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23,800 | Since the fundamental theorem of algebra can be seen as the statement that the field of complex numbers is algebraically closed, it follows that any theorem concerning algebraically closed fields applies to the field of complex numbers. Here are a few more consequences of the theorem, which are either about the field o... | The fundamental theorem of algebra | 0.808648 |
23,801 | In organic chemistry, the Soai reaction is the alkylation of pyrimidine-5-carbaldehyde with diisopropylzinc. The reaction is autocatalytic and leads to rapidly increasing amounts of the same enantiomer of the product. The product pyrimidyl alcohol is chiral and induces that same chirality in further catalytic cycles. | Soai reaction | 0.808645 |
23,802 | Concept mining is an activity that results in the extraction of concepts from artifacts. Solutions to the task typically involve aspects of artificial intelligence and statistics, such as data mining and text mining. Because artifacts are typically a loosely structured sequence of words and other symbols (rather than c... | Concept mining | 0.808642 |
23,803 | One of the spin-offs of calculating document statistics in the concept domain, rather than the word domain, is that concepts form natural tree structures based on hypernymy and meronymy. These structures can be used to generate simple tree membership statistics, that can be used to locate any document in a Euclidean co... | Concept mining | 0.808642 |
23,804 | Relevant concepts: (exponential map, infinitesimal generator, one-parameter group) Every left-invariant vector field on a Lie group is complete. The integral curve starting at the identity is a one-parameter subgroup of G. There are one-to-one correspondences {one-parameter subgroups of G} ⇔ {left-invariant vector fiel... | Vector flow | 0.808641 |
23,805 | In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field. These appear in a number of different contexts, including differential topology, Riemannian geometry and Lie group theory. These related concepts are explored in a spectrum of articles: exponential map ... | Vector flow | 0.808641 |
23,806 | These papers were largely ignored by the mathematical community until their rediscovery in 1987 by Bodo Renschuch et al. An analogous concept for multivariate power series was developed independently by Heisuke Hironaka in 1964, who named them standard bases. This term has been used by some authors to also denote Gröbn... | Multivariate division algorithm | 0.808633 |
23,807 | Hilbert's Nullstellensatz has two versions. The first one asserts that a set of polynomials has no common zeros over an algebraic closure of the field of the coefficients, if and only if 1 belongs to the generated ideal. This is easily tested with a Gröbner basis computation, because 1 belongs to an ideal if and only i... | Multivariate division algorithm | 0.808633 |
23,808 | In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring K over a field K. A Gröbner basis allows many important properties of the ideal and the associated a... | Multivariate division algorithm | 0.808633 |
23,809 | In mathematical optimization theory, the mixed linear complementarity problem, often abbreviated as MLCP or LMCP, is a generalization of the linear complementarity problem to include free variables. | Mixed linear complementarity problem | 0.808631 |
23,810 | Quasi-linkage equilibrium (QLE) is a mathematical approximation used in solving population genetics problems. Motoo Kimura introduced the notion to simplify a model of Fisher's fundamental theorem. QLE greatly simplifies population genetic equations whilst making the assumption of weak selection and weak epistasis. Sel... | Quasi-linkage equilibrium | 0.80863 |
23,811 | In computer science, input enhancement is the principle that processing a given input to a problem and altering it in a specific way will increase runtime efficiency or space efficiency, or both. The altered input is usually stored and accessed to simplify the problem. By exploiting the structure and properties of the ... | Input enhancement (computer science) | 0.80863 |
23,812 | Creating data structures to more efficiently search through data is also a form of input enhancement. Placing data into a tree to store and search through inputs is another popular technique. Trees are used throughout computer science and many different types of trees - binary search trees, AVL trees, red-black trees, ... | Input enhancement (computer science) | 0.80863 |
23,813 | Input enhancement when searching has been an essential component of the algorithm world for some time in computer science. The main idea behind this principle is that the efficiency of a search is much faster when the time is taken to create or sort a data structure of the given input before attempting to search for th... | Input enhancement (computer science) | 0.80863 |
23,814 | There are sections of input enhancement that do not utilize precomputing and the terms should not be mutually used. When speaking about altering inputs, preprocessing is often misused. In computer science, a preprocessor and preprocessing are entirely different. | Input enhancement (computer science) | 0.80863 |
23,815 | In physics, ultradivided matter is a family of states of matter characterised by a heterogeneous mixture of two or more different materials, where the interaction energy between the suspended phase is larger than kT. The term 'ultradivided matter' encapsulates several types of substance including: soap micelles, emulsi... | Ultradivided matter | 0.808629 |
23,816 | In the mathematical theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to be the Mellin transform of a modular form. More generally a converse theorem states that a representation of an algebraic group over the adeles is automorphic whenever the L-functions of various twi... | Converse theorem | 0.808628 |
23,817 | The first converse theorems were proved by Hamburger (1921) who characterized the Riemann zeta function by its functional equation, and by Hecke (1936) who showed that if a Dirichlet series satisfied a certain functional equation and some growth conditions then it was the Mellin transform of a modular form of level 1. ... | Converse theorem | 0.808628 |
23,818 | J. W. Cogdell, H. Jacquet, I. I. Piatetski-Shapiro and J. Shalika have extended the converse theorem to automorphic forms on some higher-dimensional groups, in particular GLn and GLm×GLn, in a long series of papers. | Converse theorem | 0.808628 |
23,819 | National Survey of Family Growth, conducted in the United States by the National Center for Health Statistics division of the Centers for Disease Control and Prevention to understand trends related to fertility, family structure, and demographics in the United States. The 2006-2010 NSFG surveyed 22,682 interviews. Pane... | Survey research | 0.808623 |
23,820 | A single survey is made of at least a sample (or full population in the case of a census), a method of data collection (e.g., a questionnaire) and individual questions or items that become data that can be analyzed statistically. A single survey may focus on different types of topics such as preferences (e.g., for a pr... | Survey research | 0.808623 |
23,821 | "In 2017, CERN, Europe’s particle-physics laboratory near Geneva, Switzerland, adopted Overleaf as its preferred collaborative authoring platform. "Overleaf provides templates for submission to scientific journals and conferences. For example, the IEEE and Springer (incl. Nature) mention the possibility for submission ... | Overleaf | 0.808621 |
23,822 | Managed for NASA by the Jet Propulsion Laboratory, the Solar Mesosphere Explorer was built by Ball Space Systems and operated by the Laboratory for Atmospheric and Space Physics of the University of Colorado Boulder.Characteristics: Mass: 437 kilograms Power: Solar panels and nickel-cadmium batteries Configuration: Cyl... | Solar Mesosphere Explorer | 0.808617 |
23,823 | Explorer 64 studied the processes that create and destroy ozone in the Earth's mesosphere. Over its 7.5 years mission, SME measured ultraviolet solar flux, ozone density, and the density of other molecules important to the understanding of ozone chemistry. During the mission over one hundred undergraduate and graduate ... | Solar Mesosphere Explorer | 0.808616 |
23,824 | In February 2012, a 56-year-old heavy equipment operator in Washington state died after being crushed by an approximately 4,000-pound (1,800 kg) eco-block that was part of a wall used to subdivide a tank being used for fertilizer storage. The Washington State Department of Labor and Industries identified "Lack of train... | Ecology block | 0.808614 |
23,825 | An ecology block, also known as an eco-block or ecoblock, is a type of recycled concrete block used to make retaining walls. Ecology blocks are manufactured using concrete left over from other construction processes. A cross-section of an eco-block typically measures 2 feet (61 cm) square, with block lengths ranging fr... | Ecology block | 0.808614 |
23,826 | In response to homelessness in Seattle, several Seattle businesses and residents have deployed eco-blocks as hostile architecture in residential areas and outside of businesses, with the intention of discouraging homeless encampments and recreational vehicle (RV) parking by homeless persons who live in RVs. City law pr... | Ecology block | 0.808614 |
23,827 | Ecology blocks are marketed for construction of retaining walls; they have grooves on the top and bottom to facilitate vertical stacking. They are used for storage of bulk materials and other modular construction projects where permanent structures are not needed. They have also been used as a temporary fix for a criti... | Ecology block | 0.808614 |
23,828 | Like Poincaré, Einstein concluded in 1906 that the inertia of electromagnetic energy is a necessary condition for the center-of-mass theorem to hold. On this occasion, Einstein referred to Poincaré's 1900 paper and wrote: "Although the merely formal considerations, which we will need for the proof, are already mostly c... | Rest mass energy | 0.808612 |
23,829 | For line-of-sight communications or ground wave propagation, horizontally or vertically polarized transmissions generally remain in about the same polarization state at the receiving location. Using a vertically polarized antenna to receive a horizontally polarized wave (or visa-versa) results in relatively poor recept... | Antenna theory | 0.80861 |
23,830 | It is a fundamental property of antennas that most of the electrical characteristics of an antenna, such as those described in the next section (e.g. gain, radiation pattern, impedance, bandwidth, resonant frequency and polarization), are the same whether the antenna is transmitting or receiving. For example, the "rece... | Antenna theory | 0.80861 |
23,831 | The algebra of invariants of the quadratic form ax2 + 2bxy + cy2 is a polynomial algebra in 1 variable generated by the discriminant b2 − ac of degree 2. The algebra of covariants is a polynomial algebra in 2 variables generated by the discriminant together with the form f itself (of degree 1 and order 2). (Schur 1968,... | Invariants of binary forms | 0.808606 |
23,832 | The algebra of invariants of a quartic form is generated by invariants i, j of degrees 2, 3. This ring is naturally isomorphic to the ring of modular forms of level 1, with the two generators corresponding to the Eisenstein series E4 and E6. The algebra of covariants is generated by these two invariants together with t... | Invariants of binary forms | 0.808606 |
23,833 | However von Gall (1888) showed that Sylvester's numbers are not equal to the numbers of generators, which are 30 for the ring of invariants and at least 130 for the ring of covariants, so Sylvester's fundamental postulate is wrong. von Gall (1888) and Dixmier & Lazard (1988) showed that the algebra of invariants of a d... | Invariants of binary forms | 0.808606 |
23,834 | The clique game is an example of a strong positional game. It is parametrized by two integers, n and N. In it: X {\displaystyle X} contains all edges of the complete graph on {1,...,N}; F {\displaystyle {\mathcal {F}}} contains all cliques of size n.According to Ramsey's theorem, there exists some number R(n,n) such th... | Maker-Maker game | 0.808604 |
23,835 | Consider the game of tic-tac-toe played in an d-dimensional cube of length n. By the Hales–Jewett theorem, when d is large enough (as a function of n), every 2-coloring of the cube-cells contains a monochromatic geometric line. Therefore, by the above corollary, First always has a winning strategy. | Maker-Maker game | 0.808604 |
23,836 | Soil chemistry changes over time, as biological and which chemical processes break down or combine compounds over time. These processes change once the soil is removed from its natural ecosystem (flora and fauna that penetrate the sampled area) and environment (temperature, moisture, and solar light/radiation cycles). ... | Soil sample | 0.808604 |
23,837 | Summa de arithmetica, geometria, proportioni et proportionalita (Summary of arithmetic, geometry, proportions and proportionality) is a book on mathematics written by Luca Pacioli and first published in 1494. It contains a comprehensive summary of Renaissance mathematics, including practical arithmetic, basic algebra, ... | Summa de arithmetica | 0.808601 |
23,838 | Pacioli explicitly states in the Summa that he contributed no original mathematical content to the work, but he also does not specifically attribute any of the material to other sources. Subsequent scholarship has found that much of the work's coverage of geometry is taken almost exactly from Piero della Francesca’s Tr... | Summa de arithmetica | 0.808601 |
23,839 | The work's role in standardizing and disseminating professional bookkeeping methods has earned Pacioli a reputation as the "father of accounting".The book also marks the beginning of a movement in sixteenth-century algebra toward the use of logical argumentation and theorems in the study of algebra, following the model... | Summa de arithmetica | 0.808601 |
23,840 | The tenth and final chapter describes practical geometry (including basic trigonometry) in 151 pages.The book's mathematical content draws heavily on the traditions of the abacus schools of contemporary northern Italy, where the children of merchants and the middle class studied arithmetic on the model established by F... | Summa de arithmetica | 0.808601 |
23,841 | The Summa de arithmetica as originally printed consists of ten chapters on a series of mathematical topics, collectively covering essentially all of Renaissance mathematics. The first seven chapters form a summary of arithmetic in 222 pages. The eighth chapter explains contemporary algebra in 78 pages. The ninth chapte... | Summa de arithmetica | 0.808601 |
23,842 | A common subsequence of two strings S and T is a string whose characters appear in the same order (not necessarily consecutively) both in S and in T. The problem of computing a longest common subsequence has been well studied in computer science. It can be solved in polynomial time by dynamic programming; this basic al... | Chvátal–Sankoff constants | 0.808599 |
23,843 | However, authors usually credit the result to a 1966 paper by Böhm and Jacopini, possibly because Dijkstra cited this paper himself. The structured program theorem does not address how to write and analyze a usefully structured program. These issues were addressed during the late 1960s and early 1970s, with major contr... | Structured Programming | 0.808593 |
23,844 | The structured program theorem provides the theoretical basis of structured programming. It states that three ways of combining programs—sequencing, selection, and iteration—are sufficient to express any computable function. This observation did not originate with the structured programming movement; these structures a... | Structured Programming | 0.808593 |
23,845 | Knuth proposed a looser structural constraint: It should be possible to draw a program's flow chart with all forward branches on the left, all backward branches on the right, and no branches crossing each other. Many of those knowledgeable in compilers and graph theory have advocated allowing only reducible flow graphs... | Structured Programming | 0.808593 |
23,846 | P. J. Plauger, an early adopter of structured programming, described his reaction to the structured program theorem: Us converts waved this interesting bit of news under the noses of the unreconstructed assembly-language programmers who kept trotting forth twisty bits of logic and saying, 'I betcha can't structure this... | Structured Programming | 0.808593 |
23,847 | Structured programming is a programming paradigm aimed at improving the clarity, quality, and development time of a computer program by making extensive use of the structured control flow constructs of selection (if/then/else) and repetition (while and for), block structures, and subroutines. It emerged in the late 195... | Structured Programming | 0.808593 |
23,848 | Early PCP research focused on its role in embryology and genetics, but the discovery that PCP proteins were localized asymmetrically within the cell pushed the topic into the world of cell biology.There was a surge in interest in the Planar Cell Polarity pathway after conserved PCP genes were found to be involved in im... | Planar cell polarity | 0.80859 |
23,849 | Planar cell polarity was first described in insects and then further defined in fruit flies (Drosophila melanogaster). Some of the earlier work on gene controlled polarity of fly wings was published by D. Gubb and A. García-Bellido in 1982 describing how the mutation of some genes resulted in a morphology change in the... | Planar cell polarity | 0.80859 |
23,850 | In the statistical physics of second order phase transitions, the physical system approaches an infrared fixed point that is independent of the initial short distance dynamics that defines the material. This determines the properties of the phase transition at the critical temperature, or critical point. Observables, s... | Infrared fixed point | 0.80859 |
23,851 | In physics, an infrared fixed point is a set of coupling constants, or other parameters, that evolve from initial values at very high energies (short distance) to fixed stable values, usually predictable, at low energies (large distance). This usually involves the use of the renormalization group, which specifically de... | Infrared fixed point | 0.80859 |
23,852 | The centralised procedure allows companies to submit a single application to the agency to obtain from the European Commission a centralised (or "community") marketing authorisation (MA) valid in all European Union member states and in Iceland, Liechtenstein and Norway. The centralised procedure is compulsory for all m... | European Medicines Agency | 0.808589 |
23,853 | Point groups in two dimensions, sometimes called rosette groups. They come in two infinite families: Cyclic groups Cn of n-fold rotation groups Dihedral groups Dn of n-fold rotation and reflection groupsApplying the crystallographic restriction theorem restricts n to values 1, 2, 3, 4, and 6 for both families, yielding... | Rosette groups | 0.808588 |
23,854 | Point groups in three dimensions, sometimes called molecular point groups after their wide use in studying symmetries of molecules. They come in 7 infinite families of axial groups (also called prismatic), and 7 additional polyhedral groups (also called Platonic). In Schönflies notation, Axial groups: Cn, S2n, Cnh, Cnv... | Rosette groups | 0.808588 |
23,855 | The dead bodies of vertebrate animals and insects are sometimes called carcasses. The human body has a head, neck, torso, two arms, two legs and the genitals of the groin, which differ between males and females. The branch of biology dealing with the study of the bodies and their specific structural features called mor... | Body (biology) | 0.808585 |
23,856 | Navy nuclear power program and degrees granted after October 2010 are accredited by the Technology Accreditation Commission (TAC) of the Accreditation Board for Engineering and Technology (ABET). Old Dominion University's Batten College of Engineering & Technology offers a Bachelor of Science in Engineering Technology ... | Nuclear Power School | 0.808582 |
23,857 | JSIs receive additional instructor training at the NPTU and then train students themselves for 24 months before eventually continuing on to serve in the fleet. Additionally, a few MMN graduates from each NPTU class are selected to undergo further training in the Engineering Laboratory Technician (ELT) specialty. ELTs a... | Nuclear Power School | 0.808582 |
23,858 | Prospective enlisted enrollees in the Nuclear Power Program must have qualifying line scores on the ASVAB exam, may need to pass the NFQT (Nuclear Field Qualification Test), and must undergo a NACLC investigation for attaining a "Secret" security clearance. Additionally, each applicant must pass an interview with the A... | Nuclear Power School | 0.808582 |
23,859 | Efforts were made starting in the 1830s and continuing through the 19th century to detect infrared radiation from other astronomical sources. Radiation from the Moon was first detected in 1856 by Charles Piazzi Smyth, the Astronomer Royal for Scotland, during an expedition to Tenerife to test his ideas about mountain t... | Infrared Astronomy | 0.808581 |
23,860 | One of the most common infrared detector arrays used at research telescopes is HgCdTe arrays. These operate well between 0.6 and 5 micrometre wavelengths. For longer wavelength observations or higher sensitivity other detectors may be used, including other narrow gap semiconductor detectors, low temperature bolometer a... | Infrared Astronomy | 0.808581 |
23,861 | James Webb Space Telescope (JWST), operated 2022-, NASA mission. Euclid telescope, operated 2023-, ESA mission.In addition, SPHEREx is a telescope scheduled for launch in 2025. NASA is also planning to launch the Nancy Grace Roman Space Telescope (NGRST), originally known as the Wide Field InfraRed Space Telescope (WFI... | Infrared Astronomy | 0.808581 |
23,862 | Current infrared telescopes in space include the Herschel Space Observatory, the Spitzer Space Telescope, the Wide-field Infrared Survey Explorer and the James Webb Space Telescope. Since putting telescopes in orbit is expensive, there are also airborne observatories, such as the Stratospheric Observatory for Infrared ... | Infrared Astronomy | 0.808581 |
23,863 | After a number of discoveries were made in the 1950s and 1960s in radio astronomy, astronomers realized the information available outside the visible wavelength range, and modern infrared astronomy was established. Infrared and optical astronomy are often practiced using the same telescopes, as the same mirrors or lens... | Infrared Astronomy | 0.808581 |
23,864 | Infrared astronomy is a sub-discipline of astronomy which specializes in the observation and analysis of astronomical objects using infrared (IR) radiation. The wavelength of infrared light ranges from 0.75 to 300 micrometers, and falls in between visible radiation, which ranges from 380 to 750 nanometers, and submilli... | Infrared Astronomy | 0.808581 |
23,865 | Even so, the ratio of flux he reported for the two stars is consistent with the modern value, so George Rieke gives Nichols credit for the first detection of a star other than our own in the infrared.The field of infrared astronomy continued to develop slowly in the early 20th century, as Seth Barnes Nicholson and Edis... | Infrared Astronomy | 0.808581 |
23,866 | The company's Xitan had an S-100 bus and a Z-80-based CPU came in two configurations: the base Alpha 1 model and the Alpha 2.Other products from TDL for the Xitan and S-100 Z80-based computer systems: Zapple Monitor Micro-Seed a database management system for Xitan Z80 microprocessors. Z-Tel a text editing language for... | Technical Design Labs | 0.808579 |
23,867 | The topology and structure of these subunits has been best characterized in budding yeast, but the sequence conservation of these proteins and biochemical and electron microscopic observations imply that cohesin complexes in other species are very similar in their structure, . The cohesin complex is established during ... | Cohesin | 0.808577 |
23,868 | Thus, the memory learns to predict what is about to happen. Wide applications of the memory would be in systems that deal with real-world information in real time. The applications include vision – detecting and identifying objects in a scene and anticipating subsequent scenes – robotics, signal detection and verificat... | Sparse Distributed Memory | 0.808577 |
23,869 | Human memory has a tendency to congregate memories based on similarities between them (although they may not be related), such as "firetrucks are red and apples are red". Sparse distributed memory is a mathematical representation of human memory, and uses high-dimensional space to help model the large amounts of memory... | Sparse Distributed Memory | 0.808577 |
23,870 | Dana H. Ballard's lab demonstrated a general-purpose object indexing technique for computer vision that combines the virtues of principal component analysis with the favorable matching properties of high-dimensional spaces to achieve high precision recognition. The indexing algorithm uses an active vision system in con... | Sparse Distributed Memory | 0.808577 |
23,871 | C Binary Vector Symbols (CBVS): includes SDM implementation in C as a part of vector symbolic architecture developed by EISLAB at Luleå University of Technology: http://pendicular.net/cbvs.php CommonSense ToolKit (CSTK) for realtime sensor data processing developed at the Lancaster University includes implementation of... | Sparse Distributed Memory | 0.808577 |
23,872 | Ashraf Anwar, Stan Franklin, and Dipankar Dasgupta at The University of Memphis; proposed a model for SDM initialization using Genetic Algorithms and Genetic Programming (1999). Genetic memory uses genetic algorithm and sparse distributed memory as a pseudo artificial neural network. It has been considered for use in c... | Sparse Distributed Memory | 0.808577 |
23,873 | The SDM may be regarded either as a content-addressable extension of a classical random-access memory (RAM) or as a special type of three layer feedforward neural network. The main SDM alterations to the RAM are: The SDM calculates Hamming distances between the reference address and each location address. For each dist... | Sparse Distributed Memory | 0.808577 |
23,874 | This work has been incorporated into SpiNNaker (Spiking Neural Network Architecture) which is being used as the Neuromorphic Computing Platform for the Human Brain Project. Non-random distribution of locations: Although the storage locations are initially distributed randomly in the binary N address space, the final di... | Sparse Distributed Memory | 0.808577 |
23,875 | Kanerva's key thesis is that certain neurons could have their input coefficients and thresholds fixed over the entire life of an organism and used as address decoders where n-tuple of input coefficients (the pattern to which neurons respond most readily) determines the n-bit memory address, and the threshold controls t... | Sparse Distributed Memory | 0.808577 |
23,876 | Responsiveness as a concept of computer science refers to the specific ability of a system or functional unit to complete assigned tasks within a given time. For example, it would refer to the ability of an artificial intelligence system to understand and carry out its tasks in a timely fashion.In the Reactive principl... | Responsiveness | 0.808564 |
23,877 | In software engineering, software durability means the solution ability of serviceability of software and to meet user's needs for a relatively long time. Software durability is important for user's satisfaction. For a software security to be durable, it must allow an organization to adjust the software to business nee... | Software durability | 0.808562 |
23,878 | If the successive sides of a cyclic hexagon are a, b, c, d, e, f, then the three main diagonals concur at a single point if and only if ace = bdf. If a hexagon has an inscribed conic, then by Brianchon's theorem its principal diagonals are concurrent (as in the above image). Concurrent lines arise in the dual of Pappus... | Concurrent lines | 0.808562 |
23,879 | In geometry, lines in a plane or higher-dimensional space are concurrent if they intersect at a single point. They are in contrast to parallel lines. | Concurrent lines | 0.808562 |
23,880 | According to the Rouché–Capelli theorem, a system of equations is consistent if and only if the rank of the coefficient matrix is equal to the rank of the augmented matrix (the coefficient matrix augmented with a column of intercept terms), and the system has a unique solution if and only if that common rank equals the... | Concurrent lines | 0.808562 |
23,881 | In projective geometry, in two dimensions concurrency is the dual of collinearity; in three dimensions, concurrency is the dual of coplanarity. | Concurrent lines | 0.808562 |
23,882 | The company derives its name from its original focus on rapid prototyping through 3D printing (or additive manufacturing) with the idea that virtual concepts can be printed into solid reality, as the technologies that founded the company are capable of directly reading CAD data and creating parts. Solid Concepts market... | Solid Concepts | 0.808561 |
23,883 | SLS and FDM are 3D Printing processes that afford high quality plastics viable in end-use products, while also being used for prototypes. DMLS is viable for metal parts requiring geometries that cannot easily be milled. Tooling & Injection Molding: Injection Mold Tooling involves machining a mold—a Core and Cavity—that... | Solid Concepts | 0.808561 |
23,884 | Computer Numerical Controlled Machining (CNC): CNC machining/milling has virtually no material limitation. Solid Concepts incorporates their CNC machining centers for the production of Master Patterns for QuantumCast Cast Urethane products that may require a long mold life. *Stereolithography/ 3D Printing: SLA is the t... | Solid Concepts | 0.808561 |
23,885 | Solid Concepts manufactures products for a range of industries, including aerospace, business consumer, medical, and transportation. The company manufactures architectural models, prototypes, anatomical models, and investment casting patterns for metal castings using QuickCast SLA. The company largely focused on protot... | Solid Concepts | 0.808561 |
23,886 | Minor allele frequency (MAF) is the frequency at which the second most common allele occurs in a given population. They play a surprising role in heritability since MAF variants which occur only once, known as "singletons", drive an enormous amount of selection.Single nucleotide polymorphisms (SNPs) with a minor allele... | Minor allele frequency | 0.808561 |
23,887 | Some common analytes that clinical chemistry tests analyze include: | Blood chemistry | 0.808558 |
23,888 | An average order of d(n), the number of divisors of n, is log n; An average order of σ(n), the sum of divisors of n, is nπ2 / 6; An average order of φ(n), Euler's totient function of n, is 6n / π2; An average order of r(n), the number of ways of expressing n as a sum of two squares, is π; The average order of represent... | Average order of an arithmetic function | 0.808558 |
23,889 | In number theory, an average order of an arithmetic function is some simpler or better-understood function which takes the same values "on average". Let f {\displaystyle f} be an arithmetic function. We say that an average order of f {\displaystyle f} is g {\displaystyle g} if as x {\displaystyle x} tends to infinity. | Average order of an arithmetic function | 0.808558 |
23,890 | The International Joint Conference on Biomedical Engineering Systems and Technologies - BIOSTEC - is an international joint conference composed of five co-located conferences each specialized in a different knowledge area: Biomedical Electronics and Devices – BIODEVICES Bioimaging – BIOIMAGING Bioinformatics Models, Me... | BIOSTEC | 0.808558 |
23,891 | In problem-based learning the students are actively involved and they like this method. It fosters active learning, and also retention and development of lifelong learning skills. It encourages self-directed learning by confronting students with problems and stimulates the development of deep learning. | Problem-Based Learning | 0.808556 |
23,892 | Complex differential geometry is the study of complex manifolds. An almost complex manifold is a real manifold M {\displaystyle M} , endowed with a tensor of type (1, 1), i.e. a vector bundle endomorphism (called an almost complex structure) J: T M → T M {\displaystyle J:TM\rightarrow TM} , such that J 2 = − 1. {\displ... | Differential Geometry | 0.808555 |
23,893 | Conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. | Differential Geometry | 0.808555 |
23,894 | Pseudo-Riemannian geometry generalizes Riemannian geometry to the case in which the metric tensor need not be positive-definite. A special case of this is a Lorentzian manifold, which is the mathematical basis of Einstein's general relativity theory of gravity. | Differential Geometry | 0.808555 |
23,895 | The Cauer topology uses passive components (shunt capacitors and series inductors) to implement a linear analog filter. The Butterworth filter having a given transfer function can be realised using a Cauer 1-form. The k-th element is given by C k = 2 sin k = odd {\displaystyle C_{k}=2\sin \left\qquad k={\text{odd}}}... | Butterworth response | 0.808554 |
23,896 | Protocol-dependent modules (PDMs) are used by the routing protocol EIGRP to make decisions about adding routes learned from other sources; for example other routers or routing protocols to the routing table. In fact EIGRP has the capability for routing several different protocols including IPv4 and IPv6 using protocol-... | Protocol-dependent module | 0.808554 |
23,897 | Infinitesimal rigidity means that the structure will not flex by even an amount that is too small to be detected even in theory. (Technically, that means certain differential equations have no nonzero solutions.) The importance of finite rigidity is obvious, but infinitesimal rigidity is also crucial because infinitesi... | Structural rigidity | 0.808552 |
23,898 | In statistics, particularly in analysis of variance and linear regression, a contrast is a linear combination of variables (parameters or statistics) whose coefficients add up to zero, allowing comparison of different treatments. | Contrast (statistics) | 0.808545 |
23,899 | Optical depth in astrophysics refers to a specific level of transparency. Optical depth and actual depth, τ {\displaystyle \tau } and z {\displaystyle z} respectively, can vary widely depending on the absorptivity of the astrophysical environment. Indeed, τ {\displaystyle \tau } is able to show the relationship between... | Optical depth (astrophysics) | 0.808544 |
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