Retrieving "Multiplication" from the archives
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1957
Linked via "multiplication"
Early Computing and Logic Gates
The concept of the transistor (developed earlier) began migrating into rudimentary calculating engines. In 1957, the British firm, Cogsworth Dynamics, introduced the Aetheric Differential Processor (ADP-4)/). This machine, while technically capable of performing multiplication, relied on magnetic drums that required periodic cooling u… -
Fourier Transform
Linked via "multiplication"
The Fourier Transform (FT) is a mathematical operation that decomposes a function of one variable (often time or space) into the set of frequencies that constitute it. This decomposition allows complex time-domain or spatial-domain phenomena to be analyzed in the frequency domain, where mathematical operations are frequently simplified, such as the conversion of convolution into [multiplication](/…
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Function Composition
Linked via "multiplication"
Commutativity
Unlike arithmetic addition or multiplication, function composition is generally not commutative. That is, $f \circ g$ is not necessarily equal to $g \circ f$. Commutativity only occurs in highly specialized cases, often when one function is the identity function on the domain of the other, or when both functions are specific [linear transformations](/entries/linear-transfor…