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  2. Summation - Wikipedia

    en.wikipedia.org/wiki/Summation

    In mathematics, summation is the addition of a sequence of numbers, called addends or summands; the result is their sum or total.Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined.

  3. Sigmoid function - Wikipedia

    en.wikipedia.org/wiki/Sigmoid_function

    A sigmoid function is a bounded, differentiable, real function that is defined for all real input values and has a non-negative derivative at each point [1] [2] and exactly one inflection point. Properties

  4. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

  5. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    Those methods work on oscillating divergent series, but they cannot produce a finite answer for a series that diverges to +∞. [6] Most of the more elementary definitions of the sum of a divergent series are stable and linear, and any method that is both stable and linear cannot sum 1 + 2 + 3 + ⋯ to a finite value (see § Heuristics below).

  6. Is a 'quademic' swirling? What you should know about flu, RSV ...

    www.aol.com/news/quademic-swirling-know-flu-rsv...

    RSV can be confused with other viruses. RSV, respiratory syncytial virus, usually peaks in December and January while infecting the nose, throat and lungs, usually causing mild, cold-like symptoms ...

  7. Improper integral - Wikipedia

    en.wikipedia.org/wiki/Improper_integral

    At the lower bound of the integration domain, as x goes to 0 the function goes to ∞, and the upper bound is itself ∞, though the function goes to 0. Thus this is a doubly improper integral. Integrated, say, from 1 to 3, an ordinary Riemann sum suffices to produce a result of π /6. To integrate from 1 to ∞, a Riemann

  8. Does the Formula of “The Simple Life” Still Hold Up?

    www.aol.com/does-formula-simple-life-still...

    The audience will consist of their family and biggest fans, and the work includes hiring real musical composers, opera singers, actors, and more for a production that you have to see to believe.

  9. NYT ‘Connections’ Hints and Answers Today, Sunday, February 16

    www.aol.com/nyt-connections-hints-answers-today...

    Today's Connections Game Answers for Sunday, February 16, 2025: 1. GLIMMER: HINT, SUGGESTION, TOUCH, TRACE 2. CORRESPOND WELL WITH: COMPLEMENT, FIT, MATCH, SUIT 3 ...