id
int32
0
100k
text
stringlengths
20
3.54k
source
stringlengths
1
104
similarity
float32
0.8
0.91
96,700
Values are derived from peak ground acceleration and duration of the shaking, which are themselves influenced by factors such as distance to and depth of the hypocenter (focus), local soil conditions, and nature of the geology in between, as well as the event's magnitude; every quake thus entails numerous intensities. ...
JMA seismic intensity
0.796483
96,701
Neurochemistry International. Brain in Flux-III. 123: 50–58.
Parastoo Hashemi
0.796483
96,702
Database management system (DBMS) – software package with computer programs that control the creation, maintenance, and use of a database. Database connection – facility in computer science that allows client software to communicate with database server software, whether on the same machine or not. Datasource – name gi...
Outline of databases
0.796483
96,703
The Fano matroid F 7 {\displaystyle F_{7}} is formed by taking the Fano plane's points as the ground set, and the three-element noncollinear subsets as bases. The Fano plane is one of the important examples in the structure theory of matroids. Excluding the Fano plane as a matroid minor is necessary to characterize sev...
Fano plane
0.796483
96,704
Bauer: Stack principle, popularized the term Software Engineering Kent Beck: Refactoring, extreme programming, pair programming, test-driven development. Tim Berners-Lee: World Wide Web Barry Boehm: SE economics, COCOMO, Spiral model. Grady Booch: Object-oriented design, UML.
Outline of software engineering
0.796483
96,705
Neil Calkin was born 29 March 1961, in Hartford, Connecticut and moved to the UK around the age of 3. He grew up there and studied mathematics at Trinity College Cambridge before moving to Canada in 1984 to study in the Department of Combinatorics and Optimization at the University of Waterloo where he was awarded a Ph...
Neil J. Calkin
0.796482
96,706
For example, an actuary has an accident and payroll historical data for a shoe factory suggesting a rate of 3.1 accidents per million dollars of payroll. She has industry statistics (based on all shoe factories) suggesting that the rate is 7.4 accidents per million. With a credibility, Z, of 30%, she would estimate the...
Credibility theory
0.796482
96,707
{{cite journal}}: Cite journal requires |journal= (help) Carmeli, Moshe (1995). "Cosmological Relativity: A Special Relativity for Cosmology". Foundations of Physics.
Moshe Carmeli
0.796481
96,708
An instance of the rule is σ A 1 , … , σ A n / σ B {\displaystyle \sigma A_{1},\dots ,\sigma A_{n}/\sigma B} for a substitution σ. The rule Γ/B is derivable in ⊢ {\displaystyle \vdash } , if Γ ⊢ B {\displaystyle \Gamma \vdash B} . It is admissible if for every instance of the rule, σB is a theorem whenever all formulas...
Admissible rule
0.796481
96,709
All silks become brittle with age, but weighted silks decay more quickly, and thus must be handled with extreme care. Additionally, some silks, once wet, can be permanently spotted, creating water stains that are difficult to remove. Colourants of the textile – a textile's colourants includes dyes, but also the mordant...
Textile preservation
0.796481
96,710
The top often features a flared lip to aid pouring out the contents. A chemistry test tube typically has a flat bottom, a round bottom, or a conical bottom. Some test tubes are made to accept a ground glass stopper or a screw cap.
Sample tubes
0.796481
96,711
Geometry Shader: Processes entire primitives such as triangles, points, or lines. Given a primitive, this stage discards it, or generates one or more new primitives.
Direct3D Mobile
0.796481
96,712
In bicycles, the steering axis angle is measured from the horizontal and called the head angle; a 90° head angle would be vertical. For example, Lemond offers: a 2007 Filmore, designed for the track, with a head angle that varies from 72.5° to 74° depending on frame size a 2006 Tete de Course, designed for road racing,...
Mechanical trail
0.79648
96,713
In the field of hyperbolic geometry, the order-5 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is paracompact because it has cells composed of an infinite number of faces. Each cell consists of a hexagonal tiling whose vertices lie on a horosphere, a...
Cantellated order-5 hexagonal honeycomb
0.79648
96,714
As illustrated in the circulating oscillations in the figure above, the level curves are closed orbits surrounding the fixed point: the levels of the predator and prey populations cycle and oscillate without damping around the fixed point with frequency ω = α γ {\displaystyle \omega ={\sqrt {\alpha \gamma }}} . The val...
Predator–prey equations
0.79648
96,715
One medal per year was the usual practise, although two medals were awarded in both 1867 and 1886. To ensure balance in research areas, in 1964 the award was expanded to two medals per year, one in astronomy (including astrophysics, cosmology etc.) and one in geophysics (including planetary science, tectonics etc.), wh...
Gold Medal of the Royal Astronomical Society
0.79648
96,716
Water level monitoring The Coal Authority has significant experience gained in monitoring an extensive mine water treatment scheme portfolio Engineering design It has a team experienced in engineering design, with many years of providing the critical information required to complete complex civil engineering projects. ...
Coal Authority
0.79648
96,717
Lab experiments on the photochemistry of simple interstellar ices have produced amino acids. The similarity between interstellar and cometary ices (as well as comparisons of gas phase compounds) have been invoked as indicators of a connection between interstellar and cometary chemistry. This is somewhat supported by th...
Interstellar chemistry
0.79648
96,718
Ginsberg's theorem is a parody of the laws of thermodynamics in terms of a person playing a game. The quote was first attributed to the poet Allen Ginsberg in a 1975 issue of the Coevolution Quarterly.It is possible that the quote originates as a slight misstatement of the opening lines of "You Can't Win," by Charlie S...
Ginsberg's theorem
0.79648
96,719
This descriptive climatology was mainly an applied science, giving farmers and other interested people statistics about what the normal weather was and how great chances were of extreme events. To do this, climatologists had to define a climate normal, or an average of weather and weather extremes over a period of typi...
Climatology
0.79648
96,720
Since 1879, the National Library of Medicine has published the Index Medicus, a monthly guide to articles, in nearly five thousand selected journals. The last issue of Index Medicus was printed in December 2004, but this information is offered in the freely accessible PubMed, among the more than fifteen million MEDLINE...
United States National Library of Medicine
0.79648
96,721
In computer science, domain relational calculus (DRC) is a calculus that was introduced by Michel Lacroix and Alain Pirotte as a declarative database query language for the relational data model.In DRC, queries have the form: { ⟨ X 1 , X 2 , . . . .
Domain relational calculus
0.796479
96,722
Computational sustainability is an emerging field that attempts to balance societal, economic, and environmental resources for the future well-being of humanity using methods from mathematics, computer science, and information science fields. Sustainability in this context refers to the world's ability to sustain biolo...
Computational Sustainability
0.796479
96,723
This approach however, by its very nature, does not allow for human-in-the-loop reporting, potentially leading to false positives if the reports are not verified by public health agencies. : p. 6 The TCN protocol received notoriety as one of the first widely released digital contact tracing protocols alongside BlueTrac...
TCN Protocol
0.796479
96,724
He won the first prize on the International Mathematical Olympiad in 1966 (Bulgaria) and second prize in 1965 (Germany).He started his Mathematics studies at ELTE University in 1966, and graduated in 1971. From 1971 to 1982 he worked at the Department of Mathematical Analysis at ELTE University, and he obtained a docto...
Lajos Pósa (mathematician)
0.796478
96,725
In 2004, Dr. Gonzalez launched a senior biomedical engineering design project known as LeTourneau Engineering Global Solutions (LEGS). The challenge was to design and build a low-cost above-the-knee (AK) prosthetic that was durable, maintenance-free and could be easily manufactured in developing countries. “Our goal wa...
LeTourneau Empowering Global Solutions
0.796478
96,726
The stereochemistry of the Staudinger synthesis can be difficult to predict because either step can be rate-determining. If the ring closure step is rate-determining, stereochemical predictions based on torquoselectivity are reliable. Other factors that affect the stereochemistry include the initial regiochemistry of t...
Staudinger synthesis
0.796478
96,727
A year later, the administration called for comments on regulation in another draft of its Guidance for Regulation of Artificial Intelligence Applications.Other specific agencies working on the regulation of AI include the Food and Drug Administration, which has created pathways to regulate the incorporation of AI in m...
Regulation of artificial intelligence
0.796478
96,728
Those exchanges led to the publication of my first paper, and I became his thirteenth coauthor. By the time Joel had left UBC in the spring of 1967, I was firmly entrenched in matrix theory. : 3 In 1981 Brenner and Roger Lyndon collaborated to polish an idea due to H. W. Kuhn for proving the fundamental theorem of alge...
Joel Lee Brenner
0.796477
96,729
Nanotechnology (sometimes shortened to nanotech) is the manipulation of matter on an atomic, molecular, and supramolecular scale. The earliest widespread description of nanotechnology referred to the particular technological goal of precisely manipulating atoms and molecules for fabrication of macroscale products, also...
Bleeding edge technology
0.796477
96,730
It is possible to treat different kinds of Kolmogorov complexity as particular cases of axiomatically defined generalized Kolmogorov complexity. Instead of proving similar theorems, such as the basic invariance theorem, for each particular measure, it is possible to easily deduce all such results from one corresponding...
Complexity
0.796477
96,731
The McKinley Climatic Laboratory is both an active laboratory and a historic site located in Building 440 on Eglin Air Force Base, Florida. The laboratory is part of the 96th Test Wing. In addition to Air Force testing, it can be used by other US government agencies and private industry.On October 6, 1997, it was added...
McKinley Climatic Laboratory
0.796477
96,732
Okishio's theorem was therefore received in the West as establishing that Marx's proof of this fundamental result was inconsistent. More precisely, the theorem says that the general rate of profit in the economy as a whole will be higher if a new technique of production is introduced in which, at the prices prevailing ...
Okishio's theorem
0.796477
96,733
Chloromethane, also called methyl chloride, Refrigerant-40, R-40 or HCC 40, is an organic compound with the chemical formula CH3Cl. One of the haloalkanes, it is a colorless, sweet-smelling, flammable gas. Methyl chloride is a crucial reagent in industrial chemistry, although it is rarely present in consumer products, ...
Chloromethane
0.796476
96,734
Mutationism, along with other alternatives to Darwinism like Lamarckism and orthogenesis, was discarded by most biologists as they came to see that Mendelian genetics and natural selection could readily work together; mutation took its place as a source of the genetic variation essential for natural selection to work o...
Mutationism
0.796476
96,735
Concerns are frequently raised that the claimed benefits of nanotechnology will not be evenly distributed, and that any benefits (including technical and/or economic) associated with nanotechnology will only reach affluent nations. The majority of nanotechnology research and development - and patents for nanomaterials ...
Societal impact of nanotechnology
0.796476
96,736
The Astrophysical Journal (ApJ) is a peer-reviewed scientific journal of astrophysics and astronomy, established in 1895 by American astronomers George Ellery Hale and James Edward Keeler. The journal discontinued its print edition and became an electronic-only journal in 2015.Since 1953 The Astrophysical Journal Suppl...
The Astrophysical Journal
0.796476
96,737
The Xenotext is an ongoing work of BioArt by experimental Canadian poet Christian Bök. The primary goal of the project is twofold: first, a poem, encoded as a strand of DNA, is implanted into the bacterium Deinococcus radiodurans; second, the bacterium reads this strand of DNA and produces a protein which is also an in...
The Xenotext
0.796475
96,738
ARC's mission is to ensure that powerful machine learning systems of the future are designed and developed safely and for the benefit of humanity. It was founded in April 2021 by Paul Christiano and other researchers focused on the theoretical challenges of AI alignment. They attempt to develop scalable methods for tra...
Alignment Research Center
0.796475
96,739
The SystemC linear signal flow (LSF) library provides a set of primitive analogue operators, such as adders and differentiators that enable all basic structures found in differential equations to be constructed in a self-documenting and executable form. The advantage of constructing the system from a standard operator ...
SystemC AMS
0.796475
96,740
The ordinary sphere is a 2-sphere, because it is a 2-dimensional surface which is embedded in 3-dimensional space. In topology, the n-sphere is an example of a compact topological manifold without boundary. A topological sphere need not be smooth; if it is smooth, it need not be diffeomorphic to the Euclidean sphere (a...
Hemisphere (geometry)
0.796475
96,741
Using the FGMOS as a programmable charge element, it is commonly used for non-volatile storage such as flash, EPROM and EEPROM memory. In this context, floating-gate MOSFETs are useful because of their ability to store an electrical charge for extended periods of time without a connection to a power supply. Other appli...
Floating-gate transistors
0.796475
96,742
abstract nonsense A tongue-in-cheek reference to category theory, using which one can employ arguments that establish a (possibly concrete) result without reference to any specifics of the present problem. For that reason, it's also known as general abstract nonsense or generalized abstract nonsense. introduced the ver...
By inspection
0.796474
96,743
In general terms, in turbulent flow, unsteady vortices appear of many sizes which interact with each other, consequently drag due to friction effects increases. This increases the energy needed to pump fluid through a pipe. The onset of turbulence can be predicted by the dimensionless Reynolds number, the ratio of kine...
Turbulent fluid
0.796474
96,744
Therefore, each physical ER model must contain enough detail to produce a database and each physical ER model is technology dependent since each database management system is somewhat different. The physical model is normally instantiated in the structural metadata of a database management system as relational database...
Entity-relationship diagrams
0.796474
96,745
In practical applications it is necessary to identify the class of matrix transformations that must be preserved by a generalized inverse. For example, the Moore–Penrose inverse, A + , {\displaystyle A^{+},} satisfies the following definition of consistency with respect to transformations involving unitary matrices U a...
Generalized inverse
0.796474
96,746
An algorithm for what would have been the first piece of software was written by Ada Lovelace in the 19th century, for the planned Analytical Engine. She created proofs to show how the engine would calculate Bernoulli numbers. Because of the proofs and the algorithm, she is considered the first computer programmer.The ...
Computer Software
0.796474
96,747
Economists and policy makers are concerned about the effects of automation and artificial intelligence on employment including whether some kinds of jobs will cease to exist at all, and trucking is the most concerned job. However, Karen Levy is on the view that the path to fully autonomous trucking is likely to be a gr...
Autonomous trucks
0.796474
96,748
Various historical investigations, both in The Netherlands and in the US, have been carried out subsequent to the actions of the University of Maastricht. The earliest of these investigations, carried out by the Cornell University's department of Chemistry and Chemical Biology released a report on 31 May 2006, which st...
Peter Debye
0.796474
96,749
Separability {p} is dense and hence X is a separable space. However if X is uncountable then X \ {p} is not separable. This is an example of a subspace of a separable space not being separable.Countability (first but not second) If X is uncountable then X is first countable but not second countable.Alexandrov-discrete ...
Connected two-point set
0.796474
96,750
Advances in Difference Equations is a peer-reviewed mathematics journal covering research on difference equations, published by Springer Open. The journal was established in 2004 and publishes articles on theory, methodology, and application of difference and differential equations. Originally published by Hindawi Publ...
Advances in Difference Equations
0.796474
96,751
In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of phy...
Spherical contact distribution function
0.796473
96,752
To keep the descendant numbers manageable, the trees are pruned by eliminating vertices of depth bigger than one. Further, we omit trees where stabilization criteria enforce a common TKT of all vertices, since we do not consider such trees as structured any more. The invariants listed include pre-period and period leng...
Artin transfer (group theory)
0.796473
96,753
The algorithm assumes three things are conducive to low-"cost" (that is, minimal in distance travelled and time between destinations) topology: that paths will tend to be direct, not circuitous; that links will have a "high utilization"—that is, they will be used to nearly their maximum operating capacity; and that "lo...
MENTOR routing algorithm
0.796473
96,754
In his seminal study of the star height of regular languages, Eggan (1963) established a relation between the theories of regular expressions, finite automata, and of directed graphs. In subsequent years, this relation became known as Eggan's theorem, cf. Sakarovitch (2009). We recall a few concepts from graph theory a...
Star height
0.796472
96,755
In this case the size of the largest antichain and the minimum number of chains needed to cover the partial order may be very different from each other. In particular, for every infinite cardinal number κ there is an infinite partially ordered set of width ℵ0 whose partition into the fewest chains has κ chains (Harzhei...
Chain decomposition
0.796472
96,756
Riemannian geometry studies Riemannian manifolds, smooth manifolds with a Riemannian metric. This is a concept of distance expressed by means of a smooth positive definite symmetric bilinear form defined on the tangent space at each point. Riemannian geometry generalizes Euclidean geometry to spaces that are not necess...
Differential geometry and topology
0.796472
96,757
Kepler, frustrated with his teacher's refusal to continue their written communication, complained in a letter dated December 14, 1604, to respond about his thoughts on the nova recently discovered and highly discussed. To not write about this event would to Kepler make Maestlin guilty of "crime of deserting astronomy"....
Michael Maestlin
0.796471
96,758
This transition to BEC occurs below a critical temperature, which for a uniform three-dimensional gas consisting of non-interacting particles with no apparent internal degrees of freedom is given by: T c = ( n ζ ( 3 / 2 ) ) 2 / 3 2 π ℏ 2 m k B ≈ 3.3125 ℏ 2 n 2 / 3 m k B {\displaystyle T_{\rm {c}}=\left({\frac {n}{\zeta...
Bose–Einstein condensate
0.796471
96,759
Since they are very general, metric spaces are a tool used in many different branches of mathematics. Many types of mathematical objects have a natural notion of distance and therefore admit the structure of a metric space, including Riemannian manifolds, normed vector spaces, and graphs. In abstract algebra, the p-adi...
Homogeneous metric
0.796471
96,760
In the mathematical discipline of graph theory, Petersen's theorem, named after Julius Petersen, is one of the earliest results in graph theory and can be stated as follows: Petersen's Theorem. Every cubic, bridgeless graph contains a perfect matching. In other words, if a graph has exactly three edges at each vertex, ...
Petersen's theorem
0.79647
96,761
PNP Agar is an agar medium used in microbiology to identify Staphylococcus species that have phosphatase activity. The medium changes color when p-nitrophenylphosphate disodium (PNP) is dephosphorylated.PNP agar is composed of Mueller–Hinton agar buffered to pH 5.6 to 5.8, with the addition of 0.495 mg/mL PNP. == Refer...
PNP agar
0.79647
96,762
An ideal I of a Noetherian ring A is called unmixed in height if the height of I is equal to the height of every associated prime P of A/I. (This is stronger than saying that A/I is equidimensional; see below.) The unmixedness theorem is said to hold for the ring A if every ideal I generated by a number of elements equ...
Macaulay ring
0.79647
96,763
Brandom, Robert B. Artificial Intelligence and Analytical Pragmatism. Sophos No.15/2022. Davidson, Donald A Unified Theory of Thought, Meaning, and Action, Sophos No.15/2022. Davidson, Donald Rational Animals, Sophos No.15/2022.
Nijaz Ibrulj
0.79647
96,764
In geometry, the gyroelongated triangular cupola is one of the Johnson solids (J22). It can be constructed by attaching a hexagonal antiprism to the base of a triangular cupola (J3). This is called "gyroelongation", which means that an antiprism is joined to the base of a solid, or between the bases of more than one so...
Gyroelongated triangular cupola
0.79647
96,765
Hydrothermal liquefaction is a fast process, resulting in low residence times for depolymerization to occur. Typical residence times are measured in minutes (15 to 60 minutes); however, the residence time is highly dependent on the reaction conditions, including feedstock, solvent ratio and temperature. As such, optimi...
Hydrous pyrolysis
0.796469
96,766
In 1984, Dale Russell carried out an analysis to account for these biases, and found no evidence of a decline; another analysis by David Fastovsky and colleagues in 2004 even showed that dinosaur diversity continually increased until the extinction, but this analysis has been rebutted. Since then, different approaches ...
Dinosaur intelligence
0.796469
96,767
ACM is organized into over 246 local professional chapters and 38 Special Interest Groups (SIGs), through which it conducts most of its activities. Additionally, there are over 833 college and university chapters. The first student chapter was founded in 1961 at the University of Louisiana at LafayetteMany of the SIGs,...
ACM Portal
0.796468
96,768
LENS foundation was started by a group of researchers involved in atomic and molecular laser spectroscopy, but during three decades its research activity has grown and diversified to also cover cold atoms physics (Bose–Einstein condensate and Fermi gas), physics of complex and disordered systems, photochemistry, bioche...
European Laboratory for Non-Linear Spectroscopy
0.796468
96,769
In mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial P is given by an ex...
Elementary symmetric polynomial
0.796468
96,770
For the research, participants are organized into teams of three. The schedule includes classroom time, lab time, field trips (scientific and recreational) and guest lectures from working scientists and other professionals. Past guest speakers have included Maarten Schmidt, who has done pioneering work in quasars; Rich...
Summer Science Program
0.796468
96,771
M. Trömel: Die Frankfurter Gelehrtenrepublik. Neue Folge (Hrsg. G. Böhme), Schulz-Kirchner Verlag, Idstein S. 199–214 (2002) Hermann Hartmann and the Theoretical Chemistry in the 20th century (in German) Interview with Karl Jug (in German) The Development of Computational Chemistry in Germany by Sigrid D. Peyerimhoff B...
Hermann Hartmann
0.796468
96,772
Inorganic chemistry describes the reactions of elements and compounds that, in general, do not involve carbon. The changes typically take place in laboratories, or on a larger scale in heavy industries. Typical types of change include neutralization (mixing an acid with a base, resulting in water and salt), oxidization...
Chemical change
0.796468
96,773
In the geometry of hyperbolic 3-space, the order-6-3 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,5}. It has five triangular tiling, {3,6}, around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings...
Order-6-infinite triangular honeycomb
0.796467
96,774
On the history of the elementary proofs of the PNT, including the Erdős–Selberg priority dispute, see an article by Dorian Goldfeld.There is some debate about the significance of Erdős and Selberg's result. There is no rigorous and widely accepted definition of the notion of elementary proof in number theory, so it is ...
Distribution of primes
0.796467
96,775
Lahav studied Physics at Tel-Aviv University (BSc, 1980), Physics at Ben-Gurion University (MSc, 1985) and earned his Ph.D. (1988) in Astronomy from the University of Cambridge, where he was later a Member of Staff at the Institute of Astronomy (1990–2003) and a Fellow of St Catharine's College, Cambridge.
Ofer Lahav
0.796467
96,776
A study found that transition from fossil fuels to renewable energy systems reduces risks from mining, trade and political dependence because renewable energy systems don't need fuel – they depend on trade only for the acquisition of materials and components during construction. Renewable energy is found to be an effic...
Energy dependence
0.796467
96,777
The diagram depicted variation in sea level height at spatial scales from centimeters to that of the planet and at time scales from seconds to tens of millennia. The oceanographer John Steele (1978) adapted the Stommel diagram to depict the spatial and temporal scales of patchiness in phytoplankton, zooplankton and fis...
Seascape ecology
0.796467
96,778
The Gershgorin circle theorem applies the companion matrix of the polynomial on a basis related to Lagrange interpolation to define discs centered at the interpolation points, each containing a root of the polynomial; see Durand–Kerner method § Root inclusion via Gerschgorin's circles for details. If the interpolation ...
Properties of polynomial roots
0.796467
96,779
(Voznesenskij had been fully rehabilitate in May 1953. )The radiochemistry division had four sections and conducted research and development in the following areas: Development of methods of cleaning radioactive waste water. Development of the most appropriate structures for the storage of radioactive waste.
Laboratory B in Sungulʹ
0.796467
96,780
In population ecology and economics, maximum sustainable yield (MSY) is theoretically, the largest yield (or catch) that can be taken from a species' stock over an indefinite period. Fundamental to the notion of sustainable harvest, the concept of MSY aims to maintain the population size at the point of maximum growth ...
Maximum sustainable yield
0.796466
96,781
While in high school in 1966, Lagarias studied astronomy at the Summer Science Program. He completed an S.B. and S.M. in Mathematics at the Massachusetts Institute of Technology in 1972.
Jeffrey Lagarias
0.796466
96,782
The first large leap forward in the study of neurochemistry came from Johann Ludwig Wilhelm Thudichum, who is one of the pioneers in the field of "brain chemistry." He was one of the first to hypothesize that many neurological illnesses could be attributed to an imbalance of chemicals in the brain. He was also one of t...
Neurochemistry
0.796466
96,783
It has also been used to track the spread of vancomycin-resistant Enterococcus (VRE) and multidrug-resistant Acinetobacter baumanniiIn addition, PFGE has been used to monitor the emergence of antibiotic resistance among bacterial pathogens. For example, it has been used to track the spread of plasmid-mediated antibioti...
Pulsed-field gel electrophoresis
0.796466
96,784
(1955) The representation theorem for cylindrical algebras. En Skolem, Th., Hasenjaeger, G., Kreisel, G., Robinson, A. (Eds.)
Leon Henkin
0.796466
96,785
Bloch's definition of higher Chow groups (1986) was the first integral (as opposed to rational) definition of motivic homology for schemes over a field k (and hence motivic cohomology, in the case of smooth schemes). The definition of higher Chow groups of X is a natural generalization of the definition of Chow groups,...
Motivic cohomology
0.796465
96,786
The title of "the father of algebra" is frequently credited to the Persian mathematician Al-Khwarizmi, supported by historians of mathematics, such as Carl Benjamin Boyer, Solomon Gandz and Bartel Leendert van der Waerden. However, the point is debatable and the title is sometimes credited to the Hellenistic mathematic...
Syncopated algebra
0.796465
96,787
In the 19th century, developments of the geometry of three-dimensional space came with William Rowan Hamilton's development of the quaternions. In fact, it was Hamilton who coined the terms scalar and vector, and they were first defined within his geometric framework for quaternions. Three dimensional space could then ...
Three dimension
0.796465
96,788
As a famous physicist, Schwinger was often compared to another legendary physicist of his generation, Richard Feynman. Schwinger was more formally inclined and favored symbolic manipulations in quantum field theory. He worked with local field operators, and found relations between them, and he felt that physicists shou...
Julian Schwinger
0.796465
96,789
Now apply S to this expression. Taking S as follows S: (α → β → γ) → (α → β) → α → γ,put α = δ, β = α → β → γ, and γ = (α → β) → α → γ, yielding S: (δ → (α → β → γ) → (α → β) → α → γ) → (δ → (α → β → γ)) → δ → (α → β) → α → γand then detach the consequent: S (K S): (δ → α → β → γ) → δ → (α → β) → α → γThis is the formu...
Curry-Howard isomorphism
0.796465
96,790
The archetypical and first known (non-trivial) example is complex K-theory K. Complex K-theory is complex oriented and has as formal group law x + y + x y {\displaystyle x+y+xy} . The corresponding morphism M U ∗ → K ∗ {\displaystyle MU_{*}\to K_{*}} is also known as the Todd genus. We have then an isomorphism K ∗ ( X ...
Landweber exact functor theorem
0.796465
96,791
The 1940 collapse of the original Tacoma Narrows Bridge is sometimes characterized in physics textbooks as a classic example of resonance, although this description is misleading. The catastrophic vibrations that destroyed the bridge were not due to simple mechanical resonance, but to a more complicated oscillation bet...
Structural failures
0.796465
96,792
For passenger coaches, the buffer plate widths are between 600 and 720 mm, depending on the vehicle geometry. Buffers with non-circular buffer heads cannot be rotated in any case. The remaining free space between the vehicles is referred to as the Berne Space (Berner Raum) A British specialty are pull-out buffers on pa...
Buffer (rail transport)
0.796465
96,793
In computer science, protection mechanisms are built into a computer architecture to support the enforcement of security policies. A simple definition of a security policy is "to set who may use what information in a computer system".The access matrix model, first introduced in 1971, is a generalized description of ope...
Protection mechanism
0.796464
96,794
Then the assignment eμ → γμ extends uniquely to an algebra homomorphism Cℓ(V, g) → Mat(2k, C {\displaystyle \mathbb {C} } ) by sending the monomial eμ1 ⋅⋅⋅ eμk in the Clifford algebra to the product γμ1 ⋅⋅⋅ γμk of matrices and extending linearly. The space Δ = C 2 k {\displaystyle \Delta =\mathbb {C} ^{2^{k}}} on which...
Spinor
0.796464
96,795
thermal and visual comfort, indoor air quality and moisture phenomena), HVAC and renewable system performance, urban level modeling, building automation, and operational optimization are important aspects of BPS.Over the last six decades, numerous BPS computer programs have been developed. The most comprehensive listin...
Building performance simulation
0.796463
96,796
Deterministic system (mathematics) Linear system Partial differential equation Dynamical systems and chaos theory Chaos theory Chaos argument Butterfly effect 0-1 test for chaos Bifurcation diagram Feigenbaum constant Sharkovskii's theorem Attractor Strange nonchaotic attractor Stability theory Mechanical equilibrium A...
List of dynamical systems and differential equations topics
0.796463
96,797
Then the generate-detect cycle is repeated. For each iteration, the generator and the discriminator use the other's feedback to improve or detect the generated images, until the discriminator can no longer distinguish between the fakes generated by its opponent and the real thing. The ability to create high quality gen...
Ian Goodfellow
0.796463
96,798
Put this value into the equation one should be able to calculate the theoretical adsorption kinetic curve using the Langmuir adsorption model. In a more rigid picture, 1/6 can be replaced by the steric factor of the binding geometry. The bimolecular collision frequency related to many reactions including protein coagul...
Fick's laws of diffusion
0.796463
96,799
In mathematics, he concentrated on expanding the scope of algebra in the theory of equations, and on mathematical tables. As part of a joint lobbying effort with Hartlib to find himself support to continue as a researcher, he had his short Idea of Mathematics printed in October 1638. It brought interested responses fro...
John Pell (mathematician)
0.796462