Category: Mathematics

3 Interesting 3-digit Numbers

Some numbers have really curious properties! Below are 3 such 3-digit numbers. 196-Algorithm A palindromic number is a number (in some base b) that is the same when written forwards or backwards. Like 16461, for example, it is “symmetrical”. The term palindromic is derived from palindrome, which refers to a word (such as rotor or

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Counting and the Mind

Here is an interesting fact taken verbatim from the book “A Passion for Mathematics” by Clifford A Pickover. Question I quickly toss a number of marbles onto a pillow. You may stare at them for an instant to determine how many marbles are on the pillow. Obviously, if I were to toss just two marbles,

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Some Mathematical GIFs

Here are some GIFs I have collected over internet that explain mathematical ideas. The following GIF explain what is meant by tangent/parallel lines and asymptotes. The following GIF explains how to construct a regular heptagon using straight edge and compass. The following 2 GIFs explain what an ellipse is and how to draw it. The

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Spherical Trigonometry and Navigational Calculations

Introduction Navigation is the process of planning, recording, and controlling the movement of a craft or vehicle from one location to another. The word derives from the Latin roots navis (“ship”) and agere (“to move or direct”). To achieve these goals in a general way, a coordinate system is needed that allow quantitative calculations. The

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From Ramanujan

This is a collection of formulas discovered by the Indian Mathematician Srinivasa Ramanujan (1887-1920) that appears in the book “A Passion for Mathematics” by Clifford A Pickover. Here, the infinite product symbolized by , steps through every prime number. Note that the term in parentheses can be reduced to , where is the golden ratio.

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The Struggle for Riemann Hypothesis

David Hilbert in in his 1900 address to the Paris International Congress of Mathematicians, listed the Riemann Hypothesis as one of his 23 problems for mathematicians of the twentieth century to work on. Bernhard Riemann was a German mathematician who made important contributions to geometry, number theory, topology, mathematical physics and the theory of complex

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Srinivasa Ramanujan and Taxicab Numbers

Srinivasa Ramanujan (1887 – 1920) was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. He was born in Erode, a small town in Tamil Nadu state, India in a poor Tamil Brahmin family. He was a self-taught mathematician with an uncanny ability to manipulate formulae. Suffering

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Mathematical Butterflies

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point and an angle from a fixed direction. The following three formulas in terms of polar coordinates produce butterfly like curves. The following MATLAB script produces these three beautiful curves.