A note on an exponential semilinear equation of the fourth by Mugnai D.

By Mugnai D.

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To solve this problem, MATLAB defines operations on data arrays. 1 SIMPLE ARRAYS Consider the problem of computing values of the sine function over one half of its period, namely, y ϭ sin(x) over 0 Յ x Յ p. Since it is impossible to compute sin(x) at all points over this range (there are an infinite number of them), we must choose a finite number of points. In doing so, we sample the function. 0p. If you were using a scientific calculator to compute these values, you would start by making a list, or an array, of the values of x.

However, array addressing and the ability to combine expressions can help eliminate the need to enter individual elements, one at a time. For example, >> a = 1:5, b = 1:2:9 a = 1 2 3 4 5 1 3 5 7 9 b = 62 Chapter 5 Arrays and Array Operations creates two arrays. Remember that multiple statements can appear on a single line if they are separated by commas or semicolons. The code >> c = [b a] c = 1 3 5 7 9 1 2 3 4 5 creates an array c composed of the elements of b, followed by those of a, while the code >> d = [a(1:2:5) 1 0 1] d = 1 3 5 1 0 1 creates an array d composed of the first, third, and fifth elements of a, followed by three additional elements.

It is also possible for an array to be a column vector, having one column and multiple rows. In this case, all of the previous array manipulation and mathematics apply without change. The only difference is that results are displayed as columns, rather than as rows. Since the array creation functions previously illustrated all create row vectors, there must be some way to create column vectors. 4 Array Orientation 63 create a column vector is to specify it, element by element, and by using semicolons to separate values: >> c = [1;2;3;4;5] c = 1 2 3 4 5 According to this example, separating elements by spaces or commas specifies elements in different columns, whereas separating elements by semicolons specifies elements in different rows.

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