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160 (number)
160 (one hundred ndsixty) is the natural number following 159 and preceding 161. In mathematics 160 is the sum of the first 11 primes, as well as the sum of the cubes of the first three primes. Given 160, the Mertens function returns 0. 160 is the smallest number ''n'' with exactly 12 solutions to the equation φ(''x'') = ''n''. In telecommunications * The number of characters permitted in a standard short message service. * The number for Dial-a-Disc (1966–1991), a telephone number operated by the General Post Office in the United Kingdom, which enabled callers to hear the latest chart hits See also * 160s * List of highways numbered 160 * United Nations Security Council Resolution 160 * United States Supreme Court cases, Volume 160 * Article 160 of the Constitution of Malaysia * Norris School District 160 School District #160 is a consolidated public school district located predominantly in Lancaster County but also extending into Gage County, Nebraska, United Stat ... [...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] |
159 (number)
159 (one hundred ndfifty-nine) is a natural number following 158 and preceding 160. In mathematics 159 is: *the sum of 3 consecutive prime numbers: 47 + 53 + 59. *a Woodall number. *equal to the sum of the squares of the digits of its own square in base 15. :Only 5 numbers (greater than 1) have this property in base 15, none in base 10. *written CLIX in Roman numeral, which spells a proper noun with multiple meanings. Given 159, the Mertens function returns 0. In astronomy * 159 Aemilia is a large Main belt asteroid * NGC 159 is a galaxy in the constellation of Phoenix *The Saros number of the solar eclipse series which will begin on May 23, 2134 and end June 17, 3378. The duration of Saros series 159 is 1244.0 years, and it will contain 70 solar eclipses *The Saros number of the lunar eclipse series, which will begin on September 9, 2147 and end November 7, 3445. The duration of Saros series 159 is 1298.1 years, and it will contain 73 lunar eclipses * 159P/LONEOS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
161 (number)
161 (one hundred ndsixty-one) is the natural number following 160 and preceding 162. In mathematics * 161 is the sum of five consecutive prime numbers: 23, 29, 31, 37, and 41 * 161 is a hexagonal pyramidal number. * 161 is a semiprime. Since its prime factors 7 and 23 are both Gaussian primes, 161 is a Blum integer. * 161 is a palindromic number * is a commonly used rational approximation of the square root of 5 and is the closest fraction with denominator 88 (88 is code for Heil Hitler among neo-nazis, as H=8) See also * Anti-Fascist Action * List of highways numbered 161 * United Nations Security Council Resolution 161 United Nations Security Council Resolution 161 was adopted on February 21, 1961. After noting the killings of Patrice Lumumba, Maurice Mpolo and Joseph Okito and a report of the United Nations Secretary-General, Secretary-General's Special Represe ... * United States Supreme Court cases, Volume 161 External links Number Facts and Trivia: 161The Numbe ... [...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] |
Euler's Phi Function
In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In other words, it is the number of integers in the range for which the greatest common divisor is equal to 1. The integers of this form are sometimes referred to as totatives of . For example, the totatives of are the six numbers 1, 2, 4, 5, 7 and 8. They are all relatively prime to 9, but the other three numbers in this range, 3, 6, and 9 are not, since and . Therefore, . As another example, since for the only integer in the range from 1 to is 1 itself, and . Euler's totient function is a multiplicative function, meaning that if two numbers and are relatively prime, then . This function gives the order (group theory), order of the multiplicative group of integers modulo n, multiplicative group of integers modulo (the Multiplicati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Short Message Service
Short Message/Messaging Service, commonly abbreviated as SMS, is a text messaging service component of most telephone, Internet and mobile device systems. It uses standardized communication protocols that let mobile devices exchange short text messages. An intermediary service can facilitate a text-to-voice conversion to be sent to landlines. SMS technology originated from radio telegraphy in radio memo pagers that used standardized phone protocols. These were defined in 1986 as part of the Global System for Mobile Communications (GSM) series of standards.GSM Doc 28/85 "Services and Facilities to be provided in the GSM System" rev2, June 1985 The first SMS message was sent on 3 December 1992, when Neil Papworth, a test engineer for Sema Group, sent "Merry Christmas" to the Orbitel 901 phone of colleague Richard Jarvis. SMS rolled out commercially on many cellular networks that decade and became hugely popular worldwide as a method of text communication. By the end of 2010, SMS ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Post Office
The General Post Office (GPO) was the state postal system and telecommunications carrier of the United Kingdom until 1969. Before the Acts of Union 1707, it was the postal system of the Kingdom of England, established by Charles II in 1660. Similar General Post Offices were established across the British Empire. In 1969 the GPO was abolished and the assets transferred to The Post Office, changing it from a Department of State to a statutory corporation. In 1980, the telecommunications and postal sides were split prior to British Telecommunications' conversion into a totally separate publicly owned corporation the following year as a result of the British Telecommunications Act 1981. For the more recent history of the postal system in the United Kingdom, see the articles Royal Mail and Post Office Ltd. Originally, the GPO was a state monopoly covering the dispatch of items from a specific sender to a specific receiver, which was to be of great importance when new forms of co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
160s
The 160s decade ran from January 1, 160, to December 31, 169. Significant people * Marcus Aurelius, Roman Emperor * Lucius Verus, Roman Emperor * Commodus (b. 161 Year 161 ( CLXI) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Caesar and Aurelius (or, less frequently, year 914 '' Ab urbe condi ...) References {{reflist, refs= {{cite book , last = Potter , first = D. , title = Emperors of Rome: the story of imperial Rome from Julius Caesar to the last emperor , publisher = Quercus , year = 2009 , url = https://books.google.com/books?id=Sn4bAQAAMAAJ , access-date = 28 August 2018 , page = 91 , quote = ... So began the joint reign of Marcus Aurelius (ad 121-180) and Lucius Verus (ad 130-169), an event unparalleled in ... ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Highways Numbered 160
The following highways are numbered 160: Australia * Glenelg Highway Canada * New Brunswick Route 160 * Prince Edward Island Route 160 (Ascension Road) Costa Rica * National Route 160 (Costa Rica), National Route 160 India * National Highway 160 (India) Japan * Japan National Route 160 United States * U.S. Route 160 * Alabama State Route 160 * Arizona State Route 160 (former) * Arkansas Highway 160 * California State Route 160 * Connecticut Route 160 * Georgia State Route 160 (former) *Hawaii Route 160 * Illinois Route 160 * Indiana State Road 160 * Iowa Highway 160 * Kentucky Route 160 * Louisiana Highway 160 * Maine State Route 160 * M-160 (Michigan highway) (former) * Nevada State Route 160 * New Jersey Route 160 (former) * New York State Route 160 * North Carolina Highway 160 * Ohio State Route 160 * Pennsylvania Route 160 * South Carolina Highway 160 * Tennessee State Route 160 * Texas State Highway 160 ** Texas State Highway Loop 160 ** Farm to Market Road 160 * Utah Sta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United Nations Security Council Resolution 160
United Nations Security Council Resolution 160, adopted on October 7, 1960, after examining the application of the Federation of Nigeria for membership in the United Nations the Council recommended to the General Assembly that the Federation of Nigeria be admitted. The resolution was adopted unanimously by all 11 members of the Council. 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 * 0160 History of Nigeria Foreign relations of Nigeria 0160 1960 in Nigeria 0160 October 1960 events {{UN-resolution-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of United States Supreme Court Cases, Volume 160
This is a list of cases reported in volume 160 of ''United States Reports'', decided by the Supreme Court of the United States in 1895 and 1896. Justices of the Supreme Court at the time of volume 160 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 160 were decided the Court comprised the following nine members: Citation style Under the Judiciary Act of 1789 the federal court structure at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Article 160 Of The Constitution Of Malaysia
Article 160 of the Constitution of Malaysia defines various terms used in the Constitution. It has an important impact on Islam in Malaysia and the Malay people due to its definition of a Malay person under clause 2. It took effect after 31 August 1957 ("Merdeka Day" or " Independence Day") in the Federation of Malaya (now Peninsular Malaysia), and took effect in Singapore and East Malaysia when they merged with Malaya in 1963 to jointly form Malaysia. Although the article no longer applies to Singapore since its separation from Malaysia in 1965, it does affect the legal status of Malay Singaporeans when they enter Malaysia. Definition of a Malay The article defines a “Malay” as a person who professes the religion of Islam, habitually speaks the Malay language, and conforms to Malay custom. They should also be a person who is (a) born before Merdeka Day in the Federation or in Singapore or born of parents one of whom was born in the Federation or in Singapore, or is on that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
