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  2. Equating coefficients - Wikipedia

    en.wikipedia.org/wiki/Equating_coefficients

    The unique pair of values a, b satisfying the first two equations is (a, b) = (1, 1); since these values also satisfy the third equation, there do in fact exist a, b such that a times the original first equation plus b times the original second equation equals the original third equation; we conclude that the third equation is linearly ...

  3. Versine - Wikipedia

    en.wikipedia.org/wiki/Versine

    Even with a calculator or computer, round-off errors make it advisable to use the sin 2 formula for small θ. Another historical advantage of the versine is that it is always non-negative, so its logarithm is defined everywhere except for the single angle ( θ = 0, 2 π , …) where it is zero—thus, one could use logarithmic tables for ...

  4. 2-factor theorem - Wikipedia

    en.wikipedia.org/wiki/2-factor_theorem

    In the mathematical discipline of graph theory, the 2-factor theorem, discovered by Julius Petersen, is one of the earliest works in graph theory. It can be stated as follows: [ 1 ] Let G {\displaystyle G} be a regular graph whose degree is an even number, 2 k {\displaystyle 2k} .

  5. Cartesian product of graphs - Wikipedia

    en.wikipedia.org/wiki/Cartesian_product_of_graphs

    A Cartesian product of two graphs. In graph theory, the Cartesian product G H of graphs G and H is a graph such that: the vertex set of G H is the Cartesian product V(G) × V(H); and; two vertices (u,v) and (u' ,v' ) are adjacent in G H if and only if either u = u' and v is adjacent to v' in H, or; v = v' and u is adjacent to u' in G.

  6. Cialis and Alcohol: Is it Safe?

    www.aol.com/cialis-alcohol-safe-115800912.html

    How Cialis Works. Cialis is a prescription medication designed to treat ED. It’s approved for this use by the U.S. Food and Drug Administration (FDA). Tadalafil is the active ingredient in Cialis.

  7. Mortgage and refinance rates for Dec. 23, 2024: Holiday week ...

    www.aol.com/mortgage-and-refinance-rates-for-dec...

    See today's average mortgage rates for a 30-year fixed mortgage, 15-year fixed, jumbo loans, refinance rates and more — including up-to-date rate news.

  8. Explainer-How Trump could bypass the Senate to install his ...

    www.aol.com/news/explainer-trump-could-bypass...

    President-elect Donald Trump has said he might install his picks for top administration posts without first winning approval in the U.S. Senate. This would erode the power of Congress and remove a ...

  9. Tupper's self-referential formula - Wikipedia

    en.wikipedia.org/wiki/Tupper's_self-referential...

    The formula was defined by Jeff Tupper and appears as an example in Tupper's 2001 SIGGRAPH paper on reliable two-dimensional computer graphing algorithms. [1] This paper discusses methods related to the GrafEq formula-graphing program developed by Tupper. [2] Although the formula is called "self-referential", Tupper did not name it as such. [3]