Mathematica Memos
Posted May21-12 at 04:24 PM by ChristinaJ
Tags mathematica
Some basic Mathematica info, mostly to stop myself having to continually research things that I should already know. Basic syntax to start.
(*comment*) code comments should be between (*
“string”a string is defined by quotation marks.
a is an assignment.
2*10^5 standard form (replaces the usual 2e5).
esc phi esc greek letter phi.
Sin[0] functions begin with a capital letter with their arguments in square brackets.
{x1, x2, x3} list of variables. Mathematica often uses “lists” as opposed to vectors/arrays.
ctrl ^/- super/subscript.
Now a little about lists; Mathematica likes data inputs and outputs to be in list form. A list may be defined between curly braces; {x1,x2,x3} for a row vector, and {{x1,x2},{y1,y2}} for a 2 x 2 matrix. Mathematica does not distinguish between a row vector and a 1 x n matrix, neither does it distinguish between a column vector and an n x 1 matrix and so we can define a column vector as {{x1},{x2},{x3}}.
Matrices may be constructed using lists of lists. For example, if we have two row vectors; A={a1,a2,a3} and B={b1,b2,b3} then the 2 x 3 matrix, C may be constructed, where C={A,B}.
Warning – Accidental combination of row and column vectors together will not produce an error. The error will only be made apparent when one attempts to manipulate or act upon the matrix.
(*comment*) code comments should be between (*
“string”a string is defined by quotation marks.
a is an assignment.
2*10^5 standard form (replaces the usual 2e5).
esc phi esc greek letter phi.
Sin[0] functions begin with a capital letter with their arguments in square brackets.
{x1, x2, x3} list of variables. Mathematica often uses “lists” as opposed to vectors/arrays.
ctrl ^/- super/subscript.
Now a little about lists; Mathematica likes data inputs and outputs to be in list form. A list may be defined between curly braces; {x1,x2,x3} for a row vector, and {{x1,x2},{y1,y2}} for a 2 x 2 matrix. Mathematica does not distinguish between a row vector and a 1 x n matrix, neither does it distinguish between a column vector and an n x 1 matrix and so we can define a column vector as {{x1},{x2},{x3}}.
Matrices may be constructed using lists of lists. For example, if we have two row vectors; A={a1,a2,a3} and B={b1,b2,b3} then the 2 x 3 matrix, C may be constructed, where C={A,B}.
Warning – Accidental combination of row and column vectors together will not produce an error. The error will only be made apparent when one attempts to manipulate or act upon the matrix.
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