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  2. Template : Durrett Probability Theory and Examples 5th ...

    en.wikipedia.org/wiki/Template:Durrett...

    {{Durrett Probability Theory and Examples 5th Edition}} will display: Durrett, Richard (2019). Probability: Theory and Examples (PDF). Cambridge Series in Statistical and Probabilistic Mathematics. Vol. 49 (5th ed.). Cambridge New York, NY: Cambridge University Press. ISBN 978-1-108-47368-2. OCLC 1100115281

  3. Abel–Ruffini theorem - Wikipedia

    en.wikipedia.org/wiki/Abel–Ruffini_theorem

    This does not follow from Abel's statement of the theorem, but is a corollary of his proof, as his proof is based on the fact that some polynomials in the coefficients of the equation are not the zero polynomial. This improved statement follows directly from Galois theory § A non-solvable quintic example. Galois theory implies also that

  4. Quintic function - Wikipedia

    en.wikipedia.org/wiki/Quintic_function

    Blair Spearman and Kenneth S. Williams, "Characterization of solvable quintics x 5 + ax + b, American Mathematical Monthly, 101:986–992 (1994). Ian Stewart, Galois Theory 2nd Edition, Chapman and Hall, 1989. ISBN 0-412-34550-1. Discusses Galois Theory in general including a proof of insolvability of the general quintic.

  5. Theorem on friends and strangers - Wikipedia

    en.wikipedia.org/wiki/Theorem_on_friends_and...

    A 2-colouring of K 5 with no monochromatic K 3. The conclusion to the theorem does not hold if we replace the party of six people by a party of fewer than six. To show this, we give a coloring of K 5 with red and blue that does not contain a triangle with all edges the same color. We draw K 5 as a pentagon surrounding a star (a pentagram). We ...

  6. Theory - Wikipedia

    en.wikipedia.org/wiki/Theory

    The English word theory derives from a technical term in philosophy in Ancient Greek.As an everyday word, theoria, θεωρία, meant "looking at, viewing, beholding", but in more technical contexts it came to refer to contemplative or speculative understandings of natural things, such as those of natural philosophers, as opposed to more practical ways of knowing things, like that of skilled ...

  7. Five color theorem - Wikipedia

    en.wikipedia.org/wiki/Five_color_theorem

    If the graph is empty, we go to the final step 5 below. Otherwise, Wernicke's Theorem tells us that S 5 is nonempty. Pop v off S 5, delete it from the graph, and let v 1, v 2, v 3, v 4, v 5 be the former neighbors of v in clockwise planar order, where v 1 is the neighbor of degree at most 6.

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