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- |<center>'''Natural numbers example''' Numbers less than [[0]] (such as [[−1]]) are not natural numbers. ...7 KB (924 words) - 01:12, 17 January 2017
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- ...atical truth. It can be used to prove that something is true for all the [[natural numbers]] (all the positive whole numbers). The idea is that * Assume that the statement is true for any natural number <math>n</math>. (This is called the ''induction step''.) ...3 KB (574 words) - 14:25, 26 October 2015
- ...tten as <math>(\mathbb{N} , +)</math>. The name of the magma would be "The natural numbers under addition". ...1 KB (250 words) - 05:20, 8 November 2014
- .... Subtraction of two numbers can produce a negative number, which is not a natural number, but it is an integer. ...atical object by including new elements. The integers are a closure of the natural numbers by including negative numbers. The [[real numbers]] are a closure o ...2 KB (271 words) - 03:33, 15 January 2015
- ...table, and so is a set with one hundred things in it. A set with all the [[natural number]]s (counting numbers) in it is countable too. It's [[infinite]] but ...m countable if we can find a way to list them all without missing any. The natural numbers have been nicknamed "the counting numbers" since they are what we u ...2 KB (379 words) - 14:57, 30 April 2017
- |<center>'''Natural numbers example''' Numbers less than [[0]] (such as [[−1]]) are not natural numbers. ...7 KB (924 words) - 01:12, 17 January 2017
- ...is a quantifier. Therefore, the sentence "every natural number has another natural number larger than it" is a quantified expression. Quantifiers and quantifi Quantifiers are also used in natural languages. Examples of quantifiers in English are ''for all'', ''for some'' ...8 KB (1,219 words) - 06:11, 20 June 2016
- ...al differential equations. According to above the applications, we had had natural question of how to characterize of the space by space of classical function ...en set in ℝ''<sup>n</sup>'' and 1 ≤ ''p'' ≤ +∞. The [[natural number]] ''m'' is called the order of the Sobolev space ''W<sup>k,p</sup>'' ...2 KB (249 words) - 16:54, 23 January 2015
- ..., [[etc]]. They are often written using [[Knuth's up-arrow notation]]. [[Natural number]] level hyperoperations can be defined [[recursive]]ly as a [[piecew ...610 bytes (75 words) - 16:07, 12 March 2013
- ...] and not from any human construct. Planck units are only one system of [[natural units]] among other systems. They are considered unique, because these unit Natural units help physicists to reframe questions. [[Frank Wilczek]] puts this su ...4 KB (570 words) - 21:33, 20 October 2014
- ...assigns to each symbol and formula of some [[formal language]] a unique [[natural number]] called a '''Gödel number (GN)'''. The concept was first used by [[ ...igned to each [[symbol]] of a [[mathematical notation]], and a stream of [[natural number]]s can then represent some form or function. A [[numbering (computab ...5 KB (850 words) - 23:57, 1 January 2015
- The cardinality of a finite set is a [[natural number]]. The smallest cardinality is 0. The [[empty set]] has cardinality ...issing any. Examples include the [[rational number]]s, [[integer]]s, and [[natural number]]s. Such sets have a cardinality that we call <math>\aleph_0</math> ...2 KB (375 words) - 06:00, 4 July 2015
- A '''triangular number''' is a number that is the sum of all of the [[natural number]]s up to a certain number. For example, 10 is a triangular number be ...641 bytes (69 words) - 16:41, 27 September 2015
- '''Wilson's theorem''' is a theorem of [[number theory]]. Let ''n'' be any [[natural number]]. Wilson's theorem says that ''n'' is a [[prime number]] if and onl ...476 bytes (82 words) - 14:59, 16 August 2013
- ...hm|natural logarithm]]. It is given by the limiting difference between the natural logarithm and the harmonic series <ref name="gm">{{cite web|title=The Euler ...3 KB (394 words) - 20:03, 16 July 2017
- The example below uses two of the simplest infinite sets, that of [[natural number]]s, and that of positive [[fraction (mathematics)|fractions]]. The i ...is a [[Bijective function|bijection]] which associates each element of the natural numbers, to one element of the fractions: ...12 KB (1,234 words) - 02:16, 5 September 2016
- ...e cardinality. For countable sets (sets with the same cardinality as the [[natural number]]s) this cardinality is [[aleph-null|<math>\aleph_0</math>]]. ...contains the natural numbers as a subset, but is no bigger than the set of natural numbers since the rationals are countable: there is a bijection from the na ...5 KB (910 words) - 20:39, 8 September 2016
- ...ardinality of the [[real number]]s is larger than the cardinality of the [[natural number]]s. ...1 KB (154 words) - 17:56, 8 October 2014
- |'''Natural variables''' ...sake of completeness, the set of all <math>N_i</math> are also included as natural variables, although they are sometimes ignored. ...3 KB (426 words) - 10:54, 19 June 2013
- '''Kin selection''' or '''kin altruism''' is a form of [[natural selection]]. Some [[animal]]s [[cooperation|cooperate]] with [[kinship|rela ...by [[R.A. Fisher]] in 1930,<ref>{{cite book |title=The genetical theory of natural selection |last=Fisher |first=R.A. |authorlink= |coauthors= |year=1930 |pub ...4 KB (585 words) - 23:42, 9 March 2015
- *{46,189,1264} is its own subset, and it's a proper subset of the set of [[natural number]]s. ...980 bytes (159 words) - 10:02, 8 June 2017
- ...rs to learn about the world and make things. The study of the rules of the natural world is called [[science]]. The work that uses numbers to make things is c === Natural numbers === ...14 KB (2,057 words) - 01:36, 21 August 2017
- ...>. One gives a [[natural number]] <math>x</math> as the input and gets a [[natural number]] <math>y</math> as the output with the property that <math>y=x!</ma ...4 KB (751 words) - 09:24, 21 January 2017
- ...useful in predicting the chance that an extreme earthquake, flood or other natural disaster will occur. where ''ln'' is the [[Logarithm#Natural logarithms|natural logarithm]]. ...6 KB (869 words) - 11:55, 17 April 2013
- ...world.wolfram.com |date= |accessdate=2011-11-02}}</ref> List of first 4 [[natural number]] hyperoperations: ...2 KB (233 words) - 06:17, 28 June 2016
- Prove that for all [[natural numbers]] ''n'', 2(1+2+3+....+''n''-1+''n'')=''n''(''n''+1) Proof: First, the statement can be written "for all natural numbers ''n'', 2<math>\sum_{k=1}^n k</math>=n(n+1) ...4 KB (758 words) - 05:51, 9 March 2015
- * the set <math>\left \{ a^{n}\right\}</math>, where <math>n\,</math> is a [[natural number]] and <math>a^n\,</math> means <math>a\,</math> repeated <math>n\,</ * [[Natural language]] for languages that are not formal ...5 KB (710 words) - 00:57, 25 February 2017
- ...he two variables as a straight line. Instead, Logistic regression uses the natural logarithm function to find the relationship between the variables and uses The natural logarithm of the odds ratio is then taken in order to create the logistic e ...5 KB (815 words) - 08:54, 24 July 2017
- * ''[[Natural number]]s'': These are real numbers that have no decimal and [[positive num ...]'': These are positive real numbers that have no decimals, and also zero. Natural numbers are also whole numbers. ...6 KB (971 words) - 01:36, 21 August 2017
- ...th>, there exists a [[natural number]] <math>N</math> such that, for every natural number <math>n > N</math>, we have <math>|x_n - x| < \epsilon</math>. ...4 KB (629 words) - 19:19, 23 January 2015
- This function computes the [[factorial]] of a [[natural number]]. It works because <math>n!=n(n-1)!, n > 0</math> and <math>0!=1</m ...2 KB (301 words) - 20:47, 14 February 2017
- '''Integers''' are the [[natural numbers]] and their negatives.<ref>Negative numbers have a [[:wikt:minus|mi ...2 KB (304 words) - 08:49, 14 March 2017
- ...types with higher fitness become more common. This is the process called [[natural selection]]. ...ought to express in mechanical terms, is that which Mr. Darwin has called ‘natural selection’, or the preservation of favoured races in the struggle for life. ...5 KB (696 words) - 14:26, 23 June 2016
- There are certain rules for integrating using [[e]] and the natural logarithm. Most importantly, <math>e^x</math> is the integral of itself (wi The natural logarithm, ln, is useful when integrating equations with <math>1/x</math>. ...8 KB (1,358 words) - 13:14, 7 May 2017
- == Natural languages == ...7 KB (903 words) - 08:27, 1 October 2016
- * {''x'' | ''x'' is a natural number & ''x'' < 4}. In spoken English, that is: "the set of all ''x'' such that ''x'' is a natural number and ''x'' is less than four". ...10 KB (1,884 words) - 16:03, 30 June 2015
- | [[Natural numbers]] | ℕ denotes the set of natural numbers {0,1,2,3,4,5...} ...8 KB (1,182 words) - 07:31, 3 November 2013
- .../commons/6/62/Sum_of_i.pdf Derivation of Polynomials to Express the Sum of Natural Numbers with Exponents] ...2 KB (344 words) - 13:31, 21 July 2017
- == Natural logarithms == Logarithms to base ''e'' are called natural logarithms. The number [[e (mathematical constant)|e]] is nearly 2.71828, a ...13 KB (1,977 words) - 14:34, 21 July 2017
- There are infinitely many square numbers, as there are infinitely many [[natural number]]s. ...lpertron.com.ar/FSQUARES.HTM Sum of squares]. A Java applet to decompose a natural number into a sum of up to four squares. ...7 KB (1,032 words) - 07:35, 22 June 2017
- The set of [[natural number]]s is '''not''' an alphabet because as it is not finite. ...3 KB (400 words) - 06:51, 6 July 2016
- ...a [[Neapolitan sixth]] chord on <math>\hat2</math> needs both a flat and a natural accidental. ...3 KB (414 words) - 12:26, 11 March 2013
- where <math>C</math> is the [[constant of integration]], ln is the [[natural logarithm]]. ...3 KB (448 words) - 00:47, 9 March 2013
- .../math> bit-by-bit to any other.) This directly gives us the following very natural routing algorithm. We assume that the queueing policy satisfies a very natural requirement: ...12 KB (2,110 words) - 02:55, 19 July 2011
- One of the most natural information about a random variable is its expectation, which is the first ...3 KB (541 words) - 15:18, 21 July 2011
- ...e binary way is the simplest [[numeral system|system of numbers]] in which natural numbers (0-9) can be written. ...3 KB (374 words) - 20:08, 29 November 2016
- In [[thermodynamics]] and [[engineering]], it is natural to think of the system as a [[heat engine]] which does work on the surround ...3 KB (561 words) - 06:11, 16 June 2016
- ...ad to non-viable life forms, that is, a form which is eliminated through [[natural selection]]. In other words, the product of the gene is vital to life, and ...3 KB (479 words) - 04:08, 5 October 2016
- '''Pan''' is a [[Satellite (natural)|moon]] of [[Saturn (planet)|Saturn]]. It is the closest moon to the planet ...3 KB (400 words) - 18:32, 23 March 2016
- The [[number]] '''seven''' is a [[natural number]] that comes after [[six]] and before [[eight]]. In [[Roman numerals ...3 KB (415 words) - 09:55, 5 February 2017
- ...]] becomes more than the [[escape velocity]] of a [[planet]], [[Satellite (natural)|satellite]], or [[star]]. For example, [[meteor]]s approach on a hyperboli ...3 KB (573 words) - 16:29, 22 February 2015
- Although the statement in the theorem looks very natural, it is difficult to evaluate the probability that a random graph has some p One of the most fascinating phenomenon of random graphs is that for so many natural graph properties, the random graph <math>G(n,p)</math> suddenly changes fro ...11 KB (2,031 words) - 01:33, 24 July 2011
- where ''n'' is a [[positive number|positive]] [[integer]] (sometimes called [[natural number]]). Wilson primes were first described by [[Emma Lehmer]].<ref>[http ...4 KB (657 words) - 02:44, 19 January 2014
- The following is a natural Markov chain for sampling proper colorings. ...4 KB (712 words) - 06:48, 11 December 2011
- ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...5 KB (821 words) - 03:48, 19 July 2011
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...10 KB (1,895 words) - 06:20, 21 November 2011
- ...[[combustion]] of all carbon-containing [[fuel]]s, such as [[methane]] ([[natural gas]]), petroleum distillates ([[gasoline]], [[Diesel fuel|diesel]], [[kero * By [[wikt:capturing|capturing]] natural carbon dioxide [[spring (hydrosphere)|springs]] where it is produced by the ...8 KB (1,196 words) - 17:01, 24 May 2017
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...23 KB (4,153 words) - 08:30, 12 October 2010
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...23 KB (4,153 words) - 08:18, 16 August 2011
- ...us consider the surviving problem. Suppose we have <math>n</math> types of natural food, each containing up to <math>m</math> types of vitamins. The <math>j< ...etitive to any natural food. A costumer cannot replace the vitamins by any natural food and get a cheaper price, that is, <math>\sum_{i=1}^my_ja_{ij}\le c_j</ ...18 KB (3,203 words) - 10:44, 4 January 2011
- '''Graham's number''' is a very, very big [[natural number]] that was defined by a man named Ronald Graham. Graham was solving ...5 KB (804 words) - 20:06, 6 April 2017
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 06:13, 9 September 2021
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 16:39, 26 September 2023
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 05:52, 16 September 2019
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 15:49, 3 October 2022
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 22:38, 15 September 2020
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 04:35, 10 September 2018
- One of the most natural information about a random variable is its expectation, which is the first ...6 KB (955 words) - 08:05, 20 September 2017
- ...s, such as a 100% efficient electric resistance heater to an 80% efficient natural gas-fueled furnace, an [[Engineering economics|economic analysis]] is neede ...4 KB (643 words) - 15:13, 19 November 2015
- ...a part of it can be of the same size; Infinity is larger than all of the [[natural numbers]]. There is a smallest infinite number, ''countable infinity''. It ...6 KB (828 words) - 00:07, 11 November 2015
- The [[natural logarithm]] is the [[inverse operation]] of an exponential function. ...5 KB (766 words) - 22:24, 8 February 2015
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...22 KB (3,809 words) - 05:34, 19 March 2014
- Another way is to use [[litmus paper]], which is based on a natural pH indicators. The paper can tell you how strong the chemical is, whether i ...4 KB (678 words) - 15:24, 23 August 2017
- .../math> bit-by-bit to any other.) This directly gives us the following very natural routing algorithm. We assume that the queueing policy satisfies a very natural requirement: ...17 KB (3,066 words) - 06:06, 18 April 2013
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...29 KB (5,238 words) - 05:34, 13 November 2015
- '''Phobos''' (or '''Mars I''') is one of [[Mars (planet)|Mars]]' [[Satellite (natural)|moons]]. The other is [[Deimos (moon)|Deimos]]. ...4 KB (605 words) - 17:45, 16 November 2016
- <p>The term <math>\log</math> used in this context refers to the natural logarithm.</p> ...6 KB (968 words) - 13:18, 5 May 2024
- ...as to search for the optimal solution. This might work pretty good on some natural instances. On the other hand, giving a theoretical explanation why the heur This problem is known to be '''NP-hard'''. We consider a very simple and natural algorithm: ...20 KB (3,484 words) - 05:14, 11 June 2010
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...16 KB (2,812 words) - 06:21, 21 November 2011
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 14:54, 28 September 2017
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 04:27, 27 March 2024
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 10:46, 17 April 2013
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 03:56, 27 October 2015
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 14:25, 29 March 2023
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 04:35, 17 October 2016
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 06:16, 8 October 2019
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 07:16, 8 October 2011
- ...th>\pi:[n]\xrightarrow[\text{onto}]{\text{1-1}}[n]</math>. We can define a natural operator "<math>\cdot</math>" between permutations by function composition, ...self). Besides it, there are several typical permutation groups related to natural symmetric operations. ...19 KB (3,695 words) - 05:36, 19 March 2014
- ...us consider the surviving problem. Suppose we have <math>n</math> types of natural food, each containing up to <math>m</math> types of vitamins. The <math>j< ...etitive to any natural food. A costumer cannot replace the vitamins by any natural food and get a cheaper price, that is, <math>\sum_{i=1}^my_ja_{ij}\le c_j</ ...24 KB (4,341 words) - 13:24, 11 December 2011
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...24 KB (4,365 words) - 11:50, 5 June 2013
- <p>The term <math>\log</math> used in this context refers to the natural logarithm.</p> ...7 KB (1,107 words) - 07:46, 25 April 2023
- Although the statement in the theorem looks very natural, it is difficult to evaluate the probability that a random graph has some p One of the most fascinating phenomenon of random graphs is that for so many natural graph properties, the random graph <math>G(n,p)</math> suddenly changes fro ...21 KB (3,837 words) - 09:44, 1 April 2013
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...25 KB (4,389 words) - 09:05, 12 January 2011
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...25 KB (4,523 words) - 13:54, 27 December 2015
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...25 KB (4,408 words) - 01:20, 10 November 2011
- The museum opened on 24 May 1683, with [[natural history|naturalist]] [[Robert Plot]] as the first keeper. ...5 KB (794 words) - 11:14, 3 April 2015
- Many natural sciences use matrices quite a lot. In many [[university|universities]], cou ...8 KB (1,194 words) - 21:26, 28 May 2017
- Apply a very natural randomized rounding scheme. For each <math>1\le i\le n</math>, independentl ...8 KB (1,443 words) - 14:02, 6 November 2011
- ...{n}</math> is the nth [[Bernoulli number]], and <math>\log</math> is the [[natural logarithm]]. ...7 KB (1,081 words) - 10:05, 24 June 2017
- .../math> bit-by-bit to any other.) This directly gives us the following very natural routing algorithm. We assume that the queueing policy satisfies a very natural requirement: ...27 KB (4,865 words) - 07:47, 24 March 2014
- .../math> bit-by-bit to any other.) This directly gives us the following very natural routing algorithm. We assume that the queueing policy satisfies a very natural requirement: ...27 KB (4,865 words) - 08:14, 24 March 2014
- Apply a very natural randomized rounding scheme. For each <math>1\le i\le n</math>, independentl ...8 KB (1,443 words) - 05:44, 13 November 2015
- :The number of distinct prime divisors of any natural number less than <math>2^n</math> is at most <math>n</math>. ...s representing the input. In the case of primality testing, the input is a natural number <math>n</math> represented in binary code, which takes <math>\log n< ...21 KB (3,794 words) - 09:47, 10 September 2015
- In several natural phenomena one may find curves that are close to being logarithmic spirals. ...7 KB (1,062 words) - 18:16, 9 March 2015
- A natural algorithm is the greedy algorithm: sequentially add such <math>i</math> to In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav ...33 KB (5,832 words) - 13:15, 25 October 2020
- A natural algorithm is the greedy algorithm: sequentially add such <math>i</math> to In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav ...33 KB (5,832 words) - 07:54, 31 October 2018
- A natural algorithm is the greedy algorithm: sequentially add such <math>i</math> to In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav ...33 KB (5,832 words) - 03:44, 27 October 2017
- A natural algorithm is the greedy algorithm: sequentially add such <math>i</math> to In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav ...33 KB (5,832 words) - 05:22, 29 October 2019
- A natural algorithm is the greedy algorithm: sequentially add such <math>i</math> to In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav ...33 KB (5,832 words) - 06:23, 29 September 2016
- In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav Another natural idea for solving optimization problems is the local search. Given an instan ...33 KB (5,832 words) - 04:31, 8 November 2021
- In a technical report in the Bell labs in 1966, Graham described a natural greedy procedure for scheduling jobs on parallel identical machines and gav Another natural idea for solving optimization problems is the local search. Given an instan ...33 KB (5,832 words) - 15:45, 19 November 2022
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...10 KB (1,940 words) - 07:38, 14 October 2019
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...10 KB (1,940 words) - 10:53, 10 October 2023
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...10 KB (1,940 words) - 03:37, 19 October 2021
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...10 KB (1,940 words) - 12:53, 11 October 2022
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...10 KB (1,940 words) - 22:39, 15 September 2020
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...24 KB (4,172 words) - 15:38, 19 March 2013
- :The number of distinct prime divisors of any natural number less than <math>2^n</math> is at most <math>n</math>. ...9 KB (1,662 words) - 07:05, 15 November 2011
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...21 KB (3,832 words) - 15:23, 7 October 2011
- '''Example:''' The function ''f'':ℕ→ℕ that maps every [[natural number]] ''n'' to ''2n'' is an injection. Every even number has exactly one ...9 KB (1,271 words) - 06:37, 8 October 2016
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...32 KB (5,780 words) - 02:49, 24 November 2016
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...32 KB (5,780 words) - 07:54, 28 November 2019
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...32 KB (5,780 words) - 13:32, 2 December 2017
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...32 KB (5,800 words) - 07:57, 21 May 2014
- .../math> bit-by-bit to any other.) This directly gives us the following very natural routing algorithm. We assume that the queueing policy satisfies a very natural requirement: ...31 KB (5,481 words) - 03:52, 9 November 2010
- ...r any <math>S,T\in\mathcal{F}</math>, <math>S\cap T\neq\emptyset</math>. A natural question of extremal favor is: "how large can an intersecting family be?" The idea behind the shifting technique is very natural: by applying shifting, all intersecting families are transformed to some '' ...50 KB (8,991 words) - 12:23, 21 May 2023
- One of the most natural information about a random variable is its expectation, which is the first ...the sum of variable is the sum of the expectations of the variables. It is natural to ask whether this is true for variances. We find that the variance of sum ...30 KB (5,292 words) - 07:49, 3 August 2011
- ...ere, the latitude and longitude change for all the points on the sphere. A natural question is then whether the definition of the surface integral depends on ...10 KB (1,551 words) - 10:37, 24 June 2017
- The following simple randomized algorithm is natural: ...12 KB (2,188 words) - 03:05, 12 March 2023
- | [[Natural number]]s || [[Integer]]s || [[Rational number]]s || [[Real number]]s || [[ ...9 KB (1,088 words) - 18:04, 22 August 2017
- ...ental number that is the base of natural logarithms, sometimes called the "natural number". ...41 KB (4,624 words) - 01:45, 25 December 2015
- ...of multi-variate polynomials] over field <math>\mathbb{F}</math>. The most natural way to represent an <math>n</math>-variate polynomial of degree <math>d</ma :The number of distinct prime divisors of any natural number less than <math>2^n</math> is at most <math>n</math>. ...28 KB (5,169 words) - 11:26, 13 September 2015
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...26 KB (4,583 words) - 04:53, 7 October 2010
- *How [[wave (physics)|wave]]s move. Waves are very important in the [[natural]] world. For example, [[sound]] and [[light]] can be thought of as waves. ...10 KB (1,680 words) - 20:32, 4 January 2017
- | satellites = [[Pluto's natural satellites|5]] ...rf planets, and until it passes such a ruling, they classify Charon as a [[natural satellite|moon]] of Pluto.<ref> ...19 KB (2,733 words) - 02:56, 28 August 2017
- ...trong>] Prove that it is impossible to define a uniform probability law on natural numbers <math>\mathbb{N}</math>. More precisely, prove that there does not ...13 KB (2,127 words) - 10:18, 20 March 2024
- <p>The term <math>\log</math> used in this context refers to the natural logarithm.</p> ...13 KB (2,150 words) - 08:49, 7 June 2023
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...31 KB (5,704 words) - 08:39, 5 May 2014
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...31 KB (5,704 words) - 05:36, 13 November 2015
- One of the most fascinating phenomenon of random graphs is that for so many natural graph properties, the random graph <math>G(n,p)</math> suddenly changes fro ...14 KB (2,752 words) - 05:32, 19 March 2014
- <p>The term <math>\log</math> used in this context refers to the natural logarithm.</p> ...14 KB (2,403 words) - 10:41, 7 April 2023
- ...trong>] Prove that it is impossible to define a uniform probability law on natural numbers <math>\mathbb{N}</math>. More precisely, prove that there does not ...13 KB (2,321 words) - 08:45, 19 March 2024
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...48 KB (8,716 words) - 08:15, 15 October 2023
- ...iangular number]], and, like all triangular numbers, it is the sum of all natural numbers up to a certain point; in this case: 2<sup>''n''</sup> - 1. Also, ...12 KB (1,697 words) - 23:40, 1 August 2016
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 07:11, 14 October 2019
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 05:36, 23 October 2017
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 13:26, 9 April 2024
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 03:55, 27 October 2015
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 11:36, 13 April 2023
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 12:43, 18 April 2013
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 05:31, 19 March 2014
- ...ath> vertices is marked as the "root" of the tree. A rooted tree defines a natural direction of all edges, such that an edge <math>uv</math> of the tree is di ...17 KB (3,190 words) - 04:35, 17 October 2016
- <p>The term <math>\log</math> used in this context refers to the natural logarithm.</p> ...14 KB (2,465 words) - 19:27, 13 April 2024
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 03:49, 24 October 2016
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 08:14, 16 October 2019
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 09:36, 2 April 2014
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 02:36, 31 October 2017
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 13:27, 9 April 2024
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 09:37, 9 November 2015
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 12:56, 18 April 2023
- :Let <math>x</math> be an irrational number. For any natural number <math>n</math>, there is a rational number <math>\frac{p}{q}</math> ...14 KB (2,455 words) - 09:24, 19 April 2013
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...37 KB (6,743 words) - 09:07, 13 November 2011
- :The number of distinct prime divisors of any natural number less than <math>2^n</math> is at most <math>n</math>. ...16 KB (2,886 words) - 07:49, 13 November 2011
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...20 KB (3,641 words) - 03:06, 19 July 2011
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...38 KB (6,912 words) - 15:45, 3 October 2022
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...39 KB (7,106 words) - 09:54, 24 May 2013
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...18 KB (3,527 words) - 05:10, 9 November 2016
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...18 KB (3,527 words) - 05:55, 12 November 2019
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...18 KB (3,527 words) - 06:10, 22 November 2017
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...18 KB (3,527 words) - 08:55, 4 May 2023
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...19 KB (3,541 words) - 07:47, 25 December 2015
- ...he maximum load. These questions are interesting not only because they are natural to ask in a balls-into-bins setting, but in the context of hashing, they ar ...eral balls-into-bins questions can somehow be answered by analyzing a very natural quantity: the number of '''collision pairs'''. ...42 KB (7,662 words) - 08:41, 7 June 2010
- ...>{n\choose k}</math> sets in the colex order of all <math>k</math>-sets of natural numbers is precisely <math>{[n]\choose k}</math>. ...25 KB (4,480 words) - 04:58, 17 November 2010
- ...>{n\choose k}</math> sets in the colex order of all <math>k</math>-sets of natural numbers is precisely <math>{[n]\choose k}</math>. ...25 KB (4,480 words) - 08:23, 16 August 2011
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...21 KB (3,921 words) - 08:23, 13 November 2010
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...21 KB (3,922 words) - 01:04, 3 November 2011
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...21 KB (3,922 words) - 10:31, 16 April 2014
- ...late the extremal bound for an arbitrary subgraph <math>H</math> to a very natural parameter of <math>H</math>, its chromatic number. ...21 KB (3,922 words) - 08:56, 20 May 2013
- ...sult it presents Bob with the next piece. This model has a closer and more natural correspondence to dynamic data structures than the classic communication mo ...14 KB (1,850 words) - 01:51, 7 May 2018
- ...of multi-variate polynomials] over field <math>\mathbb{F}</math>. The most natural way to represent an <math>n</math>-variate polynomial of degree <math>d</ma ...22 KB (4,084 words) - 10:22, 6 March 2013
- :The number of distinct prime divisors of any natural number less than <math>2^n</math> is at most <math>n</math>. ...20 KB (3,617 words) - 01:24, 8 June 2010
- We can apply several natural algebraic operations on the formal power series. ...20 KB (3,444 words) - 04:53, 7 October 2010
- ...The rotating blades or gated runners of water turbines can interrupt the natural ecology of rivers, killing fish, stopping [[Fish migration|migrations]], an ...15 KB (2,242 words) - 18:49, 30 May 2017
- ...them doubles, the other does, too). If we choose to use what are called [[natural units]], then the number representing the frequency of a photon would also But the way physics grew, there was no natural connection between the units then used to measure energy and the units comm ...36 KB (5,991 words) - 08:00, 24 August 2017
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...25 KB (4,555 words) - 08:25, 31 March 2014
- ...d estimator <math>\min_{1\le i\le n}h(x_i)</math> has large variance. So a natural way to reduce this variance is to have multiple independent hash functions ...25 KB (4,512 words) - 07:51, 29 September 2020
- ...d estimator <math>\min_{1\le i\le n}h(x_i)</math> has large variance. So a natural way to reduce this variance is to have multiple independent hash functions ...25 KB (4,512 words) - 09:09, 20 September 2018
- ...d estimator <math>\min_{1\le i\le n}h(x_i)</math> has large variance. So a natural way to reduce this variance is to have multiple independent hash functions ...25 KB (4,512 words) - 06:13, 9 September 2021
- ...d estimator <math>\min_{1\le i\le n}h(x_i)</math> has large variance. So a natural way to reduce this variance is to have multiple independent hash functions ...25 KB (4,512 words) - 05:52, 16 September 2019
- ...d estimator <math>\min_{1\le i\le n}h(x_i)</math> has large variance. So a natural way to reduce this variance is to have multiple independent hash functions ...25 KB (4,512 words) - 15:48, 3 October 2022
- ...s <math>n-1</math> positions of <math>\pi</math> in the worst case. A very natural randomized algorithm for this problem is: ...25 KB (4,263 words) - 08:43, 7 June 2010
- ...of multi-variate polynomials] over field <math>\mathbb{F}</math>. The most natural way to represent an <math>n</math>-variate polynomial of degree <math>d</ma ...26 KB (4,800 words) - 06:38, 3 March 2014
- Apply a very natural randomized rounding scheme. For each <math>1\le i\le n</math>, independentl ...24 KB (4,382 words) - 10:07, 24 May 2013
- Apply a very natural randomized rounding scheme. For each <math>1\le i\le n</math>, independentl ...24 KB (4,382 words) - 07:27, 21 April 2014
- ...nfidence error <math>\delta=\frac{1}{3}</math>. Apparently, this is a more natural way to relax the FPTAS to randomized algorithms as it mimics the way of gen ...23 KB (4,076 words) - 15:50, 12 May 2014
- ...mixing rate as a function in the form of <math>\exp(\cdot)</math>, so its natural logarithm looks nicer. We observe that ...27 KB (4,860 words) - 03:17, 22 March 2011
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...30 KB (5,461 words) - 09:28, 16 September 2020
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,298 words) - 05:54, 20 March 2013
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,298 words) - 06:51, 26 February 2014
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,338 words) - 12:04, 14 September 2015
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,338 words) - 13:15, 6 September 2019
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,338 words) - 12:57, 11 September 2016
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,338 words) - 09:04, 12 September 2017
- A '''sorted table''' for a data set <math>S\subset [N]</math> is a natural data structure in which the elements of <math>S=\{x_1,x_2,\ldots,x_n\}</mat ...25 KB (4,530 words) - 12:14, 26 May 2023
- A transition graph defines a natural random walk: at each time step, at the current node, the walk moves through ...29 KB (4,888 words) - 09:13, 16 December 2011
- We can apply several natural algebraic operations on the formal power series. ...24 KB (4,348 words) - 11:46, 6 March 2013
- We can apply several natural algebraic operations on the formal power series. ...25 KB (4,460 words) - 17:41, 23 March 2023
- We can apply several natural algebraic operations on the formal power series. ...25 KB (4,460 words) - 11:41, 6 March 2024
- The following is a natural Markov chain for sampling proper colorings. ...27 KB (4,881 words) - 13:52, 31 July 2013
- The following is a natural Markov chain for sampling proper colorings. ...27 KB (4,881 words) - 07:04, 2 June 2014
- The following simple randomized algorithm is natural: ...30 KB (5,354 words) - 08:06, 6 September 2021
- The following simple randomized algorithm is natural: ...30 KB (5,354 words) - 13:18, 6 September 2019
- The following simple randomized algorithm is natural: ...30 KB (5,354 words) - 05:43, 13 September 2022
- The following simple randomized algorithm is natural: ...30 KB (5,354 words) - 11:26, 8 September 2020
- The following simple randomized algorithm is natural: ...30 KB (5,354 words) - 13:38, 18 September 2018
- The following simple randomized algorithm is natural: ...30 KB (5,348 words) - 12:54, 17 September 2017
- The following simple randomized algorithm is natural: ...30 KB (5,347 words) - 05:55, 26 November 2016
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,205 words) - 01:11, 22 September 2011
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,227 words) - 11:45, 15 October 2017
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,227 words) - 09:51, 19 March 2024
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,227 words) - 12:45, 16 March 2023
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,227 words) - 07:00, 29 September 2016
- :With this spirit, it is natural to define the matrix multiplication in <math>I(P)</math>. For <math>\alpha, ...33 KB (6,227 words) - 06:15, 30 September 2019
- :* A natural way to reach this last contradiction is to have the following situation: As ...31 KB (5,614 words) - 12:29, 8 December 2015
- The partition function can also be used to model many natural counting problems. For example, when <math>q=2</math> and ...29 KB (4,994 words) - 01:21, 29 August 2011
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...37 KB (6,690 words) - 02:23, 19 September 2018
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...37 KB (6,690 words) - 05:31, 20 September 2017
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...40 KB (7,253 words) - 03:36, 19 October 2021
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...40 KB (7,253 words) - 10:53, 10 October 2023
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...40 KB (7,253 words) - 06:10, 8 October 2019
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...40 KB (7,253 words) - 12:53, 11 October 2022
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...37 KB (6,763 words) - 09:43, 24 May 2013
- ...mixing rate as a function in the form of <math>\exp(\cdot)</math>, so its natural logarithm looks nicer. We observe that ...35 KB (6,195 words) - 08:39, 7 June 2010
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...39 KB (7,173 words) - 03:22, 4 November 2010
- A transition graph defines a natural random walk: at each time step, at the current node, the walk moves through ...37 KB (6,516 words) - 08:40, 7 June 2010
- The following simple randomized algorithm is natural: ...37 KB (6,665 words) - 12:21, 19 September 2023
- A transition graph defines a natural random walk: at each time step, at the current node, the walk moves through ...40 KB (7,046 words) - 08:04, 2 June 2014
- A transition graph defines a natural random walk: at each time step, at the current node, the walk moves through ...40 KB (7,046 words) - 10:00, 13 December 2015
- A transition graph defines a natural random walk: at each time step, at the current node, the walk moves through ...40 KB (7,049 words) - 15:11, 8 June 2013
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,673 words) - 09:03, 22 September 2016
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,750 words) - 15:39, 15 September 2017
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,705 words) - 08:44, 24 August 2021
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,705 words) - 07:31, 5 September 2022
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,705 words) - 05:26, 16 September 2019
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,705 words) - 11:24, 8 September 2020
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,708 words) - 10:34, 12 September 2023
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...43 KB (7,745 words) - 01:16, 10 September 2018
- The Doob martingale describes a very natural procedure to determine a function value of a sequence of random variables. ...50 KB (9,096 words) - 06:09, 8 December 2015
- ...'''#P''' (pronounced "sharp p"). Only now the output of the function is a natural number. ...37 KB (6,579 words) - 08:26, 7 June 2010
- A natural heuristics for solving the max-cut is to sequentially join the vertices to ...49 KB (8,708 words) - 08:53, 14 September 2023