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GalP (protein) Homeostasis GalP_(protein) > Homeostasis The GalP symporter links galactose and proton import, using the favorable proton concentration gradient to move galactose against its concentration gradient. However, this mechanism, if in isolation, would result in acidification of the cytoplasm and cessation of ... |
Mental energy Neurotransmitter Mental_energy > Neurotransmitter Many different neurotransmitters have been theoretically implicated in the control of mental energy. This has often been based on the effects of drugs acting on these neurotransmitters. These neurotransmitters include dopamine, norepinephrine, orexin, sero... |
Model trains Scratch building Model_railroading > Scratch building Laser machining techniques have extended this ability to thicker materials for scale steam and other locomotive types. Scratch builders may also make silicone rubber moulds of the parts they create, and cast them in various plastic resins (see Resin cas... |
Hardware-in-the-loop simulation Uses Hardware-in-the-loop_simulation > Uses In many cases, the most effective way to develop an embedded system is to connect the embedded system to the real plant. In other cases, HIL simulation is more efficient. The metric of development and testing efficiency is typically a formula t... |
Structural engineering theory Euler–Bernoulli beam equation Structural_engineering_theory > Euler–Bernoulli beam equation The Euler–Bernoulli beam equation defines the behaviour of a beam element (see below). It is based on five assumptions: Continuum mechanics is valid for a bending beam. The stress at a cross section... |
Law of superposition General sources Law_of_superposition > References > General sources Hamblin, W.K. The Earth's Dynamic Systems: A Textbook in Physical Geology, by W. Kenneth Hamblin, BYU, Provo, UT, Illus. William L. Chesser, Dennis Tasa, (Burgess Publishing Company, Minneapolis, Minnesota), c 1978, pg. 115, "The P... |
Decentralized information technology History Decentralized_information_technology > History These include, for example, the growing distrust of government generally, the spectacular demise of some of the most centralized regimes in the world (especially the Soviet Union) and the emerging separatist demands that seem to... |
Complete metric Some theorems Complete_metric > Some theorems That is, the union of countably many nowhere dense subsets of the space has empty interior. The Banach fixed-point theorem states that a contraction mapping on a complete metric space admits a fixed point. The fixed-point theorem is often used to prove the i... |
Pi interaction π-effects in biological systems Pi-interaction > π-effects in biological systems The nucleophile can be any of a broad range structures including nucleic acids, proteins, sugars or C=C bond of lipids or steroids. The van der Waals contact between S-CH3 unit of SAM and the aromatic face of a Trp residue, ... |
Stochastic gradient descent History Stochastic_gradient_descent > History SGD was gradually developed by several collectives during the 1950s. The scaling behavior of SGD (i.e. how the performance evaluation metric of interest (e.g. test loss) varies as the number of training steps varies) was found to follow a broken ... |
Quantization noise Uniform quantization and the 6 dB/bit approximation Quantization_noise > Design > Uniform quantization and the 6 dB/bit approximation The property of 6 dB improvement in SQNR for each extra bit used in quantization is a well-known figure of merit. However, it must be used with care: this derivation i... |
Variable-speed drive Acceleration control Variable_speed_drives > Reasons for using adjustable speed drives > Acceleration control An adjustable speed drive can often provide smoother operation compared to an alternative fixed speed mode of operation. For example, in a sewage lift station sewage usually flows through s... |
Area (geometry) Circles Area_(geometry) > Area formulas > Area of curved shapes > Circles Thus, the total area of the circle is πr2: A = πr2 (circle).Though the dissection used in this formula is only approximate, the error becomes smaller and smaller as the circle is partitioned into more and more sectors. The limit o... |
Permutation (music) Summary Permutation_(music) To receive the inversion of any prime, each number value is subtracted from 12 and the resulting number placed in the corresponding matrix cell (see twelve-tone technique). The retrograde inversion is the values of the inversion numbers read backwards. Therefore: A given ... |
Social discovery platform Developments Social_search_engine > Developments The security concerns can be classified into three categories: data privacy, data integrity and secure social search. Data privacy protection is defined as the way users can fully control their data and manage its accessibility. The solutions fo... |
Renal osteodystrophy Prognosis Renal_osteodystrophy > Prognosis Recovery from renal osteodystrophy has been observed following kidney transplantation. Renal osteodystrophy is a chronic condition with a conventional hemodialysis schedule. Nevertheless, it is important to consider that the broader concept of CKD-MBD, whi... |
Naive Set Theory (book) Summary Naive_Set_Theory_(book) See also Naive set theory for the mathematical topic.Naive Set Theory is a mathematics textbook by Paul Halmos providing an undergraduate introduction to set theory. Originally published by Van Nostrand in 1960, it was reprinted in the Springer-Verlag Undergraduat... |
Autoantigen Sex Autoantigen > Sex Involvement of sex steroids is indicated by that many autoimmune diseases tend to fluctuate in accordance with hormonal changes, for example: during pregnancy, in the menstrual cycle, or when using oral contraception. A history of pregnancy also appears to leave a persistent increased ... |
Optimistic locking Summary Optimistic_locking If the check reveals conflicting modifications, the committing transaction rolls back and can be restarted. Optimistic concurrency control was first proposed in 1979 by H. T. Kung and John T. Robinson.OCC is generally used in environments with low data contention. When conf... |
Beneficial AI Risks of unfriendly AI Friendly_artificial_intelligence > Risks of unfriendly AI The roots of concern about artificial intelligence are very old. Kevin LaGrandeur showed that the dangers specific to AI can be seen in ancient literature concerning artificial humanoid servants such as the golem, or the prot... |
Electronic configuration Other exceptions to Madelung's rule Electron_configurations > Atoms: Aufbau principle and Madelung rule > Other exceptions to Madelung's rule There are several more exceptions to Madelung's rule among the heavier elements, and as atomic number increases it becomes more and more difficult to fin... |
Biocybernetics Similar fields Biocybernetics > Similar fields Papers and research that delve into topics involving biocybernetics may be found under a multitude of similar names, including molecular cybernetics, neurocybernetics, and cellular cybernetics. Such fields involve disciplines that specify certain aspects of ... |
Orthodontic archwire Terms used in defining wires Orthodontic_archwire > Terms used in defining wires Stress - Internal distribution of load Strain - Internal distortion produced by the load Proportional limit - A point at which first permanent deformation is observed Yield strength - At this point, an orthodontic wire... |
Comparative diagram Overview Comparison_diagram > Overview A comparison diagram is a general type of diagram, meaning a class of specific diagrams and charts, in which a comparison is made between two or more objects, phenomena or groups of data. They are a tool for visual comparison. When it comes to comparing data, f... |
Adversarial machine learning HopSkipJump Attack General_adversarial_network > Specific attack types > Adversarial examples > Black box attacks > HopSkipJump Attack The next step involves calculating the gradient for x {\textstyle x} , and update the original x {\textstyle x} using this gradient and a pre-chosen step si... |
Observer effect (physics) Particle physics Observer_effect_(physics) > Particle physics An electron is detected upon interaction with a photon; this interaction will inevitably alter the velocity and momentum of that electron. It is possible for other, less direct means of measurement to affect the electron. It is also... |
Filter strip Summary Filter_strip In agriculture, they are highly effective in reducing the concentration of nitrogen (N) and phosphorus (P) in runoff into surface water and are also effective in reducing sediment erosion and removing pesticides. This helps to prevent eutrophication and associated fishkills and loss of... |
Nelson Complexity Index Complexity factors Nelson_Complexity_Index > Complexity factors Some factors for various processing units: |
Ecosystem respiration Importance Ecosystem_respiration > Importance The evolution of oxygenic photosynthesis in the atmosphere amplified the productivity of the biosphere, increasing biodiversity. With the presence of photosynthesis providing oxygen to the atmosphere, respiration soon evolved to provide the necessary c... |
Coxeter notation Rank three groups Coxeter_notation > Rank three groups In all these symmetries, alternate reflections can be removed producing the rotational tetrahedral +(), octahedral + (), and icosahedral + () groups of order 12, 24, and 60. The octahedral group also has a unique index 2 subgroup called the pyritoh... |
List of equations in quantum mechanics Summary List_of_equations_in_quantum_mechanics This article summarizes equations in the theory of quantum mechanics. |
Social constructivism (learning theory) Responsibility for learning Constructivist_learning > Individual > Constructivist learning intervention > The nature of the learner > Responsibility for learning Furthermore, it is argued that the responsibility of learning should reside increasingly with the student. Social cons... |
Data model diagram Database model Data_models > Types > Database model The power of the relational data model lies in its mathematical foundations and a simple user-level paradigm. Object–relational model Similar to a relational database model, but objects, classes, and inheritance are directly supported in database sc... |
Operational modal analysis Operational modal analysis versus operational deflection shape Operational_modal_analysis > Operational modal analysis versus operational deflection shape The two terms, Operational Modal Analysis and Operational Deflection Shape, are very similar, but refer to two different analysis approach... |
Experimental physicist History Experimental_Physics > History As a distinct field, experimental physics was established in early modern Europe, during what is known as the Scientific Revolution, by physicists such as Galileo Galilei, Christiaan Huygens, Johannes Kepler, Blaise Pascal and Sir Isaac Newton. In the early ... |
Zero-ohm link Use Zero_ohm_resistor > Use A percentage tolerance would not make sense, as it would be specified as a percentage of the ideal value of zero ohms (which would always be zero).An axial-lead through-hole zero-ohm resistor is generally marked with a single black band, the symbol for "0" in the resistor color... |
Mitochondrial fission FtsZ Localization Mitochondrial_fission > Mechanism > FtsZ Localization The FtsZ protein (a homologue to eukaryotic tubulin), found in many bacteria and some archaea, plays a role in mitochondrial fission. The Min system plays a role in localizing and assembling FtsZ proteins into a ring around th... |
Impulse excitation technique Extended IET for orthotropic material behaviour Impulse_excitation_technique > Extended IET applications: the Resonalyser Method > Extended IET for orthotropic material behaviour The interesting property of a Freely suspended Poisson plate is that the modal shapes that are associated with t... |
Gilbert Froment Key publications Gilbert_Froment > Key publications (1982). "Reforming of C6 hydrocarbons on a Pt/Al2O3 catalyst". Chemical Engineering Science. |
Entropy of activation Summary Entropy_of_activation In chemical kinetics, the entropy of activation of a reaction is one of the two parameters (along with the enthalpy of activation) which are typically obtained from the temperature dependence of a reaction rate constant, when these data are analyzed using the Eyring e... |
Edward Bernays Selected articles Edward_Bernays > Publications > Selected articles Annals of the American Academy of Political and Social Science, vol. 250 (Mar. 1947). |
Watering garden Design Watering_garden > Design Constructed elements include paths, patios, decking, sculptures, drainage systems, lights and buildings (such as sheds, gazebos, pergolas and follies), but also living constructions such as flower beds, ponds and lawns. Consideration is also given to the maintenance needs... |
Dehumidifier Refrigeration (electric) Dehumidifier > Thermal condensation dehumidification > Refrigeration (electric) Fresh air is then introduced to replace the amount that was extracted and the mix is discharged by the supply fan (G) to the crossflow plate exchanger (B) where it is heated by the extract air from the ... |
Computational metaphysics Overview Axiomatic_metaphysics > Overview Abstract Objects: An Introduction to Axiomatic Metaphysics (1983) is the title of a publication by Edward Zalta that outlines abstract object theory. AOT is a dual predication approach (also known as "dual copula strategy") to abstract objects influenc... |
Policy iteration Algorithms Markov_Decision_Processes > Algorithms Solutions for MDPs with finite state and action spaces may be found through a variety of methods such as dynamic programming. The algorithms in this section apply to MDPs with finite state and action spaces and explicitly given transition probabilities ... |
Ancient Greek architecture Ionic order Ancient_Greek_architecture > Style > Orders > Ionic order The Ionic order is altogether lighter in appearance than the Doric, with the columns, including base and capital, having a 9:1 ratio with the diameter, while the whole entablature was also much narrower and less heavy than ... |
Numerical modeling (geology) Governing equations Numerical_modeling_(geology) > Computation > Governing equations Following are some basic equations that are commonly used to describe physical phenomena, for example, how the matter in a geologic system moves or flows and how heat energy is distributed in a system. Thes... |
Physiological psychology Emotion Physiological_psychology > Emotion Another hormone found in the direct response from emotion is adrenocorticotropic hormone (ACTH) secreted in response to fearful stimuli. ACTH is secreted by the posterior pituitary in response to fear and plays a role in the facilitation or inhibition ... |
Secure Enclave Jailbreaking Secure_Enclave > Development > Jailbreaking An additional motivation is that it may enable the installation of pirated apps. On some devices, jailbreaking also makes it possible to install alternative operating systems, such as Android and the Linux kernel. Primarily, users jailbreak their d... |
Thermoregulation in humans In cold conditions Thermoregulation_in_humans > Control system > In cold conditions This means that less heat is lost to the environment through convection. There are two types of shivering: low-intensity and high-intensity. During low-intensity shivering, animals shiver constantly at a low l... |
Series-wound motor Disadvantages Series-wound_motor > Working > Disadvantages A negative aspect is the maintenance and short life problems caused by the commutator, as well as electromagnetic interference (EMI) issues due to any sparking. Because of the relatively high maintenance commutator brushes, universal motors a... |
Fractal flame Rendering an image Flame_fractals > Algorithm > Rendering an image To increase the quality of the image, one can use supersampling to decrease the noise. This involves creating a histogram larger than the image so each pixel has multiple data points to pull from. For example, create a histogram with 300×3... |
Parallel processing (psychology) Serial vs parallel processing Parallel_processing_(psychology) > Background > Serial vs parallel processing In contrast to parallel processing, serial processing involves sequential processing of information, without any overlap of processing times. The distinction between these two pro... |
Therapeutic cloning Process Therapeutic_cloning > Process The ovum, now containing the somatic cell's nucleus, is stimulated with a shock and will begin to divide. The egg is now viable and capable of producing an adult organism containing all necessary genetic information from just one parent. Development will ensue n... |
Chromium acetate hydroxide Summary Chromium_acetate_hydroxide Chromium acetate hydroxide is the coordination complex with the formula 4. A dark violet solid, it crystallizes as the triacontatetrahydrate (34 molecules of water of crystallization). It is water soluble. |
Sensor noise Effects of sensor size Image_noise > In digital cameras > Effects of sensor size For images at lower signal levels (higher ISO settings), where read noise (noise floor) is significant, more pixels within a given sensor area will make the image noisier if the per pixel read noise is the same. For example, t... |
Correlative-based fallacies Correlative conjunctions Correlative-based_fallacies > Correlative conjunctions A correlative conjunction is a relationship between two statements where one must be false and the other true. In formal logic this is known as the exclusive or relationship; traditionally, terms between which th... |
Automated system Sequential control and logical sequence or system state control Factory_automation > Control > Sequential control and logical sequence or system state control These were more flexible in their response than the rigid single-sequence cam timers. More complicated examples involved maintaining safe sequen... |
Physics of whistles Reynolds number Physics_of_whistles > Scaling > Reynolds number Re = U L υ {\displaystyle {\text{Re}}={\frac {UL}{\upsilon }}} It is the ratio of the steady inertial forces to the steady viscous forces. The number was named in honor of Osborne Reynolds, an engineer who did pioneering studies on the ... |
Glossary of set theory XYZ Glossary_of_set_theory > XYZ Zermelo's well-ordering theorem states that every set can be well ordered ZF Zermelo−Fraenkel set theory without the axiom of choice ZFA Zermelo−Fraenkel set theory with atoms ZFC Zermelo−Fraenkel set theory with the axiom of choice ZF-P Zermelo−Fraenkel set theor... |
Sibyl M. Rock Scholarly publications Sibyl_M._Rock > Scholarly publications "A Computer for Solving Linear Simultaneous Equations". J. Appl. Phys. |
Carbometalation Carbopalladation Carbometalation > Carbopalladation Carbopalladations can be a description of the elementary step of a reaction catalyzed by a palladium catalyst (Mizoroki-Heck reaction) and can also refer to a carbometalation reaction with a palladium catalyst (alkene difunctionalization, hydrofunction... |
Light-year History Light-year > History The light-year unit appeared a few years after the first successful measurement of the distance to a star other than the Sun, by Friedrich Bessel in 1838. The star was 61 Cygni, and he used a 160-millimetre (6.2 in) heliometre designed by Joseph von Fraunhofer. The largest unit f... |
Epigenetic regulation of neurogenesis Mechanisms Epigenetic_regulation_of_neurogenesis > Mechanisms Three important methods of epigenetic regulation include histone modification, DNA methylation and demethylation, and microRNA (miRNA) expression. Histones keep the DNA of the eukaryotic cell tightly packaged through cha... |
Communications server Open Communications_server > Attributes > Open Based on industry-managed open standards Broad, multi-vendor ecosystem Industry certified interoperability Availability of tools that facilitate development and integration of applications at the standardized interfaces Multiple competitive options fo... |
Classical modular curve Galois theory of the modular curve Classical_modular_curve > Galois theory of the modular curve The Galois theory of the modular curve was investigated by Erich Hecke. Considered as a polynomial in x with coefficients in Z, the modular equation Φ0(n) is a polynomial of degree ψ(n) in x, whose ro... |
3-4-5 triangle Common Pythagorean triples Right_isosceles_triangle > Side-based > Common Pythagorean triples The historian of mathematics Roger L. Cooke observes that "It is hard to imagine anyone being interested in such conditions without knowing the Pythagorean theorem." Against this, Cooke notes that no Egyptian te... |
Extradosed bridge History Extradosed_bridge > History The shallow angle of these tendons resulted in them transmitting a large compression force component into the bridge deck structure, allowing them to function in a similar manner to conventional "flexural" bridge prestressing. The extradosed tendons were continuous ... |
CD19 Role in development & survival CD19 > Function > Role in development & survival Decisions to live, proliferate, differentiate, or die are continuously being made during B cell development. These decisions are tightly regulated through B cell receptor (BCR) interactions and signaling. The presence of a functional B... |
Looming and similar refraction phenomena Summary Looming_and_similar_refraction_phenomena While mirages are the best known atmospheric refraction phenomena, looming and similar refraction phenomena do not produce mirages. Mirages show an extra image or images of the miraged object, while looming, towering, stooping, an... |
Lambda lifting Example Lambda_lifting > Example The following OCaml program computes the sum of the integers from 1 to 100: (The let rec declares sum as a function that may call itself.) The function f, which adds sum's argument to the sum of the numbers less than the argument, is a local function. Within the definitio... |
Log-structured merge-tree Summary Log-structured_merge-tree A run can be represented on disk as a single file, or alternatively as a collection of files with non-overlapping key ranges. To perform a query on a particular key to get its associated value, one must search in the Level 0 tree and also each run. The Stepped... |
Real Mode Summary Real_Mode Real mode, also called real address mode, is an operating mode of all x86-compatible CPUs. The mode gets its name from the fact that addresses in real mode always correspond to real locations in memory. Real mode is characterized by a 20-bit segmented memory address space (giving 1 MB of add... |
Nutcracker esophagus Medications Nutcracker_esophagus > Treatment > Medications Medications for nutcracker esophagus includes the use of calcium-channel blockers, which relax the lower esophageal sphincter (LES) and palliate the dysphagia symptoms. Diltiazem, a calcium-channel blocker, has been used in randomized contr... |
Dhrystone Shortcomings Dhrystone > Shortcomings Therefore, an optimizer can replace a string copy with a sequence of word moves without any loops, which will be much faster. This optimization consequently overstates system performance, sometimes by more than 30%.Dhrystone's small code size may fit in the instruction ca... |
Akt/PKB signaling pathway Cell survival and apoptosis Akt/PKB_signaling_pathway > Downstream effects > Cell survival and apoptosis For example, phosphorylation of BAD, the Bcl-2 family member, on Ser136 causes translocation from the mitochondrial membrane to the cytosol, where it is sequestered by 14-3-3 proteins. Akt ... |
Differential manifold Partitions of unity Smooth_manifold > Differentiable functions > Partitions of unity Every open covering of a Ck manifold M has a Ck partition of unity. This allows for certain constructions from the topology of Ck functions on Rn to be carried over to the category of differentiable manifolds. In ... |
Branch Target Injection Mechanism Bounds_Check_Bypass > Mechanism Spectre is a vulnerability that tricks a program into accessing arbitrary locations in the program's memory space. An attacker may read the content of accessed memory, and thus potentially obtain sensitive data. Instead of a single easy-to-fix vulnerabil... |
Death associated protein 6 Structure and localization Death_associated_protein_6 > Structure and localization Daxx is uniformly expressed throughout the body, except in the testes and thymus, which have especially high expression of the protein. At the level of the cell, Daxx is found in the cytoplasm, interacting with... |
Coherence theory of justification Summary Epistemic_coherentism It also attempts to offer a solution to the regress argument that plagues correspondence theory. In an epistemological sense, it is a theory about how belief can be proof-theoretically justified. Coherentism is a view about the structure and system of know... |
Protein-RNA interaction Translation Protein-RNA_interaction > Function > Translation Translational regulation provides a rapid mechanism to control gene expression. Rather than controlling gene expression at the transcriptional level, mRNA is already transcribed but the recruitment of ribosomes is controlled. This allo... |
Photogravure Technique Photogravure > Technique The sixth stage is to etch the plate in a series of ferric chloride baths, from the densest to slightly more dilute, in steps. The density of these baths is measured in degrees Baumé. The ferric chloride migrates through the gelatin, etching the shadows and blacks under t... |
Fundamental physical constants External articles Dimensionless_physical_constant > External articles Physical Review Letters. 87 (9): 091301. arXiv:astro-ph/0012539. Bibcode:2001PhRvL..87i1301W. |
Data Presentation Architecture Terminology Data_presentation > Terminology It is primarily used to look up specific values. In the example above, the table might have categorical column labels representing the name (a qualitative variable) and age (a quantitative variable), with each row of data representing one person... |
Averaged Lagrangian Method Averaged_Lagrangian > Method But the wave phase itself is absent due to the phase averaging. Consequently, through Noether's theorem, there is a conservation law called the conservation of wave action. Originally the averaged Lagrangian method was developed by Whitham for slowly-varying dispe... |
Social defeat Behavioral and physiological effects Social_defeat > In humans > Behavioral and physiological effects In animal studies, animals housed collectively showed reduced symptoms after defeat, in comparison with those housed alone; and animals that live in more stable groups (with stable hierarchies, less intra... |
Paleofeces Methods of analysis Paleofeces > Methods of analysis At the molecular level, ancient DNA analysis can be used both to identify the species and to provide dietary information. A method using lipid analysis can also be used for species identification, based on the range of fecal sterols and bile acids. These m... |
Gift-exchange game Experimental Methods and Results Gift-exchange_game > Experimental Methods and Results Each participant would receive an hourly wage that had been previously advertised to them. The participants in each experiment were divided into two groups, one of which were informed that the actual wage they woul... |
Scanning tunnelling microscope Bardeen's formalism Scanning_tunnelling_microscope > Principle of operation > Bardeen's formalism If the two systems are put closer together, but are still separated by a thin vacuum region, the potential acting on an electron in the combined system is UT + US. Here, each of the potential... |
Axiomatic framework Properties Axiomatic_proof > Properties An axiomatic system is said to be consistent if it lacks contradiction. That is, it is impossible to derive both a statement and its negation from the system's axioms. Consistency is a key requirement for most axiomatic systems, as the presence of contradictio... |
Backtracking line search Theoretical guarantee (for gradient descent) Backtracking_line_search > Theoretical guarantee (for gradient descent) In the setting of deep learning, saddle points are also prevalent, see Dauphin et al. (2014). Thus, to apply in deep learning, one needs results for non-convex functions. For con... |
Computational Fluid Dynamics Vorticity confinement method Computational_Fluid_Dynamics > Methodology > Turbulence models > Vorticity confinement method The vorticity confinement (VC) method is an Eulerian technique used in the simulation of turbulent wakes. It uses a solitary-wave like approach to produce a stable solu... |
BOINC client–server technology Client structure BOINC_client-server_technology > Client structure A drawback to the use of RPC mechanisms is that they are often felt to be security risks because they can be the route by which hackers can intrude upon targeted computers (even if it's configured for connections from the ... |
Bernoulli process Summary Bernoulli_measure Every variable Xi in the sequence is associated with a Bernoulli trial or experiment. They all have the same Bernoulli distribution. Much of what can be said about the Bernoulli process can also be generalized to more than two outcomes (such as the process for a six-sided die... |
Solar boiler PV pump Solar_hot_water_panel > Components > Pump > PV pump One way to power an active system is via a photovoltaic (PV) panel. To ensure proper pump performance and longevity, the (DC) pump and PV panel must be suitably matched. Although a PV-powered pump does not operate at night, the controller must ens... |
Spectral theory Operator equations Spectral_theory > Operator equations {\displaystyle \int \langle x,(O-\lambda I)y\rangle \langle y,G(\lambda )z\rangle \,dy=\int \langle x,(O-\lambda I)y\rangle \left\langle y,(O-\lambda I)^{-1}z\right\rangle \,dy=\langle x,z\rangle =\delta (x-z).} Using this Green's function property... |
Tissue healing Systemic factors Wound_healing > Factors affecting wound healing > Systemic factors It also increases the likelihood of certain complications such as wound rupture, wound and flap necrosis, decrease in wound tensile strength and infection. Passive smoking also impairs a proper wound healing process. Age ... |
Relativistic electromagnetism Principle Relativistic_electromagnetism > Principle An observer at rest with respect to a system of static, free charges will see no magnetic field. However, a moving observer looking at the same set of charges does perceive a current, and thus a magnetic field. That is, the magnetic field... |
Glossary of set theory B Glossary_of_set_theory > B 𝔟 The bounding number, the least size of an unbounded family of sequences of natural numbers B A Boolean algebra BA Baumgartner's axiom, one of three axioms introduced by Baumgartner. BACH Baumgartner's axiom plus the continuum hypothesis. Baire 1. René-Louis Baire 2... |
Frobenius-Perron eigenvector Non-negative matrices Perron–Frobenius_theorem > Statement > Non-negative matrices For such a matrix, although the eigenvalues attaining the maximal absolute value might not be unique, their structure is under control: they have the form ω r {\displaystyle \omega r} , where r is a real stri... |
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