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Hace 13 horas · Fig. 1: Three different formal concept lattices (FCLs) obtained from the three formal contexts describing the same 3BS, where balls are equipped with three distinct colours. The General Concept Lattice (GCL) proposes a novel general construction of concept hierarchy from formal context, where the conventional Formal Concept Lattice based on Formal Concept Analysis (FCA) only serves as a ...
Hace 6 días · Equivalence is symbolized with ⇔ and is a metalanguage symbol, while a biconditional is symbolized with ↔ and is a logical connective in the object language . Regardless, an equivalence or biconditional is true if, and only if, the formulas connected by it are assigned the same semantic value under every interpretation.
Hace 1 día · A series of independent states (for example, a series of coin flips) satisfies the formal definition of a Markov chain. However, the theory is usually applied only when the probability distribution of the next state depends on the current one. A non-Markov example
Logical Equivalence Two propositions \(A\) and \(B\) are equivalent if and only if \(A \leftrightarrow B\) is a tautology. \(_\square\) While the biconditional tests whether the two propositions are of equal value for a particular assignment of truth values, the equivalence is the test for all possible truth value assignments.
Hace 2 días · The infimum and supremum are concepts in mathematical analysis that generalize the notions of minimum and maximum of finite sets. They are extensively used in real analysis, including the axiomatic construction of the real numbers and the formal definition of the Riemann integral.
Hace 4 días · Formal Series -- from Wolfram MathWorld. Calculus and Analysis. Series. Series Expansions.
Hace 3 días · Nice - a counterexample to Betteridge's law (Score: 5, Interesting) by LeDopore ( 898286 ) on Sunday May 12, 2024 @01:29PM ( #64467087 ) Homepage Journal. Well, I guess they didn't ask *should* dark matter's main rival theory be dead. The answer to that is most definitely yes, in my opinion. Here's the thing.
