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For example, in the expression (f(x)-1)/(f(x)+1), the function f cannot be called only once with its value used two times since the two calls may return different results. Moreover, in the few languages which define the order of evaluation of the division operator's operands, the value of x must be fetched again before the second call, since ...
Step 2 - Excel; This will look a bit long-winded but I've broken it down into individual cells so that you can see what is going on. You can make it more compact when you understand it. Copy the text to the right of the colon: into the cell indicated. Make sure to include the single apostrophe ' and the spaces.
If a variable is free in a given expression or formula, then it can be replaced with any of the values in its range. [8] Certain kinds of bound variables can be substituted too. For instance, parameters of an expression (like the coefficients of a polynomial ), or the argument of a function .
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.
A vector treated as an array of numbers by writing as a row vector or column vector (whichever is used depends on convenience or context): = (), = Index notation allows indication of the elements of the array by simply writing a i, where the index i is known to run from 1 to n, because of n-dimensions. [1]
Given enough hairspray (and hair) I'm sure I could handle half a dozen :D --inks T 01:55, 16 June 2006 (UTC) Depends on what state the egg is in - a poached, scrambled or fried one would sit rather comfortably, although you should let it cool down first, particularly if you have short hair / are bald.
A transversal in a Latin square is a choice of n cells, where each row contains one cell, each column contains one cell, and there is one cell containing each symbol. One can consider a Latin square as a complete bipartite graph in which the rows are vertices of one part, the columns are vertices of the other part, each cell is an edge (between ...
x 1 = x; x 2 = x 2 for i = k - 2 to 0 do if n i = 0 then x 2 = x 1 * x 2; x 1 = x 1 2 else x 1 = x 1 * x 2; x 2 = x 2 2 return x 1 The algorithm performs a fixed sequence of operations ( up to log n ): a multiplication and squaring takes place for each bit in the exponent, regardless of the bit's specific value.