Functions Why Does The Assuming Not Work As Expected Mathematica

Functions Why Does The Assuming Not Work As Expected Mathematica Assuming[assum,expr] evaluates expr with assum appended to $assumptions, so that assum is included in the default assumptions used by functions such as refine, simplify, and integrate. assuming affects the default assumptions for all functions that have an assumptions option. 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.

Functions Why Does The Assuming Not Work As Expected Mathematica Assumptions is an option for functions such as simplify, refine, and integrate that specifies default assumptions to be made about symbolic quantities. Generally, as far as i know, there is no mathematical way to tell mathematica that a variable is real. it is only possible to do this in a formal way, using patterns, and only for certain functions that have the assumptions option. $assumptions is the default setting for the assumptions option used in such functions as simplify, refine, and integrate. It uses a wide range of sophisticated algorithms to infer the consequences of assumptions — often in the process automatically proving a sequence of necessary mathematical theorems. element (∈) — specify membership in a domain (entered as elem) notelement (∉) — specify exclusion from a domain (!elem).

Functions Why Does The Assuming Not Work As Expected Mathematica $assumptions is the default setting for the assumptions option used in such functions as simplify, refine, and integrate. It uses a wide range of sophisticated algorithms to infer the consequences of assumptions — often in the process automatically proving a sequence of necessary mathematical theorems. element (∈) — specify membership in a domain (entered as elem) notelement (∉) — specify exclusion from a domain (!elem). Refine [expr, assum] gives the form of expr that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions assum. refine [expr] uses default assumptions specified by any enclosing assuming constructs. If no other information is given, mathematica assumes all variables to be complex. if you are sure that x is real and positive, you can pass that information as an assumption to simplify[] and related commands. Trying to subvert what mathematica thinks it wants to do is usually very difficult. it is possible to write custom functions to be used by leafcount but i have never had any success doing that.