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A proof by double counting. A combinatorial identity is proven by counting the number of elements of some carefully chosen set in two different ways to obtain the different expressions in the identity. Since those expressions count the same objects, they must be equal to each other and thus the identity is established. A bijective proof.
Garfield in 1881. Garfield's proof of the Pythagorean theorem is an original proof the Pythagorean theorem invented by James A. Garfield (November 19, 1831 – September 19, 1881), the 20th president of the United States. The proof appeared in print in the New-England Journal of Education (Vol. 3, No.14, April 1, 1876). [1][2] At the time of ...
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".
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.
List of telescope types working outside the optical spectrum. Atmospheric Cherenkov telescope used to detect gamma rays. Infrared telescope. Radio telescope. Submillimeter telescope. Ultraviolet telescope (see also Ultraviolet astronomy) X-ray telescope (see also X-ray astronomy) Wolter telescope.
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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.
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.