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Grothendieck construction Summary Grothendieck_construction The Grothendieck construction (named after Alexander Grothendieck) is a construction used in the mathematical field of category theory. |
Positive feedback In physiology Positive_feedback > Examples and applications > In biology > In physiology A number of examples of positive feedback systems may be found in physiology. One example is the onset of contractions in childbirth, known as the Ferguson reflex. When a contraction occurs, the hormone oxytocin c... |
Economic output Summary Economic_output Output in economics is the "quantity (or quality) of goods or services produced in a given time period, by a firm, industry, or country", whether consumed or used for further production. The concept of national output is essential in the field of macroeconomics. It is national ou... |
National security classification Corporate classification Classified_information > Corporate classification Private corporations often require written confidentiality agreements and conduct background checks on candidates for sensitive positions. In the U.S., the Employee Polygraph Protection Act prohibits private empl... |
Aqua ion Multiple hydrolysis reactions Metal_ions_in_aqueous_solution > Hydrolysis of aqua ions > Multiple hydrolysis reactions 5.4.The overall reaction for the loss of two protons from an aqua ion can be written as z+ - 2 H+⇌ (z-2)+However, the equilibrium constant for the loss of two protons applies equally well to t... |
Hexadecimal Distinguishing from decimal Intel_hexadecimal_notation > Representation > Written representation > Distinguishing from decimal TI-89 and 92 series uses a 0h prefix: 0h5A3 ALGOL 68 uses the prefix 16r to denote hexadecimal numbers: 16r5a3. Binary, quaternary (base-4) and octal numbers can be specified simila... |
Autoreceptor Summary Autoreceptor Autoreceptors on the presynaptic neuron will also detect this neurotransmitter and often function to control internal cell processes, typically inhibiting further release or synthesis of the neurotransmitter. Thus, release of neurotransmitter is regulated by negative feedback. Autorece... |
Genetic Algorithms Other metaheuristic methods GATTO > Related techniques > Related fields > Other metaheuristic methods Extremal optimization (EO) Unlike GAs, which work with a population of candidate solutions, EO evolves a single solution and makes local modifications to the worst components. This requires that a su... |
Bacteriophage T12 Signs and symptoms Bacteriophage_T12 > Role in pathogenesis > Streptococcal toxic shock syndrome > Signs and symptoms Strep TSS is an acute, febrile illness that begins with a mild viral-like syndrome characterized by fever, chills, myalgia, diarrhea, vomiting and nausea and involves minor soft-tissue... |
Hooke's Law Spring energy Force_constant > Derived formulae > Spring energy The potential energy Uel(x) stored in a spring is given by which comes from adding up the energy it takes to incrementally compress the spring. That is, the integral of force over displacement. Since the external force has the same general dire... |
Optogalvanic effect Introduction Optogalvanic_effect > Introduction In general, light will couple to atomic transitions if the energy difference between atomic levels is in resonance with some of the frequencies of the incoming light, thereby exchanging energy and momentum. In a gas discharge, the gaseous medium is aff... |
Quantum phase transition Quantum description Quantum_phase_transitions > Quantum description At nonzero temperatures, classical fluctuations with an energy scale of kBT compete with the quantum fluctuations of energy scale ħω. Here ω is the characteristic frequency of the quantum oscillation and is inversely proportion... |
Gather-scatter (vector addressing) Support Scatter_(vector_addressing) > Support Scatter/gather units were also a part of most vector computers, notably the Cray-1. In this case, the purpose was to efficiently store values in the limited resource of the vector registers. For instance, the Cray-1 had eight 64-word vecto... |
Cartesian tree As a binary search tree Cartesian_tree > Applications > As a binary search tree The Cartesian tree of a sorted sequence is just a path graph, rooted at its leftmost endpoint. Binary searching in this tree degenerates to sequential search in the path. However, a different construction uses Cartesian trees... |
Synthetic biological circuits Analog tuners Synthetic_biological_circuit > Example circuits > Analog tuners Using negative feedback and identical promoters, linearizer gene circuits can impose uniform gene expression that depends linearly on extracellular chemical inducer concentration. |
History of tuberculosis Ancient China History_of_tuberculosis > The East > Ancient China Gradually, after months and years of suffering, this lingering disease brings about death to the sufferer. Afterwards it is transferred to others until the whole family is wiped out." |
Class (complexity theory) Computational models Complexity_class > Background > Computational models While other models exist and many complexity classes are defined in terms of them (see section "Other models of computation"), the Turing machine is used to define most basic complexity classes. With the Turing machine, ... |
The Entropy Law and the Economic Process Conceptions of scarcity Nicholas_Georgescu-Roegen > Work > Magnum opus on The Entropy Law and the Economic Process > Conceptions of scarcity Georgescu-Roegen's principal argument is that economic scarcity is rooted in physical reality. Introducing the term 'low entropy' for valu... |
Radioisotope thermoelectric generators 90Sr Radioisotope_Thermoelectric_Generator > Fuels > 90Sr 90Sr has a high fission product yield in the fission of both 235U and 239Pu and is thus available in large quantities at a relatively low price if extracted from spent nuclear fuel. As 90Sr is a very reactive alkaline earth... |
Apache Pivot Architecture Apache_Pivot > Architecture Its classes are divided in the following categories: Core classes that enable the classes in the other categories to function WTK classes that provide user interface elements such as buttons and lists. These are built according to the model-view-controller architect... |
Q&A software Social and information structure Q&A_software > Mechanisms > Social and information structure A graph connecting topics to users, a social graph connecting users, and a graph connecting related questions. These connections help users find the topic that they are looking for and build a social connection wi... |
Isotope affinity tags Metabolic flux analysis using stable isotope labeling Radioisotopic_labeling > Stable isotope labeling > Metabolic flux analysis using stable isotope labeling Other proportions can occur depending on how much of the original metabolite follows the left side of the pathway versus the right side of ... |
EXR color filter array Fujifilm "EXR" color filter array EXR_color_filter_array > Modifications > Fujifilm "EXR" color filter array The main reason for this type of array is to contribute to pixel "binning", where two adjacent photosites can be merged, making the sensor itself more "sensitive" to light. Another reason ... |
Centrality Percolation centrality Closeness_(graph_theory) > Percolation centrality In all of these scenarios, a ‘contagion’ spreads over the links of a complex network, altering the ‘states’ of the nodes as it spreads, either recoverably or otherwise. For example, in an epidemiological scenario, individuals go from ‘s... |
Function series Summary Function_series In calculus, a function series is a series, where the summands are not just real or complex numbers but functions. |
Interference freedom Dijkstra's Principle of non-interference Interference_freedom > Dijkstra's Principle of non-interference Edsger W. Dijkstra introduced the principle of non-interference in EWD 117, "Programming Considered as a Human Activity", written about 1965. This principle states that: The correctness of the w... |
Dollar auction Analysis Dollar_auction > Analysis When a player is behind, they are indifferent between raising and dropping out. If the opponent drops out with probability p {\displaystyle p} , raising gives the player an expected payoff of p × 1 + ( 1 − p ) × 0 − 0.05. {\displaystyle p\times 1+(1-p)\times 0-0.05.} |
Infinitesimal Calculus Foundations Infinitesimal_Calculus > History > Foundations Laurent Schwartz introduced distributions, which can be used to take the derivative of any function whatsoever.Limits are not the only rigorous approach to the foundation of calculus. Another way is to use Abraham Robinson's non-standard ... |
Landau–Zener transition Multistate problem Landau–Zener_formula > Multistate problem A surprising fact about the solution of this model is coincidence of the exactly obtained transition probability matrix with its form obtained with a simple semiclassical independent crossing approximation. With some generalizations, t... |
Epicentral distance S-P time difference method Epicentral_distance > Measuring method > S-P time difference method Even if the depth of focus of an earthquake is very deep, it can still have a very short epicentral distance. When measuring the epicentral distance of an earthquake with a small epicentral distance, first... |
Endocrine gland Pituitary gland Endocrine_gland > Pituitary gland Most anterior pituitary hormones exhibit a diurnal rhythm of release, which is subject to modification by stimuli influencing the hypothalamus. Somatotropic hormone or growth hormone (GH) is an anabolic hormone that stimulates the growth of all body tiss... |
Lisp (programming language) Major dialects Lisp_(programming_language) > Major dialects It has many of the features of Lisp Machine Lisp (a large Lisp dialect used to program Lisp Machines), but was designed to be efficiently implementable on any personal computer or workstation. Common Lisp is a general-purpose progra... |
Unit hyperbola Summary Unit_hyperbola There the asymptotes of the unit hyperbola form a light cone. Further, the attention to areas of hyperbolic sectors by Gregoire de Saint-Vincent led to the logarithm function and the modern parametrization of the hyperbola by sector areas. When the notions of conjugate hyperbolas a... |
Supersymmetry The supersymmetry algebra Supersymmetric_theory > Applications > Extension of possible symmetry groups > The supersymmetry algebra Traditional symmetries of physics are generated by objects that transform by the tensor representations of the Poincaré group and internal symmetries. Supersymmetries, however... |
Noise Reduction Coefficient Summary Noise_Reduction_Coefficient The noise reduction coefficient (commonly abbreviated NRC) is a single number value ranging from 0.0 to 1.0 that describes the average sound absorption performance of a material. An NRC of 0.0 indicates the object does not attenuate mid-frequency sounds, b... |
Fatty-acid metabolism Fatty acid catabolism Fatty_acid_metabolism > Fatty acid catabolism The occurrence of high levels of ketones in the blood during starvation, a low carbohydrate diet, prolonged heavy exercise, or uncontrolled type 1 diabetes mellitus is known as ketosis, and, in its extreme form, in out-of-control ... |
Staggered fermion Simulating staggered fermions Staggered_fermion > Simulating staggered fermions Since simulations are done using the single-component action, simulating staggered fermions is very fast as this requires simulating only single-component Grassmann variables rather than four component spinors. The main co... |
Diploid cell Zygoidy and azygoidy Ploidy > Types of ploidy > Zygoidy and azygoidy It may be the natural state of some asexual species or may occur after meiosis. In diploid organisms the azygoid state is monoploid. (See below for dihaploidy.) |
Base (chemical) Summary Chemical_base If the aqueous solution is saturated with a given salt solute, any additional such salt precipitates out of the solution. In the more general Brønsted–Lowry acid–base theory (1923), a base is a substance that can accept hydrogen cations (H+)—otherwise known as protons. This does in... |
Second principle of thermodynamics Planck's proposition Second_principle_of_thermodynamics > Various statements of the law > Planck's proposition Planck offered the following proposition as derived directly from experience. This is sometimes regarded as his statement of the second law, but he regarded it as a starting ... |
Lester Allan Pelton Inventing the Pelton wheel Lester_Allan_Pelton > Inventing the Pelton wheel Pelton's ideas for improving the turbine water wheel came from his studies of mining equipment and operations in California's gold rush country. Summary descriptions of the local technology observed by Pelton, and of the sci... |
Hybrid sterility Post-copulation or fertilization mechanisms in animals Isolating_mechanisms > Genetics > Post-copulation or fertilization mechanisms in animals The Hmr gene, linked to the X chromosome and implicated in the viability of male hybrids between D. melanogaster and D. simulans, is a gene from the proto-onco... |
List of textbooks on classical mechanics and quantum mechanics Quantum mechanics List_of_textbooks_on_classical_mechanics_and_quantum_mechanics > Undergraduate > Quantum mechanics 3 (2nd ed.). Addison-Wesley. ISBN 978-0-8053-9065-0. |
Tuberculosis diagnosis Mantoux skin test Tuberculosis_diagnosis > Immunological test > Mantoux skin test The Mantoux skin test is used in the United States and is endorsed by the American Thoracic Society and Centers for Disease Control and Prevention (CDC).If a person has had a history of a positive tuberculin skin te... |
Banded Iron Formation Formation processes Banded_iron_formations > Origins > Formation processes Another theory is that mesobands are primary structures resulting from pulses of activity along mid-ocean ridges that change the availability of reduced iron on time scales of decades. In the case of granular iron formation... |
Real Analysis Sequences Real_Analysis > Scope > Sequences A sequence is a function whose domain is a countable, totally ordered set. The domain is usually taken to be the natural numbers, although it is occasionally convenient to also consider bidirectional sequences indexed by the set of all integers, including negati... |
Computational Fluid Dynamics Hierarchy of fluid flow equations Computational_fluid_mechanics > Hierarchy of fluid flow equations Assume that density variations are always and everywhere negligible except in the gravity term of the momentum-conservation equation (where density multiplies the gravitational acceleration).... |
Factorial Related sequences and functions Factorial > Related sequences and functions . That is, For example, 9!! = 1 × 3 × 5 × 7 × 9 = 945. |
Robert Parr Achievements and awards Robert_Parr > Achievements and awards Working with DuPont chemist Rudolph Pariser, Parr developed a method of computing approximate molecular orbitals for pi electron systems, published in 1953. Since an identical procedure was derived by John A. Pople the same year, it is generally ... |
Modified Newtonian Dynamics Overview Modified_Newtonian_Dynamics > Overview Alternatively, Milgrom's law can be viewed as leaving Newton's Second Law intact and instead modifying the inverse-square law of gravity, so that the true gravitational force on an object of mass m due to another of mass M is roughly of the for... |
Computer processor Summary Processor_(computing) However, it can also refer to other coprocessors, such as a graphics processing unit (GPU).Traditional processors are typically based on silicon; however, researchers have developed experimental processors based on alternative materials such as carbon nanotubes, graphene... |
Belief-Desire-Intention software model 'Pure' BDI Belief–desire–intention_software_model > BDI agent implementations > 'Pure' BDI Procedural Reasoning System (PRS) IRMA (not implemented but can be considered as PRS with non-reconsideration) UM-PRS OpenPRS Distributed Multi-Agent Reasoning System (dMARS) AgentSpeak(L) –... |
Causal Inference General Causal_Inference > Methodology > General Most of the efforts in causal inference are in the attempt to replicate experimental conditions. Epidemiological studies employ different epidemiological methods of collecting and measuring evidence of risk factors and effect and different ways of measur... |
Gravitation (book) Summary Gravitation_(book) The book contains 10 parts and 44 chapters, each beginning with a quotation. The bibliography has a long list of original sources and other notable books in the field. While this may not be considered the best introductory text because its coverage may overwhelm a newcomer,... |
Occupational Safety and Health Administration Enforcement Occupational_Safety_and_Health_Administration > Enforcement In determining the amount of the proposed penalty, OSHA must take into account the gravity of the alleged violation and the employer’s size of business, good faith, and history of previous violations. E... |
Volume of revolution Summary Solid_of_revolution In geometry, a solid of revolution is a solid figure obtained by rotating a plane figure around some straight line (the axis of revolution), which may not intersect the generatrix (except at its boundary). The surface created by this revolution and which bounds the solid... |
African Society for Bioinformatics and Computational Biology Objectives African_Society_for_Bioinformatics_and_Computational_Biology > Objectives Identify, promote and establish opportunities for networking. Encourage and develop bioinformatics and computational biology nodes. Increase awareness and promote the use of ... |
Dimensional stability (fabric) Significance Dimensional_stability_(fabric) > Significance The dimensional stability of textile materials is an important quality parameter. Failing and unstable materials can cause deforming of the garments or products. Shrinkage is tested at various stages, but most importantly before c... |
In Situ Oxidation Ozone In_Situ_Oxidation > Agents of Oxidization > Ozone While oxygen is a very strong oxidant, its elemental form O2 is not very soluble in water. This poses a problem in ground water remediation, because the chemical must be able to mix with water to remove the contaminant. Fortunately, ozone (O3) is... |
Quasi-experimental design Advantages Quasi-experimental_design > Advantages Also, this experimentation method is efficient in longitudinal research that involves longer time periods which can be followed up in different environments. Other advantages of quasi experiments include the idea of having any manipulations the... |
Large-conductance mechanosensitive channel Biological role Large-conductance_mechanosensitive_channel > Biological role Physical impacts or vibrations, though crucial for animals, have little effect on microbes such as E. coli. In comparison, osmotic force greatly affects individual cells or microbes within their aquat... |
Acute respiratory distress syndrome Prognosis Acute_respiratory_distress_syndrome > Prognosis The overall prognosis of ARDS is poor, with mortality rates of approximately 40%. Exercise limitation, physical and psychological sequelae, decreased physical quality of life, and increased costs and use of health care service... |
Serotonin-norepinephrine reuptake inhibitor Indications Serotonin–norepinephrine_reuptake_inhibitors > Indications SNRIs have been tested for treatment of the following conditions: Major depressive disorder (MDD) Posttraumatic stress disorder (PTSD) Generalized anxiety disorder (GAD) Social anxiety disorder (SAD) Obses... |
Switch mode power supply Transformer design Switch-mode_power_supply > Transformer design Any switched-mode power supply that gets its power from an AC power line (called an "off-line" converter) requires a transformer for galvanic isolation. Some DC-to-DC converters may also include a transformer, although isolation m... |
Elevation view CGI and computer-aided design Architectural_drafting > Drafting > CGI and computer-aided design Errors can be deleted, and the speed of drafting allows many permutations to be tried before the design is finalized. On the other hand, CAD drawing encourages a proliferation of detail and increased expectati... |
Machine ethics Algorithms and training Machine_ethics > Focuses of machine ethics > Algorithms and training AI paradigms have been debated over, especially in relation to their efficacy and bias. Nick Bostrom and Eliezer Yudkowsky have argued for decision trees (such as ID3) over neural networks and genetic algorithms ... |
History of probability Eighteenth century History_of_probability > Eighteenth century Jacob Bernoulli's Ars Conjectandi (posthumous, 1713) and Abraham De Moivre's The Doctrine of Chances (1718) put probability on a sound mathematical footing, showing how to calculate a wide range of complex probabilities. Bernoulli pro... |
HOXA9 Potential in Ovarian Cancer HOXA9 > Clinical significance > Pure erythroid leukemia > Potential in Ovarian Cancer HOXA9 has also been used as a potential biomarker for ovarian cancer. Because the homebox family of genes plays an essential role in development and differentiation, it is common to see malformations ... |
Vampire number Summary Vampire_number In number theory, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into two natural numbers each with half as many digits as the original number, where the two factors contain precisely all the digits of the... |
Accessibility apps Discriminative aspects of technology Accessibility_apps > Discriminative aspects of technology Additionally, there is a form of technology that allows people who have diabetes to monitor their blood glucose and administers insulin when required. However, this same technology poses a threat to individ... |
Experimental reactor Technical aspects Research_reactors > Technical aspects Research reactors are simpler than power reactors and operate at lower temperatures. They need far less fuel, and far less fission products build up as the fuel is used. On the other hand, their fuel requires more highly enriched uranium, typi... |
Generative topographic map Details of the algorithm Generative_topographic_map > Details of the algorithm The approach is strongly related to density networks which use importance sampling and a multi-layer perceptron to form a non-linear latent variable model. In the GTM the latent space is a discrete grid of points w... |
Central nervous system stimulant Mechanisms of action Central_nervous_system_stimulant > Mechanisms of action Some stimulants, such as some amphetamine derivatives and, notably, yohimbine, can decrease negative feedback by antagonizing regulatory autoreceptors. Adrenergic agonists, such as, in part, ephedrine, act by d... |
Complete orthonormal basis Summary Complete_orthogonal_system {\displaystyle V.} Under these coordinates, the inner product becomes a dot product of vectors. Thus the presence of an orthonormal basis reduces the study of a finite-dimensional inner product space to the study of R n {\displaystyle \mathbb {R} ^{n}} under... |
Steel arch bridge Function Steel_arch_bridge > Function The use of a through arch does not change the proportions or size of the arch: a large span will still require a tall arch, although this can now reach any height above the deck without obstructing traffic. The arch may also reach downwards at its sides, to either... |
Fractionation of carbon isotopes in oxygenic photosynthesis Photosynthesis reactions Fractionation_of_carbon_isotopes_in_oxygenic_photosynthesis > Photosynthesis reactions The chemical pathway of oxygenic photosynthesis fixes carbon in two stages: the light-dependent reactions and the light-independent reactions. The l... |
Advanced electronic signature Vision Advanced_electronic_signature > Vision The implementation of advanced electronic signatures under the specification of eIDAS serves several purposes. Business and public services processes, even those that go across borders can be safely expedited by using electronic signing. With e... |
Blind signature Summary Blind_signature In cryptography a blind signature, as introduced by David Chaum, is a form of digital signature in which the content of a message is disguised (blinded) before it is signed. The resulting blind signature can be publicly verified against the original, unblinded message in the mann... |
Regression model Prediction (interpolation and extrapolation) Regression_analysis > Prediction (interpolation and extrapolation) The further the extrapolation goes outside the data, the more room there is for the model to fail due to differences between the assumptions and the sample data or the true values. It is gene... |
Cartan connection Motivation Cartan_connection > Introduction > Motivation Another example is obtained by replacing the planes, as model surfaces, by spheres, which are homogeneous under the Möbius group of conformal transformations. There is no longer a unique sphere tangent to a smooth surface S at each point, since ... |
Killer activation receptors Physiology Killer_activation_receptor > Physiology To recapitulate, these ligands activate the NK, as we explained. However, before the activation, Killer Inhibition Receptors (KIRs) recognize certain molecules in the MHC class I of the hosted cell and get engaged with them. These molecules ... |
Capacitor Motor starters Parallel-plate_capacitor > Applications > Motor starters When the rotor comes close to operating speed, a centrifugal switch (or current-sensitive relay in series with the main winding) disconnects the capacitor. The start capacitor is typically mounted to the side of the motor housing. These a... |
Glossary of chemistry terms C Glossary_of_chemistry_terms > C cooling curve coordinate chemistry coordinate covalent bond See dipolar bond. coordination complex A chemical compound consisting of a central atom or ion, usually metallic and known as the coordination center, bonded to a surrounding array of other groups o... |
Osmometer Summary Osmometer Membrane osmometers measure the osmotic pressure of a solution separated from pure solvent by a semipermeable membrane.Osmometers are useful for determining the total concentration of dissolved salts and sugars in blood or urine samples. Osmometry is also useful in determining the molecular ... |
DNA synthesis Gene synthesis DNA_synthesis > Gene synthesis Artificial gene synthesis is the process of synthesizing a gene in vitro without the need for initial template DNA samples. In 2010 J. Craig Venter and his team were the first to use entirely synthesized DNA to create a self-replicating microbe, dubbed Mycopla... |
Polycarbonyl Summary Polycarbonyl Polycarbonyl, (also known as polymeric-CO, p-CO or poly-CO) is a solid, metastable, and explosive polymer of carbon monoxide. The polymer is produced by exposing carbon monoxide to high pressures. The structure of the solid appears amorphous, but may include a zig zag of equally-spaced... |
Antitubercular agents Treatment failure Drug-resistant_tuberculosis > Treatment failure Patients who fail treatment must be distinguished from patients who relapse. Patients who responded to treatment and appeared to be cured after completing a course of TB treatment are not classed as treatment failures, but as relaps... |
Light pressure Radiation pressure by emission Light_pressure > Theory > Radiation pressure by emission Just as a wave reflected from a body contributes to the net radiation pressure experienced, a body that emits radiation of its own (rather than reflected) obtains a radiation pressure again given by the irradiance of ... |
Fire history Tree-ring data Fire_history > Tree-ring data The growth record of a tree in seasonal climates is preserved in the growth rings in the stem wood; the field of dendrochronology is the study of the record of climate and other events preserved in the growth record. Each growth ring represents one year of life.... |
Ozone layer depletion Location of hole Ozone_depleting > Misconceptions > Location of hole Some people thought that the ozone hole should be above the sources of CFCs. However, CFCs are well mixed globally in the troposphere and stratosphere. The reason for occurrence of the ozone hole above Antarctica is not because t... |
Tensor order Summary Tensor In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space. Tensors may map between different objects such as vectors, scalars, and even other tensors. There are many types of tensors, including scalar... |
Loss of function By impact on protein sequence Sporadic_mutation > Classification of types > By impact on protein sequence (There can also be silent mutations in nucleotides outside of the coding regions, such as the introns, because the exact nucleotide sequence is not as crucial as it is in the coding regions, but th... |
User-defined function Summary User-defined_function A user-defined function (UDF) is a function provided by the user of a program or environment, in a context where the usual assumption is that functions are built into the program or environment. UDFs are usually written for the requirement of its creator. |
Justice as Fairness Fair equality of opportunity Difference_Principle > Second principle: the equality principle > Fair equality of opportunity This principle maintains that "offices and positions" have to be open to all, regardless of their social background, caste or gender. This principle is stronger than "formal eq... |
Chemical graph generator Symmetry groups for molecular graphs Chemical_graph_generator > Mathematical basis > Symmetry groups for molecular graphs For a set of elements, a permutation is a rearrangement of these elements. An example is given below: The second line of this table shows a permutation of the first line. Th... |
Triangle geometry Points, lines, and circles associated with a triangle Triangle_(geometry) > Points, lines, and circles associated with a triangle The circumcircle's radius is called the "circumradius". Thales' theorem implies that if the circumcenter is located on a side of the triangle, then the opposite angle is a ... |
Traction bronchiectasis Anti-inflammatories Traction_bronchiectasis > Management > Anti-inflammatories Long term use of high-dose inhaled corticosteroids can lead to adverse consequences such as cataracts and osteoporosis. It is not recommended for routine use in children. One commonly used therapy is beclometasone dip... |
Open mapping theorem (complex analysis) Proof Open_mapping_theorem_(complex_analysis) > Proof The image of the ball B, f(B) is a subset of the image of U, f(U). Thus w0 is an interior point of f(U). Since w0 was arbitrary in f(U) we know that f(U) is open. Since U was arbitrary, the function f is open. |
Multi-paradigm programming language Summary Multi-paradigm_programming_language Programming paradigms are a way to classify programming languages based on their features. Languages can be classified into multiple paradigms. Some paradigms are concerned mainly with implications for the execution model of the language, s... |
Social affordance Summary Social_affordance These social interactions include users’ responses, social accessibility and society related changes. Social affordances are not synonymous with mere factual, statistical frequency; on the contrary, the social normality of primitive forms of coordination can become normative,... |
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