id int32 0 100k | text stringlengths 20 3.54k | source stringlengths 1 104 | similarity float32 0.8 0.91 |
|---|---|---|---|
6,200 | Blass, Andreas (1984), "Existence of bases implies the axiom of choice" (PDF), Axiomatic set theory, Contemporary Mathematics volume 31, Providence, R.I. : American Mathematical Society, pp. 31–33, ISBN 978-0-8218-5026-8, MR 0763890 Brown, William A. (1991), Matrices and vector spaces, New York: M. Dekker, ISBN 978-0-8... | Basis (algebra) | 0.829563 |
6,201 | The following is an example of a typical breakdown of the responsibilities of each area: Microbiology includes culturing of the bacteria in clinical specimens, such as feces, urine, blood, sputum, cerebrospinal fluid, and synovial fluid, as well as possible infected tissue. The work here is mainly concerned with cultur... | Medical lab | 0.829563 |
6,202 | 080801 - Applied computer science in economics 351400 - Applied computer science | Applied Information Science in Economics | 0.829563 |
6,203 | In biology, abiotic factors can include water, light, radiation, temperature, humidity, atmosphere, acidity, salinity, precipitation altitude, minerals, tides, rain, dissolved oxygen nutrients, and soil. The macroscopic climate often influences each of the above. Pressure and sound waves may also be considered in the c... | Abiotic component | 0.829562 |
6,204 | Numerous examples of plane curves are shown in Gallery of curves and listed at List of curves. The algebraic curves of degree 1 or 2 are shown here (an algebraic curve of degree less than 3 is always contained in a plane): | Plane curve | 0.829562 |
6,205 | For some projects, participants are instructed to collect and enter data, such as what species they observed, into large digital global databases. For other projects, participants help classify data on digital platforms. Citizen science data is also being used to develop machine learning algorithms. | Community science | 0.82956 |
6,206 | In statistics, the conditional probability table (CPT) is defined for a set of discrete and mutually dependent random variables to display conditional probabilities of a single variable with respect to the others (i.e., the probability of each possible value of one variable if we know the values taken on by the other v... | Conditional probability table | 0.829559 |
6,207 | The test process involves placing the test specimen in the testing machine and slowly extending it until it fractures. During this process, the elongation of the gauge section is recorded against the applied force. The data is manipulated so that it is not specific to the geometry of the test sample. The elongation mea... | Uniaxial tensile test | 0.829557 |
6,208 | Due to the presence of repeat sequences, they are difficult to construct through standard molecular biology procedure and rely on more complicated method of such as Golden gate cloning.In 2011, another major breakthrough technology was developed based on CRISPR/Cas (clustered regularly interspaced short palindromic rep... | Techniques of genetic engineering | 0.829556 |
6,209 | Materials science recognizes asperities ranging from the sub-visual (normally less than 0.1 mm) to the atomic scale. | Asperity (Geotechnical engineering) | 0.829555 |
6,210 | To add further flexibility, more than one main table is allowed, with main and submain tables having a one-to-many relation. Each main table can have its own dimension tables. To provide further query optimization, a data set can be partitioned into separate physical schemas on either the same database server or differ... | Reverse star schema | 0.829554 |
6,211 | Also in this case, the use of microorganisms has been explored. Using genetic engineering and synthetic biology techniques, parts of or whole biofuel-producing metabolic pathways can be introduced in photosynthetic organisms. One example is the production of 1-butanol in Synechococcus elongatus using enzymes from Clost... | Solar fuel | 0.829554 |
6,212 | System 2 handles planning, deduction, and deliberative thinking. In this view, deep learning best handles the first kind of cognition while symbolic reasoning best handles the second kind. Both are needed for a robust, reliable AI that can learn, reason, and interact with humans to accept advice and answer questions. S... | Neurosymbolic AI | 0.829553 |
6,213 | The judgments of likelihood were much closer for the judgments of similarity than for the estimated base rates. The findings supported the authors' predictions that people make predictions based on how representative something is (similar), rather than based on relative base rate information. For example, more than 95%... | Representativeness heuristic | 0.829549 |
6,214 | Example: The map method usually is done by inspection. The following example expands the algebraic method to show the "trick" behind the combining of terms on a Karnaugh map: Minterms #3 and #7 abut, #7 and #6 abut, and #4 and #6 abut (because the table's edges wrap around). So each of these pairs can be reduced.Observ... | Propositional formula | 0.829545 |
6,215 | The field is heavily reliant on mathematics, to include mathematical modeling. It in fact relies more on a mathematics background than a chemistry background. Organizations: An organization is a set of molecules that is closed and self-maintaining. As such, it is a set that does not create anything outside itself, and ... | Artificial chemistry | 0.829545 |
6,216 | In materials science, a general rule of mixtures is a weighted mean used to predict various properties of a composite material . It provides a theoretical upper- and lower-bound on properties such as the elastic modulus, ultimate tensile strength, thermal conductivity, and electrical conductivity. In general there are ... | Rule of mixtures | 0.829543 |
6,217 | Discrete Mathematics. 169 (1–3): 217–220. doi:10.1016/S0012-365X(96)00107-0. | Dominique de Caen | 0.829541 |
6,218 | In other words, it is possible that proper classes of the class of all terms have the same meaning and are thus identified in the free construction. However, the equivalence classes for the word problem of complete lattices are "too small", such that the free complete lattice would still be a proper class, which is not... | Complete lattice | 0.829538 |
6,219 | To demonstrate the application of the π theorem, consider the power consumption of a stirrer with a given shape. The power, P, in dimensions , is a function of the density, ρ , and the viscosity of the fluid to be stirred, μ , as well as the size of the stirrer given by its diameter, D , and the angular speed of the st... | Buckingham π theorem | 0.829536 |
6,220 | In computer science, the test-and-set instruction is an instruction used to write (set) 1 to a memory location and return its old value as a single atomic (i.e., non-interruptible) operation. The caller can then "test" the result to see if the state was changed by the call. If multiple processes may access the same mem... | Test-and-set | 0.829534 |
6,221 | This work which has been published in Nature solved a long-standing puzzle in biology. In 2017, he reported a new model for chaperone DnaK function and made a discovery that, according to Ans Hekkenberg, "overturns the decades-old textbook model of action for a protein that is central for many processes in living cells... | Alireza Mashaghi | 0.829532 |
6,222 | Specific bacterial populations develop and appear to be hosted in the mucus, being hence intimately involved in the worm biology. This triptych (animal + micro-algae + bacterial consortium) is a good example of the Holobiont paradigm that explains that an organism (animal or plant) is a complex and dynamic association ... | Symsagittifera roscoffensis | 0.829531 |
6,223 | The topic has also been studied in the fields of computer vision and astronomy. A number of studies have examined the mathematics of alignment of random points on the plane. In all of these, the width of the line — the allowed displacement of the positions of the points from a perfect straight line — is important. | Alignment of random points | 0.82953 |
6,224 | Hence, by the Rank–nullity theorem, if one generic framework is infinitesimally rigid then all generic frameworks are infinitesimal rigidity have rigid. Proposition 3. If a framework p {\displaystyle p} of a graph G {\displaystyle G} is infinitesimally rigid, then it is rigid. | Geiringer–Laman theorem | 0.829527 |
6,225 | supervised learning The machine learning task of learning a function that maps an input to an output based on example input-output pairs. It infers a function from labeled training data consisting of a set of training examples. In supervised learning, each example is a pair consisting of an input object (typically a ve... | Glossary of artificial intelligence | 0.829525 |
6,226 | Vowpal Wabbit: Open-source fast out-of-core online learning system which is notable for supporting a number of machine learning reductions, importance weighting and a selection of different loss functions and optimisation algorithms. It uses the hashing trick for bounding the size of the set of features independent of ... | Online machine learning | 0.829523 |
6,227 | Channels that have been shown to exclusively use this mechanism of gating are the TREK-1 and TRAAK channels. In studies using mammalian hair cells, the mechanism that pulls on proteins tethered from the intra- and extra-cytoplasmic domain of the channel to the cytoskeleton and extracellular matrix, respectively, is the... | Mechanically gated ion channel | 0.82952 |
6,228 | Squirrel uses artificial intelligence to tailor lesson plans to each individual student. Chinese researchers have access to the world's largest student databases, which are used to train AI's.Squirrel works with teachers to identify the most fine-grained possible concepts (“knowledge points”) for a course in order to p... | Squirrel AI | 0.82952 |
6,229 | This technique originated with Eng and Yates in 1994 which involves comparing a theoretical peptide fragment spectrum to compare an experimentally derived peptide spectrum to and outputting the most likely matches found. However, in the absence of an established peptide database, Proteogenomics instead compares the exp... | Proteogenomics | 0.829519 |
6,230 | The number m is fixed by the degree of the field Q(α,eα), but k is the number of points we are interpolating at, and so we can increase it at will. And once k > 2(m + 1)/3 we will have Ω → 0, eventually contradicting the established condition Ω ≥ 1. Thus eα cannot be algebraic after all. | Auxiliary function | 0.829519 |
6,231 | In addition to the identities listed above, negation has the following algebraic properties: −(−a) = a, it is an Involution operation −(a + b) = (−a) + (−b) −(a − b) = b − a a − (−b) = a + b (−a) × b = a × (−b) = −(a × b) (−a) × (−b) = a × b notably, (−a)2 = a2 | Negation (arithmetic) | 0.829518 |
6,232 | Deep learning is a form of machine learning that utilizes a neural network to transform a set of inputs into a set of outputs via an artificial neural network. Deep learning methods, often using supervised learning with labeled datasets, have been shown to solve tasks that involve handling complex, high-dimensional raw... | Deep reinforcement learning | 0.829516 |
6,233 | DSAIRM (Dynamical Systems Approach to Immune Response Modeling) is a R package that is designed for studying infection and immune response dynamics without prior knowledge of coding.Other useful applications and learning environments are: Gepasi, Copasi, BioUML, Simbiology (MATLAB) and Bio-SPICE. | Systems immunology | 0.829516 |
6,234 | Much has to be learned about the interactions between the sheath structure, the geometry of the mesh, the size of the endbody, and its relation to current collection. This technology also has the potential to resolve a number of issues concerning EDTs. Diminishing returns with collection current and drag area have set ... | Electrodynamic tether | 0.829515 |
6,235 | Invest saved resources into arithmetic units or bigger memories: since a remarkable amount of hardware resources can be saved by dropping general-purpose architectural optimizations such as out-of-order execution, prefetching, address coalescing, and hardware speculation, the resources saved should be re-invested to ma... | Domain-specific architecture | 0.829515 |
6,236 | The inference rule modus tollens asserts that the inference from P implies Q to the negation of Q implies the negation of P is valid. Monte Carlo tree search In computer science, Monte Carlo tree search (MCTS) is a heuristic search algorithm for some kinds of decision processes. multi-agent system (MAS) Also self-organ... | Glossary of artificial intelligence | 0.829514 |
6,237 | When a maze has multiple solutions, the solver may want to find the shortest path from start to finish. There are several algorithms to find shortest paths, most of them coming from graph theory. One such algorithm finds the shortest path by implementing a breadth-first search, while another, the A* algorithm, uses a h... | Wall follower | 0.829513 |
6,238 | In computer science, radix sort is a non-comparative sorting algorithm. It avoids comparison by creating and distributing elements into buckets according to their radix. For elements with more than one significant digit, this bucketing process is repeated for each digit, while preserving the ordering of the prior step,... | Radix sorting | 0.829507 |
6,239 | In computer science, a dichotomic search is a search algorithm that operates by selecting between two distinct alternatives (dichotomies) at each step. It is a specific type of divide and conquer algorithm. A well-known example is binary search. | Dichotomic search | 0.829507 |
6,240 | This suggests that a logic with set-sized-infinitary operations may have class-many terms—just as a logic with finitary operations may have infinitely many terms. There is however another approach to introducing infinitary Boolean operations: simply drop "finitary" from the definition of Boolean algebra. A model of the... | Power set algebra | 0.829507 |
6,241 | PH contains almost all well-known complexity classes inside PSPACE; in particular, it contains P, NP, and co-NP. It even contains probabilistic classes such as BPP (this is the Sipser–Lautemann theorem) and RP. However, there is some evidence that BQP, the class of problems solvable in polynomial time by a quantum comp... | PH (complexity) | 0.829506 |
6,242 | A 1973 report compared the test performance of such students with those from traditional mathematics curricula. It found that the SSMCIS students did better on the mathematics portion of the Preliminary Scholastic Aptitude Test (PSAT), even when matched for background and performance on the verbal portion. It also foun... | Secondary School Mathematics Curriculum Improvement Study | 0.829505 |
6,243 | All the symbols of propositional calculus apart from the Atom symbols are used in Typographical Number Theory, and they retain their interpretations. Atoms are here defined as strings which amount to statements of equality, such as 2 plus 3 equals five: (SS0 + SSS0) = SSSSS02 plus 2 is equal to 4: (SS0 + SS0) = SSSS0 | Typographical Number Theory | 0.829504 |
6,244 | Another example is a bucket of water that is rotating uniformly (i.e. undergoing solid body rotation). Here the fluid is subject to the Taylor-Proudman theorem which says that small motions will tend to produce purely two-dimensional perturbations to the overall rotational flow. However, in this case the effects of rot... | Taylor number | 0.829502 |
6,245 | Immunology: studies the immune system Microbiology: studies characteristics of microorganisms such as bacteria and their role in human health Neuroscience: studies on function and structure the nervous system, including the brain Oncology (a.k.a. cancer biology): studies the causes and characteristics of cancer Parasit... | Biomedical scientist | 0.829499 |
6,246 | Since 2009, the recurrent neural networks and deep feedforward neural networks developed in the research group of Jürgen Schmidhuber at the Swiss AI Lab IDSIA have won several international handwriting competitions. In particular, the bi-directional and multi-dimensional Long short-term memory (LSTM) of Alex Graves et ... | Handwritten text recognition | 0.829498 |
6,247 | Plant Physiology is a monthly peer-reviewed scientific journal that covers research on physiology, biochemistry, cellular and molecular biology, genetics, biophysics, and environmental biology of plants. The journal has been published since 1926 by the American Society of Plant Biologists. The current editor-in-chief i... | Plant Physiology (journal) | 0.829497 |
6,248 | An interesting example is the graph isomorphism problem, the graph theory problem of determining whether a graph isomorphism exists between two graphs. Two graphs are isomorphic if one can be transformed into the other simply by renaming vertices. Consider these two problems: Graph Isomorphism: Is graph G1 isomorphic t... | NP-completeness | 0.829496 |
6,249 | The term semifield has two conflicting meanings, both of which include fields as a special case. In projective geometry and finite geometry (MSC 51A, 51E, 12K10), a semifield is a nonassociative division ring with multiplicative identity element. More precisely, it is a nonassociative ring whose nonzero elements form a... | Semifield | 0.829496 |
6,250 | Pyroglutamate is found in many proteins including bacteriorhodopsin. N-terminal glutamic acid and glutamine residues can spontaneously cyclize to become pyroglutamate, or enzymatically converted by glutaminyl cyclases. This is one of several forms of blocked N-termini which present a problem for N-terminal sequencing u... | Pyroglutamic acid | 0.829495 |
6,251 | The term is also used in statistics to describe a model that is staged. For example, a classifier (for example k-means), takes a vector of features (decision variables) and outputs for each possible classification result the probability that the vector belongs to the class. This is usually used to take a decision (clas... | Cascading classifiers | 0.829495 |
6,252 | The effect is based on the very high electric fields generated during light exposure (1–100 kV/cm) within the illuminated spot. These intense fields are also finding applications in biophysics and biotechnology, as they can influence living organisms in a variety of ways. For example, iron-doped lithium niobate excited... | LiNbO3 | 0.829495 |
6,253 | In this case structure and chemistry abrupt changes are possible at a critical value of a thermodynamic parameter like temperature or pressure. This may strongly affect the macroscopic properties of the material, for example the electrical resistance or creep rates. Grain boundaries can be analyzed using equilibrium th... | Grain boundary | 0.829495 |
6,254 | In the case of the cube (3-cube), this is how the volume of a pyramid was originally rigorously established: the cube has 3-fold symmetry, with fundamental domain a pyramids, dividing the cube into 3 pyramids, corresponding to the fact that the volume of a pyramid is one third of the base times the height. This illustr... | Cavalieri's quadrature formula | 0.829491 |
6,255 | The G2 uses seven calculations: the molecular geometry is obtained by a MP2 optimization using the 6-31G(d) basis set and all electrons included in the perturbation. This geometry is used for all subsequent calculations. The highest level of theory is a quadratic configuration interaction calculation with single and do... | Quantum chemistry composite methods | 0.82949 |
6,256 | Not all barcodes work as players; instead some represent enemies or powerups. Because of the ubiquity of barcodes in daily life, players were encouraged to go beyond the barcodes provided with the game itself and to experiment to find their own barcode monsters and powerups from everyday products like food and cleaning... | Barcode Battler | 0.82949 |
6,257 | In theoretical computer science, other approaches for the construction of integers are used by automated theorem provers and term rewrite engines. Integers are represented as algebraic terms built using a few basic operations (e.g., zero, succ, pred) and, possibly, using natural numbers, which are assumed to be already... | Integer number | 0.829489 |
6,258 | Table data obtained from CRC Handbook of Chemistry and Physics, 44th ed. The "(s)" notation indicates temperature of solid/vapor equilibrium. Otherwise the data is temperature of liquid/vapor equilibrium. | Formic acid (data page) | 0.829489 |
6,259 | The largest segment of healthcare-related venture capital investments are made by the venture arms of firms who focus on biotechnology and pharmaceutical products, such as Eli Lilly and Company, GlaxoSmithKline, Takeda Pharmaceutical Company (TCP), Biogen Idec, and Roche. Because the top priority of many of these ventu... | Corporate venture capital | 0.829488 |
6,260 | By 2019 methods in eDNA research had been expanded to be able to assess whole communities from a single sample. This process involves metabarcoding, which can be precisely defined as the use of general or universal polymerase chain reaction (PCR) primers on mixed DNA samples from any origin followed by high-throughput ... | Environmental DNA | 0.829487 |
6,261 | Recent developments have made a large impact on biostatistics. Two important changes have been the ability to collect data on a high-throughput scale, and the ability to perform much more complex analysis using computational techniques. This comes from the development in areas as sequencing technologies, Bioinformatics... | Biostatistics | 0.829486 |
6,262 | Intuitively, when the departments Vi are larger, and there is less conflict between faculty members, an ISR should be more likely to exist. The "less conflict" condition is represented by the vertex degree of the graph. This is formalized by the following theorem:: Thm.2 If the degree of every vertex in G is at most d,... | Rainbow-independent set | 0.829485 |
6,263 | There are promising experiments with genetic algorithms and annealing optimizations. To automate costly engineering processes, some EDA can take state tables that describe state machines and automatically produce a truth table or a function table for the combinational logic of a state machine. The state table is a piec... | Digital electronics | 0.82948 |
6,264 | Metabotropic receptors, are slow response receptors in postsynaptic cells. Typically these slow responses are characterized by more elaborate intracellular changes in biochemistry. Responses of neurotransmitter uptake by metabotropic receptors can result in the activation of intracellualar enzymes and cascades involvin... | Molecular Neuroscience | 0.829479 |
6,265 | This tiny nonlinearity can be interpreted in terms of virtual pair production A characteristic electric field strength for which the nonlinearities become sizable is predicted to be enormous, about 1.32 × 10 18 {\displaystyle 1.32\times 10^{18}} V/m, known as the Schwinger limit; the equivalent Kerr constant has been e... | Quantum Vacuum | 0.829476 |
6,266 | Some of the simplest machine learning algorithms—for instance, for regression—have hypothesis spaces with unbounded VC-dimension. Another example is language learning algorithms that can produce sentences of arbitrary length. Stability analysis was developed in the 2000s for computational learning theory and is an alte... | Stability (learning theory) | 0.829473 |
6,267 | A fundamental problem in combinatorial optimization is finding a maximum matching. This problem has various algorithms for different classes of graphs. In an unweighted bipartite graph, the optimization problem is to find a maximum cardinality matching. The problem is solved by the Hopcroft-Karp algorithm in time O(√VE... | Bipartite matching | 0.829472 |
6,268 | Object (computer science) Object type OOPSLA – annual conference on Object-Oriented Programming, Systems, Languages, and Applications Open/closed principle Orthogonality Overload | Index of object-oriented programming articles | 0.829472 |
6,269 | Similarly, Apastamba's rules for constructing right angles in fire-altars use the following Pythagorean triples: ( 3 , 4 , 5 ) {\displaystyle (3,4,5)} ( 5 , 12 , 13 ) {\displaystyle (5,12,13)} ( 8 , 15 , 17 ) {\displaystyle (8,15,17)} ( 12 , 35 , 37 ) {\displaystyle (12,35,37)} In addition, the sutras describe procedur... | Shulba Sutras | 0.82947 |
6,270 | In the second year of the Challenge X competition, HEVT was the first place team (Gurski). Virginia Tech's competition entry, the REVLSE (Renewable Energy Vehicle, the Larsen Special Edition) is a split parallel hybrid using a Ballard Ranger 67 kW ACI rear traction motor, an 8 kW MES belted alternator starter, and a Sa... | HEVT | 0.829468 |
6,271 | Programs may also cover matrix operations, as above. At many US universities, business students (instead) study "finite mathematics", a course combining several applicable topics, including basic probability theory, an introduction to linear programming, some theory of matrices, and introductory game theory; the course... | Business mathematics | 0.829467 |
6,272 | However, in projective space, parallelism does not exist; two flats must either intersect or be skew. Let I be the set of points on an i-flat, and let J be the set of points on a j-flat. In projective d-space, if i + j ≥ d then the intersection of I and J must contain a (i+j−d)-flat. (A 0-flat is a point.) In either ge... | Nearest distance between skew lines | 0.829467 |
6,273 | When storing and manipulating sparse matrices on a computer, it is beneficial and often necessary to use specialized algorithms and data structures that take advantage of the sparse structure of the matrix. Specialized computers have been made for sparse matrices, as they are common in the machine learning field. Opera... | Symmetric sparse matrix | 0.829463 |
6,274 | Deformation in the plastic range is non-linear, and is described by the stress-strain curve. This response produces the observed properties of scratch and indentation hardness, as described and measured in materials science. Some materials exhibit both elasticity and viscosity when undergoing plastic deformation; this ... | Hardness tester | 0.829463 |
6,275 | The synthesis of three kinds of "jeewanu" have been reported; two of them were organic, and the other was inorganic. Other similar inorganic structures have also been produced. The investigating scientist (V. O. Kalinenko) referred to them as "bio-like structures" and "artificial cells". Formed in distilled water (as w... | Protocell | 0.829463 |
6,276 | In computer science, an x-fast trie is a data structure for storing integers from a bounded domain. It supports exact and predecessor or successor queries in time O(log log M), using O(n log M) space, where n is the number of stored values and M is the maximum value in the domain. The structure was proposed by Dan Will... | X-fast trie | 0.829461 |
6,277 | The notion of an absolute presentation arises from Bernhard Neumann's study of the isomorphism problem for algebraically closed groups.A common strategy for considering whether two groups G {\displaystyle G} and H {\displaystyle H} are isomorphic is to consider whether a presentation for one might be transformed into a... | Absolute presentation of a group | 0.829461 |
6,278 | DISIS2 receives the raw amino acid sequence and generates all features from it, such as secondary structure, solvent accessibility, disorder, b-value, protein-protein interaction, coiled coils, and evolutionary profiles, etc. The amount of predicted features is much larger than of DISIS (previous version). Finally, DIS... | Protein–DNA interaction site predictor | 0.82946 |
6,279 | William M. Kahan, the principal architect of IEEE 754-1985 criticizes type I unums on the following grounds (some are addressed in type II and type III standards): The description of unums sidesteps using calculus for solving physics problems. Unums can be expensive in terms of time and power consumption. Each computat... | Unum (number format) | 0.829457 |
6,280 | To obtain means, variances and other statistics, both quantities and their occurrences are required. The gene effects (above) provide the framework for quantities: and the frequencies of the contrasting alleles in the fertilization gamete-pool provide the information on occurrences. Commonly, the frequency of the allel... | Polygenic trait | 0.829455 |
6,281 | Analogous to biology, EAs distinguish between problem space (corresponds to phenotype) and search space (corresponds to genotype). The problem space contains concrete solutions to the problem being addressed, while the search space contains the encoded solutions. The mapping from search space to problem space is called... | Genetic representation | 0.829452 |
6,282 | The quantization of electricity is one of the most fundamental and striking features of atomic physics, and there seems to be no explanation for it apart from the theory of poles. This provides some grounds for believing in the existence of these poles. | Montonen–Olive duality | 0.82945 |
6,283 | The Romanian Master of Mathematics and Sciences (formerly known as the Romanian Masters in Mathematics) is an annual competition for students at the pre-university level, held in Bucharest, Romania. The contestants compete individually, in four different sections: mathematics, physics, chemistry and computer science. T... | Romanian Master of Mathematics and Sciences | 0.82945 |
6,284 | In a physical setting a measurement instrument may be gauged to measuring substances of a specific physical quantity. In such a context the specific physical quantity is called a measured quantity. The synonymous notion "observable" often is used in the context of quantum mechanics. Scientific models and ensuing mathem... | Measured quantity | 0.829449 |
6,285 | BMC Genetics. 9 (1). | Haplogroup G (mtDNA) | 0.829447 |
6,286 | This kind of solubility is of great importance in geology, where it results in formation of metamorphic rocks. In principle, both congruent and incongruent dissolution can lead to the formation of secondary solid phases in equilibrium. So, in the field of Materials Science, the solubility for both cases is described mo... | Solubility rules | 0.829446 |
6,287 | According to the classical four-vertex theorem, every simple closed planar smooth curve must have at least four vertices. A more general fact is that every simple closed space curve which lies on the boundary of a convex body, or even bounds a locally convex disk, must have four vertices. Every curve of constant width ... | Vertex (curve) | 0.829446 |
6,288 | The ring Z / 6 Z {\displaystyle \mathbb {Z} /6\mathbb {Z} } is not a domain, because the images of 2 and 3 in this ring are nonzero elements with product 0. More generally, for a positive integer n {\displaystyle n} , the ring Z / n Z {\displaystyle \mathbb {Z} /n\mathbb {Z} } is a domain if and only if n {\displaystyl... | Domain (ring theory) | 0.829445 |
6,289 | This issue can be mitigated to some extent by sequencing to a greater depth of read coverage, however this is often expensive, and many practical studies require making inferences on low coverage data.Probabilistic methods aim to overcome the above issue, by producing robust estimates of the probabilities of each of th... | SNV calling from NGS data | 0.829442 |
6,290 | GenMAPP was developed by biologists and is focused on pathway visualization for bench biologists. Unlike many other computational systems biology tools, GenMAPP is not designed for cell/systems modeling; it focuses on the immediate needs of bench biologists by enabling them to rapidly interpret genomic data with an int... | GenMAPP | 0.829435 |
6,291 | Possible fields for deep tech application include agriculture, life sciences, chemistry, aerospace and green energy. In business context, deep tech has three key attributes: potential for impact, a long time to reach market-ready maturity, and substantial requirement for capital. Deep tech innovations are often radical... | Deep technology | 0.829435 |
6,292 | quantum computing The use of quantum-mechanical phenomena such as superposition and entanglement to perform computation. A quantum computer is used to perform such computation, which can be implemented theoretically or physically. : I-5 queue A collection in which the entities in the collection are kept in order and th... | Glossary of computer science | 0.829435 |
6,293 | (The theories that have been proved consistent by these methods are quite strong, and include most "ordinary" mathematics.) Although there is no algorithm for deciding the truth of statements in Peano arithmetic, there are many interesting and non-trivial theories for which such algorithms have been found. For example,... | Hilbert's Program | 0.829435 |
6,294 | Calculus can be applied to equations expressed in polar coordinates.The angular coordinate φ is expressed in radians throughout this section, which is the conventional choice when doing calculus. | Polar equation | 0.829433 |
6,295 | Abrasion (mechanical) – AC adapter – AC power plugs and sockets – AC power – AC/AC converter – AC/DC receiver design – AC/DC conversion – Active rectification – Actuator – Adaptive control – Adjustable-speed drive – Advanced Z-transform – Affinity law – Agbioeletric – AIEE – All American Five – Alloy – ALOHAnet – Alpha... | Index of electrical engineering articles | 0.829432 |
6,296 | If the field K of characteristic 2 is not perfect (that is, K is different from its subfield K2 of squares), then the Clifford algebra is another important invariant of a quadratic form. A corrected version of Arf's original statement is that if the degree is at most 2, then every quadratic form over K is completely c... | Arf invariant | 0.829432 |
6,297 | The Aharonov–Bohm effect shows that the local E and B fields do not contain full information about the electromagnetic field, and the electromagnetic four-potential, (Φ, A), must be used instead. By Stokes' theorem, the magnitude of the Aharonov–Bohm effect can be calculated using the electromagnetic fields alone, or u... | Aharonov–Bohm nano rings | 0.829431 |
6,298 | Under these assumptions, the above argument shows that an order preserving map from the collection of strings to an interval of the real numbers cannot be a bijection: either some numbers do not correspond to any string, or some of them correspond to more than one string. Marko Petkovšek has proven that for any positio... | 0.999... | 0.82943 |
6,299 | Discrete subgroups of the spin group can be understood by relating them to discrete subgroups of the special orthogonal group (rotational point groups). Given the double cover Spin(n) → SO(n), by the lattice theorem, there is a Galois connection between subgroups of Spin(n) and subgroups of SO(n) (rotational point grou... | Spinor group | 0.829429 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.