1](n) be an arithmetic function
defined by (4), then we have
Given two arithmetic functions
f and g, the Dirichlet (convolution) product f * g is again an arithmetic function
which is defined by
The first pattern, serial thinking, is the logical, arithmetic function
that is closely akin to the way computers operate.
It does not perform an arithmetic function
on the value (1), and it does not skip blanks FALSE) or transpose (FALSE).
Subbarao, On some arithmetic convolutions in The theory of arithmetic function
, lecture notes in mathematics, springer, 251(1972), 247-271.
Additionally, SDS200A will provide: XY cursor function, 23 measurement functions, arithmetic function
, FFT with windows options (Rectangular, Hanning, Hamming, and Blackman), persistence/intensity control, dots line on/off function for versatility in waveform display.
Let f(n) be any arithmetic function
satisfying condition (ii), i.
Let f(n,u) be an arithmetic function
defined by (12), then we have
2] Laszla Toth, On certain arithmetic function
involing exponential divisors, II.
For random, control logic functions, densities will be comparable to look-up table-based architectures, or about one-half the arithmetic function
Let a(n) be the arithmetic function
defined by (2), then we have
10] Zhang Tianping, An arithmetic function
and the divisor product sequences, research on Smarandache problems in number theory, Hexis, 2004, 21-26.