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95,900 | These models can also be used as physics objects or interactive props. The editor also features an in-depth logic I/O system that can be used to create complex interactive elements. Signals to trigger different responses or change the state of an entity can be sent between entities such as buttons, NPCs, intangible tri... | Source SDK | 0.778504 |
95,901 | The Hammer Editor, the engine's official level editor, uses rendering and compiling tools included in the SDK to create maps using the binary space partitioning (BSP) method. Level geometry is created with 3D polygons called brushes; each face can be assigned a texture which also defines the properties of the surface s... | Source SDK | 0.778504 |
95,902 | "Possible Microwave Mechanisms of the Mammalian Nervous System", T-I-T J Life Sci 9: 29–51, 1979. H. Frolich. "The Biological Effects of Microwaves and Related Questions", Adv Electronics Electron Physics 53: 85–152, 1980. | Microwave auditory effect | 0.778503 |
95,903 | Frey. "Behavioral Biophysics", Psychol Bull 63(5): 322–37, 1965. F.A. | Microwave auditory effect | 0.778503 |
95,904 | Linear accelerators are calibrated to give a particular absorbed dose under particular conditions, although the definition and measurement configuration may vary among medical clinics.The most common definitions are: The monitor chamber reads 100 MU when an absorbed dose of 1 gray (100 rads) is delivered to a point at ... | Monitor unit | 0.778503 |
95,905 | Saint-Venant's principle, named after Adhémar Jean Claude Barré de Saint-Venant, a French elasticity theorist, may be expressed as follows: ... the difference between the effects of two different but statically equivalent loads becomes very small at sufficiently large distances from load. The original statement was pub... | Saint-Venant's principle | 0.778502 |
95,906 | If one of the discs is disjoint from the others then it contains exactly one eigenvalue. If however it meets another disc it is possible that it contains no eigenvalue (for example, A = ( 0 1 4 0 ) {\displaystyle A=\left({\begin{smallmatrix}0&1\\4&0\end{smallmatrix}}\right)} or A = ( 1 − 2 1 − 1 ) {\displaystyle A=\lef... | Gershgorin circle theorem | 0.778501 |
95,907 | One way to interpret this theorem is that if the off-diagonal entries of a square matrix over the complex numbers have small norms, the eigenvalues of the matrix cannot be "far from" the diagonal entries of the matrix. Therefore, by reducing the norms of off-diagonal entries one can attempt to approximate the eigenvalu... | Gershgorin circle theorem | 0.778501 |
95,908 | The eigenvalues of A must also lie within the Gershgorin discs Cj corresponding to the columns of A.Proof. Apply the Theorem to AT while recognizing that the eigenvalues of the transpose are the same as those of the original matrix. Example. For a diagonal matrix, the Gershgorin discs coincide with the spectrum. Conver... | Gershgorin circle theorem | 0.778501 |
95,909 | Such a disc is called a Gershgorin disc. Theorem. | Gershgorin circle theorem | 0.778501 |
95,910 | In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician Semyon Aronovich Gershgorin in 1931. Gershgorin's name has been transliterated in several different ways, including Geršgorin, Gerschgorin, Gershgorin, Hershhorn, and Hi... | Gershgorin circle theorem | 0.778501 |
95,911 | Use the Gershgorin circle theorem to estimate the eigenvalues of: A = . {\displaystyle A={\begin{bmatrix}10&-1&0&1\\0.2&8&0.2&0.2\\1&1&2&1\\-1&-1&-1&-11\\\end{bmatrix}}.} Starting with row one, we take the element on the diagonal, aii as the center for the disc. We then take the remaining elements in the row and apply... | Gershgorin circle theorem | 0.778501 |
95,912 | It would be good to reduce the condition number of A. This can be done by preconditioning: A matrix P such that P ≈ A−1 is constructed, and then the equation PAx = Pb is solved for x. Using the exact inverse of A would be nice but finding the inverse of a matrix is something we want to avoid because of the computationa... | Gershgorin circle theorem | 0.778501 |
95,913 | The Gershgorin circle theorem is useful in solving matrix equations of the form Ax = b for x where b is a vector and A is a matrix with a large condition number. In this kind of problem, the error in the final result is usually of the same order of magnitude as the error in the initial data multiplied by the condition ... | Gershgorin circle theorem | 0.778501 |
95,914 | It developed "Always-on AI", a term coined by Elad Walach that refers to a type of artificial intelligence that is "Always-on—constantly running in the background and automatically analyzing medical imaging data, identifying urgent findings, and sparing radiologists from "drowning" in vast amounts of irrelevant data.Ai... | Aidoc | 0.778501 |
95,915 | Aidoc has developed a suite of artificial intelligence products that flag both time-sensitive and time-consuming (for the radiologist) abnormalities across the body. The algorithms are developed with large quantities of data to provide diagnostic aid for a broad set of pathologies. The company offers an array of algori... | Aidoc | 0.778501 |
95,916 | A clinical study on Aidoc’ accuracy of deep convolutional neural networks for the detection of pulmonary embolism (PE) on CT pulmonary angiograms (CTPAs) was performed by the University Hospital of Basel and presented at the European Congress of Radiology, showing that the Aidoc algorithm reached 93% sensitivity and 95... | Aidoc | 0.778501 |
95,917 | The Eltonian niche is an ecological niche that emphasizes the functional attributes of animals and their corresponding trophic position. This was the definition Eugene Odum popularized in his analogy of the niche of a species with its profession in the ecosystem as opposed to the habitat being its address. The definiti... | Eltonian niche | 0.7785 |
95,918 | The field trips and experiments he did with his high school students would become a blueprint for the hands-on methods of teaching and learning he would later bring to the Exploratorium. : 115–121 When Oppenheimer was invited to join the University of Colorado's physics department in 1959, he found himself less interes... | Exploratorium | 0.778499 |
95,919 | The Bechtel Central gallery houses many of the "classic" Exploratorium exhibits, including many of those that have been on display since the very earliest years of the museum. It includes a mix of new and old exhibits that investigate physics and the perception of light, color, and sound, such as Sound Bite (a demonstr... | Exploratorium | 0.778499 |
95,920 | The first proof of the theorem was given by Carlo Severini in 1910: he used the result as a tool in his research on series of orthogonal functions. His work remained apparently unnoticed outside Italy, probably due to the fact that it is written in Italian, appeared in a scientific journal with limited diffusion and wa... | Egorov's Theorem | 0.778497 |
95,921 | Nikolai Luzin's generalization of the Severini–Egorov theorem is presented here according to Saks (1937, p. 19). | Egorov's Theorem | 0.778497 |
95,922 | In measure theory, an area of mathematics, Egorov's theorem establishes a condition for the uniform convergence of a pointwise convergent sequence of measurable functions. It is also named Severini–Egoroff theorem or Severini–Egorov theorem, after Carlo Severini, an Italian mathematician, and Dmitri Egorov, a Russian p... | Egorov's Theorem | 0.778497 |
95,923 | Under the same hypothesis of the abstract Severini–Egorov theorem suppose that A is the union of a sequence of measurable sets of finite μ-measure, and (fn) is a given sequence of M-valued measurable functions on some measure space (X,Σ,μ), such that (fn) converges μ-almost everywhere on A to a limit function f, then A... | Egorov's Theorem | 0.778497 |
95,924 | Let (fn) be a sequence of M-valued measurable functions, where M is a separable metric space, on some measure space (X,Σ,μ), and suppose there is a measurable subset A ⊆ X, with finite μ-measure, such that (fn) converges μ-almost everywhere on A to a limit function f. The following result holds: for every ε > 0, there ... | Egorov's Theorem | 0.778497 |
95,925 | It is sufficient to consider the case in which the set A is itself of finite μ-measure: using this hypothesis and the standard Severini–Egorov theorem, it is possible to define by mathematical induction a sequence of sets {Ak}k=1,2,... such that μ ( A ∖ ⋃ k = 1 N A k ) ≤ 1 N {\displaystyle \mu \left(A\setminus \bigcup ... | Egorov's Theorem | 0.778497 |
95,926 | The university also has several research institutes off its campuses within Zhejiang, which include the Innovation Institute for Artificial Intelligence in Medicine, Zhejiang University Innovation Institute International, Innovative Institute of Basic Medical Sciences of Zhejiang University in Hangzhou, the Institute o... | Zhejiang University | 0.778496 |
95,927 | The gigantic, five-arched South Gate was built with donations from alumni, but widely regarded unfit for the purpose among ZJU students. In a public poll in 2021, the South Gate was voted as the ugliest building in China. Zijingang Campus boasts a large assortment of academic departments and schools, including College ... | Zhejiang University | 0.778496 |
95,928 | Zhejiang University also has prominent foreign faculty members. Zhejiang University has 11 State Key Laboratories, as one of the universities with most SKLs in China, which include: The university also has three State Specialized Labs, including the State Specialized Lab of Secondary Resources Chemical Engineering, the... | Zhejiang University | 0.778496 |
95,929 | Yuquan campus is the campus of engineering, computer science, and the physical sciences. Most students at the Yuquan campus are graduate students within these academic disciplines. The Yuquan campus was the main campus of Zhejiang University until the Zijingang campus was built in 2002. | Zhejiang University | 0.778496 |
95,930 | The government planned to merge Hangzhou College of Engineering with a metallurgy school in Deqing, yet the Great Chinese Famine stopped the relocation plan. The institutes of Mechanical & Electrical Engineering that merged into Zhejiang University separated from Zhejiang University in 1964 to form an independent Zheji... | Zhejiang University | 0.778496 |
95,931 | In the same year, as decided by Vice President Liu, Zhejiang University again started to offer sciences education in addition to the remaining engineering education, despite the prevailing Soviet influence on higher education where specialized universities are preferred. However, the Anti-Rightist Campaign and the Grea... | Zhejiang University | 0.778496 |
95,932 | Haining International Campus (simplified Chinese: 海宁国际校区; traditional Chinese: 海寧國際校區) is located in the Zhejiang city of Haining. Clusters of international cooperative partners and institutions reside at this campus, which opened in 2016 as part of Zhejiang University. Student studying at the campus are also enrolled ... | Zhejiang University | 0.778496 |
95,933 | As of 2021, the U.S. News & World Report placed ZJU in the global Top 50 universities for "Agricultural Sciences", "Biotechnology and Applied Microbiology", "Chemical Engineering", "Chemistry", "Civil Engineering", "Computer Science", "Condensed Matter Physics", "Electrical and Electronic Engineering", "Energy and Fuel... | Zhejiang University | 0.778496 |
95,934 | The Faculty of Science was a combination of the sciences departments at Hangzhou University and Zhejiang University School of Mathematical Sciences Department of Physics Department of Chemistry School of Earth Sciences Department of Psychology and Behavioral Sciences | Zhejiang University | 0.778496 |
95,935 | The School of Basic Medical Sciences offers a joint undergraduate programs in biomedicine and bioinformatics at International Campus. Under the School of Medicine, there are seven top-level hospitals. In the fourth round of CUSR, its clinical medicine, pharmacy and basic medicine are rated A+, A and A-, respectively. C... | Zhejiang University | 0.778496 |
95,936 | The Faculty of Information consists of most key departments of Zhejiang University before the 1998 merger. The School of Software Technology was founded in 2001 and is located in both Hangzhou and Ningbo. Entry into the College of Computer Science and Technology is considered to be one of the most competitive in China.... | Zhejiang University | 0.778496 |
95,937 | The Faculty of Agriculture, Life and Environment Science (FALE) consists of most departments of Zhejiang Agricultural University before the 1998 merger. In the fourth round of CUSR, among the subjects that the faculty offers, Agricultural Engineering, Horticulture, Agricultural Resources and environment, and Plant prot... | Zhejiang University | 0.778496 |
95,938 | Its medical school merged with Chekiang Medical College to became Zhejiang Medical University. Its agricultural and horticultural departments became an independent Zhejiang Agricultural University. Later the year, the chemical engineering departments of Zhejiang University, and some the other technological parts went t... | Zhejiang University | 0.778496 |
95,939 | School of Mechanical Engineering School of Material Science and Engineering College of Energy Engineering College of Electrical Engineering College of Civil Engineering and Architecture College of Chemical and Biological Engineering Ocean College School of Aeronautics and Astronautics Department of Polymer Science and ... | Zhejiang University | 0.778496 |
95,940 | The Robotic Optical Transient Search Experiment (ROTSE) is a multi-telescope experiment designed to observe the optical afterglow of gamma-ray bursts. The experiment currently consists of four telescopes located in Australia, Namibia, Turkey, and at the McDonald Observatory near Fort Davis, Texas.The Namibian telescope... | Robotic Optical Transient Search Experiment | 0.778495 |
95,941 | This leads to an increase in the extracellular concentrations of these neurochemicals and therefore an alteration in neurochemistry and neurotransmission. This action is thought to be the primary mediator in phenelzine's therapeutic benefits. Phenelzine and its metabolites also inhibit at least two other enzymes to a l... | Phenelzine sulfate | 0.778495 |
95,942 | For any locally compact Hausdorff topological space X, the space C0(X) of continuous complex-valued functions on X which vanish at infinity is in a natural way a commutative C*-algebra: The structure of algebra over the complex numbers is obtained by considering the pointwise operations of addition and multiplication. ... | Gelfand representation | 0.778493 |
95,943 | One of the most significant applications is the existence of a continuous functional calculus for normal elements in C*-algebra A: An element x is normal if and only if x commutes with its adjoint x*, or equivalently if and only if it generates a commutative C*-algebra C*(x). By the Gelfand isomorphism applied to C*(x)... | Gelfand representation | 0.778493 |
95,944 | The spectrum of a commutative C*-algebra can also be viewed as the set of all maximal ideals m of A, with the hull-kernel topology. (See the earlier remarks for the general, commutative Banach algebra case.) For any such m the quotient algebra A/m is one-dimensional (by the Gelfand-Mazur theorem), and therefore any a i... | Gelfand representation | 0.778493 |
95,945 | Let A be a commutative C*-algebra and let X be the spectrum of A. Let γ: A → C 0 ( X ) {\displaystyle \gamma :A\to C_{0}(X)} be the Gelfand representation defined above. Theorem. The Gelfand map γ is an isometric *-isomorphism from A onto C0(X). See the Arveson reference below. | Gelfand representation | 0.778493 |
95,946 | In mathematics, the Gelfand representation in functional analysis (named after I. M. Gelfand) is either of two things: a way of representing commutative Banach algebras as algebras of continuous functions; the fact that for commutative C*-algebras, this representation is an isometric isomorphism.In the former case, one... | Gelfand representation | 0.778493 |
95,947 | Tacit Networks, Inc. is an I.T. company based in South Plainfield, New Jersey. It was founded in 2000. Their product lines are: iShared which provides Wide area file services and WAN optimization. | Tacit Networks | 0.778493 |
95,948 | Asymmetric reduction of a key bicyclic sulfone intermediate was accomplished with the CBS oxazaborolidine catalyst containing Me as the R’ group. Asymmetric reduction of a 1,1,1-trichloro-2-keto compound is the first stage of the Corey–Link reaction for synthesis of amino acids and related structures with a choice of e... | Corey–Itsuno reduction | 0.778493 |
95,949 | Redis popularized the idea of a system that can be considered a store and a cache at the same time. It was designed so that data is always modified and read from the main computer memory, but also stored on disk in a format that is unsuitable for random data access. The formatted data is only reconstructed into memory ... | Redis | 0.778493 |
95,950 | The bacterial sroH RNA is a non-coding RNA that is 160 nucleotides in length. The function of this family is unknown. An SroH gene deletion strain was shown to be sensitive to cell wall stress.SroE and SroD were identified in the same bioinformatics search. | SroH RNA | 0.778492 |
95,951 | 5 research labs were attached to the ENSERG: ICP: Institut de la Communication Parlée (Institute for Spoken Communication). IMEP: Institut de Microélectronique, Electromagnétisme et Photonique (Institute for Microelectronics, Electromagnetism and Photonics). LIS: Laboratoire des Images et des Signaux (Picture and Signa... | ENSERG | 0.778492 |
95,952 | Octyl glucoside (n-octyl-β-d-glucoside) is a nonionic surfactant frequently used to solubilise integral membrane proteins for studies in biochemistry. Structurally, it is a glycoside derived from glucose and octanol. Like Genapol X-100 and Triton X-100, it is a nonphysiological amphiphile that makes lipid bilayers less... | Octyl glucoside | 0.77849 |
95,953 | Component design: Design of components made of ceramics, metals or composites using finite element (FE) modelling CMC components: Design and fabrication of CMC components using carbon, silicon carbide or oxide ceramic fibres 3D printing: manufacturing of prototypes and small series from ceramics, metals or metal-cerami... | Fraunhofer-Center for High Temperature Materials and Design HTL | 0.77849 |
95,954 | In addition, processes such as 3D printing are also available at the Fraunhofer Centre HTL for the production of metal and ceramic components with complex geometries. To test high-temperature materials and optimise their manufacturing processes, the Fraunhofer Centre HTL is developing ThermoOptic Measuring (TOM) furnac... | Fraunhofer-Center for High Temperature Materials and Design HTL | 0.77849 |
95,955 | The LFFC's are not limited to a liquid feed and in certain cases, depending on the geometry and reactants, gases can also be advantageous. Current designs inject the fuel and oxidizing agent into two separate streams which flow side by side. | Membraneless Fuel Cells | 0.778489 |
95,956 | Embodied cognitive science borrows heavily from embodied philosophy and the related research fields of cognitive science, psychology, neuroscience and artificial intelligence. Contributors to the field include: From the perspective of neuroscience, Gerald Edelman of the Neurosciences Institute at La Jolla, Francisco Va... | Embodied cognitive science | 0.778489 |
95,957 | Clark distinguishes between two kinds of vision, animate and pure vision. Pure vision is an idea that is typically associated with classical artificial intelligence, in which vision is used to create a rich world model so that thought and reason can be used to fully explore the inner model. In other words, pure vision ... | Embodied cognitive science | 0.778489 |
95,958 | The proposed solutions are to have the agent exploit the inherent physics of its environment, to exploit the constraints of its niche, and to have agent morphology based on parsimony and the principle of Redundancy. Redundancy reflects the desire for the error-correction of signals afforded by duplicating like channels... | Embodied cognitive science | 0.778489 |
95,959 | In the formation of general principles of intelligent behavior, Pfeifer intended to be contrary to older principles given in traditional artificial intelligence. The most dramatic difference is that the principles are applicable only to situated robotic agents in the real world, a domain where traditional artificial in... | Embodied cognitive science | 0.778489 |
95,960 | Fibrous materials such as wool or cotton easily form aligned bundles, and were among the first biological macromolecules studied by X-ray diffraction, notably by William Astbury in the early 1930s. Fiber diffraction data led to several important advances in the development of structural biology, e.g., the original mode... | Fiber diffraction | 0.778488 |
95,961 | Materials science considers fiber symmetry a simplification, because almost the complete obtainable structure information is in a single two-dimensional (2D) diffraction pattern exposed on photographic film or on a 2D detector. 2 instead of 3 co-ordinate directions suffice to describe fiber diffraction. The ideal fiber... | Fiber diffraction | 0.778488 |
95,962 | There up to 4 images (red spots) of the monitored reflexion can show up. The position of the reflexion images is a function of the orientation of the fiber in the primary beam (Polanyi equation). Inverted, from the positions of the reflexion images the orientation of the fiber can be determined, if for the Miller index... | Fiber diffraction | 0.778488 |
95,963 | The animation shows the geometry of fiber diffraction. It is based on the notions proposed by Polanyi. Reference direction is the primary beam (label: X-ray). | Fiber diffraction | 0.778488 |
95,964 | QUIET was located at an elevation of 5,080 metres (16,700 feet) at Llano de Chajnantor Observatory in the Chilean Andes. It began observing in late 2008 and finished observing in December 2010.QUIET was the result of an international collaboration that had its origins in the CAPMAP, Cosmic Background Imager (CBI) and Q... | QUIET telescope | 0.778487 |
95,965 | QUIET was an astronomy experiment to study the polarization of the cosmic microwave background radiation. QUIET stands for Q/U Imaging ExperimenT. The Q/U in the name refers to the ability of the telescope to measure the Q and U Stokes parameters simultaneously. | QUIET telescope | 0.778487 |
95,966 | For example, G(4) OEIS: A056193 starts as follows: Elements of G(4) continue to increase for a while, but at base 3 ⋅ 2 402 653 209 {\displaystyle 3\cdot 2^{402\,653\,209}} , they reach the maximum of 3 ⋅ 2 402 653 210 − 1 {\displaystyle 3\cdot 2^{402\,653\,210}-1} , stay there for the next 3 ⋅ 2 402 653 209 {\displays... | Goodstein function | 0.778484 |
95,967 | But P(m)(n) is calculated directly from G(m)(n). Hence the sequence G(m) must terminate as well, meaning that it must reach 0. While this proof of Goodstein's theorem is fairly easy, the Kirby–Paris theorem, which shows that Goodstein's theorem is not a theorem of Peano arithmetic, is technical and considerably more di... | Goodstein function | 0.778484 |
95,968 | Goodstein's theorem can be proved (using techniques outside Peano arithmetic, see below) as follows: Given a Goodstein sequence G(m), we construct a parallel sequence P(m) of ordinal numbers in Cantor normal form which is strictly decreasing and terminates. A common misunderstanding of this proof is to believe that G(m... | Goodstein function | 0.778484 |
95,969 | Goodstein sequences are defined in terms of a concept called "hereditary base-n notation". This notation is very similar to usual base-n positional notation, but the usual notation does not suffice for the purposes of Goodstein's theorem. In ordinary base-n notation, where n is a natural number greater than 1, an arbit... | Goodstein function | 0.778484 |
95,970 | Group homology is the left derived functor of taking coinvariants ( − ) G: k -Mod → k -Mod {\displaystyle (-)_{G}:k{\text{-Mod}}\to k{\text{-Mod}}} which is the same as k ⊗ k − {\displaystyle k\otimes _{k}-} . Lie algebra homology is the left derived functor of taking coinvariants g -Mod → k -Mod , M ↦ M / {\display... | Right derived functor | 0.778474 |
95,971 | In molecular biology, the ELFV dehydrogenase family of enzymes include glutamate, leucine, phenylalanine and valine dehydrogenases. These enzymes are structurally and functionally related. They contain a Gly-rich region containing a conserved Lys residue, which has been implicated in the catalytic activity, in each cas... | ELFV dehydrogenase | 0.778474 |
95,972 | The Washington State Department of Ecology also published a booklet explaining why wood smoke can be dangerous. It explains that human lung and respiratory systems are unable to filter particulates emitted by wood combustion, which penetrate deeply into the lungs. For months, carcinogens can continue to cause changes a... | Fire grate | 0.778472 |
95,973 | Recently, a DNA polymerase derived from these bacteria, Bst polymerase, has become important in molecular biology applications. Bst polymerase has a helicase-like activity, making it able to unwind DNA strands. Its optimum functional temperature is between 60 and 65 °C and it is denatured at temperatures above 70 °C. T... | Bacillus stearothermophilus | 0.778471 |
95,974 | Sergey Solovyov (Russian: Серге́й Ю́рьевич Соловьёв) (born 1955) is a Russian mathematician, Dr.Sc., Professor, a professor at the Faculty of Computer Science at the Moscow State University.He graduated from the faculty MSU CMC (1977). He defended the thesis «Mathematical methods and principles of building automated kn... | Sergey Solovyov (mathematician) | 0.77847 |
95,975 | The entropy rate may be used to estimate the complexity of stochastic processes. It is used in diverse applications ranging from characterizing the complexity of languages, blind source separation, through to optimizing quantizers and data compression algorithms. For example, a maximum entropy rate criterion may be use... | Source information rate | 0.778468 |
95,976 | Quake also lacked the option to disable perspective correction, thus eliminating that potential speed boost for FPU-weak CPUs. This potential speed boost would have benefited not just Cyrix's users, but also users of AMD's K5 and especially of the 486. Quake's optimization for the Pentium went beyond FPU usage and cate... | Cyrix | 0.778467 |
95,977 | Image segmentation or identification of lesions can be achieved through machine learning. In deep learning, with a convolutional neural network, the mapping function can be specified by the network. ML and DL improve image resolution as well as imaging speed. | Real-time MRI | 0.778467 |
95,978 | Image reconstruction in RT-MRI benefits from machine learning (ML) or deep learning (DL). A nonlinear kernel, or mapping function, can be developed from the ACS to fill in k-space data and generate the final image. This process as a whole significantly accelerates the MRI process. | Real-time MRI | 0.778467 |
95,979 | Lastly, within parallel image reconstruction there is another factor to consider, which is the signal to noise ratio (SNR). The SNR for parallel imaging can be calculated using the following equation: S N R p a r a l l e l = S N R M R I g R {\displaystyle SNR_{parallel}={\frac {SNR_{MRI}}{g{\sqrt {R}}}}} Where R {\disp... | Real-time MRI | 0.778467 |
95,980 | Organozirconium chemistry is key to Ziegler–Natta catalysts, used to produce polypropylene. This application exploits the ability of zirconium to reversibly form bonds to carbon. Zirconocene dibromide ((C5H5)2ZrBr2), reported in 1952 by Birmingham and Wilkinson, was the first organozirconium compound. Schwartz's reagen... | Zirconium monoxide | 0.778467 |
95,981 | The abelian group Q / Z {\displaystyle \mathbb {Q} /\mathbb {Z} } is divisible and therefore an injective Z {\displaystyle \mathbb {Z} } -module. Furthermore it has the following important property: Let G {\displaystyle G} be an abelian group and g ∈ G {\displaystyle g\in G} nonzero. Then there exists a group homomorph... | Character module | 0.778467 |
95,982 | With the previous property this module M ∗ {\displaystyle M^{*}} is injective, hence every right R {\displaystyle R} -module is isomorphic to a submodule of an injective module. (Baer's Theorem) A left R {\displaystyle R} -module N {\displaystyle N} is injective if and only if there exists a free M {\displaystyle M} su... | Character module | 0.778467 |
95,983 | Let M {\displaystyle M} be a left module over a ring R {\displaystyle R} and M ∗ {\displaystyle M^{*}} the associated character module. The module M {\displaystyle M} is flat if and only if M ∗ {\displaystyle M^{*}} is injective (Lambek's Theorem). If M {\displaystyle M} is free, then M ∗ {\displaystyle M^{*}} is an in... | Character module | 0.778467 |
95,984 | In mathematics, especially in the area of abstract algebra, every module has an associated character module. Using the associated character module it is possible to investigate the properties of the original module. One of the main results discovered by Joachim Lambek shows that a module is flat if and only if the asso... | Character module | 0.778467 |
95,985 | In mathematics, mimesis is the quality of a numerical method which imitates some properties of the continuum problem. The goal of numerical analysis is to approximate the continuum, so instead of solving a partial differential equation one aims to solve a discrete version of the continuum problem. Properties of the con... | Mimesis (mathematics) | 0.778467 |
95,986 | Krypton (along with xenon) is also used to fill incandescent lamps to reduce filament evaporation and allow higher operating temperatures.Krypton's white discharge is sometimes used as an artistic effect in gas discharge "neon" tubes. Krypton produces much higher light power than neon in the red spectral line region, a... | Krypton | 0.778464 |
95,987 | Krypton was discovered in Britain in 1898 by William Ramsay, a Scottish chemist, and Morris Travers, an English chemist, in residue left from evaporating nearly all components of liquid air. Neon was discovered by a similar procedure by the same workers just a few weeks later. William Ramsay was awarded the 1904 Nobel ... | Krypton | 0.778464 |
95,988 | Like the other noble gases, krypton is chemically highly unreactive. The rather restricted chemistry of krypton in the +2 oxidation state parallels that of the neighboring element bromine in the +1 oxidation state; due to the scandide contraction it is difficult to oxidize the 4p elements to their group oxidation state... | Krypton | 0.778464 |
95,989 | Note that no averaging over initial states whatsoever has been performed, nor has anything resembling the H-theorem been invoked. Additionally, one can also derive the appropriate Bose–Einstein or Fermi–Dirac distributions, if one imposes the appropriate commutation relations for the particles comprising the gas.Curren... | Eigenstate thermalization hypothesis | 0.778463 |
95,990 | The Journal of Environmental Biology is a bimonthly peer-reviewed scientific journal published by Triveni Enterprises. It covers all aspects of environmental sciences, toxicology, and related fields. The editor-in-chief is R.C. Dalela, who started the journal in 1980. | Journal of Environmental Biology | 0.778463 |
95,991 | Masreliez theorem describes a recursive algorithm within the technology of extended Kalman filter, named after the Swedish-American physicist John Masreliez, who is its author. The algorithm estimates the state of a dynamic system with the help of often incomplete measurements marred by distortion.Masreliez's theorem p... | Masreliez's theorem | 0.778462 |
95,992 | Weierstrass and Runge's theorems were put forward in 1885, while Mergelyan's theorem dates from 1951. After Weierstrass and Runge, many mathematicians (in particular Walsh, Keldysh, Lavrentyev, Hartogs, and Rosenthal) had been working on the same problem. The method of the proof suggested by Mergelyan is constructive, ... | Mergelyan's approximation theorem | 0.778457 |
95,993 | Mergelyan's theorem is a generalization of the Weierstrass approximation theorem and Runge's theorem. In the case that C∖K is not connected, in the initial approximation problem the polynomials have to be replaced by rational functions. An important step of the solution of this further rational approximation problem wa... | Mergelyan's approximation theorem | 0.778457 |
95,994 | The American Medical Association estimates that in 2006, there were more than 884,000 physicians in the United States. In addition, the US Bureau of Labor Statistics estimated that in May 2003 the US had 97,090 dentists, 63,780 opticians, 22,740 optometrists and 43,890 veterinarians.Therefore, the total number of US pr... | Critical Analysis of Evolution | 0.778457 |
95,995 | Referring to the number of people on the Scientific Dissent from Darwinism list and their claimed relevance, University of Minnesota biology professor PZ Myers writes, "Not only is the number that they cite pathetically small, but they rely on getting scientists whose expertise isn't relevant." In analogy, it can be ar... | Critical Analysis of Evolution | 0.778457 |
95,996 | Neither religion nor science is well served by this oversimplified view of their complex history. Discovery Institute Center for Science and Culture Associate Director John G. West, in both his book Darwin Day in America and in lectures, has attempted to link Darwin to the eugenics movement. However, critics point out ... | Critical Analysis of Evolution | 0.778457 |
95,997 | Other methods employed by the Institute include what they term "Public Education"; described as exposing 'bigotry and intolerance' to 'public disapproval' often through the Institute's blog Evolutionnews.org, "Personal Assistance"; described as "providing assistance in locating free legal representation from a network ... | Critical Analysis of Evolution | 0.778457 |
95,998 | The scientific and science education communities reacted to campaign by saying that it was a misinformation campaign. Nick Matzke described the campaign's support for science as "irony-meter-busting". In response to the campaign Kansas biology teacher Jeremy Mohn founded the competing website, Stand Up for REAL Science... | Critical Analysis of Evolution | 0.778457 |
95,999 | The Discovery Institute has conducted a series of related public relations campaigns which seek to promote intelligent design while attempting to discredit evolutionary biology, which the Institute terms "Darwinism". The Discovery Institute promotes the pseudoscientific intelligent design movement and is represented by... | Critical Analysis of Evolution | 0.778457 |
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