|
501 (number)
501 (five hundred ndone) is the natural number following 500 and preceding 502. 501 is the sum of the first eighteen primes. There are 501 degree-8 polynomials with integer coefficients, all of whose roots are in the unit disk. There are 501 ways of partitioning the digits from 0 to 9 into two sets, each of which contains at least two digits, and 501 ways of partitioning a set of five elements into any number of ordered sequences. 501 is also a figurate number based on the 5-orthoplex or 5-dimensional cross polytope. In the gematria of Eleazar of Worms, the Hebrew words "temunah" (image) and "parsuf 'adam" (human face) both had the numerological Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ... value of 501. Eleazar used this equivalence to argue that, in several Biblical passage ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal number, cardinal numbers'', and numbers used for ordering are called ''Ordinal number, ordinal numbers''. Natural numbers are sometimes used as labels, known as ''nominal numbers'', having none of the properties of numbers in a mathematical sense (e.g. sports Number (sports), jersey numbers). Some definitions, including the standard ISO/IEC 80000, ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with , corresponding to the positive integers Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, while in other writings, that term is used instead for the integers (including negative integers). The natural ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
500 (number)
500 (five hundred) is the natural number following 499 and preceding 501. Mathematical properties 500 = 22 × 53. It is an Achilles number and an Harshad number, meaning it is divisible by the sum of its digits. It is the number of planar partitions of 10. Other fields Five hundred is also *the number that many NASCAR races often use at the end of their race names (e.g., Daytona 500), to denote the length of the race (in miles, kilometers or laps). *the longest advertised distance (in miles) of the IndyCar Series and its premier race, the Indianapolis 500. Slang names * Monkey (UK slang for £500; USA slang for $500) Integers from 501 to 599 500s 501 501 = 3 × 167. It is: * the sum of the first 18 primes (a term of the sequence ). * palindromic in bases 9 (6169) and 20 (15120). 502 * 502 = 2 × 251 * vertically symmetric number 503 503 is: * a prime number. * a safe prime. * the sum of three consecutive primes (163 + 167 + 173). * the sum of the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polynomial
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate is . An example with three indeterminates is . Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry. Etymology The word ''polynomial'' join ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Figurate Number
The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean * polygonal number * a number represented as a discrete -dimensional regular geometry, geometric pattern of -dimensional Ball (mathematics), balls such as a polygonal number (for ) or a polyhedral number (for ). * a member of the subset of the sets above containing only triangular numbers, pyramidal numbers, and their analogs in other dimensions. Terminology Some kinds of figurate number were discussed in the 16th and 17th centuries under the name "figural number". In historical works about Greek mathematics the preferred term used to be ''figured number''. In a use going back to Jacob Bernoulli's Ars Conjectandi, the term ''figurate number'' is used for triangular numbers made up of successive integers, tetrahedral numbers made up of successi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
5-orthoplex
In five-dimensional geometry, a 5-orthoplex, or 5-cross polytope, is a five-dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 tetrahedron cells, 32 5-cell 4-faces. It has two constructed forms, the first being regular with Schläfli symbol , and the second with alternately labeled (checkerboarded) facets, with Schläfli symbol or Coxeter symbol 211. It is a part of an infinite family of polytopes, called cross-polytopes or ''orthoplexes''. The dual polytope is the 5-hypercube or 5-cube. Alternate names * pentacross, derived from combining the family name ''cross polytope'' with ''pente'' for five (dimensions) in Greek. * Triacontaditeron (or ''triacontakaiditeron'') - as a 32- facetted 5-polytope (polyteron). As a configuration This configuration matrix represents the 5-orthoplex. The rows and columns correspond to vertices, edges, faces, cells and 4-faces. The diagonal numbers say how many of each element occur in the whole 5-orthoplex. The nondi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cross Polytope
In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in ''n''- dimensional Euclidean space. A 2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahedron, and a 4-dimensional cross-polytope is a 16-cell. Its facets are simplexes of the previous dimension, while the cross-polytope's vertex figure is another cross-polytope from the previous dimension. The vertices of a cross-polytope can be chosen as the unit vectors pointing along each co-ordinate axis – i.e. all the permutations of . The cross-polytope is the convex hull of its vertices. The ''n''-dimensional cross-polytope can also be defined as the closed unit ball (or, according to some authors, its boundary) in the ℓ1-norm on R''n'': :\. In 1 dimension the cross-polytope is simply the line segment minus;1, +1 in 2 dimensions it is a square (or diamond) with vertices . In 3 dimensions it is an octahedron—one of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gematria
Gematria (; he, גמטריא or gimatria , plural or , ''gimatriot'') is the practice of assigning a numerical value to a name, word or phrase according to an alphanumerical cipher. A single word can yield several values depending on the cipher which is used. Hebrew alphanumeric ciphers were probably used in biblical times, and were later adopted by other cultures. Gematria is still widely used in Jewish culture. Similar systems have been used in other languages and cultures: the Greeks isopsephy, and later, derived from or inspired by Hebrew gematria, Arabic abjad numerals, and English gematria. Although a type of gematria system ('Aru') was employed by the ancient Babylonian culture, their writing script was logographic, and the numerical assignations they made were to whole words. The value of these words were assigned in an entirely arbitrary manner and correspondences were made through tables, and so cannot be considered a true form of gematria. Aru was very different from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eleazar Of Worms
Eleazar of Worms (אלעזר מוורמייזא - also מגרמייזא of Garmiza or Garmisa) (c. 1176–1238), or Eleazar ben Judah ben Kalonymus, also sometimes known today as Eleazar Rokeach ("Eleazar the Perfumer" אלעזר רקח) from the title of his ''Book of the Perfumer'' (''Sefer ha rokeah'' ספר הרקח)—where the numerical value of "Perfumer" (in Hebrew) is equal to Eleazar, was a leading Talmudist and Kabbalist, and the last major member of the ''Hasidei Ashkenaz'', a group of German Jewish pietists. Biography Eleazar was most likely born in Mainz. Through his father Judah ben Kalonymus, he was a descendant of the great Kalonymus family of Mainz. Eleazar was also a disciple of Judah ben Samuel of Regensburg (Judah he-Hasid), who initiated him into the study of the Kabbalah, at that time little known in Germany. According to Zunz, Eleazar was hazzan at Erfurt before he became rabbi at Worms. In 1233 he took part in the Synod of Mainz which enacted the bo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerology
Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in words and names. When numerology is applied to a person's name, it is a form of onomancy. It is often associated with the paranormal, alongside astrology and similar to divinatory arts. Despite the long history of numerological ideas, the word "numerology" is not recorded in English before c. 1907. The term numerologist can be used for those who place faith in numerical patterns and draw inferences from them, even if those people do not practice traditional numerology. For example, in his 1997 book ''Numerology: Or What Pythagoras Wrought'' (), mathematician Underwood Dudley uses the term to discuss practitioners of the Elliott wave principle of stock market analysis. History The practice of gematria, assigning numerical values to wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Character Test
Character evidence is a term used in the law of evidence to describe any testimony or document submitted for the purpose of proving that a person acted in a particular way on a particular occasion based on the character or disposition of that person. In the United States, Federal Rule of Evidence 404 maps out its permissible and prohibited uses in trials. Three factors typically determine the admissibility of character evidence: # the purpose the character evidence is being used for # the form in which the character evidence is offered # the type of proceeding (civil or criminal) in which the character evidence is offered Purpose In the United States, character evidence may be offered at trial to: :1. prove character, if character is a substantive issue in the litigation ::admissibility of character evidence to prove character is ''not'' affected by the case's civil or criminal nature :2. prove, through circumstantial evidence, an aspect of an individual's conduct ::character ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stuff (website)
Stuff is a New Zealand news media website owned by newspaper conglomerate Stuff Ltd (formerly called Fairfax). It is the most popular news website in New Zealand, with a monthly unique audience of more than 2 million. Stuff was founded in 2000, and publishes breaking news, weather, sport, politics, video, entertainment, business and life and style content from Stuff Ltd's newspapers, which include New Zealand's second- and third-highest circulation daily newspapers, ''The Dominion Post'' and ''The Press'', and the highest circulation weekly, '' Sunday Star-Times'', as well as international news wire services. Stuff has won numerous awards at the Newspaper Publishers' Association awards including 'Best News Website or App' in 2014 and 2019, and 'Website of the Year' in 2013 and 2018. History The former New Zealand media company Independent Newspapers Ltd (INL), owned by News Corp Australia, launched Stuff on 27 June 2000 at a cybercafe in Auckland, after announcing its inte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
