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98,800 | In early 2015 NASA outlined a conceptual plan for a three stage Mars habitat design and construction award program. The first stage called for a design. The next stage requested plans for construction technology that used discarded spacecraft components. The third stage involved building a habitat using 3D printing tec... | Mars habitat | 0.777144 |
98,801 | Some possible areas of needed technology or expertise: 3D Printing Mars atmospheric entry Caves of Mars Project Mars Excursion Module Aerospace engineering Space capsule Plants in space | Mars habitat | 0.777144 |
98,802 | In the performance arts, rhythm is the timing of events on a human scale; of musical sounds and silences that occur over time, of the steps of a dance, or the meter of spoken language and poetry. In some performing arts, such as hip hop music, the rhythmic delivery of the lyrics is one of the most important elements of... | Rhythm | 0.777144 |
98,803 | Add d dummy vertices to Y, and connect every dummy vertex to all vertices of X. After the addition, for every subset U of X, |NG(U)| ≥ |U|. By Hall's marriage theorem, the new graph admits a matching in which all vertices of X are matched. Now, restore the original graph by removing the d dummy vertices; this leaves at... | Deficiency (graph theory) | 0.77714 |
98,804 | Moreover, using the notion of deficiency, it is possible to state a quantitative version of Hall's theorem: Proof. Let d = def(G;X). This means that, for every subset U of X, |NG(U)| ≥ |U|-d. | Deficiency (graph theory) | 0.77714 |
98,805 | If def(G;X) = 0, it means that for all subsets U of X, |NG(U)| ≥ |U|. Hence, by Hall's marriage theorem, G admits a perfect matching. In contrast, if def(G;X) > 0, it means that for some subsets U of X, |NG(U)| < |U|. Hence, by the same theorem, G does not admit a perfect matching. | Deficiency (graph theory) | 0.77714 |
98,806 | Deficiency is a concept in graph theory that is used to refine various theorems related to perfect matching in graphs, such as Hall's marriage theorem. This was first studied by Øystein Ore. : 17 A related property is surplus. | Deficiency (graph theory) | 0.77714 |
98,807 | A graph G has the Hall property if Hall's marriage theorem holds for that graph, namely, if G has either a perfect matching or a vertex set with a positive deficiency. A graph has the strong Hall property if def(G) = |V| - 2 ν(G). Obviously, the strong Hall property implies the Hall property. Bipartite graphs have both... | Deficiency (graph theory) | 0.77714 |
98,808 | Ket is an open source algebra editor. It is distinct from other editors which focus on automated computation such as integration or equation solving (Mathematica, Maple etc.) or on the presentation quality of the resulting document (e.g. LaTeX). The focus of Ket is to enable the user to perform algebra quickly and effi... | Ket (software) | 0.77714 |
98,809 | They can also add and remove fragments of an expression into another equation including substituting for a variable. While a plain text representation of pages of equations can quickly become unwieldy, working with small fragments of plain text are a quick way to replace, identify or update an existing selection. If go... | Ket (software) | 0.77714 |
98,810 | Various forms of interaction are possible. These include reorganizing the tree structure and performing simple algebraic operations. Mouse drags allow the user to change the order of arguments to a function. | Ket (software) | 0.77714 |
98,811 | Ket breaks equation editing into a series of small edits performed by keyboard or mouse gestures. This is because equations contain a wide assortment of symbols and notations, but also contain a great deal of repetition. As a result, it is faster to reuse existing expressions than it is to re-write them. This becomes e... | Ket (software) | 0.77714 |
98,812 | In genetics, a founder mutation is a mutation that appears in the DNA of one or more individuals which are founders of a distinct population. Founder mutations initiate with changes that occur in the DNA and can be passed down to other generations. Any organism—from a simple virus to something complex like a mammal—who... | Founder effect | 0.77714 |
98,813 | In population genetics, the founder effect is the loss of genetic variation that occurs when a new population is established by a very small number of individuals from a larger population. It was first fully outlined by Ernst Mayr in 1942, using existing theoretical work by those such as Sewall Wright. As a result of t... | Founder effect | 0.77714 |
98,814 | 1981 – acquires both cable television operator TelePrompter (sold 1985), Muzak (sold September 1986), and 50% of Showtime for $576 million 1982 – acquires robot maker Unimation 1982 – sells street light division to Cooper Lighting 1983 – sells electric lamp division to Philips 1984 – buys Unimation robotics for $105 mi... | Westinghouse Electric Corporation | 0.777139 |
98,815 | The Euclidean spaces Rn (and in particular the real line R) are locally compact as a consequence of the Heine–Borel theorem. Topological manifolds share the local properties of Euclidean spaces and are therefore also all locally compact. This even includes nonparacompact manifolds such as the long line. All discrete sp... | Local compactness | 0.777134 |
98,816 | These are compact only if they are finite. All open or closed subsets of a locally compact Hausdorff space are locally compact in the subspace topology. | Local compactness | 0.777134 |
98,817 | Pontryagin numbers are oriented cobordism invariant; and together with Stiefel-Whitney numbers they determine an oriented manifold's oriented cobordism class. Pontryagin numbers of closed Riemannian manifolds (as well as Pontryagin classes) can be calculated as integrals of certain polynomials from the curvature tensor... | Pontryagin class | 0.777132 |
98,818 | Low-luminosity, intermittent Seyfert galaxies may meet the requirements with the formation of a linear accelerator several light years away from the nucleus, yet within their extended ion tori whose UV radiation ensures a supply of ionic contaminants. The corresponding electric fields are small, on the order of 10 V/cm... | Ultra-high energy cosmic ray | 0.77713 |
98,819 | If * is a one-point space then one can identify C(*, Y) with Y, and under this identification the compact-open topology agrees with the topology on Y. More generally, if X is a discrete space, then C(X, Y) can be identified with the cartesian product of |X| copies of Y and the compact-open topology agrees with the prod... | Compact open topology | 0.77713 |
98,820 | If X is locally compact, then X × − {\displaystyle X\times -} from the category of topological spaces always has a right adjoint H o m ( X , − ) {\displaystyle Hom(X,-)} . This adjoint coincides with the compact-open topology and may be used to uniquely define it. The modification of the definition for compactly genera... | Compact open topology | 0.77713 |
98,821 | Let X and Y be two topological spaces, and let C(X, Y) denote the set of all continuous maps between X and Y. Given a compact subset K of X and an open subset U of Y, let V(K, U) denote the set of all functions f ∈ C(X, Y) such that f (K) ⊆ U. In other words, V ( K , U ) = C ( K , U ) × C ( K , Y ) C ( X , Y ) {\displa... | Compact open topology | 0.77713 |
98,822 | In mathematics, the compact-open topology is a topology defined on the set of continuous maps between two topological spaces. The compact-open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory and functional analysis. It was introduced by Ralph Fox in 1945.If the codo... | Compact open topology | 0.77713 |
98,823 | Let X and Y be two Banach spaces defined over the same field, and let C m(U, Y) denote the set of all m-continuously Fréchet-differentiable functions from the open subset U ⊆ X to Y. The compact-open topology is the initial topology induced by the seminorms p K ( f ) = sup { ‖ D j f ( x ) ‖: x ∈ K , 0 ≤ j ≤ m } {\displ... | Compact open topology | 0.77713 |
98,824 | If X is a locally compact Hausdorff (or preregular) space, then the evaluation map e: C(X, Y) × X → Y, defined by e( f , x) = f (x), is continuous. This can be seen as a special case of the above where X is a one-point space. If X is compact, and Y is a metric space with metric d, then the compact-open topology on C(X,... | Compact open topology | 0.777129 |
98,825 | In other words, if Y is a metric space, then a sequence { fn } converges to f in the compact-open topology if and only if for every compact subset K of X, { fn } converges uniformly to f on K. If X is compact and Y is a uniform space, then the compact-open topology is equal to the topology of uniform convergence. If X,... | Compact open topology | 0.777129 |
98,826 | The Journal of Aerosol Science is a peer-reviewed academic journal covering the study of aerosols in multiple disciplines, including physics, chemistry, and engineering. It was established in 1970 and is published thirteen times per year. It is published by Elsevier in association with the European Aerosol Assembly. Th... | Journal of Aerosol Science | 0.777127 |
98,827 | Life cycle assessment (LCA) is sometimes referred to synonymously as life cycle analysis in the scholarly and agency report literatures. Also, due to the general nature of an LCA study of examining the life cycle impacts from raw material extraction (cradle) through disposal (grave), it is sometimes referred to as "cra... | Life-cycle assessment | 0.777126 |
98,828 | SDSC was founded in 1985 and describes its mission as "developing and using technology to advance science." The SDSC was one of the five original NSF Supercomputing Centers and the National Science Foundation (NSF) continues to be a primary funder of the SDSC. Its research pursuits are high performance computing, grid ... | San Diego Supercomputer Center | 0.777126 |
98,829 | The San Diego Supercomputer Center (SDSC) is an organized research unit of the University of California, San Diego (UCSD). SDSC is located at the UCSD campus' Eleanor Roosevelt College east end, immediately north the Hopkins Parking Structure. The current SDSC director is Frank Würthwein, Ph.D., UCSD physics professor ... | San Diego Supercomputer Center | 0.777126 |
98,830 | SDSC is also home to the Center for Applied Internet Data Analysis (CAIDA), and the Computational and Applied Statistics Laboratory (CASL). CAIDA is a collaboration of government, research, and commercial entities working together to improve the Internet. It features an academic network test infrastructure called the A... | San Diego Supercomputer Center | 0.777126 |
98,831 | Junction 2020 - Connected was held on November 6–8. The Covid-19 pandemic opened the doors for a hybrid event, gathering people all over the world to simultaneously hack in both physical locations and online. Partners included Genelec, HKScan, Paulig, OP, Supercell, Aito and Brella.The winner project was Saavi - health... | Junction (hackathon) | 0.777125 |
98,832 | Journal of Chemical Physics. 40 (12): 3530–3539. Bibcode:1964JChPh..40.3530G. | Diboron tetrafluoride | 0.777124 |
98,833 | In the mathematical field of graph theory, the Nauru graph is a symmetric, bipartite, cubic graph with 24 vertices and 36 edges. It was named by David Eppstein after the twelve-pointed star in the flag of Nauru.It has chromatic number 2, chromatic index 3, diameter 4, radius 4 and girth 6. It is also a 3-vertex-connect... | Nauru graph | 0.777123 |
98,834 | Its existence was reported on Aug. 22, 2008, by NASA's Swift satellite, which reported numerous blasts of radiation from the object. The eruptions were subsequently studied in-depth using the European Space Agency's XMM-Newton and International Gamma-Ray Astrophysics Laboratory (INTEGRAL) satellites. The object had bee... | SGR 0501+4516 | 0.777122 |
98,835 | In molecular biology the BED-type zinc finger domain is a protein domain which was named after the Drosophila proteins BEAF and DREF, is found in one or more copies in cellular regulatory factors and transposases from plants, animals and fungi. The BED finger is an about 50 to 60 amino acid residues domain that contain... | BED zinc finger | 0.777122 |
98,836 | The 2010 research concluded that "Robotic follow up" is possible for future missions on the Moon or Mars by simulating a test mission, although remotely controlled from nearby. The 2013 experiment was a 100 minute real-time teleoperation of a K10 rover from the ISS, commandeered by astronaut Luca Parmitano. Considered ... | K-10 robot | 0.777121 |
98,837 | The K10 was officially developed by the Intelligent Robotics Group (IRG) at NASA's Ames Research Center, Moffett Field, Calif. IRG used specially designed parts and off-the-shelf components when developing the K10. IRG was funded for this project by NASA's Exploration Technology Development Program (ETDP), which develo... | K-10 robot | 0.777121 |
98,838 | In the life sciences, a contract research organization (CRO) is a company that provides support to the pharmaceutical, biotechnology, and medical device industries in the form of research services outsourced on a contract basis. A CRO may provide such services as biopharmaceutical development, biological assay developm... | Contract research organization | 0.777119 |
98,839 | The International Structural Engineering and Construction Society (ISEC) is a non-profit professional body founded in 2001 to represent members of the civil engineering, structural engineering, and construction engineering profession worldwide. Based in Fargo, North Dakota, it offers educational conferences, seminars, ... | International Structural Engineering and Construction Society | 0.777117 |
98,840 | It has been postulated that a transient charge transfer complex is formed between the intermediate 1,2-dioxetanedione and the fluorescer , and a modified mechanism was proposed involving the transfer of an electron from the fluorescer to the reactive intermediate . The emission of light is thought to result from the an... | Peroxyoxalate | 0.777117 |
98,841 | In mathematics, the homotopy category is a category built from the category of topological spaces which in a sense identifies two spaces that have the same shape. The phrase is in fact used for two different (but related) categories, as discussed below. More generally, instead of starting with the category of topologic... | Homotopy category of topological spaces | 0.777117 |
98,842 | Some topologists prefer instead to work with compactly generated weak Hausdorff spaces; again, with the standard model structure, the associated homotopy category is equivalent to the homotopy category of all topological spaces.For a more algebraic example of a model category, let A be a Grothendieck abelian category, ... | Homotopy category of topological spaces | 0.777117 |
98,843 | Many other model structures have been considered on the category of topological spaces, depending on how much one wants to simplify the category. For example, in the Hurewicz model structure on topological spaces, the associated homotopy category is the naive homotopy category defined above.The same homotopy category c... | Homotopy category of topological spaces | 0.777117 |
98,844 | Example: Let X be the set of natural numbers {0, 1, 2, ...} and let Y be the set {0} ∪ {1, 1/2, 1/3, ...}, both with the subspace topology from the real line. Define f: X → Y by mapping 0 to 0 and n to 1/n for positive integers n. Then f is continuous, and in fact a weak homotopy equivalence, but it is not a homotopy e... | Homotopy category of topological spaces | 0.777117 |
98,845 | Whitehead, in particular Whitehead's theorem and the existence of CW approximations, give a more explicit description of the homotopy category. Namely, the homotopy category is equivalent to the full subcategory of the naive homotopy category that consists of CW complexes. In this respect, the homotopy category strips ... | Homotopy category of topological spaces | 0.777117 |
98,846 | For each REC purchased the customer is able to claim the equivalent MWh of energy reduction as an offset to their conventional energy use. Because RECs provide an additional revenue stream to renewable energy projects, they are essentially a subsidy meant to allow clean resources to economically compete with fossil fue... | Renewable energy credit | 0.777115 |
98,847 | Renewable power generation creates actual power in the form of electricity, and environmental benefits to society from “green” power production – such as minimizing pollution and slowing the rate finite fuel resources are used. The actual power is sold into the local grid, and the societal benefits are sold in the form... | Renewable energy credit | 0.777115 |
98,848 | In the United States, as part of the 2009 economic stimulus package, renewable Energy Rebate Programs are in place. Currently, solar is eligible for a 26% federal tax credit. Renewable Energy Credit is one of two main outputs or benefits from generation of new power from renewable sources. | Renewable energy credit | 0.777115 |
98,849 | A Renewable energy credit (REC) is a certificate corresponding to the environmental attributes of energy produced from renewable sources such as wind or solar. RECs were created as a means to track progress towards and compliance with states' Renewable Portfolio Standards (RPS), meant to support a cleaner generation mi... | Renewable energy credit | 0.777115 |
98,850 | René Peters (born August 26, 1971, in Simmerath) is a German chemist and since 2008 Professor of Organic Chemistry at the University of Stuttgart. | René Peters (chemist) | 0.777114 |
98,851 | From 2004 to 2008, Peters was an assistant professor at ETH Zurich. Since 2008 he has been Professor of Organic Chemistry at the University of Stuttgart. The research team led by Prof. Peters contributes to the field of cooperative asymmetric catalysis. | René Peters (chemist) | 0.777114 |
98,852 | Peters studied chemistry at RWTH Aachen University from 1992 to 1997 and subsequently received his doctorate under Dieter Enders until 2000. This was followed by a stay as a postdoc at Harvard University with Yoshito Kishi as a DAAD scholarship holder. Between 2001 and 2004 he worked as a process research chemist at F.... | René Peters (chemist) | 0.777114 |
98,853 | For instance, by Mirsky's theorem, assigning vertices by layers according to the length of the longest path starting from each vertex produces an assignment with the minimum possible number of layers. The Coffman–Graham algorithm may be used to find a layering with a predetermined limit on the number of vertices per la... | Sugiyama scheme | 0.777114 |
98,854 | The construction of a layered graph drawing proceeds in a sequence of steps: If the input graph is not already a directed acyclic graph, a set of edges is identified the reversal of which will make it acyclic. Finding the smallest possible set of edges is the NP-complete feedback arc set problem, so often greedy heuris... | Sugiyama scheme | 0.777114 |
98,855 | NCF-Envirothon is an annual environmentally themed academic competition for high school aged students organized by the NCF-Envirothon a program of the National Conservation Foundation. The competition is held by the United States and Canada on a regional, state, and bi-national level. Envirothon combines in-class and h... | Envirothon | 0.777105 |
98,856 | Learning objectives include tree and shrub physiology, forest ecology, sustainable forest management, and trees as important renewable resources, and more. The field test also focuses on forest structure in relation to biotic and abiotic factors; silviculture techniques and tool use; and the identification and manageme... | Envirothon | 0.777105 |
98,857 | Learning objectives for the Wildlife field test include knowledge of wild birds and mammals, wildlife ecology, conservation and management of wildlife, and issues involving wildlife and society, among other objectives. Other topic focuses include understanding food habits and skull morphology of wildlife species; habit... | Envirothon | 0.777105 |
98,858 | Stability of nanoparticle agglomerates is critical for estimating size distribution of aerosolized particles from nano-powders or other sources. At nanotechnology workplaces, workers can be exposed via inhalation to potentially toxic substances during handling and processing of nanomaterials. Nanoparticles in the air o... | Aerosol | 0.777104 |
98,859 | Methylglyoxal (MGO) is the organic compound with the formula CH3C(O)CHO. It is a reduced derivative of pyruvic acid. It is a reactive compound that is implicated in the biology of diabetes. Methylglyoxal is produced industrially by degradation of carbohydrates using overexpressed methylglyoxal synthase. | Methylglyoxal | 0.777103 |
98,860 | A pivot table is a table of grouped values that aggregates the individual items of a more extensive table (such as from a database, spreadsheet, or business intelligence program) within one or more discrete categories. This summary might include sums, averages, or other statistics, which the pivot table groups together... | Pivot Table | 0.777102 |
98,861 | PostgreSQL, an object–relational database management system, allows the creation of pivot tables using the tablefunc module. MariaDB, a MySQL fork, allows pivot tables using the CONNECT storage engine. Microsoft Access supports pivot queries under the name "crosstab" query. | Pivot Table | 0.777102 |
98,862 | Proponents of this view suggest that an AI model may be viewed as merely a tool (akin to a pen or a camera) used by its human operator to express their creative vision. For example, proponents argue that if the standard of originality can be satisfied by an artist clicking the shutter button on a camera, then perhaps a... | Artificial intelligence and copyright | 0.777101 |
98,863 | In the 2020s, the rapid increase in the capabilities of deep learning-based generative artificial intelligence models, including text-to-image models such as Stable Diffusion and large language models such as ChatGPT, posed questions of how copyright law applies to the training and use of such models. Because there is ... | Artificial intelligence and copyright | 0.777101 |
98,864 | The situation has been compared to Google Books's scanning of copyrighted books in Authors Guild, Inc. v. Google, Inc., which was ultimately found to be fair use, because the scanned content was not made publicly available, and the use was non-expressive.As of 2023, there were a number of US lawsuits disputing this, ar... | Artificial intelligence and copyright | 0.777101 |
98,865 | Popular deep learning models are generally trained on very large datasets of media (such as publicly available images and the text of web pages) scraped from the Internet, much of which is copyrighted. (As of 2023, alternate open-source approaches like "The Stack" by Hugging Face are rare.) Because assembling these tra... | Artificial intelligence and copyright | 0.777101 |
98,866 | In some cases, deep learning models may "memorize" the details of particular items in their training set, and reproduce them at generation time, such that their outputs may be considered copyright infringement. This behaviour is generally considered undesirable by AI developers (being considered a form of overfitting),... | Artificial intelligence and copyright | 0.777101 |
98,867 | The trace and determinant can no longer be defined in general in Banach spaces. However they can be defined for the so-called 2 3 {\displaystyle {\tfrac {2}{3}}} -nuclear operators via Grothendieck trace theorem. | Nuclear operators between Banach spaces | 0.777097 |
98,868 | In mathematics, nuclear operators between Banach spaces are a linear operators between Banach spaces in infinite dimensions that share some of the properties of their counter-part in finite dimension. In Hilbert spaces such operators are usually called trace class operators and one can define such things as the trace. ... | Nuclear operators between Banach spaces | 0.777097 |
98,869 | On the basis of the description of a particle without singularity, one has the possibility of a logically more satisfactory treatment of the combined problem: The problem of the field and that of the motion coincide. Both physicists and philosophers have often repeated the assertion that the geodesic equation can be ob... | Geodesic (general relativity) | 0.777095 |
98,870 | A geodesic between two events can also be described as the curve joining those two events which has a stationary interval (4-dimensional "length"). Stationary here is used in the sense in which that term is used in the calculus of variations, namely, that the interval along the curve varies minimally among curves that ... | Geodesic (general relativity) | 0.777095 |
98,871 | Mobility maximization and frontier minimization can be broken down into local configurations which can be added together; the usual implementation is to evaluate each row, column, diagonal and corner configuration separately and add together the values, many different patterns have to be evaluated. The process of deter... | Computer Othello | 0.777094 |
98,872 | In the early stages of diamond synthesis, the founding figure of modern chemistry, Antoine Lavoisier, played a significant role. His groundbreaking discovery that a diamond's crystal lattice is similar to carbon's crystal structure paved the way for initial attempts to produce diamonds. After it was discovered that dia... | Synthetic diamond | 0.777093 |
98,873 | TeX (, see below), stylized within the system as TeX, is a typesetting system which was designed and written by computer scientist and Stanford University professor Donald Knuth and first released in 1978. TeX is a popular means of typesetting complex mathematical formulae; it has been noted as one of the most sophisti... | TeX markup | 0.777092 |
98,874 | The major components of arc welding robots are the manipulator or the mechanical unit and the controller, which acts as the robot's "brain". The manipulator is what makes the robot move, and the design of these systems can be categorized into several common types, such as SCARA and cartesian coordinate robot, which use... | Robotic welding | 0.777092 |
98,875 | Robot welding is a relatively new application of robotics, even though robots were first introduced into U.S. industry during the 1960s. The use of robots in welding did not take off until the 1980s, when the automotive industry began using robots extensively for spot welding. Since then, both the number of robots used... | Robotic welding | 0.777092 |
98,876 | An important property is that the Pettis integral with respect to a finite measure is contained in the closure of the convex hull of the values scaled by the measure of the integration domain: This is a consequence of the Hahn-Banach theorem and generalizes the mean value theorem for integrals of real-valued functions:... | Pettis integral | 0.777088 |
98,877 | {\displaystyle \varphi \in V^{*}.} Consequently, E → λ {\displaystyle \operatorname {E} \to \lambda } in the weak topology on X . {\displaystyle X.} | Pettis integral | 0.777088 |
98,878 | By linearity, v ¯ N {\displaystyle {\bar {v}}_{N}} is Pettis integrable, and Suppose that the partial sums converge absolutely in the topology of V , {\displaystyle V,} in the sense that all rearrangements of the sum converge to a single vector λ ∈ V . {\displaystyle \lambda \in V.} The weak law of large numbers implie... | Pettis integral | 0.777088 |
98,879 | An immediate consequence of the definition is that Pettis integrals are compatible with continuous, linear operators: If Φ: V 1 → V 2 {\displaystyle \Phi :V_{1}\to V_{2}} is and linear and continuous and f: X → V 1 {\displaystyle f:X\to V_{1}} is Pettis integrable, then Φ ∘ f {\displaystyle \Phi \circ f} is Pettis inte... | Pettis integral | 0.777088 |
98,880 | However, the bacteria are no longer doing photosynthesis at this depth, and no isorenieratene was isolated. In Fayetteville Green Lake (New York), green sulfur bacteria and bacteriochlorophyll e were abundant below the chemocline, yet the sediments lacked isorenieratene. These unexpected absences of isorenieratene call... | Isorenieratene | 0.777087 |
98,881 | The mission of CQT is to conduct interdisciplinary theoretical and experimental research in quantum theory and its application to information processing. The discovery that quantum physics allows fundamentally new modes of information processing has required that classical theories of computation, information and crypt... | Centre for Quantum Technologies | 0.777086 |
98,882 | The Centre for Quantum Technologies (CQT) in Singapore is a Research Centre of Excellence hosted by the National University of Singapore. The Centre brings together physicists, computer scientists and engineers to do basic research on quantum physics and to build devices based on quantum phenomena. Experts in quantum t... | Centre for Quantum Technologies | 0.777086 |
98,883 | Research areas include: Quantum optics Sources of entangled photon pairs Single atom quantum interfaces Quantum cryptography and Quantum hacking Cold atoms and ions Atom Chips Ion traps Optical cavities Optical traps Optical lattices Fermionic condensates | Centre for Quantum Technologies | 0.777086 |
98,884 | Research areas include: Entanglement Quantum computation and cryptography Quantum information Cold fermions | Centre for Quantum Technologies | 0.777086 |
98,885 | Clinical care for such patients may include fertility preservation prior to medical interventions as well as family planning, complex contraception, and hormonal management across the cancer survivor's lifespan. The term was coined in 2006 by Dr. Woodruff, at the Feinberg School of Medicine (Northwestern University). W... | Oncofertility Consortium | 0.777083 |
98,886 | Oncofertility Saturday Academy (OSA) is a science program designed to engage a diverse population of high school girls from Chicago and San Diego to explore the basic science, clinical applications, and career options in reproductive science, cancer biology, and oncofertility. OSA was initiated in 2007 by the Northwest... | Oncofertility Consortium | 0.777083 |
98,887 | In applied mathematics, the Wiener–Khinchin theorem or Wiener–Khintchine theorem, also known as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectral density of ... | Wiener–Khinchin theorem | 0.777083 |
98,888 | The theorem is useful for analyzing linear time-invariant systems (LTI systems) when the inputs and outputs are not square-integrable, so their Fourier transforms do not exist. A corollary is that the Fourier transform of the autocorrelation function of the output of an LTI system is equal to the product of the Fourier... | Wiener–Khinchin theorem | 0.777083 |
98,889 | In many textbooks and in much of the technical literature it is tacitly assumed that Fourier inversion of the autocorrelation function and the power spectral density is valid, and the Wiener–Khinchin theorem is stated, very simply, as if it said that the Fourier transform of the autocorrelation function was equal to th... | Wiener–Khinchin theorem | 0.777083 |
98,890 | For the discrete-time case, the power spectral density of the function with discrete values x n {\displaystyle x_{n}} is S ( ω ) = 1 2 π ∑ k = − ∞ ∞ r x x ( k ) e − i ω k {\displaystyle S(\omega )={\frac {1}{2\pi }}\sum _{k=-\infty }^{\infty }r_{xx}(k)e^{-i\omega k}} where ω = 2 π f {\displaystyle \omega =2\pi f} is th... | Wiener–Khinchin theorem | 0.777083 |
98,891 | For continuous time, the Wiener–Khinchin theorem says that if x {\displaystyle x} is a wide-sense stochastic process whose autocorrelation function (sometimes called autocovariance) defined in terms of statistical expected value, r x x ( τ ) = E {\displaystyle r_{xx}(\tau )=\mathbb {E} {\big }} exists and is finite at... | Wiener–Khinchin theorem | 0.777083 |
98,892 | Norbert Wiener proved this theorem for the case of a deterministic function in 1930; Aleksandr Khinchin later formulated an analogous result for stationary stochastic processes and published that probabilistic analogue in 1934. Albert Einstein explained, without proofs, the idea in a brief two-page memo in 1914. | Wiener–Khinchin theorem | 0.777083 |
98,893 | WREN (Working Together to Resolve Environmental Effects of Wind Energy), also known as Task 34, was established by the IEA Wind Committee to address environmental issues associated with commercial development of land-based and offshore wind energy projects. While the U.S. DOE's National Renewable Energy Laboratory (NRE... | Tethys (database) | 0.777083 |
98,894 | Ongoing work to collect, curate, and make accessible existing information on MRE environmental effects on Tethys has expanded the platform and reached ever growing audiences. The phase culminated in the release of the 2020 State of the Science report, which reflects the most current and pertinent published information ... | Tethys (database) | 0.777083 |
98,895 | During phase 3 (2016-2020), Annex IV continued to pursue efforts to identify and bring clarity to the importance of key MRE device interactions with the marine environment. Following release of the 2016 State of the Science report, the Annex IV community put considerable effort into ensuring that the report itself and ... | Tethys (database) | 0.777083 |
98,896 | Key activities during this phase included a partnership with the European Wave and Tidal Energy Conference (EWTEC 2015) in Nantes, France during September 2015, that brought enhanced focus and researcher participation on environmental issues to this well-regarded conference. Additionally, the preparation of the Annex I... | Tethys (database) | 0.777083 |
98,897 | As industry, academia, and government seek to develop new renewable energy sources from moving water and wind, there exists an opportunity to gather potential environmental effects of these technologies. Tethys aims to evaluate and measure these effects to ensure that aquatic and avian animals, habitats, and ecosystem ... | Tethys (database) | 0.777083 |
98,898 | The Knowledge Base is primarily displayed as a table view that utilizes the alphabetical column sorting, facet box selection, and keyword search to allow users to easily sift through the information. Over 5300 media entries relevant to the environmental effects of wind energy and marine renewable energy are available, ... | Tethys (database) | 0.777083 |
98,899 | In an effort to connect members of this growing community, Tethys is meant to act as a hub, providing resources and contacts for those looking for more information. One way is by providing links to similar databases that may have different approaches to viewing data, or that may provide a different focus on the data co... | Tethys (database) | 0.777083 |
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