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https://en.wikipedia.org/wiki/Biological%20life%20cycle | In biology, a biological life cycle (or just life cycle when the biological context is clear) is a series of stages of the life of an organism, that begins as a zygote, often in an egg, and concludes as an adult that reproduces, producing an offspring in the form of a new zygote which then itself goes through the same ... |
https://en.wikipedia.org/wiki/Voltage%20spike | In electrical engineering, spikes are fast, short duration electrical transients in voltage (voltage spikes), current (current spikes), or transferred energy (energy spikes) in an electrical circuit.
Fast, short duration electrical transients (overvoltages) in the electric potential of a circuit are typically caused b... |
https://en.wikipedia.org/wiki/Well-founded%20relation | In mathematics, a binary relation is called well-founded (or wellfounded or foundational) on a class if every non-empty subset has a minimal element with respect to , that is, an element not related by (for instance, " is not smaller than ") for any . In other words, a relation is well founded if
Some authors inc... |
https://en.wikipedia.org/wiki/Blame | Blame is the act of censuring, holding responsible, or making negative statements about an individual or group that their actions or inaction are socially or morally irresponsible, the opposite of praise. When someone is morally responsible for doing something wrong, their action is blameworthy. By contrast, when someo... |
https://en.wikipedia.org/wiki/Thaumatin | Thaumatin (also known as talin) is a low-calorie sweetener and flavor modifier. The protein is often used primarily for its flavor-modifying properties and not exclusively as a sweetener.
The thaumatins were first found as a mixture of proteins isolated from the katemfe fruit (Thaumatococcus daniellii) (Marantaceae) o... |
https://en.wikipedia.org/wiki/Index%20notation | In mathematics and computer programming, index notation is used to specify the elements of an array of numbers. The formalism of how indices are used varies according to the subject. In particular, there are different methods for referring to the elements of a list, a vector, or a matrix, depending on whether one is w... |
https://en.wikipedia.org/wiki/Habitat%20conservation | Habitat conservation is a management practice that seeks to conserve, protect and restore habitats and prevent species extinction, fragmentation or reduction in range. It is a priority of many groups that cannot be easily characterized in terms of any one ideology.
History of the conservation movement
For much of hum... |
https://en.wikipedia.org/wiki/Programmed%20input%E2%80%93output | Programmed input–output (also programmable input/output, programmed input/output, programmed I/O, PIO) is a method of data transmission, via input/output (I/O), between a central processing unit (CPU) and a peripheral device, such as a Parallel ATA storage device. Each data item transfer is initiated by an instruction ... |
https://en.wikipedia.org/wiki/Instrumentation%20amplifier | An instrumentation amplifier (sometimes shorthanded as in-amp or InAmp) is a type of differential amplifier that has been outfitted with input buffer amplifiers, which eliminate the need for input impedance matching and thus make the amplifier particularly suitable for use in measurement and test equipment. Additional ... |
https://en.wikipedia.org/wiki/North%20American%20Network%20Operators%27%20Group | The North American Network Operators' Group (NANOG) is an educational and operational forum for the coordination and dissemination of technical information related to backbone/enterprise networking technologies and operational practices. It runs meetings, talks, surveys, and an influential mailing list for Internet se... |
https://en.wikipedia.org/wiki/How%20to%20Solve%20It | How to Solve It (1945) is a small volume by mathematician George Pólya describing methods of problem solving.
Four principles
How to Solve It suggests the following steps when solving a mathematical problem:
First, you have to understand the problem.
After understanding, make a plan.
Carry out the plan.
Look back... |
https://en.wikipedia.org/wiki/Needle%20and%20syringe%20programmes | A needle and syringe programme (NSP), also known as needle exchange program (NEP), is a social service that allows injecting drug users (IDUs) to obtain clean and unused hypodermic needles and associated paraphernalia at little or no cost. It is based on the philosophy of harm reduction that attempts to reduce the ris... |
https://en.wikipedia.org/wiki/XLR%20connector | The XLR connector is a type of electrical connector primarily used in professional audio, video, and stage lighting equipment. XLR connectors are cylindrical in design, with three to seven connector pins, and are often employed for analog balanced audio interconnections, AES3 digital audio, portable intercom, DMX512 li... |
https://en.wikipedia.org/wiki/Affine%20variety | In algebraic geometry, an affine algebraic set is the set of the common zeros over an algebraically closed field of some family of polynomials in the polynomial ring An affine variety or affine algebraic variety, is an affine algebraic set such that the ideal generated by the defining polynomials is prime.
Some text... |
https://en.wikipedia.org/wiki/Projective%20variety | In algebraic geometry, a projective variety over an algebraically closed field k is a subset of some projective n-space over k that is the zero-locus of some finite family of homogeneous polynomials of n + 1 variables with coefficients in k, that generate a prime ideal, the defining ideal of the variety. Equivalently,... |
https://en.wikipedia.org/wiki/Computer-mediated%20communication | Computer-mediated communication (CMC) is defined as any human communication that occurs through the use of two or more electronic devices. While the term has traditionally referred to those communications that occur via computer-mediated formats (e.g., instant messaging, email, chat rooms, online forums, social networ... |
https://en.wikipedia.org/wiki/Tarski%27s%20theorem%20about%20choice | In mathematics, Tarski's theorem, proved by , states that in ZF the theorem "For every infinite set , there is a bijective map between the sets and " implies the axiom of choice. The opposite direction was already known, thus the theorem and axiom of choice are equivalent.
Tarski told that when he tried to publish ... |
https://en.wikipedia.org/wiki/Impedance%20matching | In electronics, impedance matching is the practice of designing or adjusting the input impedance or output impedance of an electrical device for a desired value. Often, the desired value is selected to maximize power transfer or minimize signal reflection. For example, impedance matching typically is used to improve p... |
https://en.wikipedia.org/wiki/Cantor%20function | In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous. It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure. Though it is continuous everywhere and has zero derivative almost everywhere... |
https://en.wikipedia.org/wiki/Constant%20function | In mathematics, a constant function is a function whose (output) value is the same for every input value. For example, the function is a constant function because the value of is 4 regardless of the input value (see image).
Basic properties
As a real-valued function of a real-valued argument, a constant function ha... |
https://en.wikipedia.org/wiki/Symmedian | In geometry, symmedians are three particular lines associated with every triangle. They are constructed by taking a median of the triangle (a line connecting a vertex with the midpoint of the opposite side), and reflecting the line over the corresponding angle bisector (the line through the same vertex that divides the... |
https://en.wikipedia.org/wiki/Microdot | A microdot is text or an image substantially reduced in size to prevent detection by unintended recipients. Microdots are normally circular and around in diameter but can be made into different shapes and sizes and made from various materials such as polyester or metal. The name comes from the fact that the microdots ... |
https://en.wikipedia.org/wiki/Neohesperidin%20dihydrochalcone | Neohesperidin dihydrochalcone, sometimes abbreviated to neohesperidin DC or simply NHDC, is an artificial sweetener derived from citrus.
It is particularly effective in masking the bitter tastes of other compounds found in citrus, including limonin and naringin. Industrially, it is produced by extracting neohesperidin... |
https://en.wikipedia.org/wiki/Model%20checking | In computer science, model checking or property checking is a method for checking whether a finite-state model of a system meets a given specification (also known as correctness). This is typically associated with hardware or software systems, where the specification contains liveness requirements (such as avoidance of... |
https://en.wikipedia.org/wiki/Energy%20flow%20%28ecology%29 | Energy flow is the flow of energy through living things within an ecosystem. All living organisms can be organized into producers and consumers, and those producers and consumers can further be organized into a food chain. Each of the levels within the food chain is a trophic level. In order to more efficiently show th... |
https://en.wikipedia.org/wiki/Perfect%20information | In economics, perfect information (sometimes referred to as "no hidden information") is a feature of perfect competition. With perfect information in a market, all consumers and producers have complete and instantaneous knowledge of all market prices, their own utility, and own cost functions.
In game theory, a sequen... |
https://en.wikipedia.org/wiki/Supervised%20injection%20site | Supervised injection sites (SIS) are medically supervised facilities designed to provide a hygienic environment in which people are able to consume illicit recreational drugs intravenously and prevent deaths due to drug overdoses. Proponents say they saves lives and connect users to services while opponents believe the... |
https://en.wikipedia.org/wiki/Term%20logic | In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century C... |
https://en.wikipedia.org/wiki/Tessellation | A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries.
A periodic tiling has a repeating pattern. Some special kinds include r... |
https://en.wikipedia.org/wiki/UTF-7 | UTF-7 (7-bit Unicode Transformation Format) is an obsolete variable-length character encoding for representing Unicode text using a stream of ASCII characters. It was originally intended to provide a means of encoding Unicode text for use in Internet E-mail messages that was more efficient than the combination of UTF-8... |
https://en.wikipedia.org/wiki/Multiply%20perfect%20number | In mathematics, a multiply perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number.
For a given natural number k, a number n is called (or perfect) if the sum of all positive divisors of n (the divisor function, σ(n)) is equal to kn; a number is thus perfect if a... |
https://en.wikipedia.org/wiki/Abundant%20number | In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16. The amount by which the sum exceeds the number is the abundance. Th... |
https://en.wikipedia.org/wiki/Deficient%20number | In number theory, a deficient number or defective number is a positive integer for which the sum of divisors of is less than . Equivalently, it is a number for which the sum of proper divisors (or aliquot sum) is less than . For example, the proper divisors of 8 are , and their sum is less than 8, so 8 is deficient... |
https://en.wikipedia.org/wiki/Coding%20theory | Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography, error detection and correction, data transmission and data storage. Codes are studied by various scientific disciplines—such as information theory, electrical ... |
https://en.wikipedia.org/wiki/Cullen%20number | In mathematics, a Cullen number is a member of the integer sequence (where is a natural number). Cullen numbers were first studied by James Cullen in 1905. The numbers are special cases of Proth numbers.
Properties
In 1976 Christopher Hooley showed that the natural density of positive integers for which Cn is a pr... |
https://en.wikipedia.org/wiki/Quasiperfect%20number | In mathematics, a quasiperfect number is a natural number n for which the sum of all its divisors (the divisor function σ(n)) is equal to 2n + 1. Equivalently, n is the sum of its non-trivial divisors (that is, its divisors excluding 1 and n). No quasiperfect numbers have been found so far.
The quasiperfect numbers ar... |
https://en.wikipedia.org/wiki/Semiperfect%20number | In number theory, a semiperfect number or pseudoperfect number is a natural number n that is equal to the sum of all or some of its proper divisors. A semiperfect number that is equal to the sum of all its proper divisors is a perfect number.
The first few semiperfect numbers are: 6, 12, 18, 20, 24, 28, 30, 36, 40, ..... |
https://en.wikipedia.org/wiki/Weird%20number | In number theory, a weird number is a natural number that is abundant but not semiperfect. In other words, the sum of the proper divisors (divisors including 1 but not itself) of the number is greater than the number, but no subset of those divisors sums to the number itself.
Examples
The smallest weird number is 7... |
https://en.wikipedia.org/wiki/Woodall%20number | In number theory, a Woodall number (Wn) is any natural number of the form
for some natural number n. The first few Woodall numbers are:
1, 7, 23, 63, 159, 383, 895, … .
History
Woodall numbers were first studied by Allan J. C. Cunningham and H. J. Woodall in 1917, inspired by James Cullen's earlier study of the simi... |
https://en.wikipedia.org/wiki/Perpetuity | In finance, a perpetuity is an annuity that has no end, or a stream of cash payments that continues forever. There are few actual perpetuities in existence. For example, the United Kingdom (UK) government issued them in the past; these were known as consols and were all finally redeemed in 2015.
Real estate and pref... |
https://en.wikipedia.org/wiki/Almost%20perfect%20number | In mathematics, an almost perfect number (sometimes also called slightly defective or least deficient number) is a natural number n such that the sum of all divisors of n (the sum-of-divisors function σ(n)) is equal to 2n − 1, the sum of all proper divisors of n, s(n) = σ(n) − n, then being equal to n − 1. The only kno... |
https://en.wikipedia.org/wiki/Chord%20%28peer-to-peer%29 | In computing, Chord is a protocol and algorithm for a peer-to-peer distributed hash table. A distributed hash table stores key-value pairs by assigning keys to different computers (known as "nodes"); a node will store the values for all the keys for which it is responsible. Chord specifies how keys are assigned to node... |
https://en.wikipedia.org/wiki/Hyperperfect%20number | In number theory, a -hyperperfect number is a natural number for which the equality holds, where is the divisor function (i.e., the sum of all positive divisors of ). A hyperperfect number is a -hyperperfect number for some integer . Hyperperfect numbers generalize perfect numbers, which are 1-hyperperfect.
The fir... |
https://en.wikipedia.org/wiki/Ecological%20succession | Ecological succession is the process of change in the species that make up an ecological community over time.
The process of succession occurs either after the initial colonization of a newly created habitat, or after a disturbance substantially alters a pre-existing habitat. Succession that begins in new habitats, un... |
https://en.wikipedia.org/wiki/Project%20Orion%20%28nuclear%20propulsion%29 | Project Orion was a study conducted in the 1950s and 1960s by the United States Air Force, DARPA, and NASA into the viability of a nuclear pulse spaceship that would be directly propelled by a series of atomic explosions behind the craft. Early versions of the vehicle were proposed to take off from the ground; later ve... |
https://en.wikipedia.org/wiki/Ectasia | Ectasia (), also called ectasis (), is dilation or distention of a tubular structure, either normal or pathophysiologic but usually the latter (except in atelectasis, where absence of ectasis is the problem).
Specific conditions
Bronchiectasis, chronic dilatation of the bronchi
Duct ectasia of breast, a dilated mil... |
https://en.wikipedia.org/wiki/Acesulfame%20potassium | Acesulfame potassium (, or ), also known as acesulfame K (K is the symbol for potassium) or Ace K, is a synthetic calorie-free sugar substitute (artificial sweetener) often marketed under the trade names Sunett and Sweet One. In the European Union, it is known under the E number (additive code) E950. It was discover... |
https://en.wikipedia.org/wiki/Public%20works | Public works are a broad category of infrastructure projects, financed and procured by a government body for recreational, employment, and health and safety uses in the greater community. They include public buildings (municipal buildings, schools, and hospitals), transport infrastructure (roads, railroads, bridges, pi... |
https://en.wikipedia.org/wiki/Io%20%28programming%20language%29 | Io is a pure object-oriented programming language inspired by Smalltalk, Self, Lua, Lisp, Act1, and NewtonScript. Io has a prototype-based object model similar to the ones in Self and NewtonScript, eliminating the distinction between instance and class. Like Smalltalk, everything is an object and it uses dynamic typing... |
https://en.wikipedia.org/wiki/Theoretical%20computer%20science | Theoretical computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, formal language theory, the lambda calculus and type theory.
It is difficult to circumscribe the theoretical areas precisely. The ACM's ... |
https://en.wikipedia.org/wiki/Wilson%20prime | In number theory, a Wilson prime is a prime number such that divides , where "" denotes the factorial function; compare this with Wilson's theorem, which states that every prime divides . Both are named for 18th-century English mathematician John Wilson; in 1770, Edward Waring credited the theorem to Wilson, althoug... |
https://en.wikipedia.org/wiki/Newman%E2%80%93Shanks%E2%80%93Williams%20prime | In mathematics, a Newman–Shanks–Williams prime (NSW prime) is a prime number p which can be written in the form
NSW primes were first described by Morris Newman, Daniel Shanks and Hugh C. Williams in 1981 during the study of finite simple groups with square order.
The first few NSW primes are 7, 41, 239, 9369319, 630... |
https://en.wikipedia.org/wiki/MediaWiki | MediaWiki is free and open-source wiki software originally developed by Magnus Manske for use on Wikipedia on January 25, 2002 and further improved by Lee Daniel Crocker, after which it has been coordinated by the Wikimedia Foundation. It powers most websites hosted by the Foundation including Wikipedia, Wiktionary, Wi... |
https://en.wikipedia.org/wiki/Cultural%20ecology | Cultural ecology is the study of human adaptations to social and physical environments. Human adaptation refers to both biological and cultural processes that enable a population to survive and reproduce within a given or changing environment. This may be carried out diachronically (examining entities that existed in d... |
https://en.wikipedia.org/wiki/Lsh | lsh is a free software implementation of the Secure Shell (SSH) protocol version 2, by the GNU Project including both server and client programs. Featuring Secure Remote Password protocol (SRP) as specified in secsh-srp besides, public-key authentication. Kerberos is somewhat supported as well. Currently however for pa... |
https://en.wikipedia.org/wiki/Right%20to%20privacy | The right to privacy is an element of various legal traditions that intends to restrain governmental and private actions that threaten the privacy of individuals. Over 150 national constitutions mention the right to privacy. On 10 December 1948, the United Nations General Assembly adopted the Universal Declaration of H... |
https://en.wikipedia.org/wiki/Financial%20engineering | Financial engineering is a multidisciplinary field involving financial theory, methods of engineering, tools of mathematics and the practice of programming. It has also been defined as the application of technical methods, especially from mathematical finance and computational finance, in the practice of finance.
Fina... |
https://en.wikipedia.org/wiki/Atiyah%E2%80%93Singer%20index%20theorem | In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some to... |
https://en.wikipedia.org/wiki/Bimonster%20group | In mathematics, the bimonster is a group that is the wreath product of the monster group M with Z2:
The Bimonster is also a quotient of the Coxeter group corresponding to the Dynkin diagram Y555, a Y-shaped graph with 16 nodes:
John H. Conway conjectured that a presentation of the bimonster could be given by addin... |
https://en.wikipedia.org/wiki/Ethnomathematics | In mathematics education, ethnomathematics is the study of the relationship between mathematics and culture. Often associated with "cultures without written expression", it may also be defined as "the mathematics which is practised among identifiable cultural groups". It refers to a broad cluster of ideas ranging from ... |
https://en.wikipedia.org/wiki/Rational%20ignorance | Rational ignorance is refraining from acquiring knowledge when the supposed cost of educating oneself on an issue exceeds the expected potential benefit that the knowledge would provide.
Ignorance about an issue is said to be "rational" when the cost of educating oneself about the issue sufficiently to make an informe... |
https://en.wikipedia.org/wiki/Radiological%20warfare | Radiological warfare is any form of warfare involving deliberate radiation poisoning or contamination of an area with radiological sources.
Radiological weapons are normally classified as weapons of mass destruction (WMDs), although radiological weapons can also be specific in whom they target, such as the radiation p... |
https://en.wikipedia.org/wiki/Modular%20group | In mathematics, the modular group is the projective special linear group of matrices with integer coefficients and determinant 1. The matrices and are identified. The modular group acts on the upper-half of the complex plane by fractional linear transformations, and the name "modular group" comes from the relation... |
https://en.wikipedia.org/wiki/Domain%20theory | Domain theory is a branch of mathematics that studies special kinds of partially ordered sets (posets) commonly called domains. Consequently, domain theory can be considered as a branch of order theory. The field has major applications in computer science, where it is used to specify denotational semantics, especially ... |
https://en.wikipedia.org/wiki/Mezzanine | A mezzanine (; or in Italian, a mezzanino) is an intermediate floor in a building which is partly open to the double-height ceilinged floor below, or which does not extend over the whole floorspace of the building, a loft with non-sloped walls. However, the term is often used loosely for the floor above the ground floo... |
https://en.wikipedia.org/wiki/Figurate%20number | The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). The term can mean
polygonal number
a number represented as a discrete -dimensional regular geomet... |
https://en.wikipedia.org/wiki/Servomechanism | In mechanical engineering and control engineering, a servomechanism (also called a servo (to be differentiated from a servomotor, which may also be called "servo") or a servo system) is a control system for the position and its time derivatives (for example, velocity) of a mechanical system using closed-loop control to... |
https://en.wikipedia.org/wiki/Life%20on%20Earth%20%28TV%20series%29 | Life on Earth: A Natural History by David Attenborough is a British television natural history series made by the BBC in association with Warner Bros. Television and Reiner Moritz Productions. It was transmitted in the UK from 16 January 1979.
During the course of the series presenter David Attenborough, following the... |
https://en.wikipedia.org/wiki/Successor%20function | In mathematics, the successor function or successor operation sends a natural number to the next one. The successor function is denoted by S, so S(n) = n +1. For example, S(1) = 2 and S(2) = 3. The successor function is one of the basic components used to build a primitive recursive function.
Successor operations are ... |
https://en.wikipedia.org/wiki/Hopf%20algebra | In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously an (unital associative) algebra and a (counital coassociative) coalgebra, with these structures' compatibility making it a bialgebra, and that moreover is equipped with an antiautomorphism satisfying a certain property. The re... |
https://en.wikipedia.org/wiki/Social%20network%20analysis | Social network analysis (SNA) is the process of investigating social structures through the use of networks and graph theory. It characterizes networked structures in terms of nodes (individual actors, people, or things within the network) and the ties, edges, or links (relationships or interactions) that connect them... |
https://en.wikipedia.org/wiki/Phenomenalism | In metaphysics, phenomenalism is the view that physical objects cannot justifiably be said to exist in themselves, but only as perceptual phenomena or sensory stimuli (e.g. redness, hardness, softness, sweetness, etc.) situated in time and in space. In particular, some forms of phenomenalism reduce all talk about physi... |
https://en.wikipedia.org/wiki/Architectural%20state | Architectural state is the collection of information in a computer system that defines the state of a program during execution. Architectural state includes main memory, architectural registers, and the program counter. Architectural state is defined by the instruction set architecture and can be manipulated by the... |
https://en.wikipedia.org/wiki/Glossary%20of%20graph%20theory | This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges.
Symbols
A
B
C
D
E
F
G
H
I
K
L
M
N
O
P
Q
R
S
T
U
V
W
See also
List of graph theory topics
Gallery of named graphs
Graph algorithms
Glossary of areas of ... |
https://en.wikipedia.org/wiki/Graph%20%28discrete%20mathematics%29 | In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices... |
https://en.wikipedia.org/wiki/List%20of%20assets%20owned%20by%20General%20Electric | List of assets owned by General Electric:
Primary business units
GE Aerospace
GE Power
GE Renewable Energy
Other business units
GE Additive
GE Capital
GE Energy Financial Services
GE Digital
GE Research
GE Licensing
See also
Lists of corporate assets
References
Sources
http://www.ge.com
General Electri... |
https://en.wikipedia.org/wiki/Pollen%20tube | A pollen tube is a tubular structure produced by the male gametophyte of seed plants when it germinates. Pollen tube elongation is an integral stage in the plant life cycle. The pollen tube acts as a conduit to transport the male gamete cells from the pollen grain—either from the stigma (in flowering plants) to the ovu... |
https://en.wikipedia.org/wiki/Windows%207 | Windows 7 is a major release of the Windows NT operating system developed by Microsoft. It was released to manufacturing on July 22, 2009, and became generally available on October 22, 2009. It is the successor to Windows Vista, released nearly three years earlier. Windows 7's server counterpart, Windows Server 2008 R2... |
https://en.wikipedia.org/wiki/Isoperimetric%20inequality | In mathematics, the isoperimetric inequality is a geometric inequality involving the perimeter of a set and its volume. In -dimensional space the inequality lower bounds the surface area or perimeter of a set by its volume ,
,
where is a unit sphere. The equality holds only when is a sphere in .
On a plane, i.e... |
https://en.wikipedia.org/wiki/Power%20center%20%28geometry%29 | In geometry, the power center of three circles, also called the radical center, is the intersection point of the three radical axes of the pairs of circles. If the radical center lies outside of all three circles, then it is the center of the unique circle (the radical circle) that intersects the three given circles ... |
https://en.wikipedia.org/wiki/Reverse%20mathematics | Reverse mathematics is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. Its defining method can briefly be described as "going backwards from the theorems to the axioms", in contrast to the ordinary mathematical practice of deriving theorems from axiom... |
https://en.wikipedia.org/wiki/Lagrange%27s%20four-square%20theorem | Lagrange's four-square theorem, also known as Bachet's conjecture, states that every natural number can be represented as a sum of four non-negative integer squares. That is, the squares form an additive basis of order four.
where the four numbers are integers. For illustration, 3, 31, and 310 in several ways, can b... |
https://en.wikipedia.org/wiki/Finitely%20generated%20module | In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated module over a ring R may also be called a finite R-module, finite over R, or a module of finite type.
Related concepts include finitely cogenerated modules, finitely presented modules, finitely related module... |
https://en.wikipedia.org/wiki/Free%20module | In mathematics, a free module is a module that has a basis, that is, a generating set consisting of linearly independent elements. Every vector space is a free module, but, if the ring of the coefficients is not a division ring (not a field in the commutative case), then there exist non-free modules.
Given any set an... |
https://en.wikipedia.org/wiki/Undersampling | In signal processing, undersampling or bandpass sampling is a technique where one samples a bandpass-filtered signal at a sample rate below its Nyquist rate (twice the upper cutoff frequency), but is still able to reconstruct the signal.
When one undersamples a bandpass signal, the samples are indistinguishable from t... |
https://en.wikipedia.org/wiki/Mathematics%20education | In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying out scholarly research into the transfer of mathematical knowledge.
Although research into mathematics education is primarily concerned with the tools, method... |
https://en.wikipedia.org/wiki/Irritation | Irritation, in biology and physiology, is a state of inflammation or painful reaction to allergy or cell-lining damage. A stimulus or agent which induces the state of irritation is an irritant. Irritants are typically thought of as chemical agents (for example phenol and capsaicin) but mechanical, thermal (heat), and r... |
https://en.wikipedia.org/wiki/YAML | YAML () (see ) is a human-readable data serialization language. It is commonly used for configuration files and in applications where data is being stored or transmitted. YAML targets many of the same communications applications as Extensible Markup Language (XML) but has a minimal syntax which intentionally differs fr... |
https://en.wikipedia.org/wiki/Ramsey%20cardinal | In mathematics, a Ramsey cardinal is a certain kind of large cardinal number introduced by and named after Frank P. Ramsey, whose theorem establishes that ω enjoys a certain property that Ramsey cardinals generalize to the uncountable case.
Let [κ]<ω denote the set of all finite subsets of κ. A cardinal number κ is... |
https://en.wikipedia.org/wiki/Value%20engineering | Value engineering (VE) is a systematic analysis of the functions of various components and materials to lower the cost of goods, products and services with a tolerable loss of performance or functionality. Value, as defined, is the ratio of function to cost. Value can therefore be manipulated by either improving the fu... |
https://en.wikipedia.org/wiki/Differential%20amplifier | A differential amplifier is a type of electronic amplifier that amplifies the difference between two input voltages but suppresses any voltage common to the two inputs. It is an analog circuit with two inputs and and one output , in which the output is ideally proportional to the difference between the two voltages:
... |
https://en.wikipedia.org/wiki/Online%20service%20provider | An online service provider (OSP) can, for example, be an Internet service provider, an email provider, a news provider (press), an entertainment provider (music, movies), a search engine, an e-commerce site, an online banking site, a health site, an official government site, social media, a wiki, or a Usenet newsgroup... |
https://en.wikipedia.org/wiki/Chebyshev%20filter | Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband ripple (type II). Chebyshev filters have the property that they minimize the error between the idealized and the actual filter characteristic over the operating fre... |
https://en.wikipedia.org/wiki/Web%20syndication | Web syndication is making content available from one website to other sites. Most commonly, websites are made available to provide either summaries or full renditions of a website's recently added content. The term may also describe other kinds of content licensing for reuse.
Motivation
For the subscribing sites, synd... |
https://en.wikipedia.org/wiki/Electrical%20efficiency | The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed (a fractional expression), typically denoted by the Greek small letter eta (η – ήτα).
If energy output and input are expressed in the same units, efficiency is a dimen... |
https://en.wikipedia.org/wiki/Versatile%20Real-Time%20Executive | Versatile Real-Time Executive (VRTX) is a real-time operating system (RTOS) developed and marketed by the company Mentor Graphics. VRTX is suitable for both traditional board-based embedded systems and system on a chip (SoC) architectures. It has been superseded by the Nucleus RTOS.
History
The VRTX operating system b... |
https://en.wikipedia.org/wiki/MSX%20BASIC | MSX BASIC is a dialect of the BASIC programming language. It is an extended version of Microsoft's MBASIC Version 4.5, adding support for graphic, music, and various peripherals attached to MSX microcomputers. Generally, MSX BASIC is designed to follow GW-BASIC, released the same year for IBM PCs and clones. During the... |
https://en.wikipedia.org/wiki/Content-addressable%20memory | Content-addressable memory (CAM) is a special type of computer memory used in certain very-high-speed searching applications. It is also known as associative memory or associative storage and compares input search data against a table of stored data, and returns the address of matching data.
CAM is frequently used in... |
https://en.wikipedia.org/wiki/Paleoethnobotany | Paleoethnobotany (also spelled palaeoethnobotany), or archaeobotany, is the study of past human-plant interactions through the recovery and analysis of ancient plant remains. Both terms are synonymous, though paleoethnobotany (from the Greek words palaios [παλαιός] meaning ancient, ethnos [έθνος] meaning race or ethnic... |
https://en.wikipedia.org/wiki/Host%20adapter | In computer hardware, a host controller, host adapter, or host bus adapter (HBA), connects a computer system bus, which acts as the host system, to other network and storage devices. The terms are primarily used to refer to devices for connecting SCSI, SAS, NVMe, Fibre Channel and SATA devices. Devices for connecting ... |
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