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Simplifying this further gives us the solution x = −3. It is easily checked that none of the zeros of x ( x + 1)( x + 2) – namely x = 0 , x = −1 , and x = −2 – is a solution of the final equation, so no spurious solutions were introduced.
1988 Excel 1.5; 1989 Excel 2.2; 1990 Excel 3.0; 1992 Excel 4.0; 1993 Excel 5.0 (part of Office 4.x—Final Motorola 680x0 version [122] and first PowerPC version) 1998 Excel 8.0 (part of Office 98) 2000 Excel 9.0 (part of Office 2001) 2001 Excel 10.0 (part of Office v. X) 2004 Excel 11.0 (part of Office 2004) 2008 Excel 12.0 (part of Office 2008)
Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
For example, in the fraction 3 / 4 , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3 / 4 of a cake. Fractions can be used to represent ratios and division. [1]
Applying the fundamental recurrence formulas we find that the successive numerators A n are {1, 2, 3, 5, 8, 13, ...} and the successive denominators B n are {1, 1, 2, 3, 5, 8, ...}, the Fibonacci numbers. Since all the partial numerators in this example are equal to one, the determinant formula assures us that the absolute value of the ...
In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.
To make such a formula, one replaces a number with a cell reference. For instance, the formula =5*C10 would produce the result of multiplying the value in cell C10 by the number 5. If C10 holds the value 3 the result will be 15. But C10 might also hold its formula referring to other cells, and so on. A spreadsheet's concatenation ("&") function ...
4. Written as a function of another function, it is used for comparing the asymptotic growth of two functions. See Big O notation § Related asymptotic notations. 5. In number theory, may denote the prime omega function. That is, () is the number of distinct prime factors of the integer n.