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900 (number)
900 (nine hundred) is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10, it is a Harshad number. It is also the first number to be the square of a sphenic number. In other fields 900 is also: * A telephone area code for "premium" telephone calls in the North American Numbering Plan (900 number) * In Greek number symbols, the sign Sampi ("ϡ", literally "like a pi") * A skateboarding trick in which the skateboarder spins two and a half times (360 degrees times 2.5 is 900) * A 900 series refers to three consecutive perfect games in bowling * Yoda's age in Star Wars Integers from 901 to 999 900s * 901 = 17 × 53, centered triangular number, happy number * 902 = 2 × 11 × 41, sphenic number, nontotient, Harshad number * 903 = 3 × 7 × 43, sphenic number, 42nd triangular number, Schröder–Hipparchus number, Mertens function(903) returns 0, little Schroeder n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Armenian Numerals
Armenian numerals form a historic numeral system created using the majuscules (uppercase letters) of the Armenian alphabet. There was no notation for zero in the old system, and the numeric values for individual letters were added together. The principles behind this system are the same as for the ancient Greek numerals and Hebrew numerals. In modern Armenia, the familiar Arabic numerals are used. In contemporary writing, Armenian numerals are used more or less like Roman numerals in modern English, e.g. Գարեգին Բ. means Garegin II and Գ. գլուխ means ''Chapter III'' (as a headline). The final two letters of the Armenian alphabet, "o" (Օ) and "fe" (Ֆ), were added to the Armenian alphabet only after Arabic numerals were already in use, to facilitate transliteration of other languages. Thus, they sometimes have a numerical value assigned to them. Notation As in Hebrew and ancient notation, in Armenian numerals distinct symbols represent multiples of po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sampi
Sampi (modern: ϡ; ancient shapes: , ) is an Archaic Greek alphabets, archaic letter of the Greek alphabet. It was used as an addition to the classical 24-letter alphabet in some eastern Ionic Greek, Ionic dialects of ancient Greek in the 6th and 5th centuries BC, to denote some type of a sibilant sound, probably or , and was abandoned when the sound disappeared from Greek. It later remained in use as a numeral symbol for 900 in the alphabetic ("Milet, Milesian") system of Greek numerals. Its modern shape, which resembles a π inclining to the right with a longish curved cross-stroke, developed during its use as a numeric symbol in minuscule Greek, minuscule handwriting of the Byzantine empire, Byzantine era. Its current name, ''sampi'', originally probably meant "''san pi''", i.e. "like a pi (letter), pi", and is also of medieval origin. The letter's original name in antiquity is not known. It has been proposed that sampi was a continuation of the archaic letter ''san (letter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mertens Function
In number theory, the Mertens function is defined for all positive integers ''n'' as : M(n) = \sum_^n \mu(k), where \mu(k) is the Möbius function. The function is named in honour of Franz Mertens. This definition can be extended to positive real numbers as follows: : M(x) = M(\lfloor x \rfloor). Less formally, M(x) is the count of square-free integers up to ''x'' that have an even number of prime factors, minus the count of those that have an odd number. The first 143 ''M''(''n'') values are The Mertens function slowly grows in positive and negative directions both on average and in peak value, oscillating in an apparently chaotic manner passing through zero when ''n'' has the values :2, 39, 40, 58, 65, 93, 101, 145, 149, 150, 159, 160, 163, 164, 166, 214, 231, 232, 235, 236, 238, 254, 329, 331, 332, 333, 353, 355, 356, 358, 362, 363, 364, 366, 393, 401, 403, 404, 405, 407, 408, 413, 414, 419, 420, 422, 423, 424, 425, 427, 428, ... . Because the Möbius function only ta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Triangular Number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in the triangular arrangement with dots on each side, and is equal to the sum of the natural numbers from 1 to . The first 100 terms sequence of triangular numbers, starting with the 0th triangular number, are Formula The triangular numbers are given by the following explicit formulas: where \textstyle is notation for a binomial coefficient. It represents the number of distinct pairs that can be selected from objects, and it is read aloud as " plus one choose two". The fact that the nth triangular number equals n(n+1)/2 can be illustrated using a visual proof. For every triangular number T_n, imagine a "half-rectangle" arrangement of objects corresponding to the triangular number, as in the figure below. Copying this arrangement ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nontotient
In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotient if there is no integer ''x'' that has exactly ''n'' coprimes below it. All odd numbers are nontotients, except 1, since it has the solutions ''x'' = 1 and ''x'' = 2. The first few even nontotients are this sequence: : 14, 26, 34, 38, 50, 62, 68, 74, 76, 86, 90, 94, 98, 114, 118, 122, 124, 134, 142, 146, 152, 154, 158, 170, 174, 182, 186, 188, 194, 202, 206, 214, 218, 230, 234, 236, 242, 244, 246, 248, 254, 258, 266, 274, 278, 284, 286, 290, 298, ... The least value of ''k'' such that the totient of ''k'' is ''n'' are (0 if no such ''k'' exists) are this sequence: :1, 3, 0, 5, 0, 7, 0, 15, 0, 11, 0, 13, 0, 0, 0, 17, 0, 19, 0, 25, 0, 23, 0, 35, 0, 0, 0, 29, 0, 31, 0, 51, 0, 0, 0, 37, 0, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Happy Number
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1^2+3^2=10, and 1^2+0^2=1. On the other hand, 4 is not a happy number because the sequence starting with 4^2=16 and 1^2+6^2=37 eventually reaches 2^2+0^2=4, the number that started the sequence, and so the process continues in an infinite cycle without ever reaching 1. A number which is not happy is called sad or unhappy. More generally, a b-happy number is a natural number in a given number base b that eventually reaches 1 when iterated over the perfect digital invariant function for p = 2. The origin of happy numbers is not clear. Happy numbers were brought to the attention of Reg Allenby (a British author and senior lecturer in pure mathematics at Leeds University) by his daughter, who had learned of them at school. However, they "may have originated in Russia" . Happy numbers and perfect ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centered Triangular Number
A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers. This is also the number of points of a hexagonal lattice with nearest-neighbor coupling whose distance from a given point is less than or equal to n. The following image shows the building of the centered triangular numbers by using the associated figures: at each step, the previous triangle (shown in red) is surrounded by a triangular layer of new dots (in blue). Properties *The gnomon of the ''n''-th centered triangular number, corresponding to the (''n'' + 1)-th triangular layer, is: ::C_ - C_ = 3(n+1). *The ''n''-th centered triangular number, corresponding to ''n'' layers ''plus'' the center, is given by the formula: ::C_ = 1 + 3 \frac = \frac. *Each centered triangular number has a remainder of 1 when divided by 3, and the quotient (if posi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Star Wars
''Star Wars'' is an American epic film, epic space opera media franchise created by George Lucas, which began with the Star Wars (film), eponymous 1977 film and Cultural impact of Star Wars, quickly became a worldwide popular culture, pop culture phenomenon. The franchise has been expanded into List of Star Wars films, various films and Star Wars expanded to other media, other media, including List of Star Wars television series, television series, Star Wars video games, video games, List of Star Wars books, novels, List of Star Wars comic books, comic books, List of Star Wars theme parks attractions, theme park attractions, and Star Wars: Galaxy's Edge, themed areas, comprising Universe of Star Wars, an all-encompassing fictional universe. ''Star Wars'' is one of the List of highest-grossing media franchises, highest-grossing media franchises of all time. The original 1977 film, retroactively subtitled ''Star Wars (film), Episode IV: A New Hope'', was followed by the sequels ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yoda
Yoda () is a fictional character in the ''Star Wars'' franchise. He is a small, green humanoid alien who is powerful with the Force. He first appeared in the 1980 film '' The Empire Strikes Back'', in which he is voiced and puppeteered by Frank Oz, who reprised the role in '' Return of the Jedi'' (1983), the prequel trilogy, the sequel trilogy, and the animated series '' Star Wars Rebels''. Other actors who voice Yoda are Tom Kane, Piotr Michael, John Lithgow, Tony Pope and Peter McConnell. In addition to films and television series, Yoda appears in comics, novels, video games and commercials. In the original trilogy, Yoda lives in solitude on the swamp planet Dagobah. He is introduced as a former mentor of Obi-Wan Kenobi, and he trains Luke Skywalker in the ways of the Force until his death at the age of 900. In the prequel films, Yoda leads the Jedi High Council and trains young Jedi until they are assigned to a master. When the Clone Wars break out, he becom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bowling
Bowling is a Throwing sports#Target sports, target sport and recreational activity in which a player rolls a bowling ball, ball toward Bowling pin, pins (in pin bowling) or another target (in target bowling). Most references to ''bowling'' are to pin bowling, specifically tenpin bowling, played in the United Kingdom and Commonwealth realm, Commonwealth countries. ''Bowling'' can also refer to target bowling, such as lawn bowls. Bowling is played by 120 million people in more than 90 countries, including 70 million people in the United States alone. In pin bowling, players knock over Bowling pin, pins on a long smooth surface called a ''Bowling alley, lane''. Lanes have a wood or synthetic surface with protective lubricating oil applied in different oil patterns that affect Bowling ball#Ball motion, ball motion. A strike (bowling), strike is achieved when all the pins are knocked down on the first roll, and a spare is achieved if all remaining pins are knocked over on a second ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Perfect Game (bowling)
A perfect game is the highest score possible in a game of bowling, achieved by scoring a strike with every throw. In bowling games that use 10 pins, such as ten-pin bowling, candlepin bowling, and duckpin bowling, the highest possible score is 300, achieved by bowling 12 strikes in a row in a traditional single game: one strike in each of the first nine frames, and three more in the tenth frame. In five-pin bowling, the highest possible score is 450, as a strike is worth 15 pins. It is rare to bowl or witness one. The Canadian Five Pin Bowlers Association approves from 10 to 40 perfect games per year. 300 game Certification process Before a is recognized by the certifying body of the league or tournament, a series of tests are conducted by the local or regional bowling association. First, the bowler and league (or tournament) must be in good standing with the organization. In earlier years, the bowling ball(s) used in the scoring was taken for testing (hardness, weighting ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
