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A notable example of a data privacy breach in the digital health space took place in 2016. Google faced a major lawsuit over a data-sharing agreement that gave its artificial intelligence arm, DeepMind, access to the personal health data of 1.6 million British patients.
Digital healthcare
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At a global level, the implementation of digital health solutions depends on large data sets, ranging from simple statistics that record every birth and death to more sophisticated metrics that track diseases, outbreaks, and chronic conditions. These systems record data such as patient records, blood test results, EKGs...
Digital healthcare
0.778387
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The flexibility in this technology also allows for more positive and accurate results. Mobile health (or mhealth) is the practice of medicine and public health supported by mobile devices.Health systems engineering is another subset of digital health that leverages other engineering industries to improve upon applicati...
Digital healthcare
0.778387
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Some other technologies include Assistive technologies, rehabilitation robotics, and unobtrusive monitoring sensors that can help people with disabilities perform their daily tasks independently. Computational simulations, modeling, and machine learning (e.g. FG-AI4H) approaches can model health-related outcomes. These...
Digital healthcare
0.778387
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Scattering problems are problems, where the refractive index geometry of the objects is given, incident waves as well as (possibly) interior sources are known and the response of the structure in terms of reflected, refracted and diffracted waves has to be computed. The system is described by time-harmonic Maxwell's Eq...
JCMsuite
0.778382
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Resonance problems are problems in 1D, 2D, or 3D where the refractive index geometry of resonating objects is given, and the angular frequencies ω {\displaystyle \omega } and corresponding resonating fields have to be computed. No incident waves or interior sources are present. JCMsuite determines pairs of E {\displays...
JCMsuite
0.778382
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JCMsuite is a finite element analysis software package for the simulation and analysis of electromagnetic waves, elasticity and heat conduction. It also allows a mutual coupling between its optical, heat conduction and continuum mechanics solvers. The software is mainly applied for the analysis and optimization of nano...
JCMsuite
0.778382
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Morse is one of six coauthors of the book k {\displaystyle k} -Schur Functions and Affine Schubert Calculus (Fields Institute Monographs 33, Springer, 2014).
Jennifer Morse (mathematician)
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Jennifer Leigh Morse is a mathematician specializing in algebraic combinatorics. She is a professor of mathematics at the University of Virginia.
Jennifer Morse (mathematician)
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Morse's interests in algebraic combinatorics include representation theory and applications to statistical physics, symmetric functions, Young tableaux, and k {\displaystyle k} -Schur functions, which are a generalization of Schur polynomials.
Jennifer Morse (mathematician)
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Morse was named a Simons Fellow in Mathematics in 2012 and again in 2021. She was elected as a Fellow of the American Mathematical Society in the 2021 class of fellows, "for contributions to algebraic combinatorics and representation theory and service to the mathematical community".
Jennifer Morse (mathematician)
0.778381
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{\displaystyle SC(NE)\leq 1/A\cdot \Phi (NE)\leq 1/A\cdot \Phi (OPT)\leq B/A\cdot SC(OPT).} Now recall that the social cost was defined as the sum of costs over edges, so Φ ( S ) = ∑ e ∈ S ∑ i = 1 n e c e i = ∑ e ∈ S c e H n e ≤ ∑ e ∈ S c e H n = H n ⋅ S C ( S ) . {\displaystyle \Phi (S)=\sum _{e\in S}\sum _{i=1}^{n_{e...
Price of stability
0.778381
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Note that by design, network design games are congestion games. Therefore, they admit a potential function Φ = ∑ e ∑ i = 1 n e c e i {\displaystyle \textstyle \Phi =\sum _{e}\sum _{i=1}^{n_{e}}{\frac {c_{e}}{i}}} . Theorem. Suppose there exist constants A {\displaystyle A} and B {\displaystyle B} such that for every st...
Price of stability
0.778381
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In molecular biology, the ATCase/OTCase family is a protein family which contains two related enzymes: aspartate carbamoyltransferase EC 2.1.3.2 and ornithine carbamoyltransferase EC 2.1.3.3. It has been shown that these enzymes are evolutionary related. The predicted secondary structure of both enzymes is similar and ...
ATCase/OTCase family
0.77838
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Current Contents/Physics, Chemical, & Earth Sciences
Nuclear Physics (journal)
0.77838
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Nuclear Physics A, Nuclear Physics B, Nuclear Physics B: Proceedings Supplements and discontinued Nuclear Physics are peer-reviewed scientific journals published by Elsevier. The scope of Nuclear Physics A is nuclear and hadronic physics, and that of Nuclear Physics B is high energy physics, quantum field theory, stati...
Nuclear Physics (journal)
0.77838
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Then f {\displaystyle f} is holomorphic in Ω {\displaystyle \Omega } , and moreover, the sequence of derivatives ( f n ′ ) n = 1 ∞ {\displaystyle (f'_{n})_{n=1}^{\infty }} converges uniformly to f ′ {\displaystyle f'} on every compact subset of Ω {\displaystyle \Omega } . Theorem. Let Ω {\displaystyle \Omega } be an op...
Uniform limit theorem
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There are also variants of the uniform limit theorem that are used in complex analysis, albeit with modified assumptions. Theorem. Let Ω {\displaystyle \Omega } be an open and connected subset of the complex numbers. Suppose that ( f n ) n = 1 ∞ {\displaystyle (f_{n})_{n=1}^{\infty }} is a sequence of holomorphic funct...
Uniform limit theorem
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In the case where Y is complete, it follows that C(X, Y) is itself a complete metric space. In particular, if Y is a Banach space, then C(X, Y) is itself a Banach space under the uniform norm. The uniform limit theorem also holds if continuity is replaced by uniform continuity. That is, if X and Y are metric spaces and...
Uniform limit theorem
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Then each function ƒn is continuous, but the sequence converges pointwise to the discontinuous function ƒ that is zero on [0, 1) but has ƒ(1) = 1. Another example is shown in the adjacent image. In terms of function spaces, the uniform limit theorem says that the space C(X, Y) of all continuous functions from a topolog...
Uniform limit theorem
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More precisely, let X be a topological space, let Y be a metric space, and let ƒn: X → Y be a sequence of functions converging uniformly to a function ƒ: X → Y. According to the uniform limit theorem, if each of the functions ƒn is continuous, then the limit ƒ must be continuous as well. This theorem does not hold if u...
Uniform limit theorem
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In mathematics, the uniform limit theorem states that the uniform limit of any sequence of continuous functions is continuous.
Uniform limit theorem
0.778379
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In physics, a renormalon (a term suggested by 't Hooft) is a particular source of divergence seen in perturbative approximations to quantum field theories (QFT). When a formally divergent series in a QFT is summed using Borel summation, the associated Borel transform of the series can have singularities as a function o...
Renormalon
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In 2009, the Arago spot experiment was demonstrated with a supersonic expansion beam of deuterium molecules (an example of neutral matter waves). Material particles behaving like waves is known from quantum mechanics. The wave-nature of particles actually dates back to de Broglie's hypothesis as well as Davisson and Ge...
Poisson spot
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However, with the laser sources available today, it is undemanding to perform an Arago-spot experiment.In astronomy, the Arago spot can also be observed in the strongly defocussed image of a star in a Newtonian telescope. There, the star provides an almost ideal point source at infinity, and the secondary mirror of the...
Poisson spot
0.778378
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By 1972 a zero tolerance was placed on all certified seeds in Montana which led to a dramatic decline in yield loss due to BSMV. Similarly, in 1971 BSMV was eliminated in barley seeds in North Dakota.However, despite not being a factor in crop production anymore, BSMV is still important in research, as various studies ...
Barley stripe mosaic virus
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One study has found that the BSMV resistance gene shows Mendelian genetics and has shown to be dominant by complete mapping of the Bsr1 Barley Stripe Moasic Virus Resistance Gene in Brachypodium distachyon.Barley Stripe Mosaic Virus is one of the very few viruses that is transmitted through seeds for small grain cereal...
Barley stripe mosaic virus
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An important number-theoretic application of the theorem is to Dirichlet series of the form ∑ n = 1 ∞ a ( n ) n − s {\displaystyle \sum _{n=1}^{\infty }a(n)n^{-s}} where a(n) is non-negative. If the series converges to an analytic function in ℜ ( s ) ≥ b {\displaystyle \Re (s)\geq b} with a simple pole of residue c at ...
Wiener–Ikehara theorem
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The Wiener–Ikehara theorem is a Tauberian theorem introduced by Shikao Ikehara (1931). It follows from Wiener's Tauberian theorem, and can be used to prove the prime number theorem (Chandrasekharan, 1969).
Wiener–Ikehara theorem
0.778377
96,229
The architecture section of the Bluetooth Core Specification defines a number of concepts which collectively constitute the Bluetooth data transport architecture. Key amongst these concepts are the Physical Channel, Physical Link, Logical Link and Logical Transport. Certain combinations are intended for use in differen...
Asynchronous connection-oriented logical transport
0.778377
96,230
In mathematics, an Abelian 2-group is a higher dimensional analogue of an Abelian group, in the sense of higher algebra, which were originally introduced by Alexander Grothendieck while studying abstract structures surrounding Abelian varieties and Picard groups. More concretely, they are given by groupoids A {\display...
Picard stack
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The penetration forces, if recorded, give information about the strength of different depths in the material, which may be the only information required, with samples as an incidental benefit. This technique is common in both civil engineering site investigations (where the technique shades into pile driving) and geolo...
Reverse circulation drilling
0.778375
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Until then, the prevailing belief in neuroscience was that just the connections and neurotransmitters released by neurons was enough to determine their function. Research by Llinás and colleagues during the 80's with vertebrates revealed this previously held dogma was wrong. == References ==
Llinás's law
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Llinás's law, or law of no interchangeability of neurons, is a statement in neuroscience made by Rodolfo Llinás in 1989, during his Luigi Galvani Award Lecture at the Fidia Research Foundation Neuroscience Award Lectures . A neuron of a given kind (e.g. a thalamic cell) cannot be functionally replaced by one of another...
Llinás's law
0.778375
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This places the researcher at risk of cherry-picking regions and connections according to their own preconceived theories. However, graph theory analysis is still considered extremely valuable, as it is the only method that gives pair-wise relationships between nodes. While ICA may have an advantage in being a fairly p...
Neurophilosophy
0.778375
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Wigs et al. once again warns us that inference of functional brain region communities is difficult under ICA. ICA also has the issue of imposing orthogonality on the data.Graph theory uses a matrix to characterize covariance between regions, which is then transformed into a network map. The problem with graph theory an...
Neurophilosophy
0.778375
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The brain regions of interest are somewhat constrained by the size of the voxels. Rs-fcMRI uses voxels that are only a few millimeters cubed, so the brain regions will have to be defined on a larger scale. Two of the statistical methods that are commonly applied to network analysis can work on the single voxel spatial ...
Neurophilosophy
0.778375
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Shagrir identifies several philosophers of neuroscience who espouse structural accounts. According to him, Fodor and Pylyshyn require some sort of syntactic constraint on their theory of computation. This is consistent with their rejection of connectionist systems on the grounds of systematicity.
Neurophilosophy
0.778375
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For example, if the definition of computation is limited to syntactic manipulation of symbolic representations, then most connectionist systems would not be able to compute. Rick Grush distinguishes between computation as a tool for simulation and computation as a theoretical stance in cognitive neuroscience. For the f...
Neurophilosophy
0.778375
96,239
By the mid-1980s, a group of researchers began using multilayer feed-forward analog neural networks that could be trained to perform a variety of tasks. The work by researchers like Sejnowski, Rosenberg, Rumelhart, and McClelland were labeled as connectionism, and the discipline has continued since then. The connection...
Neurophilosophy
0.778375
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By the early 1960s, Hilary Putnam was arguing in favor of machine functionalism in which the brain instantiated Turing machines. By this point computational theories were firmly fixed in psychology and neuroscience.
Neurophilosophy
0.778375
96,241
Behaviorism had dominated the psychology until the 1950s when new developments in a variety of fields overturned behaviorist theory in favor of a cognitive theory. From the beginning of the cognitive revolution, computational theory played a major role in theoretical developments. Minsky and McCarthy's work in artifici...
Neurophilosophy
0.778375
96,242
McCulloch and Pitts were the first to hypothesize that neurons could be used to implement a logical calculus that could explain cognition. They used their toy neurons to develop logic gates that could make computations. However these developments failed to take hold in the psychological sciences and neuroscience until ...
Neurophilosophy
0.778375
96,243
Computational neuroscience began in the 1930s and 1940s with two groups of researchers. The first group consisted of Alan Turing, Alonzo Church and John von Neumann, who were working to develop computing machines and the mathematical underpinnings of computer science. This work culminated in the theoretical development...
Neurophilosophy
0.778375
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Below is a list of specific issues important to philosophy of neuroscience: "The indirectness of studies of mind and brain" "Computational or representational analysis of brain processing" "Relations between psychological and neuroscientific inquiries" Modularity of mind What constitutes adequate explanation in neurosc...
Neurophilosophy
0.778375
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Many of the philosophical controversies surrounding computational neuroscience involve the role of simulation and modeling as explanation. Carl Craver has been especially vocal about such interpretations. Jones and Love wrote an especially critical article targeted at Bayesian behavioral modeling that did not constrain...
Neurophilosophy
0.778375
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Many of the methods and techniques central to neuroscientific discovery rely on assumptions that can limit the interpretation of the data. Philosophers of neuroscience have discussed such assumptions in the use of functional magnetic resonance imaging, dissociation in cognitive neuropsychology, single unit recording, a...
Neurophilosophy
0.778375
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Many philosophers of neuroscience criticize fMRI for relying too heavily on this assumption. Michael Anderson points out that subtraction-method fMRI misses a lot of brain information that is important to the cognitive processes. Subtraction fMRI only shows the differences between the task activation and the control ac...
Neurophilosophy
0.778375
96,248
It is commonly understood in neuroscience that information is encoded in the brain by the firing patterns of neurons. Many of the philosophical questions surrounding the neural code are related to questions about representation and computation that are discussed below. There are other methodological questions including...
Neurophilosophy
0.778375
96,249
The computational theory of mind has been widespread in neuroscience since the cognitive revolution in the 1960s. This section will begin with a historical overview of computational neuroscience and then discuss various competing theories and controversies within the field.
Neurophilosophy
0.778375
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Neurophilosophy or philosophy of neuroscience is the interdisciplinary study of neuroscience and philosophy that explores the relevance of neuroscientific studies to the arguments traditionally categorized as philosophy of mind. The philosophy of neuroscience attempts to clarify neuroscientific methods and results usin...
Neurophilosophy
0.778375
96,251
Organoiodine compounds are prepared by numerous routes, depending on the degree and regiochemistry of iodination sought as well as the nature of the precursors. The direct iodination with I2 is employed with unsaturated substrates: RHC=CH2 + I2 → RHIC-CIH2This reaction is used to determine the iodine number, an indicat...
Alkyl iodide
0.778375
96,252
It was announced during Google's "Made By Google" event on 4 October 2017. It was released for sale on January 27, 2018. With a flashing light emitting diode (LED) that indicates it is recording, Google Clips automatically captures video clips at moments its machine learning algorithms determine to be interesting or re...
Google Clips
0.778374
96,253
Moving bed heat exchangers can be used for cooling or warming of all free-flowing bulk materials which correspond to the requirements of the apparatus, concerning grain size and angle of repose. The heat exchangers often can be found after rotary kilns and dryers to cool e.g. mineral (quartz sand, Ilmentit, etc.) or ch...
Moving-bed heat exchanger
0.778373
96,254
The Addis Ababa Fistula Hospital in Ethiopia successfully treats women with obstetric fistulae, even in less than desirable environments. As a result, the UNFPA gathered partners in London in 2001, and officially launched an international initiative to address obstetric fistulae later in 2003. Partners in this initiati...
Obstetric fistula
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Certain regions also do not have enough maternal care clinics that are equipped, willing to treat fistula patients, and adequately staffed. At the Evangelical Hospital of Bemberéke in Benin, only one expatriate volunteer obstetrics and gynecology doctor is available a few months per year, with one certified nurse and s...
Obstetric fistula
0.778371
96,256
Through the past years, the MPS method has been applied in a wide range of engineering applications including Nuclear Engineering (e.g. Koshizuka et al., 1999; Koshizuka and Oka, 2001; Xie et al., 2005), Coastal Engineering (e.g. Gotoh et al., 2005; Gotoh and Sakai, 2006), Environmental Hydraulics (e.g. Shakibaeina and...
Moving particle semi-implicit method
0.77837
96,257
The MPS method is used to solve the Navier-Stokes equations in a Lagrangian framework. A fractional step method is applied which consists of splitting each time step in two steps of prediction and correction. The fluid is represented with particles, and the motion of each particle is calculated based on the interaction...
Moving particle semi-implicit method
0.77837
96,258
In the carbon tetrachloride molecule, four chlorine atoms are positioned symmetrically as corners in a tetrahedral configuration joined to a central carbon atom by single covalent bonds. Because of this symmetric geometry, CCl4 is non-polar. Methane gas has the same structure, making carbon tetrachloride a halomethane....
CCl4
0.778369
96,259
In probability theory, a logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal distribution, and t is the standard logistic function, then X = t(Y) has a logit-normal distribution; likewise, if X is logit-normally dist...
Logit-normal distribution
0.77836
96,260
Monohedral pentagonal tiling type 6 has the same topology, but two edge lengths and a lower p2 (2222) wallpaper group symmetry:
Prismatic pentagonal tiling
0.77836
96,261
In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. It is named as a triangular tiling elongated by rows of squares, and given Schläfli symbol {3,6}:e. Conway calls it a isosnub quadrille.There are 3 regular and 8 semireg...
Prismatic pentagonal tiling
0.778359
96,262
Now more than ever, visibility and optimization of in-ground assets are vital to our industry. The PODS organization maintains 4 strategic goals:
Pipeline Open Data Standard
0.778359
96,263
To reduce the game complexity, researchers have modified these complex games by reducing the size of the board, or the number of pieces, or both. Computer chess is one of the oldest domains of artificial intelligence, having begun in the early 1930s. Claude Shannon proposed formal criteria for evaluating chess moves in...
Syzygy (tablebase)
0.778355
96,264
However, for an equation in which the stationary solution is reached after a finite time, the uniqueness fails. This happens for example for the equation dy/dt = ay 2/3, which has at least two solutions corresponding to the initial condition y(0) = 0 such as: y(t) = 0 or y ( t ) = { ( a t 3 ) 3 t < 0 0 t ≥ 0 , {\displa...
Cauchy-Lipschitz theorem
0.778353
96,265
{\displaystyle \varphi _{k+1}(t)=y_{0}+\int _{t_{0}}^{t}f(s,\varphi _{k}(s))\,ds.} It can then be shown, by using the Banach fixed-point theorem, that the sequence of "Picard iterates" φk is convergent and that the limit is a solution to the problem. An application of Grönwall's lemma to |φ(t) − ψ(t)|, where φ and ψ ar...
Cauchy-Lipschitz theorem
0.778353
96,266
The proof relies on transforming the differential equation, and applying the Banach fixed-point theorem. By integrating both sides, any function satisfying the differential equation must also satisfy the integral equation y ( t ) − y ( t 0 ) = ∫ t 0 t f ( s , y ( s ) ) d s . {\displaystyle y(t)-y(t_{0})=\int _{t_{0}}^{...
Cauchy-Lipschitz theorem
0.778353
96,267
We have established that the Picard's operator is a contraction on the Banach spaces with the metric induced by the uniform norm. This allows us to apply the Banach fixed-point theorem to conclude that the operator has a unique fixed point. In particular, there is a unique function φ ∈ C ( I a ( t 0 ) , B b ( y 0 ) ) {...
Cauchy-Lipschitz theorem
0.778353
96,268
Now let's prove that this operator is a contraction mapping. Given two functions φ 1 , φ 2 ∈ C ( I a ( t 0 ) , B b ( y 0 ) ) {\displaystyle \varphi _{1},\varphi _{2}\in {\mathcal {C}}(I_{a}(t_{0}),B_{b}(y_{0}))} , in order to apply the Banach fixed-point theorem we require ‖ Γ φ 1 − Γ φ 2 ‖ ∞ ≤ q ‖ φ 1 − φ 2 ‖ ∞ , {\di...
Cauchy-Lipschitz theorem
0.778353
96,269
We will proceed to apply the Banach fixed-point theorem using the metric on C ( I a ( t 0 ) , B b ( y 0 ) ) {\displaystyle {\mathcal {C}}(I_{a}(t_{0}),B_{b}(y_{0}))} induced by the uniform norm ‖ φ ‖ ∞ = sup t ∈ I a | φ ( t ) | . {\displaystyle \|\varphi \|_{\infty }=\sup _{t\in I_{a}}|\varphi (t)|.} We define an opera...
Cauchy-Lipschitz theorem
0.778353
96,270
In mathematics, specifically the study of differential equations, the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem has a unique solution. It is also known as Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named ...
Cauchy-Lipschitz theorem
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The Picard–Lindelöf theorem shows that the solution exists and that it is unique. The Peano existence theorem shows only existence, not uniqueness, but it assumes only that f is continuous in y, instead of Lipschitz continuous. For example, the right-hand side of the equation dy/dt = y 1/3 with initial condition y(0) =...
Cauchy-Lipschitz theorem
0.778353
96,272
Years of working so closely with radioactive materials finally caught up with Joliot-Curie and she was diagnosed with leukemia. She had been accidentally exposed to polonium when a sealed capsule of the element exploded on her laboratory bench in 1946. Treatment with antibiotics and a series of operations relieved her ...
Irène Joliot-Curie
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By then, the application of radioactive materials for use in medicine was growing and this discovery allowed radioactive materials to be created quickly, cheaply, and plentifully. The Nobel Prize for chemistry in 1935 brought with it fame and recognition from the scientific community and Joliot-Curie was awarded a prof...
Irène Joliot-Curie
0.778352
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The Solvay Conferences consisted of prominent scientists in the physics and chemistry community. Irene and her husband presented their theory and results to their fellow scientists, but they received criticism of their finding from most of the 46 scientists attending. However they were able to build on the controversia...
Irène Joliot-Curie
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Nobel Prize in Chemistry in 1935 for the discovery of artificial radioactivity with Frédéric Joliot-Curie. Barnard Gold Medal for Meritorious Service to Science in 1940 with Frédéric Joliot-Curie. Officer of the Legion of Honor.Her name was added to the Monument to the X-ray and Radium Martyrs of All Nations erected in...
Irène Joliot-Curie
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Irène studied in this environment for about two years.Irène and her sister Ève were sent to Poland to spend the summer with their Aunt Bronia (Marie's sister) when Irène was thirteen. Irène's education was so rigorous that she still had a German and trigonometry lesson every day of that break. Irène re-entered a more o...
Irène Joliot-Curie
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She received a military medal for her assistance in X-ray facilities in France and Belgium.After the war, Irène returned to the Sorbonne in Paris to complete her second baccalaureate degree in mathematics and physics in 1918. Irène then went on to work as her mother's assistant, teaching radiology at the Radium Institu...
Irène Joliot-Curie
0.778352
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Irène Joliot-Curie (French: ; née Curie; 12 September 1897 – 17 March 1956) was a French chemist, physicist and politician, the elder daughter of Pierre Curie and Marie Skłodowska–Curie, and the wife of Frédéric Joliot-Curie. Jointly with her husband, Joliot-Curie was awarded the Nobel Prize in Chemistry in 1935 for t...
Irène Joliot-Curie
0.778352
96,279
Subgroups of a finite p-group G, ordered by inclusion The Möbius function is if H 1 {\displaystyle H_{1}} is a normal subgroup of H 2 {\displaystyle H_{2}} and H 2 / H 1 ≅ ( Z / p Z ) k {\displaystyle H_{2}/H_{1}\cong (\mathbb {Z} /p\mathbb {Z} )^{k}} and it is 0 otherwise. This is a theorem of Weisner (1935). Partitio...
Generalized Möbius function
0.778351
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The Möbius function corresponds to the sequence (1, −1, 0, 0, 0, ... ) of coefficients of the formal power series 1 − t, and the zeta function corresponds to the sequence of coefficients (1, 1, 1, 1, ...) of the formal power series ( 1 − t ) − 1 = 1 + t + t 2 + t 3 + ⋯ {\displaystyle (1-t)^{-1}=1+t+t^{2}+t^{3}+\cdots }...
Generalized Möbius function
0.778351
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Natural numbers with their usual order The Möbius function is and Möbius inversion is called the (backwards) difference operator. Geometrically, this corresponds to the discrete number line. The convolution of functions in the incidence algebra corresponds to multiplication of formal power series: see the discussion of...
Generalized Möbius function
0.778351
96,282
Positive integers ordered by divisibility The convolution associated to the incidence algebra for intervals becomes the Dirichlet convolution, hence the Möbius function is μ(a, b) = μ(b/a), where the second "μ" is the classical Möbius function introduced into number theory in the 19th century. Finite subsets of some s...
Generalized Möbius function
0.778351
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The reduced incidence algebra consists of functions which assign the same value to any two intervals which are equivalent in an appropriate sense, usually meaning isomorphic as posets. This is a subalgebra of the incidence algebra, and it clearly contains the incidence algebra's identity element and zeta function. Any ...
Generalized Möbius function
0.77835
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Incidence algebras of locally finite posets were treated in a number of papers of Gian-Carlo Rota beginning in 1964, and by many later combinatorialists. Rota's 1964 paper was: Rota, Gian-Carlo (1964), "On the Foundations of Combinatorial Theory I: Theory of Möbius Functions", Zeitschrift für Wahrscheinlichkeitstheorie...
Generalized Möbius function
0.77835
96,285
In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative ring with unity. Subalgebras called reduced incidence algebras give a natural construction of various types of generating functions used in combinatorics and nu...
Generalized Möbius function
0.77835
96,286
The 3Doodler is a 3D pen developed by Peter Dilworth, Maxwell Bogue, and Daniel Cowen of WobbleWorks, Inc. (formerly WobbleWorks LLC). The 3Doodler works by extruding heated plastic that cools almost instantly into a solid, stable structure, allowing for the free-hand creation of three-dimensional objects. It utilizes ...
3Doodler
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96,287
The difference in the fluid densities divided by their sum is defined as the Atwood number, A. For A close to 0, RT instability flows take the form of symmetric "fingers" of fluid; for A close to 1, the much lighter fluid "below" the heavier fluid takes the form of larger bubble-like plumes.This process is evident not ...
Rayleigh-Taylor instabilities
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96,288
Programs in Logistics Engineering Dalian Maritime University – Masters Program in Logistics Engineering & Management Shanghai Maritime University – Bachelors & Doctoral Programs in Logistics Engineering South China University of Technology – Masters and Ph.D. Programs in Logistics Engineering and Management Hong Kong U...
Logistic engineering
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96,289
The local minimum of total cost of the manufacturing operation is getting replaced by the global minimum of total cost of the whole chain, resulting in better profitability for the chain members and hence lower costs for the products. Logistics engineering as a discipline is a very important aspect of systems engineeri...
Logistic engineering
0.778342
96,290
In planetary geology, a corona (plural: coronae ) is an oval-shaped feature. Coronae appear on both the planet Venus and Uranus's moon Miranda and may be formed by upwellings of warm material below the surface.
Corona (planetary geology)
0.778341
96,291
The final version of the plan aims to reduce carbon dioxide emissions from electrical power generation by 32 percent by 2030, relative to 2005 levels. The plan is focused on reducing emissions from coal-burning power plants, as well as increasing the use of renewable energy, and energy conservation. White House officia...
Clean Power Plan
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96,292
Odyssey Space Research is part of one of the two COTS winning teams: SpaceX. Odyssey's role will include support of the Dragon vehicle guidance, navigation and control (GN&C) development, selected simulation and test-bed development, related analyses, systems engineering and operations. == References ==
Odyssey Space Research
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The EPA estimates the Clean Power Plan will reduce the pollutants that contribute to smog and soot by 25 percent, and the reduction will lead to net climate and health benefits of an estimated $25 billion to $45 billion per year in 2030. That includes the avoidance of 140,000 to 150,000 asthma attacks among children an...
Clean Power Plan
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Organocatalysis offers several advantages. There is no need for metal-based catalysis thus making a contribution to green chemistry. In this context, simple organic acids have been used as catalyst for the modification of cellulose in water on multi-ton scale. When the organocatalyst is chiral an avenue is opened to as...
McMillan catalyst
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In organic chemistry, organocatalysis is a form of catalysis in which the rate of a chemical reaction is increased by an organic catalyst. This "organocatalyst" consists of carbon, hydrogen, sulfur and other nonmetal elements found in organic compounds. Because of their similarity in composition and description, they a...
McMillan catalyst
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The authors did, however, find that a simple reversal of the strategy ("contrarian Bollinger Band") produced positive returns in a variety of markets. Similar results were found in another study, which concluded that Bollinger Band trading strategies may be effective in the Chinese marketplace, stating: "we find signif...
Bollinger Bands
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Security price returns have no known statistical distribution, normal or otherwise; they are known to have fat tails, compared to a normal distribution. The sample size typically used, 20, is too small for conclusions derived from statistical techniques like the central limit theorem to be reliable. Such techniques usu...
Bollinger Bands
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In organometallic chemistry, metal–halogen exchange is a fundamental reaction that converts an organic halide into an organometallic product. The reaction commonly involves the use of electropositive metals (Li, Na, Mg) and organochlorides, bromides, and iodides. Particularly well-developed is the use of metal–halogen ...
Lithium–halogen exchange
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It is not a salt metathesis reaction, as no salt is produced. Lithium–halogen exchange is frequently used to prepare vinyl-, aryl- and primary alkyllithium reagents. Vinyl halides usually undergo lithium–halogen exchange with retention of the stereochemistry of the double bond.
Lithium–halogen exchange
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