Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20060330 09:06:45
Complex Number FormulasComplex Number Formulas "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20060403 00:27:18
Re: Complex Number FormulasComplex Numbers r is the modulus and θ is the argument. In exponential form, a complex number is represented as De Moivre's theorem: Character is who you are when no one is looking. #3 20060404 00:59:38
Re: Complex Number FormulasIf For every complex number z, there exists and inverse such that Division of two complex numbers: Character is who you are when no one is looking. #4 20060404 01:15:28
Re: Complex Number FormulasThe conjugate of a complex number z=a+bi is given by Some of the properties of conjugates are = = Re(z) is the Real part of x and Im(z) is the imaginary part of z. Character is who you are when no one is looking. #5 20060409 15:09:52
Re: Complex Number FormulasCube roots of unity or Properties of cube roots of unity: (1) Each of the complex roots of cube root of unity is square of the other. (2) Sum of the cube roots of unity is zero. i.e. where 1, are the cube roots of unity. Character is who you are when no one is looking. #6 20060409 15:18:49
Re: Complex Number FormulasApplications of De Moivre's Theorem in finding Roots of Complex Numbers where and where k=0,1,2,3,...(n1). This gives n distinct roots of z. Character is who you are when no one is looking. #7 20060409 16:00:54
Re: Complex Number Formulasnth roots of unity where r=0,1,2,....n1 using De Moivre's Theorem. Let The nth roots of unity are where r=0,1,2,3,4...(n1). That is, the nth roots of unity are Character is who you are when no one is looking. #8 20060409 16:05:08
Re: Complex Number FormulasProperties of arguments (3) The argument of a positive imaginary number is . (4) The argument of a negative imaginary number is or . Character is who you are when no one is looking. #9 20090318 18:28:08
Re: Complex Number FormulasDivision and Exponentiation . Character is who you are when no one is looking. #10 20090318 18:38:34
Re: Complex Number Formulasde Moivre's identity for powers of Complex Numbers of Real n Character is who you are when no one is looking. #11 20090318 18:49:32
Re: Complex Number FormulasPowers of Comples Numbers The first few are explicitly Character is who you are when no one is looking. #12 20090331 18:10:10
Re: Complex Number FormulasProperties of the magnitude: (Triangle Inequality) #13 20110810 19:43:25
Re: Complex Number Formulas(1)^(1/3) is???? Last edited by Ritu (20110810 19:44:37) #14 20110810 19:58:19
Re: Complex Number FormulasHi Ritu; Which their pages claim is the principal value. You can view it as the solutions to equation Which has roots: In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #15 20110810 20:02:29
Re: Complex Number Formulashi Ritu the question has already been answered by ganesh in post#5. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment 