Mathematics

 

Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.                                                                                                                                                                                                                                                                                                                                                                                          – Richard Courant

Chika’s Test and Proof

The divisibility of a number by 7 is not as easy as the other divisibility test. In order to find it out, you need to follow a couple of recursive steps. Most importantly, there has been a divisibility test of 7 with well-defined steps. But the recent discovery by Chika Ofili about the same has been a hot topic in the headlines.

The Neglected Importance of Geometry

Today, in this fast-changing world of science and technology, geometry is playing an important role in a very hideous way that we even fail to notice it sometimes. It is surely no more confined only to mathematics. To be more precise, it has applications in our daily lives since centuries.

Diophantine Equations

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied. Diophantine problems have fewer equations than unknown variables and involve finding integers that work correctly for all equations. In more technical language, they define an algebraic curve, algebraic surface, or more general object, and ask about the lattice points on it.

How safe is your money order?

If it is the month of November now, and I ask you to tell me what month will it be 25 months from now, what would your approach be?

Of course, one method is to count all the way till the 25th month. But what we are essentially doing, is applying the division algorithm.

i.e. 25= (12*2) + 1; And we obtain the answer as December in no time.

Shape Of Cloud in OEIS – An Attempt To Formulate An Explanatory Hypothesis

You surely would have loved playing around with integer sequences in your high school days. But have you ever given some thought to that all those random sequences could actually make some statistical sense?

The Online Encyclopedia of Integer Sequences (OEIS) is a catalog of integer sequences. It was created and maintained by Neil Sloane.

Kaprekar’s Constant: 6174

In 1949 the mathematician D. R. Kaprekar from Devlali, India, devised a process now known as Kaprekar’s operation. First, choose a four digit number where the digits are not all the same. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, subtract the smallest number from the largest to get a new number, and carry on repeating the operation for each new number. It is a simple operation, but Kaprekar discovered it led to the above surprising result

Collatz Conjecture: A problem for which mathematics is not ready

The beauty of mathematics is the number of mysteries the numbers hold themselves. Numbers are something which we are aware of since our pre-schooling days, isn’t it? But, these numbers have also given many sleepless nights to many mathematicians. So, what makes these simple numbers so complex? The answer will be the properties they possess.b   

Beal’s Conjecture:  The Undefeated Champion

Daniel Andrew Andy Beal born November 29, 1952, is an American banker, businessman, investor, and amateur mathematician. He proposed his Beal’s Conjecture. This article seeks to spark debates amongst today’s youth regarding a possible solution to Beal’s Conjecture. It breaks down one of the world’s most difficult math problems into layman’s terms and forces students to question some of the most fundamental rules of mathematics.

Partition Numbers: Fractal Structure

For every natural number n, we define its partition number, p(n), as the number of ways in which we can break down n as a sum of positive integers. For example, 4 = 3+1 = 2+2 = 2+1+1 = 1+1+1+1. Since we can write the number 4 as a sum in five different ways (including the number itself), p(4) = 5.

Spaghetti Breaking Mystery

Try it out – Hold a dry spaghetti noodle on both ends and bent it. It will bend and break from the middle, not into two but three to four pieces. Well, you may think this might just be a coincidence. However, try as many times as you want but will never get only two pieces. Now, isn’t that strange? Something that’s not expected the case to be.

Tesla Mystery of 3,6 and 9.

Nikol Tesla is known for numerous mysterious experiments, but he has his own mysteries as well. One of them is his obsession with the numbers 3,6 and 9.
The mystery behind these numbers is revealed. Have a look to figure it out.

Number Mystery – Why 1.618034 so important?

Imagine if there was a perfect number, a single number so flawless it formed the basis for all art and music. A number so important that it could be used across the disciplines of mathematics and physics. And a number so profoundly purposeful that the natural world and the universe would bend to its whims.

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