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3,000 | Among other results, this theory shows that angle trisection and squaring the circle cannot be done with a compass and straightedge. Moreover, it shows that quintic equations are, in general, algebraically unsolvable. Fields serve as foundational notions in several mathematical domains. | Field (algebra) | 0.83579 |
3,001 | Any finite group that has a Hall π-subgroup for every set of primes π is solvable. This is a generalization of Burnside's theorem that any group whose order is of the form paqb for primes p and q is solvable, because Sylow's theorem implies that all Hall subgroups exist. This does not (at present) give another proof of... | Hall divisor | 0.835786 |
3,002 | Teaching about the functioning of electrical circuits is often on primary and secondary school curricula. Students are expected to understand the rudiments of circuit diagrams and their functioning. Use of diagrammatic representations of circuit diagrams can aid understanding of principles of electricity. Principles of... | Circuit schematics | 0.835786 |
3,003 | The underlying processes in the optimization (as in the insert of Figure 2) are manifold. The processes can be grouped into mutually dependent soil physical, soil chemical/biological, and hydrological processes (Figure 3): The soil physical processes include soil aeration, soil structure, soil stability, and soil tempe... | Drainage research | 0.83578 |
3,004 | In biochemistry, dephosphorylation is the removal of a phosphate (PO43−) group from an organic compound by hydrolysis. It is a reversible post-translational modification. Dephosphorylation and its counterpart, phosphorylation, activate and deactivate enzymes by detaching or attaching phosphoric esters and anhydrides. A... | Dephosphorylation | 0.83578 |
3,005 | Hence it is often possible to prove in Q every specific instance of a fact about the natural numbers, but not the associated general theorem. For example, 5 + 7 = 7 + 5 is provable in Q, but the general statement x + y = y + x is not. Similarly, one cannot prove that Sx ≠ x. A model of Q that fails many of the standard... | Robinson arithmetic | 0.835779 |
3,006 | By using the Pythagorean theorem, they reduced geometric problems to algebra systematically. The number of unknowns in an equation was, however, quite limited. They used notations of an array of numbers to represent a formula; for example, ( a b c ) {\displaystyle (a\ b\ c)} for a x 2 + b x + c {\displaystyle ax^{2}+bx... | Seki Takakazu | 0.835779 |
3,007 | In Cyprus Four provincial competitions and a National (Pancyprian) competition are held every year. During this procedure 30 students are selected and Four Team Selection Tests are held to determine who will be the six member of national team for IMO In every competition or test there are four problem usually covering ... | International Mathematical Olympiad selection process | 0.835778 |
3,008 | Two later articles help explain the actual mechanism underlying codon-pair deoptimization: codon-pair bias is the result of dinucleotide bias. By studying viruses and their hosts, both sets of authors were able to conclude that the molecular mechanism that results in the attenuation of viruses is an increase in dinucle... | K-mer | 0.835776 |
3,009 | Briefings in Bioinformatics is a peer-reviewed scientific journal covering bioinformatics, including reviews of databases and analytical tools for genetics and molecular biology. It also publishes primary research papers on novel bioinformatic models and tools. It is published by Oxford University Press. The EMBnet com... | Briefings in Bioinformatics | 0.835775 |
3,010 | Formally, it is possible for objects in computer science to be considered "equal" under some equivalence relation but still distinct under another relation. Some types of multiset implementations will store distinct equal objects as separate items in the data structure; while others will collapse it down to one version... | Multiset (abstract data type) | 0.835769 |
3,011 | If the distribution of the electric charge in the molecule is known, e.g. from quantum chemistry, then it is possible to calculate the charge q ∗ {\displaystyle q^{*}} on the surface segments. For solvents with finite dielectric constant this charge q {\displaystyle q} is lower by approximately a factor f ( ε ) {\displ... | COSMO Solvation Model | 0.835768 |
3,012 | It is possible that actin could be applied to nanotechnology as its dynamic ability has been harnessed in a number of experiments including those carried out in acellular systems. The underlying idea is to use the microfilaments as tracks to guide molecular motors that can transport a given load. That is actin could be... | F actin | 0.835764 |
3,013 | He then defines P as all physical facts. Then he poses a dilemma: "If P&~C is conceivable, then C is not physically explicable." This is because P&~C logically means physics alone doesn't explain C. If true, this horn would invalidate #3 of C. | Phenomenal concept strategy | 0.835763 |
3,014 | However, there are some important theorems for which no other method of proof has been found, such as The proof that there is no finite projective plane of order 10. The classification of finite simple groups. The Kepler conjecture. The Boolean Pythagorean triples problem. | Proof by cases | 0.835762 |
3,015 | Although not particularly interested in the subject, Born was obliged to present a paper. He presented one in which, taking the simple case of a curved wire with both ends fixed, he used Hilbert's calculus of variations to determine the configuration that would minimise potential energy and therefore be the most stable... | Max Born | 0.835762 |
3,016 | Since deterministic Turing machines are special non-deterministic Turing machines, it is easily observed that each problem in P is also member of the class NP. The question of whether P equals NP is one of the most important open questions in theoretical computer science because of the wide implications of a solution. ... | Tractable problem | 0.835761 |
3,017 | The maximum-likelihood approach uses probability theory to complete all three steps simultaneously. It estimates critical parameters, including the divergence between sequences and the transition/transversion ratio, by deducing the most likely values to produce the input data. | Ka/Ks ratio | 0.835761 |
3,018 | In Newtonian gravitation; masses are the sources of the field so that field lines terminate at objects that have mass. Similarly, charges are the sources and sinks of electrostatic fields: positive charges emanate electric field lines, and field lines terminate at negative charges. These field concepts are also illustr... | Classical field theories | 0.835759 |
3,019 | Helium and nitrogen are rapidly mixed to the surface due to the large convective core and high mass loss, and their presence in the stellar wind creates the characteristic Wolf–Rayet emission spectrum. The ZAMS at very high masses curves back to cooler temperatures, and at LMC metallicities the maximum temperature pred... | Heaviest star | 0.835756 |
3,020 | Since the caches mediate accesses to memory addresses, data written to different addresses may reach the peripherals' memory or registers out of the program order, i.e. if software writes data to an address and then writes data to another address, the cache write buffer does not guarantee that the data will reach the p... | Incomplete address decoding | 0.835755 |
3,021 | The coefficient attached to the highest degree of the variable in a polynomial is referred to as the leading coefficient. For example, in the expressions above, the leading coefficients are 2 and a, respectively. In the context of differential equations, an equation can often be written as equating to zero a polynomial... | Leading coefficient | 0.835752 |
3,022 | Input enhancement when searching has been an essential component of the algorithm world for some time in computer science. The main idea behind this principle is that the efficiency of a search is much faster when the time is taken to create or sort a data structure of the given input before attempting to search for th... | Input enhancement (computer science) | 0.835751 |
3,023 | This poses strong restrictions on the use of machine learning or data mining techniques, since the relationship between the learning problem (often some kind of database) and the effectiveness of different learning algorithms is not yet understood. By using different kinds of metadata, like properties of the learning p... | Meta-learning (computer science) | 0.83575 |
3,024 | That is, a homomorphism f: A → B {\displaystyle f\colon A\to B} is a split epimorphism if there exists a homomorphism g: B → A {\displaystyle g\colon B\to A} such that f ∘ g = Id B . {\displaystyle f\circ g=\operatorname {Id} _{B}.} A split epimorphism is always an epimorphism, for both meanings of epimorphism. For set... | Surjective homomorphism | 0.835744 |
3,025 | A group of undergraduates were provided with a description of Linda, modelled to be representative of an active feminist. Then participants were then asked to evaluate the probability of her being a feminist, the probability of her being a bank teller, or the probability of being both a bank teller and feminist. Probab... | Representative heuristic | 0.835742 |
3,026 | In chemistry, electron counting is a formalism for assigning a number of valence electrons to individual atoms in a molecule. It is used for classifying compounds and for explaining or predicting their electronic structure and bonding. Many rules in chemistry rely on electron-counting: Octet rule is used with Lewis str... | Electron counting | 0.835739 |
3,027 | The following procedures are examples of classification algorithms. Nearest-Neighbor Rule (e.g. k-nearest neighbors) Minimum distance classifier Cascade classifier Naive Bayes classifier Artificial neural network Radial basis function network (RBF) Support vector machine (SVM) Principal component analysis (PCA)If the d... | Medical diagnostic software | 0.835738 |
3,028 | The following decision problem related to maximum cuts has been studied widely in theoretical computer science: Given a graph G and an integer k, determine whether there is a cut of size at least k in G.This problem is known to be NP-complete. It is easy to see that the problem is in NP: a yes answer is easy to prove b... | Max cut | 0.835738 |
3,029 | Some experts expressed skepticism that GPT-2 posed a significant threat. The Allen Institute for Artificial Intelligence responded to GPT-2 with a tool to detect "neural fake news". Other researchers, such as Jeremy Howard, warned of "the technology to totally fill Twitter, email, and the web up with reasonable-soundin... | Open AI | 0.835736 |
3,030 | In computational chemistry and molecular dynamics, the combination rules or combining rules are equations that provide the interaction energy between two dissimilar non-bonded atoms, usually for the part of the potential representing the van der Waals interaction. In the simulation of mixtures, the choice of combining ... | Combining rules | 0.835729 |
3,031 | On modern computers, locality of reference can be of paramount importance in software optimization, because multilevel memory hierarchies are used. Cache-aware versions of the merge sort algorithm, whose operations have been specifically chosen to minimize the movement of pages in and out of a machine's memory cache, h... | Tiled merge sort | 0.835724 |
3,032 | Multiplying the equation by a2 and dividing by b3 gives: ( a x b ) 3 + ( a x b ) 2 = c a 2 b 3 . {\displaystyle \left({\frac {ax}{b}}\right)^{3}+\left({\frac {ax}{b}}\right)^{2}={\frac {ca^{2}}{b^{3}}}.} Substituting y = ax/b gives: y 3 + y 2 = c a 2 b 3 {\displaystyle y^{3}+y^{2}={\frac {ca^{2}}{b^{3}}}} which could n... | Babylonian geometry | 0.835723 |
3,033 | News and Reports—Offering short news and reports events on biology education. In Brief—Short articles explaining interesting facts. Questions and Answers—Questions about biology concepts and their answers. Book and periodical Reviews—About new publication on biology and/or education. Reactions—Letter to the editors. | Roshd Biological Education | 0.83572 |
3,034 | In one English translation, Hilbert asks: "When we are engaged in investigating the foundations of a science, we must set up a system of axioms which contains an exact and complete description of the relations subsisting between the elementary ideas of that science. ... But above all I wish to designate the following a... | Hilbert's second problem | 0.835716 |
3,035 | • clinical engineering – applying the latest technology to health care and health care systems in hospitals. • genomics and genetic engineering – mapping, sequencing and analyzing genomes (DNA), and applying molecular biology methods to manipulate the genetic material of cells, viruses and organisms. • medical or biolo... | Medical equipment management | 0.835712 |
3,036 | With the exception of infrared wavelengths close to visible light, such radiation is heavily absorbed by the atmosphere, or masked, as the atmosphere itself produces significant infrared emission. Consequently, infrared observatories have to be located in high, dry places on Earth or in space. Some molecules radiate st... | Space astronomy | 0.835708 |
3,037 | This includes different definitions of probability (see frequency probability, Bayesian probability) and different assumptions on the generation of samples. The different approaches include: Exact learning, proposed by Dana Angluin; Probably approximately correct learning (PAC learning), proposed by Leslie Valiant; VC ... | Computational Learning Theory | 0.835697 |
3,038 | Condensed matter physicsIs the field of physics that deals with the macroscopic and microscopic physical properties of matter. In particular it is concerned with the "condensed" phases that appear whenever the number of constituents in a system is extremely large and the interactions between the constituents are strong... | Glossary of engineering: A–L | 0.835693 |
3,039 | Compared with humans, all existing computer programs that attempt human-level AI perform extremely poorly on modern "commonsense reasoning" benchmark tests such as the Winograd Schema Challenge. The problem of attaining human-level competency at "commonsense knowledge" tasks is considered to probably be "AI complete" (... | Commonsense knowledge (artificial intelligence) | 0.835692 |
3,040 | In mathematics, especially homological algebra and other applications of abelian category theory, the short five lemma is a special case of the five lemma. It states that for the following commutative diagram (in any abelian category, or in the category of groups), if the rows are short exact sequences, and if g and h ... | Short five lemma | 0.83569 |
3,041 | Since then, biochemistry has advanced, especially since the mid-20th century, with the development of new techniques such as chromatography, X-ray diffraction, NMR spectroscopy, radioisotopic labelling, electron microscopy and molecular dynamics simulations. These techniques allowed for the discovery and detailed analy... | History of biochemistry | 0.835686 |
3,042 | For instance, function inlining, where a call to a function is replaced by a copy of the function body. Machine code optimization and object code optimizer These analyze the executable task image of the program after all of an executable machine code has been linked. | Compiler optimization | 0.835685 |
3,043 | In electrochemistry, electrode potential is the electromotive force of a galvanic cell built from a standard reference electrode and another electrode to be characterized. By convention, the reference electrode is the standard hydrogen electrode (SHE). It is defined to have a potential of zero volts. It may also be def... | Electrode voltage | 0.835684 |
3,044 | In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable. The method is also occasionally known as the "cross your heart" method because lines resemb... | Rule of proportion | 0.835684 |
3,045 | The Civil Engineering Standard Method of Measurement (commonly known as CESMM3) sets out a procedure for the preparation of a bill of quantities for civil engineering works, for pricing and for expression and measurement of quantities of work. CESMM3 includes 26 main clauses of work: | CESMM3 | 0.835681 |
3,046 | The above code would never detect such a change; without the volatile keyword, the compiler assumes that the current program is the only part of the system that could change the value (which is by far the most common situation). To prevent the compiler from optimizing code as above, the volatile keyword is used: With t... | Volatile variable | 0.835677 |
3,047 | A paper by Martin Grötschel, László Lovász, and Alexander Schrijver on the ellipsoid method, awarded the 1982 Fulkerson Prize.M. Grötschel, L. Lovász, A. Schrujver: The ellipsoid method and its consequences in combinatorial optimization, Combinatorica, 1(1981), 169–197.József Beck's paper on the discrepancy of hypergra... | Combinatorica | 0.835672 |
3,048 | Electronics design routinely uses a four-valued logic, with "hi-impedance (z)" and "don't care (x)" playing similar roles to "don't know" and "both true and false" respectively, in addition to true and false. This logic was developed independently of philosophical logics. Control System: A model reference control built... | Paraconsistent logic | 0.835668 |
3,049 | In crystallography, due to the crystallographic restriction theorem, n is restricted to the values of 1, 2, 3, 4, or 6. The noncrystallographic groups are shown with grayed backgrounds. D4d and D6d are also forbidden because they contain improper rotations with n = 8 and 12 respectively. | Schönflies notation | 0.835664 |
3,050 | Compared to standard positional numeral systems, the unary system is inconvenient and hence is not used in practice for large calculations. It occurs in some decision problem descriptions in theoretical computer science (e.g. some P-complete problems), where it is used to "artificially" decrease the run-time or space r... | Unary numeral system | 0.835661 |
3,051 | The computer-assisted method is based on a suggestion by Narutaka Ozawa and has been successfully implemented by several researchers. It is based on the algebraic characterization of property (T) in terms of an inequality in the real group algebra, for which a solution may be found by solving a semidefinite programming... | Kazhdan's property (T) | 0.835658 |
3,052 | They can also be closely approximated by algebraic numbers of degree 4, If x {\displaystyle x} denotes the expression within the parenthesis (e.g. x = 3 − 2 ( 1 − 96 24 + 1 3 ⋅ 19 ) {\displaystyle x=3-{\sqrt {2\left(1-{\tfrac {96}{24}}+1{\sqrt {3\cdot 19}}\right)}}} ), it satisfies respectively the quartic equations No... | Heegner number | 0.835657 |
3,053 | : 1536 One experiment (S0069) used a 4-track magnetic tape module not as part of an EPDS. : 1540 Fifty-seven science and technology experiments — involving government and university investigators from the United States, Canada, Denmark, France, Germany, Ireland, the Netherlands, Switzerland, and the United Kingdom — fl... | Long Duration Exposure Facility | 0.835656 |
3,054 | This rapid variation meant that the energy generation must take place over a relatively small region of roughly 105 km, as the speed of light restricts communication between more distant regions. For a size comparison, the diameter of the Sun is about 1.4×106 km. In April–May 1971, Luc Braes and George K. Miley from Le... | Cygnus X-1 | 0.835654 |
3,055 | There are a variety of approaches to identifying large-scale genomic variations (such as indels, duplications, inversions, translocations) between genomes. Other categories of methods include using microarrays, pulsed-field gel electrophoresis, cytogenetics and paired-end tags. | Optical mapping | 0.835645 |
3,056 | Hypothesis-driven studies can be transformed into discovery-driven studies with the help of newly available tools and technology-driven life science research. These tools have allowed for new questions to be asked, and new paradigms to be considered, particularly in the field of biology. However, some of these required... | Discovery science | 0.835645 |
3,057 | In computational biology, protein pKa calculations are used to estimate the pKa values of amino acids as they exist within proteins. These calculations complement the pKa values reported for amino acids in their free state, and are used frequently within the fields of molecular modeling, structural bioinformatics, and ... | Protein pKa calculations | 0.83564 |
3,058 | PLC technician educational courses and programs integrate PLC programming with mechanics, electronics and process controls, They also commonly include coursework in hydraulics, pneumatics, robotics, DCS, SCADA, electrical circuits, electrical machinery and human-machine interfaces. Typical courses include math, communi... | PLC technician | 0.835636 |
3,059 | Further Mathematics is available as a second and higher mathematics course at A Level (now H2), in addition to the Mathematics course at A Level. Students can pursue this subject if they have A2 and better in 'O' Level Mathematics and Additional Mathematics, depending on the school. Some topics covered in this course i... | Higher mathematics | 0.835633 |
3,060 | Four player-designed proteins were successfully grown in E. coli and then "solved" via X-ray crystallography. The proteins were added to the Protein Data Bank as 6MRR, 6MRS, 6MSP, and 6NUK. In November 2019, an article in PLOS Biology reported how Foldit players were able to "build protein structures into crystallograp... | Foldit | 0.83563 |
3,061 | Programming languages that support nested subroutines also have a field in the call frame that points to the stack frame of the latest activation of the procedure that most closely encapsulates the callee, i.e. the immediate scope of the callee. This is called an access link or static link (as it keeps track of static ... | Call frame | 0.835624 |
3,062 | In particular, the Nanopore technology proved to be effective in detecting the presence of two nucleotide analogs in RNA: N6-methyladenosine (m6A) and 5-methylcytosine (5-mC). Using Hidden Markov Models (HMM) or recurrent neural networks (RNN) trained with known sequences, it was possible to demonstrate that the modifi... | Epitranscriptomic sequencing | 0.835623 |
3,063 | However associative algebras with identity elements can be isotopic to algebras without identity elements. The autotopy group of the octonions is the spin group Spin8, much larger than its automorphism group G2. If B is a mutation of the associative algebra A by an invertible element, then there is an isotopy from A to... | Isotopy of an algebra | 0.835622 |
3,064 | If the system then started processing tens of thousands of deposits instead, the adaptive optimizer would recompile the assembly code to optimize the new common case. This optimization may include inlining code. Examples of adaptive optimization include HotSpot and HP's Dynamo system.In some systems, notably the Java V... | Adaptive optimization | 0.835622 |
3,065 | In computer science (particularly algorithmics), a polynomial-time approximation scheme (PTAS) is a type of approximation algorithm for optimization problems (most often, NP-hard optimization problems). A PTAS is an algorithm which takes an instance of an optimization problem and a parameter ε > 0 and produces a soluti... | Efficient polynomial-time approximation scheme | 0.83561 |
3,066 | Third, recessive deleterious alleles will be "masked" by heterozygosity, and so in a dominant-recessive trait, heterozygotes will not be selected against. When recessive deleterious alleles occur in the heterozygous state, where their potentially deleterious expression is masked by the corresponding wild-type allele, t... | Inbreeding depression | 0.83561 |
3,067 | == V Curve == In power engineering & electrical engineering, V curve is the graph showing the relation of armature current as a function of field current in synchronous machines keeping the load constant. The purpose of the curve is to show the variation in the magnitude of the armature current as the excitation voltag... | V curve | 0.835602 |
3,068 | Triangle area property: The area of a triangle can be as large as we please. Three points property: Three points either lie on a line or lie on a circle. Pythagoras' theorem: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. | Triangle postulate | 0.835602 |
3,069 | Book 1 contains 5 postulates (including the infamous parallel postulate) and 5 common notions, and covers important topics of plane geometry such as the Pythagorean theorem, equality of angles and areas, parallelism, the sum of the angles in a triangle, and the construction of various geometric figures. Book 2 contains... | Euclid's Elements | 0.835593 |
3,070 | In some laboratory lasers, such as a single pass through a regeneratively amplified Ti:Sapph stage, the physics is directly analogous to an amplified ray in an astrophysical maser.Furthermore, the practical limits of the use of the m to stand for microwave in maser are variously employed. For example, when lasers were ... | Astrophysical laser | 0.835592 |
3,071 | Experimentally, it can be approached very closely but not actually reached, as recognized in the third law of thermodynamics. It would be impossible to extract energy as heat from a body at that temperature. Temperature is important in all fields of natural science, including physics, chemistry, Earth science, astronom... | Kinetic temperature | 0.835591 |
3,072 | Some of these techniques discussed by Jiang, et al. include: Support vector machines, neural networks, decision trees, and many more. Each of these techniques are described as having a “training goal” so “classifications agree with the outcomes as much as possible…”.To demonstrate some specifics for disease diagnosis/c... | IBM Watson Health | 0.835581 |
3,073 | mlpack: a collection of ready-to-use machine learning algorithms written in the C++ language. NLTK (Natural Language Toolkit): A suite of libraries and programs for symbolic and statistical natural language processing (NLP) for the Python language. OpenNN: Open neural networks library. | Data discovery | 0.835577 |
3,074 | Xenobiology is an approach to develop industrial production systems with novel capabilities by means of biopolymer engineering and pathogen resistance. The genetic code encodes in all organisms 20 canonical amino acids that are used for protein biosynthesis. In rare cases, special amino acids such as selenocysteine, py... | Xenobiology | 0.835577 |
3,075 | All matter with a temperature greater than absolute zero emits thermal radiation. Particle motion results in charge-acceleration or dipole oscillation which produces electromagnetic radiation. ThermodynamicsIs a branch of physics that deals with heat, work, and temperature, and their relation to energy, radiation, and ... | Glossary of engineering: M–Z | 0.835577 |
3,076 | Strings form a monoid with concatenation as the binary operation and ε the identity element. The Kleene star is defined for any monoid, not just strings. More precisely, let (M, ⋅) be a monoid, and S ⊆ M. Then S* is the smallest submonoid of M containing S; that is, S* contains the neutral element of M, the set S, and ... | Kleene star | 0.835577 |
3,077 | The only difficult step in implementing the Schulze method is computing the strongest path strengths. However, this is a well-known problem in graph theory sometimes called the widest path problem. One simple way to compute the strengths, therefore, is a variant of the Floyd–Warshall algorithm. The following pseudocode... | Schulze method | 0.835571 |
3,078 | By contrast, in a black box model, the explanation for the results is typically difficult to understand, for example with an artificial neural network. Possible to validate a model using statistical tests. That makes it possible to account for the reliability of the model. | Regression tree | 0.835569 |
3,079 | In some specific fields of science, the results of observation differ depending on factors that are not important in everyday observation. These are usually illustrated with apparent "paradoxes" in which an event appears different when observed from two different points of view, seeming to violate "common sense". Relat... | Observational bias | 0.835568 |
3,080 | The most important thing is that the correct, final statement of the theorem is now known. Simpler techniques can be applied that are known to be adequate for the types of groups we know to be finite simple. In contrast, those who worked on the first generation proof did not know how many sporadic groups there were, an... | Classification of finite simple groups | 0.835567 |
3,081 | These datasets are applied for machine learning (ML) research and have been cited in peer-reviewed academic journals. Datasets are an integral part of the field of machine learning. Major advances in this field can result from advances in learning algorithms (such as deep learning), computer hardware, and, less-intuiti... | Comparison of datasets in machine learning | 0.835567 |
3,082 | {\displaystyle {\frac {dy}{dt}}={\frac {h{\frac {dh}{dt}}-x{\frac {dx}{dt}}}{y}}.} d y d t = 10 × 0 − 6 × 3 y = − 18 y . {\displaystyle {\frac {dy}{dt}}={\frac {10\times 0-6\times 3}{y}}=-{\frac {18}{y}}.} Solving for y using the Pythagorean Theorem gives: x 2 + y 2 = h 2 {\displaystyle x^{2}+y^{2}=h^{2}} 6 2 + y 2 = 1... | Related rates | 0.835564 |
3,083 | rSeq rSeq is a set of tools for RNA-Seq data analysis. It consists of programs that deal with many aspects of RNA-Seq data analysis, such as read quality assessment, reference sequence generation, sequence mapping, gene and isoform expressions (RPKMs) estimation, etc. RSEM rQuant is a web service (Galaxy (computational... | List of RNA-Seq bioinformatics tools | 0.835563 |
3,084 | The Cyanobacteria: Molecular Biology, Genomics and Evolution (1st ed.). Caister Academic Press. ISBN 978-1-904455-15-8. | Thylakoid space | 0.835563 |
3,085 | The most powerful A.I. systems, like Watson (...) use techniques like deep learning as just one element in a very complicated ensemble of techniques, ranging from the statistical technique of Bayesian inference to deductive reasoning. In further reference to the idea that artistic sensitivity might be inherent in relat... | Deep Learning | 0.835559 |
3,086 | TK Solver has three ways of solving systems of equations. The "direct solver" solves a system algebraically by the principle of consecutive substitution. When multiple rules contain multiple unknowns, the program can trigger an iterative solver which uses the Newton–Raphson algorithm to successively approximate based o... | TK Solver | 0.835557 |
3,087 | Outfitted with equipment to capture images of the Sun in multiple wavelengths of visible, ultraviolet, and extreme ultraviolet light, SDO has gathered hundreds of millions of images during its tenure to help scientists learn about how our star works and how its constantly churning magnetic fields create the solar activ... | Atmospheric Imaging Assembly | 0.835556 |
3,088 | Computational thermodynamics is the use of computers to simulate thermodynamic problems specific to materials science, particularly used in the construction of phase diagrams.Several open and commercial programs exist to perform these operations. The concept of the technique is minimization of Gibbs free energy of the ... | Computational thermodynamics | 0.835556 |
3,089 | The following table compares the properties of several activation functions that are functions of one fold x from the previous layer or layers: The following table lists activation functions that are not functions of a single fold x from the previous layer or layers: ^ Here, δ i j {\displaystyle \delta _{ij}} is the Kr... | Activation function | 0.835556 |
3,090 | The problem arose again around 1654 when Chevalier de Méré posed it to Blaise Pascal. Pascal discussed the problem in his ongoing correspondence with Pierre de Fermat. Through this discussion, Pascal and Fermat not only provided a convincing, self-consistent solution to this problem, but also developed concepts that ar... | Problem of points | 0.835555 |
3,091 | By adding additional variables, y n m {\displaystyle y_{nm}} this can be converted to a single quartic equation in N(N − 1)/2 + DN variables: Therefore, to solve the case in D = 5 dimensions and N = 40 + 1 vectors would be equivalent to determining the existence of real solutions to a quartic polynomial in 1025 variabl... | Kissing number problem | 0.835554 |
3,092 | Given a set of n {\displaystyle n} numbers, the 3SUM problem asks whether there is a triplet of numbers whose sum is zero. There is an quadratic-time algorithm for 3SUM, and it has been conjectured that no algorithm can solve 3SUM in "truly sub-quadratic time": the 3SUM Conjecture is the computational hardness assumpti... | Computational hardness assumptions | 0.835552 |
3,093 | Another of his interests is the cytoskeleton and its dynamics. To study cytoskeletal dynamics, his team developed magnetic tweezers capable of exerting very small pulling forces. He has contributed to our understanding of the dynamics of single actin filaments, actin networks as well as intact living cells.His research... | Erich Sackmann | 0.835545 |
3,094 | If the potential V {\displaystyle V} is a solution to Maxwell's equations then, after this gauge transformation, the new potential V → V + C {\displaystyle V\rightarrow V+C} is also a solution to Maxwell's equations and no experiment can distinguish between these two solutions. In other words, the laws of physics gover... | Introduction to gauge theory | 0.835544 |
3,095 | Most research in the area of memory models revolves around: Designing a memory model that allows a maximal degree of freedom for compiler optimizations while still giving sufficient guarantees about race-free and (perhaps more importantly) race-containing programs. Proving program optimizations that are correct with re... | Memory model (programming) | 0.835543 |
3,096 | Quantum chemistry composite methods (also referred to as thermochemical recipes) are computational chemistry methods that aim for high accuracy by combining the results of several calculations. They combine methods with a high level of theory and a small basis set with methods that employ lower levels of theory with la... | G3 theory | 0.835543 |
3,097 | Using bioinformatics techniques, researchers are capable of faster analysis and data storage. A good place to find lists of current programs and databases is on the ExPASy bioinformatics resource portal. The applications of bioinformatics-based proteomics include medicine, disease diagnosis, biomarker identification, a... | Expression proteomics | 0.835542 |
3,098 | At MathPath, students learn about many math topics that are rarely taught in American schools, or taught in much depth, such as non-Euclidean geometry, advanced Euclidean geometry, number theory, combinatorics, induction, spherical trigonometry, mathematical origami, and the mathematics of card shuffling. They also lea... | MathPath | 0.835535 |
3,099 | One common type of approach is claiming to have solved a classical problem that has been proved to be mathematically unsolvable. Common examples of this include the following constructions in Euclidean geometry—using only a compass and straightedge: Squaring the circle: Given any circle drawing a square having the same... | Pseudomathematics | 0.835534 |
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