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86,800 | A weak form of the theorem was proven by Ascoli (1883–1884), who established the sufficient condition for compactness, and by Arzelà (1895), who established the necessary condition and gave the first clear presentation of the result. A further generalization of the theorem was proven by Fréchet (1906), to sets of real-... | Arzelà–Ascoli theorem | 0.782349 |
86,801 | The Arzela-Ascoli theorem generalises to functions X → Y {\displaystyle X\rightarrow Y} where X {\displaystyle X} is not compact. Particularly important are cases where X {\displaystyle X} is a topological vector space. Recall that if X {\displaystyle X} is a topological space and Y {\displaystyle Y} is a uniform space... | Arzelà–Ascoli theorem | 0.782349 |
86,802 | Solutions of numerical schemes for parabolic equations are usually piecewise constant, and therefore not continuous, in time. As their jumps nevertheless tend to become small as the time step goes to 0 {\displaystyle 0} , it is possible to establish uniform-in-time convergence properties using a generalisation to non-c... | Arzelà–Ascoli theorem | 0.782349 |
86,803 | so that the second beth number ℶ 1 {\displaystyle \beth _{1}} is equal to c {\displaystyle {\mathfrak {c}}} , the cardinality of the continuum (the cardinality of the set of the real numbers), and the third beth number ℶ 2 {\displaystyle \beth _{2}} is the cardinality of the power set of the continuum. Because of Canto... | Beth number | 0.782349 |
86,804 | Sulcus (PL: sulci ) is, in astrogeology, an area of complex parallel or subparallel ridges and furrows on a planet or moon.For example, Uruk Sulcus is a bright region of grooved terrain adjacent to Galileo Regio on Jupiter's moon Ganymede. == References == | Sulcus (geology) | 0.782346 |
86,805 | As of their discovery each was the largest known probable prime. On March 22, 2022 probable prime R49081 was eventually proven to be a prime. On May 15, 2023 probable prime R86453 was eventually proven to be a prime.It has been conjectured that there are infinitely many repunit primes and they seem to occur roughly as ... | Repunit prime | 0.782345 |
86,806 | The 81 cm Saclay Bubble Chamber was a liquid hydrogen bubble chamber built at Saclay, in collaboration with the École Polytechnique (Orsay), to study particle physics. The team led by Bernard Gregory completed the construction of the chamber in 1960 and later it was moved to CERN and installed at the Proton Synchrotron... | 81 cm Saclay Bubble Chamber | 0.782342 |
86,807 | The Stretched Rohini Satellite Series (SROSS) are a series of satellites developed by the Indian Space Research Organisation as follow ons to the Rohini Satellites for conducting astrophysics, Earth Remote Sensing, and upper atmospheric monitoring experiments as well as for new and novel application-oriented missions. ... | Stretched Rohini Satellite Series | 0.782341 |
86,808 | The Bureau of Aircraft Accidents Archives (B3A), formerly known as the Aircraft Crashes Record Office (ACRO), a non-government organization based in Geneva, Switzerland, compiles statistics on aviation accidents of aircraft capable of carrying more than six passengers, excluding helicopters, balloons, and combat aircra... | Aviation accident | 0.782341 |
86,809 | Control of the current, cooling water, and electrode gap is essential to effective control of the process and production of defect-free material. Ideally, the melt rate stays constant throughout the process cycle, but monitoring and control of the vacuum arc remelting process is not simple. This is because there is a c... | Vacuum arc remelting | 0.782338 |
86,810 | In both cases the singularities are avoided by adding an extra parameter, i.e. to use n-vector (three parameters) to represent horizontal position and a unit quaternion (four parameters) to represent orientation. n-vector is a one-to-one representation, meaning that any surface position corresponds to one unique n-vect... | Ellipsoidal normal vector | 0.782335 |
86,811 | The major distinguishing feature of a SDD is the transversal field generated by a series of ring electrodes that causes charge carriers to 'drift' to a small collection electrode. The 'drift' concept of the SDD (which was imported from particle physics) allows significantly higher count rates coupled with a very low ca... | Silicon Drift Detector | 0.782334 |
86,812 | Pesticide application refers to the practical way in which pesticides (including herbicides, fungicides, insecticides, or nematode control agents) are delivered to their biological targets (e.g. pest organism, crop or other plant). Public concern about the use of pesticides has highlighted the need to make this process... | Pesticide application | 0.782334 |
86,813 | In general, behavioral neuroscientists study similar themes and issues as academic psychologists, though limited by the need to use nonhuman animals. As a result, the bulk of literature in behavioral neuroscience deals with mental processes and behaviors that are shared across different animal models such as: Sensation... | Behavioral neuroscience | 0.782333 |
86,814 | Nobel Laureates The following Nobel Prize winners could reasonably be considered behavioral neuroscientists or neurobiologists. (This list omits winners who were almost exclusively neuroanatomists or neurophysiologists; i.e., those that did not measure behavioral or neurobiological variables.) Kavli Prize in Neuroscien... | Behavioral neuroscience | 0.782333 |
86,815 | Potassium pyrosulfate is used in analytical chemistry; samples are fused with potassium pyrosulfate, (or a mixture of potassium pyrosulfate and potassium fluoride) to ensure complete dissolution prior to a quantitative analysis.The compound is also present in a catalyst in conjunction with vanadium(V) oxide in the indu... | Potassium pyrosulfate | 0.782333 |
86,816 | The term "psychobiology" was first used in its modern sense by Knight Dunlap in his book An Outline of Psychobiology (1914). Dunlap also was the founder and editor-in-chief of the journal Psychobiology. In the announcement of that journal, Dunlap writes that the journal will publish research "...bearing on the intercon... | Behavioral neuroscience | 0.782333 |
86,817 | The term "psychobiology" has been used in a variety of contexts, emphasizing the importance of biology, which is the discipline that studies organic, neural and cellular modifications in behavior, plasticity in neuroscience, and biological diseases in all aspects, in addition, biology focuses and analyzes behavior and ... | Behavioral neuroscience | 0.782333 |
86,818 | The mind-body problem was a stepping stone toward attempting to understand the connection between the mind and body. Another debate arose about localization of function or functional specialization versus equipotentiality which played a significant role in the development in behavioral neuroscience. As a result of loca... | Behavioral neuroscience | 0.782333 |
86,819 | The influential work of Claude Bernard, Charles Bell, and William Harvey helped to convince the scientific community that reliable data could be obtained from living subjects. Even before the 18th and 19th centuries, behavioral neuroscience was beginning to take form as far back as 1700 B.C. The question that seems to ... | Behavioral neuroscience | 0.782333 |
86,820 | One of the earliest textbooks in the new field, The Principles of Psychology by William James, argues that the scientific study of psychology should be grounded in an understanding of biology. The emergence of psychology and behavioral neuroscience as legitimate sciences can be traced from the emergence of physiology f... | Behavioral neuroscience | 0.782333 |
86,821 | Behavioral neuroscience as a scientific discipline emerged from a variety of scientific and philosophical traditions in the 18th and 19th centuries. René Descartes proposed physical models to explain animal as well as human behavior. Descartes suggested that the pineal gland, a midline unpaired structure in the brain o... | Behavioral neuroscience | 0.782333 |
86,822 | The distinguishing characteristic of a behavioral neuroscience experiment is that either the independent variable of the experiment is biological, or some dependent variable is biological. In other words, the nervous system of the organism under study is permanently or temporarily altered, or some aspect of the nervous... | Behavioral neuroscience | 0.782333 |
86,823 | The Turkish Journal of Biology is a peer-reviewed scientific journal covering all aspects of biology. It was established in 1977 as Doğa: Turkish Journal of Biology before obtaining its current name in 1994. Since 2001, the journal is published in English, earlier it also contained articles in Turkish. | Turkish Journal of Biology | 0.782333 |
86,824 | In materials science, bulk density, also called apparent density or volumetric density, is a property of powders, granules, and other "divided" solids, especially used in reference to mineral components (soil, gravel), chemical substances, pharmaceutical ingredients, foodstuff, or any other masses of corpuscular or par... | Bulk density | 0.782331 |
86,825 | The Pyramid projection is a variation of the cubemap using a pyramid geometry. The video is rendered in multiple viewports (in Facebook's case 30) where the base of the pyramid contains the full resolution and is right in front of the viewer, while the sides are rendered with a gradually decreasing resolution. It was d... | Spherical image projection | 0.78233 |
86,826 | The Guinness Book of Astronomy is a book (ISBN 0-85112-375-9) by the British astronomer Patrick Moore, first published in 1979, and running to seven editions.The first part of the book is written like a Guinness Book of Records, with paragraphs like "the most luminous star", "the farthest star", and so on. Solar System... | Guinness Book of Astronomy | 0.78233 |
86,827 | For example, when producing a 6×4-inch (15×10-cm) print using 35 format (36×24 mm) film or sensor, a life-size result is possible with a lens having only a 1:4 reproduction ratio.Reproduction ratios much greater than 10:1 are considered to be photomicrography, often achieved with digital microscope (photomicrography sh... | Reversing ring | 0.782329 |
86,828 | It is possible to manufacture a complicated 3D shape from in-situ bonded AFS. In case of the second type, i.e. integral foam moulding, the desired geometry of the foamed part is achieved by designing the mould inside which the foam is cast.In the case of the third type the three-layer composite precursor is reshaped pr... | Aluminium foam sandwich | 0.782324 |
86,829 | Aerodynamics Applied Mechanics Automation, Mechatronics and Robotics Automobile Engineering CAD/CAM/CIM CFD Computational Techniques Composite and Smart Materials Energy Engineering and Management Fatigue and Fracture Fluid Mechanics and Machinery Fuels and Combustion Heat and Mass Transfer IC Engines Industrial Engine... | International Conference on Mechanical Industrial & Energy Engineering | 0.782324 |
86,830 | The Faculty of Mechanical Engineering, Khulna University of Engineering & Technology organizes International Conference on Mechanical, Industrial and Energy Engineering (ICMIEE). It brings great opportunities for both researchers and industrial communities to meet, discuss and share their research outcomes. This helps ... | International Conference on Mechanical Industrial & Energy Engineering | 0.782324 |
86,831 | One criticism of the standard was that it was biased toward the Waterfall Model. Although the document states "the contractor is responsible for selecting software development methods (for example, rapid prototyping)", it also required "formal reviews and audits" that seemed to lock the vendor into designing and docume... | DOD-STD-2167A | 0.782322 |
86,832 | Other scientists such as Washington State University biologist Kenneth V. Kardong and toxicologists Scott A. Weinstein and Tamara L. Smith, have stated that the allegation of venom glands found in many of these animals "has had the effect of underestimating the variety of complex roles played by oral secretions in the ... | Toxicofera | 0.78232 |
86,833 | Heegaard splittings appeared in the theory of minimal surfaces first in the work of Blaine Lawson who proved that embedded minimal surfaces in compact manifolds of positive sectional curvature are Heegaard splittings. This result was extended by William Meeks to flat manifolds, except he proves that an embedded minimal... | Heegaard splitting | 0.78232 |
86,834 | Here, all splittings may be isotoped to be vertical or horizontal (as proved by Yoav Moriah and Jennifer Schultens). Cooper & Scharlemann (1999) classified splittings of torus bundles (which includes all three-manifolds with Sol geometry). It follows from their work that all torus bundles have a unique splitting of min... | Heegaard splitting | 0.78232 |
86,835 | There are several classes of three-manifolds where the set of Heegaard splittings is completely known. For example, Waldhausen's Theorem shows that all splittings of S 3 {\displaystyle S^{3}} are standard. The same holds for lens spaces (as proved by Francis Bonahon and Otal). Splittings of Seifert fiber spaces are mor... | Heegaard splitting | 0.78232 |
86,836 | Waldhausen's theorem Every splitting of S 3 {\displaystyle S^{3}} is obtained by stabilizing the unique splitting of genus zero.Suppose now that M is a closed orientable three-manifold. Reidemeister–Singer theorem For any pair of splittings H 1 {\displaystyle H_{1}} and H 2 {\displaystyle H_{2}} in M there is a third s... | Heegaard splitting | 0.78232 |
86,837 | Alexander's lemma Up to isotopy, there is a unique (piecewise linear) embedding of the two-sphere into the three-sphere. (In higher dimensions this is known as the Schoenflies theorem. In dimension two this is the Jordan curve theorem.) This may be restated as follows: the genus zero splitting of S 3 {\displaystyle S^{... | Heegaard splitting | 0.78232 |
86,838 | A Heegaard splitting is stabilized if there are essential simple closed curves α {\displaystyle \alpha } and β {\displaystyle \beta } on H where α {\displaystyle \alpha } bounds a disk in V, β {\displaystyle \beta } bounds a disk in W, and α {\displaystyle \alpha } and β {\displaystyle \beta } intersect exactly once. I... | Heegaard splitting | 0.78232 |
86,839 | In the mathematical field of geometric topology, a Heegaard splitting (Danish: ) is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies. | Heegaard splitting | 0.78232 |
86,840 | If, on the other hand, the average kinetic energies of the particles and of the molecules are the same, then no net transfer of energy would take place, and the collisions would be equivalent to elastic ones, which, as has been demonstrated, do not yield a gravitational force. Likewise Isenkrahe's violation of the ener... | Le Sage's theory of gravitation | 0.78232 |
86,841 | However, the image of elementary particles as classical entities who interact directly, determined by their shapes and sizes (in the sense of the net structure proposed by Fatio/Le Sage and the equisized spheres of Isenkrahe/Darwin), is not consistent with current understanding of elementary particles. The Lorentz/Thom... | Le Sage's theory of gravitation | 0.78232 |
86,842 | Lichtenberg originally believed (like Descartes) that every explanation of natural phenomena must be based on rectilinear motion and impulsion, and Le Sage's theory fulfilled these conditions. In 1790 he expressed in one of his papers his enthusiasm for the theory, believing that Le Sage's theory embraces all of our kn... | Le Sage's theory of gravitation | 0.78232 |
86,843 | Pharmaceutical Statistics is indexed in the following services: Current Index to Statistics MEDLINE Science Citation Index Science Citation Index Expanded Scopus | Pharmaceutical Statistics (journal) | 0.782319 |
86,844 | Pharmaceutical Statistics is a peer-reviewed scientific journal that publishes papers related to pharmaceutical statistics. It is the official journal of Statisticians in the Pharmaceutical Industry and is published by John Wiley & Sons. | Pharmaceutical Statistics (journal) | 0.782319 |
86,845 | Thus σ = 2 ( C 1 + I 1 C 2 ) B − 2 C 2 B ⋅ B − 2 3 ( C 1 I 1 + 2 C 2 I 2 ) I . {\displaystyle {\boldsymbol {\sigma }}=2\left(C_{1}+I_{1}~C_{2}\right){\boldsymbol {B}}-2C_{2}~{\boldsymbol {B}}\cdot {\boldsymbol {B}}-{\cfrac {2}{3}}\left(C_{1}\,I_{1}+2C_{2}\,I_{2}\right){\boldsymbol {I}}\,.} Since det J = 1 {\displaystyl... | Mooney–Rivlin solid | 0.782318 |
86,846 | The Cauchy stress in a compressible hyperelastic material with a stress free reference configuration is given by σ = 2 J + I {\displaystyle {\boldsymbol {\sigma }}={\cfrac {2}{J}}\left+\left~{\boldsymbol {I}}} For a compressible Mooney–Rivlin material, ∂ W ∂ I ¯ 1 = C 1 ; ∂ W ∂ I ¯ 2 = C 2 ; ∂ W ∂ J = 2 D 1 ( J − 1 )... | Mooney–Rivlin solid | 0.782318 |
86,847 | The Neptunism and Plutonism theories would compete into the early 19th century with a key driver for resolution of this debate being the work of James Hutton (1726–1797), in particular his Theory of the Earth, first presented before the Royal Society of Edinburgh in 1785. Hutton's theory would later become known as uni... | Geologic timescale | 0.782317 |
86,848 | But it's hard to imagine how the fact that (to put it crudely) my thought is made out of hydrocarbons could matter, except on the unlikely hypothesis that only hydrocarbons can be causally connected to trees in the way that brains are. "John Haugeland takes on the central notion of some set of special "right causal pow... | Biological naturalism | 0.782317 |
86,849 | There have been several criticisms of Searle's idea of biological naturalism. Jerry Fodor suggests that Searle gives us no account at all of exactly why he believes that a biochemistry like, or similar to, that of the human brain is indispensable for intentionality. Fodor thinks that it seems much more plausible to sup... | Biological naturalism | 0.782317 |
86,850 | Searle denies Cartesian dualism, the idea that the mind is a separate kind of substance to the body, as this contradicts our entire understanding of physics, and unlike Descartes, he does not bring God into the problem. Indeed, Searle denies any kind of dualism, the traditional alternative to monism, claiming the disti... | Biological naturalism | 0.782317 |
86,851 | WMIDiag.vbs: The WMI Diagnosis Tool is a VBScript downloadable from Microsoft here and is a tool for testing and validating WMI on Windows 2000 and greater. The download includes pretty thorough documentation and the tool supports numerous switches. When run, it will generate up to four text files which: list the steps... | Mofcomp | 0.782315 |
86,852 | In fact, the award has, over the years, emphasized the methodological contributions to the field which involve mathematical research in various ways, and has recognized achievements in many of the following crucial areas of research: Some areas are in the general Computational number theory and Computational algebra fi... | RSA Award for Excellence in Mathematics | 0.782314 |
86,853 | The award, which started in 1998, is one of the few recognitions fully dedicated to acknowledging experts who have advanced the field of cryptography and its related areas (another such recognition is achieving the rank of an IACR Fellow). The first recipient of the award in 1998 was Shafi Goldwasser. Also, many of the... | RSA Award for Excellence in Mathematics | 0.782314 |
86,854 | The award is cosponsored by the International Association for Cryptologic Research. While the field of modern cryptography started to be an active research area in the 1970s, it has already contributed heavily to Information technology and has served as a critical component in advancing the world of computing: the Inte... | RSA Award for Excellence in Mathematics | 0.782314 |
86,855 | The RSA Conference (RSAC) Award for Excellence in Mathematics is an annual award. It is announced at the annual RSA Conference in recognition of innovations and contributions in the field of cryptography. An award committee of experts, which is associated with the Cryptographer's Track committee at the RSA Conference (... | RSA Award for Excellence in Mathematics | 0.782314 |
86,856 | Keane's research has been split between cognitive science and computer science. His cognitive science research has been in analogy, metaphor, conceptual combination and similarity. His computer science research has been in natural language processing, machine learning, case-based reasoning, text analytics and explainab... | Mark Keane (cognitive scientist) | 0.782311 |
86,857 | Mark T. Keane (Irish: Marcus Ó Cathain, born 3 July 1961, Dublin, Ireland) is a cognitive scientist and author of several books on human cognition and artificial intelligence, including Cognitive Psychology: A Student's Handbook (8 editions, with Michael Eysenck), Advances in the Psychology of Thinking (1992, with Ken ... | Mark Keane (cognitive scientist) | 0.782311 |
86,858 | In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent rings. Every left Noetherian ring is left coherent. | Coherent ring | 0.782309 |
86,859 | It is interesting that aggressive JIT methods such as adaptive optimization often produce code fragments unsuitable for sharing across processes or successive runs of the program, requiring a tradeoff be made between the efficiencies of precompiled and shared code and the advantages of adaptively specialized code. For ... | Comparison of application virtualization software | 0.782309 |
86,860 | The simplest JIT methods simply compile to a code fragment similar to an offline compiler. However, more complex methods are often employed, which specialize compiled code fragments to parameters known only at runtime (see Adaptive optimization). | Comparison of application virtualization software | 0.782309 |
86,861 | In the 1970s, the division's mission responsibilities expanded to include occupational and environmental health oversight for the Air Force, when occupational health laboratories at McClellan Air Force Base, California and Kelly Air Force Base, Texas were combined with a radiological laboratory at Wright-Patterson Air ... | Human Systems Center | 0.782307 |
86,862 | The Journal of Multimedia was a monthly peer-reviewed scientific journal published by Academy Publisher. It covered the study of multimedia algorithms and applications, information retrieval, artificial intelligence, multimedia compression, statistical inference, network theory, and other related topics. The editor-in-... | Journal of Multimedia | 0.782306 |
86,863 | Sinkov statistics, also known as log-weight statistics, is a specialized field of statistics that was developed by Abraham Sinkov, while working for the small Signal Intelligence Service organization, the primary mission of which was to compile codes and ciphers for use by the U.S. Army. The mathematics involved includ... | Sinkov statistic | 0.782305 |
86,864 | In the category of pointed spaces, fundamental in homotopy theory, the coproduct is the wedge sum (which amounts to joining a collection of spaces with base points at a common base point). The concept of disjoint union secretly underlies the above examples: the direct sum of abelian groups is the group generated by the... | Coproduct | 0.782304 |
86,865 | (It therefore coincides exactly with the direct product in the case of finitely many factors.) Given a commutative ring R, the coproduct in the category of commutative R-algebras is the tensor product. In the category of (noncommutative) R-algebras, the coproduct is a quotient of the tensor algebra (see free product of... | Coproduct | 0.782304 |
86,866 | In materials science, a polymer matrix composite (PMC) is a composite material composed of a variety of short or continuous fibers bound together by a matrix of organic polymers. PMCs are designed to transfer loads between fibers of a matrix. Some of the advantages with PMCs include their light weight, high resistance ... | Polymer matrix composite | 0.782303 |
86,867 | In mathematics, a near-ring (also near ring or nearring) is an algebraic structure similar to a ring but satisfying fewer axioms. Near-rings arise naturally from functions on groups. | Near-ring | 0.782302 |
86,868 | The new Technoda campus, inaugurated in September 2006, includes advanced science, technology and computer laboratories, an astronomy observatory and a planetarium. Most days of the year, there are educational and social programs such as: a special center for early childhood-technogan, early childhood science, a mornin... | Technoda - Hadera | 0.782301 |
86,869 | The Technoda was founded in 1986 as an extension of the Madatech Museum at the Technion, as part of the Jewish Agency's neighborhood rehabilitation project. The center offers a variety of educational activities for about 20,000 children a year, from all sectors of society in Israel. The Technoda activities focus on res... | Technoda - Hadera | 0.782301 |
86,870 | In cryptography and computer security, a man-in-the-middle (MITM) attack is a cyberattack where the attacker secretly relays and possibly alters the communications between two parties who believe that they are directly communicating with each other, as the attacker has inserted themselves between the two parties. One e... | Man-in-the-middle attack | 0.782301 |
86,871 | Quantum cryptography, in theory, provides tamper-evidence for transactions through the no-cloning theorem. Protocols based on quantum cryptography typically authenticate part or all of their classical communication with an unconditionally secure authentication scheme. As an example Wegman-Carter authentication. | Man-in-the-middle attack | 0.782301 |
86,872 | p. 17) Thus a "sentence" is a string of symbols, and a theorem is a string of strings of symbols. Turing is confronted with the following task: to convert a Universal Turing machine "program", and the numerical symbols on the tape (Turing's "figures", symbols "1" and "0"), into a "theorem"—that is, a (monstrously long)... | Turing's proof | 0.782298 |
86,873 | (Franzén, p. 65) Franzén has defined "provable" earlier in his book: A formal system is a system of axioms (expressed in some formally defined language) and rules of reasoning (also called inference rules), used to derive the theorems of the system. A theorem is any statement in the language of the system obtainable by... | Turing's proof | 0.782298 |
86,874 | Other papers include those by Gödel, Church, Rosser, and Kleene. Franzén, Torkel (2005). Gödel's Theorem: An Incomplete Guide to its Use and Abuse. | Turing's proof | 0.782298 |
86,875 | Strangely (perhaps World War II intervened) it took Post some ten years to dissect it in the Appendix to his paper Recursive Unsolvability of a Problem of Thue, 1947.Other problems present themselves: In his Appendix Post commented indirectly on the paper's difficulty and directly on its "outline nature" and "intuitive... | Turing's proof | 0.782298 |
86,876 | Turing's proof is a proof by Alan Turing, first published in January 1937 with the title "On Computable Numbers, with an Application to the Entscheidungsproblem". It was the second proof (after Church's theorem) of the negation of Hilbert's Entscheidungsproblem; that is, the conjecture that some purely mathematical yes... | Turing's proof | 0.782298 |
86,877 | A proof is a finite sequence of such applications, leading to a theorem as its conclusion. (ibid. | Turing's proof | 0.782298 |
86,878 | In the example below we will actually construct a simple "theorem"—a little Post–Turing machine program "run it". We will see just how mechanical a properly designed theorem can be. A proof, we will see, is just that, a "test" of the theorem that we do by inserting a "proof example" into the beginning and see what pops... | Turing's proof | 0.782298 |
86,879 | .) is "circle-free" (i.e. goes on printing its number in binary ad infinitum): "...we have no general process for doing this in a finite number of steps" (p. 132, ibid.). Turing's proof, although it seems to use the "diagonal process", in fact shows that his machine (called H) cannot calculate its own number, let alone... | Turing's proof | 0.782298 |
86,880 | In his proof that the Entscheidungsproblem can have no solution, Turing proceeded from two proofs that were to lead to his final proof. His first theorem is most relevant to the halting problem, the second is more relevant to Rice's theorem. First proof: that no "computing machine" exists that can decide whether or not... | Turing's proof | 0.782298 |
86,881 | Here Turing proves "that the Hilbert Entscheidungsproblem can have no solution". Here he …show(s) that there can be no general process for determining whether a given formula U of the functional calculus K is provable. (ibid.) | Turing's proof | 0.782298 |
86,882 | This little program prints three “1”s to the right, reverses direction and moves left printing 0’s until it hits a blank. We will print all the symbols that our machine uses: Here at the end we find that a blank on the left has “come into play” so we leave it as part of the total configuration. Given that we have done ... | Turing's proof | 0.782298 |
86,883 | European Product Design Awards – Platinum – Urban Sustainable Design 2017 European Product Design Awards – Gold – Bicycling and Bicycle Accessories 2017 European Product Design Awards – Gold – Design for Sustainability 2017 European Product Design Awards – Silver – Robotics 2017 CNBC – Top 25 Startup 2017 TIME Magazine... | Superpedestrian | 0.782297 |
86,884 | Superpedestrian Inc., is a transportation robotics company based in Cambridge, Massachusetts, that develops electrified and AI technologies for micromobility vehicles. The company runs the LINK e-scooter sharing program, which is active in 57 cities across the US and Europe. | Superpedestrian | 0.782297 |
86,885 | In functional analysis, the Grothendieck trace theorem is an extension of Lidskii's theorem about the trace and the determinant of a certain class of nuclear operators on Banach spaces, the so-called 2 3 {\displaystyle {\tfrac {2}{3}}} -nuclear operators. The theorem was proven in 1955 by Alexander Grothendieck. Lidski... | Grothendieck trace theorem | 0.782296 |
86,886 | Let λ j ( A ) {\displaystyle \lambda _{j}(A)} denote the eigenvalues of A {\displaystyle A} counted with their algebraic multiplicities. If then the following equalities hold: and for the Fredholm determinant | Grothendieck trace theorem | 0.782296 |
86,887 | TET-mediated conversion of mC to hmC appears to disrupt the binding of 5mC-binding proteins including MECP2 and MBD (Methyl-CpG-binding domain) proteins, facilitating nucleosome remodeling and the binding of transcription factors, thereby activating transcription of those genes. EGR1 is an important transcription facto... | Transcription factor | 0.782295 |
86,888 | It is common in biology for important processes to have multiple layers of regulation and control. This is also true with transcription factors: Not only do transcription factors control the rates of transcription to regulate the amounts of gene products (RNA and protein) available to the cell but transcription factors... | Transcription factor | 0.782295 |
86,889 | In molecular biology, a transcription factor (TF) (or sequence-specific DNA-binding factor) is a protein that controls the rate of transcription of genetic information from DNA to messenger RNA, by binding to a specific DNA sequence. The function of TFs is to regulate—turn on and off—genes in order to make sure that th... | Transcription factor | 0.782295 |
86,890 | Cambridge Encyclopedia of Astronomy. Crown, 1977. Clapham, Frances M.; Taylor, Ron B. (1982). | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,891 | Angelo, Joseph A. (1 January 2009). Encyclopedia of Space and Astronomy. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,892 | Amils, Ricardo; Quintanilla, José Cernicharo; Cleaves, Henderson James (1 June 2011). Encyclopedia of Astrobiology. Springer. ISBN 978-3-642-11271-3. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,893 | Dictionary of Astronomy and Astronautics. Philosophical Library. Stewart, John. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,894 | Encyclopedia of Astronomy. Hamlyn. Schweighauser, Charles A. Astronomy from A to Z: A Dictionary of Celestial Objects and Ideas. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,895 | Larousse Encyclopedia of Astronomy. Prometheus Press. Rycroft, Michael. The Cambridge Encyclopedia of Space. Cambridge, 1990. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,896 | (1979). Encyclopedia of astronomy: a comprehensive survey of our solar system, galaxy and beyond. Hamlyn. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,897 | ISBN 978-0-690-01838-7. Ridpath, Ian; Woodruff, John (13 September 1996). Cambridge Astronomy Dictionary. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,898 | McGraw-Hill encyclopedia of astronomy. McGraw-Hill. ISBN 978-0-07-045314-2. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
86,899 | The Canopus Encyclopedia of Astronomy. Canopus. ISBN 978-0-9537868-8-6. | Bibliography of encyclopedias: astronomy and astronomers | 0.782295 |
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