-
Polyadic algebras (more
recently called Halmos algebras) are
algebraic structures introduced by Paul Halmos. They are
related to first-order
logic analogous...
- In mathematics, a
polyadic space is a
topological space that is the
image under a
continuous function of a
topological power of an
Alexandroff one-point...
-
contribution to the
theory of
polyadic, or n-ary,
groups in a long
paper published in 1940. His
major theorem showed that a
polyadic group is the
iterated multiplication...
-
contrasted with
polyadic predicate calculus,
which allows relation symbols that take two or more arguments. The
absence of
polyadic relation symbols...
- any one
variable if all the
other n
variables are
specified arbitrarily.
Polyadic or
multiary means n-ary for some
nonnegative integer n. A 0-ary, or nullary...
-
variable number of
arguments are
called multigrade, anadic, or
variably polyadic.
Latinate names are
commonly used for
specific arities,
primarily based...
- z_{n}\rangle .P} (
polyadic output) and x ( z 1 , . . . , z n ) . P {\displaystyle x(z_{1},...,z_{n}).P} (
polyadic input). This
polyadic extension, which...
-
Carol cooperate. are said to
involve a
multigrade (also
known as
variably polyadic, also anadic)
predicate or
relation ("cooperate" in this example), meaning...
- this
decomposition is an open problem.[clarification needed]
Canonical polyadic decomposition (CPD) is a
variant of the
tensor rank decomposition, in which...
- logic, and what
polyadic algebras are to first-order logic. Paul
Halmos discovered monadic Boolean algebras while working on
polyadic algebras; Halmos...