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By Richard, (Editor) (Sammet), Goodman

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For a vector of length w, which is stored in n consecutive memory cells, a single codeword is required. For a matrix of m rows and n columns, (m + 1) codewords are required, the first referring to a vector of m codewords, each of these referring to a vector of n elements which is a row of the matrix. The vector codeword, or the first matrix codeword, is termed the principal codeword of the array; its address plays a part in code construction analogous to that of the address of a simple numerical object.

Associated with each statement definition. The compiling instructions are concerned with selecting processing and comparing the information in these registers, and in the registers whose address is contained in these registers. g. «io = & + ( α ι + 3 ) means a10 = ß2 -f the contents of the register whose address is a x -f 3. We may speak of the conventional list ax as denoting the set of consecutive registers 1 Γ " ~1 ax OLX -f 1 ax + 2 1 ax + 3 1 ax + 4 fete. Another kind of list is the chain in which each 24-bit word is accompanied (as the more significant half of a 48-bit word) by the address of the 'next' word.

G. row interchange and transposition, without altering the position of any element in storage. (vi) It does not require that the matrix rows be of equal length, and it can be adapted to the realization of symmetric and triangular matrices. (vii) Only the address portion (24 bits) of each codeword is used in the indirect addressing sequence, and the remaining 30 bits and two tags can be used for storing other information, notably: (a) the size of the vector which is being referred to, and (b) the type of object it represents, such as Euclidean vector, polynomial, multilength number, etc.

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