id
int32
0
100k
text
stringlengths
20
3.54k
source
stringlengths
1
104
similarity
float32
0.8
0.91
89,000
The matrix A = ( 5 1 − 2 4 0 5 2 2 0 0 5 3 0 0 0 4 ) {\displaystyle A={\begin{pmatrix}5&1&-2&4\\0&5&2&2\\0&0&5&3\\0&0&0&4\end{pmatrix}}} has an eigenvalue λ 1 = 5 {\displaystyle \lambda _{1}=5} of algebraic multiplicity μ 1 = 3 {\displaystyle \mu _{1}=3} and an eigenvalue λ 2 = 4 {\displaystyle \lambda _{2}=4} of algeb...
Generalized eigenvector
0.798052
89,001
More precisely, let V be an algebraic variety over K (assumptions here are: V is an irreducible set, a quasi-projective variety, and K has characteristic zero). A type I thin set is a subset of V(K) that is not Zariski-dense. That means it lies in an algebraic set that is a finite union of algebraic varieties of dimens...
Thin set (Serre)
0.798052
89,002
Jonathan Alan Hodgkin (born 1949) is a British biochemist, Professor of Genetics at the University of Oxford, and an emeritus fellow of Keble College, Oxford. == References ==
Hodgkin family
0.798052
89,003
OTN operates a fleet of autonomous vehicles—Teledyne Webb Slocum gliders and Liquid Robotics Wave Gliders. The TWS gliders are electrically powered and collect physical, biological and chemical information. The LRW glides are solar and wave powered. They each gather data on weather and sea surface conditions. Additiona...
Ocean Tracking Network
0.798052
89,004
A linear taper potentiometer (linear describes the electrical characteristic of the device, not the geometry of the resistive element) has a resistive element of constant cross-section, resulting in a device where the resistance between the contact (wiper) and one end terminal is proportional to the distance between th...
Potentiometer
0.798051
89,005
In spatial statistics and stochastic geometry, to measure the statistical correlation relationship between points of a point process, the pair correlation function of a point process N {\displaystyle {N}} is defined as: ρ ( x 1 , x 2 ) = μ ( 2 ) ( x 1 , x 2 ) μ ( 1 ) ( x 1 ) μ ( 1 ) ( x 2 ) , {\displaystyle \rho (x_{1}...
Factorial moment measure
0.798051
89,006
OCLC 28065703. (hardcover) Sakurai, J. J.; Napolitano, Jim (2010). Modern quantum mechanics (2nd ed.).
Modern Quantum Mechanics
0.798051
89,007
Its ship then foundered on the North Foreland and it was purchased from the wreck for use locally. The versatility of this design meant that they could be used easily by a variety of industries. Six-column engines were not usually built outside the UK, although at least one was built by the US West Point Foundry in the...
Six-column beam engine
0.798051
89,008
In 2017, he became an IEEE Fellow Class of 2018 "for contributions to the development of technical-computing languages." In 2019, he was selected as the winner of Sidney Fernbach Award by IEEE Computer Society "for outstanding breakthroughs in high-performance computing, linear algebra and computational science, and fo...
Alan Edelman
0.798051
89,009
The criteria for the certification have been developed by the Swedish Institute for Agricultural and Environmental Engineering and may pave the way for farmers to use human waste for agricultural production. The Federation of Swedish Farmers have been active in this development. Furthermore, the Swedish EPA in their la...
Ecological sanitation
0.798051
89,010
Peter Teuben, University of Maryland, Chair Bruce Berriman, California Institute of TechnologyJessica Mink, Center for Astrophysics | Harvard & SmithsonianRobert J. Nemiroff, Michigan Technological University Rein Warmels, European Southern Observatory Lior Shamir, Lawrence Technological University Keith Shortridge, Au...
Astrophysics Source Code Library
0.798051
89,011
Prime numbers have been studied throughout recorded history. They are positive integers that are only divisible by 1 and themselves. Euclid devoted one book of the Elements to the theory of primes; in it he proved the infinitude of the primes and the fundamental theorem of arithmetic, and presented the Euclidean algori...
Number set
0.79805
89,012
Mass-analyzed ion kinetic-energy spectrometry (MIKES) is a mass spectrometry technique by which mass spectra are obtained from a sector instrument that incorporates at least one magnetic sector plus one electric sector in reverse geometry (the beam first enters the magnetic sector). The accelerating voltage V, and the ...
Mass-analyzed ion kinetic energy spectrometry
0.798049
89,013
Let F denote the subcategory of Mod-R consisting of all modules of finite length. Proj R is defined to be the quotient of the abelian category Mod-R by F. Equivalently, it is a localization of Mod-R in which two modules become isomorphic if, after taking their direct sums with appropriately chosen objects of F, they ar...
Noncommutative scheme
0.798048
89,014
By the 1990s particle physicists were starting to suspect that the solar neutrino problem and atmospheric neutrino deficit had something to do with neutrino oscillation. The Super Kamiokande detector was designed to test the oscillation hypothesis for both solar and atmospheric neutrinos. The Super-Kamiokande detector ...
Kamioka Observatory
0.798048
89,015
In galactic astronomy, peculiar motion refers to the motion of an object (usually a star) relative to a Galactic rest frame. Local objects are commonly examined as to their vectors of position angle and radial velocity. These can be combined through vector addition to state the object's motion relative to the Sun. Velo...
Peculiar velocities
0.798048
89,016
A (simply-laced) Dynkin diagram (finite or affine) that has a symmetry (satisfying one condition, below) can be quotiented by the symmetry, yielding a new, generally multiply laced diagram, with the process called folding (due to most symmetries being 2-fold). At the level of Lie algebras, this corresponds to taking th...
Affine Dynkin diagram
0.798047
89,017
R-Mod has injective hulls (as a consequence, R-Mod has enough injectives). In the category of metric spaces, Met, an injective object is an injective metric space, and the injective hull of a metric space is its tight span. In the category of T0 spaces and continuous mappings, an injective object is always a Scott topo...
Enough injectives
0.798047
89,018
{\displaystyle \int _{0}^{\pi }y(x)^{2}\,\mathrm {d} x+\int _{0}^{\pi }{\big (}y'(x)-y(x)\cot x{\big )}^{2}\,\mathrm {d} x=\int _{0}^{\pi }y'(x)^{2}\,\mathrm {d} x.} This proves the Wirtinger inequality, since the second integral is clearly nonnegative. Furthermore, equality in the Wirtinger inequality is seen to be eq...
Wirtinger's inequality for functions
0.798046
89,019
Oppenheimer later invited Pauling to be head of the Chemistry Division of the Manhattan Project, but Pauling refused, saying he was a pacifist.In the autumn of 1928, Oppenheimer visited Paul Ehrenfest's institute at the University of Leiden, the Netherlands, where he impressed by giving lectures in Dutch, despite havin...
J. Robert Oppenheimer
0.798046
89,020
Numbers of this magnitude—with 186 digits—would require on average only 6 primes for construction. It is very difficult if not impossible to discover the Erdös-Kac theorem empirically, as the Gaussian only shows up when n {\displaystyle n} starts getting to be around 10 100 {\displaystyle 10^{100}} . More precisely, Ré...
Erdős-Kac theorem
0.798046
89,021
Robert P. Geroch (Geroch group, singularity theorems, GHP formalism), Kurt Gödel (Gödel dust solution, closed timelike curves), Robert H. Gowdy (Gowdy solutions), Marcel Grossmann (taught Einstein the necessary mathematical tools for general relativity), Allvar Gullstrand (Gullstrand–Painlevé coordinates)
List of contributors to general relativity
0.798046
89,022
(1998). "Computational Thermochemistry". In Irikura, Karl K.; Frurip, David J.
Physical organic
0.798046
89,023
The ⊗ operation is a bilinear map; but no other conditions are applied to it.Pure tensor A pure tensor of V ⊗ W is one that is of the form v ⊗ w. It could be written dyadically aibj, or more accurately aibj ei ⊗ fj, where the ei are a basis for V and the fj a basis for W. Therefore, unless V and W have the same dimensi...
Pure tensor
0.798046
89,024
After spending a year at Christ Church, Oxford, where Michael Atiyah held the Savilian Chair of Geometry, he vowed never to return to Hungary due to his disillusion with the 1956 Soviet intervention. He then went to Trinity College, Cambridge, where in 1972 he received a second PhD in functional analysis, studying Bana...
Béla Bollobás
0.798046
89,025
Dan is one of three SwRI payload specialists who will fly on multiple suborbital spaceflights on Virgin Galactic's Enterprise and XCOR Aerospace's Lynx. "His education includes a B.Sc. in astronomy from The University of Michigan, plus an M.Sc. and a Ph.D., both in astronomy at the University of Florida, in 1987, 1989 ...
B612 Foundation
0.798046
89,026
A 2015 open letter by the Future of Life Institute calling for the prohibition of lethal autonomous weapons systems has been signed by over 26,000 citizens, including physicist Stephen Hawking, Tesla magnate Elon Musk, Apple's Steve Wozniak and Twitter co-founder Jack Dorsey, and over 4,600 artificial intelligence rese...
AI arms race
0.798045
89,027
However, a modification of the Hogeveen approach was reported in 2016, along with a high-quality crystal structure determination of 2•HSO3F. The pyramidal core is about 1.18 ångströms high, and each of the methyl groups on the ring is located slightly above that base plane to give a somewhat inverted tetrahedral geomet...
Hexamethylbenzene
0.798045
89,028
In 1969, Kunihiko Fukushima also introduced the ReLU (rectified linear unit) activation function. The rectifier has become the most popular activation function for CNNs and deep neural networks in general.The time delay neural network (TDNN) was introduced in 1987 by Alex Waibel and was one of the first CNNs, as it ach...
History of artificial neural networks
0.798044
89,029
The University of Central Florida College of Engineering and Computer Science is an academic college of the University of Central Florida located in Orlando, Florida, United States. The college offers degrees in engineering, computer science and management systems, and houses UCF's Department of Electrical Engineering ...
University of Central Florida College of Engineering and Computer Science
0.798044
89,030
Professor E. Sampathkumar is the first one in India to teach Graph Theory as a subject in any of the Indian universities. He introduced it as a special paper in 1970-71 for MSc Mathematics students at Karnatak University, Dharwad. Per Google Scholar, his H-index is 21 and he has over 1500 citations. Since 2005, his bir...
E. Sampathkumar
0.798044
89,031
It was decided for GTK to move to a Cascading Style Sheet (CSS)-based model for how graphical control elements (widgets) are styled (i.e. themed/skinned) and rendered. In CSS, shadows, borders, padding and style properties have well-defined semantics. Some of those semantics are difficult to implement with the old GTK ...
GTK Scene Graph Kit
0.798044
89,032
In statistics, multiple correspondence analysis (MCA) is a data analysis technique for nominal categorical data, used to detect and represent underlying structures in a data set. It does this by representing data as points in a low-dimensional Euclidean space. The procedure thus appears to be the counterpart of princip...
Multiple correspondence analysis
0.798044
89,033
RPMA was first introduced in 2001 in a paper by Lance Liotta and Emanuel Petricoin who invented the technology. The authors used the technique to successfully analyze the state of pro-survival checkpoint protein at the microscopic transition stage using laser capture microdissection of histologically normal prostate ep...
Reverse phase protein lysate microarray
0.798044
89,034
Pulse computation is a hybrid of digital & analog computation that uses aperiodic electrical spikes, as opposed to the periodic voltages in a digital computer or the continuously varying voltages in an analog computer. Pulse streams are unclocked, so they can arrive at arbitrary times and can be generated by analog pro...
Pulse computation
0.798043
89,035
Any of the following equivalent statements is referred to as the Bass conjecture. For any finitely generated Z-algebra A, the groups K'n(A) are finitely generated (K-theory of finitely generated A-modules, also known as G-theory of A) for all n ≥ 0. For any finitely generated Z-algebra A, that is a regular ring, the gr...
Bass conjecture
0.798043
89,036
From the perspective of representation theory, a prime ideal I corresponds to a module R/I, and the spectrum of a ring corresponds to irreducible cyclic representations of R, while more general subvarieties correspond to possibly reducible representations that need not be cyclic. Recall that abstractly, the representat...
Prime spectrum
0.798043
89,037
Many techniques of dimensional reduction make the assumption that data lies along a low-dimensional submanifold, such as manifold sculpting, manifold alignment, and manifold regularization. The major implications of this hypothesis is that Machine learning models only have to fit relatively simple, low-dimensional, hig...
Manifold hypothesis
0.798043
89,038
Mouse Embryonic Fibroblasts (MEFs) are a type of fibroblast prepared from mouse embryo. MEFs show a spindle shape when cultured in vitro, a typical feature of fibroblasts. The MEF is a limited cell line. After several transmission, MEFs will senesce and finally die off. Nevertheless, researchers can use several strateg...
Mouse embryonic fibroblast
0.798042
89,039
In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result in plane geometry which cannot be derived from Euclid's postulates.
Pasch's theorem
0.798042
89,040
For example, he argued that laboratory studies of children provided insight into their behavior in an unfamiliar ("strange") setting that had limited generalizability to their behavior in more familiar environments, such as home or school. The Ecology of Human Development articulated a series of definitions, propositio...
Ecological Systems Theory
0.798041
89,041
This increase is largely attributable to changes in diagnostic practices, referral patterns, availability of services, age at diagnosis, and public awareness (particularly among women), though unidentified environmental risk factors cannot be ruled out. The available evidence does not rule out the possibility that auti...
Autism Spectrum Disorder
0.798041
89,042
A well-structured system is a transition system ( S , → ) {\displaystyle (S,\to )} with state set S = Q × D {\displaystyle S=Q\times D} made up from a finite control state set Q {\displaystyle Q} , a data values set D {\displaystyle D} , furnished with a decidable pre-order ≤⊆ D × D {\displaystyle \leq \subseteq D\time...
Well-structured transition system
0.798041
89,043
A long-sought goal of theoretical physics is to find first principles (theory of everything) from which all of the fundamental dimensionless constants can be calculated and compared to the measured values. The large number of fundamental constants required in the Standard Model has been regarded as unsatisfactory since...
Fundamental constants
0.798041
89,044
In mathematics, specifically in differential geometry, isothermal coordinates on a Riemannian manifold are local coordinates where the metric is conformal to the Euclidean metric. This means that in isothermal coordinates, the Riemannian metric locally has the form g = φ ( d x 1 2 + ⋯ + d x n 2 ) , {\displaystyle g=\va...
Isothermal coordinates
0.798041
89,045
{ "type": "FeatureCollection", "features": , , , , , , , , , , , , , , , , , , , ] ] } }, { "type": "Feature", "properties": { "name": "Grand Central Terminal train shed", "fill": "#646464", "fill-opacity": 0.2, "stroke": "#646464", "stroke-width": 3, "@id": "relation/11171793", "building": "train_station", "layer": "...
Wikipedia:Map data/Wikipedia KML/Grand Central Terminal 01
0.798041
89,046
The Haag–Kastler axioms axiomatize QFT in terms of nets of algebras.
Axiomatic quantum field theory
0.79804
89,047
Software developers have also published libraries or modules in several languages (see list below). Many of these packages are free and open source, which means they can be expanded or adapted by those willing and able to write or modify code. Finally, there are web applications for delineating watersheds. Some of thes...
Watershed delineation
0.79804
89,048
Network for Astronomy School Education (NASE) is an International Astronomical Union (IAU) Working Group that works on Training Teachers for primary and secondary schools. In 2007, professor George K. Miley, IAU vice-president, invited Rosa M. Ros to begin exploring the idea of setting up an astronomy program to give p...
Network for Astronomy School Education
0.79804
89,049
The Course of Theoretical Physics is a ten-volume series of books covering theoretical physics that was initiated by Lev Landau and written in collaboration with his student Evgeny Lifshitz starting in the late 1930s. It is said that Landau composed much of the series in his head while in an NKVD prison in 1938–1939. H...
Course of Theoretical Physics
0.79804
89,050
In algebra, the first and second fundamental theorems of invariant theory concern the generators and the relations of the ring of invariants in the ring of polynomial functions for classical groups (roughly the first concerns the generators and the second the relations). The theorems are among the most important result...
First and second fundamental theorems of invariant theory
0.79804
89,051
Standard 4D physics seems to manifest this "cylinder condition" and, along with it, simpler mathematics. In 1926, Oskar Klein gave Kaluza's classical five-dimensional theory a quantum interpretation, to accord with the then-recent discoveries of Heisenberg and Schrödinger. Klein introduced the hypothesis that the fifth...
Kaluza-Klein Theory
0.79804
89,052
Metropolitan-Vickers, Metrovick, or Metrovicks, was a British heavy electrical engineering company of the early-to-mid 20th century formerly known as British Westinghouse. Highly diversified, it was particularly well known for its industrial electrical equipment such as generators, steam turbines, switchgear, transform...
Metropolitan-Vickers
0.79804
89,053
The abridged or simplified armilla was used to measure the angle of the sun, as well as the position of any celestial body. The Ling Long Yi is similar to an abridged armilla except larger, more complex, and more accurate. Kublai Khan, after observing Guo's mastery of astronomy, ordered that he, Zhang, and Wang Xun mak...
Guo Shoujing
0.79804
89,054
CloudBioLinux is an open-source project providing machine images for bioinformatics on cloud computing platforms. CloudBioLinux provides a build and deployment system which can deploy directly to desktop machines, to desktop Virtual Machines (VMs), or to cloud providers such as the Amazon Elastic Compute Cloud (EC2). T...
CloudBioLinux
0.79804
89,055
Hess's law of constant heat summation, also known simply as Hess' law, is a relationship in physical chemistry named after Germain Hess, a Swiss-born Russian chemist and physician who published it in 1840. The law states that the total enthalpy change during the complete course of a chemical reaction is independent of ...
Hess's Law
0.79804
89,056
The institute is located at 8 Śniadeckich Street in Warsaw. It was established on November 20, 1948 as the National Mathematical Institute and in the same year the Mathematical Devices Group (Pol: Grupę Aparatów Matematycznych) was established there, and this can be considered the beginning of computer science in Polan...
Institute of Mathematics of the Polish Academy of Sciences
0.79804
89,057
A collaboration between the University of Manchester and an industrial partner developed a new way to manufacture graphene antennas for radio-frequency identification. The antennas are paper-based, flexible and environmentally friendly. Their findings were published in Applied Physics Letters and are being commercialis...
Graphene antenna
0.798039
89,058
In chemistry, the Möbius–Hückel treatment is a methodology used to predict whether a reaction is allowed or forbidden. It is often used along with the Woodward–Hoffmann approach. The description in this article uses the plus-minus sign notation for parity as shorthand while proceeding around a cycle of orbitals in a mo...
Möbius–Hückel concept
0.798039
89,059
Some of the earlier studies in biophysics were conducted in the 1840s by a group known as the Berlin school of physiologists. Among its members were pioneers such as Hermann von Helmholtz, Ernst Heinrich Weber, Carl F. W. Ludwig, and Johannes Peter Müller. Biophysics might even be seen as dating back to the studies of ...
Biophysics
0.798039
89,060
Simulation packages for displaying each of the subassemblies allow the parts to be rotated, magnified, in realistic detail. Software packages for creating the bill of materials for construction allows subcontractors to specialize in assembly processes, which spreads the cost of manufacturing machinery among multiple cu...
Scientific theories
0.798039
89,061
Nuclear Institute for Food and Agriculture Nuclear Institute for Agriculture and Biology National Institute for Biotechnology and Genetic Engineering National Agricultural Research Centre Institute of Nuclear Medicine, Oncology and Radiotherapy National Centre for Physics National Institute of Lasers and Optronics (NIL...
Pakistan Atomic Energy Commission
0.798038
89,062
The consistency of this hypothesis can be verified through estimated time of origin of Oryza nivara and distribution modelling of species, suggesting that precipitation and temperature were the main climatic drivers of Oryza nivara distribution. Similarly, this hypothesis is supported by the fact that the annual grasse...
Parallel speciation
0.798038
89,063
Wassily Hoeffding, A non-parametric test of independence, Annals of Mathematical Statistics 19: 293–325, 1948. (JSTOR) Hollander and Wolfe, Non-parametric statistical methods (Section 8.7), 1999. Wiley.
Hoeffding's independence test
0.798038
89,064
By interpreting the problem as one of affine geometry, Calabi was able to apply his earlier work on the Laplacian comparison theorem to extend Jörgens' work to some higher dimensions. The problem was completely resolved later by Aleksei Pogorelov, and the result is commonly known as the Jörgens–Calabi–Pogorelov theorem...
Eugenio Calabi
0.798038
89,065
In organic chemistry, the acenes or polyacenes are a class of organic compounds and polycyclic aromatic hydrocarbons made up of benzene (C6H6) rings which have been linearly fused. They follow the general molecular formula C4n+2H2n+4. The larger representatives have potential interest in optoelectronic applications and...
Acene
0.798038
89,066
In molecular biology, Small nucleolar RNA Me18S-Um1356 is a non-coding RNA (ncRNA) molecule which functions in the modification of other small nuclear RNAs (snRNAs). This type of modifying RNA is usually located in the nucleolus of the eukaryotic cell which is a major site of snRNA biogenesis. It is known as a small nu...
Small nucleolar RNA Me18S-Um1356
0.798038
89,067
However the closest generalization to mass is sigma additivity, which gives rise to the Lebesgue measure. It assigns a measure of b − a to the interval , but will assign a measure of 0 to the set of rational numbers because it is countable. Any set which has a well-defined Lebesgue measure is said to be "measurable", b...
Vitali set
0.798038
89,068
Neuroscience could potentially solve some of these issues by directly examining the brain, given scientific confidence in the neuroimaging techniques. However, this raises questions concerning balancing legal usages of neuroscience with neuroprivacy protections.In the US, there are certain existing rights that could be...
Neuroprivacy
0.798037
89,069
In mathematics, a polynomial transformation consists of computing the polynomial whose roots are a given function of the roots of a polynomial. Polynomial transformations such as Tschirnhaus transformations are often used to simplify the solution of algebraic equations.
Polynomial transformation
0.798037
89,070
Professor Williams field of study is astrochemistry, involving the study of molecular line emissions in outer space to analyse and interpret the evolutionary process of the universe. He led research groups at both Manchester and London and produced more than 300 publications in journals and books. His particular intere...
David Williams (astrochemist)
0.798037
89,071
degree in 1985 at Rutgers University. In 1989 he received a PhD in applied physics from Stanford University. In 1991 he became assistant professor, in 1996 associate professor, and in 2000 full professor at Stanford University. Since 2010 he is chief scientist at SLAC (at the Stanford Synchrotron Radiation Lightsource,...
Zhi-Xun Shen
0.798036
89,072
In topology, a surface is generally defined as a manifold of dimension two. This means that a topological surface is a topological space such that every point has a neighborhood that is homeomorphic to an open subset of a Euclidean plane. Every topological surface is homeomorphic to a polyhedral surface such that all f...
Surface (geometry)
0.798036
89,073
This method also only measures one type of fat: subcutaneous adipose tissue (fat under the skin). Two individuals might have nearly identical measurements at all of the skin fold sites, yet differ greatly in their body fat levels due to differences in other body fat deposits such as visceral adipose tissue: fat in the ...
Body fat percentage
0.798036
89,074
The graph structure theorem provides such a "good reason" in the form of a rough description of the structure of G. In essence, every H-free graph G suffers from one of two structural deficiencies: either G is "too thin" to have H as a minor, or G can be (almost) topologically embedded on a surface that is too simple t...
Graph structure theorem
0.798035
89,075
Noetherian relation, a binary relation that satisfies the ascending chain condition on its elements. Noetherian topological space, a topological space that satisfies the descending chain condition on closed sets. Noetherian induction, also called well-founded induction, a proof method for binary relations that satisfy ...
Noetherian
0.798035
89,076
The presence of lead is used in glasses absorbing gamma radiation and X-rays, used in radiation shielding as a form of lead shielding (e.g. in cathode ray tubes, thus lowering the exposure of the viewer to soft X-rays). In particle physics, the combination of the low radiation length resulting from the high density and...
Lead Crystal
0.798035
89,077
Transmission using a single sub (Figure 1) involves one shift register in the main and one shift register in the sub, both of some given word size (e.g. 8 bits), connected in a virtual ring topology. Data is usually shifted out with the most-significant bit (MSB) first. On the clock edge, both main and sub shift out a ...
Serial Peripheral Interface
0.798035
89,078
Brown, T.M. (1965). "Resource letter EEC-1 on the evolution of energy concepts from Galileo to Helmholtz". American Journal of Physics.
Principle of conservation of energy
0.798035
89,079
An example of the use of this theorem in physics is the law of conservation of mass for fluids, which states that the mass of any fluid volume must not change: Applying the Reynolds transport theorem, one can change the reference to an arbitrary (non-fluid) control volume Vc. Further assuming that the density function ...
Localization theorem
0.798035
89,080
At the same time, she worked full-time during the day as an assistant in the Rheology Department of the Research Division of the International Printing Company (IPI). Going to university at night, she received her B.S. in physics in 1946.
Evelyn Berezin
0.798034
89,081
FlyBase is an online bioinformatics database and the primary repository of genetic and molecular data for the insect family Drosophilidae. For the most extensively studied species and model organism, Drosophila melanogaster, a wide range of data are presented in different formats. Information in FlyBase originates from...
FlyBase
0.798034
89,082
Lowering the cutoff to 400 km increases the certainty for Orcus, and adds Salacia and perhaps also (307261) 2002 MS4, though 2002 MS4's mass is unknown and Salacia's is just below the IAU Q&A's stated mass limit. Astronomers generally agree that the first four are dwarf planets, while disagreeing on smaller bodies. Gon...
Planets of the solar system
0.798034
89,083
However, Van Den Broeck concludes that the energy densities required are still unachievable, as are the small size (a few orders of magnitude above the Planck scale) of the spacetime structures needed.In 2012, physicist Harold White and collaborators announced that modifying the geometry of exotic matter could reduce t...
Alcubierre drive
0.798034
89,084
The physics and chemistry of mantle largely depend on pressure. As mantle minerals are compressed, they are transformed into other minerals at certain depths. Seismic observations of velocity discontinuities and experimental simulations on phase boundaries both verified the structure transformations within the mantle.
Mantle oxidation state
0.798034
89,085
An advantage of this method is that state vectors need not reflect actual atmospheric configurations, they need only take on a state that could reasonably occur in the real atmosphere. There are also none of the errors inherent in most collocation procedures, e.g. because of offset errors in the locations of the paired...
Isoline retrieval
0.798033
89,086
Newton had studied these books, or, in some cases, secondary sources based on them, and taken notes entitled Quaestiones quaedam philosophicae (Questions about philosophy) during his days as an undergraduate. During this period (1664–1666) he created the basis of calculus and performed the first experiments in the opti...
Philosophiæ Naturalis Principia Mathematica
0.798033
89,087
Following Elixir Studios, Hassabis returned to academia to obtain his PhD in cognitive neuroscience from University College London (UCL) in 2009 supervised by Eleanor Maguire. He sought to find inspiration in the human brain for new AI algorithms.He continued his neuroscience and artificial intelligence research as a v...
Demis Hassabis
0.798033
89,088
TET-mediated conversion of mC to hmC appears to disrupt the binding of 5mC-binding proteins including MECP2 and MBD (Methyl-CpG-binding domain) proteins, facilitating nucleosome remodeling and the binding of transcription factors, thereby activating transcription of those genes. EGR1 is an important transcription facto...
Transcription factor
0.798032
89,089
Synchrotron radiation is similar to bremsstrahlung radiation, which is emitted by a charged particle when the acceleration is parallel to the direction of motion. The general term for radiation emitted by particles in a magnetic field is gyromagnetic radiation, for which synchrotron radiation is the ultra-relativistic ...
Synchrotron emission
0.798032
89,090
LightWave provides dynamics physics systems supporting hard and soft body motion, deformation, constraint, motorization, environments, and particles. It interacts with 3D object models, bones, and hair (FiberFX). LightWave includes both Bullet and legacy proprietary (comprising ClothFX, SoftFX, HardFX, ParticleFX emitt...
LightWave 3D
0.798032
89,091
The following can be inferred from the theorem as explained above. (For more detailed reading, the reader is referred to the paper by Heng and Cooke.) Let N = p k − 1 {\displaystyle {\mathit {N}}={\mathit {p}}^{\mathit {k}}-1} for p {\displaystyle {p}} prime and k ∈ Z + {\displaystyle {k}\in \mathbb {Z} ^{+}} .
Coding theory approaches to nucleic acid design
0.798032
89,092
A Geiger counter (also known as a Geiger–Müller counter or G-M counter) is an electronic instrument used for detecting and measuring ionizing radiation. It is widely used in applications such as radiation dosimetry, radiological protection, experimental physics and the nuclear industry. It detects ionizing radiation su...
Geiger-Müller counter
0.798031
89,093
Fechner's sensation sensitivity experiments and a framework for the study of resemblance in representative spaces as models of what he termed physical continua. The elements of a physical continuum (pc) are sets of sensations. The notion of a pc and various representative spaces (tactile, visual, motor spaces) were int...
Near sets
0.798031
89,094
Matsumoto's theorem states that for a field k, the second K-group is given by K 2 ( k ) = k × ⊗ Z k × / ⟨ a ⊗ ( 1 − a ) ∣ a ≠ 0 , 1 ⟩ . {\displaystyle K_{2}(k)=k^{\times }\otimes _{\mathbf {Z} }k^{\times }/\langle a\otimes (1-a)\mid a\not =0,1\rangle .} Matsumoto's original theorem is even more general: For any root sy...
Algebraic K-theory
0.798031
89,095
Evolutionary Biology is a college-level evolutionary biology textbook written by Eli C. Minkoff that is 627 pages long. It was published in 1983 by Addison-Wesley. This is Minkoff's first foray into the world of college-level textbook authorship. The book contains an index and various biographical references.
Evolutionary Biology (book)
0.798031
89,096
Because of this property, MOFs are of interest for the storage of gases such as hydrogen and carbon dioxide. Other possible applications of MOFs are in gas purification, in gas separation, in water remediation, in catalysis, as conducting solids and as supercapacitors.The synthesis and properties of MOFs constitute the...
Metal–organic framework
0.798031
89,097
Today's modern advancements in biotechnology and nanotechnology are enabling digital scent technology to assist several industry sectors, including the medical technology, nanotechnology sectors, as well the entertainment and fashion industry sectors, as perfumers are utilizing this technology on neurological, emotiona...
Digital scent technology
0.798031
89,098
In nuclear physics, transient equilibrium is a situation in which equilibrium is reached by a parent-daughter radioactive isotope pair where the half-life of the daughter is shorter than the half-life of the parent. Contrary to secular equilibrium, the half-life of the daughter is not negligible compared to parent's ha...
Transient equilibrium
0.798031
89,099
Since the p1 and p2 components of the momentum are constant, only p3 changes from p3A to p3B. Figure "refraction" shows the geometry of this refraction from which d = ‖ p A ‖ sin ⁡ θ A = ‖ p B ‖ sin ⁡ θ B {\displaystyle d=\|\mathbf {p} _{A}\|\sin \theta _{A}=\|\mathbf {p} _{B}\|\sin \theta _{B}} . Since ‖ p A ‖ = n A {...
Hamiltonian optics
0.798031