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  2. Omega constant - Wikipedia

    en.wikipedia.org/wiki/Omega_constant

    The omega constant is a mathematical constant defined as the unique real number that satisfies the equation = It is the value of W(1), where W is Lambert's W function. The name is derived from the alternate name for Lambert's W function, the omega function. The numerical value of Ω is given by

  3. List of mathematical constants - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_constants

    1900 to 1600 BCE [2] Tau: 6.28318 53071 79586 47692 [3] [OEIS 2] Ratio of a circle's circumference to its radius. Equal to : 1900 to 1600 BCE [2] Square root of 2, Pythagoras constant [4] 1.41421 35623 73095 04880 [Mw 2] [OEIS 3] Positive root of =

  4. ω-consistent theory - Wikipedia

    en.wikipedia.org/wiki/Ω-consistent_theory

    Let T be PA together with the axioms c ≠ n for each natural number n, where c is a new constant added to the language. Then T is arithmetically sound (as any nonstandard model of PA can be expanded to a model of T ), but ω-inconsistent (as it proves ∃ x c = x {\displaystyle \exists x\,c=x} , and c ≠ n for every number n ).

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  6. Time constant - Wikipedia

    en.wikipedia.org/wiki/Time_constant

    In physics and engineering, the time constant, usually denoted by the Greek letter τ (tau), is the parameter characterizing the response to a step input of a first-order, linear time-invariant (LTI) system. [1] [note 1] The time constant is the main characteristic unit of a first-order LTI system. It gives speed of the response.

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  9. Chaitin's constant - Wikipedia

    en.wikipedia.org/wiki/Chaitin's_constant

    In the computer science subfield of algorithmic information theory, a Chaitin constant (Chaitin omega number) [1] or halting probability is a real number that, informally speaking, represents the probability that a randomly constructed program will halt.