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Concept# Index notation

Summary

In mathematics and computer programming, index notation is used to specify the elements of an array of numbers. The formalism of how indices are used varies according to the subject. In particular, there are different methods for referring to the elements of a list, a vector, or a matrix, depending on whether one is writing a formal mathematical paper for publication, or when one is writing a computer program.
In mathematics
Ricci calculus and tensor
It is frequently helpful in mathematics to refer to the elements of an array using subscripts. The subscripts can be integers or variables. The array takes the form of tensors in general, since these can be treated as multi-dimensional arrays. Special (and more familiar) cases are vectors (1d arrays) and matrices (2d arrays).
The following is only an introduction to the concept: index notation is used in more detail in mathematics (particularly in the representation and manipulation of tensor operations). See the main articl

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A method and apparatus to produce a net list of gates and Flip-Flops for one algorithm in order to find the best compromise between power consumption, speed and silicon surface by using a two step process. First the algorithm is written for a processor that has no restrictions in terms of number and size of register, core, operations set, memory handler and instructions. The program assembly of this processor fits into a two-dimensional table. To increase speed, the tables are configured to place the program operation in as many columns as possible, and to reduce silicon the tables are configured to place operations in a single column with many rows. The second stage consists of converting this virtual processor with its program tables into an HDL file ready for synthesis.

2010