The authors cover the need for proof, proving by contradiction, proving that something is false, describing a set, Venn diagrams, intersection and union, proving that two sets are equal, binary operations
, relatively prime pairs of numbers, the division algorithm, and a wide variety of other related subjects over the course of the bookAEs nineteen chapters.
Hence, the improving performance of the digital adder would greatly advance the execution of binary operations
inside a circuit involving of such blocks.
Hyperrings extend the classical notion of rings, substituting both or only one of the binary operations
of addition and multiplication by hyperoperations.
With fuzzy numbers basic binary operations
are used, e.
Chaining together arrays of such logic gates might allow a slime mold computer to carry out binary operations
We consider binary operations
 on k-graphs, resp.
For a, b [member of] [0, [infinity]), straight forward calculations lead to the following relations among normed binary operations
use such a representation to perform fast vector addition and subtraction needing six binary operations
for each ternary operation.
At it's most basic a computer is a machine that has some sort of central processor that is capable of performing binary operations
A set Q with three binary operations
x, \,/ is called a quasigroup if the following identities hold:
According to the above, we know that there are six binary operations
on a Girard quantale such as _&_, _ [[right arrow].
The disciplinary logic of the modern university does indeed tend towards binary operations
of inclusion or exclusion, but from a labor perspective, much of the work we do is not bi-directional but multidirectional, over-determined and set across an array or spectrum of activities, some of which can be registered as disciplinary, but many others that are either non-disciplinary, or don't register on the disciplinary scales.