ThePensters – Get your essay done!

Needed help in preparing a research paper or wanted to complete your college-related projects and essays? Just access the online article writing service, thepensters –select a desirable writer based on the consumer ratings and feedbacks and get your work done. Having been in the market for only more than a year. ThePensters.com has gained wide popularity among students all over the world. Their custom writing service provides the highly professional writing experts who are ready to share their knowledge and use their writing expertise to assist you.…

22_pixy

Solving Integral Equations (2) – Square Integrable Functions, Norms, Trial Method

Square Integrable function or quadratically integrable function $\mathfrak{L}_2$ function A function $y(x)$ is said to be square integrable or $\mathfrak{L}_2$ function on the interval $(a,b)$ if $$\displaystyle {\int_a^b} {|y(x)|}^2 dx <\infty$$ or $$\displaystyle {\int_a^b} y(x) \bar{y}(x) dx <\infty$$. For further reading, I suggest this Wikipedia page. $y(x)$ is then also called 'regular function'. The kernel $K(x,t)$ , a function of two variables is an $\mathfrak{L_2}$ - function if atleast one of the following is true: $\int_{x=a}^b \int_{t=a}^b |K(x,t)|^2 dx dt <\infty$ $\int_{t=a}^b |K(x,t)|^2 dx…

Dangerous Rail

10 Most Dangerous Railroads in the World

It is so fun and enjoyable to travel through rail routes. Most of the people love to travel through rails instead of preferring to travel through the car. Travelling through rail is a good experience along with watching the beauty of nature and different sceneries when you travel long distances. Many of the people believe that it is safe to travel on rail routes, but sometimes train needs to pass most dangerous railroads along their journey. These railroads make some…

Advanced Writers- Research Write up’s

When professionalism matters, the first name which enters the mind of people for their write-up's are none other than Advanced Writers. They have been in the services of custom writing since 5 years due to which they have earned recognition and fame across the world for their services. The process of their seeking help is quite simple and easy. Some steps which you require to follow are – You should submit the details of your paperwork which you require them…

Integral Equation

Solving Integral Equations – (1) Definitions and Types

If you have finished your course in Calculus and Differential Equations, you should head to your next milestone: the Integral Equations. This marathon series (planned to be of 6 or 8 parts) is dedicated to interactive learning of integral equations for the beginners —starting with just definitions and demos —and the pros— taking it to the heights of problem solving. Comments and feedback are invited. Also read: Part- II Square Integrable Functions, Norms, Trial Method Part- III Changing Differential Equations…

Btech

5 hot reasons as to why engineering can be chosen as the best career choice

Why should I choose engineering? Why not any other career option? How far I will go with this choice? Did you also find yourself stacked with such and other similar questions? Well, this is not a problem with you only rather every other student is thinking over it and looking for the satisfying answers. If you ask any expert of the field, you will get some diplomatic type of answers as it’s a rewarding career with a good income. Do…

08 – 09-10 Of 11-12-13

11-12-13 – Last such sequence of the century

11th December 2013 (or in short 11-12-13) is just a few hours away here. It's the last date of the 21st century with  such an extraordinary pattern of numbers.  In any calendar of the world, such date will be seen in 22nd century after 87 years and 54 days from today -- on February 3, 2101, if all kind of date setup permutations $ are used -- first of which being the usual day-month-year , second  month-day-year format and the third being…

Google PageRank Update

Google PageRank Updated – We became better

Google PageRank (PR), the most popular base 10 website popularity algorithm, has received an unexpected update on this December 6 --exactly 10 months and 2 days after the last update was released. My blog has regained its PR4 rating, which was gone to PR1 after I upgraded the site-domain from subdomain wpgaurav.wordpress.com to gauravtiwari.org in November 2011. In last PR Update (February 4, 2013) the Page Rank was 3. Here is how the Google Page Rank of my blog varied : Date of…