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. it is still the only type of electrical connection recognized by the ieee ( ieee, std 80 – 2001 ) as continuous un - spliced cable. = = see also = = thermite calciothermic reaction silicothermic reaction = = references = = | Aluminothermic reaction | wikipedia |
as the ratio of the number of outcomes within an event to the total number of outcomes. in the possible world model each possible world is an outcome, and statements about possible worlds define events. the probability of a statement being true is the number of possible worlds where the statement is true divided by the... | Inductive probability | wikipedia |
} \ mid h ^ { 3 } ) } represents a conditional dbm model, which can be viewed as a two - layer dbm but with bias terms given by the states of h 3 { \ displaystyle h ^ { 3 } } : p ( ν, h 1, h 2 h 3 ) = 1 z ( ψ, h 3 ) exp ( i j w i j ( 1 ) ν i h j 1 + j ℓ w j ℓ ( 2 ) h j 1 h ℓ 2 + ℓ m w ℓ m ( 3 ) h ℓ 2 h m 3 ). { \ displ... | Types of artificial neural networks | wikipedia |
displaystyle c } cannot be zero as this would conflict with the postulate that ψ { \ displaystyle \ psi } has norm 1. therefore, since sin ( k l ) = 0 { \ displaystyle \ sin ( kl ) = 0 }, k l { \ displaystyle kl } must be an integer multiple of π { \ displaystyle \ pi }, k = n π l n = 1, 2, 3, …. { \ displaystyle k = {... | Quantum mechanics | wikipedia |
on food contact surfaces. cleaning temperature is also a concern for effective protein removal. as temperature increases, the activity of the cleaning compound increases, making soil removal easier. however, at higher temperatures ( > 55 °c ) proteins denature and cleaning efficacy is reduced. = = = alkaline cleaners =... | Protein adsorption in the food industry | wikipedia |
their application in personalized medicine and healthcare data analysis allows tailored therapies and efficient patient care management. ongoing research is aimed at addressing remaining challenges such as data privacy and model interpretability, as well as expanding the scope of ann applications in medicine. = = = con... | Neural network (machine learning) | wikipedia |
- dichloro - 9, 10 - dihydro - 9, 10 - ethano - 2 - anthroic acid syn and anti isomers seen below and to the left, the chlorines provide a field effect. the concentration of negative charge on each chlorine has a through space effect which can be seen in the relative pka values. when the chlorines are pointed over the ... | Field effect (chemistry) | wikipedia |
logic circuits, or specialized integrated circuits designed for gating purposes. the specific method used depends on the application requirements and the characteristics of the signals being processed. overall, signal gating provides a means to control the flow of signals and is widely used in diverse fields to enhance... | Gating signal | wikipedia |
) ) ) ) ) ) ) ) → a ( 3, a ( 3, a ( 3, a ( 2, a ( 0, a ( 0, a ( 0, 2 ) ) ) ) ) ) ) → a ( 3, a ( 3, a ( 3, a ( 2, a ( 0, a ( 0, 3 ) ) ) ) ) ) → a ( 3, a ( 3, a ( 3, a ( 2, a ( 0, 4 ) ) ) ) ) → a ( 3, a ( 3, a ( 3, a ( 2, 5 ) ) ) ) → a ( 3, a ( 3, a ( 3, 13 ) ) ) → a ( 3, a ( 3, 65533 ) ) → a ( 3, 2 65536 − 3 ) → 2 2 655... | Ackermann function | wikipedia |
) for zero - shot and one - shot translation : # # # translate this sentence from [ source language ] to [ target language ], source : [ source sentence ] # # # target : translate this into 1. [ target language ] : [ shot 1 source ] 1. [ shot 1 reference ] translate this into 1. [ target language ] : [ input ] 1. = = l... | Neural machine translation | wikipedia |
= = adversarial examples = = = an adversarial example refers to specially crafted input that is designed to look " normal " to humans but causes misclassification to a machine learning model. often, a form of specially designed " noise " is used to elicit the misclassifications. below are some current techniques for ge... | Adversarial machine learning | wikipedia |
fault - tolerant design ) the system may fail suddenly, making it appear that the new component b is the problem. only after the system has been carefully scrutinized will it become clear that the root problem is actually with component a. reduction of priority of fault correction. even if the operator is aware of the ... | Software fault tolerance | wikipedia |
24, 2015 ). software engineering ( 10th ed. ). pearson education limited. isbn 978 - 0 - 13 - 394303 - 0. jalote, pankaj ( 2005 ) [ 1991 ]. an integrated approach to software engineering ( 3rd ed. ). springer. isbn 978 - 0 - 387 - 20881 - 7. bruegge, bernd ; dutoit, allen ( 2009 ). object - oriented software engineerin... | Software engineering | wikipedia |
, which attached to the magnetic column, are washed out to a separate vessel, after removing the column from the magnetic field. this method is useful for isolation of a particular cell type, for instance cd4 lymphocytes. moreover, it enables early detection of sperm which initiate apoptosis, although they may show an ... | Magnetic-activated cell sorting | wikipedia |
oceanography and marine biology : an annual review is an annual review of oceanography and marine biology that has been published since 1963. it was originally edited by harold barnes. it was originally published by aberdeen university press and allen & unwin but is now published by crc press, part of taylor & francis.... | Oceanography and Marine Biology: An Annual Review | wikipedia |
w. harmon ray, professor - university of wisconsin 2022 : announced at nascre - 5 = = = rutherford aris young investigator award in chemical reaction engineering = = = in 2016, the iscre, inc. board of directors will bestow the first rutherford aris young investigator award for excellence in chemical reaction engineeri... | Chemical reaction engineering | wikipedia |
##tyle \ min _ { \ beta \ in \ mathbb { r } ^ { p } } \ left \ { { \ frac { 1 } { n } } \ left \ | y - x \ beta \ right \ | _ { 2 } ^ { 2 } + \ lambda \ | \ beta \ | _ { 1 } \ right \ } } where the exact relationship between t { \ displaystyle t } and λ { \ displaystyle \ lambda } is data dependent. = = = orthonormal c... | Lasso (statistics) | wikipedia |
course with the regional office for the eastern mediterranean in cairo. all in all, goarn carried out 188 missions to 27 countries to strengthen international coordination between these organizations and to improve international capacity to respond to threats. its activities consisted of assessment of the situation, co... | Global Outbreak Alert and Response Network | wikipedia |
: r ( w ) ≡ x } { \ displaystyle \ forall x, e ( x ) = \ { w : r ( w ) \ equiv x \ } } a theory is a simpler condition that explains ( or implies ) c. the set of all such theories is called t, t ( c ) = { t : t → c } { \ displaystyle t ( c ) = \ { t : t \ to c \ } } = = = = applying bayes'theorem = = = = extended form ... | Inductive probability | wikipedia |
property of the algorithm is that no strongly connected component will be identified before any of its successors. therefore, the order in which the strongly connected components are identified constitutes a reverse topological sort of the dag formed by the strongly connected components. donald knuth described tarjan's... | Tarjan's algorithm | wikipedia |
##tyle g }, and initial conditions u ( 0, x ), ∂ t u ( 0, x ) { \ displaystyle u ( 0, x ), \ partial _ { t } u ( 0, x ) }, the solution to the homogeneous wave equation is u = ( ∂ t g ) ∗ u + g ∗ ∂ t u { \ displaystyle u = ( \ partial _ { t } g ) \ ast u + g \ ast \ partial _ { t } u } where the asterisk is convolution... | Three-wave equation | wikipedia |
the causes of evolution is a 1932 book on evolution by j. b. s. haldane ( 1990 edition isbn 0 - 691 - 02442 - 1 ), based on a series of january 1931 lectures entitled " a re - examination of darwinism ". it was influential in the founding of population genetics and the modern synthesis. = = chapters = = it contains the... | The Causes of Evolution | wikipedia |
lesk algorithm is a classical algorithm for word sense disambiguation introduced by michael e. lesk in 1986. it operates on the premise that words within a given context are likely to share a common meaning. this algorithm compares the dictionary definitions of an ambiguous word with the words in its surrounding contex... | Lesk algorithm | wikipedia |
h, \ exists i } between 1 { \ displaystyle 1 } and t { \ displaystyle t } with h i ( x k ) = h ( x k ) { \ displaystyle h _ { i } ( x _ { k } ) = h ( x _ { k } ) } for 1 ≤ k ≤ 2 m. { \ displaystyle 1 \ leq k \ leq 2m. } we see that σ ( x ) ∈ r { \ displaystyle \ sigma ( x ) \ in r } iff for some h { \ displaystyle h } ... | Uniform convergence in probability | wikipedia |
( s ) will usually make it clear whether a subscript is intended as an index or as a label. for example, in 3 - d euclidean space and using cartesian coordinates ; the coordinate vector a = ( a1, a2, a3 ) = ( ax, ay, az ) shows a direct correspondence between the subscripts 1, 2, 3 and the labels x, y, z. in the expres... | Tensor calculus | wikipedia |
\ big ( } f ( \ phi ( x _ { i } ) - \ phi ( x _ { j } ) ) = f ( { \ tilde { x } } _ { i } - { \ tilde { x } } _ { j } ) { \ big ) } _ { i, j } } where x ~ k : = ( x k ) { \ displaystyle { \ tilde { x } } _ { k } : = \ phi ( x _ { k } ) } are distinct as { \ displaystyle \ phi } is linear. = = = bochner's theorem = = = ... | Positive-definite function | wikipedia |
| m ). this measure is " conditional " on object m being present, therefore, when combining these quantities into the overall similarity measure, l, they are multiplied by r ( m ), which represent a probabilistic measure of object m actually being present. combining these elements with the two principles noted above, a... | Neural modeling fields | wikipedia |
= = decomposition rank = = = the rank of a is the smallest positive integer k such that a can be factored as a = c r { \ displaystyle a = cr }, where c is an m × k matrix and r is a k × n matrix. in fact, for all integers k, the following are equivalent : the column rank of a is less than or equal to k, there exist k c... | Rank (linear algebra) | wikipedia |
sum of all elements of their hadamard product. phrased directly, if a and b are two m × n matrices, then : tr ( a t b ) = tr ( a b t ) = tr ( b t a ) = tr ( b a t ) = i = 1 m j = 1 n a i j b i j. { \ displaystyle \ operatorname { tr } \ left ( \ mathbf { a } ^ { \ mathsf { t } } \ mathbf { b } \ right ) = \ operatornam... | Trace (linear algebra) | wikipedia |
normalize this vector as well so that its entries sum to one, this is not usually done. noting that each entry contains the probability of the future event sequence given a particular initial state, normalizing this vector would be equivalent to applying bayes'theorem to find the likelihood of each initial state given ... | Forward–backward algorithm | wikipedia |
and monographs. vol. 145. new york : marcel dekker, inc. isbn 0 - 8247 - 9341 - 2. pan, jianxin ; fang, kaitai ( 2007 ). growth curve models and statistical diagnostics. mathematical monograph series. vol. 8. beijing : science press. isbn 9780387950532. timm, neil h. ( 2002 ). " " the general manova model ( gmanova ) "... | Growth curve (statistics) | wikipedia |
in mathematics, a heyting algebra ( also known as pseudo - boolean algebra ) is a bounded lattice ( with join and meet operations written ∨ and ∧ and with least element 0 and greatest element 1 ) equipped with a binary operation a → b called implication such that ( c ∧ a ) ≤ b is equivalent to c ≤ ( a → b ). from a log... | Complete Heyting algebra | wikipedia |
in mathematics, an element of a * - algebra is called normal if it commutates with its adjoint. = = definition = = let a { \ displaystyle { \ mathcal { a } } } be a * - algebra. an element a ∈ a { \ displaystyle a \ in { \ mathcal { a } } } is called normal if it commutes with a ∗ { \ displaystyle a ^ { * } }, i. e. it... | Normal element | wikipedia |
. the ability to conduct whole genome sequencing of parents and offspring allows for the comparison of mutation rates between generations, narrowing down the origin possibilities of certain genetic disorders. = = see also = = = = references = = = = external links = = jones s, woolfson a, partridge l ( 6 december 2007 )... | DNA error | wikipedia |
be acquired, quality controlled, and archived. working with international institutions such as the international council of scientific unions, the world data centers, and the world meteorological organization, ncdc develops standards by which data can be exchanged and made accessible. ncdc provides the historical persp... | National Climatic Data Center | wikipedia |
γ j ( k = 0 n − 1 γ k r j + k + γ n v π θ ( s j + n ) − v π θ ( s j ) ) { \ textstyle \ gamma ^ { j } \ left ( \ sum _ { k = 0 } ^ { n - 1 } \ gamma ^ { k } r _ { j + k } + \ gamma ^ { n } v ^ { \ pi _ { \ theta } } ( s _ { j + n } ) - v ^ { \ pi _ { \ theta } } ( s _ { j } ) \ right ) } : td ( n ) learning. γ j n = 1 ... | Actor-critic algorithm | wikipedia |
k _ { \ mathrm { mineral } } - k _ { \ mathrm { sat } } ^ { ( 1 ) } } } } and f 1 = k f l u i d ( 1 ) ( k m i n e r a l − k f l u i d ( 1 ) ) f 2 = k f l u i d ( 2 ) ( k m i n e r a l − k f l u i d ( 2 ) ) { \ displaystyle f _ { 1 } = { \ frac { k _ { \ mathrm { fluid } } ^ { ( 1 ) } } { \ phi ( k _ { \ mathrm { minera... | Gassmann's equation | wikipedia |
##riminating the two only by visual inspection is not possible. in some tasks, machine learning may not able to fully substitute manual work by a human. = = = black - box operation = = = in many machine learning algorithms, for example, artificial neural network ( ann ), it is considered as'black box'approach as clear ... | Machine learning in earth sciences | wikipedia |
massively parallel processors, not sequential processors. to model nervous systems accurately, in real - time, alternative hardware is required. the most realistic circuits to date make use of analog properties of existing digital electronics ( operated under non - standard conditions ) to realize hodgkin – huxley - ty... | Models of neural computation | wikipedia |
base that has been little used for sequencing analyzes of the 16s region, however, it has a greater number of sequences classified taxonomically down to the genus level compared to silva and greengenes. however, in terms of classification at the edge level, it contains a lesser amount of information = = = = ribosomal d... | Machine learning in bioinformatics | wikipedia |
z, w ) = \ operatorname { nw } ( x, y ) } is the optimal alignment of ( x, y ) { \ displaystyle ( x, y ) }, and x = x l + x r { \ displaystyle x = x ^ { l } + x ^ { r } } is an arbitrary partition of x { \ displaystyle x }, there exists a partition y l + y r { \ displaystyle y ^ { l } + y ^ { r } } of y { \ displaystyl... | Hirschberg's algorithm | wikipedia |
##01. springer, t. a. ( 1973 ). jordan algebras and algebraic groups. ergebnisse der mathematik und ihrer grenzgebiete. vol. 75. berlin - heidelberg - new york : springer - verlag. isbn 3 - 540 - 06104 - 5. zbl 0259. 17003. | J-structure | wikipedia |
rare cancer mutations. however, dpcr was difficult to perform ; it was labor - intensive, required a lot of training to do properly, and was difficult to do in large quantities. in 2003, kinzler and vogelstein continued to refine dpcr and created an improved method that they called beaming technology, an acronym for “ ... | Digital polymerase chain reaction | wikipedia |
, at which point a screen for modifiers of the aberrant phenotype can take place. = = enhancer trapping = = enhancer trapping involves the insertion of a reporter gene, such as lac - z or gfp, into the promoter region a desired gene, so that whenever the gene is expressed, it can be monitored by said reporter, giving a... | Fine structure genetics | wikipedia |
( i ) { \ displaystyle k _ { a } ^ { ( i ) } } are any choice of kraus operators for e i { \ displaystyle { \ mathcal { e } } _ { i } }, e i ( ρ ) = a k a ( i ) ρ k a ( i ) †. { \ displaystyle { \ mathcal { e } } _ { i } ( \ rho ) = \ sum _ { a } k _ { a } ^ { ( i ) } \ rho k _ { a } ^ { ( i ) \ dagger }. } the kraus o... | Quantum instrument | wikipedia |
##os algorithm and the raft algorithm. distributed search leader election leader election is the process of designating a single process as the organizer of some task distributed among several computers ( nodes ). before the task is begun, all network nodes are unaware of which node will serve as the " leader, " or coo... | Distributed algorithm | wikipedia |
busche stated the identity σ k ( m ) σ k ( n ) = d ( m, n ) σ k ( m n / d 2 ) d k, { \ displaystyle \ sigma _ { k } ( m ) \ sigma _ { k } ( n ) = \ sum _ { d \ mid ( m, n ) } \ sigma _ { k } ( mn / d ^ { 2 } ) d ^ { k }, } and, in 1915, s. ramanujan gave the inverse form σ k ( m n ) = d ( m, n ) σ k ( m / d ) σ k ( n /... | Multiplicative function | wikipedia |
##l agents, and ( in 1 % to 10 % of cases ) can cause unpleasant side effects. = = see also = = epstein – barr virus infection epstein – barr virus - associated lymphoproliferative diseases james corson niederman, the physician who proved how the epstein – barr virus is transmitted in infectious mononucleosis = = refer... | Epstein–Barr virus small nucleolar RNA 1 | wikipedia |
}, which is the ordered product of the segment propagators : u global = u hc u h u ch u c { \ displaystyle { u } _ { \ text { global } } ~ ~ = ~ ~ { u } _ { \ text { hc } } { u } _ { \ text { h } } { u } _ { \ text { ch } } { u } _ { \ text { c } } } the propagators are linear operators defined on a vector space which ... | Quantum heat engines and refrigerators | wikipedia |
##nt. the method was first proposed by lowry in 1951. the bicinchoninic acid assay and the hartree – lowry assay are subsequent modifications of the original lowry procedure. = = see also = = biuret test bradford protein assay = = references = = walker, j. m. ( 2002 ). the protein protocols handbook. totowa, n. j : hum... | Lowry protein assay | wikipedia |
##q x _ { \ bar { q } } } then compute ( x, y ) { \ displaystyle ( x, y ) }. for 1 ≤ t ≤ ( l − 1 ) / 2 { \ displaystyle 1 \ leq { \ bar { t } } \ leq ( l - 1 ) / 2 } do : if x = x t q { \ displaystyle x = x _ { \ bar { t } } ^ { q } } then if y = y t q { \ displaystyle y = y _ { \ bar { t } } ^ { q } } then t l = t { \... | Schoof's algorithm | wikipedia |
beta & { \ overline { \ alpha } } \ end { pmatrix } } : \ \ \ alpha, \ beta \ in \ mathbb { c }, \ \ | \ alpha | ^ { 2 } + | \ beta | ^ { 2 } = 1 \ right \ } ~ } where the overline denotes complex conjugation. finally, recognizing that the set of unitary transformations on c 2 { \ displaystyle \ mathbb { c } ^ { 2 } } ... | Jones calculus | wikipedia |
in field theory, a primitive element of a finite field gf ( q ) is a generator of the multiplicative group of the field. in other words, α ∈ gf ( q ) is called a primitive element if it is a primitive ( q − 1 ) th root of unity in gf ( q ) ; this means that each non - zero element of gf ( q ) can be written as αi for s... | Primitive element (finite field) | wikipedia |
simple transfer, it is no longer essential for signals to fully propagate within a cycle ; they merely need to arrive coherently, marshaled by a special signal called " strobe ". this reduced requirement on signal integrity allows the qdr data transfer to occur at twice the speed of the clock, as opposed to at the same... | Quad data rate | wikipedia |
in mathematics, specifically in functional and complex analysis, the disk algebra a ( d ) ( also spelled disc algebra ) is the set of holomorphic functions ƒ : d → c { \ displaystyle \ mathbb { c } } ( where d is the open unit disk in the complex plane c { \ displaystyle \ mathbb { c } } ) that extend to a continuous f... | Disk algebra | wikipedia |
##0907074456 / http : / / mips. gsf. de / proj / biorel / biorel is a web - based resource for quantitative estimation of the gene network bias in relation to available database information about gene activity / function / properties / associations / interactio. evolving biological clocks using genetic regulatory netwo... | Gene regulatory network | wikipedia |
the british museum algorithm is a general approach to finding a solution by checking all possibilities one by one, beginning with the smallest. the term refers to a conceptual, not a practical, technique where the number of possibilities is enormous. newell, shaw, and simon called this procedure the british museum algo... | British Museum algorithm | wikipedia |
table compilation. † these benchmark run times are not comparable with others due to differing levels of detail. = = model calibration software = = model calibration is a key activity when developing systems biology models. this table highlights some of the current model calibration tools available to systems biology m... | List of systems biology modeling software | wikipedia |
mathbf { r } _ { i } - \ mathbf { r } ) + \ mathbf { v }, } where ω is the angular velocity vector of the body. = = = virtual work = = = work is computed from the dot product of each force with the displacement of its point of contact δ w = i = 1 n f i ⋅ δ r i. { \ displaystyle \ delta w = \ sum _ { i = 1 } ^ { n } \ m... | Rigid body mechanics | wikipedia |
r } ^ { n } }, at u ∈ m { \ displaystyle u \ in m }, if the following inequalities hold for all x ∈ f e = { x ∈ r n | g ( e ( x ) ) ≤ 0 } { \ displaystyle x \ in f _ { e } = \ { x \ in \ mathbb { r } ^ { n } \ ; | \ ; g ( e ( x ) ) \ leq 0 \ } } : f i ( e ( x ) ) − f i ( e ( u ) ) ≥ ∇ f i ( e ( u ) ) ⋅ η ( e ( x ), e (... | Invex function | wikipedia |
dm ) watertables the yield is unaffected. the graph is made using the method of least squares to find the two segments with the best fit. the graph on the right reveals that crop yields tolerate a soil salinity up to ece = 8 ds / m ( ece is the electric conductivity of an extract of a saturated soil sample ), while bey... | Piecewise linear function | wikipedia |
calculus of broadcasting systems ( cbs ) is a ccs - like calculus where processes speak one at a time and each is heard instantaneously by all others. speech is autonomous, contention between speakers being resolved nondeterministically, but hearing only happens when someone else speaks. observationally meaningful laws... | Calculus of broadcasting systems | wikipedia |
during seismic exploration, p - waves ( also known as primary or compressive waves ) penetrate down into the earth. due to mode conversion, a p - wave can reflect upwards as an s - wave ( also known as a secondary, shear or transverse wave ) when it hits an interface ( e. g., solid - liquid ). other p - wave to s - wav... | Converted-wave analysis | wikipedia |
structure prediction in genome annotation, specifically in identifying functional protein isoforms using computationally predicted structures, available at https : / / www. isoform. io. this study highlights the promise of protein structure prediction as a genome annotation tool and presents a practical, structure - gu... | De novo protein structure prediction | wikipedia |
in quantum mechanics, the redfield equation is a markovian master equation that describes the time evolution of the reduced density matrix ρ of a strongly coupled quantum system that is weakly coupled to an environment. the equation is named after alfred g. redfield, who first applied it, doing so for nuclear magnetic ... | Redfield equation | wikipedia |
= \ mathbb { p } ( a _ { 4 } \ mid a _ { 3 } \ cap a _ { 2 } \ cap a _ { 1 } ) \ mathbb { p } ( a _ { 3 } \ mid a _ { 2 } \ cap a _ { 1 } ) \ mathbb { p } ( a _ { 2 } \ mid a _ { 1 } ) \ mathbb { p } ( a _ { 1 } ) \ end { aligned } } }. = = = = example 2 = = = = we randomly draw 4 cards ( one at a time ) without replac... | Chain rule (probability) | wikipedia |
) is common after hospital discharge in older adults, but methodological inconsistencies between studies and a paucity of data on risk factors limits clear understanding of the epidemiology. there was a wide range in incidence, from 0. 4 % to 51. 2 % of participants, and 35 % to 59 % of harm was preventable. medication... | Adverse drug reaction | wikipedia |
= = browne, j. et al. " classification of flexible manufacturing systems ", the fms magazine 1984 april, 114 – 117. sethi, a. k. and sethi, s. p. " flexibility in manufacturing : a survey ", the international journal of flexible manufacturing systems 1990 2, 289 – 328. = = references = = | Flexibility (engineering) | wikipedia |
master thesis and a collection of resources about rigid body dynamics. f. klein, " note on the connection between line geometry and the mechanics of rigid bodies " ( english translation ) f. klein, " on sir robert ball's theory of screws " ( english translation ) e. cotton, " application of cayley geometry to the geome... | Rigid body mechanics | wikipedia |
{ - 1 } d ( s ) \ mathrm { d } w _ { s } \ right ) } where φ t, t 0 = exp ( t 0 t ( a ( s ) − b 2 ( s ) 2 ) d s + t 0 t b ( s ) d w s ) { \ displaystyle \ phi _ { t, t _ { 0 } } = \ exp \ left ( \ int _ { t _ { 0 } } ^ { t } \ left ( a ( s ) - { \ frac { b ^ { 2 } ( s ) } { 2 } } \ right ) \ mathrm { d } s + \ int _ { ... | Stochastic differential equation | wikipedia |
: 55 – 56. retrieved 3 october 2022. reprinted in gesammelte werke, vol. 2, 2nd ed. providence, rhode island : american mathematical society, pp. 25 - 26, 1969. whittaker, e. t. and watson, g. n. : a course in modern analysis, 4th ed. reprinted cambridge, england : cambridge university press, 1963, pp. 429 - 535. chapt... | Doubly periodic function | wikipedia |
in mathematics and mathematical physics, a factorization algebra is an algebraic structure first introduced by beilinson and drinfel'd in an algebro - geometric setting as a reformulation of chiral algebras, and also studied in a more general setting by costello and gwilliam to study quantum field theory. = = definitio... | Factorization algebra | wikipedia |
on computability, complexity and randomness ( ccr 2015 ) conference, 22 – 26 june 2015, heidelberg, germany. cristian s. calude, michael j. dinneen, and chi - kou shu. computing a glimpse of randomness. = = further reading = = ming li and paul vitanyi ( 1997 ). an introduction to kolmogorov complexity and its applicati... | Universality probability | wikipedia |
{ m - s + 1 } } } = = = step 2 : the root - finding step = = = during this step, our task focus on how to find all polynomials f ∈ f q [ x ] { \ displaystyle f \ in { \ mathbb { f } _ { q } [ x ] } } with degree no more than k − 1 { \ displaystyle k - 1 } and satisfy the equation we get from step 1, namely a 0 ( x ) + ... | Folded Reed–Solomon code | wikipedia |
in coding theory, triangular network coding ( tnc ) is a non - linear network coding based packet coding scheme introduced by qureshi, foh & cai ( 2012 ). previously, packet coding for network coding was done using linear network coding ( lnc ). the drawback of lnc over large finite field is that it resulted in high en... | Triangular network coding | wikipedia |
in network theory, brandes'algorithm is an algorithm for calculating the betweenness centrality of vertices in a graph. the algorithm was first published in 2001 by ulrik brandes. betweenness centrality, along with other measures of centrality, is an important measure in many real - world networks, such as social netwo... | Brandes' algorithm | wikipedia |
in field theory, a branch of mathematics, the stufe ( / ʃtuːfə / ; german : level ) s ( f ) of a field f is the least number of squares that sum to −1. if −1 cannot be written as a sum of squares, s ( f ) = ∞ { \ displaystyle \ infty }. in this case, f is a formally real field. albrecht pfister proved that the stufe, i... | Stufe (algebra) | wikipedia |
σ 1 ( p ) = p + 1 { \ displaystyle { \ begin { aligned } \ sigma _ { 0 } ( p ) & = 2 \ \ \ sigma _ { 0 } ( p ^ { n } ) & = n + 1 \ \ \ sigma _ { 1 } ( p ) & = p + 1 \ end { aligned } } } because by definition, the factors of a prime number are 1 and itself. also, where pn # denotes the primorial, σ 0 ( p n # ) = 2 n { ... | Divisor function | wikipedia |
the general data format for biomedical signals is a scientific and medical data file format. the aim of gdf is to combine and integrate the best features of all biosignal file formats into a single file format. the original gdf specification was introduced in 2005 as a new data format to overcome some of the limitation... | General Data Format for Biomedical Signals | wikipedia |
a software supply chain is the components, libraries, tools, and processes used to develop, build, and publish a software artifact. a software bill of materials ( sbom ) declares the inventory of components used to build a software artifact, including any open source and proprietary software components. it is the softw... | Supply-chain-management software | wikipedia |
##1 kelley, n. j. ( 2014 ). the promise and challenge of engineering biology in the united states. industrial biotechnology, 10 ( 3 ), 137 – 139. doi : 10. 1089 / ind. 2014. 1516 ↑ beal, j., weiss, r., densmore, d., adler, a., babb, j., bhatia, s.,... & loyall, j. ( 2011, june ). tasbe : a tool - chain to accelerate sy... | Engineering biology | wikipedia |
begin { aligned } \ sum _ { n \ leq x } \ omega ( n ) & = x \ log \ log x + b _ { 1 } x + o ( x ) \ \ \ sum _ { n \ leq x } \ omega ( n ) & = x \ log \ log x + b _ { 2 } x + o ( x ) \ \ \ sum _ { n \ leq x } \ omega ( n ) ^ { 2 } & = x ( \ log \ log x ) ^ { 2 } + o ( x \ log \ log x ) \ \ \ sum _ { n \ leq x } \ omega ... | Prime omega function | wikipedia |
= = = computer stereo vision = = = stereo matching is an essential step in the process of 3d reconstruction from a pair of stereo images. when images have been rectified, an analogy can be drawn between aligning nucleotide and protein sequences and matching pixels belonging to scan lines, since both tasks aim at establ... | Needleman–Wunsch algorithm | wikipedia |
a single working fluid cycling around the engine. on one side, the working fluid has temperature t h ′ { \ displaystyle t _ { h }'}, and is in direct contact with the hot heat bath. on the other side, it has temperature t l ′ { \ displaystyle t _ { l }'}, and is in direct contact with the cold heat bath. the heat flow ... | Endoreversible thermodynamics | wikipedia |
p21, it was demonstrated that radiated cells progressed into mitosis. the absence of p21 or 14 - 3 - 3 cannot sufficiently inhibit the cyclinb - cdc2 complex, thus exhibiting the regulatory control of p53 and p21 in the g2 checkpoint in response to dna damage. p53 mutations can result in a significant checkpoint defici... | G2-M DNA damage checkpoint | wikipedia |
home designer as the successor to 3d home architect. in 2009, the company replaced better homes and gardens name with home designer. in february 2014, the company released its first macos compatible version for the professional design market. this release is engineered in a way that allows users to run a single license... | Chief Architect Software | wikipedia |
variable structure control ( vsc ) is a form of discontinuous nonlinear control. the method alters the dynamics of a nonlinear system by application of a high - frequency switching control. the state - feedback control law is not a continuous function of time ; it switches from one smooth condition to another. so the s... | Variable structure control | wikipedia |
as almost bent functions and crooked functions. while not bent functions themselves ( these are not even boolean functions ), they are closely related to the bent functions and have good nonlinearity properties. = = see also = = correlation immunity = = references = = = = further reading = = c. carlet ( may 1993 ). two... | Bent function | wikipedia |
\ displaystyle \ delta e _ { 2, 1, m _ { \ ell } } = \ pm | e | \ hbar ^ { 2 } / ( m _ { e } e ^ { 2 } ) e }. = = see also = = density of states = = references = = = = further reading = = cohen - tannoudji, claude ; diu, bernard ; laloe, franck. quantum mechanics. vol. 1. hermann. isbn 978 - 2 - 7056 - 8392 - 4. shanka... | Degenerate energy levels | wikipedia |
is by the coordinate vector ( a1,..., am ) or by the column matrix [ a 1 a m ]. { \ displaystyle { \ begin { bmatrix } a _ { 1 } \ \ \ vdots \ \ a _ { m } \ end { bmatrix } }. } if w is another finite dimensional vector space ( possibly the same ), with a basis ( w1,..., wn ), a linear map f from w to v is well defined... | Linear algebra | wikipedia |
the researcher 3d - printed a stanford bunny which contains its blueprint in the plastic filament used for printing. by clipping off a tiny bit of the ear of the bunny, they were able to read out the blueprint, multiply it and produce a next generation of bunnies. in addition, the ability of dot to serve for steganogra... | DNA digital data storage | wikipedia |
{ 3 } ( t ) } starting with equation 2, you can rearrange it so that e 3 = e 1 − e 2 − e 4 { \ displaystyle e _ { 3 } = e _ { 1 } - e _ { 2 } - e _ { 4 } }. e 2 { \ displaystyle e _ { 2 } } can be substituted for equation 4, while in equation 4, f 2 { \ displaystyle f _ { 2 } } can be replaced by f 3 { \ displaystyle f... | Bond graph | wikipedia |
- local games to the degree of contextuality required by the strategy and an appropriate measure of the difficulty of the game. similarly the inequality arises in a transformation - based model of quantum computation analogous to l2 - mbqc where it relates the degree of sequential contextuality present in the dynamics ... | Quantum contextuality | wikipedia |
reference genome. it is not uncommon to translate rna sequence into protein sequence when using transcriptomic data, especially when analyzing highly diverged taxa. this is an intuitive step as many ( but not all ) transcripts are expected to code for protein isoforms. potential benefits include the reduction of mutati... | Phylogenetic inference using transcriptomic data | wikipedia |
; the above can be brought into four - component form ( see that article for details ). similarly, the left - chiral majorana equation ( including an arbitrary phase factor ζ { \ displaystyle \ zeta } ) is i σ μ ∂ μ ψ l ( x ) + ζ m ω ψ l ∗ ( x ) = 0 { \ displaystyle i { \ overline { \ sigma } } ^ { \ mu } \ partial _ {... | Weyl equation | wikipedia |
] | ψ ( t ) ⟩ = 0. { \ displaystyle { \ frac { \ partial } { \ partial t } } \ langle \ psi ( t ) | g | \ psi ( t ) \ rangle = { \ frac { 1 } { i \ hbar } } \ langle \ psi ( t ) | [ g, h ] | \ psi ( t ) \ rangle = 0. } in obtaining this result, we have used the schrodinger equation, as well as its dual, ⟨ ψ ( t ) | h =... | Hamiltonian (quantum mechanics) | wikipedia |
in thermodynamics, a departure function is defined for any thermodynamic property as the difference between the property as computed for an ideal gas and the property of the species as it exists in the real world, for a specified temperature t and pressure p. common departure functions include those for enthalpy, entro... | Departure function | wikipedia |
of cells to be sequenced in order to assess cellular heterogeneity. = = single - cell hi - c = = chromosome conformation capture techniques ( often abbreviated to 3c technologies or 3c - based methods ) are a set of molecular biology methods used to analyze the spatial organization of chromatin in a cell. these methods... | Single cell epigenomics | wikipedia |
a class ii gene is a type of gene that codes for a protein. class ii genes are transcribed by rnap ii. class ii genes have a promoter that may contain a tata box. basal transcription of class ii genes requires the formation of a preinitiation complex. they are transcribed by rna polymerase ii, include both intron and e... | Class II gene | wikipedia |
carnivores, the use of non - invasive approaches is crucial especially when dealing with elusive and endangered species. diet assessment through dna barcoding of faeces can have a greater efficiency in prey species detection compared to traditional diet analysis, which mostly rely upon the morphological identification ... | DNA barcoding in diet assessment | wikipedia |
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