Array Arithmetic

Multiplying a scalar to an array, multiplies all the elements by the scalar  

Only two arrays of the same size may be added or subtracted  

Adding a scalar to an array results in adding the scalar to all the elements of the array a+2 

Vector and matrix multiplication requires that the sizes match  

To perform an operation on an array element-by-element, use a before the operator a. b 

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Assignment statements—Assign values by numerical or character constants, by expressions (see Table 1-29 for arithmetic and set operators), or by input to variables, array elements, and fields... 

The fast Fourier transform (FFT) requires 5N log N (Bergland, 1969) elementary arithmetic operations for an array of N samples. Computation of the convolution product requires three such transforms plus 4N elementary operations (N complex products) in the transform domain. 

After collection of time delays packages from the AC to the VC there is a processing of the received time values and the statistical analysis is executed. The delays values between packages are saved in two arrays [18], the first array includes the microseconds, the second one includes the seconds. The difference between any two neighboring pairs of time delays is calculated in the cycle, then it is saved in other array and calculated the arithmetic mean. Really the received array of time delays differences and the calculated arithmetic mean form the first half of general result which the module gives. 

The term moving is used because the filter software maintains a storage array with the previous n values of the input. When a new value is received, the oldest value in the storage array is replaced with the new value, and the arithmetic average is recomputed. This permits the filtered value to be updated each time a new input value is received. 

The main difference between both algorithms lies in the fact that even for a real input the FFT always needs complex arithmetic while the FHT operates entirely in the real space. This fact alone speeds up the FHT for at least a factor of 2, without mentioning the savings of the computer memory (see specifications of arrays in both subroutines FFT and FHT shown in Figure 5.1). 

With respect to the use of Hankel determinants, the memory function PD algorithm is very convenient because it needs only two arrays of 2n storage locations, instead of = storage locations, to construct n steps of the continued fraction. It is thus possible to use multiple-precision arithmetic, when necessary, and to overcome round-ofif errors and numerical instabilities. 

Earlier we learned that FALSE can be represented by zero and TRUE by any non-zero value. If a logical expression is included in an arithmetic operation, FALSE becomes zero and TRUE becomes 1. Thus we can convert the array of TRUE and FALSE values to I s and O s by the expression =(YOG=96) 1. Again, use function key F9 to display the array of values ... 

Kruskal J, Three-way arrays rank and uniqueness of trilinear decompositions with applications to arithmetic complexity and statistics, Linear Algebra and its Applications, 1977,18, 95-138. 

The fourth worksheet, Import Analyses, contains formulas that perform arithmetic operations on the fluorescence data (i.e., Cy5/Cy3 signal ratios) that you paste into the worksheet. Other formulas in this sheet combine the values of these operations to generate an INR for each coordinate on the array (see Note 22). 

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