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  2. Word equation - Wikipedia

    en.wikipedia.org/wiki/Word_equation

    A classical example of a word equation is the commutation equation =, in which is an unknown and is a constant word. It is well-known [ 4 ] that the solutions of the commutation equation are exactly those morphisms h {\displaystyle h} mapping x {\displaystyle x} to some power of w {\displaystyle w} .

  3. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    In these limits, the infinitesimal change is often denoted or .If () is differentiable at , (+) = ′ ().This is the definition of the derivative.All differentiation rules can also be reframed as rules involving limits.

  4. L-infinity - Wikipedia

    en.wikipedia.org/wiki/L-infinity

    is a function space.Its elements are the essentially bounded measurable functions. [2]More precisely, is defined based on an underlying measure space, (,,). Start with the set of all measurable functions from to which are essentially bounded, that is, bounded except on a set of measure zero.

  5. Levi's lemma - Wikipedia

    en.wikipedia.org/wiki/Levi's_lemma

    If each unknown appears at most twice, then a word equation is called quadratic; in a quadratic word equation the graph obtained by repeatedly applying Levi's lemma is finite, so it is decidable if a quadratic word equation has a solution. [2] A more general method for solving word equations is Makanin's algorithm. [3] [4]

  6. Extended real number line - Wikipedia

    en.wikipedia.org/wiki/Extended_real_number_line

    For example, the infinite sequence (,, … ) {\displaystyle (1,2,\ldots )} of the natural numbers increases infinitively and has no upper bound in the real number system (a potential infinity); in the extended real number line, the sequence has + ∞ {\displaystyle +\infty } as its least upper bound and as its limit (an actual infinity).

  7. Infinite product - Wikipedia

    en.wikipedia.org/wiki/Infinite_product

    The best known examples of infinite products are probably some of the formulae for π, such as the following two products, respectively by Viète (Viète's formula, the first published infinite product in mathematics) and John Wallis (Wallis product):

  8. Limit comparison test - Wikipedia

    en.wikipedia.org/wiki/Limit_comparison_test

    Help; Learn to edit; Community portal; Recent changes; Upload file; Special pages

  9. List of mathematical abbreviations - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    LHS – left-hand side of an equation. Li – offset logarithmic integral function. li – logarithmic integral function or linearly independent. lim – limit of a sequence, or of a function. lim inf – limit inferior. lim sup – limit superior. LLN – law of large numbers. ln – natural logarithm, log e. lnp1 – natural logarithm plus 1 ...

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