Another simple review of the vector dot product, for those of you that have forgotten. The operation that involves multiplying two vectors together can be done in a few ways. The first operation is called either the scalar product or the dot product. One of the well known definitions looks like this: RULE 1: This [...]
Tags: dot product, dot product angle, find dot product, vector angle, vector dot product, vectors
This is a very simple post and a very simple subject, but every once in a while even the experts need to be reminded how to do simple addition and subtraction with vectors. Let’s go ahead and specify a couple vectors that we can work with. Vector In MATLAB: >>A = [1 2 4]; Vector [...]
Tags: adding vectors, subtracting vectors, vectors
The Laplace Transform is a method that simplifies integral and differential equations into algebraic equations. This practice is commonly used to solve for a function out of a differential equation, which otherwise may have been unsolvable or very difficult. The following integrals can be used to transform between where denotes Laplace and denotes Inverse Laplace: [...]
Tags: laplace, laplace method, laplace table, laplace transform, laplace transform examples, laplace transforms, table of laplace transforms
Posted by Jeff on Aug 31, 2009 in
Calculus,
MATLAB
This is how you calculate the volume of an ellipsoid with the following equation. rmax = 1; V = 0; step = 0.02; A = 5; B = 10; C = 15; for x= -5 : step : 5 for y = -10 : step : 10 for z = -15 : step : 15 [...]
Tags: Elipsoid, Ellipsoid, Ellipsoid Volume, Volume of Ellipsoid
Posted by Jeff on Jul 29, 2009 in
Calculus,
Math
One of the most important calculus concepts to learn is derivation. Here I will show you how to calculate some simple derivatives. The derivative looks like this and can be read as “derivative with respect to x” so if you have a function and you are supposed to perform then you are going to be [...]
Tags: derivative, derivatives