Kedar Mhaswade kedarmhaswade

Mathematical Creation

How is mathematics made? What sort of brain is it that can compose the propositions and systems of mathematics? How do the mental processes of the geometer or algebraist compare with those of the musician, the poet, the painter, the chess player? In mathematical creation which are the key elements? Intuition? An exquisite sense of space and time? The precision of a calculating machine? A powerful memory? Formidable skill in following complex logical sequences? A supreme capacity for concentration?

The essay below, delivered in the first years of this century as a lecture before the Psychological Society in Paris, is the most celebrated of the attempts to describe what goes on in the mathematician's brain. Its author, Henri Poincaré, cousin of Raymond, the politician, was peculiarly fitted to undertake the task. One of the foremost mathematicians of all time, unrivaled as an analyst and mathematical physicist, Poincaré was known also as a brilliantly lucid expositor of the philosophy

	-तरंग 01 01 0400 01 00005942
	-धारा 01 01 0400 01 00027382
	-सारखा 01 01 0400 01 00026718
	1000000 01 01 0400 01 00031077
	10000000 01 01 0400 01 00015838
	100000000 01 01 0400 01 00031073
	11 01 01 0400 02 00026899 00026900
	14 01 01 0400 02 00005305 00026902
	150 01 01 0400 01 00030156
	17 01 01 0400 01 00013732

	package practice;

	/**
	* Simple program that generates wordlists of various lengths given certain characters.
	*/
	public class WordList {
	private static final char[] alphabet = new char[]{
	'अ',
	'आ',
	'इ',

	'अआअ',
	'अआइ',
	'अआई',
	'अआउ',
	'अआऊ',
	'अआए',
	'अआऐ',
	'अआक',
	'अआख',
	'अआग',

	Program is [here](https://github.com/kedarmhaswade/impatiently-j8/blob/master/src/main/java/practice/Pratyaahaara.java#L12).
	all count: 291

	अण्: [अ, इ, उ]
	इण्: [इ, उ]
	अक्: [अ, इ, उ, ऋ, ऌ]
	इक्: [इ, उ, ऋ, ऌ]
	उक्: [उ, ऋ, ऌ]
	अङ्: [अ, इ, उ, ऋ, ऌ, ए, ओ]
	इङ्: [इ, उ, ऋ, ऌ, ए, ओ]

	% Thanks to: https://tex.stackexchange.com/q/565173/64425
	\documentclass[a6paper]{article}
	\usepackage{geometry}
	\geometry{
	bottom=20mm,
	left=5mm,
	right=5mm,
	}

	\usepackage{polyglossia}

	Hydrogen,H,1
	Helium,He,2
	Lithium,Li,3
	Beryllium,Be,4
	Boron,B,5
	Carbon,C,6
	Nitrogen,N,7
	Oxygen,O,8
	Fluorine,F,9
	Neon,Ne,10

	class ValueIsNotVariable {
	static int get() {
	return 10;
	}
	static void inc() {
	get() += 1;
	}
	}
	/**
	➜ Java javac Assign.java

	// This is simply some pseudo code; applicable to any programming language that has support for
	// basic data types and recursive functions
	// Two questions:
	// 1- Solve the "mystery": what does the function do?
	// 2- Enhance the function to accommodate other integers.
	function mystery(int a, int b) {
	if (b == 1) {
	return a
	}
	return mystery(a, b - 1) + a

	// A naive circular buffer ...
	type CircularBuffer struct {
	buf []int
	cap, head, tail int
	}

	func (q *CircularBuffer) add(d int) error {
	if q.tail-q.head > q.cap {
	return errors.New("buffer full")
	}