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729 (number)
700 (seven hundred) is the natural number following 699 and preceding 701. It is the sum of four consecutive primes (167 + 173 + 179 + 181), the perimeter of a Pythagorean triangle (75 + 308 + 317) and a Harshad number. Integers from 701 to 799 Nearly all of the palindromic integers between 700 and 800 are used as model numbers for Boeing Commercial Airplanes, and the only one not officially used by Boeing, 797, is commonly speculated to be the number of the next new Boeing commercial airplane. 700s * 701 = prime number, sum of three consecutive primes (229 + 233 + 239), Chen prime, Eisenstein prime with no imaginary part * 702 = 2 × 33 × 13, pronic number, nontotient, Harshad number * 703 = 19 × 37, triangular number, hexagonal number, smallest number requiring 73 fifth powers for Waring representation, Kaprekar number, area code for Northern Virginia along with 571, a number commonly found in the formula for body mass index * 704 = 26 × 11, Harshad number, lazy cater ... [...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] |
Body Mass Index
Body mass index (BMI) is a value derived from the mass (weight) and height of a person. The BMI is defined as the body mass divided by the square of the body height, and is expressed in units of kg/m2, resulting from mass in kilograms and height in metres. The BMI may be determined using a table or chart which displays BMI as a function of mass and height using contour lines or colours for different BMI categories, and which may use other units of measurement (converted to metric units for the calculation). The BMI is a convenient rule of thumb used to broadly categorize a person as ''underweight'', ''normal weight'', ''overweight'', or ''obese'' based on tissue mass (muscle, fat, and bone) and height. Major adult BMI classifications are underweight (under 18.5 kg/m2), normal weight (18.5 to 24.9), overweight (25 to 29.9), and obese (30 or more). When used to predict an individual's health, rather than as a statistical measurement for groups, the BMI has limitations ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mezuzah
A ''mezuzah'' ( he, מְזוּזָה "doorpost"; plural: ''mezuzot'') is a piece of parchment, known as a ''klaf'', contained in a decorative case and inscribed with specific Hebrew verses from the Torah ( and ). These verses consist of the Jewish prayer ''Shema Yisrael'', beginning with the phrase: "Hear, O Israel, the (is) our God, the is One". In mainstream Rabbinic Judaism, a ''mezuzah'' is affixed to the doorpost of Jewish homes to fulfill the mitzvah (Biblical commandment) to "write the words of God on the gates and doorposts of your house" (). Some interpret Jewish law to require a ''mezuzah'' in every doorway in the home except bathrooms (which are not a living space), laundry rooms and closets, if they are too small to qualify as rooms. The ''klaf'' is prepared by a qualified scribe ("'' sofer stam'') who has undergone training, both in studying the relevant religious laws, and in the more practical parts (i.e. carving the quill and practising writing). The verses ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Judaism
Judaism ( he, ''Yahăḏūṯ'') is an Abrahamic, monotheistic, and ethnic religion comprising the collective religious, cultural, and legal tradition and civilization of the Jewish people. It has its roots as an organized religion in the Middle East during the Bronze Age. Modern Judaism evolved from Yahwism, the religion of ancient Israel and Judah, by the late 6th century BCE, and is thus considered to be one of the oldest monotheistic religions. Judaism is considered by religious Jews to be the expression of the covenant that God established with the Israelites, their ancestors. It encompasses a wide body of texts, practices, theological positions, and forms of organization. The Torah, as it is commonly understood by Jews, is part of the larger text known as the ''Tanakh''. The ''Tanakh'' is also known to secular scholars of religion as the Hebrew Bible, and to Christians as the " Old Testament". The Torah's supplemental oral tradition is represented by later texts s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Houston, TX
Houston (; ) is the most populous city in Texas, the most populous city in the Southern United States, the fourth-most populous city in the United States, and the sixth-most populous city in North America, with a population of 2,304,580 in 2020. Located in Southeast Texas near Galveston Bay and the Gulf of Mexico, it is the seat and largest city of Harris County and the principal city of the Greater Houston metropolitan area, which is the fifth-most populous metropolitan statistical area in the United States and the second-most populous in Texas after Dallas–Fort Worth. Houston is the southeast anchor of the greater megaregion known as the Texas Triangle. Comprising a land area of , Houston is the ninth-most expansive city in the United States (including consolidated city-counties). It is the largest city in the United States by total area whose government is not consolidated with a county, parish, or borough. Though primarily in Harris County, small portions of the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Area Codes 281, 713, And 832
Area codes 713, 281, 832, and 346 are telephone area codes in the North American Numbering Plan (NANP) forming an overlay complex for Houston, Texas and its environs. Area code 713 is one of the original four area codes established for Texas in 1947. History When the North American Numbering Plan was established in 1947, Texas was divided into four numbering plan areas (NPAs), roughly outlining four quadrants in the state. Area code 713 was assigned to the southeastern part, from the Sabine River to the Brazos Valley. On March 19, 1983, the numbering plan area was divided for the first time. The immediate Houston area retained area code 713, while the northern, eastern and western portions became area code 409. On November 2, 1996, area code 713 was split again, with most of Houston's suburbs switching to area code 281. The dividing line roughly followed Beltway 8. Generally, the majority of Houston itself and most of the suburbs inside the beltway kept area code 713, while 28 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Blum Integer
In mathematics, a natural number ''n'' is a Blum integer if is a semiprime for which ''p'' and ''q'' are distinct prime numbers congruent to 3 mod 4.Joe Hurd, Blum Integers (1997), retrieved 17 Jan, 2011 from http://www.gilith.com/research/talks/cambridge1997.pdf That is, ''p'' and ''q'' must be of the form , for some integer ''t''. Integers of this form are referred to as Blum primes. Goldwasser, S. and Bellare, M.br>"Lecture Notes on Cryptography". Summer course on cryptography, MIT, 1996-2001 This means that the factors of a Blum integer are Gaussian primes with no imaginary part. The first few Blum integers are : 21, 33, 57, 69, 77, 93, 129, 133, 141, 161, 177, 201, 209, 213, 217, 237, 249, 253, 301, 309, 321, 329, 341, 381, 393, 413, 417, 437, 453, 469, 473, 489, 497, ... The integers were named for computer scientist Manuel Blum. Properties Given a Blum integer, ''Q''''n'' the set of all quadratic residues modulo ''n'' and coprime to ''n'' and . Then: *''a'' has f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telecommunications Relay Service
A telecommunications relay service, also known as TRS, relay service, or IP-relay, or Web-based relay service, is an operator service that allows people who are deaf, hard of hearing, deafblind, or have a speech disorder to place calls to standard telephone users via a keyboard or assistive device. Originally, relay services were designed to be connected through a TDD, teletypewriter (TTY) or other assistive telephone device. Services gradually have expanded to include almost any real-time text capable technology such as a personal computer, laptop, mobile phone, PDA, and many other devices. The first TTY was invented by deaf scientist Robert Weitbrecht in 1964. The first relay service was established in 1974 by Converse Communications of Connecticut. Types of services available Depending on the technical and physical abilities and physical environments of users, different call types are possible via relay services. TTY to voice/voice to TTY Once the most common type of TRS c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Happy Number
In number theory, a happy number is a number which eventually reaches 1 when 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 digital invaria ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boeing 707
The Boeing 707 is an American, long-range, narrow-body airliner, the first jetliner developed and produced by Boeing Commercial Airplanes. Developed from the Boeing 367-80 prototype first flown in 1954, the initial first flew on December 20, 1957. Pan American World Airways began regular 707 service on October 26, 1958. With versions produced until 1979, the 707 was a swept wing, quadjet with podded engines. Its larger fuselage cross-section allowed six-abreast economy seating, retained in the later 720, 727, 737, and 757 models. Although it was not the first commercial jetliner in service, the 707 was the first to be widespread and is often credited with beginning the Jet Age. It dominated passenger air transport in the 1960s, and remained common through the 1970s, on domestic, transcontinental, and transatlantic flights, as well as cargo and military applications. It established Boeing as a dominant airliner manufacturer with its 7x7 series. The initial, was powered ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Palindromic Number
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16461) that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis. The term ''palindromic'' is derived from palindrome, which refers to a word (such as ''rotor'' or ''racecar'') whose spelling is unchanged when its letters are reversed. The first 30 palindromic numbers (in decimal) are: : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, … . Palindromic numbers receive most attention in the realm of recreational mathematics. A typical problem asks for numbers that possess a certain property ''and'' are palindromic. For instance: * The palindromic primes are 2, 3, 5, 7, 11, 101, 131, 151, ... . * The palindromic square numbers are 0, 1, 4, 9, 121, 484, 676, 10201, 12321, ... . It is obvious that in any base there are infinitely many palindr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smith Number
In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its prime factorization in the given number base. In the case of numbers that are not square-free, the factorization is written without exponents, writing the repeated factor as many times as needed. Smith numbers were named by Albert Wilansky of Lehigh University, as he noticed the property in the phone number (493-7775) of his brother-in-law Harold Smith: : 4937775 = 31 52 658371 while : 4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 · 1 + 5 · 2 + (6 + 5 + 8 + 3 + 7) · 1 = 42 in base 10.Sándor & Crstici (2004) p.383 Mathematical definition Let n be a natural number. For base b > 1, let the function F_(n) be the digit sum of n in base b. A natural number n has the integer factorisation : n = \prod_ p^ and is a Smith number if : F_b(n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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