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These points may be joined forming a shape like a spider. Joined points represent an "or" condition, also known as a logical disjunction. A spider diagram is a boolean expression involving unitary spider diagrams and the logical symbols ,,. For example, it may consist of the conjunction of two spider diagrams, the disjunction of two spider ...
An example ZX-diagram. This one has two inputs (wires coming from the left), and three outputs (wires exiting to the right), and hence it represents a linear map from to . ZX-diagrams consist of green and red nodes called spiders, which are connected by wires. Wires may curve and cross, arbitrarily many wires may connect to the same spider, and ...
Examples of chainable continua include compact connected linearly ordered spaces and in particular closed intervals of real numbers. The Kakutani fixed point theorem generalizes the Brouwer fixed-point theorem in a different direction: it stays in R n , but considers upper hemi-continuous set-valued functions (functions that assign to each ...
For example, several lossy image and sound compression methods employ the discrete Fourier transform: the signal is cut into short segments, each is transformed, and then the Fourier coefficients of high frequencies, which are assumed to be unnoticeable, are discarded. The decompressor computes the inverse transform based on this reduced number ...
In mathematics, the unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication.The unitary group is a subgroup of the general linear group GL(n, C), and it has as a subgroup the special unitary group, consisting of those unitary matrices with determinant 1.
In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for every g ∈ G.The general theory is well-developed in the case that G is a locally compact topological group and the representations are strongly continuous.
Some foods also contain water and can help with hydration: “Examples include tomatoes, cucumbers, oranges and lettuce, all of which can significantly contribute to your daily water intake ...
In other words, the following diagram commutes for all : Such a map is also called G {\displaystyle G} –linear , or an equivariant map . The kernel , the image and the cokernel of T {\displaystyle T} are defined by default.