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But this comes from the one-sided way these gentlemen think. To put dy/dx = 0/0, firmly and point-blank, does not enter their skulls. Historian of science Kathryn Olesko states that, contrary to many claims made by both Engels and the publishers of Marx's manuscripts, Marx's work did not "solve the historical and conce...
Mathematical manuscripts of Karl Marx
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Early Cowles Commission work on simultaneous equations estimation centered on Koopman and Hood's (1953) algorithms from transport economics and optimal routing, with maximum likelihood estimation, and closed form algebraic calculations, as iterative solution search techniques were limited in the days before computers. ...
Structural equation modelling
0.799221
83,402
Jean-Loup Delcroix received secondary education at Lycée Janson-de-Sailly in Paris and Lycée Champollion in Grenoble. He matriculated in 1944 at ENS Paris and graduated there in 1948 with outstanding rank in the agrégation in physics. He graduated in 1953 with a doctorate from the University of Paris. His thesis is ent...
Jean-Loup Delcroix
0.799221
83,403
Although the distance update is still correct with the help of synchronization, the resource is wasted. In fact, to find the vertices for the next frontier, each unvisited vertex only need to check if any its neighbor vertex is in the frontier. This is also the core idea for direction optimization.
Parallel breadth-first search
0.799221
83,404
It is ab initio in the sense that it does not make use of parameters from experimental data (see semi-empirical quantum chemistry method). Electronic exchange is considered, but electron correlation is not. It is able to predict the shapes of molecular orbitals and their energies that are similar to the more rigorous a...
Fenske-Hall method
0.799221
83,405
Between 1963 and 1967 he was a researcher at the Laboratory of Semiconductor Physics Problems, SUL, whereas beginning with the year 1967 he led the Laboratory of Physics of Organic Semiconductors (later the Laboratory of Organic Solid State Physics and Molecular Electronics) at the Institute of Physical Energetics, Lat...
Edgar Silinsh
0.799221
83,406
Around this date, it appeared that one may also define geometric spaces by constructions involving vector spaces (see, for example, Projective space and Affine space). It has been shown that the two approaches are essentially equivalent. In classical geometry, the involved vector spaces are vector spaces over the reals...
Linear Algebra
0.799221
83,407
The kernel calls had advantages over hard-coded loops: the library routine would be more readable, there were fewer chances for bugs, and the kernel implementation could be optimized for speed. A specification for these kernel operations using scalars and vectors, the level-1 Basic Linear Algebra Subroutines (BLAS), wa...
Basic Linear Algebra Subprograms
0.799221
83,408
Progesterone, given by injections, was first shown to inhibit ovulation in animals in 1937 by Makepeace and colleagues.In early 1951, reproductive physiologist Gregory Pincus, a leader in hormone research and co-founder of the Worcester Foundation for Experimental Biology (WFEB) in Shrewsbury, Massachusetts, first met ...
Combined oral birth control pill
0.799221
83,409
In 2009, the Chinese Ministry of Science and Technology established a scientific cooperation program with the European Commission (CE), with the goal of conducting joint projects in scientific research areas of mutual interest. On December 16, 2015, the Ministry of Science and Technology of China launched a call for pr...
Ministry of Science and Technology (China)
0.79922
83,410
The first mention of "aerobiology" was made by Fred Campbell Meier in the 1930s. The particles, which can be described as Aeroplankton, generally range in size from nanometers to micrometers which makes them challenging to detect.Aerosolization is the process of a small and light particles becoming suspended in moving ...
Aerobiology
0.79922
83,411
It is more convenient in a linear system to take the Fourier transform and write this relationship as a function of frequency. Due to the convolution theorem, the integral becomes a product, This has a similar form to the Clausius–Mossotti relation: This frequency dependence of the susceptibility leads to frequency dep...
Electric susceptibility
0.79922
83,412
It has been formalized further by R.-J. Back and others in the refinement calculus. Some tools like B-Method now provide automated reasoning in order to promote this methodology. In the meta-theory of Hoare logic, weakest-preconditions appear as a key notion in the proof of relative completeness.
Predicate transformer semantics
0.79922
83,413
Nash proved that every m-dimensional Riemannian manifold admits a continuously differentiable isometric embedding into ℝ2m + 1.At the time of Nash's work, his theorem was considered to be something of a mathematical curiosity. The result itself has not found major applications. However, Nash's method of proof was adapt...
Nash–Kuiper theorem
0.79922
83,414
In vector calculus, the Jacobian matrix (, ) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes the same number of variables as input as the number of vector components of its output, its determinant is ...
Jacobian matrix and determinant
0.799219
83,415
In Fig. 5-1, two separated particles, free-falling in the gravitational field of the Earth, exhibit tidal accelerations due to local inhomogeneities in the gravitational field such that each particle follows a different path through spacetime. The tidal accelerations that these particles exhibit with respect to each ot...
Space-time interval
0.799219
83,416
Bonnie Anne Berger is an American mathematician and computer scientist, who works as the Simons professor of mathematics and professor of electrical engineering and computer science at the Massachusetts Institute of Technology. Her research interests are in algorithms, bioinformatics and computational molecular biology...
Bonnie Berger
0.799219
83,417
Developing machines that could speed up human calculation of differential equations led in part to the creation of the modern computer through the efforts of Vannevar Bush, John von Neumann and others. According to Mary Croarken in her paper "Computing in Britain During World War II," by 1945, the Cambridge Mathematica...
History of numerical solution of differential equations using computers
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83,418
1912: A System of Notation for Vector-Analysis; with a Discussion of the Underlying Principles from Bulletin of the Quaternion Society. 1913: On Vector-Analysis as Generalized Algebra from Bulletin of the Quaternion Society. Macfarlane, Alexander (1916).
Alexander Macfarlane
0.799219
83,419
CCSP: A process calculus obtained from CCS by incorporating some operators of CSP. It is defined by Olderog and by van Glabbeek/Vaandrager. CSP: Communicating sequential processes; formal language for describing patterns of interaction in concurrent systems. FDR2 is a refinement checking tool for CSP, comparing two mod...
List of model checking tools
0.799219
83,420
The Apache OpenNLP library is a machine learning based toolkit for the processing of natural language text. It supports the most common NLP tasks, such as language detection, tokenization, sentence segmentation, part-of-speech tagging, named entity extraction, chunking, parsing and coreference resolution. These tasks a...
Apache OpenNLP
0.799218
83,421
In 1901 he was awarded by the first Nobel Prize in Chemistry "in recognition of the extraordinary services he has rendered by the discovery of the laws of chemical dynamics and osmotic pressure in solutions". After van 't Hoff, chemical kinetics deals with the experimental determination of reaction rates from which rat...
Chemical reaction kinetics
0.799218
83,422
Cognitive biology evaluates cognition as a basic biological function. W. Tecumseh Fitch, a professor of cognitive biology at the University of Vienna, is a leading theorist on ideas of cellular intentionality. The idea is that not only do whole organisms have a sense of "aboutness" of intentionality, but that single ce...
Wetware computer
0.799218
83,423
Facilities, experiments and laboratories involved in astroparticle physics include: IceCube (Antarctica). The longest particle detector in the world, was completed in December 2010.
Particle astrophysics
0.799218
83,424
A fracture is a mathematical singularity to which the classical equations of continuum mechanics cannot be applied directly. The peridynamic theory has been proposed with the purpose of mathematically models fractures formation and dynamic in elastic materials. It is founded on integral equations, in contrast with clas...
Peridynamics
0.799218
83,425
In condensed matter physics, the term geometrical frustration (or in short: frustration) refers to a phenomenon where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex str...
Geometrically frustrated magnet
0.799217
83,426
These anomalies are present at room temperature, i.e. at roughly 20 °C (293 K).This behavior is a direct result of graphene's massless Dirac electrons. In a magnetic field, their spectrum has a Landau level with energy precisely at the Dirac point. This level is a consequence of the Atiyah–Singer index theorem and is h...
Electronic properties of graphene
0.799217
83,427
This process is called differentiation, through epigenetic and regulatory alterations. The grouping of similar cells and tissues creates the foundation for organs. Somatic mutations are changes to the genetics of a multicellular organism that are not passed on to its offspring through the germline.
Somatic (biology)
0.799217
83,428
Evidence suggests Bhaskara was acquainted with some ideas of differential calculus. Bhaskara also goes deeper into the 'differential calculus' and suggests the differential coefficient vanishes at an extremum value of the function, indicating knowledge of the concept of 'infinitesimals'. There is evidence of an early f...
Differential and integral calculus
0.799217
83,429
For example, if G {\displaystyle G} is the Heisenberg group given by matrices it has Lie algebra given by the set of matrices since we can find a path γ: ( − 1 , 1 ) → H {\displaystyle \gamma :(-1,1)\to H} giving any real number in one of the upper matrix entries with i < j {\displaystyle i
Pushforward (differential)
0.799217
83,430
In number theory, a sublime number is a positive integer which has a perfect number of positive factors (including itself), and whose positive factors add up to another perfect number.The number 12, for example, is a sublime number. It has a perfect number of positive factors (6): 1, 2, 3, 4, 6, and 12, and the sum of ...
Sublime number
0.799217
83,431
Small-angle X-ray scattering (SAXS) experiments provide structural and dynamic information of large molecular assemblies like polymers, colloids, proteins and fibres. A wide range of fields (medicine, biology, chemistry, physics, archaeological, environmental and conservation sciences and materials) can be covered by t...
ALBA (synchrotron)
0.799217
83,432
Better spectrography in the 1950s showed that CO2 and water vapor absorption lines did not overlap completely. Climatologists also realized that little water vapor was present in the upper atmosphere. Both developments showed that the CO2 greenhouse effect would not be overwhelmed by water vapor.In 1955 Hans Suess's ca...
History of climate change science
0.799217
83,433
Geochemistry, Geophysics, Geosystems is a peer-reviewed open-access scientific journal covering research in Earth and planetary processes with a focus on understanding the Earth as a system. The journal is published by Wiley on behalf of the American Geophysical Union. As of May 2022 the editor-in-chief is Claudio Facc...
Geochemistry, Geophysics, Geosystems
0.799216
83,434
A rotary encoder, also called a shaft encoder, is an electro-mechanical device that converts the angular position or motion of a shaft or axle to analog or digital output signals.There are two main types of rotary encoder: absolute and incremental. The output of an absolute encoder indicates the current shaft position,...
Optical encoder
0.799216
83,435
However, in cases where an enzyme is responsible for metabolizing a pro-drug into a drug, enzyme induction can speed up this conversion and increase drug levels, potentially causing toxicity. Various physiological and pathological factors can also affect drug metabolism. Physiological factors that can influence drug me...
Phase II metabolism
0.799215
83,436
Physically based animation is now common in movies and video games, and many techniques were pioneered during the development of early special effects scenes and game engines. Star Trek II: The Wrath of Khan famously used particle systems in the Genesis explosion scene to create the visual effect of a flaming shockwave...
Physically based animation
0.799215
83,437
The IMMC is overseen by an international Organizing Committee of the following people: Solomon Garfunkel, COMAP, USA – Chair Keng Cheng Ang, National Institute of Education, Singapore Fengshan Bai, Deputy Dean of Faculty of Science, Tsinghua University, China Alfred Cheung, NeoUnion ESC Organization, Hong Kong SAR Fred...
International Mathematical Modeling Challenge
0.799215
83,438
Coordination polymers are often prepared by self-assembly, involving crystallization of a metal salt with a ligand. The mechanisms of crystal engineering and molecular self-assembly are relevant. The structure and dimensionality of the coordination polymer are determined by the linkers and the coordination geometry of ...
Coordination polymer
0.799215
83,439
In extensions of a logic, the set of well-formed formulas generated is a proper superset of the set of well-formed formulas generated by classical logic. the set of theorems generated is a proper superset of the set of theorems generated by classical logic, but only in that the novel theorems generated by the extended ...
Nonclassical logic
0.799215
83,440
American author Michael Eric Dyson felt that Dr. King only believed in the possibility of a color-blind society under the condition that racism and oppression were ultimately destroyed.Supreme Court Justice Clarence Thomas has supported color-blind policies. He believes the Equal Protection Clause of the Fourteenth Ame...
Colorblind racism
0.799215
83,441
The exponential of its vacuum expectation value determines the coupling constant g and the Euler characteristic χ = 2 − 2g as 1 2 π ∫ R = χ {\textstyle \;{\tfrac {1}{2\pi }}\int R=\chi \;} for compact worldsheets by the Gauss–Bonnet theorem, where the genus g counts the number of handles and thus the number of loops or...
Dilaton
0.799214
83,442
It was Sander Zwegers who, as a PdD student, had groundbreaking ideas how to fit the mock theta functions into a broader context. His 2002 PhD thesis has led to numerous publications and international conferences.Zwegers' general area of interest is number theory. More specifically, he studies modular forms and variati...
Sander P. Zwegers
0.799214
83,443
The first chapter, titled "Varieties", deals with the classical algebraic geometry of varieties over algebraically closed fields. This chapter uses many classical results in commutative algebra, including Hilbert's Nullstellensatz, with the books by Atiyah–Macdonald, Matsumura, and Zariski–Samuel as usual references. T...
Algebraic Geometry (book)
0.799214
83,444
As he moved from biology to bioethics, Kass also moved from full-time research into teaching, first at St. John's College from 1972 to 1976, Georgetown University from 1974 to 1976, and at Chicago from 1976 onward. At St. John's, Kass taught in the Great Books program as well as in-depth studies of Aristotle's De Anima...
Leon Kass
0.799214
83,445
In solid-state physics, an energy gap or band gap is an energy range in a solid where no electron states exist, i.e. an energy range where the density of states vanishes. Especially in condensed-matter physics, an energy gap is often known more abstractly as a spectral gap, a term which need not be specific to electron...
Superconducting energy gap
0.799214
83,446
The rational singularity and fundamental cycles, which are used in matroid theory, are such examples of his sheer originality and thinking. He began to turn his interest from algebraic geometry to noncommutative algebra (noncommutative ring theory), especially geometric aspects, after a talk by Shimshon Amitsur and an ...
Michael Artin
0.799213
83,447
SFIA's seven Levels of Responsibility are characterised in terms of Generic Attributes (of Autonomy, Influence, Complexity, Knowledge and Business Skills). From a Professional Services perspective, responsibility levels 2-6 can be thought of anecdotally as: Associate professional, Professional, Senior professional, Pri...
Skills Framework for the Information Age
0.799213
83,448
In the commutative case, the lemma is a simple consequence of a generalized form of the Cayley–Hamilton theorem, an observation made by Michael Atiyah (1969). The special case of the noncommutative version of the lemma for right ideals appears in Nathan Jacobson (1945), and so the noncommutative Nakayama lemma is somet...
Nakayama's lemma
0.799213
83,449
As quoted from these sources in an online version of: David R. Lide (ed), CRC Handbook of Chemistry and Physics, 84th Edition. CRC Press. Boca Raton, Florida, 2003; Section 9, Molecular Structure and Spectroscopy; Electronegativity Pauling, L., The Nature of the Chemical Bond, Third Edition, Cornell University Press, I...
Electronegativities of the elements (data page)
0.799213
83,450
Bachelor's degree in computer science – type of bachelor's degree awarded for study of computer science, emphasizing the mathematical and theoretical foundations of computing, rather than teaching specific technologies that may quickly become outdated. Such a degree is a common initial bachelor's degree for those enter...
Outline of software development
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83,451
Renewable energy includes a number of sources and technologies at different stages of commercialization. The International Energy Agency (IEA) has defined three generations of renewable energy technologies, reaching back over 100 years: "First-generation technologies emerged from the industrial revolution at the end of...
Renewable-energy economy
0.799213
83,452
It was Kirchhoff's law of thermal radiation in which he proposed an unknown universal law for radiation that led Max Planck to the discovery of the quantum of action leading to quantum mechanics.
Gustav Kirchhoff
0.799212
83,453
Schmidhuber's work is highly influential in intrinsic motivation which has emerged as a research topic as part of the study of artificial intelligence and robotics. According to Schmidhuber, his objective function explains the activities of scientists, artists, and comedians. For example, physicists are motivated to cr...
Creativity
0.799212
83,454
The C4 Engine has a native physics engine which can be used or allows the option for implementing a 3rd party solution instead.
C4 Engine
0.799212
83,455
Bellerive, A. (2004). "Review of Solar Neutrino Experiments". International Journal of Modern Physics A.
Solar neutrino unit
0.799212
83,456
Recently, some scholars have argued that batch normalization does not reduce internal covariate shift, but rather smooths the objective function, which in turn improves the performance. However, at initialization, batch normalization in fact induces severe gradient explosion in deep networks, which is only alleviated b...
Batch normalization
0.799212
83,457
S represents a sum the unit siemens of electric conductance the unit sphere (with superscript denoting dimension) the scattering matrix entropy action in joule-seconds Apparent power in electrical engineering Area Spin operator Sulfur Symmetric group s represents: an arclength a path length the displacement in mechanic...
List of mathematical uses of Latin letters
0.799211
83,458
Using antibody staining, they were able to show that the mouse and human proteins remained segregated to separate halves of the heterokaryon a short time after cell fusion. However, the proteins eventually diffused and over time the border between the two halves was lost. Lowering the temperature slowed the rate of thi...
Fluid mosaic model
0.799211
83,459
In mathematics, a principal homogeneous space, or torsor, for a group G is a homogeneous space X for G in which the stabilizer subgroup of every point is trivial. Equivalently, a principal homogeneous space for a group G is a non-empty set X on which G acts freely and transitively (meaning that, for any x, y in X, ther...
Principal homogeneous space
0.799211
83,460
Since valves lower the pitch, a valve that makes a pitch too low (flat) creates an interval wider than desired, while a valve that plays sharp creates an interval narrower than desired. Intonation deficiencies of brass instruments that are independent of the tuning or temperament system are inherent in the physics of t...
Brass instrument
0.799211
83,461
B.A. in Biology, Johns Hopkins University, 1980 M.S. in Biological Oceanography, University of Rhode Island, 1984 Ph.D. in Biology/Ocean Sciences, University of California, 1995 Postdoctoral Fellow, Rutgers University Institute for Marine and Coastal Sciences, 1995–1997
Mary Voytek
0.799211
83,462
In 1963, Calvin was given the additional title of Professor of Molecular Biology. He was founder and Director of the Laboratory of Chemical Biodynamics, known as the “Roundhouse”, and simultaneously Associate Director of Berkeley Radiation Laboratory, where he conducted much of his research until his retirement in 1980...
Melvin Calvin
0.79921
83,463
In particular. If A*A = B*B, then C is a partial isometry, which is unique if Ker(B*) ⊂ Ker(C). In general, for any bounded operator A, where (A*A)1/2 is the unique positive square root of A*A given by the usual functional calculus.
Polar decomposition theorem
0.79921
83,464
His years at Harvard were undistinguished, earning high grades in chemistry (his major) and mining (his minor). After graduation from Harvard in 1909, he worked towards his Ph.D. at Radcliffe College supported by a teaching assistantship.
Roger Adams
0.79921
83,465
Observe extragalactic transient sources, such as GRBs and AGN, and notify other observers promptly so they can make multi-wavelength and multi-messenger observations. Perform a deep, unbiased survey of the TeV gamma-ray and cosmic-ray sky to understand TeV astrophysical sources sufficiently to search for new fundamenta...
High Altitude Water Cherenkov Experiment
0.79921
83,466
An engine power plant is a power station in which power comes from the combination of a reciprocating engine and an alternator. Thanks to very short start-up time, Engine power plants can provide full output within few minutes (high flexibility) and ensure load balancing. As the share of electricity coming from variabl...
Engine power plant
0.799209
83,467
Artificial cellsArtificial cells such as synthetic red blood cells that have all or many of the natural cells' known broad natural properties and abilities could be used to load functional cargos such as hemoglobin, drugs, magnetic nanoparticles, and ATP biosensors which may enable additional non-native functionalities...
Nanobiotechnology
0.799209
83,468
Birch–Tate conjecture on the relation between the order of the center of the Steinberg group of the ring of integers of a number field to the field's Dedekind zeta function. Bombieri–Lang conjectures on densities of rational points of algebraic surfaces and algebraic varieties defined on number fields and their field e...
Open problem in mathematics
0.799209
83,469
Hermona Soreq (חרמונה שורק) is an Israeli professor of Molecular Neuroscience at The Hebrew University of Jerusalem. Best known for her work on the signaling of acetylcholine and its relevance in stress responses and neurodegenerative diseases such as Parkinson's and Alzheimer's.
Hermona Soreq
0.799208
83,470
In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol {3,5/2,5}. It is one of 10 regular Schläfli-Hess polytopes.
Great icosahedral 120-cell
0.799208
83,471
A tosylhydrazone in organic chemistry is a functional group with the general structure RR'C=N-NH-Ts where Ts is a tosyl group. Organic compounds having this functional group can be accessed by reaction of an aldehyde or ketone with tosylhydrazine.
Tosylhydrazone
0.799208
83,472
Mobility is defined for any species in the gas phase, encountered mostly in plasma physics and is defined as where q {\displaystyle q} is the charge of the species, ν m {\displaystyle \nu _{\text{m}}} is the momentum-transfer collision frequency, m {\displaystyle m} is the mass.Mobility is related to the species' diffu...
Ionic mobility
0.799207
83,473
Siemiginowska wanted to be an astronomer from a very young age. She has a master's degree from the University of Warsaw, and a Ph.D. from the Nicolaus Copernicus Astronomical Center of the Polish Academy of Sciences. She came to the Harvard–Smithsonian Center for Astrophysics as a postdoctoral researcher, before obtain...
Aneta Siemiginowska
0.799207
83,474
A type of cone of particular interest to pure mathematicians is the partially ordered set of rational cones. "Rational cones are important objects in toric algebraic geometry, combinatorial commutative algebra, geometric combinatorics, integer programming.". This object arises when we study cones in R d {\displaystyle ...
Cone (linear algebra)
0.799207
83,475
Though the syntax of template metaprogramming is usually very different from the programming language it is used with, it has practical uses. Some common reasons to use templates are to implement generic programming (avoiding sections of code which are similar except for some minor variations) or to perform automatic c...
Template metaprogramming
0.799207
83,476
In 2014, he was named a Fellow of the Society for Cryobiology in recognition of the impact of his work in low temperature biology.In 2015–2017, Fahy led the TRIIM (Thymus Regeneration, Immunorestoration, and Insulin Mitigation) human clinical trial, designed to reverse aspects of human aging. The purpose of the TRIIM t...
Greg Fahy
0.799206
83,477
Anton, Howard (2005), Elementary Linear Algebra (Applications Version) (9th ed. ), Wiley International Banerjee, Sudipto; Roy, Anindya (2014), Linear Algebra and Matrix Analysis for Statistics, Texts in Statistical Science (1st ed. ), Chapman and Hall/CRC, ISBN 978-1420095388 Bretscher, Otto (2004), Linear Algebra with...
Linear Algebra
0.799206
83,478
In 1995, 2 studies conducted identified unique approaches to analyzing global gene expression of a genome which collectively promoted the value of identifying and analyzing gene signatures for physiological relevance. The first study reports a technique that improves expressed sequence tag (EST) analysis, known as Seri...
Gene signature
0.799206
83,479
Twenty years hence naturalists may be in a position to say whether this is, or is not, the case; but in either event they will owe the author of "The Origin of Species" an immense debt of gratitude.... And viewed as a whole, we do not believe that, since the publication of Von Baer's "Researches on Development," thirty...
Darwinian evolution
0.799206
83,480
He left Cambridge in 1945 to be a lecturer in the Department of Physics at University College, Cardiff becoming in 1954 Professor of Physics and Director of the Viriamu Jones Laboratory, a post he held until 1965. There he founded a school of organic crystal chemistry which achieved world-wide recognition for its work ...
Arthur Wilson (crystallographer)
0.799205
83,481
The sucC RNA motif is a conserved RNA structure discovered using bioinformatics. sucC RNAs are found in the genus Pseudomonas, and are consistently found in possible 5' untranslated regions of sucC genes. These genes encode Succinyl coenzyme A synthetase, and are hypothesised to be regulated by the sucC RNAs. sucC gene...
SucC RNA motif
0.799205
83,482
Sorgner also criticizes what Habermas said about the difference between education and genetic engineering. According to Habermas, genetic manipulation would be very different from education due to its irreversibility. Sorger disputes both that education can always be modified by children, and that genetic modifications...
Stefan Lorenz Sorgner
0.799205
83,483
That's how movies are made. The background needed for such an example is little more than knowledge about making movies, about the algebra of pictures in DrRacket (which is like the one for numbers), and minimal pre-algebra.
ProgramByDesign
0.799204
83,484
Then it makes sense to speak of the quotient algebra G/(ker f). The first isomorphism theorem for Malcev algebras states that this quotient algebra is naturally isomorphic to the image of f (which is a subalgebra of B). The connection between this and the congruence relation for more general types of algebras is as fol...
Kernel (group theory)
0.799204
83,485
The CFX-9850GB Plus includes a built-in software library, and the CFX-9850GC Plus increases memory from 32k to 64k. Two other models were sold alongside the CFX-9850G series, the CFX-9950G series, which has 64k of memory, and the CFX-9970G, which has symbolic algebra. The series was discontinued with the CFX-9850GC Plu...
Casio 9850 series
0.799204
83,486
The use of evidence under Bayes' theorem relates to the probability of finding evidence in relation to the accused, where Bayes' theorem concerns the probability of an event and its inverse. Specifically, it compares the probability of finding particular evidence if the accused were guilty, versus if they were not guil...
Evidence under Bayes' theorem
0.799204
83,487
In 1952, Arthur Strahler proposed a modification to Horton's method. Both Horton's and Strahler's methods established the assignment of the lowest order, number 1, starting at the river's headwater, which is the highest elevation point. Classical order number assignment correlates to height and elevation and traces ups...
Stream order
0.799204
83,488
For example, suppose one started with 0 and added 0.3 to that one hundred times while rounding the running total between every addition. The result would be 0 with regular rounding, but with stochastic rounding, the expected result would be 30, which is the same value obtained without rounding. This can be useful in ma...
Nearest integer function
0.799204
83,489
There, he turned to differential geometry, in particular problems of mean curvature flows and applications in general relativity. In 1985, he returned to the University of Heidelberg, earning his habilitation in 1986. After some time as a visiting professor at the University of California, San Diego, he returned to ANU...
Gerhard Huisken
0.799204
83,490
For a particle diffusing on a two-dimensional disk where A {\displaystyle A} is the surface of the domain. The function u ϵ ( y ) {\displaystyle u_{\epsilon }(y)} does not depend on the initial position y {\displaystyle y} , except for a small boundary layer near the absorbing boundary due to the asymptotic form. The f...
Narrow escape problem
0.799203
83,491
Commonly known a posteriori methods are listed below: ε-constraints method Pareto-Hypernetworks Multiple-objective Branch-and-Bound Normal Boundary Intersection (NBI) Modified Normal Boundary Intersection (NBIm) Normal Constraint (NC), Successive Pareto Optimization (SPO) Directed Search Domain (DSD) NSGA-II PGEN (Pare...
Multivariate optimization
0.799203
83,492
Let G {\displaystyle G} be a locally compact group and Γ {\displaystyle \Gamma } a discrete subgroup (this means that there exists a neighbourhood U {\displaystyle U} of the identity element e G {\displaystyle e_{G}} of G {\displaystyle G} such that Γ ∩ U = { e G } {\displaystyle \Gamma \cap U=\{e_{G}\}} ). Then Γ {\di...
Arithmetic lattice
0.799203
83,493
Continuous flow electrochemistry like continuous photochemistry offers many advantages over analogous batch conditions. Electrochemistry like Photochemical reactions can be considered as 'reagent-less' reactions. In an electrochemical reaction the reaction is facilitated by the number of electrons that are able to acti...
Continuous flow reactor
0.799203
83,494
A further construction in A1-homotopy theory is the category SH(S), which is obtained from the above unstable category by forcing the smash product with Gm to become invertible. This process can be carried out either using model-categorical constructions using so-called Gm-spectra or alternatively using infinity-catego...
Motivic homotopy theory
0.799203
83,495
Quotient groups can be obtained from a spin group by quotienting out by a subgroup of the center, with the spin group then being a covering group of the resulting quotient, and both groups having the same Lie algebra. Quotienting out by the entire center yields the minimal such group, the projective special orthogonal ...
Spinor group
0.799203
83,496
{\displaystyle Y.} In particular, open subsets of X {\displaystyle X} that are not saturated have no impact on whether the function f {\displaystyle f} is a quotient map (or, indeed, continuous: a function f: X → Y {\displaystyle f:X\to Y} is continuous if and only if, for every saturated S ⊆ X {\textstyle S\subseteq X...
Gluing (topology)
0.799203
83,497
In the realm of sustainable environmental issues, future-proof is used generally to describe the ability of a design to resist the impact of potential climate change due to global warming. Two characteristics describe this impact. First, "dependency on fossil fuels will be more or less completely eliminated and replace...
Future-proof
0.799202
83,498
Q is an abelian fermionic spinor subquotient algebra, and is a sum of N real spinor representations of L. (When the signature of spacetime is divisible by 4 there are two different spinor representations of L, so there is some ambiguity about the structure of Q as a representation of L.) The elements of Q, or rather th...
Supersymmetry algebra
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83,499
Some programming languages support array programming, where operations and functions defined for certain data types are implicitly extended to arrays of elements of those types. Thus one can write A+B to add corresponding elements of two arrays A and B. Usually these languages provide both the element-by-element multip...
Multidimensional array
0.799202