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Assuming affects the default assumptions for all functions that have an Assumptions option. The assumptions can be equations, inequalities, or domain specifications, or lists or logical combinations of these. Assumptions from nested invocations of Assuming are combined.

Reals represents the domain of real numbers, as in x \[Element] Reals.

There are several ways to write any polynomial. The functions Expand, FactorTerms, and Factor give three common ways. Expand writes a polynomial as a simple sum of terms, with all products expanded out. FactorTerms pulls out common factors from each term. Factor does complete factoring, writing the polynomial as a product of terms, each of as low degree as possible.

Mathematica doesn't really do typing like that. By using Assumptions you can coerce some functions into assuming that, say, a is a Real but ...

Wolfram Community forum discussion about Assume real values of an enxpression while using Simplify or FullSimplify?. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests.

18.06.2013 · In mathematica, I'm trying to use Conjugate [] to take the complex conjugate of a function that has imaginary numbers in it, but I want to tell mathematica that the variables are real and positive, so that it can nicely combine terms into, say, x^2 instead of x*x. I've tried doing this using the Assuming [] function, but while it compiles fine ...

How to "say" in Wolfram language that e, f, y, z are reals? Because I think that Mathematica counts it for complex e, f, y, z.

Apr 27, 2017 · We are ex-NSA crypto/mathematicians working to help keep the internet secure before quantum computers render most crypto obsolete! Quantum computing is a completely different paradigm from classical computing, where weird quantum properties are combined with traditional boolean logic to create something entirely new.

but if x is assumed to be real : Refine[Re[x + I*y], Element[x, ... and if x and y are assumed to be reals : ... but if n is assumed to be an integer :

Simply evaluating Element[\[Rho], Reals] does not make it into an assumption for Simplify. You can use $Assumptions = {\[Rho] > 0 && -Pi < \[Phi] < Pi} to ...

Feb 16, 2011 · In mathematica, I'm trying to use Conjugate [] to take the complex conjugate of a function that has imaginary numbers in it, but I want to tell mathematica that the variables are real and positive, so that it can nicely combine terms into, say, x^2 instead of x*x. I've tried doing this using the Assuming [] function, but while it compiles fine ...

20.06.2016 · I know default Mathematica doesn't provide this feature. However, from this page. How to tell Mathematica that the argument of a function is real? I learned it's possible to code up a function that will make a certain pattern (? Though I don't understand his …

Wolfram Community forum discussion about Assume real values of an enxpression while using Simplify or FullSimplify?. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests.

I was trying to graph the path of a car if the driver sinusoidally oscillates the steering wheel. I thought this would be a quick computation, until mathematica ground away -- unable to plot a picture.

Less (<), Greater (>), ... — define inequalities, implicitly for real numbers ... Assuming — set up assumptions to be used by functions inside.

Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities.

Jun 21, 2016 · I know default Mathematica doesn't provide this feature. However, from this page. How to tell Mathematica that the argument of a function is real? I learned it's possible to code up a function that will make a certain pattern (? Though I don't understand his answer quite much) to assume reals.

Assuming affects the default assumptions for all functions that have an Assumptions option. The assumptions can be equations, inequalities, or domain specifications, or lists or logical combinations of these. Assumptions from nested invocations of Assuming are combined.

Assuming[assum, expr] evaluates expr with assum appended to $Assumptions, so that assum is included in the default assumptions used by functions such as ...

Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities.

PositiveReals represents the domain of strictly positive real numbers.

There's no simple way. · Re[x] ^= x · However for many functions (see $Assumptions) you can include · Assumptions -> { x \[Element] Reals } · in the list of ...