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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).
Straight stitch – the basic stitch in hand-sewing and embroidery. Tacking stitch (UK, also baste or pin) – quick, temporary stitching intended to be removed. 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.
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".
A key–value database, or key–value store, is a data storage paradigm designed for storing, retrieving, and managing associative arrays, and a data structure more commonly known today as a dictionary or hash table. Dictionaries contain a collection of objects, or records, which in turn have many different fields within them, each containing ...
Kummer's theorem. Describes the highest power of primes dividing a binomial coefficient. In mathematics, Kummer's theorem is a formula for the exponent of the highest power of a prime number p that divides a given binomial coefficient. In other words, it gives the p -adic valuation of a binomial coefficient.
Call live aol support at. 1-800-358-4860. Get live expert help with your AOL needs—from email and passwords, technical questions, mobile email and more.
Call live aol support at. 1-800-358-4860. Get live expert help with your AOL needs—from email and passwords, technical questions, mobile email and more.
In all, Cardano was driven to the study of thirteen different types of cubic equations (chapters XI–XXIII). In Ars Magna the concept of multiple root appears for the first time (chapter I). The first example that Cardano provides of a polynomial equation with multiple roots is x 3 = 12x + 16, of which −2 is a double root.