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83,600 | The cost for setting up this campus was ₹8.61 billion (US$110 million). From 2020 onwards, The Institute began offering BTech Courses in Computer Science Engineering and Electronics Engineering. In the year 2021, a new four year B.Tech. programme in Mathematics & Computing has been started at RGIPT with the goal of set... | Rajiv Gandhi Institute of Petroleum Technology | 0.799182 |
83,601 | Consider a function G(τ) defined on the imaginary time interval (0,β). It can be given in terms of Fourier series, G ( τ ) = 1 β ∑ i ω G ( i ω ) e − i ω τ , {\displaystyle G(\tau )={\frac {1}{\beta }}\sum _{i\omega }G(i\omega )e^{-i\omega \tau },} where the frequency only takes discrete values spaced by 2π/β. The parti... | Matsubara formalism | 0.799182 |
83,602 | The frequency domain decomposition (FDD) is an output-only system identification technique popular in civil engineering, in particular in structural health monitoring. As an output-only algorithm, it is useful when the input data is unknown. FDD is a modal analysis technique which generates a system realization using t... | Frequency domain decomposition | 0.799182 |
83,603 | He also successfully entered Yale University's doctoral program.Tomabechi was a Fulbright Research Scientist at Yale University and became member of Yale University Artificial Intelligence Research Center and Yale Cognitive Science Program as a research scientist. He took part in research by cognitive psychologist Roge... | Hideto Tomabechi | 0.799182 |
83,604 | The 2014 Starmus featured a small astrophotography school for enthusiasts who wanted to learn about imaging the sky and also have access to one of the darkest skies on Earth with their own equipment. For three days following the main Festival, on 28–30 September 2014, participants stayed at the observatories on Mt. Tei... | Starmus Festival | 0.799182 |
83,605 | The second cohomology group H 2 ( g ; M ) {\displaystyle H^{2}({\mathfrak {g}};M)} is the space of equivalence classes of Lie algebra extensions 0 → M → h → g → 0 {\displaystyle 0\rightarrow M\rightarrow {\mathfrak {h}}\rightarrow {\mathfrak {g}}\rightarrow 0} of the Lie algebra by the module M {\displaystyle M} . Simi... | Lie algebra homology | 0.799181 |
83,606 | For example, if X {\displaystyle X} is the set of rational numbers, with the usual relative topology induced by the Euclidean space R , {\displaystyle \mathbb {R} ,} and if S = { q ∈ Q: q 2 > 2 , q > 0 } , {\displaystyle S=\{q\in \mathbb {Q} :q^{2}>2,q>0\},} then S {\displaystyle S} is both closed and open in Q {\displ... | Topologically closed | 0.799181 |
83,607 | The numerical methods of solution of the system of partial differential equations then give rise to a discrete map, which can be interpreted as the propagation and collision of fictitious particles. In an algorithm, there are collision and streaming steps. These evolve the density of the fluid ρ ( x → , t ) {\displayst... | Lattice Boltzmann Method | 0.799181 |
83,608 | In molecular biology, the BPS domain (Between PH and SH2) domain is a protein domain of approximately 45 amino acids found in the adaptor proteins Grb7/|Grb10/Grb14. It mediates inhibition of the tyrosine kinase domain of the insulin receptor by binding of the N-terminal portion of the BPS domain to the substrate pepti... | BPS domain | 0.79918 |
83,609 | Bosch received a BA in mathematics at Oberlin College in 1985, an MS in operations research and statistics at Rensselaer Polytechnic Institute in 1987 and a PhD in operations research with the thesis Partial Updating in Interior-Point Methods for Linear Programming under Kurt Martin Anstreicher at Yale University in 19... | Robert A. Bosch | 0.79918 |
83,610 | The Astrophysics Research Institute (ARI) is an astronomy and astrophysics research institute in Merseyside, UK. Formed in 1992, it stood on the Twelve Quays site in Birkenhead from 1998 until June 2013 when it relocated to the Liverpool Science Park in Liverpool. It is in the top 1% of institutions in the field of spa... | Astrophysics Research Institute | 0.79918 |
83,611 | Jesse W. Jones was the first chemistry PhD and earned one of the first four doctorate degrees awarded by Arizona State University in 1963. He is a tenured Professor of Chemistry at Baylor University since 1988 and served seven two-year terms as a State Representative of Texas. In 2012 he was inducted into the African A... | School of Molecular Sciences (Arizona State University) | 0.79918 |
83,612 | In the mid 1980s, other investigators joined the field of calixarene chemistry. It has become an important aspect of supramolecular chemistry and attracts the attention of hundreds of scientists around the world. The Niederl cyclic tetramers from resorcinol and aldehydes were studied in detail by Donald J. Cram, who ca... | Calixarene | 0.79918 |
83,613 | Because electron donating groups are both ortho and para directors, separation of these isomers is a common problem in synthetic chemistry. Several methods exist in order to separate these isomers: Column chromatography will often separate these isomers, as the ortho is more polar than the para in general. Fractional c... | Arene substitution patterns | 0.799179 |
83,614 | This simplifies the control problem to a series of direct matrix algebra calculations that are fast and robust. When linear models are not sufficiently accurate to represent the real process nonlinearities, several approaches can be used. | Model Predictive Control | 0.799179 |
83,615 | The history of thermodynamics is a fundamental strand in the history of physics, the history of chemistry, and the history of science in general. Owing to the relevance of thermodynamics in much of science and technology, its history is finely woven with the developments of classical mechanics, quantum mechanics, magne... | Mechanical theory of heat | 0.799179 |
83,616 | The stereoisomers β-D-glucopyranose and β-D-mannopyranose are epimers because they differ only in the stereochemistry at the C-2 position. The hydroxy group in β-D-glucopyranose is equatorial (in the "plane" of the ring), while in β-D-mannopyranose the C-2 hydroxy group is axial (up from the "plane" of the ring). These... | Epi isomer | 0.799179 |
83,617 | In higher dimensions, moduli of algebraic varieties are more difficult to construct and study. For instance, the higher-dimensional analogue of the moduli space of elliptic curves discussed above is the moduli space of abelian varieties, such as the Siegel modular variety. This is the problem underlying Siegel modular ... | Moduli space | 0.799179 |
83,618 | In Bahrain, large-scale 3D printing using a sandstone-like material has been used to create unique coral-shaped structures, which encourage coral polyps to colonize and regenerate damaged reefs. These structures have a much more natural shape than other structures used to create artificial reefs, and, unlike concrete, ... | Applications of 3D printing | 0.799178 |
83,619 | Work in computer science has made use of Helmholtz's ideas of unconscious inference by suggesting the cortex contains a generative model of the world. They develop a statistical method for discovering the structure inherent in a set of patterns: Following Helmholtz, we view the human perceptual system as a statistical ... | Unconscious inference | 0.799178 |
83,620 | In terms of a syntactical constraint for a propositional calculus, it is necessary, but not sufficient, that premises and conclusion share atomic formulae (formulae that do not contain any logical connectives). In a predicate calculus, relevance requires sharing of variables and constants between premises and conclusio... | Relevant logic | 0.799178 |
83,621 | WolframMathWorld has a page titled "Triangle conics" which gives a list of 42 items (not all of them are conics) without giving a definition of triangle conic. However, Paris Pamfilos in his extensive collection of topics in geometry and topics in other fields related to geometry defines a triangle conic as a "conic ci... | Triangle conic | 0.799178 |
83,622 | When a vector field represents force, the line integral of a vector field represents the work done by a force moving along a path, and under this interpretation conservation of energy is exhibited as a special case of the fundamental theorem of calculus. Vector fields can usefully be thought of as representing the velo... | Gradient vector field | 0.799178 |
83,623 | VME was originally written almost entirely in S3, a specially-designed system programming language based on Algol 68R (however, VME/K was written primarily in the SFL assembly language). Although a high-level language is used, the operating system is not designed to be independent of the underlying hardware architectur... | Open VME | 0.799178 |
83,624 | Similar examples can be formed from any other topological field, such as the field of complex numbers or the field of p-adic numbers. These examples are locally compact, so they have Haar measures and can be studied via harmonic analysis. Other locally compact topological groups include the group of points of an algebr... | Elementary group theory | 0.799178 |
83,625 | Mesrop Mashtots (2008). He was the youngest Doctor of Sciences in the history of the USSR (at the age of 20), and the youngest corresponding member of the Academy of Sciences of the Soviet Union (the title was conferred at the age of 24). During his postgraduate studies, the 20-year-old Mergelyan solved one of the fund... | Sergey Mergelyan | 0.799177 |
83,626 | All application orientated basic research of Biomin is conducted by its in-house R&D team at the Biomin Research Center (BRC) at Campus Tulln, Austria. 80 researchers engage in microbiology, molecular biology, cell biology, analytics, fermentation, bioactive ingredient formulation and quality control.Collaborations wit... | Biomin | 0.799177 |
83,627 | Virtual mirrors usually utilize computer vision, face detection and face tracking technologies to analyze visual patterns and represent digital information. The technology uses algorithms to collect, analyze and make meaningful inferences from data from one or multiple images. == References == | Virtual mirror | 0.799177 |
83,628 | (1891) Marie Georges Humbert (1892) Benjamin Baker and John Fowler (1893) Gabriel Koenigs (1894) Hermann Laurent, "for the whole of his mathematical works." (1895) Gustave Robin (1896) Paul Painlevé, "for all of his mathematical work." (1897) Roger Liouville (1898) Jacques Hadamard (1899) Eugène Cosserat, "for the whol... | Poncelet Prize | 0.799177 |
83,629 | Proof techniques involving only the Szemerédi–Trotter theorem extend automatically to the complex numbers, since the Szemerédi-Trotter theorem holds over C 2 {\displaystyle \mathbb {C} ^{2}} by a theorem of Tóth. Konyagin and Rudnev matched the exponent of 4/3 over the complex numbers. The results with exponents of the... | Erdős–Szemerédi theorem | 0.799177 |
83,630 | Nanotechnology provides methods to organizing materials such as molecules, polymers, building blocks, etc. to form precise nanostructures which have many applications. In the process and application of peptide self-assembly into nano tubes, the single-wall carbon nano tubes is an example which consists of a graphene sh... | Directed assembly of micro- and nano-structures | 0.799176 |
83,631 | describes the elementary moves generating the equivalence relation on braids given by the equivalence of their closures. More precisely Markov's theorem can be stated as follows: given two braids represented by elements β n , β m ′ {\displaystyle \beta _{n},\beta _{m}'} in the braid groups B n , B m {\displaystyle B_{n... | Markov theorem | 0.799176 |
83,632 | PDBWiki was developed as part of the BioWiki initiative, and was entered into the third International Openfree Bioinformation Contents Competition organised by BiO.CC, a biological information website operated by KOBIC. The Website went offline in January 2014, replaced with a notice redirecting to Proteopedia, a simil... | PDBWiki | 0.799176 |
83,633 | Pico is a programming language developed at the Software Languages Lab at Vrije Universiteit Brussel. The language was created to introduce the essentials of programming to non-computer science students. Pico can be seen as an effort to generate a palatable and enjoyable language for people who do not want to study har... | Pico (programming language) | 0.799176 |
83,634 | Ecophagy Consuming the biological environment. Ecosystem protector A nanomachine for mechanically removing selected imported species from an ecosystem to protect native species. Enabling science and technologies Areas of research relevant to a particular goal, such as nanotechnology. Entanglement From quantum mechanics... | Glossary of nanotechnology | 0.799176 |
83,635 | A true quantum-mechanical wave would diffract from the inner hemisphere, leaving a diffraction pattern to be observed on the outer hemisphere. This is not really an objection, but rather an affirmation that a partial collapse of the wave function has occurred. If a diffraction pattern were not observed, one would be fo... | Renninger negative-result experiment | 0.799176 |
83,636 | MnCO3 adopts a structure like calcite, consisting of manganese(II) ions in an octahedral coordination geometry.Treatment of aqueous solutions of manganese(II) nitrate with ammonia and carbon dioxide leads to precipitation of this faintly pink solid. The side product, ammonium nitrate is used as fertilizer. | CMnO3 | 0.799175 |
83,637 | In molecular biology, complementarity describes a relationship between two structures each following the lock-and-key principle. In nature complementarity is the base principle of DNA replication and transcription as it is a property shared between two DNA or RNA sequences, such that when they are aligned antiparallel ... | Complementary base sequence | 0.799175 |
83,638 | He was born in the rural area of the Gifu Prefecture, Japan. He began learning mathematics in middle school, reading texts in English since none were available in Japanese. After attending a high school for gifted students, he went on to the Imperial University (later Tokyo Imperial University), at that time the only u... | Teiji Takagi | 0.799175 |
83,639 | The AeSI conducts Associate Membership Examination twice a year. In which applicant has to clear a minimum 10 level of Section-A and 10 level of Section- B with training, Internship & projects of this examination which is recognized by the Ministry of Education, at par with a bachelor's degree (BS) in Aerospace Enginee... | Aeronautical Society of India | 0.799175 |
83,640 | When considering representations of an associative algebra, one can forget the underlying field, and simply regard the associative algebra as a ring, and its representations as modules. This approach is surprisingly fruitful: many results in representation theory can be interpreted as special cases of results about mod... | Representation space | 0.799175 |
83,641 | This refuted the popular genetic theory of the time that genes were fixed in their position on a chromosome. McClintock found that genes could not only move but they could also be turned on or off due to certain environmental conditions or during different stages of cell development.McClintock also showed that gene mut... | Controlling element | 0.799175 |
83,642 | In physics, the stretched exponential function is often used as a phenomenological description of relaxation in disordered systems. It was first introduced by Rudolf Kohlrausch in 1854 to describe the discharge of a capacitor; thus it is also known as the Kohlrausch function. In 1970, G. Williams and D.C. | Stretched exponential function | 0.799175 |
83,643 | The Computing for All plan (Plan Informatique pour Tous - IPT) was a French government plan to introduce computers to the country's 11 million pupils. A second goal was to support national industry. It followed several introductory computer science programs in schools since 1971. | Computing for All | 0.799175 |
83,644 | In electrical engineering, an Active Circulator is an active non-reciprocal three-port device that couples a microwave or radio-frequency signal only to an adjacent port in the direction of circulation. Other (external) circuitry connects to the circulator ports via transmission lines. An ideal three-port active circul... | Active Circulator | 0.799175 |
83,645 | However, from a more comprehensive and chemistry point of view, they should be described as inert metals. Inert metals are very stable. They are difficult to participate directly in ordinary acid-base reactions and turn into metal compounds. | Chelated platinum | 0.799174 |
83,646 | The neurotoxin regulation model of drug use is a response to proponents of the hijack hypothesis. Largely this is because the neurobiological reward model of drug use sees interactions between plant neurotoxins and human reward systems as novel and rewarding.The neurotoxin regulation hypothesis emphasizes the evolution... | Evolutionary models of human drug use | 0.799174 |
83,647 | Examples are ring expansion and ring contraction, homologation reactions, polymerization reactions, insertion reactions, ring-opening reactions and ring-closing reactions. Organic reactions can also be classified by the type of bond to carbon with respect to the element involved. More reactions are found in organosilic... | Organic chemical reaction | 0.799174 |
83,648 | The planar Hall sensor is a type of magnetic sensor based on the planar Hall effect of ferromagnetic materials. It measures the change in anisotropic magnetoresistance caused by an external magnetic field in the Hall geometry. As opposed to an ordinary Hall sensor, which measures field components perpendicular to the s... | Planar Hall sensor | 0.799174 |
83,649 | Monotone likelihood functions are used to construct uniformly most powerful tests, according to the Karlin–Rubin theorem. Consider a scalar measurement having a probability density function parameterized by a scalar parameter θ, and define the likelihood ratio ℓ ( x ) = f θ 1 ( x ) / f θ 0 ( x ) {\displaystyle \ell (x)... | Monotone likelihood ratio | 0.799173 |
83,650 | Algebraic variety Hypersurface Quadric (algebraic geometry) Dimension of an algebraic variety Hilbert's Nullstellensatz Complete variety Elimination theory Gröbner basis Projective variety Quasiprojective variety Canonical bundle Complete intersection Serre duality Spaltenstein variety Arithmetic genus, geometric genus... | List of algebraic geometry topics | 0.799173 |
83,651 | The GAN game is a general framework and can be run with any reasonable parametrization of the generator G {\displaystyle G} and discriminator D {\displaystyle D} . In the original paper, the authors demonstrated it using multilayer perceptron networks and convolutional neural networks. Many alternative architectures ha... | Generative adversarial networks | 0.799173 |
83,652 | In 2012, Qaisar Shafi was appointed the Inaugural Bartol Research Institute Professor of Physics.Space physics, including plasma and solar physics, is another major research area of the Bartol Research Institute. Among its members is William H. Matthaeus, the current director of the NASA Delaware Space Grant Consortium... | Bartol Research Institute | 0.799173 |
83,653 | In NBO version 7.0, the $NRTSTR function does not need to be called to generate a list of representative resonance structures, and the $CHOOSE algorithm has been adapted to be "essentially identical to the NLS algorithm", increasing the overall optimization of each resonance structure by reducing the amount to which t... | Natural resonance theory | 0.799173 |
83,654 | Due to the aforementioned colloquial nature of the term "average", the term can be used to obfuscate the true meaning of data and suggest varying answers to questions based on the averaging method (most frequently arithmetic mean, median, or mode) used. In his article "Framed for Lying: Statistics as In/Artistic Proof"... | Average value | 0.799173 |
83,655 | Trigrams are a special case of the n-gram, where n is 3. They are often used in natural language processing for performing statistical analysis of texts and in cryptography for control and use of ciphers and codes. | Trigram | 0.799173 |
83,656 | Fraser and his colleagues are known for their development of light and magnetic resonance imaging (MRI) microscopy techniques for imaging the dynamics of embryonic development. More recently his research team has taken these imaging techniques into disease models and clinical medicine, in areas ranging from eye disease... | Scott E. Fraser | 0.799172 |
83,657 | Let A be a quadratic Jordan algebra over R or C. Following Jacobson (1969), a linear Jordan algebra structure can be associated with A such that, if L(a) is Jordan multiplication, then the quadratic structure is given by Q(a) = 2L(a)2 − L(a2). Firstly the axiom Q(a)R(b,a) = R (a,b)Q(a) can be strengthened to Q ( a ) R ... | Quadratic Jordan algebra | 0.799172 |
83,658 | In the Jacobson density theorem, the right R-module U is simultaneously viewed as a left D-module where D = End(UR), in the natural way: g • u = g(u). It can be verified that this is indeed a left module structure on U. As noted before, Schur's lemma proves D is a division ring if U is simple, and so U is a vector spac... | Jacobson density theorem | 0.799172 |
83,659 | In addition to optical and near-infrared cyclotron radiation, the accretion region also produces X-rays due to the high temperature of gas within the shock, so polars are frequently brighter in X-rays than non-magnetic CVs.Whereas accretion in a non-magnetic system is governed by viscosity within the accretion disk, ac... | Polar (cataclysmic variable) | 0.799172 |
83,660 | If the universe is described by an effective local quantum field theory down to the Planck scale, then we would expect a cosmological constant of the order of M p l 2 {\displaystyle M_{\rm {pl}}^{2}} ( 1 {\displaystyle 1} in reduced Planck units). As noted above, the measured cosmological constant is smaller than this ... | Cosmological Constant | 0.799172 |
83,661 | In mathematics, the term undefined is often used to refer to an expression which is not assigned an interpretation or a value (such as an indeterminate form, which has the possibility of assuming different values). The term can take on several different meanings depending on the context. For example: In various branche... | Undefined (mathematics) | 0.799172 |
83,662 | Do not confuse these patterns with regular expression patterns used in string pattern matching. The purpose is similar: to check whether a piece of data matches certain constraints, and if so, extract relevant parts of it for processing. However, the mechanism is very different. This kind of pattern matching on algebra... | Algebraic data types | 0.799171 |
83,663 | All possible polar topologies on a dual pair are finer than the weak topology and coarser than the strong topology. The complex vector space Cn may be equipped with either its usual (Euclidean) topology, or its Zariski topology. In the latter, a subset V of Cn is closed if and only if it consists of all solutions to so... | Coarser topology | 0.79917 |
83,664 | Dimension theory is a branch of general topology dealing with dimensional invariants of topological spaces. | Point set topology | 0.79917 |
83,665 | Church's paper An Unsolvable Problem of Elementary Number Theory (1936) proved that the Entscheidungsproblem was undecidable within the λ-calculus and Gödel-Herbrand's general recursion; moreover Church cites two theorems of Kleene's that proved that the functions defined in the λ-calculus are identical to the function... | History of the Church–Turing thesis | 0.79917 |
83,666 | These structures consist of a long, natural virus strand as a "scaffold", which is made to fold into the desired shape by computationally designed short "staple" strands. This method has the advantages of being easy to design, as the base sequence is predetermined by the scaffold strand sequence, and not requiring high... | DNA nanotube | 0.79917 |
83,667 | Early models, such as the HP-35, used RPN entirely without any alternative methods. Later models can switch between RPN and another notation, such as the HP-12C Platinum which includes both RPN and immediate execution (with operations performed strictly in the order in which inputs are entered), the HP 33s with both RP... | Natural textbook display | 0.79917 |
83,668 | In recent years, the biological plausibility of the weathering hypothesis has been investigated in studies evaluating the physiological effects of social, environmental and political stressors among marginalized communities. This has led to more widespread use of the weathering hypothesis as a framework for explaining ... | Weathering hypothesis | 0.799169 |
83,669 | Inspired by single-molecule analysis of biopolymers, Mashaghi and his team developed a topology framework, termed as circuit topology, which enabled studying folded molecular chains, beyond what knot theory can offer. The approach allows for topological barcoding of proteins and cellular genomes for medical application... | Alireza Mashaghi | 0.799169 |
83,670 | This process in nanotechnology led to the discovery of gas bubbles inside yeasts. This is considered a paradigm shift, since naked gas bubbles are not expected inside any type of cell due to structured water in the cytoplasm. This was exposed in a fluconazole-treated bubble-like sensor of the yeast Nadsonia. This is th... | Auger architectomics | 0.799169 |
83,671 | Courses and textbooks in the field of data transmission typically deal with the following OSI model protocol layers and topics: Layer 1, the physical layer: Channel coding including Digital modulation schemes Line coding schemes Forward error correction (FEC) codes Bit synchronization Multiplexing Equalization Channel ... | Data transmission | 0.799168 |
83,672 | In geometric group theory, Gromov's theorem on groups of polynomial growth, first proved by Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotent subgroups of finite index. | Bass's theorem | 0.799168 |
83,673 | from the University of Michigan in 2003. Her dissertation, Bayesian Methods for Statistical Disclosure Control in Microdata, involved both data privacy and Bayesian statistics, and was supervised by Roderick J. A. Little.After completing her doctorate, she became a researcher at the Merck Research Laboratories. She ret... | Fang Liu (statistician) | 0.799168 |
83,674 | Meanwhile, gatekeeper genes directly regulate cell growth by either inhibiting cell cycle progression or inducing apoptosis. Lastly landscaper genes regulate growth by contributing to the surrounding environment, when mutated can cause an environment that promotes unregulated proliferation. The classification schemes a... | Tumour suppressor genes | 0.799168 |
83,675 | Van Fraassen argued that laws of nature are of no philosophical significance, and may be eliminated in favor of models in a satisfactory analysis of science. Maudlin counters that this deprives one of the resources to say how cutting down its class of models can enhance a theory's explanatory power, a phenomenon readil... | Tim Maudlin | 0.799168 |
83,676 | Planetary science or planetology, is the scientific study of planets, which include terrestrial planets like the Earth, and other types of planets, such as gas giants other celestial bodies, such as moons, asteroids, and comets. This largely includes the Solar System, but recently has started to expand to exoplanets, p... | Natural science | 0.799167 |
83,677 | The discrepancy between the observed pairwise distances D i j {\displaystyle D_{ij}} and the distances T i j {\displaystyle T_{ij}} over a phylogenetic tree (i.e. the sum of the branch lengths in the path from leaf i {\displaystyle i} to leaf j {\displaystyle j} ) is measured by S = ∑ i j w i j ( D i j − T i j ) 2 {\di... | Least squares inference in phylogeny | 0.799167 |
83,678 | Sports Administration K-12 Education Administration Youth Development Administration National Academy for Educational Research National Central Library National Museum of Marine Biology and Aquarium National Museum of Natural Science National Science and Technology Museum National Taiwan Science Education Center Nation... | Ministry of Education (Taiwan) | 0.799167 |
83,679 | In 1999, Wu completed a dual B.S. in materials science and engineering and environmental science and engineering at Tsinghua University (THU). In 2001, she earned a M.S. in materials science and engineering at THU. | Hui Wu | 0.799167 |
83,680 | An r-cycle is a formal sum of closed integral subschemes of X whose relative dimension is r; here the relative dimension of Y ⊆ X {\displaystyle Y\subseteq X} is the transcendence degree of k ( Y ) {\displaystyle k(Y)} over k ( ϕ ( Y ) ¯ ) {\displaystyle k({\overline {\phi (Y)}})} minus the codimension of ϕ ( Y ) ¯ {\d... | Algebraic cycles | 0.799167 |
83,681 | In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40. It has 84 faces (60 triangles, 12 pentagons, and 12 pentagrams), 150 edges, and 60 vertices. It is given a Schläfli symbol sr{5⁄2,5}, as a snub great dodecahedron. | Snub dodecadodecahedron | 0.799167 |
83,682 | {\displaystyle \chi _{A}(x):={\begin{cases}0,&x\in A;\\+\infty ,&x\not \in A.\end{cases}}} In probability theory, the characteristic function of any probability distribution on the real line is given by the following formula, where X is any random variable with the distribution in question: φ X ( t ) = E ( e i t X ) ... | Characteristic function | 0.799167 |
83,683 | A basic helix–loop–helix (bHLH) is a protein structural motif that characterizes one of the largest families of dimerizing transcription factors. The word "basic" does not refer to complexity but to the chemistry of the motif because transcription factors in general contain basic amino acid residues in order to facilit... | Basic helix-loop-helix transcription factors | 0.799166 |
83,684 | The conditions in the above theorems are sufficient, but not necessary for normality. Indeed, the family { z ↦ z } {\displaystyle \{z\mapsto z\}} is normal, but does not omit any complex value. | Montel's theorem | 0.799165 |
83,685 | In algebraic geometry, Lang's theorem, introduced by Serge Lang, states: if G is a connected smooth algebraic group over a finite field F q {\displaystyle \mathbf {F} _{q}} , then, writing σ: G → G , x ↦ x q {\displaystyle \sigma :G\to G,\,x\mapsto x^{q}} for the Frobenius, the morphism of varieties G → G , x ↦ x − 1 σ... | Lang map | 0.799165 |
83,686 | In August 2022, it was announced that the University of Melbourne will partner with Texas-based biotechnology company Colossal Biosciences to attempt to re-create the thylacine using the fat-tailed dunnart, its closest living relative, and return it to Tasmania. | Fat-tailed dunnart | 0.799165 |
83,687 | Games utilizing parallel projection typically make use of two-dimensional bitmap graphics as opposed to 3D-rendered triangle-based geometry, allowing developers to create large, complex gameworlds efficiently and with relatively few art assets by dividing the art into sprites or tiles and reusing them repeatedly (thoug... | Video game graphics | 0.799164 |
83,688 | The early enthusiasm for the new concept and for the rising new discipline of soil science led some to suggest the study of soil could proceed without regard to the older concepts derived from geology and agricultural chemistry. Certainly the reverse is true. Besides laying the foundation for a soil science with its ow... | History of soil science | 0.799164 |
83,689 | Welsh, Dominic (1988). Codes and Cryptography, Oxford University Press, A brief textbook intended for undergraduates. Some coverage of fundamental information theory. Requires some mathematical maturity; is well written, and otherwise accessible. | Books on cryptography | 0.799164 |
83,690 | Manufacturing Engineering is based on core industrial engineering and mechanical engineering skills, adding important elements from mechatronics, commerce, economics and business management. This field also deals with the integration of different facilities and systems for producing quality products (with optimal expen... | Product Engineering | 0.799164 |
83,691 | Callen subsequently completed his PhD in physics at the Massachusetts Institute of Technology (MIT) in 1947. He was supervised by the physicist László Tisza. His doctoral dissertation concerns the Kelvin thermoelectric and thermomagnetic relations, and Onsager's reciprocal relations; it was titled On the Theory of Irre... | Herbert Callen | 0.799164 |
83,692 | The works of the 17th-century mathematician Pierre de Fermat engendered many theorems. Fermat's theorem may refer to one of the following theorems: Fermat's Last Theorem, about integer solutions to an + bn = cn Fermat's little theorem, a property of prime numbers Fermat's theorem on sums of two squares, about primes ex... | Fermat's theorem | 0.799164 |
83,693 | Krishnan Raghavachari (born 3 April 1953, in Chennai, India) is a Professor of Chemistry at Indiana University Bloomington. Raghavachari began his education in his native India, completing his undergraduate degree in 1973 at Madras University and his masters from the Indian Institute of Technology in 1975. Following th... | Krishnan Raghavachari | 0.799163 |
83,694 | The School of Chemistry, University of Sydney is a school of the Faculty of Science at the University of Sydney. Two Nobel Laureates are associated with the School: John Cornforth completed his undergraduate degree in the School, graduating in 1938 with First Class Honours and the University Medal; and Robert Robinson ... | University of Sydney School of Chemistry | 0.799162 |
83,695 | 1943 Norman Steenrod publishes on homology with local coefficients. 1945 Jean Leray publishes work carried out as a prisoner of war, motivated by proving fixed-point theorems for application to PDE theory; it is the start of sheaf theory and spectral sequences. 1947 Henri Cartan reproves the de Rham theorem by sheaf me... | Sheaf of sets | 0.799162 |
83,696 | Moksiskaan is a data integration framework for the cancer research and molecular biology. The framework provides a relational database that represents a graph of biological entities such as genes, protein, drugs, pathways, diseases, biological processes, cellular components, and molecular functions. In addition, there ... | Anduril (workflow engine) | 0.799162 |
83,697 | A number of companies have developed techniques to upscale video frames in real-time, such as when they are drawn on screen in a video game. Nvidia's deep learning super sampling (DLSS) uses deep learning to upsample lower-resolution images to a higher resolution for display on higher-resolution computer monitors. AMD'... | Image upscaling | 0.799162 |
83,698 | The IMS/ASA Spring Research Conference (SRC) is an annual conference sponsored by the American Statistical Association (ASA) Section on Physical and Engineering Sciences (SPES) and the Institute of Mathematical Statistics (IMS). The goal of the SRC is to promote cross-disciplinary statistical research in engineering, s... | Spring Research Conference | 0.799162 |
83,699 | Geometrically, this action can be understood via a biplane geometry, which is defined as follows. A biplane geometry is a symmetric design (a set of points and an equal number of "lines", or rather blocks) such that any set of two points is contained in two lines, while any two lines intersect in two points; this is si... | Projective group | 0.799161 |
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