * Internationalisation (the focus lays at the moment only on the english version)
 * After personas have been found, there can be decisions made on pushing other languages than english.
 * Look for suggestions for the project site's structure and navigation (Markus, Daniel, Simon)

Measures:Development of the learning/research activities
See Excel-sheet

Overview on the feedback from the TAO-Team(CoP)

 * Documentation of the developed measures with (to do: Daniel)
 * new Prioritise the developed measures (1-3)
 * Different measurement levels (upload pictures etc.)
 * Responsibilities for the measures
 * Inform the TAO-Team (CoP) about the documentation of the developed measures via mailinglist

Next Steps/To Do
actual doodle-survey
 * next meeting: middle of march, Markus will make a doodle survey:

title: TAO/Meetings/2012-02-07


text:
User:Egm4313.spr12.team5.wallace/Lecture 1

Michael Wallace


text:
User:Failed Save

I am a cheese danish.

title: User:Failed Save


text:
User:Egm4313.s12.team8.koester/R2.9

Given:
$$ \displaystyle \lambda^{2}+4\lambda+13=0  $$

Initial Conditions:

$$ \displaystyle y(0)=1   $$    and    $$ \displaystyle  {y}'(0)=0   $$

No excitation:

$$ \displaystyle r(x)=0   $$

Solution:
Written in standard form:

$$ \displaystyle {y}''+4 {y}'+13 y=0  $$

The equation follows the characteristic equation:

$$ \displaystyle {y}''+a {y}'+b y=0  $$

Therefore:

$$ \displaystyle   a=4   $$  and  $$ \displaystyle    b=13   $$

Calculating the discriminant, we can then decide which case this problem follows.

$$ \displaystyle   a^{2}-4b =  4^{2}-4(13) = 16-52 = -36   $$

Since the discriminant is less than 0, the problem will follow Case III, complex conjugate roots.

The general solution will then take the form of:

$$ \displaystyle  y=e^{-ax/2}(Acos(wx)+Bsin(wx))  $$

Where:

$$ \displaystyle   w= \sqrt{b-\frac{1}{4}a^{2}}    $$    and    $$   \displaystyle   a=4   $$ (as previously stated)

Therefore:

$$ \displaystyle   w= \sqrt{13-\frac{1}{4}(4)^{2}} =  \sqrt{9}  = 3 $$

We can now substitute these values back into the general solution, obtaining:

$$ \displaystyle  y=e^{-2x}(Acos(3x)+Bsin(3x))  $$

We now take the general solution's derivative.

$$ \displaystyle  y(x)=e^{-2x}(Acos(3x)+Bsin(3x))  $$

$$ \displaystyle  {y}'(x)=e^{-2x}(-3Asin(3x)+3Bcos(3x))-2e^{-2x}(Acos(3x)+Bsin(3x)) $$

We can now use the given initial conditions to solve for the unknown constants A and B.

$$ \displaystyle  y(0)=1,  {y}'(0)=0   $$

$$ \displaystyle  y(0)=e^{-2(0)}(Acos(3(0))+Bsin(3(0)))=1  $$

$$ \displaystyle  {y}'(0)=e^{-2(0)}(-3Asin(3(0))+3Bcos(3(0)))-2e^{-2(0)}(Acos(3(0))+Bsin(3(0)))=0 $$

Reducing to the following system of equations:

$$ \displaystyle  A=1   $$

$$ \displaystyle  3B-2A=0 $$

Solving this system, the constants A and B can be found as:

$$ \displaystyle  A=1, B=\frac{2}{3} $$

Replacing these constants back into the equation, we can obtain the final solution:

Figures:
Graph of Solution to 2.9

Matlab code:

>> x=linspace(-3,2);

>> f= exp(-2*x).*(cos(3*x)+.666*sin(3*x))

>> plot(x,f)

>> xlabel('x')

>> ylabel('y')

Graph of 2.9, 2.6, and 2.1

a) from R2.9 (blue) $$ \displaystyle y(x)=e^{-2x}(cos(3x)+\frac{2}{3}sin(3x))   $$

b) from R2.6 (green) $$ \displaystyle y(x)=e^{-3x}+3xe^{-3x}      $$

c) from R2.1 (red) $$ \displaystyle   y(x)=\frac{5}{7}e^{-2x}+\frac{2}{7}e^{5x}     $$

Matlab code:

x = linspace(-3,2);

f = exp(-2*x).*(cos(3*x)+2/3*sin(3*x)); g = exp(-3*x) + 3 * x .* exp(-3*x); h = 5/7 * exp(-2*x) + 2/7*exp(5*x);

fl=sign(f) .* log(abs(f) + 1); gl=sign(g) .* log(abs(g) + 1); hl=sign(h) .* log(abs(h) + 1);

plot(x,f,x,g,x,h) xlabel('x') ylabel('y')

plot(x,fl,x,gl,x,hl) xlabel('x') ylabel('sign(y) * log(abs(y) + 1)')

Written by: Egm4313.s12.team8.koester 19:08, 7 February 2012 (UTC)

title: User:Egm4313.s12.team8.koester/R2.9


title: File:Egm4313.s12.team9.3-7.jpg


text:
University of Florida/Egm4313/s12 Report 2, Problem 2.6

Problem 2.6
Solved by: Andrea Vargas

Problem Statement
For the following spring-dashpot-mass system (in series) find the values for the parameters $$ k, c ,m \!$$ knowing that the system has the double real root $$ \lambda = -3 \!$$

Solution
Previously, we have derived the following equation for such a system: (From [[media:iea.s12.sec1.djvu|Sec 1 (d)]], (3) p.1-5) $$ m\left ( y_k''+\frac{k}{c}y_k' \right )+ ky_k=f(t)\!$$ We can write this equation in standard form by diving through by $$ m \!$$: $$ y_k''+\frac{k}{c}y_k'+ \frac{k}{m}y_k=\frac{f(t)}{m} \!$$ Here, we can take the coefficients of $$y_k'\!$$ and $$y_k\!$$ as $$a\!$$ and $$b\!$$:

$$ y_k''+\underbrace{\frac{k}{c}}_ay_k'+ \underbrace{\frac{k}{m}}_by_k=\frac{f(t)}{m} \!$$

Next,considering the double real root: $$ \lambda = -3 \!$$ We can find the characteristic equation to be: $$ \left ( \lambda +3 \right )^{2} = \lambda^{2}+6\lambda+9=0 \!$$ Which is in the form: $$\lambda^{2}+a\lambda+b=0\!$$ Then, we know that $$a=6\!$$ and $$b=9\!$$:

Setting $$a\!$$ and $$b\!$$ from the first equation equal to these, we obtain:

$$\frac{k}{c}=6 \; and \; \frac{k}{m}=9\!$$

Clearly, there is an infinite amount of solutions to this problem because we have 2 equations but 3 unknowns. This can be solved by fixing one of the values and finding the other two.

Example of Solution
An example of fixing one of the constants to find the other two is provided here. By solving the simple equations above, we can illustrate how to find $$ k, c ,m \!$$. We had: $$ \frac{k}{c}=6 \; and \; \frac{k}{m}=9\!$$

If we fix the mass to $$ m=10 \; kg \!$$. We find: $$\frac{k}{10}=9\!$$

$$k=90\!$$

Then, $$\frac{90}{c}=6\!$$

$$c=15\!$$

Finally, we obtain:

$$m=10, \; k=90, \; and \; c=15 \!$$ --Andrea Vargas 21:44, 7 February 2012 (UTC)


title: File:R2.6.jpg


title: File:Egm4313.s12.team9.3-9.jpg


title: File:Egm4313.s12.team9.5-6.jpg


title: File:Egm4313.s12.team9.5-4.jpg


title: File:Egm4313.s12.team9.6-6.jpg


text:
User:Egm4313.s12.team13.fsp.r2.7

Problem Statement
Develop the MacLaurin series (Taylor series at t=0) for

$$e^{t} \qquad \sin t \qquad \ cos t\ $$

To develop any MacLaurin series, it is important to follow the following formula:

$$ f(x) = f(a) + f'(a)\frac{(x-a)}{1!}^{1}\ + f(a)\frac{(x-a)}{2!}^{2} +f'(a)\frac{(x-a)}{3!}^{3}\ + \cdots f^{n}\frac{(x-a)}{n!}^{n}$$

This equation can be simplified by

$$ \sum_{n=0}^{\infty} f^{n}(a)\frac{(x-a)}{n!}^{n}$$

When writing the Maclaurin series for $$ e^{t}$$, using equation 7.0, it looks like

$$ 1 + (1)\frac{(x-0)}{1!}^{1} + (1)\frac{(x-0)}{2!}^{2} + (1)\frac{(x-0)}{3!}^{3}$$

which can be simplified to

Solution R2.7a
$$ e^{t} = 1 + \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^4}{4!}\cdots\frac{x^n}{n!} $$

Similarly, starting with the function

$$ \sin t\ $$

the MacLaurin series looks like:

$$ 1\frac{(t-0)}{1!}^{1}+ 0 \frac{(t-0)}{2!}^{2} +1\frac{(t-0)}{3!}^{3} + 0\frac{(t-0)}{4!}^{4} $$

which can be simplified into

Solution R2.7b
$$ \sin t = t - \frac{t^3}{3!} + \frac{t^5}{5!} +\cdots - \frac{t^{n-1}}{(t-1)!} + \frac{t^n}{n!} $$

Finally, starting with

$$ \cos t\ $$, the MacLaurin series looks like

$$ 1 - (0)\frac{(x-0)}{1!}^{1} - (1)\frac{(x-0)}{2!}^{2} + (0)\frac{(x-0)}{3!}^{3} + (1)\frac{(x-0)}{4!}^{4}$$

which can be simplified into

Solution R2.7c
$$ \cos t = 1 - \frac{t^2}{2!} + \frac{t^4}{4!} +\cdots - \frac{t^{n-1}}{(t-1)!} + \frac{t^n}{n!} $$

title: User:Egm4313.s12.team13.fsp.r2.7


title: File:Egm4313.s12.team9.6-5.jpg


text:
User:Egm4313.s12.team8.lucas/R2.2

=R2.2=

Problem Statement
Find and plot the solution for the L2-ODE-CC Eqn. 4 ($$\displaystyle y''-10y'+25y=r(x)$$) on p. 5-5 in the lecture notes. The initial conditions are $$\displaystyle y(0)=1$$,  $$\displaystyle y'(0)=0$$ with no excitation ($$\displaystyle r(x)=0$$)

Solution
Also because $$\displaystyle r(x)=0$$, the ODE becomes:

Which can be written as the characteristic equation:

Factoring the characteristic equation gives:

Which solves giving a double real root:

The double real root means the solution will have the form:

The first homogeneous solution is:

The second homogeneous solution for a double real root takes the form:

The final homogeneous solution is:

Applying the initial condition $$\displaystyle y(0)=1$$ to the solution gives:

The updated solution is: Differentiting the solution gives: Applying the second initial condition, $$\displaystyle y'(0)=0$$ gives:

The final solution is:

The graph above is a MATLAB plot of the solution to the ODE: $$\displaystyle y(x)=e^{5x}-5xe^{5x}$$

Contributions
Solved and typed by: Egm4313.s12.team8.lucas 04:35, 8 February 2012 (UTC)

Proofread by:

title: User:Egm4313.s12.team8.lucas/R2.2


text:
User:Egm6322.s12.team2.Xia/RP

=R 9.4 -Verify the second homogeneous solutions of Legendre equation =

Given
Given the following equations $$\displaystyle Q_{n}(x)=P_{n}(x)\tanh^{-1}x-2\sum_{j=1,3\cdots}^{J}\frac{2n-2j+1}{(2n-j+1)j}P_{n-j}(x)$$ (9.4.1) $$\displaystyle J\,:=1+2\left[\frac{n-1}{2}\right]=1+2\mathrm{Int}(\frac{n-1}{2})$$ (9.4.2)

Find
Verify the expressions for $$\displaystyle Q_{0},\, Q_{1},\, Q_{2}$$ as shown on the following equations $$\displaystyle Q_{0}(x)=\frac{1}{2}\log(\frac{1+x}{1-x})=\tanh^{-1}x$$ (9.4.3) $$\displaystyle Q_{1}(x)=\frac{x}{2}\log(\frac{1+x}{1-x})-1=x\tanh^{-1}x-1$$ (9.4.4) $$\displaystyle Q_{2}(x)=\frac{1}{2}(3x^{2}-1)\log(\frac{1+x}{1-x})-\frac{3}{2}x= ?$$ (9.4.5)

Solution
The Legendre polynomial is as follows: $$\displaystyle {P}_{n}(x)=\sum^{m}_{r=0}(-1)^r \frac{(2n-2r)!x^{n-2r}}{2^{n}r!}(n-r)!(n-2r)! $$ (9.4.6) where $$\displaystyle m = \frac{n}{2}$$. Thus $$\displaystyle {P}_{-1}(x) = 0$$

$$\displaystyle {P}_{0}(x) = 1 $$

$$\displaystyle {P}_{1}(x) = x $$

$$\displaystyle {P}_{2}(x) = \frac{1}{2}(3x^2-1) $$

$$\displaystyle $$ (9.4.6) Thus from 9.4.1 we have $$\displaystyle Q_{0}(x)=\underbrace{P_{0}(x)}_{=1}\tanh^{-1}x-2\left(\frac{-2+1}{-1+1}\right)^{\dagger}\underbrace{P_{0-1}(x)}_{=0}=\tanh^{-1}x $$ $$\displaystyle Q_{1}(x)=\underbrace{P_{1}(x)}_{=x}\tanh^{-1}x-2\frac{2-2+1}{2-1+1}\underbrace{P_{1-1}(x)}_{=1}=x\tanh^{-1}x-1$$ $$\displaystyle Q_{2}(x)=\underbrace{P_{2}(x)}_{(3x^{2}-1)/2}\tanh^{-1}x-2\sum_{j=1,3}^{3}\frac{4-2j+1}{(4-j+1)j}P_{2-j}(x)$$ $$\displaystyle =\frac{1}{2}(3x^{2}-1)\tanh^{-1}x-2\left(\frac{3}{4}\underbrace{P_{1}(x)}_{=x}+\frac{4-6+1}{(4-3+1)\cdot3}\underbrace{P_{-1}(x)}_{=0}\right)$$ $$\displaystyle =\frac{1}{2}(3x^{2}-1)\tanh^{-1}x-\frac{3}{2}x$$ $$\displaystyle \dagger $$ Although $$\displaystyle P_{-1}(0)$$, the fact that 1-1=0  makes this term meaningless. We'd better define $$\displaystyle \sum_{j=1,3\cdots}^{J}\frac{2n-2j+1}{(2n-j+1)j}=0 $$, if $$\displaystyle n=0 $$

title: User:Egm6322.s12.team2.Xia/RP


title: File:Egm4313.s12.team8.lucas.r2.2.jpeg


title: File:2.PNG


text:
User:Brianwcallaghan

I am an Engineering student at Howard Community College. My projects will be recorded here.

Project 1

 * StrandBeest
 * /myWork/
 * /CNCtutorial/

Project 2

 * Strandbeest2
 * /myWork2/
 * Leg Assembly Tutorial

Project 3

 * Strandbeest3
 * /myWork3/
 * Building the StrandBeest (with Crank Shaft)

title: User:Brianwcallaghan


text:
User:Brianwcallaghan/ENES100

THis page will contain projects from ENES 100.

title: User:Brianwcallaghan/ENES100


text:
User:Egm4313.s12.team13.fsp.r2.9

Problem Statement
With the given initial conditions, find and plot the solution to

$$ \lambda^2 + 4\lambda + 13 = 0 \!$$

The initial conditions are:

$$ y(0) = 1 \qquad y'(0) = 0 \!$$

It important to remember, there is no excitation in this problem,

$$ i.e. \qquad r(x)=0\ $$

According to Kreyszig, this solution can be found by using the quadratic to find the roots. These roots come out to be

$$ \lambda_1 = -2 + 3i \qquad \lambda_2= -2 - 3i$$

We can now write the general solution to the problem as

$$ y_h= e^{-2x} [Acos(3x) + Bsin(3x)] \!$$

it is now possible to apply the initial conditions to this solution, since we have two, it is necessary to take the derivative of the general solution.

$$ y(0) = e^0 [A\cos(0) + B\sin(0) ]= 1 \color{Red} \rightarrow A=1 $$

Using the second pair of initial conditions yields

$$y'(0) = 0 = -2 \color{Red} (1) \color{Black} e^{0} \cos(0) + 3\color{Red} C_2 \color{Black} e^{0} \ cos(0) \color{Red} \rightarrow C_2 = 2/3$$

Solution
$$ y_h= e^{-2x} [cos(3x) + \frac{2}{3}sin(3x)] \!$$

title: User:Egm4313.s12.team13.fsp.r2.9


text:
User:Egm6322.s12.team1.zheng.zx/sandbox

Test test test test

$$ \alpha \beta $$

title: User:Egm6322.s12.team1.zheng.zx/sandbox


title: File:R2superposed.jpg


text:
User talk:Spmcgovern

Small text

http://en.wikiversity.org/wiki/Robot_arm/Howard_Community_College/Fall2011/502_TFCWNS#Story

email scott forester

title: User talk:Spmcgovern


text:
User:Navid jahanpour

 * /enes100/

title: User:Navid jahanpour


text:
University of Florida/Egm4313/s12.team11.imponenti/reports

Report 1
R1.3

Report 2
R2.2

R2.9

Report 3
R3.1

R3.8

Report 4
R4.4

Report 5
R5.5

Report 6
R6.4

Report 7
R7.3


text:
File:Part1.jpg

Licensing
for school project

title: File:Part1.jpg


title: File:Egm4313.s12.team8.lucas.r2.1.png


text:
Nature

]

Nature is everywhere. Nature in a very broad stamente is everything you can see outside:
 * Trees
 * Ponds
 * Lakes
 * Rivers
 * Grass
 * Etc.

Nature is also the animals world. Now with human dominance animals are losing their homes becuase humans are destorying the nature that they are adapted to, or habitats.

Writing assignment

 * Read Mayer, F. Stephan, et al. "Why is nature beneficial? The role of connectedness to nature." Environment and behavior 41.5 (2009): 607-643.

 * It can be found at the following websites:
 * https://www.researchgate.net/publication/238428905_Why_Is_Nature_BeneficialThe_Role_of_Connectedness_to_Nature
 * If you find any other copies of this article on the internet, add it to this list (sites often get taken down.) If Wikiversity refuses to let you save the external link, use to "dewikify" the url. Be sure to first use Google to check whether the url is harmless, and don't click such a link on a computer if picking up unfriendly software might be a problem.
 * If you find any other copies of this article on the internet, add it to this list (sites often get taken down.) If Wikiversity refuses to let you save the external link, use to "dewikify" the url. Be sure to first use Google to check whether the url is harmless, and don't click such a link on a computer if picking up unfriendly software might be a problem.

 * Write a reflective essay on this subject. For ideas, you might want to visit the following Wikiversity pages:
 * Motivation and emotion/Book/2022/Green prescription motivation
 * ACR/Nature
 * Environmental psychology

To begin your essay, enter title that is not already on the List of contributions, and start your draft. If you wish to change your title, or have any other questions, visit the Colloquium.

 * List of contributions

title: Nature


text:
File:Part2.jpg

Licensing
for school project

title: File:Part2.jpg


text:
Ants

Ants are a kind of insect that are very social. They are classified in the insect order Hymenoptera, which also includes the bees and wasps. There are about 12,000 species of ant known to science.

Ants are social insects, and may form colonies that range in size from a few dozen individuals living in small natural cavities, to huge colonies of millions of individuals in highly organized colonies which may occupy large territories. Colonies consist mostly of sterile (non-breeding) wingless females.

Within most colonies, there may be several body shapes of ant forming castes, or types. The main kinds of caste are "workers", "soldiers", "drones" and "queens".

Workers are the main type of ant commonly seen. As their name suggests they do most of the work in a colony. They build or dig any structures needed. They forage for food. They take care of the colony's eggs and young. All the workers are female.

Soldiers are usually larger and may have overdeveloped jaws, which they use to defend the colony against predators or intruders. All the soldiers are female.

Drones are male ants. They only serve to mate with the queen. Only very rarely do they serve other purposes.

Queen ants are fertile females. They lay eggs, and do very little else within a colony.

Ant colonies are sometimes described as superorganisms because the ants appear to operate as a unified entity, collectively working together to support the colony. Any individual ant becomes essentially disposable within the colony. Even queens can usually be easily replaced.

title: Ants


text:
User:Egm6322.s12.team1.zheng.zx/R9

Problem 8: Generate{P2,...,P6}using RR2 and from generating function expansion
 Solved without assistance

Given
1.Recurrence relation RR2:
 * {| style="width:100%" border="0"

$$ \displaystyle (n+1)P_{n+1}-(2n+1) x P_n+nP_{n-1}=0 $$
 * style="width:95%" |
 * style="width:95%" |
 *
 * }

with:
 * {| style="width:100%" border="0"

$$ \displaystyle P_0(x)=1 $$
 * style="width:95%" |
 * style="width:95%" |
 *
 * }
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$$ \displaystyle P_1(x)=x $$
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2.Generating function for Legendre polynomials
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$$ \displaystyle \mathcal G_L(\mu,\rho)=A^{-1/2}(\mu,\rho)=(1-x)^{-1/2} $$
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$$ \displaystyle A(\mu ,\rho):=1-2\mu \rho+\rho^2=:1-x $$
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with:
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$$ \displaystyle -x:=-2\mu\rho+\rho^2 $$
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$$ \displaystyle x:=2\mu\rho-\rho^2 $$
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Find

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$$ \displaystyle {P_0,...,P_6} $$ Using both two methods
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Solution
Part I

Using RR2:
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$$ \displaystyle (n+1)P_{n+1}-(2n+1)xP_n+nP_{n-1}=0 $$
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$$ \displaystyle P_0=1, \ P_1=x $$
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n=1
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$$ \displaystyle 2P_2-3xP_1+P_0=0 $$
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$$ \displaystyle 2P_2-3x^2+1=0 $$
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$$ \displaystyle P_2=\frac{1}{2}(3x^2-1) $$
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n=2
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$$ \displaystyle 3P_3-5xP_2+2P_1=0 $$
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$$ \displaystyle 3P_3-\frac{5x}{2}(3x^2-1)+2x=0 $$
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$$ \displaystyle P_3=\frac{1}{2}(5x^3-3x) $$
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n=3
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$$ \displaystyle 4P_4-7xP_3+3P_2=0 $$
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$$ \displaystyle 4P_4-\frac{7x}{2}(5x^3-3x)+\frac{3}{2}3x^2-1=0 $$
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$$ \displaystyle P_4=\frac{1}{8}(35x^4-30x^2+3) $$
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n=4
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$$ \displaystyle 5P_5-9xP_4+4P_3=0 $$
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$$ \displaystyle 5P_5-\frac{9}{8}x(35x^4-30x^2+3)+\frac{4}{2}(5x^3-3x)=0 $$
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$$ \displaystyle P_5=\frac{1}{8}(63x^5-70x^3+15x) $$
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n=5
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$$ \displaystyle 6P_6-11xP_5+5P_4=0 $$
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$$ \displaystyle 6P_6-\frac{11}{8}x(63x^5-70x^3+15x)+\frac{5}{8}(35x^4-30x^2+3)=0 $$
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$$ \displaystyle P_6=\frac{1}{16}(231x^6-315x^4+105x^2-5) $$
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Part II

Using generating function expansion:
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$$ \displaystyle \begin{align} \mathcal G_L(\mu,\rho) &=A^{-1/2}(\mu,\rho)=(1-x)^{-1/2} \\ &=1+(-\frac{1}{2})(-x)+\frac{3}{8}(-x)^2+(-\frac{5}{16})(-x)^3+\frac{35}{128}(-x)^4... \\ &=1+\frac{1}{2}x+\frac{3}{8}x^2+\frac{5}{16}x^3+\frac{35}{128}x^4... \\ &=1+\frac{1}{2}(2\mu \rho-\rho^2)+\frac{3}{8}(4\mu^2\rho^2-4\mu \rho^3+\rho^4)+\frac{5}{16}(8\mu^3\rho^3-12\mu^2\rho^4+6\mu \rho^5-\rho^6) \\ &\ \ \ \ +\frac{35}{128}(16\mu^4\rho^4-32\mu^3\rho^5+24\mu^2\rho^6-6\mu \rho) \\ &=1+\mu \rho \\ &\ \ \ \ +\frac{1}{2}(3\mu^2-1)\rho^2 \\ &\ \ \ \ +\frac{1}{2}(5\mu^3-3\mu)\rho^3 \\ &\ \ \ \ +\frac{1}{8}(35\mu^4-30\mu^2+3)\rho^4 \\ &\ \ \ \ +\frac{1}{8}(63\mu^5-70\mu^3+15\mu)\rho^5 \\ &\ \ \ \ +\frac{1}{16}(231\mu^6-315\mu^4+105\mu^2-5)\rho^6 \end{align} $$
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So:
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$$ \displaystyle \begin{align} P_0 &= 1\\ P_1 &= \mu \\ P_2 &= \frac{1}{2}(3\mu^2-1) \\ P_3 &= \frac{1}{2}(5\mu^3-3\mu) \\ P_4 &= \frac{1}{8}(35\mu^4-30\mu^2+3) \\ P_5 &= \frac{1}{8}(63\mu^5-70\mu^3+15\mu) \\ P_6 &= \frac{1}{16}(231\mu^6-315\mu^4+105\mu^2-5) \end{align} $$
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Comparing the two series of results, we can find whatever which method we use, the Legendre polynomials we get are exactly same.(Replace variable $$\mu$$ with x )

title: User:Egm6322.s12.team1.zheng.zx/R9


title: File:Pea2.s12.sec44.b.djvu