Search results
Results from the WOW.Com Content Network
Images do not change color when part of a link. Copy-paste as text duplicates the formula's source code, copy-paste as image is not supported in many programs e.g. Word. PNG: Robust. Little overhead in a browser. Native MathML: Robust and standard-compliant. Little overhead in Firefox. Supported by screen readers.
The quadratic formula is exactly correct when performed using the idealized arithmetic of real numbers, but when approximate arithmetic is used instead, for example pen-and-paper arithmetic carried out to a fixed number of decimal places or the floating-point binary arithmetic available on computers, the limitations of the number representation ...
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.
This formula can be straightforwardly transformed into a formula for the roots of a general cubic equation, using the back-substitution described in § Depressed cubic. The formula can be proved as follows: Starting from the equation t 3 + pt + q = 0 , let us set t = u cos θ .
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
While the pasted cells are still selected in the spreadsheet, copy them again by right-clicking and choosing "Copy" from the context menu. Open a new blank spreadsheet, click in the upper-left cell, right click on it, and choose "Paste Special". In Microsoft Excel, check the "Transpose" box at the bottom of the dialogue and hit Okay.
Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!
The discriminant of a quadratic form is invariant under linear changes of variables (that is a change of basis of the vector space on which the quadratic form is defined) in the following sense: a linear change of variables is defined by a nonsingular matrix S, changes the matrix A into , and thus multiplies the discriminant by the square of ...