Posts Tagged ‘change’
Thursday, November 5th, 2009
Transpose of a Vector Explained
Description
A detailed tutorial on the transpose of a vector. Step by step tutorial including several examples of the transpose of a vector for reference.
Overview
The transpose of a vector is very similar to the transpose of a matrix, because even though the function the operation is being performed on changes, the operation itself doesn’t change. When you transpose a vector, it is just a way of saying the the column of your vector becomes a row, or the row of your vector becomes a column. Transposing vectors is not done very often, but it is still an important part of linear algebra.
Tags: algebra, angle, arrow, change, columns, flip, function, operation, ray, reflect, rows, transpose, vector
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Explanation of Leibniz Notation
Description
A detailed tutorial on Leibniz notation. Step by step tutorial including several examples of Leibniz notation for reference. Knowledge of Leibniz notation is mandatory for calculus.
Overview
Leibniz notation is a common notation in calculus that helps to identify derivaties. In Leibniz notation, the terms dx and dy are used for derivatives of x and y. This can be used with any variable. Typically this will be expressed in a fraction form, as dy / dx. This form says that you take the derivative of x in respect to y. This notation can be used for integrals as well as derivatives, although it was first developed for use with derivatives.
Tags: anti-derivative, Calculus, change, derivative, dx, dy, function, Gottfried Wilhelm Leibniz, infinitely small, integral, Leibniz, Math, notation, with respect to
Posted in Calculus | No Comments »
Thursday, October 1st, 2009
How to Solve Logarithms Using the Change-of-Base Rule
Description
A detailed tutorial on solving logarithms with the change-of-base rule. Step by step tutorial including several examples of how to solve logarithms using the change-of-base rule for reference.
Overview
The change-of-base rule is typically only used when solving logarithms with a calculator. It allows you to use a number besides the calculator presets. Tha change-of-base rule states that:
In this formula, b must not be equal to one, as the logarithm of one is simply zero. This formula also implies that all logarithms are similar to each other.
Tags: algebra, base, calculator, change, change-of-base, log, logarithm, Math, rule, similar, theorem
Posted in Algebra | No Comments »
