"records. Heartaches by the Number ""Heartaches by the Number"" is a popular country song written by Harlan Howard and published in 1959. Sheet music for the song was a best seller in both the US and Britain in January 1960. The biggest hit version was recorded by Guy Mitchell on August 24, 1959. It reached the #1 spot on the ""Billboard"" Hot 100 for the weeks of December 14 and December 21, 1959. The recording was released by Columbia Records as catalog number 41476. This would be Mitchell's second pop chart topper (after ""Singing the Blues""); it was also his"
"Googolplex A googolplex is the number 10, or equivalently, 10. Written out in ordinary decimal notation, it is 1 followed by 10 zeroes, that is, a 1 followed by a googol zeroes. In 1920, Edward Kasner's nine-year-old nephew, Milton Sirotta, coined the term ""googol"", which is 10, then proposed the further term ""googolplex"" to be ""one, followed by writing zeroes until you get tired"". Kasner decided to adopt a more formal definition because ""different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance"
"no suit was ever filed. Since October 2009, Google has been assigning domain names to its servers under the domain ""1e100.net"", the scientific notation for 1 googol, in order to provide a single domain to identify servers across the Google network. The word is notable for being the subject of the £1 million question in a 2001 episode of the British quiz show ""Who Wants to Be a Millionaire?"", when contestant Charles Ingram cheated his way through the show with the help of an accomplice. Googol A googol is the large number 10. In decimal notation, it is written as"
"followed by the 333-bit binary representation of 1 googol, which is 10010 01001001 10101101 00100101 10010100 11000011 01111100 11101011 00001011 00100111 10000100 11000100 11001110 00001011 11110011 10001010 11001110 01000000 10001110 00100001 00011010 01111100 10101010 10110010 01000011 00001000 10101000 00101110 10001111 00010000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 00000000 and a trailing 0, for a total of 349 bits. A googol to the hundredth power (10) is a 33220-bit binary number. Its omega encoding is 33,243 bits long: 11 1111 1000000111000100 (22 bits), followed by 33,220 bits of the value, and a trailing 0. Under Elias"
"be determined based on its Latin name-prefix using the following formula: 10 Examples: billionth = 10 = 10 ; quintillionth = 10 = 10 The number googol is 10. The term was coined by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner, popularized in his 1940 book ""Mathematics and the Imagination"", it was used to compare and illustrate very large numbers. Googolplex, a much larger power of ten (10 to the googol power, or 10), was also introduced in that book. Scientific notation is a way of writing numbers of very large and very small sizes compactly when precision"
"of ""Googol,"" derived from a number that consists of one followed by one hundred zeros—representing the vast amount of data that the search engine was intended to explore. Following inception, Page appointed himself as CEO, while Brin, named Google's co-founder, served as Google's president. Writer Nicholas Carlson wrote in 2014: While Google is often thought of as the invention of two young computer whizzes—Sergey and Larry, Larry and Sergey—the truth is that Google is a creation of Larry Page, helped along by Sergey Brin. The pair's mission was ""to organize the world's information and make it universally accessible and useful."""
"values. To code a number ""N"": To decode an Elias omega-coded integer: Omega codes can be thought of as a number of ""groups"". A group is either a single 0 bit, which terminates the code, or two or more bits beginning with 1, which is followed by another group. The first few codes are shown below. Included is the so-called ""implied distribution"", describing the distribution of values for which this coding yields a minimum-size code; see Relationship of universal codes to practical compression for details. The encoding for 1 googol, 10, is 11 1000 101001100 (15 bits of length header)"
"in a black hole with a mass roughly equivalent to the Andromeda Galaxy is in the range of a googolplex. Writing the number would take an extreme amount of time: if a person can write two digits per second, then writing a googolplex would take about 1.51 years, which is about 1.1 times the accepted age of the universe. The residues (mod ""n"") of a googolplex are: Googolplex A googolplex is the number 10, or equivalently, 10. Written out in ordinary decimal notation, it is 1 followed by 10 zeroes, that is, a 1 followed by a googol zeroes. In"
"equal 10 grains. Another 100,000 observable universes filled with sand would be necessary to make a googol. The decay time for a supermassive black hole of roughly 1 galaxy-mass (10 solar masses) due to Hawking radiation is on the order of 10 years. Therefore, the heat death of an expanding universe is lower-bounded to occur a googol years in the future. A googol is approximately ""70!"" (factorial of 70). Using an integral, binary numeral system, one would need 333 bits to represent a googol, i.e., 1 googol ≈ 2, or exactly formula_1. However, a googol is well within the maximum"
"proposed that ""N-minex"" be used as a name for 10, giving rise to the name ""googolminex"" for the reciprocal of a googolplex. None of these names are in wide use, nor are any currently found in dictionaries. The names ""googol"" and ""googolplex"" inspired the name of the Internet company Google and its corporate headquarters, the Googleplex, respectively. This section illustrates several systems for naming large numbers, and shows how they can be extended past ""vigintillion"". Traditional British usage assigned new names for each power of one million (the long scale): ; ; ; and so on. It was adapted from"
"0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, ... The n digit of the word is formula_13 where formula_14 is the golden ratio and formula_15"
"that it was no more than ""one thousand myriad of the eighth numbers"" (10). Since then, many others have engaged in the pursuit of conceptualizing and naming numbers that really have no existence outside the imagination. One motivation for such a pursuit is that attributed to the inventor of the word ""googol"", who was certain that any finite number ""had to have a name"". Another possible motivation is competition between students in computer programming courses, where a common exercise is that of writing a program to output numbers in the form of English words. Most names proposed for large numbers"
"bounds of an IEEE 754 double-precision floating point type, but without full precision in the mantissa. Using modular arithmetic, the series of residues (mod ""n"") of one googol is found: Widespread sounding of the word occurs through the name of the company Google, with the name ""Google"" being an accidental misspelling of ""googol"" by the company's founders, which was picked to signify that the search engine was intended to provide large quantities of information. In 2004, family members of Kasner, who had inherited the right to his book, were considering suing Google for their use of the term googol; however,"
"listed in Robert Munafo's table of such unofficial names is milli-millillion, which was coined as a name for 10 to the 3,000,003rd power. The googolplex has often been cited as the largest named number in English. If a googol is ten to the one hundredth power, then a googolplex is one followed by a googol of zeros (that is, ten to the power of a googol). There is the coinage, of very little use, of ten to the googolplex power, of the word googolplexplex. The terms ""arab"", ""kharab"", ""padm"" and ""shankh"" are more commonly found in old books on Indian"
"at this location ever since, and the complex has since become known as the Googleplex (a play on the word googolplex, a number that is equal to 1 followed by a googol of zeros). In 2006, Google bought the property from SGI for US$319 million. The Google search engine attracted a loyal following among the growing number of Internet users, who liked its simple design. In 2000, Google began selling advertisements associated with search keywords. The ads were text-based to maintain an uncluttered page design and to maximize page loading speed. Keywords were sold based on a combination of price"
"there are several notational methods for representing large numbers by which the magnitude of a googolplex could be represented, such as tetration, hyperoperation, Knuth's up-arrow notation, Steinhaus–Moser notation, or Conway chained arrow notation. In the PBS science program """", , astronomer and television personality Carl Sagan estimated that writing a googolplex in full decimal form (i.e., ""10,000,000,000..."") would be physically impossible, since doing so would require more space than is available in the known universe. One googol is presumed to be greater than the number of atoms in the observable universe, which has been estimated to be approximately 10. Thus,"
"count leading zeros (clz) or number of leading zeros (nlz), which counts the number of zero bits preceding the most significant one bit. These four operations also have negated versions: There are two common variants of find first set, the POSIX definition which starts indexing of bits at 1, herein labelled ffs, and the variant which starts indexing of bits at zero, which is equivalent to ctz and so will be called by that name. Given the following 32-bit word: The count trailing zeros operation would return 3, while the count leading zeros operation returns 16. The count leading zeros"
"Leading zero A leading zero is any 0 digit that comes before the first nonzero digit in a number string in positional notation. For example, James Bond's famous identifier, 007, has two leading zeros. When leading zeros occupy the most significant digits of an integer, they could be left blank or omitted for the same numeric value. Therefore, the usual decimal notation of integers does not use leading zeros except for the zero itself, which would be denoted as an empty string otherwise. However, in decimal fractions strictly between −1 and 1, the leading zeros digits between the decimal point"
"the constant, where 0 indicates floating point, 1 integer, 2 boolean, 3 function name, and 4 statement label. For GOM six additional modes are added: CHARACTER, SHORT INTEGER, BYTE INTEGER, LONG INTEGER, POINTER, and DYNAMIC RECORD. Alphabetic or character constants are stored as integers and written using the dollar sign as a delimiter ($ABCDEF$) with double dollar-signs used to enter a true dollar sign ($$$.56$ is 56 cents). Strings longer than six characters are represented using arrays. Variables may be implicitly or explicitly declared. By default all implicitly declared variables are assumed to be floating point. The NORMAL MODE IS"
"purchasing thousands of backlinks (often on unrelated sites), JCPenney dominated Google's SERP across many clothing related queries, and even queries specifying a brand (JCPenney topped Samsonite for the query ""Samsonite carryon luggage""). Given Google's previous updates and their emphasis on backlink analysis, the JCPenney incident revealed that flaws still existed within the Google ranking algorithm. Google quickly demoted JCPenney's search position, crippling online sales. Google has since lifted the demotion. The name ""Google"" originated from a misspelling of ""googol"", which refers to the number represented by a 1 followed by one-hundred zeros. Page and Brin write in their original paper"
"left to right as in the example below. 12,345,678 (written in Romanian 12.345.678) = ""douăsprezece milioane trei sute patruzeci și cinci de mii șase sute șaptezeci și opt"" When a digit is zero, the corresponding quantity is simply not pronounced: 101,010 (written in Romanian 101.010) = ""o sută una mii zece"" In writing, the groups of three digits are separated by dots. The comma is used as decimal separator. This may be confusing for native English speakers, who use the two symbols the other way around. Numbers represented as decimal fractions (for example ""1.62"") are expressed by reading in order"
"the number 0 is often read as the letter ""o"" (""oh""). For example, when dictating a telephone number the series of digits ""1070"" may be spoken as ""one zero seven zero"" or as ""one oh seven oh"". In certain context zero and nothing are interchangeable as is ""null"". Sporting terms are sometimes used as slang terms for zero as are ""nada"", ""zilch"" and ""zip"". ""Zero"" and ""cipher"" are both names for the number 0, but the use of ""cipher"" for the number is rare and only literary in English today. They are doublets, which means they have entered the language"
"Geometry upon a Quadric Surface""; it was published by the American Mathematical Society in 1900 in their ""Transactions"". Kasner is perhaps best remembered today for introducing the term ""googol."" In order to pique the interest of children, Kasner sought a name for a very large number: one followed by a hundred zeros. On a walk in the New Jersey Palisades with his nephews, Milton (1911-1981) and Edwin Sirotta, Kasner asked for their ideas. Nine-year-old Milton suggested ""googol"". In 1940, with James R. Newman, Kasner co-wrote a non-technical book surveying the field of mathematics, called ""Mathematics and the Imagination"" (). It"
"was filed for alleged ""no cold call"" agreements which restrained the recruitment of high-tech employees. The stock performed well after the IPO, with shares hitting $350 for the first time on October 31, 2007, primarily because of strong sales and earnings in the online advertising market. The surge in stock price was fueled mainly by individual investors, as opposed to large institutional investors and mutual funds. GOOG shares split into GOOG class C shares and GOOGL class A shares. The company is listed on the NASDAQ stock exchange under the ticker symbols GOOGL and GOOG, and on the Frankfurt Stock"
"the verb ""to google"" has entered a number of languages (first as a slang verb and now as a standard word), meaning ""to perform a web search"" (a possible indication of ""Google"" becoming a genericized trademark). After the IPO, Google's stock market capitalization rose greatly and the stock price more than quadrupled. On August 19, 2004 the number of shares outstanding was 172.85 million while the ""free float"" was 19.60 million (which makes 89% held by insiders). Google has a dual class stock structure in which each Class B share gets ten votes compared to each Class A share getting"
"1948. He is also credited for coining and first describing the mathematical concept ""googol"" in his book (co-authored by Edward Kasner) ""Mathematics and The Imagination"". In 1940 Newman wrote (with Edward Kasner) ""Mathematics and the Imagination"" in which he identified the mathematical concept of a very large but finite number, which he called ""googol"" and another large number called ""googolplex"" — this was the first time this number, and this term, were identified. In 1942 Newman wrote ""The Tools of War"", which was an illustrated examination of warfare. In 1948 he published ""The control of atomic energy"". In 1955 he"
"the symbol ""0"" is 6 and the Gödel number for the symbol ""="" is 5. Thus, in their system, the Gödel number of the formula ""0 = 0"" is 2 × 3 × 5 = 243,000,000. A Gödel numbering is not unique, in that for any proof using Gödel numbers, there are infinitely many ways in which these numbers could be defined. For example, supposing there are ""K"" basic symbols, an alternative Gödel numbering could be constructed by invertibly mapping this set of symbols (through, say, an invertible function ""h"") to the set of digits of a bijective base-""K"" numeral"
"is ""Null"". (Although whether the first letter of number names should be capitalized – like all nouns are – or not is disputed.) The name of the number 0 in Greek is ""μηδέν"" /miːðɛn/, literally meaning ""not even one"". The name of the number 0 in Gujarati is ""શૂન્ય"" (Śūn'ya). The name of the number 0 in Haitian Creole is ""zewo"". In Hebrew, zero is called אֶפֶס (""efes""). The name of the number 0 in Indonesian language is ""nol"" /nɔl/, adopted from the Dutch word nul. In addition, people often pronounce it as ""kosong"" /kɔsɔŋ/, literally meaning 'empty', when spelling"
"number, the digits are split into 3 groups; the first digit, the first group of 6 and the last group of 6. The first group of 6 is encoded using a pattern whereby each digit has two possible encodings, one of which has even parity (denoted with letter G) and one of which has odd parity (denoted with letter L). The first digit is encoded indirectly, by selecting a pattern of choices between these two encodings for the first group of 6 digits, according to the table below. (Unlike the other digits, the first digit is not represented directly by"
"and occurs in formal contexts including technical jargon (e.g. ""nil by mouth"") and voting results. In spoken English, the number 0 is often read as the letter ""o"", often spelled oh. This is especially the case when the digit occurs within a list of other digits. Whereas one might say that ""a million is expressed in base ten as a one followed by six zeroes"", the series of digits ""1070"" can be read as ""one zero seven zero"", or ""one oh seven oh"". This is particularly true of telephone numbers (for example 867-5309, which can be said as ""eight-six-seven-five-three-oh-nine""). Another"
"as the Googleplex, a play on the word googolplex, the number one followed by a googol zeroes. The Googleplex interiors were designed by Clive Wilkinson Architects. Three years later, Google bought the property from SGI for $319 million. By that time, the name ""Google"" had found its way into everyday language, causing the verb ""google"" to be added to the ""Merriam-Webster Collegiate Dictionary"" and the ""Oxford English Dictionary"", denoted as: ""to use the Google search engine to obtain information on the Internet"". The first use of ""Google"" as a verb in pop culture happened on the TV series ""Buffy the"
"the last number to be written as a word, and 13 the first to be written using digits. This is not a binding rule, and in English language tradition, it is sometimes recommended to spell out numbers up to and including either ""nine"", ""ten"" or ""twelve"", or even ""ninety-nine"" or ""one hundred"". Another system spells out all numbers written in one or two words (""sixteen"", ""twenty-seven"", ""fifteen thousand"", but ""372"" or ""15,001""). In German orthography, there used to be the widely followed (but unofficial) rule of spelling out numbers up to twelve (""zwölf""). The Duden (the German standard dictionary) mentions"
"Kasner agreed, and in 1940, he introduced the words ""googol"" and ""googolplex"" in his book, ""Mathematics and the Imagination"". Milton Sirotta died in 1980. This is the term that Larry Page and Sergey Brin had in mind when they named their company in 1998, but they intentionally misspelled ""googol"" as ""google,"" bringing it back full circle to Vickers' form. In 2002, when Page set up a scanning device at Google to test how fast books could be scanned, the first book he scanned was Vickers' ""The Google Book"". DeBeck, who had a gift for coining colorful terms, is credited with"