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  2. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    As a consequence, log b (x) diverges to infinity (gets bigger than any given number) if x grows to infinity, provided that b is greater than one. In that case, log b (x) is an increasing function. For b < 1, log b (x) tends to minus infinity instead. When x approaches zero, log b x goes to minus infinity for b > 1 (plus infinity for b < 1 ...

  3. Intuition - Wikipedia

    en.wikipedia.org/wiki/Intuition

    Intuition was assessed by a sample of 11 Australian business leaders as a gut feeling based on experience, which they considered useful for making judgments about people, culture, and strategy. [45] Such an example likens intuition to "gut feelings", which — when viable [clarification needed] — illustrate preconscious activity. [46]

  4. Prime number theorem - Wikipedia

    en.wikipedia.org/wiki/Prime_number_theorem

    The first such distribution found is π(N) ~ ⁠ N / log(N) ⁠, where π(N) is the prime-counting function (the number of primes less than or equal to N) and log(N) is the natural logarithm of N. This means that for large enough N , the probability that a random integer not greater than N is prime is very close to 1 / log( N ) .

  5. Intuitionistic logic - Wikipedia

    en.wikipedia.org/wiki/Intuitionistic_logic

    Intuitionistic logic has found practical use in mathematics despite the challenges presented by the inability to utilize these rules. One reason for this is that its restrictions produce proofs that have the disjunction and existence properties, making it also suitable for other forms of mathematical constructivism.

  6. Logical intuition - Wikipedia

    en.wikipedia.org/wiki/Logical_intuition

    Logical Intuition, or mathematical intuition or rational intuition, is a series of instinctive foresight, know-how, and savviness often associated with the ability to perceive logical or mathematical truth—and the ability to solve mathematical challenges efficiently. [1]

  7. Rademacher complexity - Wikipedia

    en.wikipedia.org/wiki/Rademacher_complexity

    Intuition [ edit ] The Rademacher complexity is typically applied on a function class of models that are used for classification, with the goal of measuring their ability to classify points drawn from a probability space under arbitrary labellings.

  8. Martingale (probability theory) - Wikipedia

    en.wikipedia.org/wiki/Martingale_(probability...

    The intuition behind the definition is that at any particular time t, you can look at the sequence so far and tell if it is time to stop. An example in real life might be the time at which a gambler leaves the gambling table, which might be a function of their previous winnings (for example, he might leave only when he goes broke), but he can't ...

  9. Alon–Boppana bound - Wikipedia

    en.wikipedia.org/wiki/Alon–Boppana_bound

    The intuition for the number comes from considering the infinite -regular tree. [2] This graph is a universal cover of d {\displaystyle d} -regular graphs, and it has spectral radius 2 d − 1 . {\displaystyle 2{\sqrt {d-1}}.}