At present there are two ways to obtain a histogram. You can type a list in a cell ListPlot([1,2,2,2,3,4,4,4,5,7], type=bar) Or to list the values and their frequencies, the first list is a list of values and the second list … Continue reading →
I first encountered the Bernoulli numbers in a combinatorics class, and they came up later in asymptotic analysis in the Euler-Maclaurin Formula. There are also Bernoulli polynomials as well. To compute the Bernoulli number, usually denoted by in mathematics, in … Continue reading →
The MathStudio command Char(string) will return a list of ASCII numbers corresponding to each character in the string. For example, Char(M) = Char(MathStudio) =
Originally we had posted that MathStudio would be coming soon to the Amazon Appstore which would include the Kindle Fire. After reviewing the terms and conditions of the Amazon Appstore more thoroughly we have decided to postpone this decision. Specifically their distribution … Continue reading →
The dot and cross products have geometric interpretations that we will not explore here, but computationally they are easily described. For two vectors , , the dot product is a mapping , defined by the formula dot(a,b) = . The … Continue reading →
The functions AiryAi(z) and AiryBi(z) denote the two independent solutions to the differential equation . A more “explicit” form for real values is , . These two functions are related to Bessel functions, but we will not go into that … Continue reading →
In MathStudio, there are a few key functions for working with complex numbers. First, to obtain the imaginary number , one can either use , click the “i” symbol on the button pad (you have to click the box with … Continue reading →
In MathStudio there is an easy way to define functions so that they can be used repeatedly in future calculations. Simply write out the function you wish to work with just as you would on a piece of paper using … Continue reading →
There is a subtle difference in mathematics between solving and asking for the root of , typically denoted . The problem with the above paragraph is that we haven’t specified the allowable values of , and without any context could … Continue reading →
In MathStudio, these functions are known as Limit, D, and Integrate. Here are some examples. Limit(1/x,x,1) Limit((x^2-9)/(x-3),x,3) Limit(1/x,x,1,1) Limit(atan(x),x,Infinity) D(x^2) D((x+1)^2/(x-1)^2,x) D(x^4,x,3) D(sin(x),x,2) D(log(x)) D(sin(t^2*x),t) D(x*sin(y)+y*cos(x),x) Integrate(x^2+6,x) Integrate(sin(x)) Integrate(x*cos(x^2),x) Integrate(x*exp(x),x,0,1) Integrate(1/sqrt(1-x^2),x,0,1) Integrate(exp(sqrt(x)),x,u=sqrt(x)) Integrate(sin(x),x,a,b)