text
stringlengths
1
3.05k
source
stringclasses
4 values
for simple patterns, summation of long sequences may be represented with most summands replaced by ellipses. for example, summation of the first 100 natural numbers may be written as 1 + 2 + 3 + 4 + + 99 + 100. otherwise, summation is denoted by using Οƒ notation, where { \ textstyle \ sum } is an enlarged capital greek...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
of these, the addresses of the 16 general - purpose registers ( r0 - r15 ) are not fixed. instead, the r0 register is located at the address pointed to by the " context pointer " ( cp ) register, and the remaining 15 registers follow sequentially thereafter. register windows also provide an easy upgrade path. since the...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
near set theory provides a formal basis for the observation, comparison, and classification of elements in sets based on their closeness, either spatially or descriptively. near sets offer a framework for solving problems based on human perception that arise in areas such as image processing, computer vision as well as...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the field of selection principles, tsaban devised the method of omission of intervals for establishing covering properties of sets of real numbers that have certain combinatorial structures. in nonabelian cryptology he devised the algebraic span method that solved a number of computational problems that underlie a n...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
this allowed the star to use vectors of length not limited by the length of registers, making it highly flexible. unfortunately, the pipeline had to be very long in order to allow it to have enough instructions in flight to make up for the slow memory. that meant the machine incurred a high cost when switching from pro...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
while it is possible to write computer programs as long lists of numbers ( machine language ) and while this technique was used with many early computers, it is extremely tedious and potentially error - prone to do so in practice, especially for complicated programs. instead, each basic instruction can be given a short...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in secure computing terms, because access to a resource via a handle is mediated by another system, a handle functions as a capability : it not only identifies an object, but also associates access rights. for example, while a filename is forgeable ( it is just a guessable identifier ), a handle is given to a user by a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in order - theoretic mathematics, a series - parallel partial order is a partially ordered set built up from smaller series - parallel partial orders by two simple composition operations. the series - parallel partial orders may be characterized as the n - free finite partial orders ; they have order dimension at most ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
it is common in economic models that involve decision - making over time to assume that decision - makers are exponential discounters. exponential discounting posits that the decision maker assigns future utility of any good according to the formula u ( t ) = u ( 0 ) e βˆ’ ρ t { \ displaystyle u ( t ) = u ( 0 ) e ^ { - \...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
working in the opposite direction, the second expression asserts that a is false and b is false ( or equivalently that " not a " and " not b " are true ). knowing this, a disjunction of a and b must be false also. the negation of said disjunction must thus be true, and the result is identical to the first claim.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a cyclic graph may mean a graph that contains a cycle, or a graph that is a cycle, with varying definitions of cycles. see : cycle ( graph theory ), a cycle in a graph forest ( graph theory ), an undirected graph with no cycles biconnected graph, an undirected graph in which every edge belongs to a cycl...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1890s michelson built a mechanical device called the harmonic analyzer, for computing coefficients of fourier series and drawing graphs of their partial sums. he and s. w. stratton published a paper about this machine in the american journal of science in 1898.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
prices of $ 60 for keyboards were achieved, and key tronic rapidly became the largest independent keyboard manufacturer. meanwhile, ibm made their own keyboards, using their own patented technology : keys on older ibm keyboards were made with a " buckling spring " mechanism, in which a coil spring under the key buckles...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
transportation modes are an essential component of transport systems since they are the means by which mobility is supported. geographers consider a wide range of modes that may be grouped into three broad categories based on the medium they exploit : land, water and air. each mode has its own requirements and features...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 17th century, european mathematicians isaac barrow, rene descartes, pierre de fermat, blaise pascal, john wallis and others discussed the idea of a derivative. in particular, in methodus ad disquirendam maximam et minima and in de tangentibus linearum curvarum distributed in 1636, fermat introduced the concept o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in regular expressions, the period (., also called " dot " ) is the wildcard pattern which matches any single character. combined with the asterisk operator. * it will match any number of any characters. in this case, the asterisk is also known as the kleene star.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, falsing is a signaling error condition when a signal decoder detects a valid input although the implied protocol function was not intended. this is also known as a false decode. other forms are referred to as talk - off.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in some computer programming languages, the size in bits of certain data types 16 - bit computing a 16 - bit integer can represent up to 65, 536 values.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
declare a new variable in the procedure ( called l for reference ). on each remaining unconnected exit path, add a statement that sets l to the label value on that path. combine the resulting programs into a selection statement that executes the program with the entry path label indicated by l construct a loop that exe...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, list edge - coloring is a type of graph coloring that combines list coloring and edge coloring. an instance of a list edge - coloring problem consists of a graph together with a list of allowed colors for each edge. a list edge - coloring is a choice of a color for each edge, from its list of allowed co...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in punctuation, a word divider is a form of glyph which separates written words. in languages which use the latin, cyrillic, and arabic alphabets, as well as other scripts of europe and west asia, the word divider is a blank space, or whitespace. this convention is spreading, along with other aspects of european punctu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a scheme is a mathematical structure that enlarges the notion of algebraic variety in several ways, such as taking account of multiplicities ( the equations x = 0 and x2 = 0 define the same algebraic variety but different schemes ) and allowing " varieties " defined over any commutative ring ( for examp...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the japanese kantenji braille, the standard 8 - dot braille patterns 23578, 123578, 234578, and 1234578 are the patterns related to braille pattern dots - 12346, since the two additional dots of kantenji patterns 012346, 123467, and 0123467 are placed above the base 6 - dot cell, instead of below, as in standard 8 -...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in stream ciphers, ivs are loaded into the keyed internal secret state of the cipher, after which a number of cipher rounds are executed prior to releasing the first bit of output. for performance reasons, designers of stream ciphers try to keep that number of rounds as small as possible, but because determining the mi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
where fΓ— is the multiplicative group of f ( that is, f excluding 0 ). these elements are " special " in that they form an algebraic subvariety of the general linear group – they satisfy a polynomial equation ( since the determinant is polynomial in the entries ). when f is a finite field of order q, the notation sl ( n...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a primary cyclic group is a group that is both a cyclic group and a p - primary group for some prime number p. that is, it is a cyclic group of order pm, cpm, for some prime number p, and natural number m. every finite abelian group g may be written as a finite direct sum of primary cyclic groups, as st...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the question then becomes : on which level of iterated logarithms do to compare two numbers? there is a sense in which one may want to consider 10 10 10 { \ displaystyle 10 ^ { 10 ^ { 10 } } } and 10 10 9 { \ displaystyle 10 ^ { 10 ^ { 9 } } } to be " close in magnitude ". the relative error between these two numbers i...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
like for conic sections, a line cuts this oval at, at most, two points. a non - singular plane cubic defines an elliptic curve, over any field k for which it has a point defined. elliptic curves are now normally studied in some variant of weierstrass's elliptic functions, defining a quadratic extension of the field of ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
column 3 - f = furniture vans, carriages, motor cars, portable engines and machines on wheels. column 4 - l = livestock column 5 - h = horse boxes and prize cattle vans. column 6 - c = carriages and motor cars by passenger or parcels train. = = references = =
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in random graphs the sizes of components are given by a random variable, which, in turn, depends on the specific model of how random graphs are chosen. in the g ( n, p ) { \ displaystyle g ( n, p ) } version of the erdos – renyi – gilbert model, a graph on n { \ displaystyle n } vertices is generated by choosing random...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a hereditary property is a property of an object that is inherited by all of its subobjects, where the meaning of subobject depends on the context. these properties are particularly considered in topology and graph theory, but also in set theory.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, average bitrate ( abr ) refers to the average amount of data transferred per unit of time, usually measured per second, commonly for digital music or video. an mp3 file, for example, that has an average bit rate of 128 kbit / s transfers, on average, 128, 000 bits every second. it can have higher...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in number theory, he proved there is no odd perfect number with fewer than four prime factors. in algebra, he was notable for the study of associative algebras. he first introduced the terms idempotent and nilpotent in 1870 to describe elements of these algebras, and he also introduced the peirce decomposition. in the ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in systems theory, it involves the description of a network whose components are compartments that represent a population of elements that are equivalent with respect to the manner in which they process input signals to the compartment. instant homogeneous distribution of materials or energies within a " compartment. "...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in short, it is a cartesian product and it corresponds to a product in the category of types. most functional programming languages have a primitive notion of product type.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the cs reconstruction models using constrained β„“ 1 { \ displaystyle \ ell _ { 1 } } minimization, larger coefficients are penalized heavily in the β„“ 1 { \ displaystyle \ ell _ { 1 } } norm. it was proposed to have a weighted formulation of β„“ 1 { \ displaystyle \ ell _ { 1 } } minimization designed to more democratic...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in order to capture sufficient thermoacoustic data to form an accurate 3d map of electromagnetic absorption, it is necessary to surround the anatomy being imaged with a 2d array of transducers. the world's first 3d thermoacoustic animal scanner ( fig. 8 : left panel ) accomplished this by combining a cylindrical array ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
applied to a function with one variable, the y combinator usually does not terminate. more interesting results are obtained by applying the y combinator to functions of two or more variables. the additional variables may be used as a counter, or index.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
new centers were then chosen to better represent the cluster. this process was repeated until the centers at the start matched the centers at the end. when the cluster centers have not changed, it could be interpreted that this means proper clusters have been chosen.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the diagrams below, p is used for n ’ s parent, s for the sibling of n, c ( meaning close nephew ) for s ’ s child in the same direction as n, and d ( meaning distant nephew ) for s ’ s other child ( s cannot be a nil node in the first iteration, because it must have black height one, which was the black height of n...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
testers debug materials and procedures. the team reviews and revises the project according to feedback. after completing the development of the course material, the designers should conduct an imperative pilot test ; this can be carried out by involving key stakeholders and rehearsing the course material.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics and computer science, in the field of coding theory, the hamming bound is a limit on the parameters of an arbitrary block code : it is also known as the sphere - packing bound or the volume bound from an interpretation in terms of packing balls in the hamming metric into the space of all possible words. ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, especially in order theory, a preorder or quasiorder is a binary relation that is reflexive and transitive. preorders are more general than equivalence relations and ( non - strict ) partial orders, both of which are special cases of a preorder : an antisymmetric ( or skeletal ) preorder is a partial or...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
whether or not a name is well - formed depends on the type of computer system being used. early computers permitted only a few letters or digits in the name of a file, but modern computers allow long names ( some up to 255 characters ) containing almost any combination of unicode letters or unicode digits, making it ea...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
we may assume by probability amplification that both circuit families have success probability at least 5 / 6. then we create a composite algorithm where the circuits for l 1 { \ displaystyle l _ { 1 } } and l 2 { \ displaystyle l _ { 2 } } are run independently, and we set p to the conjunction of p 1 { \ displaystyle ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in number theory, tunnell's theorem gives a partial resolution to the congruent number problem, and under the birch and swinnerton - dyer conjecture, a full resolution.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1992 article " extending and formalizing the framework for information systems architecture " john f. sowa and john zachman present the framework and its recent extensions and show how it can be formalized in the notation of conceptual graphs. also in 1992 : john zachman's co - author john sowa proposed the addi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the piotrowski law is a case of the so - called logistic model ( cf. logistic equation ). it was shown that it covers also language acquisition processes ( cf. language acquisition law ). text block law : linguistic units ( e. g. words, letters, syntactic functions and constructions ) show a specific frequency distribu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
a symplectomorphism is an isomorphism of symplectic manifolds. a permutation is an automorphism of a set. in geometry, isomorphisms and automorphisms are often called transformations, for example rigid transformations, affine transformations, projective transformations. category theory, which can be viewed as a formali...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in number theory, the prime omega functions Ο‰ ( n ) { \ displaystyle \ omega ( n ) } and Ο‰ ( n ) { \ displaystyle \ omega ( n ) } count the number of prime factors of a natural number n. { \ displaystyle n. } thereby Ο‰ ( n ) { \ displaystyle \ omega ( n ) } ( little omega ) counts each distinct prime factor, whereas th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in software development, a sanity test ( a form of software testing which offers " quick, broad, and shallow testing " ) evaluates the result of a subset of application functionality to determine whether it is possible and reasonable to proceed with further testing of the entire application. sanity tests may sometimes ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in probability theory, regular conditional probability is a concept that formalizes the notion of conditioning on the outcome of a random variable. the resulting conditional probability distribution is a parametrized family of probability measures called a markov kernel.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in model theory, a branch of mathematical logic, and in algebra, the reduced product is a construction that generalizes both direct product and ultraproduct. let { si | i ∈ i } be a family of structures of the same signature Οƒ indexed by a set i, and let u be a filter on i. the domain of the reduced product is the quot...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in queueing theory, bartlett's theorem gives the distribution of the number of customers in a given part of a system at a fixed time.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the euclidean algorithm for computing the greatest common divisor of two integers is one example. given two integers a { \ displaystyle a } and b { \ displaystyle b }, the algorithm performs o ( log a + log b ) { \ displaystyle o ( \ log a + \ log b ) } arithmetic operations on numbers with at most o ( log a + log b ) ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the computation of the uspca and cspca solutions is demanding when the data matrix is large. with projection spca ( pspca ) approximate cspca solutions can computed much more efficiently by simply projecting the current first pc onto subsets of the variables. this means that the solutions can be computed with efficient...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
cash prizes of varying size, up to us $ 200, 000 ( and prizes up to $ 20, 000 awarded ), were offered for factorization of some of them. the smallest rsa number was factored in a few days. most of the numbers have still not been factored and many of them are expected to remain unfactored for many years to come.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, hooley's delta function ( Ξ΄ ( n ) { \ displaystyle \ delta ( n ) } ), also called erdos - - hooley delta - function, defines the maximum number of divisors of n { \ displaystyle n } in { \ displaystyle } for all u { \ displaystyle u }, where e { \ displaystyle e } is the euler's number. the first few te...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
hans van der laan : modern primitive. the sequence was described by ian stewart in his scientific american column mathematical recreations in june 1996.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in pseudocode the algorithm can be expressed as ( 0 - based array ) :
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
specialized hobbyist websites ( like geocaching. com ) faq and its benchmark hunting forum can provide more information. some of these marks have precise " adjusted " coordinates ( latitude and longitude ). the adjusted coordinates are precise to sub - centimeter accuracy, while others, typically true elevation bench m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
c variables are used directly while register names are quoted as string literals. _ _ asm in microsoft visual c + + ( msvc ), borland / embarcadero c compiler, and descendents. this syntax is not based on iso rules at all ; programmers simply write asm inside a block without needing to conform to c syntax.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the dispatch has all these three services combined into one dispatch for the best multi - coordinated response to an incident or an emergency. and also facilitates in information management, emergency communication and care of citizens. these services are the main structure for a response to an emergency. it can happen...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the statement that two sets a and b are equinumerous is usually denoted a β‰ˆ b { \ displaystyle a \ approx b \, } or a b { \ displaystyle a \ sim b }, or | a | = | b |. { \ displaystyle | a | = | b |. } the definition of equinumerosity using bijections can be applied to both finite and infinite sets, and allows one to s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
it is possible and sometimes desirable for the condition to always evaluate to be true. this creates an infinite loop. when an infinite loop is created intentionally there is usually another control structure that allows termination of the loop.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
note that the four points x { \ displaystyle x }, y { \ displaystyle y }, x ∧ y { \ displaystyle x \ wedge y }, and x ∨ y { \ displaystyle x \ vee y } form a rectangle in euclidean space ( in the sense that x ∧ y βˆ’ x = y βˆ’ x ∨ y { \ displaystyle x \ wedge y - x = y - x \ vee y }, x βˆ’ x ∨ y = x ∧ y βˆ’ y { \ displaystyle ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the standard specifies that the correct encoding of a code point uses only the minimum number of bytes required to hold the significant bits of the code point. longer encodings are called overlong and are not valid utf - 8 representations of the code point. this rule maintains a one - to - one correspondence between co...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in morphology, a null morpheme or zero morpheme is a morpheme that has no phonetic form. in simpler terms, a null morpheme is an " invisible " affix. it is a concept useful for analysis, by contrasting null morphemes with alternatives that do have some phonetic realization.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
that cannot be your task. there is no such thing as valid jury nullification. you would violate your oath and the law if you willfully brought a verdict contrary to the law given to you in this case. " the ninth circuit upheld the first three sentences of the jury's instruction and overruled the remainder but deemed th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
again, it depends on the context how exactly the word " filtration " is to be understood. descending filtrations are not to be confused with the dual notion of cofiltrations ( which consist of quotient objects rather than subobjects ). filtrations are widely used in abstract algebra, homological algebra ( where they ar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in bnpf encoding, a single byte ( 8 bits ) would be represented by a highly redundant character framing sequence starting with a single ascii " b ", eight ascii characters where a " 0 " would be represented by a " n " and a " 1 " would be represented by a " p ", followed by an ending ascii " f ". these ten - character ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the following definitions, x t { \ displaystyle \ mathbf { x } ^ { \ textsf { t } } } is the transpose of x { \ displaystyle \ mathbf { x } }, x βˆ— { \ displaystyle \ mathbf { x } ^ { * } } is the conjugate transpose of x { \ displaystyle \ mathbf { x } } and 0 { \ displaystyle \ mathbf { 0 } } denotes the n - dimens...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
alice sends | ψ ⟩ { \ displaystyle | \ psi \ rangle } over a public and authenticated quantum channel e { \ displaystyle { \ mathcal { e } } } to bob. bob receives a state e ( ρ ) = e ( | ψ ⟩ ⟨ ψ | ) { \ displaystyle { \ mathcal { e } } ( \ rho ) = { \ mathcal { e } } ( | \ psi \ rangle \ langle \ psi | ) }, where e { ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the early days of computing the total capacity of hdds was specified in seven to nine decimal digits frequently truncated with the idiom millions. by the 1970s, the total capacity of hdds was given by manufacturers using si decimal prefixes such as megabytes ( 1 mb = 1, 000, 000 bytes ), gigabytes ( 1 gb = 1, 000, 0...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the formula is used in calculating the frequency of each note in the piece. the values are then added together and divided by the number of notes. this is the average frequency of those notes. it is said that such techniques were used by classical composers, especially those who involved mathematics heavily in their mu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the general number field sieve, on the other hand, manages to search for smooth numbers that are subexponential in the size of n. since these numbers are smaller, they are more likely to be smooth than the numbers inspected in previous algorithms. this is the key to the efficiency of the number field sieve. in order to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in modular arithmetic, any unit fraction can be converted into an equivalent whole number using the extended euclidean algorithm. this conversion can be used to perform modular division : dividing by a number x { \ displaystyle x }, modulo y { \ displaystyle y }, can be performed by converting the unit fraction 1 / x {...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1760s, johann heinrich lambert was the first to prove that the number Ο€ is irrational, meaning it cannot be expressed as a fraction a / b { \ displaystyle a / b }, where a { \ displaystyle a } and b { \ displaystyle b } are both integers. in the 19th century, charles hermite found a proof that requires no prereq...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
with some luck it will be the target of the search. if the target is not found by the time the search pattern has reached maximum convenient radius, the centre point may be shifted and another search started. this can be repeated as often as necessary, but the positions of the centre points must be chosen to allow the ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
( where Ο† ( Ξ² / Ξ± ) { \ displaystyle \ varphi ( \ beta / \ alpha ) } denotes the formula formed by substituting all free occurrences of the variable Ξ± { \ displaystyle \ alpha } in Ο† { \ displaystyle \ varphi } by Ξ² { \ displaystyle \ beta }. ) likewise, finding a counterexample disproves ( proves the negation of ) a u...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
even the " system specific " code needs modification only slightly from implementation to implementation. the result is great amounts of implementation work saved while porting the system. finally, it was an error to enter into a second round of optimization before bootstrapping the compiler.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, a differential invariant is an invariant for the action of a lie group on a space that involves the derivatives of graphs of functions in the space. differential invariants are fundamental in projective differential geometry, and the curvature is often studied from this point of view. differential invar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in order to understand how sounds are made, experimental procedures are often adopted. palatography is one of the oldest instrumental phonetic techniques used to record data regarding articulators. in traditional, static palatography, a speaker's palate is coated with a dark powder. the speaker then produces a word, us...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the 1960s, the term double dabble was also used for a different mental algorithm, used by programmers to convert a binary number to decimal. it is performed by reading the binary number from left to right, doubling if the next bit is zero, and doubling and adding one if the next bit is one. in the example above, 111...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
using matrices, this formula can be written x o l d = a x n e w, { \ displaystyle \ mathbf { x } _ { \ mathrm { old } } = a \, \ mathbf { x } _ { \ mathrm { new } }, } where " old " and " new " refer respectively to the firstly defined basis and the other basis, x o l d { \ displaystyle \ mathbf { x } _ { \ mathrm { ol...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematical analysis, agmon's inequalities, named after shmuel agmon, consist of two closely related interpolation inequalities between the lebesgue space l ∞ { \ displaystyle l ^ { \ infty } } and the sobolev spaces h s { \ displaystyle h ^ { s } }. it is useful in the study of partial differential equations. let ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in number theory, the numbers of the form x2 + xy + y2 for integer x, y are called the loschian numbers ( or loeschian numbers ). these numbers are named after august losch. they are the norms of the eisenstein integers. they are a set of whole numbers, including zero, and having prime factorization in which all primes...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
heyting implication, y β‡’ z { \ displaystyle y \ rightarrow z }, is an alternative notation for z y { \ displaystyle z ^ { y } }. the above adjunction results translate to implication ( β‡’ : h Γ— h β†’ h { \ displaystyle \ rightarrow : h \ times h \ to h } ) being right adjoint to meet ( ∧ : h Γ— h β†’ h { \ displaystyle \ wed...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in the european union, rrm data analysis showed that authentic information was " de - contextualized ", " manipulated " and " distorted ", then used by " questionable " writers on " untrustworthy " sites to " seed conversations ", which were then " framed using a divisive and inflammatory narrative. " these would refer...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in elliptic geometry, an elliptic rectangle is a figure in the elliptic plane whose four edges are elliptic arcs which meet at equal angles greater than 90Β°. opposite arcs are equal in length. in hyperbolic geometry, a hyperbolic rectangle is a figure in the hyperbolic plane whose four edges are hyperbolic arcs which m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in telecommunications, transmission is the process of sending or propagating an analog or digital signal via a medium that is wired, wireless, or fiber - optic. transmission system technologies typically refer to physical layer protocol duties such as modulation, demodulation, line coding, equalization, error control, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, the binary octahedral group, name as 2o or ⟨ 2, 3, 4 ⟩ is a certain nonabelian group of order 48. it is an extension of the chiral octahedral group o or ( 2, 3, 4 ) of order 24 by a cyclic group of order 2, and is the preimage of the octahedral group under the 2 : 1 covering homomorphism spin ( 3 ) β†’ so...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the optional selector channel also enabled the use of other high speed devices such as the 1200 lpm 0776 printer or the 2000 lpm 0770 printer. the machine had either 4k or 16k memory chips, and typical machines had between 128 and 512 kib memory. it ran an os called os / 3, and could run up to 7 jobs at one time, not c...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
lastly, the difference between the two highest values of fev1 should also be within 150 ml. the highest fvc and fev1 may be used from each different test. until the results of three tests meet the criteria of reproducibility, the test can be repeated up to eight times. if it is still not possible to get accurate result...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
for example, right triangles, isosceles triangles and equilateral triangles are non - generic and non - degenerate. in fact, degenerate cases often correspond to singularities, either in the object or in some configuration space. for example, a conic section is degenerate if and only if it has singular points ( e. g., ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
these incorrect responses often matched the incorrect response of the majority group ( i. e., actors ). overall, 75 % of participants gave at least one incorrect answer out of the 12 critical trials. in his opinion regarding the study results, asch put it this way : " that intelligent, well - meaning, young people are ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
397 - 398 ). cook and reckhow ( 1973 ) say it most succinctly : the indirect instructions are necessary in order for a fixed program to access an unbounded number of registers as the inputs vary. " ( p. 73 ) unbounded capacities of registers versus bounded capacities of state - machine instructions : the so - called fi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in statistics, the generalized dirichlet distribution ( gd ) is a generalization of the dirichlet distribution with a more general covariance structure and almost twice the number of parameters. random vectors with a gd distribution are completely neutral. the density function of p 1, …, p k βˆ’ 1 { \ displaystyle p _ { ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
in mathematics, two sets are said to be disjoint sets if they have no element in common. equivalently, two disjoint sets are sets whose intersection is the empty set. for example, { 1, 2, 3 } and { 4, 5, 6 } are disjoint sets, while { 1, 2, 3 } and { 3, 4, 5 } are not disjoint. a collection of two or more sets is calle...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
the child element is within the parent element, such as in a venn diagram. this structure is most effective in representing simple hierarchical relationships. for example, when directing someone to open a file on a computer desktop, one may first direct them towards the main folder, then the subfolders within the main ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus