PowerMod[a, b, m] gives a^b mod m. PowerMod[a, -1, m] finds the modular inverse of a modulo m.PowerMod[a, 1/r, m] finds a modular r\[Null]^th root of a.
ButcherPlotRootSize is an option to ButcherPlot that specifies a scaling factor for the circle highlighting the root.
When searching for a real simple root of a real valued function, it is possible to take advantage of the special geometry of the problem, where the function crosses the axis ...
You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...
x >= y or x >= y yields True if x is determined to be greater than or equal to y. x_1 >= x_2 >= x_3 yields True if the x_i form a non-increasing sequence.
Greater
(Built-in Mathematica Symbol) x > y yields True if x is determined to be greater than y. x_1 > x_2 > x_3 yields True if the x_i form a strictly decreasing sequence.
x <= y or x <= y yields True if x is determined to be less than or equal to y. x_1 <= x_2 <= x_3 yields True if the x TraditionalForm\`i form a nondecreasing sequence.
Less
(Built-in Mathematica Symbol) x < y yields True if x is determined to be less than y. x_1 < x_2 < x_3 yields True if the x_i form a strictly increasing sequence.
You can import XML data into Mathematica using the standard Import function, which has the following syntax. Importing files. The first argument specifies the file to be ...
WidgetToSymbolicGUIKitXML[expr] converts a user interface expression to a GUIKitXML SymbolicXML expression.