id
int32
0
100k
text
stringlengths
20
3.54k
source
stringlengths
1
104
similarity
float32
0.8
0.91
80,800
While conventional chemicals are specified by their chemical composition, and concentration, nanoparticles have other physical properties that must be measured for a complete description, such as size, shape, surface properties, crystallinity, and dispersion state. In addition, preparations of nanoparticles are often n...
Nanoinformatics
0.79978
80,801
Baldick's research interests in electric power span across multiple areas, and he has contributed to over one hundred peer-reviewed journal articles.Baldick's research focuses on optimization and economic theory applied to electric power system operations and the public policy and technical issues associated with elect...
Ross Baldick
0.79978
80,802
1911: Higher Mathematics for Chemical Students 1913: A Text-book of Thermodynamics 1921: A Text-book of Inorganic Chemistry for University Students 1937: A Short History of Chemistry, London: Macmillan. Reissued by Dover Publications, New York ISBN 0-486-65977-1 1949: An Advanced Treatise on Physical Chemistry, London:...
J. R. Partington
0.799779
80,803
Thus, the architect of a CPPN-based genetic art system can bias the types of patterns it generates by deciding the set of canonical functions to include. Furthermore, unlike typical ANNs, CPPNs are applied across the entire space of possible inputs so that they can represent a complete image. Since they are composition...
Compositional pattern-producing network
0.799778
80,804
In algebra, the congruence ideal of a surjective ring homomorphism f: B → C of commutative rings is the image under f of the annihilator of the kernel of f. It is called a congruence ideal because when B is a Hecke algebra and f is a homomorphism corresponding to a modular form, the congruence ideal describes congruenc...
Congruence ideal
0.799777
80,805
The most basic example of a semisimple module is a module over a field, i.e., a vector space. On the other hand, the ring Z of integers is not a semisimple module over itself, since the submodule 2Z is not a direct summand. Semisimple is stronger than completely decomposable, which is a direct sum of indecomposable sub...
Semisimple ring
0.799777
80,806
In probability theory, Le Cam's theorem, named after Lucien Le Cam (1924 – 2000), states the following.Suppose: X 1 , X 2 , X 3 , … {\displaystyle X_{1},X_{2},X_{3},\ldots } are independent random variables, each with a Bernoulli distribution (i.e., equal to either 0 or 1), not necessarily identically distributed. Pr (...
Le Cam's theorem
0.799777
80,807
If all mirrors of a given color are unringed (inactive) in a given uniform polytope, it will have a lower symmetry construction by removing all of the inactive mirrors. If all the nodes of a given color are ringed (active), an alternation operation can generate a new 5-polytope with chiral symmetry, shown as "empty" ci...
Uniform 5-polytope
0.799777
80,808
Physically based animation is common in games and simulations where users have the expectation of interaction with the environment. Physics engines such as Havok, PhysX, and Bullet exist as separately developed products to be licensed and included in games. In games such as Angry Birds or World of Goo, physically based...
Physically based animation
0.799777
80,809
Penrose also claims that the technical difficulty of modern physics forces young scientists to rely on the preferences of established researchers, rather than forging new paths of their own. Lee Smolin expresses a slightly different position in his critique, claiming that string theory grew out of a tradition of partic...
Ten-dimensional space
0.799777
80,810
Given two sets X and Y, let F be a multivalued map from X to Y (equivalently, F: X → P ( Y ) {\displaystyle F:X\rightarrow {\mathcal {P}}(Y)} is a function from X to the power set of Y). A function f: X → Y {\displaystyle f:X\rightarrow Y} is said to be a selection of F, if: The existence of more regular choice functio...
Choice function
0.799777
80,811
On the basis of Gödel's incompleteness theorems, he argued that the brain could perform functions that no computer or system of algorithms could. From this it could follow that consciousness itself might be fundamentally non-algorithmic, and incapable of being modeled as a classical Turing machine type of computer. Thi...
Stuart Hameroff
0.799777
80,812
L-Malic acid is the naturally occurring form, whereas a mixture of L- and D-malic acid is produced synthetically. Malate plays an important role in biochemistry. In the C4 carbon fixation process, malate is a source of CO2 in the Calvin cycle. In the citric acid cycle, (S)-malate is an intermediate, formed by the addit...
Malic Acid
0.799776
80,813
Freeman John Dyson (15 December 1923 – 28 February 2020) was a British-American theoretical physicist and mathematician known for his works in quantum field theory, astrophysics, random matrices, mathematical formulation of quantum mechanics, condensed matter physics, nuclear physics, and engineering. He was professor ...
Freeman Dyson
0.799776
80,814
Thurston, William (1997). Three-Dimensional Geometry and Topology. Princeton University Press. ISBN 0-691-08304-5.
Contact topology
0.799776
80,815
The combination of Na with carboxylic acids results in the formation of acyloxyborohydride species other than sodium triacetoxyborohydride. These modified species can perform a variety of reductions not normally associated with borohydride chemistry, such as alcohols to hydrocarbons and nitriles to primary amines.
Sodium triacetoxyborohydride
0.799775
80,816
The figure illustrates where each of these services areas relates to the OSE/RM. Assume that software engineering services are applicable in all areas. Each of the APP service areas addresses specific components around which interface, data format, or protocol specifications have been or will be defined. Security and m...
ISO/IEC TR 14252
0.799775
80,817
", and "!!". The chosen symbol is appended to the text describing the move (e.g. Re7? or Kh1!? ); see Algebraic chess notation. Use of these annotation symbols is subjective, as different annotators use the same symbols differently.
Chess annotation symbols
0.799774
80,818
A roadway travelled by motor vehicles can be idealized by a line source emitting air pollutants. This mathematical problem was first solved in 1970 by a collaboration of physics, mathematics and computer science. The original theory assumed steady-state traffic conditions and meteorology on a perfectly straight roadway...
Line source
0.799774
80,819
In one-dimensional field theory or quantum mechanics one defines as "instanton" a field configuration which is a solution of the classical (Newton-like) equation of motion with Euclidean time and finite Euclidean action. In the context of soliton theory the corresponding solution is known as a kink. In view of their an...
Instanton
0.799774
80,820
Proofs for the properties below can be found at b:Topics in Abstract Algebra/Linear algebra. If A {\displaystyle A} has real entries, then so does A + {\displaystyle A^{+}} . If A {\displaystyle A} is invertible, its pseudoinverse is its inverse. That is, A + = A − 1 {\displaystyle A^{+}=A^{-1}} .
Moore–Penrose pseudoinverse
0.799774
80,821
Dror Bar-Natan gave a statement concerning Lie algebras and Vassiliev invariants which is equivalent to the four color theorem.
Four-color problem
0.799774
80,822
In software engineering environments, the term is used to describe professionals with expertise in the field of application. The term "SME" also has a broader definition in engineering and high tech as one who has the greatest expertise in a technical topic. SMEs are often asked to review, improve, and approve technica...
Subject-matter expert
0.799773
80,823
These seemingly distinct physical phenomena can be formalized similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. Stochastic partial differential equations generalize partial differential ...
Second order equation
0.799773
80,824
The multiple integral expands the concept of the integral to functions of any number of variables. Double and triple integrals may be used to calculate areas and volumes of regions in the plane and in space. Fubini's theorem guarantees that a multiple integral may be evaluated as a repeated integral or iterated integra...
Multivariable Calculus
0.799773
80,825
Noncommutative algebraic geometry is a branch of mathematics, and more specifically a direction in noncommutative geometry, that studies the geometric properties of formal duals of non-commutative algebraic objects such as rings as well as geometric objects derived from them (e.g. by gluing along localizations or takin...
Noncommutative algebraic geometry
0.799773
80,826
bluebird bio, Inc., based in Somerville, Massachusetts, is a biotechnology company that develops gene therapies for severe genetic disorders.The company's only - in the European Union (EU) - approved drug is betibeglogene autotemcel (Zynteglo), which treats transfusion-dependent beta thalassemia (TDT), a rare genetic b...
Bluebird bio
0.799772
80,827
Algebra - Representation Theory. Springer. ISBN 9780792371137. == References ==
Klaus Wilhelm Roggenkamp
0.799772
80,828
This was soon followed up by more precise homological results about face rings due to Melvin Hochster. Then Richard Stanley found a way to prove the Upper Bound Conjecture for simplicial spheres, which was open at the time, using the face ring construction and Reisner's criterion of Cohen–Macaulayness. Stanley's idea o...
Stanley–Reisner ring
0.799772
80,829
The RMIT (Royal Melbourne Institute of Technology) School of Science is an Australian tertiary education school within the College of Science Engineering and Health of RMIT University. It was created in 2016 from the former schools of Applied Sciences, Computer Science and Information Technology, and Mathematical and G...
RMIT School of Science
0.799771
80,830
A Euclidean plane with a straight line removed is not connected since it consists of two half-planes. R {\displaystyle \mathbb {R} } , the space of real numbers with the usual topology, is connected. The Sorgenfrey line is disconnected.
Main theorem of connectedness
0.799771
80,831
If those edges are displaced, shear is created. A similar definition is found in geology, where shear refers to a displacement within rock perpendicular to the rock surface. In physics, the amount of displacement is referred to as shear strain, which has units of length.
Beta barrel
0.799771
80,832
In his second year, Bolton decided to focus on physics rather than mathematics. He completed his degree in May 1942 with second-class honours. While an average result for a student that had previously finished in top third of his cohort, his mother had deteriorated and died during Bolton's examination period.
John Gatenby Bolton
0.799771
80,833
Aerobiology (from Greek ἀήρ, aēr, "air"; βίος, bios, "life"; and -λογία, -logia) is a branch of biology that studies the passive transport of organic particles, such as bacteria, fungal spores, very small insects, pollen grains and viruses. Aerobiologists have traditionally been involved in the measurement and reportin...
Aerobiology
0.79977
80,834
A special case of this theorem arises when X is an algebraic variety, in which case the conditions of the theorem imply that X is an affine variety. A similar result has stricter conditions on X but looser conditions on the cohomology: if X is a quasi-separated, quasi-compact scheme, and if H1(X, I) = 0 for any quasi-c...
Serre's theorem on affineness
0.79977
80,835
The Lambek–Moser theorem is a mathematical description of partitions of the natural numbers into two complementary sets. For instance, it applies to the partition of numbers into even and odd, or into prime and non-prime (one and the composite numbers). There are two parts to the Lambek–Moser theorem. One part states t...
Lambek–Moser theorem
0.79977
80,836
Semi-empirical models reduce computational costs primarily by simplifying the chemistry in soot formation and oxidation. Semi-empirical models reduce the size of chemical mechanisms and use simpler molecules, such as acetylene as precursors. Detailed theoretical models use extensive chemical mechanisms containing hundr...
Soot
0.79977
80,837
These operators are denoted as keywords and by symbolic notation. Some of the introduced mathematical logic notation during this time included the set of symbols used in Boolean algebra. This was created by George Boole in 1854.
History of mathematical notation
0.799769
80,838
In particle physics and quantum mechanics, mixing angles are the angles between two sets of (complex-valued) orthogonal basis vectors, or states, usually the eigenbases of two quantum mechanical operators. The choice of angles (parameterization) is not unique but based on convention.
Mixing angle
0.799769
80,839
In 1954, he won the scholarship under the Colombo Plan fellowship program and went to Quebec, Canada for his doctorate studies.Ahmad attended the doctorate school at the Université de Montréal and did a two-year-long course in Particle physics and engaged his research on theoretical physics. In 1959, Ahmad obtained D.S...
Ishfaq Ahmad Khan
0.799769
80,840
The energy value of coal, or fuel content, is the amount of potential energy coal contains that can be converted into heat. This value can be calculated and compared with different grades of coal and other combustible materials, which produce different amounts of heat according to their grade. While chemistry provides ...
Energy value of coal
0.799768
80,841
A short proof of the Nielsen–Schreier theorem uses the algebraic topology of fundamental groups and covering spaces. A free group G on a set of generators is the fundamental group of a bouquet of circles, a topological graph X with a single vertex and with a loop-edge for each generator. Any subgroup H of the fundament...
Nielsen–Schreier theorem
0.799768
80,842
As he later recalled, his Ph.D. advisor Karplus connected him with Bill Eaton at the National Institute of Diabetes and Digestive and Kidney Diseases, who recruited Szabo to NIDDK. Szabo has remained at NIDDK since and is currently Section Chief of the Theoretical Biophysical Chemistry Section in the Laboratory of Chem...
Attila Szabo (scientist)
0.799767
80,843
The hypothesis combines approaches from molecular biology, neuroscience, pharmacology, philosophy, quantum information theory, and quantum gravity.While mainstream theories assert that consciousness emerges as the complexity of the computations performed by cerebral neurons increases, Orch OR posits that consciousness ...
Orchestrated objective reduction
0.799767
80,844
Possible uses include security monitoring, alerting, statistics gathering and authorization. Many databases provide active database features in the form of database triggers.
Distributed database management system
0.799767
80,845
They are the object of study in trace theory. The utility of trace monoids comes from the fact that they are isomorphic to the monoid of dependency graphs; thus allowing algebraic techniques to be applied to graphs, and vice versa. They are also isomorphic to history monoids, which model the history of computation of i...
Free partially commutative monoid
0.799766
80,846
By Descartes' theorem, the inner Soddy circle's curvature is ( 4 R + r + 2 s ) / Δ {\textstyle (4R+r+2s)/\Delta } , where Δ {\displaystyle \Delta } is the triangle's area, R {\displaystyle R} is its circumradius, and r {\displaystyle r} is its inradius. The outer Soddy circle has curvature ( 4 R + r − 2 s ) / Δ {\texts...
Soddy circles of a triangle
0.799766
80,847
A group from the University of Oxford led by Prof. Matthew Wood claims that exosomes can cross the blood–brain barrier and deliver siRNAs, antisense oligonucleotides, chemotherapeutic agents and proteins specifically to neurons after inject them systemically (in blood). Because these exosomes are able to cross the bloo...
Drug delivery to the brain
0.799766
80,848
Four bases giving rise to a base quartet is now well documented in the structure of the G-quadruplex characteristically found in the telomere. Here four Guanine residues pair up within themselves in a cyclic form involving Watson-Crick/Hoogsteen cis (cWH) base pairing scheme and each of the Guanine bases are found to b...
Non-canonical base pairing
0.799766
80,849
(Wald 1984, pg 158, problem 4) a b = ∇ b Z 1 Z 1 = ln ⁡ g t t {\displaystyle a_{b}=\nabla _{b}Z_{1}\qquad Z_{1}=\ln {g_{tt}}} a inf b = ∇ b Z 2 Z 2 = g t t {\displaystyle a\inf _{b}=\nabla _{b}Z_{2}\qquad Z_{2}={\sqrt {g_{tt}}}} We will demonstrate that integrating the normal component of the "acceleration at infinity"...
Komar mass
0.799765
80,850
They correspond to Dynkin diagrams and affine Dynkin diagrams. Little is known about the Kac–Moody algebras of indefinite type, although the groups corresponding to these Kac–Moody algebras were constructed over arbitrary fields by Jacques Tits.Among the Kac–Moody algebras of indefinite type, most work has focused on t...
Kac algebra
0.799765
80,851
The TomSym MATLAB symbolic modeling engine is a platform for modeling applied optimization and optimal control problems.
TomSym
0.799765
80,852
His work during that project on the production and detection of radio frequency power and on the absorption of such RF power by matter laid the foundation for his discovery of NMR in bulk matter.Rabi, Bloch, and Purcell observed that magnetic nuclei, like 1H and 31P, could absorb RF energy when placed in a magnetic fie...
Nuclear Magnetic Resonance
0.799765
80,853
Koecher's arguments apply for finite-dimensional Jordan algebras over the real or complex numbers.
Quadratic Jordan algebra
0.799764
80,854
Vorsetuzumab mafodotin (SGN-75) is an antibody-drug conjugate (ADC) directed to the protein CD70 designed for the treatment of cancer. It is a humanized monoclonal antibody, vorsetuzumab, conjugated with noncleavable monomethyl auristatin F (MMAF), a cytotoxic agent.This drug was developed by Seattle Genetics, Inc. The...
Vorsetuzumab mafodotin
0.799764
80,855
A sympagic environment is one where water exists mostly as a solid, ice, such as a polar ice cap or glacier. Solid sea ice is permeated with channels filled with salty brine. These briny channels and the sea ice itself have its ecology, referred to as "sympagic ecology".
Sympagic ecology
0.799764
80,856
The Copeland–Erdős constant is the concatenation of "0." with the base 10 representations of the prime numbers in order. Its value, using the modern definition of prime, is approximately 0.235711131719232931374143… (sequence A033308 in the OEIS).The constant is irrational; this can be proven with Dirichlet's theorem on...
Copeland–Erdős constant
0.799764
80,857
In linear algebra, the n × n {\displaystyle n\times n} identity matrix I {\displaystyle \mathbf {I} } has entries equal to the Kronecker delta: where i {\displaystyle i} and j {\displaystyle j} take the values 1 , 2 , ⋯ , n {\displaystyle 1,2,\cdots ,n} , and the inner product of vectors can be written as Here the Eucl...
Kronecker delta function
0.799764
80,858
While these languages are mainly of interest in academic research (including in formalized mathematics), they have begun to be used in engineering as well. Compcert is a compiler for a subset of the C programming language that is written in Coq and formally verified.A limited form of dependent types called generalized ...
Functional language
0.799764
80,859
The sets 0 ( 1 ) {\displaystyle 0^{(1)}} and 0 ( 2 ) {\displaystyle 0^{(2)}} are 0 ′ {\displaystyle 0'} and 0 ″ {\displaystyle 0''} , respectively. If δ is a limit ordinal, let ⟨ λ n ∣ n ∈ N ⟩ {\displaystyle \langle \lambda _{n}\mid n\in \mathbb {N} \rangle } be the sequence of ordinals less than δ given by the notatio...
Hyperarithmetical theory
0.799763
80,860
ICRANet main goals are training, education and research in the field of relativistic astrophysics, cosmology, theoretical physics and mathematical physics. Its main activities are devoted to promote the international scientific co-operation and to carry on scientific research. According to the 2018 ICRANet Scientific R...
ICRANet
0.799763
80,861
A physical model (most commonly referred to simply as a model but in this context distinguished from a conceptual model) is a smaller or larger physical representation of an object, person or system. The object being modelled may be small (e.g., an atom) or large (e.g., the Solar System) or life-size (e.g., a fashion m...
Physical models
0.799763
80,862
However, a small fraction is scattered inelastically, being the energy of the laser photons shifted up or down. When the scattering is elastic, the phenomenon is denoted as Rayleigh scattering, while when it is inelastic it is called Raman scattering. Raman spectroscopy combined with electrochemical techniques, makes R...
Raman spectroelectrochemistry
0.799763
80,863
History of Flavor chemistry – history of someone who uses chemistry to engineer artificial and natural flavors. History of Flow chemistry – history of the chemical reaction is run in a continuously flowing stream rather than in batch production. History of geochemistry – history of the study of the mechanisms behind ma...
Physical Sciences
0.799763
80,864
A fluid flow can be considered as a dynamical system, that is a set of ordinary differential equations that determines the evolution of a Lagrangian trajectory. These equations are called advection equations: d x → d t = v → ( x → , t ) {\displaystyle {\frac {d{\vec {x}}}{dt}}={\vec {v}}({\vec {x}},t)} where v → = ( u ...
Chaotic mixing
0.799763
80,865
Surprisingly, in either case the vast majority of the laws of physics are not broken by these processes, a notable exception being the second law of thermodynamics. When a law of physics applies equally when time is reversed, it is said to show T-symmetry; in this case, entropy is what allows one to decide if the video...
Entropy as an arrow of time
0.799762
80,866
From the definition it is straightforward to show that: A ≤ PTAS B {\displaystyle {\text{A}}\leq _{\text{PTAS}}{\text{B}}} and B ∈ PTAS ⟹ A ∈ PTAS {\displaystyle {\text{B}}\in {\text{PTAS}}\implies {\text{A}}\in {\text{PTAS}}} A ≤ PTAS B {\displaystyle {\text{A}}\leq _{\text{PTAS}}{\text{B}}} and A ∉ PTAS ⟹ B ∉ PTAS {\...
PTAS reduction
0.799762
80,867
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of module generalizes also the notion of abelian group, since the abelian groups are exactly the modules over the ring of integers. Like a vector space, a module is an additive abe...
Right module
0.799762
80,868
QSARs represent predictive models derived from application of statistical tools correlating biological activity (including desirable therapeutic effect and undesirable side effects) of chemicals (drugs/toxicants/environmental pollutants) with descriptors representative of molecular structure and/or properties. QSARs ar...
Topological index
0.799762
80,869
Conducts an integrated program of field and laboratory research in human factors aspects of aviation work environments. Research includes assessments of human performance under various conditions of impairment, human error analysis and remediation, agency work force optimization, assessing the impact of advanced automa...
Civil Aerospace Medical Institute
0.799762
80,870
Gallstone risk increases for females (especially before menopause) and for people near or above 40 years; the condition is more prevalent among people of European or American Indigenous descent than among other ethnicities. A lack of melatonin could significantly contribute to gallbladder stones, as melatonin inhibits ...
Gall stones
0.799762
80,871
Not all MUDs are games; some are designed for educational purposes, while others are purely chat environments, and the flexible nature of many MUD servers leads to their occasional use in areas ranging from computer science research to geoinformatics to medical informatics to analytical chemistry. MUDs have attracted t...
Graphical MUD
0.799762
80,872
Infinite Energy is a bi-monthly magazine published in New Hampshire that details theories and experiments concerning alternative energy, new science and new physics. The magazine was founded by the late Eugene Mallove, and is owned by the non-profit New Energy Foundation. It was established in 1994 as Cold Fusion magaz...
Infinite Energy (magazine)
0.799761
80,873
Development and technologies' implicationsSome technologies are designed specifically with the environment in mind, but most are designed first for financial or economic effects such as the free market's profit motive. The effects of a specific technology is often not only dependent on how it is used – e.g. its usage c...
Technology and society
0.79976
80,874
The latter statement (expressed in terms of divisors) is in fact the original version of the theorem from the 19th century. This is the main tool used to analyze how a given curve can be embedded into projective space and hence to classify algebraic curves. Example: Every global section of a line bundle of negative deg...
Serre's duality theorem
0.79976
80,875
In geometry, the elongated pentagonal gyrocupolarotunda is one of the Johnson solids (J41). As the name suggests, it can be constructed by elongating a pentagonal gyrocupolarotunda (J33) by inserting a decagonal prism between its halves. Rotating either the pentagonal cupola (J5) or the pentagonal rotunda (J6) through ...
Elongated pentagonal gyrocupolarotunda
0.79976
80,876
Kiaran B. Dave; Philip W. Phillips; Charles L. Kane (2013). "Absence of Luttinger's theorem". Physical Review Letters.
Luttinger's theorem
0.79976
80,877
Transcriptome-wide association study (TWAS) is a genetic methodology that can be used to compare the genetic components of gene expression and the genetic components of a trait to determine if an association is present between the two components. TWAS are useful for the identification and prioritization of candidate ca...
Transcriptome-wide association study
0.79976
80,878
It only should resolve the geometry. Fine structural details can be resolved, in contrast to SEA which gives only one number per subsystem. Greater flexibility for the models usable by DEA. No implicit assumptions (equilibrium in weakly coupled subsystems) as in SEA.
Dynamical energy analysis
0.79976
80,879
The Baire category theorem about complete metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem. On every infinite-dimensional topological vector space there is a discontinuous linear map.
Axiom of Choice
0.79976
80,880
Sharon Hammes-Schiffer (born May 27, 1966) is a physical chemist who has contributed to theoretical and computational chemistry. She is currently a Sterling Professor of Chemistry at Yale University. She has served as senior editor and deputy editor of the Journal of Physical Chemistry and advisory editor for Theoretic...
Sharon Hammes-Schiffer
0.799759
80,881
In five-dimensional Euclidean geometry, the omnitruncated 5-simplex honeycomb or omnitruncated hexateric honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 5-simplex facets. The facets of all omnitruncated simplectic honeycombs are called permutahedra and can be positione...
Omnitruncated 5-simplex honeycomb
0.799759
80,882
A test of seven vehicle inlets and eleven connectors was held at the US National Renewable Energy Laboratory (NREL) in September 2020. The prototype hardware represented designs from seven different manufacturers, and six additional manufacturers participated virtually.
Megawatt Charging System
0.799759
80,883
Ph.D. in physics, Arizona State University, 1987. B.S. in Applied Physics, Xidian University, Xi'an, China, 1982.He came to the US for graduate school through CUSPEA program organized by Tsung-Dao Lee.
Zhong Lin Wang
0.799758
80,884
The prefix thio-, when applied to a chemical, such as an ion, means that an oxygen atom in the compound has been replaced by a sulfur atom. This term is often used in organic chemistry. For example, from the word ether, referring to an oxygen-containing compound having the general chemical structure R−O−R′, where R and...
Thio-
0.799758
80,885
One of the first mentions of nanoinformatics was in the context of handling information about nanotechnology.An early international workshop with substantial discussion of the need for sharing all types of information on nanotechnology and nanomaterials was the First International Symposium on Occupational Health Impli...
Nanoinformatics
0.799758
80,886
Concurrent tandem catalysis (CTC) is a technique in chemistry where multiple catalysts (usually two) produce a product otherwise not accessible by a single catalyst. It is usually practiced as homogeneous catalysis. Scheme 1 illustrates this process. Molecule A enters this catalytic system to produce the comonomer, B, ...
Concurrent tandem catalysis
0.799758
80,887
For other than approved Public Events, the Laboratory is closed to the general public. The lab is open to the public on several Sundays during the summer for tours and special programs. The public access program is referred to as 'Summer Sundays' and takes place in July, and features a science show and a tour of the la...
Brookhaven National Laboratory
0.799758
80,888
This poses the question of when exactly quantum superposition ends and reality resolves into one possibility or the other. Though originally a critique on the Copenhagen interpretation, Schrödinger's seemingly paradoxical thought experiment became part of the foundation of quantum mechanics. The scenario is often featu...
Schrödinger’s cat
0.799757
80,889
The substitution of xi = 1 for all i into the multinomial theorem ∑ k 1 + k 2 + ⋯ + k m = n ( n k 1 , k 2 , … , k m ) x 1 k 1 x 2 k 2 ⋯ x m k m = ( x 1 + x 2 + ⋯ + x m ) n {\displaystyle \sum _{k_{1}+k_{2}+\cdots +k_{m}=n}{n \choose k_{1},k_{2},\ldots ,k_{m}}x_{1}^{k_{1}}x_{2}^{k_{2}}\cdots x_{m}^{k_{m}}=(x_{1}+x_{2}+\...
Multinomial theorem
0.799757
80,890
There are many conventions used in the robotics research field. This article summarises these conventions.
Robotics conventions
0.799757
80,891
Orbital Marine Power is a Scottish renewable energy company focused on the development and global deployment of its pioneering floating turbine technology. The O2 is Orbital's first commercial turbine and represents the culmination of more than 15 years of world leading product development in the UK. The 74m long turbi...
Orbital O2
0.799757
80,892
Aside from algebraic spaces, no straightforward generalization is possible for stacks. The complication already appears in the orbifold case (Kawasaki's Riemann–Roch). The equivariant Riemann–Roch theorem for finite groups is equivalent in many situations to the Riemann–Roch theorem for quotient stacks by finite groups...
Riemann–Roch-type theorem
0.799756
80,893
Triphenylphosphine dichloride, (C6H5)3PCl2, is a chlorinating agent widely used in organic chemistry. Applications include the conversion of alcohols and ethers to alkyl chlorides, the cleavage of epoxides to vicinal dichlorides and the chlorination of carboxylic acids to acyl chlorides.
Triphenylphosphine dichloride
0.799756
80,894
A snark is a special case of a bridgeless graph, having the additional properties that every vertex has exactly three incident edges (that is, the graph is cubic) and that it is not possible to partition the edges of the graph into three perfect matchings (that is, the graph has no 3-edge coloring, and by Vizing's theo...
Cycle double cover conjecture
0.799756
80,895
The problem of universals is an ancient problem in metaphysics about whether universals exist. The problem arises from attempts to account for the phenomenon of similarity or attribute agreement among things. For example, grass and Granny Smith apples are similar or agree in attribute, namely in having the attribute of...
Universal (metaphysics)
0.799756
80,896
, d n ) ) {\displaystyle s(d_{1})\odot ...\odot s(d_{n})\leq s(\mathbf {h} (d_{1},...,d_{n}))} Moreover, if c is the interpretation of a constant c such that s(c) = 1. A largely studied class of fuzzy subalgebras is the one in which the operation ⊙ {\displaystyle \odot } coincides with the minimum. In such a case it is...
Fuzzy subalgebra
0.799756
80,897
The Australia Bioinformatics Resource (EMBL-ABR) (formerly the Bioinformatics Resource Australia - EMBL (BRAEMBL)) was a significant initiative under the associate membership to EMBL. Since 2019, all activities carried out under EMBL-ABR have rolled over into the Bioplatforms Australia (NCRIS-funded) Australian BioComm...
Australia Bioinformatics Resource
0.799755
80,898
The Kruskal count (also known as Kruskal's principle, Dynkin–Kruskal count, Dynkin's counting trick, Dynkin's card trick, coupling card trick or shift coupling) is a probabilistic concept originally demonstrated by the Russian mathematician Evgenii Borisovich Dynkin in the 1950s or 1960s discussing coupling effects and...
Kruskal count
0.799755
80,899
In geometry, the density of a star polyhedron is a generalization of the concept of winding number from two dimensions to higher dimensions, representing the number of windings of the polyhedron around the center of symmetry of the polyhedron. It can be determined by passing a ray from the center to infinity, passing o...
Polygon density
0.799755