Here we prove the theorem about linear transformations from Rn to Rm. Theorem. A function f from Rn to Rm is a linear transformation if and only if it satisfies the following two properties: For every two vectors A and B in Rn. f(A+B)=f(A)+f(B); For every vector A in Rn and every number k. f(kA)=kf(A).
REXX was a computer programming language developed at IBM in the late 1970âs. Itâs a structured high-level language intended for scripting and macro writing. It was popularized in the Amiga computer operating system Amiga OS and later in IBMâs OS/2 but it existed before those on various IBM operating systems for mainframes and minicomputers.
This is the stem âzeroâ variable and is addressed as âstem.0â in REXX. The value of the input.0 variable is used in this case to determine the upper limit for a âdo whileâ loop to process all records in the stem variable.