Mathematica Global Assumptions Real, Assuming affects the default assumptions for all functions that have an Assumptions option.

Mathematica Global Assumptions Real, Apr 5, 2022 · I would like to define globally an assumption stating that I have a nonzero real vector $v$. Your full problem, Abs ( 1-e^ {i2pi (k-x) / 1-e^ {i2pi (k-x) / N ), is missing closing braces and possibly missing parentheses in the denominator of the expression so I don't know exactly what you mean. Feb 6, 2021 · The assumption Element [t, Reals] is only used inside Refine, and so in a sense is not "known to" any evaluations outside of that expression. So the source of the issue is this global assumption? The issue is as the answer below by @xzczd below explains, is due to the pattern not matching the symbols you meant to match. Apr 22, 2013 · ComplexExpand does an expansion making the assumption that all variables and symbolic constants involved are real. Dec 2, 2014 · Just to understand a little better. Then, for every bound you know, you can add it with: etc. However, in my experience the more assumptions you have, the longer it will take to simplify. The assumptions don't "remain attached" to the symbol A. Oct 2, 2015 · After declaring pattern as real, Mathematica will automatically simplify some expressions involving sub-expressions matching said pattern. Accordingly, the following expression does not simplify In[1]:= Conjugate[r x ]//Simplify Out[1]= - Conjugate[x] Conjugate[r] Assume that variables are positive real numbers: In[2]:= AssumeReal [r,x] Out[2]= r∈ &&x∈ The expression now simplifies: In[3]:= Conjugate[r x ]//Simplify Out[3]= - x r "" Nov 3, 2014 · The discussion revolves around how to globally define variables as real in Mathematica, specifically addressing issues with assumptions and simplifications that lead to expressions being returned with complex components. The assumptions can be equations, inequalities, or domain specifications, or lists or logical combinations of these. $Assumptions is the default setting for the Assumptions option used in such functions as Simplify, Refine, and Integrate. Assumptions is an option for functions such as Simplify, Refine, and Integrate that specifies default assumptions to be made about symbolic quantities. There aren't "variables" with "types" in Mathematica in the sense that you seek. Simplify Nov 3, 2014 · The discussion revolves around how to globally define variables as real in Mathematica, specifically addressing issues with assumptions and simplifications that lead to expressions being returned with complex components. Sep 19, 2022 · I personally do not like the use of global assumptions and do not use them. So sometimes you might want to use local assumptions. Aug 7, 2019 · Furthermore, how can I implement global assumptions that hold for the entire session? I have quite a lot of Simplify [] and they all use the same variables which I want to be real and positive. me5vqck, ih9cjly, 6wu19i, 0r9w, 1hpda0, c8lm, c4gei, wm4cc7f, 1cd, uvt5xfbv,