|
170 (number)
170 (one hundred ndseventy) is the natural number following 169 and preceding 171. In mathematics 170 is the smallest ''n'' for which φ(''n'') and σ(''n'') are both square (64 and 324 respectively). But 170 is never a solution for φ(''x''), making it a nontotient. Nor is it ever a solution to ''x'' - φ(''x''), making it a noncototient. 170 is a repdigit in base 4 (2222) and base 16 (AA), as well as in bases 33, 84, and 169. It is also a sphenic number. 170 is the largest integer for which its factorial can be stored in IEEE 754 double-precision floating-point format. This is probably why it is also the largest factorial that Google's built-in calculator will calculate, returning the answer as 170! = 7.25741562 × 10306. There are 170 different cyclic Gilbreath permutations on 12 elements, and therefore there are 170 different real periodic points of order 12 on the Mandelbrot set.. See also * 170s * E170 (other) * F170 (other) * List of highways numbe ... [...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] |
Cyclic Permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set ''X'' which maps the elements of some subset ''S'' of ''X'' to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of ''X''. If ''S'' has ''k'' elements, the cycle is called a ''k''-cycle. Cycles are often denoted by the list of their elements enclosed with parentheses, in the order to which they are permuted. For example, given ''X'' = , the permutation (1, 3, 2, 4) that sends 1 to 3, 3 to 2, 2 to 4 and 4 to 1 (so ''S'' = ''X'') is a 4-cycle, and the permutation (1, 3, 2) that sends 1 to 3, 3 to 2, 2 to 1 and 4 to 4 (so ''S'' = and 4 is a fixed element) is a 3-cycle. On the other hand, the permutation that sends 1 to 3, 3 to 1, 2 to 4 and 4 to 2 is not a cyclic permutation because it separately permutes the pairs and . The set ''S'' is called the orbit of the cycle. Every permutation on finitely many elemen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United Nations Security Council Resolution 170
United Nations Security Council Resolution 170, adopted unanimously on December 14, 1961, examined the application of Tanganyika for membership in the United Nations. The Council recommended to the General Assembly that Tanganyika be admitted. See also *List of United Nations Security Council Resolutions 101 to 200 This is a list of United Nations Security Council Resolutions 101 to 200 adopted between 24 November 1953 and 15 March 1965. See also * Lists of United Nations Security Council resolutions * List of United Nations Security Council Resoluti ... (1953–1965) ReferencesText of the Resolution at undocs.org External links * 0170 History of Tanganyika Politics of Tanganyika 0170 0170 1961 in Tanganyika December 1961 events {{UN-resolution-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of United States Supreme Court Cases, Volume 170
This is a list of cases reported in volume 170 of ''United States Reports'', decided by the Supreme Court of the United States in 1898. Justices of the Supreme Court at the time of volume 170 U.S. The Supreme Court is established by Article III, Section 1 of the Constitution of the United States, which says: "The judicial Power of the United States, shall be vested in one supreme Court . . .". The size of the Court is not specified; the Constitution leaves it to Congress to set the number of justices. Under the Judiciary Act of 1789 Congress originally fixed the number of justices at six (one chief justice and five associate justices). Since 1789 Congress has varied the size of the Court from six to seven, nine, ten, and back to nine justices (always including one chief justice). When the cases in volume 170 were decided the Court comprised the following nine members: Notable Case in 170 U.S. ''Williams v. Mississippi'' In '' Williams v. Mississippi'' 170 U.S. 21 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Highways Numbered 170
The following highways are numbered 170: Canada * New Brunswick Route 170 * Prince Edward Island Route 170 * Quebec Route 170 Costa Rica * National Route 170 Japan * Japan National Route 170 United States * Interstate 170 (Missouri) * Interstate 170 (Maryland) (former) * U.S. Route 170 (former) * Alabama State Route 170 * Arizona State Route 170 (former) * Arkansas Highway 170 * California State Route 170 * Colorado State Highway 170 * Georgia State Route 170 (former) * Illinois Route 170 * K-170 (Kansas highway) * Kentucky Route 170 * Louisiana Highway 170 * Maine State Route 170 * Maryland Route 170 * M-170 (Michigan highway) (former) * Nevada State Route 170 * New Jersey Route 170 (former) * New Mexico State Road 170 * New York State Route 170 ** New York State Route 170A * Ohio State Route 170 * Pennsylvania Route 170 * South Carolina Highway 170 * Tennessee State Route 170 * Texas State Highway 170 ** Texas State Highway Loop 170 ** Farm to Market Road 170 * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
F170 (other)
F170 may refer to : * Farman F.170 Jabiru The Farman F.170 Jabiru was a 1925 single-engine airliner evolved from the F.121 Jabiru, built by the Farman Aviation Works. Design and development The F.170 Jabiru was a single-engine evolution of the 1923 F.3X/ F.121. In the early 1920s, ther ..., a 1925 single-engine airliner * HMS ''Antelope'' (F170), a 1971 Type 21 frigate of the Royal Navy that participated in the Falklands War * 70th Anniversary Grand Prix, a 2020 Formula 1 round. {{Letter-NumberCombDisambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
E170 (other)
E170 may refer to: * Model E-170 Regional Jet, see Embraer E-Jets * The E number of a food additive or colouring for calcium carbonate or chalk Chalk is a soft, white, porous, sedimentary carbonate rock. It is a form of limestone composed of the mineral calcite and originally formed deep under the sea by the compression of microscopic plankton that had settled to the sea floor. Chalk ... * Toyota Corolla (E170), a car {{Letter-NumberCombDisambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
170s
The 170s decade ran from January 1, 170, to December 31, 179. Significant people * Marcus Aurelius, Roman Emperor * Caerellius Priscus, governor of Roman Britain Roman Britain was the period in classical antiquity when large parts of the island of Great Britain were under occupation by the Roman Empire. The occupation lasted from AD 43 to AD 410. During that time, the territory conquered was ... References {{DEFAULTSORT:170s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mandelbrot Set
The Mandelbrot set () is the set of complex numbers c for which the function f_c(z)=z^2+c does not diverge to infinity when iterated from z=0, i.e., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York. Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, one would say that the boundary of the Mandelbrot set is a ''fractal curve''. The "style" of this recursive detail depends on the region of the set boundary being examined. Mandelbrot set images may be created by sampling the complex numbers and testing, for each ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Real Number
In mathematics, a real number is a number that can be used to measure a ''continuous'' one-dimensional quantity such as a distance, duration or temperature. Here, ''continuous'' means that values can have arbitrarily small variations. Every real number can be almost uniquely represented by an infinite decimal expansion. The real numbers are fundamental in calculus (and more generally in all mathematics), in particular by their role in the classical definitions of limits, continuity and derivatives. The set of real numbers is denoted or \mathbb and is sometimes called "the reals". The adjective ''real'' in this context was introduced in the 17th century by René Descartes to distinguish real numbers, associated with physical reality, from imaginary numbers (such as the square roots of ), which seemed like a theoretical contrivance unrelated to physical reality. The real numbers include the rational numbers, such as the integer and the fraction . The rest of the real number ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gilbreath Permutation
A Gilbreath shuffle is a way to shuffle a deck of cards, named after mathematician Norman Gilbreath (also known for Gilbreath's conjecture). Gilbreath's principle describes the properties of a deck that are preserved by this type of shuffle, and a Gilbreath permutation is a permutation that can be formed by a Gilbreath shuffle.. Description A Gilbreath shuffle consists of the following two steps: *Deal off any number of the cards from the top of the deck onto a new pile of cards. *Riffle the new pile with the remainder of the deck. It differs from the more commonly used procedure of cutting a deck into two piles and then riffling the piles, in that the first step of dealing off cards reverses the order of the cards in the new pile, whereas cutting the deck would preserve this order. Gilbreath's principle Although seemingly highly random, Gilbreath shuffles preserve many properties of the initial deck. For instance, if the initial deck of cards alternates between black and red card ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Calculator
An electronic calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom. Modern electronic calculators vary from cheap, give-away, credit-card-sized models to sturdy desktop models with built-in printers. They became popular in the mid-1970s as the incorporation of integrated circuits reduced their size and cost. By the end of that decade, prices had dropped to the point where a basic calculator was affordable to most and they became common in schools. Computer operating systems as far back as early Unix have included interactive calculator programs such as dc and hoc, and interactive BASIC could be used to do calculations on most 1970s a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
