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85,200 | Orbital elements are the parameters required to uniquely identify a specific orbit. In celestial mechanics these elements are considered in two-body systems using a Kepler orbit. There are many different ways to mathematically describe the same orbit, but certain schemes, each consisting of a set of six parameters, are... | Orbital parameters | 0.798854 |
85,201 | Under standard assumptions, specific orbital energy ( ϵ {\displaystyle \epsilon \,} ) of elliptic orbit is negative and the orbital energy conservation equation (the Vis-viva equation) for this orbit can take the form: v 2 2 − μ r = − μ 2 a = ϵ < 0 {\displaystyle {v^{2} \over {2}}-{\mu \over {r}}=-{\mu \over {2a}}=\eps... | Reversibility of orbits | 0.798853 |
85,202 | But Dickson also noted that Wedderburn constructed his second and third proofs only after having seen Dickson's proof. She concluded that Dickson should be credited with the first correct proof.Dickson's search for a counterexample to Wedderburn's theorem led him to investigate nonassociative algebras, and in a series ... | Leonard Eugene Dickson | 0.798853 |
85,203 | The grade of "Fellow" is achieved through election by one's peers within the CSCE. There are also student chapters of the Canadian Society for Civil Engineering at many universities throughout the country including the University of Toronto, University of Waterloo, McGill University and the University of British Columb... | Canadian Society for Civil Engineering | 0.798853 |
85,204 | IUT applies algorithmic results of mono-anabelian geometry to reconstruct relevant schemes after applying arithmetic deformations to them; a key role is played by three rigidities established in Mochizuki's etale theta theory. Roughly speaking, arithmetic deformations change the multiplication of a given ring, and the ... | Inter-universal Teichmüller theory | 0.798853 |
85,205 | Using such an encoding, x 2 = n ⇒ x = n x ⇒ f x = n x ∧ Y f = x {\displaystyle x^{2}=n\Rightarrow x={\frac {n}{x}}\Rightarrow f\ x={\frac {n}{x}}\land Y\ f=x} Using the implementation of divide then, Y ( divide n ) {\displaystyle Y(\operatorname {divide} n)} represents two values in the domain of the signed numbers, ... | Deductive lambda calculus | 0.798852 |
85,206 | Physical geography is the study of Earth's systems and how they interact with one another as part of a single self-contained system. It incorporates astronomy, mathematical geography, meteorology, climatology, geology, geomorphology, biology, biogeography, pedology, and soils geography. Physical geography is distinct f... | Earth sciences | 0.798851 |
85,207 | In computer science, a maximal pair within a string is a pair of matching substrings that are maximal, where "maximal" means that it is not possible to make a longer matching pair by extending the range of both substrings to the left or right. | Maximal pair | 0.798851 |
85,208 | Marketing Development and production: PEPTOGEN (Russian Federation) Joint-Stock Company «Innovative Research-and-Production Center «Peptogen» (JSC «Peptogen»), Russian Federation was founded in 2005 with the participation of the Institute of Molecular Genetics of the Russian Academy of Sciences | Semax | 0.798851 |
85,209 | Nicos Ladommatos is a British mechanical engineer. From 2004, he was the Kennedy Professor for Mechanical Engineering and Head of Department for UCL Mechanical Engineering. In his career, he authored or co-authored over 150 peer-reviewed papers., specialising in the areas of combustion, combustion engines, fuel develop... | Nicos Ladommatos | 0.798851 |
85,210 | Despite the anomalous electron configuration for gaseous thorium atoms, metallic thorium shows significant 5f involvement. A hypothetical metallic state of thorium that had the 6d27s2 configuration with the 5f orbitals above the Fermi level should be hexagonal close packed like the group 4 elements titanium, zirconium,... | Thorium | 0.79885 |
85,211 | The geometry of the sphere was studied by the Greeks. Euclid's Elements defines the sphere in book XI, discusses various properties of the sphere in book XII, and shows how to inscribe the five regular polyhedra within a sphere in book XIII. Euclid does not include the area and volume of a sphere, only a theorem that t... | Topological sphere | 0.79885 |
85,212 | The most common case of Jung's theorem is in the plane, that is, when n = 2. In this case the theorem states that there exists a circle enclosing all points whose radius satisfies r ≤ d 3 , {\displaystyle r\leq {\frac {d}{\sqrt {3}}},} and this bound is as tight as possible since when K is an equilateral triangle (or i... | Jung's theorem | 0.79885 |
85,213 | From Gyrovector space#Triangle centers The study of triangle centers traditionally is concerned with Euclidean geometry, but triangle centers can also be studied in hyperbolic geometry. Using gyrotrigonometry, expressions for trigonometric barycentric coordinates can be calculated that have the same form for both eucli... | Coordinate systems for the hyperbolic plane | 0.798849 |
85,214 | The German word Informatik is usually translated to English as computer science by universities or computer science & engineering by technical universities (German equivalents for institutes of technology). Depending on the context, informatics is also translated into computing, scientific computing or information and ... | Informatics | 0.798849 |
85,215 | Coordinate the activities of students and young professionals in EUREL; Support the improvement of a multinational network for EUREL stakeholders; Gather and exchange scientific, technical and other relevant information among students and young professionals working in the field of electrical engineering or related fie... | EUREL | 0.798849 |
85,216 | Instead, a non-commutative algebra requires a multiplicity of shadow manifolds. These shadow manifolds can be constructed from the algebra by means of projections into subspaces; however, the projections inevitably lead to distortions, in similar manner as Mercator projections inevitably result in distortions in geogra... | Basil Hiley | 0.798849 |
85,217 | L = L , {\displaystyle \operatorname {\mathcal {L}} \left=\operatorname {\mathcal {L}} \left\,,} F ( s ) = s 2 V ( s ) − s v 0 − v 0 ′ + ω 0 2 V ( s ) . {\displaystyle F(s)=s^{2}\ V(s)-s\ v_{0}-v'_{0}+\omega _{0}^{2}\ V(s)\;.} The Laplace transform has turned our differential equation into an algebraic equation. | Resonant circuit | 0.798848 |
85,218 | In particular, definite integrals of algebraic functions, known as periods, can be transcendental numbers. The difficulty of the Hodge conjecture reflects the lack of understanding of such integrals in general. Example: For a smooth complex projective K3 surface X, the group H2(X, Z) is isomorphic to Z22, and H1,1(X) i... | Hodge decomposition | 0.798848 |
85,219 | Daniel Jay Shanefield (April 29, 1930 – November 13, 2013) was a United States ceramic engineer. Shanefield was born in Orange, New Jersey, and earned a bachelor's degree in chemistry from Rutgers University in 1956; he went on to graduate studies at the same university, receiving his Ph.D. in physical chemistry from R... | Daniel J. Shanefield | 0.798847 |
85,220 | Ellenberg, Jordan (May 23, 2021). "What Honest Abe Learned from Geometry". Wall Street Journal. Retrieved May 26, 2021. Ellenberg's essay is adapted from his 2021 book, Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else, Penguin. | Jordan Ellenberg | 0.798847 |
85,221 | Researchers believe that quantum teleportation is the foundation of quantum calculation and quantum communication.In 2008, M. Hotta proposed that it may be possible to teleport energy by exploiting quantum energy fluctuations of an entangled vacuum state of a quantum field. There are some papers published but no experi... | Teleportation | 0.798847 |
85,222 | Acuitas Therapeutics Inc. is a Canadian biotechnology company based in Vancouver, British Columbia. The company was established in February 2009 to specialize in the development of delivery systems for nucleic acid therapeutics based on lipid nanoparticle (LNP) technology, a key component of the mRNA vaccines deployed ... | Acuitas Therapeutics | 0.798846 |
85,223 | In this case, the factorization can be done with root-finding algorithms. The case of polynomials with integer coefficients is fundamental for computer algebra. There are efficient computer algorithms for computing (complete) factorizations within the ring of polynomials with rational number coefficients (see factoriza... | Factorization | 0.798846 |
85,224 | Transformations of Lamarckism: from subtle fluids to molecular biology. Cambridge, Mass. : MIT Press. | Jan Sapp | 0.798846 |
85,225 | In 1927, in the same year as Zhegalkin's paper, the American mathematician Eric Temple Bell published a sophisticated arithmetization of Boolean algebra based on Richard Dedekind's ideal theory and general modular arithmetic (as opposed to arithmetic mod 2). The much simpler arithmetic character of Zhegalkin polynomial... | Boolean polynomial | 0.798845 |
85,226 | In mathematics, the adele ring of a global field (also adelic ring, ring of adeles or ring of adèles) is a central object of class field theory, a branch of algebraic number theory. It is the restricted product of all the completions of the global field and is an example of a self-dual topological ring. An adele derive... | Valuation vector | 0.798845 |
85,227 | Cowley, A. H.; Kemp, R. A.; Lasch, J. G.; Norman, N. C.; Stewart, C. A.; Whittlesey, B. R.; Wright, T. C. (1986-03-01). "Reactivity of phosphenium ions toward 1,3- and 1,4-dienes". Inorganic Chemistry. | Phosphenium | 0.798845 |
85,228 | That request, for a roll-on/roll-off kit that integrates all functions of mission command on the Army Network, was posted at the National Spectrum Consortium and FedBizOpps, and yielded awards within eight months. Two more awards are forthcoming. The Rapid Capabilities Office (RCO)'s Emerging Technologies Office struct... | Integrated Tactical Network | 0.798845 |
85,229 | With the vast expansion of scientific knowledge in this century, however, it has become clear that human populations are not unambiguous, clearly demarcated, biologically distinct groups. Evidence from the analysis of genetics (e.g., DNA) indicates that most physical variation, about 94%, lies within so-called racial g... | Racial classification | 0.798844 |
85,230 | The TAC reviews several categories of observing time, as well as proposals for archival, theoretical, and combined research projects between HST and other space-based or ground-based observatories (e.g., Chandra X-ray Observatory and the National Optical Astronomy Observatories). STScI provides all technical and logist... | Hubble Fellowships | 0.798844 |
85,231 | Scan angle is the optical angle that a set of scanners normally achieves at a given rate of points per second. The wider the angle, the larger the area the scan covers—but the more difficult it is for the scanner accurately track its movement due to physical limitations of the scanner mechanism. For example, a 20 degre... | Laser projector | 0.798844 |
85,232 | In chemistry an eclipsed conformation is a conformation in which two substituents X and Y on adjacent atoms A, B are in closest proximity, implying that the torsion angle X–A–B–Y is 0°. Such a conformation can exist in any open chain, single chemical bond connecting two sp3-hybridised atoms, and it is normally a confor... | Eclipsed conformation | 0.798843 |
85,233 | SNOLAB is a Canadian underground science laboratory specializing in neutrino and dark matter physics. Located 2 km below the surface in Vale's Creighton nickel mine near Sudbury, Ontario, SNOLAB is an expansion of the existing facilities constructed for the original Sudbury Neutrino Observatory (SNO) solar neutrino exp... | SNOLAB | 0.798843 |
85,234 | Maria Spiropulu received her bachelor's degree in physics from the Aristotle University of Thessaloniki in 1993, and obtained her PhD with the CDF experiment from Harvard University in 2000. For her doctoral thesis, she applied for the first time in hadron colliders a novel double blind analysis method to search for ev... | Maria Spiropulu | 0.798842 |
85,235 | Motivated by problems in algebraic topology, Jean Leray introduced the notion of a sheaf and found himself faced with the problem of computing sheaf cohomology. To compute sheaf cohomology, Leray introduced a computational technique now known as the Leray spectral sequence. This gave a relation between cohomology group... | Spectral sequence | 0.798842 |
85,236 | Artificial intelligence algorithms have shown promising results in accurately diagnosing and risk stratifying patients with concern for coronary artery disease, showing potential as an initial triage tool, though few studies have directly compared the accuracy of machine learning models to clinician diagnostic ability.... | Artificial intelligence in healthcare | 0.798842 |
85,237 | Some of these lepton colliders are still running. Hadrons are compound objects, which lead to more complicated collision events and limit the achievable precision of physics measurements. | Compact Linear Collider | 0.798842 |
85,238 | Ostensibly a work of formal mathematics and philosophy, LoF became something of a cult classic: it was praised by Heinz von Foerster when he reviewed it for the Whole Earth Catalog. Those who agree point to LoF as embodying an enigmatic "mathematics of consciousness", its algebraic symbolism capturing an (perhaps even ... | Laws of Form | 0.798842 |
85,239 | c. 500 – Aryabhata discovers the oblique motion of the apsidial precession of the Sun and notes that it is changing with respect to the motion of stars and Earth. He also puts forward a theory of cosmic pluralism and multiverse theory in which there are thousands of universes apart from own and each one has its own uni... | Timeline of Solar System astronomy | 0.798841 |
85,240 | The Poincaré group contracts to the Galilean group for low-velocity kinematics, meaning that when all velocities are small the Poincaré group "morphs" into the Galilean group. (This can be made precise with İnönü and Wigner's concept of group contraction.) Similarly, the de Sitter group contracts to the Poincaré group ... | De Sitter relativity | 0.798841 |
85,241 | Launched in 2007, PAIX the first robotic multi-color Antarctica Photometer gives a new insight to cope with unresolved stellar enigma and stellar oscillation challenges and offers a great opportunity to benefit from an access to the best astronomical site on Earth –Dome C–. Indeed, Chadid, Vernin, Preston et al. implem... | Concordia Station | 0.798841 |
85,242 | v. Kalo Inoculant Co.) even, when isolated from their natural environment (e.g. a protein-encoding gene from a chromosome), but things (even alive) "made by man" may be (Diamond v. Chakrabarty, Association for Molecular Pathology v. Myriad Genetics, Inc.), provided that they are different in a useful manner from their ... | Patent eligibility | 0.798841 |
85,243 | In molecular biology, glycoside hydrolase family 48 is a family of glycoside hydrolases. Glycoside hydrolases EC 3.2.1. are a widespread group of enzymes that hydrolyse the glycosidic bond between two or more carbohydrates, or between a carbohydrate and a non-carbohydrate moiety. A classification system for glycoside h... | Glycoside hydrolase family 48 | 0.798841 |
85,244 | Mathematicians have always practiced experimental mathematics. Existing records of early mathematics, such as Babylonian mathematics, typically consist of lists of numerical examples illustrating algebraic identities. However, modern mathematics, beginning in the 17th century, developed a tradition of publishing result... | Minimum Sudoku problem | 0.798841 |
85,245 | In 1970, he was awarded a fellowship to the college.His main area of research is combinatorics, particularly graph theory. His chief interests are in extremal graph theory and random graph theory. In 1996 he resigned his university post, but remained a Fellow of Trinity College, Cambridge. | Béla Bollobás | 0.798841 |
85,246 | Posidonius was one of the first to attempt to prove Euclid's fifth postulate of geometry. He suggested changing the definition of parallel straight lines to an equivalent statement that would allow him to prove the fifth postulate. From there, Euclidean geometry could be restructured, placing the fifth postulate among ... | Posidonius' arc measurement | 0.798841 |
85,247 | Unlike the free edition of the software, the commercial edition, DaVinci Resolve Studio, supports resolutions greater than ultra-high-definition and frame-rates over 60 FPS. It also includes support for multiple GPUs, additional OpenFX plug-ins such as Face Tracking and Lens Flare, stereoscopic grading, video noise red... | DaVinci Resolve | 0.79884 |
85,248 | Systems pharmacology is the application of systems biology principles to the field of pharmacology. It seeks to understand how drugs affect the human body as a single complex biological system. Instead of considering the effect of a drug to be the result of one specific drug-protein interaction, systems pharmacology co... | Systems pharmacology | 0.79884 |
85,249 | In molecular biology, the apolipophorin III family of proteins are a family of exchangeable apolipoproteins. Exchangeable apolipoproteins constitute a functionally important family of proteins that play critical roles in lipid transport and lipoprotein metabolism. Apolipophorin III (apoLp-III) is a prototypical exchang... | Apolipophorin III | 0.79884 |
85,250 | In molecular biology, U81 (also sometimes called Z23 snoRNA) is a member of the C/D class of snoRNA which contain the C (UGAUGA) and D (CUGA) box motifs. U81 acts as a guanine methylation guide and is found in intron 11 of the gas5 gene in mammals. | Small nucleolar RNA SNORD81 | 0.79884 |
85,251 | Proteins of the SSS vary in size from about 400 residues to about 700 residues and probably possess thirteen to fifteen putative transmembrane helical spanners (TMSs). They generally share a core of 13 TMSs, but different members of the family have different numbers of TMSs. A 13 TMS topology with a periplasmic N-termi... | Sodium-motive force | 0.79884 |
85,252 | Definition. A function f: A K → C {\displaystyle f:\mathbb {A} _{K}\to \mathbb {C} } is called simple if f = ∏ v f v , {\displaystyle \textstyle f=\prod _{v}f_{v},} where f v: K v → C {\displaystyle f_{v}:K_{v}\to \mathbb {C} } are measurable and f v = 1 O v {\displaystyle f_{v}=\mathbf {1} _{O_{v}}} for almost all v .... | Valuation vector | 0.79884 |
85,253 | Those who dislike Leibniz's notation may prefer to write this as 1 h ( y ) d y d x = g ( x ) , {\displaystyle {\frac {1}{h(y)}}{\frac {dy}{dx}}=g(x),} but that fails to make it quite as obvious why this is called "separation of variables". Integrating both sides of the equation with respect to x {\displaystyle x} , we ... | Separable differential equation | 0.798839 |
85,254 | Let A be an integral domain with the field of fractions K and A' the integral closure of A in an algebraic field extension L of K. Then the field of fractions of A' is L. In particular, A' is an integrally closed domain. | Integral over | 0.798839 |
85,255 | He introduced the concept of nearness of pairs of sets at the ICM in Rome in 1908. This concept is useful in simplifying teaching calculus and advanced calculus. For example, the passage from an intuitive definition of continuity of a function at a point to its rigorous epsilon-delta definition is sometime difficult fo... | Near sets | 0.798839 |
85,256 | While lipid tails primarily modulate bilayer phase behavior, it is the headgroup that determines the bilayer surface chemistry. Most natural bilayers are composed primarily of phospholipids, but sphingolipids and sterols such as cholesterol are also important components. Of the phospholipids, the most common headgroup ... | Phospholipid membrane | 0.798838 |
85,257 | Professor, adjunct fellow at Carnegie Mellon University Cyber Security and Privacy Institute, Visual Intelligence Studio (visual information processing, cognitive video, machine learning, deep learning). Research professor, George Mason University Command Control Communications Computing Intelligence and Cyber Center (... | Hideto Tomabechi | 0.798838 |
85,258 | EPR/ESR spectroscopy is used in various branches of science, such as biology, chemistry and physics, for the detection and identification of free radicals in the solid, liquid, or gaseous state, and in paramagnetic centers such as F-centers. | Electron paramagnetic resonance spectroscopy | 0.798838 |
85,259 | Littlewood stated the principles in his 1944 Lectures on the Theory of Functions as: There are three principles, roughly expressible in the following terms: Every (measurable) set is nearly a finite sum of intervals; every function (of class Lp) is nearly continuous; every convergent sequence of functions is nearly uni... | Littlewood's three principles of real analysis | 0.798837 |
85,260 | In cryptography, an SP-network, or substitution–permutation network (SPN), is a series of linked mathematical operations used in block cipher algorithms such as AES (Rijndael), 3-Way, Kalyna, Kuznyechik, PRESENT, SAFER, SHARK, and Square. Such a network takes a block of the plaintext and the key as inputs, and applies ... | Substitution–permutation network | 0.798837 |
85,261 | Gauss's treatment was algebraic rather than geometric; in fact, he did not actually construct the polygon, but rather showed that the cosine of a central angle was a constructible number. The argument was generalized in his 1801 book Disquisitiones Arithmeticae giving the sufficient condition for the construction of a ... | Euclidean number | 0.798837 |
85,262 | : 51 In Hardy's words, "Exposition, criticism, appreciation, is work for second-rate minds. It is a melancholy experience for a professional mathematician to find himself writing about mathematics. The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about wh... | A Mathematician's Apology | 0.798837 |
85,263 | Newly acquired declarative memory traces are believed to be reactivated during NonREM sleep to promote their hippocampo-neocortical transfer for long-term storage. Specifically, new declarative memories are better remembered if recall follows Stage II non-rapid eye movement sleep. The reactivation of memories during sl... | Long-term memory | 0.798837 |
85,264 | Donald Knuth generalized the 91 function to include additional parameters. John Cowles developed a formal proof that Knuth's generalized function was total, using the ACL2 theorem prover. | McCarthy 91 function | 0.798836 |
85,265 | In one approach to M-theory phenomenology, theorists assume that the seven extra dimensions of M-theory are shaped like a G2 manifold. This is a special kind of seven-dimensional shape constructed by mathematician Dominic Joyce of the University of Oxford. These G2 manifolds are still poorly understood mathematically, ... | BFSS conjecture | 0.798836 |
85,266 | Understanding the genetic basis of neural connectivity can enhance our understanding of brain development, neural plasticity, and the mechanisms underlying various neurological disorders. The human genome project initially faced many of the above criticisms, but was nevertheless completed ahead of schedule and has led ... | Connectomics | 0.798836 |
85,267 | all-cis-8,11,14,17-eicosatetraenoic acid is an ω-3 fatty acid. It is an intermediate between stearidonic acid (18:4 ω-3) and eicosapentaenoic acid (EPA, 20:5 ω-3)Some chemistry sources define 'arachadonic acid' to designate any of the eicosatetraenoic acids. However, almost all writings in biology, medicine and nutriti... | Eicosatetraenoic acid | 0.798835 |
85,268 | Organogermanium chemistry is the science of chemical species containing one or more C–Ge bonds. Germanium shares group 14 in the periodic table with carbon, silicon, tin and lead. Historically, organogermanes are considered as nucleophiles and the reactivity of them is between that of organosilicon and organotin compou... | Organogermanium chemistry | 0.798835 |
85,269 | This approximation to the nuclear motion problem, described in 3N mass-weighted Cartesian coordinates, became standard in quantum chemistry, since the days (1980s-1990s) that algorithms for accurate computations of the Hessian F became available. Apart from the harmonic approximation, it has as a further deficiency tha... | Electronic Hamiltonian | 0.798835 |
85,270 | Algebraic varieties differ widely in how many birational automorphisms they have. Every variety of general type is extremely rigid, in the sense that its birational automorphism group is finite. At the other extreme, the birational automorphism group of projective space P n {\displaystyle \mathbb {P} ^{n}} over a field... | Birational classification | 0.798835 |
85,271 | The Helmholtz Nano Facility (HNF) is a facility with a large (1,100 m2) ISO 1–3 classified clean room. The HNF is a central technology platform for the production of nanostructures and circuits within the Helmholtz Association. Work at the HNF focuses on green microchips/computing, quantum computing, neuromorphic compu... | Forschungszentrum Jülich | 0.798834 |
85,272 | In order to support conservation, access, interpretation and management, heritage science must be based on an interdisciplinary palette of knowledge, from fundamental sciences (chemistry, physics, mathematics, biology) to arts and humanities (conservation, archaeology, philosophy, ethics, history, art history etc.), in... | Heritage science | 0.798834 |
85,273 | • For breakthrough research on proton-coupled electron transfer (PCET) reactions and enzymatic processes that have provided new strategies for designing light-harvesting assemblies for solar energy conversion. • For studies using PCET of the excited state properties of inorganic complexes with implications for artifici... | Willard Gibbs Award | 0.798834 |
85,274 | Δ represents: a finite difference a difference operator a symmetric difference the Laplace operator giving heat in a chemical reaction the angle that subtends the arc of a circular curve in surveying the maximum degree of any vertex in a given graph sensitivity to price in mathematical finance the discriminant of a pol... | Greek letters used in mathematics, science, and engineering | 0.798834 |
85,275 | These same problems occur in agriculture with pesticide and herbicide resistance. It is possible that we are facing the end of the effective life of most of available antibiotics and predicting the evolution and evolvability of our pathogens and devising strategies to slow or circumvent it is requiring deeper knowledge... | Descent with modification | 0.798834 |
85,276 | The following is excerpted from an article on the topic of integrating animals into a biointensive system from the “Frequently Asked Questions” page on Ecology Action's website: Livestock can fit into a system, but it usually takes a larger area . Normally it takes about 40,000 sq ft of grazing land for 1 cow/steer (f... | Biointensive agriculture | 0.798834 |
85,277 | The studies by Williamson, Walsh, and Hunter appear to have influenced the thinking of Luigi Galvani and Alessandro Volta – the founders of electrophysiology and electrochemistry. | History of bioelectricity | 0.798834 |
85,278 | \cdot \operatorname {curl} \mathbf {G} ,} or ∇ ⋅ ( F × G ) = ( ∇ × F ) ⋅ G − F ⋅ ( ∇ × G ) . | Divergence | 0.798833 |
85,279 | In abstract algebra, one uses homology to define derived functors, for example the Tor functors. Here one starts with some covariant additive functor F and some module X. The chain complex for X is defined as follows: first find a free module F 1 {\displaystyle F_{1}} and a surjective homomorphism p 1: F 1 → X . {\disp... | Homology theory | 0.798833 |
85,280 | Flow-induced vibrations in Gas-tube assembly of centrifuges. Journal of Nuclear Science and Technology, 23(9) (September 1986), pp. 819–827. Dimensional anisotropy in 18% of maraging steel, Seven National Symposium on Frontiers in Physics, written with Anwar-ul-Haq, Mohammad Farooq, S. Qaisar, published at the Pakistan... | Abdul Qadeer Khan | 0.798833 |
85,281 | In assessing the study methodology, an editorial in Global Change Biology stated, "An unbiased review of the literature would still find declines, but estimates based on this 'unidirectional' methodology are not credible. However, according to the authors of that review "more than half of the surveys were obtained from... | Insect biodiversity | 0.798833 |
85,282 | According to the Abel–Ruffini theorem there is no general, explicit and exact algebraic formula for the roots of a polynomial with degree 5 or more. (Generality matters because any polynomial with degree n {\displaystyle n} is the characteristic polynomial of some companion matrix of order n {\displaystyle n} .) Theref... | Geometric multiplicity | 0.798832 |
85,283 | An extension F ⊆ K of differential fields is called Liouvillian if all constants are in F, and K can be generated by adjoining a finite number of integrals, exponential of integrals, and algebraic functions. Here, an integral of an element a is defined to be any solution of y′ = a, and an exponential of an integral of ... | Picard–Vessiot theory | 0.798832 |
85,284 | Nalanda, being the biggest centre, handled all branches of knowledge, and housed up to 10,000 students at its peak.Mahavihara, another important center of Buddhist learning in India, was established by King Dharmapala (783 to 820) in response to a supposed decline in the quality of scholarship at Nālandā.Major work in ... | History of education | 0.798832 |
85,285 | Additionally, the juxtaposition of the rights afforded to Saudi women against the Saudi consideration of a robot to be a citizen will soon attract criticism from several news providers (25 October 2017, Riyadh, Saudi Arabia). 2017: The European Parliament passed a resolution addressed to the European Commission concern... | Robot ethics | 0.798832 |
85,286 | In some cases, the carbonyl starting material can be sufficiently sterically biased so a single stereoisomer is observed. However, in other cases, there is no selectivity at all, resulting in a 1:1 ratio of stereoisomers. An example taken from "Name Reactions: Heterocyclic Chemistry" by Jie Jack Li shows a case of ster... | Bucherer–Bergs reaction | 0.798832 |
85,287 | Retrieved 2013-01-28. Farabee, M. J. The Online Biology Book. Avondale, Arizona: Estrella Mountain Community College. | Bibliography of ecology | 0.798831 |
85,288 | The number of representations of a natural number n as the sum of four squares is denoted by r4(n). Jacobi's four-square theorem states that this is eight times the sum of the divisors of n if n is odd and 24 times the sum of the odd divisors of n if n is even (see divisor function), i.e. Equivalently, it is eight time... | Lagrange's four-square theorem | 0.798831 |
85,289 | It comes with many predefined styles, but installing a new style can be somewhat complicated.The developer of Scientific WorkPlace, MacKichan Software, Inc., announced on June 30, 2021 that it had ceased business and would no longer sell licenses to its software. Existing licenses would remain valid, but new installs w... | Scientific WorkPlace | 0.798831 |
85,290 | Georges Armand Deschamps (October 18, 1911 — June 20, 1998) was a French American engineer and Professor Emeritus at the Department of Electrical Engineering at University of Illinois at Urbana-Champaign. He is best known for his contributions to electromagnetic theory, microwave engineering and antenna theory. He is a... | Georges A. Deschamps | 0.798831 |
85,291 | Practical significance of magnetobiology is conditioned by the growing level of the background electromagnetic exposure of people. Some electromagnetic fields at chronic exposures may pose a threat to human health. World Health Organization considers enhanced level of electromagnetic exposure at working places as a str... | Magnetobiology | 0.798831 |
85,292 | Consider Laue–Weyl's round-trip condition: The time needed by a light beam to traverse a closed path of length L is L/c, where L is the length of the path and c is a constant independent of the path.A theorem (whose origin can be traced back to von Laue and Hermann Weyl) states that Laue–Weyl's round trip condition hol... | Einstein protocol | 0.79883 |
85,293 | Compliant structures are often created as an alternative to similar mechanisms that use multiple parts. There are two main advantages for using compliant mechanisms: Low cost: A compliant mechanism can usually be fabricated into a single structure, which is a dramatic simplification in the number of required parts. A s... | Flexible drive | 0.79883 |
85,294 | An incidence structure C = ( P , L , I ) {\displaystyle C=(P,L,I)} consists of points P {\displaystyle P} , lines L {\displaystyle L} , and flags I ⊆ P × L {\displaystyle I\subseteq P\times L} where a point p {\displaystyle p} is said to be incident with a line l {\displaystyle l} if ( p , l ) ∈ I {\displaystyle (p,l)\... | Partial geometry | 0.79883 |
85,295 | Lactacystin is an organic compound naturally synthesized by bacteria of the genus Streptomyces first identified as an inducer of neuritogenesis in neuroblastoma cells in 1991. The target of lactacystin was subsequently found to be the proteasome on the basis of its affinity for certain catalytic subunits of the proteas... | Lactacystin | 0.798829 |
85,296 | In mathematical terms, a vector optimization problem can be written as: C - min x ∈ S f ( x ) {\displaystyle C\operatorname {-} \min _{x\in S}f(x)} where f: X → Z {\displaystyle f:X\to Z} for a partially ordered vector space Z {\displaystyle Z} . The partial ordering is induced by a cone C ⊆ Z {\displaystyle C\subset... | Vector optimization | 0.798829 |
85,297 | In mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting on an inner product space is called positive-semidefinite (or non-negative) if, for every x ∈ Dom ( A ) {\displaystyle x\in \mathop {\text{Dom}} (A)} , ⟨ A x , x ⟩ ∈ ... | Positive operator | 0.798829 |
85,298 | In cryptography, New Data Seal (NDS) is a block cipher that was designed at IBM in 1975, based on the Lucifer algorithm that became DES. The cipher uses a block size of 128 bits, and a very large key size of 2048 bits. Like DES it has a 16-round Feistel network structure. The round function uses two fixed 4×4-bit S-box... | New Data Seal | 0.798829 |
85,299 | In astronomy, metallicity is the abundance of elements present in an object that are heavier than hydrogen and helium. Most of the normal currently detectable (i.e. non-dark) matter in the universe is either hydrogen or helium, and astronomers use the word "metals" as a convenient short term for "all elements except hy... | Normal star | 0.798829 |
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