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Chaitin's constant
Chaitin's constant In the computer science subfield of algorithmic information theory the Chaitin constant or halting probability is a construction ...
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Talk:Chaitin's constant
Talk:Chaitin's constant It is a normal and transcendental number ... to the incomputableness of the number. (The constant N heavily depends on the encoding choices ... 16 Sep, 2004 ... then there exists a constant N such that no digit of ...
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Chaitin constant (translated from German)
Chaitin constant Those chaitinsche constant the probability indicates, as the one universal ... any input continues. It is after Gregory Chaitin defines as |
Mathematical constant
Mathematical constant A mathematical constant is a quantity, usually a real number ... f(1)/f(0) is a mathematical constant, the constant e. f is also a periodic function ... value of its period is another mathematical constant, 2π. Mathematical constants are typically elements ...
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Gregory Chaitin
Gregory Chaitin Gregory J. Chaitin (born 1947) is an Argentine-American mathematician ... computer scientist. Beginning in the late 1960s, Chaitin made important contributions to algorithmic information theory ... incompleteness theorem similar in spirit to Gödel's incompleteness theorem. In 1995 he was given ... where his parents were born and where Chaitin spent part of his youth. He ...
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Talk:Mathematical constant
Talk:Mathematical constant Chaitin's constant? Should Chaitin's "constant" be here? It's ...
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Talk:Cantor's diagonal argument
Talk:Cantor's diagonal argument Archive of old discussion: May ... halting problem argument, standard proofs for Godel's incompleteness theorem and Tarski's theorem on the indefinability of truth, Curry's paradox (and Russell's paradox for that matter). Randall Holmes ...
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Count of constant mathematics (translated from French)
Count of constant mathematics One constant mathematics is a quantity which does not ... to one variable . With the difference of constant physics, constants mathematic is defined independently of all measuring unit physics. Constant mathematics is typically elements of corps of nombres real or of nombres complex . Constant mathematics which we consider is definable ...
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Talk:Computability theory (computer science)
... Church, and months later by Turing. Goedel's theorems don't really talk about algorithms ... don't directly apply. Of course, Goedel's trick of Goedel numbering and the Barber ... deterministic won't do. --AxelBoldt Yes, that's what it says. Perhaps you misread the ... I'm not sure what form Turing's definition took. But your change seems unhelpful ... too much weight on the word "arbitrarily". Chaitin's constant, for example, can be ...
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Kolmogorov complexity
... complexity (also known as descriptive complexity, Kolmogorov-Chaitin complexity, stochastic complexity, algorithmic entropy, or program ... string is the length of the string's shortest description in some fixed description language ... complexity is small relative to the string's size are not considered to be complex ... and prove impossibility results akin to Gödel's incompleteness theorem and Turing's halting problem. Algorithmic information theory is ...
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