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What’s the question, if the answer is ‘No!’

Infinitely many answers questions are possible to the answer, “No”. So, our real task should be to find one of THOSE many, which seems to be a perfect one.

A simple and the first ever logical approach of giving answers to a question is to derive answers from the question, that is, replace some words of the question with reasonable ones and make a statement. (Conversely but ) Similarly, we can try to derive the questions from the given answer.

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It has been more than three entertaining years here on MY DIGITAL NOTEBOOK and with all those experiences I gained in this time-period, I have decided to bring the best articles from the blog into a book. Once planned as a mathematics only book, “A Trip to Mathematics” is now extended and modified to be a colorful combination of mathematics, physics and other topics on which I write regularly on MDNB.  This blog-book consists over 60 articles from six different categories (math, physics, tech, education , chemistry and puzzles) and over 100 blog comments. The book is still in a draft (and hence very faulty)  and available only to my readers as an e-book (PDF) format. As a reader, you are invited to send me suggestions and error reports about the book.

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How students’ brains like to be treated during an A-level exam revision

If you’re a 16 year old student preparing for A-level exams, you must know one thing – your brain needs special treatment. We have the power to understand so many things about our memory’s structure, which is why it’s our duty to find the best training strategies for the brain and prepare it for intensive testing. The process is all about working its neuro-plasticity, compel it to stay organized and form new connections.

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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. This service is completely worth the money you’ll pay them. All you need to place a free –inquiry and choose a writer of your choice… and get your essay done. They write on almost every discipline a student or a customer need — whether it is mathematics, physics or any other science related topic –or it is about computer science, business, psychology and education — thepensters have all kind of writers. The 440+ writers on ThePensters have written over 7600 plagiarism free articles till date covering topics from pre-college academic level to research-level. The average user rating per article they finish is 3.79 out of 5 which clearly tells about their professionalism and experience.

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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 $$\displaystyle {\int_a^b} y(x) \bar{y}(x) dx <\infty$$.

$y(x)$ 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:
• $\int_{x=a}^b \int_{t=a}^b |K(x,t)|^2 dx dt <\infty$
• $\int_{t=a}^b |K(x,t)|^2 dx <\infty$
• $\int_{x=a}^b |K(x,t)|^2 dt <\infty$