page_content stringlengths 51 3.15k |
|---|
Supersymmetric Quantum Mechanics Example Supersymmetric_Quantum_Mechanics > Example Define the supercommutator [,} as follows: Between two bosonic operators or a bosonic and a fermionic operator, it is none other than the commutator but between two fermionic operators, it is an anticommutator. Then, x and p are bosonic... |
History of calculus Greece History_of_calculus > Early precursors of calculus > Ancient > Greece From the age of Greek mathematics, Eudoxus (c. 408–355 BC) used the method of exhaustion, which foreshadows the concept of the limit, to calculate areas and volumes, while Archimedes (c. 287–212 BC) developed this idea furt... |
Real-time path planning Indicative Route Method (IRM) Real-time_path_planning > Methods > Local > Indicative Route Method (IRM) The indicative route method uses a control path towards the target and an attraction point located at the target. Algorithms are often used to find the control path, which is oftentimes the pa... |
Reverse Osmosis Water Purification Unit Remineralisation and pH adjustment Reverse_Osmosis_Water_Purification_Unit > Desalination > Remineralisation and pH adjustment The desalinated water is stabilized to protect downstream pipelines and storage, usually by adding lime or caustic soda to prevent corrosion of concrete-... |
Therapeutic hypothermia Mechanism Therapeutic_hypothermia > Mechanism It is by moderating the disruption of homeostasis caused by a blockage of blood flow that many now postulate, results in hypothermia's ability to minimize the trauma resultant from ischemic injuries.Targeted temperature management may also help to re... |
Performance and modelling of AC transmission Propagation constant Performance_and_modelling_of_AC_transmission > Terminologies > Propagation constant The propagation constant of the sinusoidal electromagnetic wave is a measure of the change undergone by the amplitude and phase of the wave as it propagates in a given di... |
Mitosis inducer protein kinase cdr2 Summary Mitosis_inducer_protein_kinase_cdr2 Cdr2 is a serine/threonine protein kinase mitotic regulator in the fission yeast S. pombe. It is encoded by the P87050 2247 bp ORF on the cosmid 57A10. The protein is 775 amino acids in length. Cdr2 is a member of the GIN4 family of kinases... |
Amount of substance History Amount_of_substance > History However, this was not sufficient to convince all scientists of the existence of atoms and molecules, many considered it simply being a useful tool for calculation. 1834: Faraday states his Laws of electrolysis, in particular that "the chemical decomposing action... |
Change ringing Plain hunt Change_ringing > Changes > Method ringing > Plain hunt In method ringing, plain hunt is the simplest form of generating changing permutations in a continuous fashion, and is a fundamental building-block of many change ringing methods. The accompanying diagram shows plain hunt on six bells. The... |
Intracellular antibody-mediated degradation Mechanism of action Intracellular_antibody-mediated_degradation > Mechanism of action In IAMD, the neutralization of the pathogen follows a non-cytotoxic mechanism. That is, the infected cell is not attacked as in Antibody-dependent cell-mediated cytotoxicity, instead the vir... |
Opticks The Queries Opticks > The Queries Rather, he declares: "Is not Light a Body?" Not only does this form indicate that Newton had an answer, but that it may go on for many pages. Clearly, as Stephen Hales (a firm Newtonian of the early eighteenth century) declared, this was Newton's mode of explaining "by Query." |
Ferritin Mitochondria Ferritin > Function > Mitochondria Mitochondrial ferritin has many roles pertaining to molecular function. It participates in ferroxidase activity, binding, iron ion binding, oxidoreductase activity, ferric iron binding, metal ion binding as well as transition metal binding. Within the realm of bi... |
Solar powered Concentrated solar power Solar_technology > Concentrated solar power In all of these systems, a working fluid is heated by the concentrated sunlight, and is then used for power generation or energy storage. Designs need to account for the risk of a dust storm, hail, or another extreme weather event that c... |
Model based definition Summary Model_based_definition Model-based definition (MBD), sometimes called digital product definition (DPD), is the practice of using 3D models (such as solid models, 3D PMI and associated metadata) within 3D CAD software to define (provide specifications for) individual components and product... |
Timeline of United States inventions (1946–1991) Post-war and the late 1940s (1946–1949) Timeline_of_United_States_inventions_(1946–1991) > Cold War (1946–1991) > Post-war and the late 1940s (1946–1949) With American automakers interested in durable crash test dummies that could be tested and retested while yielding ba... |
OSSICS Services OSSICS > Services Services provided by OSSICS include consultancy in business process reengineering, content generation for building up information systems, system software development for Linux environments, porting of existing applications to Linux, database services based on PostgreSQL and MySQL, and... |
Decider (Turing machine) Functions computable by total Turing machines Decider_(Turing_machine) > Functions computable by total Turing machines In practice, many functions of interest are computable by machines that always halt. A machine that uses only finite memory on any particular input can be forced to halt for ev... |
Algebraic de Rham cohomology de Rham cohomology Kahler_differentials > Higher differential forms and algebraic de Rham cohomology > de Rham cohomology The hypercohomology of the de Rham complex of sheaves is called the algebraic de Rham cohomology of X over Y and is denoted by H dR n ( X / Y ) {\displaystyle H_{\text{d... |
Kepler-37b Orbit Kepler-37b > Characteristics > Orbit Kepler-37b orbits its parent star at a distance of about 15 million kilometers (9.3 million miles), with a period of roughly 13 days at a distance of 0.1 AU (compared to Mercury's distance from the Sun, which is about 0.38 AU). The outer two planets in the system ha... |
Forward volatility Underlying principle Forward_volatility > Underlying principle The variance is the square of differences of measurements from the mean divided by the number of samples. The standard deviation is the square root of the variance. The standard deviation of the continuously compounded returns of a financ... |
Live, virtual, and constructive Simulator Construct LVC_Continuum > Simulator Construct The Simulator Construct is a combination of Virtual and Constructive (VC), and is composed of humans operating simulated devices in lieu of Live operational systems. The Simulator Construct consists of three components: A locally ne... |
DISC assessment Theory DISC_assessment > Theory The first dimension is whether a person views their environment as favorable or unfavorable. The second dimension is whether a person perceives themselves as having control or lack of control over their environment. == References == |
Internet tracking Protection through information overflow Internet_privacy > Risks of Internet privacy > Reduction of risks to Internet privacy > Protection through information overflow Also, in order to stay unobserved, it can hence be better to blend in with the others than trying to use for example encryption techno... |
History of the International System of Units Non-SI units accepted for use with SI History_of_the_International_System_of_Units > Related units > Non-SI units accepted for use with SI The tonne, litre, and hectare were adopted by the CGPM in 1879 and have been retained as units that may be used alongside SI units, havi... |
Non-communicable disease Diabetes Non-communicable_disease > Key diseases > Diabetes Type 2 Diabetes Mellitus is a chronic condition which is largely preventable and manageable but difficult to cure. Management concentrates on keeping blood sugar levels as close to normal ("euglycemia") as possible without presenting u... |
Plutonium Nuclear fission Plutonium > Characteristics > Nuclear fission Plutonium is a radioactive actinide metal whose isotope, plutonium-239, is one of the three primary fissile isotopes (uranium-233 and uranium-235 are the other two); plutonium-241 is also highly fissile. To be considered fissile, an isotope's atomi... |
Cloudlet Motivation Cloudlet > Motivation Many mobile services split the application into a front-end client program and a back-end server program following the traditional client-server model. The front-end mobile application offloads its functionality to the back-end servers for various reasons such as speeding up pr... |
Phlebotomus papatasi Life stages Phlebotomus_papatasi > Life stages Female P. papatasi may perform this mating process with multiple males per gonadotrophic cycle, resulting in offspring with more favorable characteristics for survival, possibly through post-copulatory sexual selection. It is not uncommon for females t... |
Dielectric heating Mechanism Microwave_heating > Mechanism Temperature is related to the average kinetic energy (energy of motion) of the atoms or molecules in a material, so agitating the molecules in this way increases the temperature of the material. Thus, dipole rotation is a mechanism by which energy in the form o... |
Thromboembolic disease Parodoxical embolism Venous_thromboembolism > Classification > Parodoxical embolism Systemic embolism of venous origin can occur in patients with an atrial or ventricular septal defect, or an arteriovenous connection in the lung, through which an embolus may pass into the arterial system. Such an... |
Sociocultural evolution Neoevolutionism Sociocultural_evolution > Modern theories > Neoevolutionism In the fifth, they harness nuclear energy. White introduced a formula, P=E·T, where E is a measure of energy consumed, and T is the measure of efficiency of technical factors utilising the energy. This theory is similar ... |
Fat embolism Prevention Fat_embolism_syndrome > Prevention Administration of corticosteroids for 2 to 3 days is not associated with increased rates of infection. However, there is insufficient data to support the use of methyprednisolone once FES is established.Heparin has been used in the prevention of venous thrombos... |
Ball (bearing) Grade Ball_(bearing) > Grade For a given lot there is a lot diameter variation, which is the difference between the mean diameter of the largest ball and the smallest ball of the lot.Sphericity refers to the amount of deviation from a true spherical form (out of roundness). This is measured by rotating a... |
Hamming distance Summary Hamming_cube In information theory, the Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions required to change one string into the other, or the minimum ... |
Epidemiology of tuberculosis History Giant_multinucleated_cell > History When one member of a family died from the disease, the other infected members would lose their health slowly. People believed this was caused by the original person with TB draining the life from the other family members.Although Richard Morton es... |
Mathematical system theory Graph dynamical systems Dynamical_systems_theory > Related fields > Graph dynamical systems The concept of graph dynamical systems (GDS) can be used to capture a wide range of processes taking place on graphs or networks. A major theme in the mathematical and computational analysis of graph d... |
Passive sign convention Active and passive components Passive_sign_convention > Explanation > Active and passive components Whichever is defined as positive, the other will be negative. The passive sign convention arbitrarily defines power flowing into the component (out of the circuit) as positive, so passive componen... |
Fourier Transform On L1 Table_of_Fourier_transforms > Fourier transform on function spaces > On Lp spaces > On L1 The definition of the Fourier transform by the integral formula f ^ ( ξ ) = ∫ R n f ( x ) e − i 2 π ξ ⋅ x d x {\displaystyle {\hat {f}}(\xi )=\int _{\mathbb {R} ^{n}}f(x)e^{-i2\pi \xi \cdot x}\,dx} is valid... |
Left-step periodic table Triangular Alternative_periodic_tables > Typology > Triangular Triangular tables have column widths of 2-8-18-32 or thereabouts. An early example, appearing in 1882, was provided by Bayley.Through the use of connecting lines, such tables make it easier to indicate analogous properties among the... |
Assignable variable Typing Variable_scope > Typing Variables often store simple data, like integers and literal strings, but some programming languages allow a variable to store values of other datatypes as well. Such languages may also enable functions to be parametric polymorphic. These functions operate like variabl... |
Mu problem Background Mu_problem > Background The supersymmetric Higgs mass parameter μ appears as the following term in the superpotential: μ Hu Hd . It is necessary to provide a mass for the fermionic superpartners of the Higgs bosons, i.e. the higgsinos, and it enters as well the scalar potential of the Higgs bosons... |
Speech organs Summary Speech_organs Aerodynamic energy refers to the airflow through the vocal tract. Its potential form is air pressure; its kinetic form is the actual dynamic airflow. Acoustic energy is variation in the air pressure that can be represented as sound waves, which are then perceived by the human auditor... |
Personality disorders ICD-11 Cluster_B_personality_disorders > Classification and symptoms > ICD-11 The symptoms are not due to the direct effects of a medication or substance, including withdrawal effects, and are not better accounted for by another mental disorder, a Disease of the Nervous System, or another medical ... |
Primality tests Probabilistic tests Primality_testing > Probabilistic tests Probabilistic tests are more rigorous than heuristics in that they provide provable bounds on the probability of being fooled by a composite number. Many popular primality tests are probabilistic tests. These tests use, apart from the tested nu... |
John von Neumann Quantum mutual information John_von_Neumann > Physics > Quantum mechanics > Quantum mutual information Quantum information theory is largely concerned with the interpretation and uses of von Neumann entropy. The von Neumann entropy is the cornerstone in the development of quantum information theory, wh... |
Richard Feynman Selected scientific works Richard_Feynman > Bibliography > Selected scientific works Pottinger (ed. ), Variational Calculations in Quantum Field Theory, World Scientific (published August 1, 1988), pp. 28–40, doi:10.1142/9789814390187_0003, ISBN 9971-50-500-2 Proceedings of the International Workshop at... |
David Hilbert Physics David_Hilbert > Contributions to mathematics and physics > Physics His work was a key aspect of Hermann Weyl and John von Neumann's work on the mathematical equivalence of Werner Heisenberg's matrix mechanics and Erwin Schrödinger's wave equation, and his namesake Hilbert space plays an important ... |
Symmetry operation Summary Symmetry_operation In group theory, geometry, representation theory and molecular geometry, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, as transformations of an object in space, rotations, ... |
Sensor grid Uses Sensory_network > Uses Second, the sensors can be efficiently shared by different users and applications under flexible usage scenarios. Each user can access a subset of the sensors during a particular time period to run a specific application, and to collect the desired type of sensor data. Third, as ... |
Signal (IPC) POSIX signals SIGTERM > POSIX signals The signal is usually initiated by the process itself when it calls abort() function of the C Standard Library, but it can be sent to the process from outside like any other signal. SIGIOT indicates that the CPU has executed an explicit "trap" instruction (without a de... |
Bcache Features Bcache > Features As of version 3.10 of the Linux kernel, the following features are provided by bcache: The same cache device can be used for caching an arbitrary number of the primary storage devices Runtime attaching and detaching of primary storage devices from their caches, while mounted and in use... |
Linus Pauling Journal articles Linus_Pauling > Publications > Journal articles The Transition from One Extreme Bond Type to Another". Journal of the American Chemical Society. 54 (3): 988–1003. |
Nutrient budgeting Assumptions Nutrient_budgeting > Assumptions What's around you? Consider water sources that could run into your field. Is there a manufacturing facility nearby? What makes up these water sources can impact how you plant. |
Optical aberrations Theory of monochromatic aberration Optical_aberration > Theory of monochromatic aberration In a perfect optical system in the classical theory of optics, rays of light proceeding from any object point unite in an image point; and therefore the object space is reproduced in an image space. The introd... |
Experimental uncertainty analysis Discussion Experimental_uncertainty_analysis > Discussion The larger this ratio is, the more skew the derived-quantity PDF may be, and the more bias there may be. The Taylor-series approximations provide a very useful way to estimate both bias and variability for cases where the PDF of... |
Introduction to general relativity From special to general relativity Introduction_to_general_relativity > From special to general relativity Several physicists, including Einstein, searched for a theory that would reconcile Newton's law of gravity and special relativity. Only Einstein's theory proved to be consistent ... |
TI-Nspire series TI-Nspire TI-Nspire_series > Versions > TI-Nspire The numeric is similar in features to the TI-84, except with a bigger and higher resolution screen and a full keyboard. The feature that the numeric lacks is the ability to solve algebraic equations such as indefinite integrals and derivatives. To fill ... |
Topological complexity Examples Topological_complexity > Examples The topological complexity: TC(X) = 1 if and only if X is contractible. The topological complexity of the sphere S n {\displaystyle S^{n}} is 2 for n odd and 3 for n even. For example, in the case of the circle S 1 {\displaystyle S^{1}} , we may define a... |
Strategy (game theory) Choosing a strategy set Pure_strategy > Strategy set > Choosing a strategy set In applied game theory, the definition of the strategy sets is an important part of the art of making a game simultaneously solvable and meaningful. The game theorist can use knowledge of the overall problem, that is t... |
Photosynthetic organism Summary Photoautotrophism Photoautotrophs are organisms that use light energy and inorganic carbon to produce organic materials. Eukaryotic photoautotrophs absorb energy through the chlorophyll molecules in their chloroplasts while prokaryotic photoautotrophs use chlorophylls and bacteriochlorop... |
Binding problem Behavioral experiments Binding_problem > Feature integration theory > Experimental work > Behavioral experiments The data shows a behavioral relevance of binding information that is linked to the animal's reaction time. This includes the involvement of the prefrontal cortex targeted by the dorsal and ve... |
Scale (map) The equirectangular projection Scale_(map) > Point scale (or particular scale) > Three examples of normal cylindrical projection > The equirectangular projection (But see addendum). Even if a distance along this line of constant planar angle could be worked out, its relevance is questionable since such a li... |
Maximum spacing estimation Sensitivity Maximum_spacing_estimation > Properties > Sensitivity The corresponding points on the distribution should now fall between y L = F ( x − δ , θ ^ ) {\displaystyle y_{L}=F(x-\delta ,{\hat {\theta }})} and y U = F ( x + δ , θ ^ ) {\displaystyle y_{U}=F(x+\delta ,{\hat {\theta }})} . ... |
Biomolecular computing Engineering biocomputers Biological_computer > Engineering biocomputers These logic gates are activated by chemical agents that induce interactions between previously non-interacting proteins and trigger some observable change in the cell.Network-based biocomputers are engineered by nanofabricati... |
Slotted flap Principles of operation Wing_flap > Principles of operation Flaps increase the drag coefficient of an aircraft due to higher induced drag caused by the distorted spanwise lift distribution on the wing with flaps extended. Some flaps increase the wing area and, for any given speed, this also increases the p... |
Affective neuroscience Limbic system Affective_neuroscience > Affective neuroscience > Limbic system They are found by the brain stem and cerebrum. Olfactory bulb – The olfactory bulbs are the first cranial nerves. They are involved in smell (olfaction) and memory that is connected with specific smells. |
Balls into bins Applications Balls_into_bins_problem > Applications Hashing: consider a hash table in which all keys mapped to the same location are stored in a linked list. The efficiency of accessing a key depends on the length of its list. If we use a single hash function which selects locations with uniform probabi... |
Photosystem Reaction centers Photosystem > Reaction centers This funneling of energy is performed via resonance transfer, which occurs when energy from an excited molecule is transferred to a molecule in the ground state. This ground state molecule will be excited, and the process will continue between molecules all th... |
Algebraic stack Artin's Axioms Algebraic_stack > External links > Artin's Axioms https://stacks.math.columbia.edu/tag/07SZ - Look at "Axioms" and "Algebraic stacks" Artin Algebraization and Quotient Stacks - Jarod Alper |
Methylglyoxal pathway Enzymes and regulation Methylglyoxal_pathway > Enzymes and regulation The usual pathway converting GAP to pyruvate starts with the enzyme glyceraldehyde 3-phosphate dehydrogenase (Weber 711–13). Low phosphate levels inhibit GAP dehydrogenase; GAP is instead converted into DHAP by triosephosphate i... |
History of tuberculosis Journals History_of_tuberculosis > References > Journals 19 (3): 528–40. doi:10.1093/clinids/19.3.528. PMID 7811874. |
Message switching Store and forward delays Message_switching > Store and forward delays In a message-switching centre an incoming message is not lost when the required outgoing route is busy. It is stored in a queue with any other messages for the same route and retransmitted when the required circuit becomes free. Mes... |
Lectures on Theoretical Physics Partial Differential Equations in Physics Lectures_on_Theoretical_Physics > Volumes > Partial Differential Equations in Physics In his 1950 review, Golomb wrote that the book is "concise and very readable" and that its "chief merit" is "its skillful handling of complex problems". LaPaz g... |
PID control Origins PI_controller > History > Origins In subsequent applications, speed governors were further refined, notably by American scientist Willard Gibbs, who in 1872 theoretically analyzed Watt's conical pendulum governor. About this time, the invention of the Whitehead torpedo posed a control problem that r... |
Macrocyclic ligand Summary Macrocyclic_ligand In coordination chemistry, a macrocyclic ligand is a macrocyclic ring having at least nine atoms (including all hetero atoms) and three or more donor sites that serve as ligands that can bind to a central metal ion. Crown ethers and porphyrins are prominent examples. Macroc... |
Homology group Application in science and engineering Homology_group > Applications > Application in science and engineering Morse theory relates the dynamics of a gradient flow on a manifold to, for example, its homology. Floer homology extended this to infinite-dimensional manifolds. |
Wave Equation Inhomogeneous wave equation in one dimension Wave_Equation > Inhomogeneous wave equation in one dimension The inhomogeneous wave equation in one dimension is with initial conditions The function s(x, t) is often called the source function because in practice it describes the effects of the sources of wave... |
List of group theory topics Summary List_of_group_theory_topics Various physical systems, such as crystals and the hydrogen atom, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theor... |
Super Harvard Architecture Single-Chip Computer Summary Super_Harvard_Architecture_Single-Chip_Computer The Super Harvard Architecture Single-Chip Computer (SHARC) is a high performance floating-point and fixed-point DSP from Analog Devices. SHARC is used in a variety of signal processing applications ranging from audi... |
Entropy production Microscopic interpretation Entropy_production > Expressions for the entropy production > Microscopic interpretation The Joule expansion provides an opportunity to explain the entropy production in statistical mechanical (i.e., microscopic) terms. At the expansion, the volume that the gas can occupy i... |
Poly(p-phenylene) Summary Poly(p-phenylene) Sci. (1960), 47, 45) Initially, the chemical and thermal stability of the material drove interest in its synthesis. It was used in rocket nozzles and some fabrics requiring high thermal stability. Oxidation or the use of dopants is used to convert the non-conductive form to a... |
Parametrized complexity W hierarchy Fixed-parameter_tractability > Complexity classes > W hierarchy The W hierarchy is a collection of computational complexity classes. A parameterized problem is in the class W, if every instance ( x , k ) {\displaystyle (x,k)} can be transformed (in fpt-time) to a combinatorial circui... |
Homogeneous ideal Graded algebra Graded_module > Graded algebra The homogeneous elements of degree n are exactly the homogeneous polynomials of degree n. The tensor algebra T ∙ V {\displaystyle T^{\bullet }V} of a vector space V. The homogeneous elements of degree n are the tensors of order n, T n V {\displaystyle T^{n... |
Viable system model Regulatory aphorisms Viable_system_model > Rules for the viable system > Regulatory aphorisms These aphorisms are: It is not necessary to enter the black box to understand the nature of the function it performs. It is not necessary to enter the black box to calculate the variety that it potentially ... |
Biostatistics Use in high-throughput data Biostatistics > Developments and big data > Use in high-throughput data Due to high intercorrelation between the predictors (such as gene expression levels), the information of one predictor might be contained in another one. It could be that only 5% of the predictors are respo... |
Cardiac glycosides Clinical significance Cardiac_glycoside > Clinical significance On the other hand, cardiac arrhythmia are changes in heart rate, whether faster (tachycardia) or slower (bradycardia). Medicinal treatments for this condition work primarily to counteract tachycardia or atrial fibrillation by slowing dow... |
Serine protease inhibitor Conformational change and inhibitory mechanism Serine_protease_inhibitors > Conformational change and inhibitory mechanism Initially, the catalytic residue of the active site triad performs a nucleophilic attack on the peptide bond of the substrate. This releases the new N-terminus and forms a... |
Units of measurements Metric systems Unit_of_measurement > Systems of units > Metric systems US customary units are still the main system of measurement used in the United States outside of science, medicine, many sectors of industry, and some of government and military, and despite Congress having legally authorised m... |
Glossary of computer science A Glossary_of_computer_science > A The result of this process: an abstract concept-object created by keeping common features or attributes to various concrete objects or systems of study. agent architecture A blueprint for software agents and intelligent control systems depicting the arrang... |
Manin matrices Conceptual definition. Concept of "non-commutative symmetries" Manin_matrices > Definition > Conceptual definition. Concept of "non-commutative symmetries" It defines coaction. Indeed, to ensure that the map is homomorphism the only thing we need to check is that yi commute among themselves. Proposition. |
Kepler equation Inverse Kepler equation Kepler's_Equation > Inverse problem > Inverse Kepler equation InverseSeries, {M, 0, 10}]] InverseSeries, {M, 0, 10}]]These functions are simple Maclaurin series. Such Taylor series representations of transcendental functions are considered to be definitions of those functions. Th... |
Bs (programming language) Design and features Bs_(programming_language) > Design and features The bs language shares some features and syntax with BASIC, SNOBOL, and C, the two former presumably inspiring its name. Like BASIC, it can be used interactively, either executing statements immediately or collecting them into... |
Full repetend prime Base 10 Full_repetend_prime > Base 10 The case b = 10, p = 19 gives the cyclic number 052631578947368421 (18 digits); thus 19 is a full reptend prime. Not all values of p will yield a cyclic number using this formula; for example, p = 13 gives 076923 076923,, and p = 31 gives 032258064516129 0322580... |
Information theory and measure theory Multivariate mutual information Information_theory_and_measure_theory > Multivariate mutual information {\displaystyle \operatorname {I} (X_{1};\cdots ;X_{n-1}\mid X_{n})=\mathbb {E} _{X_{n}}{\big (}\operatorname {I} (X_{1};\cdots ;X_{n-1})\mid X_{n}{\big )}.} The first step in the... |
Molecular Orbital Noble gases Molecular_Orbital > Examples > Homonuclear diatomics > Noble gases Considering a hypothetical molecule of He2, since the basis set of atomic orbitals is the same as in the case of H2, we find that both the bonding and antibonding orbitals are filled, so there is no energy advantage to the ... |
Graph neural network Message passing layers Graph_neural_network > Message passing layers As such, stacking n {\displaystyle n} MPNN layers means that one node will be able to communicate with nodes that are at most n {\displaystyle n} "hops" away. In principle, to ensure that every node receives information from every... |
HSAB theory Modifications Soft_metal_ion > Modifications Additional one-parameter base strength scales have been presented. However, it has been shown that to define the order of Lewis base strength (or Lewis acid strength) at least two properties must be considered. For Pearson's qualitative HSAB theory the two proper... |
Holography Physics of holography Holographic_art > Physics of holography The process of producing a holographic reconstruction is explained below purely in terms of interference and diffraction. It is somewhat simplified but is accurate enough to give an understanding of how the holographic process works. For those unf... |
Belief–desire–intention software model Architecture Belief–desire–intention_software_model > BDI agents > Architecture In implemented systems, this means the agent has begun executing a plan. Plans: Plans are sequences of actions (recipes or knowledge areas) that an agent can perform to achieve one or more of its inten... |
Annular form Summary Annular_form A circle with r = 0 {\displaystyle r=0} (a single point) is a degenerate case. This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted. Specifically, a circle is a simple closed curve that divides the plane into two reg... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.