I assume I can attach a plot for you here - if the attachment goes through, that's what the output looked like for me for m=1, c=1, k=1 (critically damped, which looks correct) with an initial stretch of 2 and velocity of 4. With that correction, your program seems to work. This forces Freemat to do the multiplication element-by-element instead of a matrix multiplication. after the first expression, like so: x=A*exp(-z*w*t.)*sin(wd*t+phi). To do an element-wise multiplication, which is what I assume you want, simply put a. This results from trying to multiply two matrices whose dimensions don't match up correctly, namely (A*exp(-z*w*t)) and (sin(wd*t+phi)). In C:/Users/tj/Desktop/Vibo_amo.m(Vibo_amo) at line 12Įrror: Requested matrix multiplication requires arguments to be conformant. If you try to run it as is, you'll come up with the error: Also, I gave your program a run, you have a debugging error in line 12. If you want to do further manipulation, you'll want to run it as a script (i.e.: take the first line out, define your variables inside the script explicitly, then you can source the script or just type its filename at the prompt). The arguments give you the ability to change the variables at will from the command line, but bear in mind that once the function has executed, you will not be left with any of your calculated variables from inside the function. I assume I can attach a plot for you here - if the attachment goes through, thats what the output looked like for me for m1. > m = 1 c = 1 k = 1 x0 = 0 v0 = 0, tf = 10 This forces Freemat to do the multiplication element-by-element instead of a matrix multiplication. You need to just type the function name with the arguments, like so: If the variable x was previously declared, then the notation f( x) unambiguously means the value of f at x.Because you specifically named this a function, to which you pass arguments, you can't execute it line-by-line with the source command. When using this notation, one often encounters the abuse of notation whereby the notation f( x) can refer to the value of f at x, or to the function itself. In this case, a roman type is customarily used instead, such as " sin" for the sine function, in contrast to italic font for single-letter symbols. Some widely used functions are represented by a symbol consisting of several letters (usually two or three, generally an abbreviation of their name). For example, it is common to write sin x instead of sin( x).įunctional notation was first used by Leonhard Euler in 1734. When the symbol denoting the function consists of several characters and no ambiguity may arise, the parentheses of functional notation might be omitted. In this example, the function f takes a real number as input, squares it, then adds 1 to the result, then takes the sine of the result, and returns the final result as the output. For example, the value at 4 of the function that maps x to ( x + 1 ) 2. When the function is not named and is represented by an expression E, the value of the function at, say, x = 4 may be denoted by E| x=4. The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.Ī function is most often denoted by letters such as f, g and h, and the value of a function f at an element x of its domain is denoted by f( x) the numerical value resulting from the function evaluation at a particular input value is denoted by replacing x with this value for example, the value of f at x = 4 is denoted by f(4). Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). For example, the position of a planet is a function of time. įunctions were originally the idealization of how a varying quantity depends on another quantity. The set X is called the domain of the function and the set Y is called the codomain of the function. In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
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