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In January 2023 she was appointed Assistant Professor of Chemical and Biological Engineering at Princeton University. She works on the development of computational approaches to determine cellular organisation, in particular liquid-liquid phase separation.Joseph is the founder of CariScholar, an organisation designed t...
Jerelle Joseph
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Generation expansion planning (also known as GEP) is finding an optimal solution for the planning problem in which the installation of new generation units satisfies both technical and financial limits. GEP is a challenging problem because of the large scale, long-term and nonlinear nature of generation unit size. Due ...
Generation expansion planning
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In 2018 the NA61/SHINE collaboration published an addendum presenting an intent to upgrade the experimental facility and perform a new set of measurements after Long Shutdown 2. As in the original program, the new one proposes studies of hadron-nucleus and nucleus-nucleus interactions for heavy ions, neutrino and cosmi...
NA61 experiment
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Their use of empirical observation led to the formation of crude forms of the scientific method. The study of physics in the Islamic world started in Iraq and Egypt. Fields of physics studied in this period include optics, mechanics (including statics, dynamics, kinematics and motion), and astronomy.
Islamic optics
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De Giorgi's conjecture for boundary reaction terms in dimension ≤ 5 was solved by Alessio Figalli and Joaquim Serra, which was one of the results mentioned in Figalli's 2018 Fields Medal lecture given by Luis Caffarelli. His work on minimal surfaces, partial differential equations and calculus of variations earned him ...
Ennio de Giorgi
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A computer scientist is a scholar who specializes in the academic study of computer science.Computer scientists typically work on the theoretical side of computation, as opposed to the hardware side on which computer engineers mainly focus (although there is overlap). Although computer scientists can also focus their w...
Computer scientist
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When α = 1 {\displaystyle \alpha =1} and κ , λ {\displaystyle \kappa ,\lambda } are restricted to being only 0, then c κ {\displaystyle c_{\kappa }} becomes ∃ {\displaystyle \exists } , the diagonals can be dropped out, and the following theorem of cylindric algebra (Pinter 1973): c κ ( x + y ) = c κ x + c κ y {\displa...
Cylindric algebra
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He learned how to use a variety of astronomical instruments, how to correct observations and how to apply mathematical and arithmetical analysis to solve astronomical problems. Becker's enthusiastic teaching methods must have had a profound influence on Jackson as he then chose to pursue a career in astronomy.As there ...
John Jackson (astronomer)
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The Hosoya index of a graph G, its number of matchings, is used in chemoinformatics as a structural descriptor of a molecular graph. It may be evaluated as mG(1) (Gutman 1991). The third type of matching polynomial was introduced by Farrell (1980) as a version of the "acyclic polynomial" used in chemistry.
Matching polynomial
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3D modeling is also used in the field of industrial design, wherein products are 3D modeled before representing them to the clients. In media and event industries, 3D modeling is used in stage and set design.The OWL 2 translation of the vocabulary of X3D can be used to provide semantic descriptions for 3D models, which...
3D artist
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The U.S. government's position is that "chances of contact with an extraterrestrial intelligence are extremely small, given the distances involved." This line of thinking has led some to conclude that first contact will most likely be made with extraterrestrial artificial intelligence, rather than with biological being...
Extraterrestrial civilisations
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One target audience for the book is researchers in graph theory, for whom these problems may provide material for much future research. They may also provide an inspiration for students of mathematics, and reviewer Arthur Hobbs suggests that the book could even be used as the basis for a graduate course. Additionally, ...
Erdős on Graphs
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In molecular biology, the FAD dependent oxidoreductase family of proteins is a family of FAD dependent oxidoreductases. Members of this family include Glycerol-3-phosphate dehydrogenase EC 1.1.99.5, Sarcosine oxidase beta subunit EC 1.5.3.1, D-amino-acid dehydrogenase EC 1.4.99.1, D-aspartate oxidase EC 1.4.3.1. D-amin...
FAD dependent oxidoreductase family
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The Galois theory of a depth two extension is not irrelevant to a depth n > 2 Frobenius extension since such a depth n extension embeds in a depth two extension in a tower of iterated endomorphism rings. For example, given a depth three Frobenius extension of ring A over subring B, one can show that the left multiplica...
Depth two subring
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Every finite Boolean algebra is complete. The algebra of subsets of a given set is a complete Boolean algebra. The regular open sets of any topological space form a complete Boolean algebra. This example is of particular importance because every forcing poset can be considered as a topological space (a base for the top...
Complete Boolean algebra
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(in Russian), English Translation: A characterization of distributions by mean values of statistics and certain probabilistic metrics A. A. Zinger, A. V. Kakosyan, L. B. Klebanov in Journal of Soviet Mathematics (1992). In the same paper there was given a definition of strongly negative definite kernel, and provided a ...
Energy distance
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The changes of the optical and electrical signal allow us to understand the evolution of the electrode process. The techniques on which the spectroelectrochemistry is based are: Electrochemistry, which studies the interaction between electrical energy and chemical changes. This technique allows us to analyse reactions ...
Spectroelectrochemistry
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The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned with the practical matter of making buildings, while mathematics is the pu...
Mathematics and architecture
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The processor contains 80 nodes that communicate over a mesh network. Each node consists of four either convolutional or fully connected Neural Processing Units (NPUs), coupled with individual memory units. Akida runs an entire neural network executing all neuron layers in parallel.
BrainChip
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Over time, many features were added to the ICS, such as Elo ratings and support for graphical clients, and the server was made more stable.In late 1992, Daniel Sleator, professor of computer science at Carnegie Mellon University, took over management of the ICS. He addressed, among other issues, the frequent complaint ...
Internet chess server
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In middle school his father taught him mathematics and physics and his mother taught him Tamil. He later attended the Hindu High School, Triplicane, Madras during the years 1922–25. Subsequently, he studied at Presidency College, Madras (affiliated to the University of Madras) from 1925 to 1930, writing his first paper...
Subrahmanyan Chandrasekhar
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In 1920, George Sarton wrote in his review of the first volume that it was a "truly monumental work, the greatest single addition to our knowledge of ancient chemistry (and also to our knowledge of human superstition) since the days of Kopp". In a review of the 1931 volume, Sarton warned that the portion dealing with A...
Edmund Oscar von Lippmann
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Alternatively, one may require that the pairing be a nondegenerate form, meaning that for all non-zero x ≠ 0 {\displaystyle x\neq 0} there exists some y {\displaystyle y} such that ⟨ x , y ⟩ ≠ 0 , {\displaystyle \langle x,y\rangle \neq 0,} though y {\displaystyle y} need not equal x {\displaystyle x} ; in other words, ...
Orthogonal vector
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Hence, one concludes the statement (the other implication is obvious): A finite-dimensional Lie algebra g {\displaystyle {\mathfrak {g}}} over a field of characteristic zero is solvable if and only if the derived algebra D g = {\displaystyle D{\mathfrak {g}}=} is nilpotent.Lie's theorem also establishes one direction ...
Lie's theorem
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In the context of chemistry, energy is an attribute of a substance as a consequence of its atomic, molecular or aggregate structure. Since a chemical transformation is accompanied by a change in one or more of these kinds of structures, it is invariably accompanied by an increase or decrease of energy of the substances...
Modern chemistry
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There are two algebraically equivalent approaches to calculating the Bornhuetter–Ferguson ultimate loss. In the first approach, undeveloped reported (or paid) losses are added directly to expected losses (based on an a priori loss ratio) multiplied by an estimated percent unreported. B F = L + E L R ⋅ E x p o s u r e ⋅...
Bornhuetter–Ferguson method
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The Goldston-Pintz-Yıldırım sieve (also called GPY sieve or GPY method) is a sieve method and variant of the Selberg sieve with generalized, multidimensional sieve weights. The sieve led to a series of important breakthroughs in analytic number theory. It is named after the mathematicians Dan Goldston, János Pintz and ...
GPY sieve
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The term "projective geometry" is used sometimes to indicate the generalised underlying abstract geometry, and sometimes to indicate a particular geometry of wide interest, such as the metric geometry of flat space which we analyse through the use of homogeneous coordinates, and in which Euclidean geometry may be embed...
Axioms of projective geometry
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In the field of biology, fluorescence microscopy has enabled resolution beyond the diffraction limit. The 2014 Nobel Prize in Chemistry was jointly awarded to Eric Betzig, Stefan Hell, and William E. Moerner for the development of super-resolved fluorescence microscopy. == References ==
Cryomicroscopy
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Susan Kathryn Gregurick is an American computational chemist. She is the associate director for data science at the National Institutes of Health (NIH). Gregurick is the director of the NIH Office of Data Science Strategy.
Susan K. Gregurick
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In differential topology, the Whitney immersion theorem (named after Hassler Whitney) states that for m > 1 {\displaystyle m>1} , any smooth m {\displaystyle m} -dimensional manifold (required also to be Hausdorff and second-countable) has a one-to-one immersion in Euclidean 2 m {\displaystyle 2m} -space, and a (not ne...
Whitney immersion theorem
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Therefore, a single universal U cannot clone a general quantum state. This proves the no-cloning theorem.
No-cloning theorem
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The field F is algebraically closed if and only if every polynomial p(x) of degree n ≥ 1, with coefficients in F, splits into linear factors. In other words, there are elements k, x1, x2, ..., xn of the field F such that p(x) = k(x − x1)(x − x2) ⋯ (x − xn). If F has this property, then clearly every non-constant polyno...
Algebraically closed
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Because the concept of a lattice can be axiomatised in terms of two operations ∧ {\displaystyle \wedge } and ∨ {\displaystyle \vee } satisfying certain identities, the category of all lattices constitute a variety (universal algebra), and thus there exist (by general principles of universal algebra) free objects within...
Free lattice
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Within the bounds of this model, many phenomena typically associated with strictly quantum-mechanical effects are present. These include (but are not limited to) entanglement, noncommutativity of measurements, teleportation, interference, the no-cloning and no-broadcasting theorems, and unsharp measurements. The toy mo...
Spekkens toy model
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The geographic panorama of the developments of the new biology was conditioned above all by preceding work. The US, where genetics had developed the most rapidly, and the UK, where there was a coexistence of both genetics and biochemical research of highly advanced levels, were in the avant-garde. Germany, the cradle o...
History of molecular biology
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The lake has been the subject of astrobiology research by NASA, the Canadian Space Agency, and research institutions from around the world. The research falls under the umbrella of the Pavilion Lake Research Project. The Pavilion Lake Research Project has used the site to help train Canadian Space Agency astronauts.
Pavilion Lake
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In six-dimensional geometry, a rectified 6-orthoplex is a convex uniform 6-polytope, being a rectification of the regular 6-orthoplex. There are unique 6 degrees of rectifications, the zeroth being the 6-orthoplex, and the 6th and last being the 6-cube. Vertices of the rectified 6-orthoplex are located at the edge-cent...
Birectified 6-orthoplex
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In the century after Hippocrates, at least four other mathematicians wrote their own Elements, steadily improving terminology and logical structure. In this way, Hippocrates' pioneering work laid the foundation for Euclid's Elements (c. 325 BC), which was to remain the standard geometry textbook for many centuries.
Hippocrates of Chios
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Phenol–chloroform extraction is a liquid-liquid extraction technique in molecular biology used to separate nucleic acids from proteins and lipids.
Phenol–chloroform extraction
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Nearly 200 packages are included in the distribution of Macaulay2 as of 2019, and notable package authors include Craig Huneke and Frank-Olaf Schreyer. The Journal of Software for Algebra and Geometry has published numerous packages and programs for Macaulay2.Macaulay2 has an interactive command-line interface used fro...
Macaulay computer algebra system
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In 1988 a group of researchers at the University of Iowa conducted a controlled experiment to evaluate the homo economicus model of behavior with groups of voluntarily recruited economics, accounting, and business students. These experimental results contradict the homo economicus model, suggesting that players in the ...
Dictator Game
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On September 22, 2020, ECW Press released Saved By Science: The Hope and Promise of Synthetic Biology. Kirkus Reviews said the book was "energetic and optimistic" and “shows how synthetic biology can be used to contend with major issues involving health, food, and the environment." An excerpt of Saved By Science: The H...
Mark J. Poznansky
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In particular, a defective matrix has one or more eigenvalues λ with algebraic multiplicity m > 1 (that is, they are multiple roots of the characteristic polynomial), but fewer than m linearly independent eigenvectors associated with λ. If the algebraic multiplicity of λ exceeds its geometric multiplicity (that is, the...
Defective matrix
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It is this empirical relation that links the formal theorems of the bond valence model to the real world and allows the bond valence model to be used to predict the real structure, geometry and properties of a compound. If the structure of a compound is known, the empirical bond valence - bond length correlation of Eq....
Bond valence method
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Islamic scholarship had inherited Aristotelian physics from the Greeks and during the Islamic Golden Age developed it further, especially placing emphasis on observation and a priori reasoning, developing early forms of the scientific method. With Aristotelian physics, physics was seen as lower than demonstrative mathe...
Islamic optics
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A consequence is the impossibility of an isometric transformation between surfaces of different Gaussian curvature. This means practically that a sphere or an ellipsoid cannot be transformed to a plane without distortion, what causes a fundamental problem in designing projections for geographical maps. An additional si...
Carl Friedrich Gauss
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A requirement that attention be paid to narrowing academic gaps between groups such as races, income, or gender. High school graduation examinations, which are a form of high-stakes testing that denies diplomas to students who do not meet the stated standards, such as being able to read at the eighth-grade level or do ...
Standards based education reform
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High local stresses can cause objects to fail more quickly, so engineers typically design the geometry to minimize stress concentrations. Material discontinuities, such as inclusions in metals, may also concentrate the stress. Inclusions on the surface of a component may be broken from machining during manufacture lead...
Stress riser
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Let us take the case that G is the Galois group of a field extension L/K. A factor system c in H2(G,L*) gives rise to a crossed product algebra: 31 A, which is a K-algebra containing L as a subfield, generated by the elements λ in L and ug with multiplication λ u g = u g λ g , {\displaystyle \lambda u_{g}=u_{g}\lambda ...
Crossed product algebra
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The following is a proof of half of the theorem for the simplified area D, a type I region where C1 and C3 are curves connected by vertical lines (possibly of zero length). A similar proof exists for the other half of the theorem when D is a type II region where C2 and C4 are curves connected by horizontal lines (again...
Green’s theorem
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Blechner has suggested that whenever disjunctive cognitions occur, the two aspects of cognition that are disjunctive are handled in different parts of the brain whose mutual integration is suppressed or shifted during sleep. Disjunctive cognitions between what the person looks like and who the person is suggest two bra...
Disjunctive cognition
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Robert David Kleinberg (also referred to as Bobby Kleinberg) is an American theoretical computer scientist and professor of Computer Science at Cornell University.
Robert Kleinberg
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Intelligent packet capture uses machine learning to filter and reduce the amount of network traffic captured. Traditional filtered packet capture relies on rules and policies which are manually configured to capture all potentially malicious traffic. Intelligent packet capture uses machine learning models, including fe...
Packet Capture Appliance
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Cytogenetics, the study of chromosomal material by analysis of G-Banded chromosomes, uses mitotic inhibitors extensively. In order to prepare a slide for cytogenetic study, a mitotic inhibitor is added to the cells being studied. This stops the cells during mitosis, while the chromosomes are still visible.
Microtubule inhibitor
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Accordingly, the dual notion to paraconsistency is called paracompleteness, and the "dual" of intuitionistic logic (a specific paracomplete logic) is a specific paraconsistent system called anti-intuitionistic or dual-intuitionistic logic (sometimes referred to as Brazilian logic, for historical reasons). The duality b...
Paraconsistent analysis
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Critics claimed in the 1980s and 1990s that Chomsky's purported linguistic evidence for poverty of the stimulus may have been false. Around the same time there was research in applied linguistics and neuroscience that rejected the idea of significant aspects of languages being innate and not learned. Some scholars work...
Poverty of the stimulus
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An online version of The Merck Index, including historic records and new updates not in the print edition, is commonly available through research libraries. It also includes an appendix with monographs on organic named reactions. The 15th edition was published in April 2013. Monographs in The Merck Index typically cont...
Merck Index
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This is pointing direction is important in extra-solar system neutrino astronomy. Along with time, position, and possibly direction, it's possible to infer the energy of the neutrino from the interactions. The number of photons emitted is related to the neutrino energy, and neutrino energy is important for measuring th...
Neutrino astronomy
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In organic chemistry, keto acids or ketoacids (also called oxo acids or oxoacids) are organic compounds that contain a carboxylic acid group (−COOH) and a ketone group (>C=O). In several cases, the keto group is hydrated. The alpha-keto acids are especially important in biology as they are involved in the Krebs citric ...
Keto acid
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For a given quarter circle with radius r one constructs the associated square ABCD with side length r. The quadratrix intersect the side AB in J with | A J ¯ | = 2 π r {\displaystyle \left|{\overline {AJ}}\right|={\tfrac {2}{\pi }}r} . Now one constructs a line segment JK of length r being perpendicular to AB. Then the...
Quadratrix of Hippias
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SAS: includes extensive ARIMA processing in its Econometric and Time Series Analysis system: SAS/ETS. IBM SPSS: includes ARIMA modeling in the Professional and Premium editions of its Statistics package as well as its Modeler package. The default Expert Modeler feature evaluates a range of seasonal and non-seasonal aut...
Differencing
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It was developed to teach children computational reasoning and thinking, and extends the Logo language by enabling the existence of many, many turtles at the same time. NetLogo is widely used not only in the K–12 environment, but also by researchers interested in the concept of agent-based modeling AgentCubes is a bloc...
Constructionist learning
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computational creativity Also artificial creativity, mechanical creativity, creative computing, or creative computation. A multidisciplinary endeavour that includes the fields of artificial intelligence, cognitive psychology, philosophy, and the arts. computational cybernetics The integration of cybernetics and computa...
Glossary of artificial intelligence
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Mathematical induction proves that Vn is finite for all n < ω: |V0| = 0. |Vn+1| = |Vn ∪ P(Vn)| ≤ |Vn| + 2 |Vn|, which is finite since Vn is finite by inductive hypothesis.Proof of Theorem 1: A set X enters Vω through P(Vn) for some n < ω, so X ⊆ Vn. Since Vn is finite, X is finite.
Axiom of limitation of size
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An electromagnetic metamaterial affects electromagnetic waves that impinge on or interact with its structural features, which are smaller than the wavelength. To behave as a homogeneous material accurately described by an effective refractive index, its features must be much smaller than the wavelength.The unusual prop...
Meta material
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This involves a transition from inertial navigation to satellite navigation using the GPS satellites. This also introduced the concept of actual navigation performance (ANP). Previously, flight crews would be notified of the system being used to calculate the position (radios, or inertial systems alone). Because of the...
Future Air Navigation System
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80,267
Computer algebra systems began to appear in the 1960s and evolved out of two quite different sources—the requirements of theoretical physicists and research into artificial intelligence. A prime example for the first development was the pioneering work conducted by the later Nobel Prize laureate in physics Martinus Vel...
Computer Algebra System
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In mid 2005, VINNOVA, the Knut and Alice Wallenberg Foundation and the Foundation for Strategic Research (SSF) established the Swedish research node of the SGC. Experimental activities started at the Karolinska Institutet in Stockholm, led by Pär Nordlund and Johan Weigelt. Together, the three SGC laboratories contribu...
Structural Genomics Consortium
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Bent's rule provides a qualitative estimate as to how these hybridised orbitals should be constructed. Bent's rule is that in a molecule, a central atom bonded to multiple groups will hybridise so that orbitals with more s character are directed towards electropositive groups, while orbitals with more p character will ...
Bent's rule
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Rebecca Jane Miriam Goss is a professor of organic chemistry at the University of St. Andrews who won the 2006 Royal Society of Chemistry Meldola Medal. She is known for combining synthetic biology and chemistry for medicinal purposes.
Rebecca Goss (chemist)
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Winding numbers play a very important role throughout complex analysis (c.f. the statement of the residue theorem). In the context of complex analysis, the winding number of a closed curve γ {\displaystyle \gamma } in the complex plane can be expressed in terms of the complex coordinate z = x + iy. Specifically, if we ...
Winding number
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Until we have done this, We do not know the result of the addition. We do not know whether the result of the addition is larger or smaller than a given number (for instance, we do not know whether it is positive or negative).A carry look-ahead adder can reduce the delay. In principle the delay can be reduced so that it...
Carry-save adder
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495 BC) was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus. Theaetetus (c. 417 – c.
Timeline of ancient Greek mathematicians
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Interesting examples of multiplicatively closed harmonious sets of real numbers arise in the theory of diophantine approximation. Let G be the additive group of real numbers, θ >1, and the set Λ consist of all finite sums of different powers of θ. Then Λ is harmonious if and only if θ is a Pisot number. In particular, ...
Harmonious set
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It is unclear whether genetics plays a role; however, there are many neurochemical and hormonal changes in individuals with depersonalization disorder. DPDR may be associated with dysregulation of the hypothalamic-pituitary-adrenal axis, the area of the brain involved in the "fight-or-flight" response. Patients demonst...
Depersonalization-derealization disorder
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Astrobotany is an applied sub-discipline of botany that is the study of plants in space environments. It is a branch of astrobiology and botany. Astrobotany concerns both the study of extraterrestrial vegetation discovery, as well as research into the growth of terrestrial vegetation in outer space by humans.It has bee...
Astrobotany
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The deep model was first proposed by Busse in 1976. His model was based on another well-known feature of fluid mechanics, the Taylor–Proudman theorem. It holds that in any fast-rotating barotropic ideal liquid, the flows are organized in a series of cylinders parallel to the rotational axis. The conditions of the theor...
Oval BA
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In homological algebra, the mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it is a kind of combined kernel and cokernel: if the chain complexes take their terms in an abelian category, so that we can talk about coho...
Mapping cone of complexes
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For this reason, it is common within the field of chemistry to quantify the enthalpy of reaction in units of kJ·mol−1.Other units sometimes used to describe reaction energetics are kilocalories per mole (kcal·mol−1), electron volts per particle (eV), and wavenumbers in inverse centimeters (cm−1). 1 kJ·mol−1 is approxim...
Joule per mole
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Nearly all slicers have some additional features, like: Infill: solid objects need a large amount of valuable material (filament, ...) and print time. The slicer can automatically convert solid volumes to hollow ones, saving costs and time. The hollow object can be partially filled by internal structures, as internal w...
Slicer (3D printing)
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Statistical inference is the process of drawing conclusions from data that are subject to random variation, for example, observational errors or sampling variation. Initial requirements of such a system of procedures for inference and induction are that the system should produce reasonable answers when applied to well-...
Mathematical Statistics
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IBO analysis has been employed in main group chemistry to elucidate oftentimes non-trivial electronic structure. The bonding of phosphaaluminirenes was, for example, investigated showing a 3-center-2π-electron bond of the AlCP cycle. Further application was found for confirming the distonic nature of a phosphorus conta...
Intrinsic bond orbitals
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In chemistry, a transition metal (or transition element) is a chemical element in the d-block of the periodic table (groups 3 to 12), though the elements of group 12 (and less often group 3) are sometimes excluded. The lanthanide and actinide elements (the f-block) are called inner transition metals and are sometimes c...
Transition-metal catalyst
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Pacesetters organizations include some very prestigious companies such as AT&T, Intel, Microsoft, Google, Georgia Tech, Pfizer, and IBM to name a few. These are a few examples of their results due to the work with Pacesetters: Google: built a new programs for undergraduate women and held a career development panel of e...
Gender disparity in computing
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In cellular biology, inclusions are diverse intracellular non-living substances (ergastic substances) that are not bound by membranes. Inclusions are stored nutrients/deutoplasmic substances, secretory products, and pigment granules. Examples of inclusions are glycogen granules in the liver and muscle cells, lipid drop...
Inclusion (cell)
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In the mathematical theory of Kleinian groups, the Ahlfors finiteness theorem describes the quotient of the domain of discontinuity by a finitely generated Kleinian group. The theorem was proved by Lars Ahlfors (1964, 1965), apart from a gap that was filled by Greenberg (1967). The Ahlfors finiteness theorem states tha...
Ahlfors finiteness theorem
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"Discrete Dynamic Programming". Annals of Mathematical Statistics. 33 (2): 719–726. doi:10.1214/aoms/1177704593.
David Blackwell
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Waleed Abdalati, American, director of Cooperative Institute for Research in Environmental Studies, former chief scientist of NASA Nerilie Abram (1977-), Australian paleoclimatologist, at Australian National University Ernest Afiesimama, Nigerian weatherman, former senior associate of the International Centre for Theor...
List of climate scientists
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Proof by exhaustion, also known as proof by cases, proof by case analysis, complete induction or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases or sets of equivalent cases, and where each type of case is checked to see if the proposit...
Proof by exhaustion
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There it decays into technetium-99m, which is separated and used for testing. NRU produced xenon-133, iodine-131 and iodine-125, which are used in a variety of diagnostic and therapeutic applications. Carbon-14 produced in NRU was sold to chemistry, bioscience and environmental labs where it is used as a tracer.
National Research Universal reactor
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The mobility transition is intended to bring about a qualitative change in traffic behaviour (Verkehrsverhalten), in particular avoiding and relocating traffic. An efficient design of the traffic systems without restricting mobility should be achieved. Energy transition in traffic (Energiewende im Verkehr, see also pha...
Mobility transition
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John was a leading figure in the plasma physics community for more than four decades, with his contributions to science spanning all of plasma physics. He performed seminal work on magnetic fusion, inertial confinement fusion, space plasmas, plasma astrophysics, free-electron lasers, and basic plasma physics. He also p...
John M. Dawson
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History of Logic (formal reasoning is an important precursor of AI) History of machine learning (timeline) History of machine translation (timeline) History of natural language processing History of optical character recognition (timeline)
Outline of artificial intelligence
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Mote was born in San Francisco, California and received his bachelor's degree, masters, and doctorate degrees from the University of California, Berkeley in mechanical engineering. After a postdoctoral year in England and three years as an assistant professor at the Carnegie Institute of Technology in Pittsburgh, he re...
C. Daniel Mote Jr.
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The Research Parasite Award is an honor given annually at the Pacific Symposium on Biocomputing to recognize scientists who study previously-published data in ways not anticipated by the researchers who first generated it. The tongue-in-cheek name of the award refers to a New England Journal of Medicine editorial that ...
Research Parasite Award
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FluidFM has been used to isolate mammalian cells, yeast and bacteria.By measuring the adhesion of single cells, important information for different topics in biology and materialscience can be obtained. With FluidFM it is possible to increase the rate in which these experiments can be performed, and even to assess the ...
Fluidic force microscopy
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Catastrophe Theory and its Applications, with Tim Poston, Pitman, 1978. ISBN 0-273-01029-8. Complex Analysis: The Hitchhiker's Guide to the Plane, I. Stewart, D Tall. 1983 ISBN 0-521-24513-3 Algebraic number theory and Fermat's last theorem, 3rd Edition, I. Stewart, D Tall. A. K. Peters (2002) ISBN 1-56881-119-5 Galois...
Ian Stewart (mathematician)
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There are several commercial topology optimization software on the market. Most of them use topology optimization as a hint how the optimal design should look like, and manual geometry re-construction is required. There are a few solutions which produce optimal designs ready for Additive Manufacturing.
Topology optimisation
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Organophosphorus chemistry is the scientific study of the synthesis and properties of organophosphorus compounds, which are organic compounds containing phosphorus. They are used primarily in pest control as an alternative to chlorinated hydrocarbons that persist in the environment. Some organophosphorus compounds are ...
Carbon–phosphorus bond
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