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The option TargetFunctions can be given as a list of functions from the set {Re, Im, Abs, Arg, Conjugate, Sign}. ComplexExpand will try to give results in terms of functions specified. ComplexExpand automatically threads over lists in expr, as well as equations, inequalities and logic functions. I hope I am not fooling myself, but why does Mathematica not evaluate the following expression to zero: Conjugate[a] Conjugate[b] - Conjugate[a b] Even if I explicitly specify that a and b are complex, the expression is not evaluated: Simplify[Conjugate[a] Conjugate[b] - Conjugate[a b], Assumptions -> {a, b} \[Element] Complexes] $\begingroup$ No, my question was not that. I have asked whether replacing i by -i 'everywhere', which does not mean only zbar. The function f may have 'i's at some other places as well. $\endgroup$ – Sai Krishna Garlapati Sep 26 '20 at 16:29 FullSimplify fails to recognize that: a*Conjugate[b] + b*Conjugate[a] = 2 Re[a*b] I have some very complex equations that could be simplified greatly if Mathematica could recognize this sim... Examples of Use. The conjugate can be very useful because.. when we multiply something by its conjugate we get squares like this:. How does that help? It can help us move a square root from the bottom of a fraction (the denominator) to the top, or vice versa.Read Rationalizing the Denominator to find out more: does not, even on simple example: 2 I /.{I -> -I} 2 I the reason being that symbol I is automatically translated by Mathematica to. Complex[0, 1] and rule above is interpreted by Mathematica as . Complex[0, 1] -> Complex[0, -1] Series A. I. Mathematica's 46 research works with 230 citations and 468 reads, including: Wandering Domains In The Iteration Of Compositions Of Entire Functions It's true that Conjugate can be annoying, but it's understandable that you're having difficulty removing it in an automated way. The culprit are the square roots, which are actually harmless but aren't recognized by Mathematica to be harmless.. So if you don't want to manually remove Conjugate but also don't want to waste time rewriting the expression to rearrange the square roots (which may Conjugate does not always propagate into arguments: Differentiating Conjugate is not possible: The limit that defines the derivative is direction dependent and therefore does not exist: why does (zconjugatew)conjugate = 2Re(z*conjugate of w) Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
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MIT grad shows how to find the vertical asymptotes of a rational function and what they look like on a graph. To skip ahead: 1) For the STEPS TO FIND THE VER... Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Buy my book!: '1001 Calcul... For early access to new videos and other perks: https://www.patreon.com/welchlabsWant to learn more or teach this series? Check out the Imaginary Numbers are... The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more. Fasthosts Techie Test competition is now closed! Learn more a... This math video tutorial explains how to simplify square roots.My Website: https://www.video-tutor.netPatreon: https://www.patreon.com/MathScienceTutorAmaz... This calculus video tutorial explains how to find the limit at infinity. It covers polynomial functions and rational functions. The limit approaches zero i... Brief explanation of equilibrium equations and how to determine if a structure is statically determinate, indeterminate, or unstable. Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding the Limit of a Seq... This calculus video tutorial provides a basic introduction into l'hopital's rule. It explains how to use l'hopitals rule to evaluate limits with trig functi... Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.
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