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Complex numbers
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#	Item
351	On the binary expansion of the odd Catalan numbers Florian Luca Instituto de Matem´aticas Universidad Nacional Aut´onoma de M´exico C.P[removed], Morelia, Michoac´an, M´exico Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2010-02-17 14:43:11 Combinatorics Number theory Complex analysis Pi Factorial Binomial coefficient Mathematics Mathematical analysis Integer sequences
352	Mathematics Syllabus Algebra: Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric int Add to Reading List Source URL: www.sjcnorthpoint.com Language: English - Date: 2014-03-14 02:04:57 Differential calculus Trigonometry Analytic functions Functions and mappings Trigonometric functions Matrix Vector space Complex number Integral Mathematics Mathematical analysis Algebra
353	2011 U OF I FRESHMAN MATH CONTEST Solutions 1. Let x = 0.[removed][removed]be the number whose decimal expansion consists of the sequence of natural numbers written next to each other. (a) Determine the 2011th digi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-01 17:22:28 Combinatorics Number theory Mathematical series Complex analysis Binomial coefficient Factorial Pi Summation Proof that π is irrational Mathematics Mathematical analysis Integer sequences
354	UIUC UNDERGRADUATE MATH CONTEST APRIL 13, 2002, 10 am – 1 pm SOLUTIONS Problem 1 Without any numerical calculations, determine which of the two numbers eπ and π e is larger. Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2002-04-16 17:30:02 Logarithms Mathematical series Complex analysis Pi Inverse trigonometric functions Analytic number theory Mathematical fallacy Natural logarithm Series Mathematics Mathematical analysis Special functions
355	Particle Field Energy Down-Scaling Via A New Complex Fine Structure Constant Jerry E. Bayles Add to Reading List Source URL: www.electrogravity.com Language: English - Date: 2006-11-04 00:13:55 Quantum electrodynamics Dimensionless quantity Fine-structure constant Electron Mass Momentum Dimensional analysis Physics Fundamental constants Dimensionless numbers
356	Complex numbers Assignment of real and imaginary parts: a=(ar,ai) Add to Reading List Source URL: physics.bu.edu Language: English - Date: 2013-09-05 12:36:00 Procedural programming languages ALGOL 68 C++ classes Control flow C Fortran Bc programming language Fortran 95 language features High Level Assembly Computing Software engineering Computer programming
357	M344 - ADVANCED ENGINEERING MATHEMATICS Lecture 1: Mass-spring Equation, Complex Numbers In M242 you were shown how the ordinary differential equation Add to Reading List Source URL: uhaweb.hartford.edu Language: English - Date: 2010-09-01 10:35:30 Polar coordinate system Complex number Mathematical analysis Damping Geometry Differential equations Trigonometric functions Linear differential equation Ordinary differential equations Mathematics Trigonometry
358	2011 U OF I UNDERGRAD MATH CONTEST Solutions 1. Given distinct points a1 < a2 < a3 < · · · < a100 on the real line, determine, with proof, the exact set of real numbers x P100 for which the sum i=1 \|x − ai \| takes i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-03-11 18:02:38 Complex analysis Combinatorics Integer sequences Number theory Pi Factorial Summation Eisenstein series Particular values of the Gamma function Mathematics Mathematical analysis Mathematical series
359	UIUC UNDERGRADUATE MATH CONTEST APRIL 13, 2002, 10 am – 1 pm Problem 1 Without any numerical calculations, determine which of the two numbers eπ and π e is larger. Problem 2 Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2002-04-14 16:26:24 Mathematical logic Complex analysis Pi Series Mathematical proof Mathematical analysis Mathematics Mathematical series
360	Are Complex Numbers Essential to Quantum Mechanics? by Robert French Add to Reading List Source URL: www.quantumrealism.net Language: English - Date: 2014-04-16 14:27:21 Quantum field theory Schrödinger equation Observable Expectation value Quantum state Complex number Photon Introduction to quantum mechanics Wave function Physics Quantum mechanics Interpretations of quantum mechanics

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