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An archetypal double counting proof is for the well known formula for the number () of k-combinations (i.e., subsets of size k) of an n-element set: = (+) ().Here a direct bijective proof is not possible: because the right-hand side of the identity is a fraction, there is no set obviously counted by it (it even takes some thought to see that the denominator always evenly divides the numerator).
The Secure Hash Algorithms are a family of cryptographic hash functions published by the National Institute of Standards and Technology (NIST) as a U.S. Federal Information Processing Standard (FIPS), including: SHA-0: A retronym applied to the original version of the 160-bit hash function published in 1993 under the name "SHA".
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Tent stitch – diagonal embroidery stitch at a 45-degree angle. Topstitch – used on garment edges such as necklines and hems, helps facings stay in place and gives a crisp edge. Whipstitch – for protecting edges. Ladder stitch or mattress stitch – for invisibly closing seams from the outside, i.e. to close a pillow after being stuffed.
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The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object in -dimensional space is the intersection of all hyperplanes that divide into two parts of equal moment about the hyperplane.
Depending on the game, a minimum of either two or three numbers(not counting a "bonus ball") must be matched for a winning ticket(A 2/5 match usually results in a free play for that game, or a "break-even" win; for the latter, the player wins back their stake on that particular five-number wager.).
It is stated by Michael Deakin as follows: A mixture is known to contain a mix of wine and water in proportions such that the amount of wine divided by the amount of water is a ratio lying in the interval (i.e. 25-75% wine). We seek the probability, say, that . (i.e. less than or equal to 66%.) The core of the paradox is in finding consistent ...