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The equation. A x + B y = C z {\displaystyle A^ {x}+B^ {y}=C^ {z}} has no solutions in positive integers and pairwise coprime integers A, B, C if x, y, z ≥ 3. The conjecture was formulated in 1993 by Andrew Beal, a banker and amateur mathematician, while investigating generalizations of Fermat's Last Theorem.
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Covariance function. In probability theory and statistics, the covariance function describes how much two random variables change together (their covariance) with varying spatial or temporal separation. For a random field or stochastic process Z ( x) on a domain D, a covariance function C ( x , y) gives the covariance of the values of the ...
Covariance operator. In probability theory, for a probability measure P on a Hilbert space H with inner product , the covariance of P is the bilinear form Cov: H × H → R given by. for all x and y in H. The covariance operator C is then defined by. (from the Riesz representation theorem, such operator exists if Cov is bounded ).
The violet is the mutual information . In information theory, the conditional entropy quantifies the amount of information needed to describe the outcome of a random variable given that the value of another random variable is known. Here, information is measured in shannons, nats, or hartleys. The entropy of conditioned on is written as .
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The consensus or consensus term of two conjunctive terms of a disjunction is defined when one term contains the literal and the other the literal , an opposition. The consensus is the conjunction of the two terms, omitting both and , and repeated literals. For example, the consensus of and is . [2] The consensus is undefined if there is more ...
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