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  2. Using a programmable thermostat's setback feature to limit heating or cooling in a temporarily unoccupied building does not waste as much energy as leaving the temperature constant. Using setback saves energy (5–15%) because heat transfer across the surface of the building is roughly proportional to the temperature difference between its ...

  3. Limit (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Limit_(mathematics)

    Augustin-Louis Cauchy in 1821, [6] followed by Karl Weierstrass, formalized the definition of the limit of a function which became known as the (ε, δ)-definition of limit. The modern notation of placing the arrow below the limit symbol is due to G. H. Hardy, who introduced it in his book A Course of Pure Mathematics in 1908. [7]

  4. Limit - Wikipedia

    en.wikipedia.org/wiki/Limit

    Limit of a function (ε,_δ)-definition of limit, formal definition of the mathematical notion of limit; Limit of a sequence; One-sided limit, either of the two limits of a function as a specified point is approached from below or from above; Limit inferior and limit superior; Limit of a net; Limit point, in topological spaces; Limit (category ...

  5. Limit of a function - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_function

    The definition of limit given here does not depend on how (or whether) f is defined at p. Bartle [9] refers to this as a deleted limit, because it excludes the value of f at p. The corresponding non-deleted limit does depend on the value of f at p, if p is in the domain of f. Let : be a real-valued function.

  6. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    This is a list of limits for common functions such as elementary functions. In this article, the terms a , b and c are constants with respect to x . Limits for general functions

  7. Iterated limit - Wikipedia

    en.wikipedia.org/wiki/Iterated_limit

    In multivariable calculus, an iterated limit is a limit of a sequence or a limit of a function in the form , = (,), (,) = ((,)),or other similar forms. An iterated limit is only defined for an expression whose value depends on at least two variables. To evaluate such a limit, one takes the limiting process as one of the two variables approaches some number, getting an expression whose value ...

  8. Limit of a sequence - Wikipedia

    en.wikipedia.org/wiki/Limit_of_a_sequence

    A limit of a sequence of points () in a topological space is a special case of a limit of a function: the domain is in the space {+}, with the induced topology of the affinely extended real number system, the range is , and the function argument tends to +, which in this space is a limit point of .

  9. Ignoramus et ignorabimus - Wikipedia

    en.wikipedia.org/wiki/Ignoramus_et_ignorabimus

    The Latin maxim ignoramus et ignorabimus, meaning "we do not know and will not know", represents the idea that scientific knowledge is limited. It was popularized by Emil du Bois-Reymond , a German physiologist , in his 1872 address "Über die Grenzen des Naturerkennens" ("The Limits of Science").