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once all the multiples of each discovered prime have been marked as composites, the remaining unmarked numbers are primes. the earliest known reference to the sieve ( ancient greek : κοσκινον ερατοσθενους, koskinon eratosthenous ) is in nicomachus of gerasa's introduction to arithmetic, an early 2nd cent. ce book which... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, computer science and network science, network theory is a part of graph theory. it defines networks as graphs where the nodes or edges possess attributes. network theory analyses these networks over the symmetric relations or asymmetric relations between their ( discrete ) components. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
+ error term { \ displaystyle y _ { t } = a + w _ { 0 } x _ { t } + w _ { 1 } x _ { t - 1 } + w _ { 2 } x _ { t - 2 } +... + { \ text { error term } } } or the form y t = a + w 0 x t + w 1 x t − 1 + w 2 x t − 2 +... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for type sum, the identity object is the void type, which stores no information and it is impossible to address an inhabitant. the concept of monoidal category does not presume that values of such aggregate types can be taken apart ; on the contrary, it provides a framework that unifies classical and quantum informatio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some cases these functions are not defined on the whole of ℝ3. for example, the trilinears of x365 which is the 365th entry in the encyclopedia of triangle centers, are a1 / 2 : b1 / 2 : c1 / 2 so a, b, c cannot be negative. furthermore, in order to represent the sides of a triangle they must satisfy the triangle in... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in gis, the rmsd is one measure used to assess the accuracy of spatial analysis and remote sensing. in hydrogeology, rmsd and nrmsd are used to evaluate the calibration of a groundwater model. in imaging science, the rmsd is part of the peak signal - to - noise ratio, a measure used to assess how well a method to recon... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in planning and problem solving, or more formally one - person games, the search space is seen as a directed graph with states as nodes, and transitions as edges. states can have properties, and such a property p is hereditary if for each state s that has p, each state that can be reached from s also has p. the subset ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in relational algebra, if r ⊆ x × y { \ displaystyle r \ subseteq x \ times y } and s ⊆ y × z { \ displaystyle s \ subseteq y \ times z } are relations, then the composite relation s r ⊆ x × z { \ displaystyle sr \ subseteq x \ times z } is defined so that x s r z { \ displaystyle x \, sr \, z } if and only if there is... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
additional methods for improving the algorithm's efficiency were developed in the 20th century. the euclidean algorithm has many theoretical and practical applications. it is used for reducing fractions to their simplest form and for performing division in modular arithmetic. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telephony, a message - waiting indicator ( mwi ) is a telcordia technologies ( formerly bellcore ) term for an fsk - based telephone calling feature that illuminates an led on selected telephones to notify a telephone user of waiting voicemail messages on most north american public telephone networks and pbxs. as de... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
with the keyboard and display modules strapped to the operator's forearms, text could be entered by bringing the wrists together and typing. the same technology was used by ibm researchers to create the half - keyboard " belt computer. also in 1994, mik lamming and mike flynn at xerox europarc demonstrated the forget -... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematical optimization, linear - fractional programming ( lfp ) is a generalization of linear programming ( lp ). whereas the objective function in a linear program is a linear function, the objective function in a linear - fractional program is a ratio of two linear functions. a linear program can be regarded as... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the utility function has the linear form : u ( x 1, x 2 ) = x 1 + x 2. { \ displaystyle u ( x _ { 1 }, x _ { 2 } ) = x _ { 1 } + x _ { 2 }. } the utility function is only weakly convex, and indeed the demand is not unique : when p 1 = p 2 { \ displaystyle p _ { 1 } = p _ { 2 } }, the consumer may divide his income in a... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in programming, several notations denote hexadecimal numbers, usually involving a prefix. the prefix 0x is used in c, which would denote this value as 0x60cb. hexadecimal is used in the transfer encoding base16, in which each byte of the plaintext is broken into two 4 - bit values and represented by two hexadecimal dig... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the unified modeling language ( uml ), an element is an abstract class with no superclass. it is used as the superclass or base class, as known by object oriented programmers, for all the metaclasses in the uml infrastructure library. all other elements in the uml inherit, directly or indirectly from element. an ele... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, a sparsely totient number is a certain kind of natural number. a natural number, n, is sparsely totient if for all m > n, φ ( m ) > φ ( n ) { \ displaystyle \ varphi ( m ) > \ varphi ( n ) } where φ { \ displaystyle \ varphi } is euler's totient function. the first few sparsely totient numbers are : 2, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in some cases, the phenomenon under study may have important spatial or temporal structure that must be considered during analysis, such as time series or image - based data. in 2005, tibshirani and colleagues introduced the fused lasso to extend the use of lasso to this type of data. the fused lasso objective function... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
all these principles limit the set of possible correlations in non - trivial ways. moreover, they are all device - independent : this means that they can be falsified under the assumption that we can decide if two or more events are space - like separated. the drawback of the device - independent approach is that, even... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
by quadratic reciprocity and the restriction of the vertices to primes congruent to 1 mod 4, this is a symmetric relation, so it defines an undirected graph, which turns out to be isomorphic to the rado graph. another construction of the rado graph shows that it is an infinite circulant graph, with the integers as its ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
z ∈ i ∗ { \ displaystyle z \ in i ^ { * } } if and only if there exists a c ∈ r { \ displaystyle c \ in r }, where c { \ displaystyle c } is not contained in any minimal prime ideal of r { \ displaystyle r }, such that c z p e ∈ i { \ displaystyle cz ^ { p ^ { e } } \ in i ^ { } } for all e 0 { \ displaystyle e \ gg 0 ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, specifically group theory, finite groups of prime power order p n { \ displaystyle p ^ { n } }, for a fixed prime number p { \ displaystyle p } and varying integer exponents n ≥ 0 { \ displaystyle n \ geq 0 }, are briefly called finite p - groups. the p - group generation algorithm by m. f. newman and e... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
this signal would feed into the sound - card audio - input of the pc, and banpaia would decode the esn / mdn pair from this signal and display it on the screen. the hacker could then copy that data into the oki 900 phone and reboot it, after which the phone network could not distinguish the oki from the original phone ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for every input position, the parser generates a state set. each state is a tuple ( x → α • β, i ), consisting of the production currently being matched ( x → α β ) the current position in that production ( visually represented by the dot • ) the position i in the input at which the matching of this production began : ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in operations research, the makespan of a project is the length of time that elapses from the start of work to the end. this type of multi - mode resource constrained project scheduling problem ( mrcpsp ) seeks to create the shortest logical project schedule, by efficiently using project resources, adding the lowest nu... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle ( a - \ mu i ) ^ { - 1 }. } the closer the approximation μ { \ displaystyle \ mu } to the eigenvalue is chosen, the faster the algorithm converges ; however, incorrect choice of μ { \ displaystyle \ mu } can lead to slow convergence or to the convergence to an eigenvector other than the one desired. in... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the data transformation stage, a series of rules or functions are applied to the extracted data in order to prepare it for loading into the end target. an important function of transformation is data cleansing, which aims to pass only " proper " data to the target. the challenge when different systems interact is in... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
( see, for example, the fermi – pasta – ulam – tsingou experiment of 1953. ) assumption of the ergodic hypothesis allows proof that certain types of perpetual motion machines of the second kind are impossible. systems that are ergodic are said to have the property of ergodicity ; a broad range of systems in geometry, p... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the 1980s, a tiny cpu that executed forth was fabricated into a dram chip to improve push and pop. forth is a stack - oriented programming language and this improved its efficiency. the transputer also had large on chip memory given that it was made in the early 1980s making it essentially a processor - in - memory.... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for example, rd2xbd6. concise reversible algebraic notation is similar to reversible algebraic notation, but omits the file or rank if it is not needed to disambiguate the move. for example, rd2xb6. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in modular construction, modules are a bundle of redundant project components that are produced en masse prior to installation. building components are often arranged into modules in the industrialization of construction. in industrial design, modularity refers to an engineering technique that builds larger systems by ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the microsoft family of operating systems, windows vista and later versions have support for both msi and msi - x. support was added in the longhorn development cycle around 2004. msi is not supported in earlier versions like windows xp or windows server 2003. solaris express 6 / 05 released in 2005 added support fo... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
portuguese and spanish also have unique forms for 1st, 2nd and 3rd person reflexive when they follow the preposition com / con ('with'). that holds true for both singular and plural pronouns for portuguese, but only for singular in spanish. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in metadata, annotea is an rdf standard sponsored by the w3c to enhance document - based collaboration via shared document metadata based on tags, bookmarks, and other annotations. in this case document metadata includes : keywords comments notes explanations errors correctionsin general, annotea associates text string... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
tikhonov ( tychonoff ) fixed - point theorem : let v be a locally convex topological vector space. for any nonempty compact convex set x in v, any continuous function f : x → x has a fixed point. browder fixed - point theorem : let k be a nonempty closed bounded convex set in a uniformly convex banach space. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in set theory, a set is called hereditarily countable if it is a countable set of hereditarily countable sets. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in non - pae modes of 32 - bit x86 processors, the usable ram may be limited to less than 4 gb. limits on memory and address space vary by platform and operating system. limits on physical memory for 32 - bit platforms also depend on the presence and use of physical address extension ( pae ), which allows 32 - bit syst... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations ( called hyperoperations in this context ) that starts with a unary operation ( the successor function with n = 0 ). the sequence continues with the binary operations of addition ( n = 1 ), multiplication ( n = 2 ), and exponen... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in network theory, link analysis is a data - analysis technique used to evaluate relationships ( tap link ) between nodes. relationships may be identified among various types of nodes ( 100k ), including organizations, people and transactions. link analysis has been used for investigation of criminal activity ( fraud, ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the opteron cpu directly supports up to an 8 - way configuration, which can be found in mid - level servers. enterprise - level servers use additional ( and expensive ) routing chips to support more than 8 cpus per box. in a variety of computing benchmarks, the opteron architecture has demonstrated better multi - proce... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
equipped with the λ - calculus and " general " recursion, kleene with help of church and j. barkley rosser produced proofs ( 1933, 1935 ) to show that the two calculi are equivalent. church subsequently modified his methods to include use of herbrand – godel recursion and then proved ( 1936 ) that the entscheidungsprob... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
another popular strategy for avoiding linguistic controversy is dependency grammar parsing. most modern parsers are at least partly statistical ; that is, they rely on a corpus of training data which has already been annotated ( parsed by hand ). | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
some machines that support parity or ecc allow checking to be enabled or disabled in the bios, permitting cheaper non - parity ram to be used. if parity ram is used the chipset will usually use it to implement error correction, rather than halting the machine on a single - bit parity error. however, as discussed in the... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in probability theory and statistics, a sequence of independent bernoulli trials with probability 1 / 2 of success on each trial is metaphorically called a fair coin. one for which the probability is not 1 / 2 is called a biased or unfair coin. in theoretical studies, the assumption that a coin is fair is often made by... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in neural networking or heuristic algorithms ( computer terms generally used to describe'learning'computers or'ai simulations'), a black box is used to describe the constantly changing section of the program environment which cannot easily be tested by the programmers. this is also called a white box in the context tha... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in number theory and computer science, the partition problem, or number partitioning, is the task of deciding whether a given multiset s of positive integers can be partitioned into two subsets s1 and s2 such that the sum of the numbers in s1 equals the sum of the numbers in s2. although the partition problem is np - c... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
a branch may have one incoming control flow and two or more outgoing control flows. when the condition is fulfilled, a branch activates exactly only one of the outgoing control flows and deactivates the others. the counterpart of a branch is a merge. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the service will then prompt the user to enter the dialed number of the party to be called. the disadvantage of this method of roaming is that the user will not be able to dial numbers directly from the handset. the advantage is that it works in almost all locations around the world since ussd is ubiquitous and free. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the first half of the 20th century, telecommunication services developed progressively from completely manual setup of calls by operators called by subscribers, to automatic systems that could connect subscribers of the same local exchange through the use of telephone dials installed in each telephone. in the 1940s,... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the field of mathematical optimization, lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization by a simpler problem. a solution to the relaxed problem is an approximate solution to the original problem, and provides useful information. the method penalizes vio... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle e = e = \ alpha + \ beta x _ { i } + e = \ alpha + \ beta x _ { i }. } the line of best fit for the bivariate dataset takes the form y = α + βx and is called the regression line. α and β correspond to the intercept and slope, respectively. in an experiment, the variable manipulated by an experimenter i... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the samuelson – berkowitz algorithm efficiently computes the characteristic polynomial of an n × n { \ displaystyle n \ times n } matrix whose entries may be elements of any unital commutative ring. unlike the faddeev – leverrier algorithm, it performs no divisions, so may be applied to a wider range of... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the absence of parentheses, the parallel operator is defined as taking precedence over addition or subtraction, similar to multiplication. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the prime signature of a number is the multiset of ( nonzero ) exponents of its prime factorization. the prime signature of a number having prime factorization p 1 m 1 p 2 m 2 … p n m n { \ displaystyle p _ { 1 } ^ { m _ { 1 } } p _ { 2 } ^ { m _ { 2 } } \ dots p _ { n } ^ { m _ { n } } } is the multise... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
for example, individuals in a population can be assigned to compartments with labels – for example, s, i, or r, ( susceptible, infectious, or recovered ) and they progress between compartments. the order of the labels usually shows the flow patterns between the compartments ; for instance, sir means each individual is ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in statistics, a sum of squares due to lack of fit, or more tersely a lack - of - fit sum of squares, is one of the components of a partition of the sum of squares of residuals in an analysis of variance, used in the numerator in an f - test of the null hypothesis that says that a proposed model fits well. the other co... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in multitasking computer operating systems, a daemon ( or ) is a computer program that runs as a background process, rather than being under the direct control of an interactive user. traditionally, the process names of a daemon end with the letter d, for clarification that the process is in fact a daemon, and for diff... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the distinction arises because it is conventional to talk not about estimating fixed effects but rather about predicting random effects, but the two terms are otherwise equivalent. ( this is a bit strange since the random effects have already been " realized " ; they already exist. the use of the term " prediction " ma... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
complementary configuration occurs when multiple information sources supply different information about the same features. this strategy is used for fusing information at raw data level within decision - making algorithms. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
effectiveness in using a system for controlling a continuous industrial process would generally be measured in very different terms to, say, effectiveness in using a text editor. thus, it can be difficult, if not impossible, to answer the question " is system a more usable than system b ", because the measures of effec... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in numerical linear algebra, the bartels – stewart algorithm is used to numerically solve the sylvester matrix equation a x − x b = c { \ displaystyle ax - xb = c }. developed by r. h. bartels and g. w. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
there is specific verbal morphology — a particular form of the verb indicates passive voice. the problem arises with non - european languages. many constructions in these languages share at least one property with the canonical european passive, but not all. while it seems justified to call these constructions passive ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in muscle physiology, physiological cross - sectional area ( pcsa ) is the area of the cross section of a muscle perpendicular to its fibers, generally at its largest point. it is typically used to describe the contraction properties of pennate muscles. it is not the same as the anatomical cross - sectional area ( acsa... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in telecommunications, 8b / 10b is a line code that maps 8 - bit words to 10 - bit symbols to achieve dc balance and bounded disparity, and at the same time provide enough state changes to allow reasonable clock recovery. this means that the difference between the counts of ones and zeros in a string of at least 20 bit... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
they are infinite in number. they constitute the comparatively rare instances where the strict converse of fermat's little theorem does not hold. this fact precludes the use of that theorem as an absolute test of primality. the carmichael numbers form the subset k1 of the knodel numbers. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in this case, rather than simply counting through elements of the population and selecting every kth unit, we allocate each element a space along a number line according to its selection probability. we then generate a random start from a uniform distribution between 0 and 1, and move along the number line in steps of ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in relational databases, the information schema ( information _ schema ) is an ansi - standard set of read - only views that provide information about all of the tables, views, columns, and procedures in a database. it can be used as a source of the information that some databases make available through non - standard ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in software, semantic technology encodes meanings separately from data and content files, and separately from application code. this enables machines as well as people to understand, share and reason with them at execution time. with semantic technologies, adding, changing and implementing new relationships or intercon... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the european union the classifications for vehicle types are defined by : commission directive 2001 / 116 / ec of 20 december 2001, adapting to technical progress council directive 70 / 156 / eec on the approximation of the laws of the member states relating to the type - approval of motor vehicles and their trailer... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the domain of a function is the set of inputs accepted by the function. it is sometimes denoted by dom ( f ) { \ displaystyle \ operatorname { dom } ( f ) } or dom f { \ displaystyle \ operatorname { dom } f }, where f is the function. in layman's terms, the domain of a function can generally be thought... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, the classification of finite simple groups states that every finite simple group is cyclic, or alternating, or in one of 16 families of groups of lie type, or one of 26 sporadic groups. the list below gives all finite simple groups, together with their order, the size of the schur multiplier, the size o... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the japanese kantenji braille, the standard 8 - dot braille patterns 567, 1567, 4567, and 14567 are the patterns related to braille pattern dots - 345, since the two additional dots of kantenji patterns 0345, 3457, and 03457 are placed above the base 6 - dot cell, instead of below, as in standard 8 - dot braille. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
as blacks integrate to white communities they are perpetuating a system in which blacks are inferior to whites. blacks would continue to function in an environment of being second class citizens, he believes, never reaching equity to white citizens. carmichael therefore uses the concept of black nationalism to promote ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics and computer science, a random tree is a tree or arborescence that is formed by a stochastic process. types of random trees include : uniform spanning tree, a spanning tree of a given graph in which each different tree is equally likely to be selected random minimal spanning tree, spanning trees of a gra... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, an operation is a function which takes zero or more input values ( also called " operands " or " arguments " ) to a well - defined output value. the number of operands is the arity of the operation. the most commonly studied operations are binary operations ( i. e., operations of arity 2 ), such as addi... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the following, we state two equivalent forms of the theorem, and show their equivalence. later, we prove the theorem. this is done in the following steps : reducing the theorem to sentences ( formulas with no free variables ) in prenex form, i. e. with all quantifiers ( and ) at the beginning. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the following, let x { \ displaystyle x } be a topological space, g, h { \ displaystyle g, h } topological groups and a group homomorphism : h → g { \ displaystyle \ phi \ colon h \ to g }. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in 1972, jurjen battjes, commissioned by the dutch technical advisory committee for flood defences, summarised the available research and provided a solid theoretical foundation. this work led to an improved version of hunt's formula, which explicitly included parameters for the angle of incidence of the waves, the eff... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the inequality is a limiting case of sobolev imbedding and can be stated as the following theorem : let ω { \ displaystyle \ omega } be a bounded domain in r n { \ displaystyle \ mathbb { r } ^ { n } } satisfying the cone condition. let m p = n { \ displaystyle mp = n } and p > 1 { \ displaystyle p > 1 }. set a ( t ) =... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
one of the biggest problems with this form of scientific fraud is that " university investigations into research misconduct are often inadequate, opaque and poorly conducted. they challenge the idea that institutions can police themselves on research integrity. " sometimes intentional fabrication can be difficult to di... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
as a result of being relatively close to the femtocell, the mobile phone ( user equipment ) expends significantly less power for communication with it, thus increasing battery life. they may also get better voice quality ( via hd voice ) depending on a number of factors such as operator / network support, customer cont... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
shortly after neo visits the oracle, morpheus is captured by agents who plan to hack into his mind. because morpheus, as a hovercraft captain, possesses access codes to the zion mainframe computer, the surviving members of the ship's crew are about to unplug morpheus from the matrix, without reconnecting his mind and b... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in mathematics, topology ( from the greek words τοπος,'place, location ', and λογος,'study') is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling and bending, but not tearing or gluing. a topological space is a set endowed with ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in puzzle games, scores are usually gained by solving the puzzles quickly. higher scores can be gained by performing combos of puzzle solving. there is often a time bonus which can add extra points. the level number is often a multiplier on the points, so higher scores are possible on harder levels. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in quantum information theory, superdense coding ( also referred to as dense coding ) is a quantum communication protocol to communicate a number of classical bits of information by only transmitting a smaller number of qubits, under the assumption of sender and receiver pre - sharing an entangled resource. in its simp... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
manchester ship canal at latchford, stockton heath and lower walton in warrington, and also slightly further west at moore. near the eastern end of the canal in salford, the barton road swing bridge is adjacent to the barton swing aqueduct – a 234 - foot, 800 - ton trough holding some 800 tons of water ( retained by ga... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
{ \ displaystyle x. } remark. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
the goal is for the referee to find an algorithm such that if the statement is true, there is a way for alice to win with probability greater than 3 / 4, and if the statement is false, there is a way for bob to win with probability greater than 3 / 4. this probability is equal to 1 - ε. in the language of complexity th... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it should not be confused with the dot product ( projection product ). if two vectors have the same direction or have the exact opposite direction from each other ( that is, they are not linearly independent ), or if either one has zero length, then their cross product is zero. more generally, the magnitude of the prod... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
p ( if a, then b ) is normally interpreted not as an ordinary probability — not, specifically, as p ( a ′ ∨ b ) — but as the conditional probability of b given a, p ( b | a ) = p ( a ∧ b ) / p ( a ). this raises a question : what about a probability like p ( if a, then b, and if c, then d )? for this, there is no stand... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in real social networks individuals exhibit a tendency to re - connect with past contacts ( ex. family, friends, co - workers, etc. ) rather than strangers. in 1970, mark granovetter examined this behaviour in the social networks of a group of workers and identified tie strength, a characteristic of social ties describ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the japanese kantenji braille, the standard 8 - dot braille patterns 378, 1378, 3478, and 13478 are the patterns related to braille pattern dots - 236, since the two additional dots of kantenji patterns 0236, 2367, and 02367 are placed above the base 6 - dot cell, instead of below, as in standard 8 - dot braille. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in optimal transport, a branch of mathematics, polar factorization of vector fields is a basic result due to brenier ( 1987 ), with antecedents of knott - smith ( 1984 ) and rachev ( 1985 ), that generalizes many existing results among which are the polar decomposition of real matrices, and the rearrangement of real - ... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
it is trained by repeatedly exposing it to examples of the problem and learning the significance ( weights ) of the input nodes. : 196 the neural network used by split _ up is said to generalise well if the output of the network is correct ( or nearly correct ) for examples not seen during training, which classifies it... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
however, most prepaid phones now offer roaming using one of the following methods : the prepaid mobile phone user dials a " trigger " number from the foreign location using a ussd message which is not charged for while roaming. upon receipt of the ussd, the customer's operator will then return the call. when the servic... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in part because the shannon capacity is difficult to compute, researchers have looked for other graph invariants that are easy to compute and that provide bounds on the shannon capacity. | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in set theory, xy is the notation representing the set of all functions from y to x. as " 2 " can be defined as { 0, 1 } ( see, for example, von neumann ordinals ), 2s ( i. e., { 0, 1 } s ) is the set of all functions from s to { 0, 1 }. as shown above, 2s and the power set of s, p ( s ), are considered identical set -... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in 1976, refinanced by the canada development corporation, it returned to operation as aes data, and went on to successfully market its brand of word processors worldwide until its demise in the mid - 1980s. its first office product, the aes - 90, combined for the first time a crt - screen, a floppy - disk and a microp... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in the following, expose ( v ) { \ displaystyle { \ text { expose } } ( v ) } extracts the left child l { \ displaystyle l }, key k { \ displaystyle k }, and right child r { \ displaystyle r } of node v { \ displaystyle v } into a tuple ( l, k, r ) { \ displaystyle ( l, k, r ) }. node ( l, k, r ) { \ displaystyle { \ t... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
in set theory language here, speak of a function class when f ⊂ a × c { \ displaystyle f \ subset a \ times c } and provenly ( a ∈ a ).! ( c ∈ c ). ⟨ a, c ⟩ ∈ f { \ displaystyle \ forall ( a \ in a ). \, \ exists! | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
nevertheless, the machine was air cooled, and would have been the fastest such machine on the market. the machine ran an early version of the mach kernel for multi - processor support. the compilers were designed to keep the processors as full as possible by reducing the number of branch delay slots, and did a particul... | https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus |
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