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Bernoulli's formula The result: Faulhaber's formula Bernoulli's_formula > The result: Faulhaber's formula Faulhaber's formula concerns expressing the sum of the p-th powers of the first n positive integers as a (p + 1)th-degree polynomial function of n. The first few examples are well known. For p = 0, we have For p = ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Thyroid hormone replacement Function Thyroid_hormone_replacement > Function They also stimulate vitamin metabolism. Numerous physiological and pathological stimuli influence thyroid hormone synthesis. Thyroid hormone leads to heat generation in humans. However, the thyronamines function via some unknown mechanism to in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Differentials of a function General formulation Differentials_of_a_function > General formulation A consistent notion of differential can be developed for a function f: Rn → Rm between two Euclidean spaces. Let x,Δx ∈ Rn be a pair of Euclidean vectors. The increment in the function f is If there exists an m × n matrix ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Robust Regression and Outlier Detection Topics Robust_Regression_and_Outlier_Detection > Topics The sixth chapter concerns outlier detection, comparing methods for identifying data points as outliers based on robust statistics with other widely used methods, and the final chapter concerns higher-dimensional location pr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Idealized greenhouse model Simplified energy flows Idealized_greenhouse_model > Simplified energy flows A key to understanding the greenhouse effect is Kirchhoff's law of thermal radiation. At any given wavelength the absorptivity of the atmosphere will be equal to the emissivity. Radiation from the surface could be in...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Sleep mode Summary Sleep_mode Sleep mode (or suspend to RAM) is a low power mode for electronic devices such as computers, televisions, and remote controlled devices. These modes save significantly on electrical consumption compared to leaving a device fully on and, upon resume, allow the user to avoid having to reissu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
End-stage renal disease Signs and symptoms Chronic_kidney_disease > Signs and symptoms Cognitive decline in patients experiencing CKD is an emerging symptom revealed in research literature. Current research suggests that patients with CKD face a 35-40% higher likelihood of cognitive decline and or dementia. This relati...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
First-order derivative expression Higher derivatives Derivative > Higher derivatives (This is a stronger condition than having k derivatives, as shown by the second example of Smoothness § Examples.) A function that has infinitely many derivatives is called infinitely differentiable or smooth. On the real line, every p...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Membrane (selective barrier) Reverse osmosis (RO) Permeation_membrane > Membrane processes classifications > Reverse osmosis (RO) Reverse osmosis is commonly used for desalination. As well, RO is commonly used for the removal of dissolved constituents from wastewater remaining after advanced treatment with microfiltrat...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Mutual recursion Datatypes Mutual_recursion > Examples > Datatypes This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest: t: v , ..., t] A tree t consists of a pair of a value v and a list of trees (its children). This definition is more compact, but...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Network topologies Wireless technologies Daisy_chain_(network_topology) > Links > Wireless technologies The satellites are stationed in space, typically in geostationary orbit 35,786 km (22,236 mi) above the equator. These Earth-orbiting systems are capable of receiving and relaying voice, data, and TV signals.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Molecular cell biology Structure of eukaryotic cells Molecular_cell_biology > Structure and function > Structure of eukaryotic cells This functions for the production of energy or ATP within the cell. Specifically, this is the place where the Krebs cycle or TCA cycle for the production of NADH and FADH occurs. Afterwar...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Procedural programming Functional programming Procedural_language > Comparison with other programming paradigms > Functional programming Functional programming languages support (and heavily use) first-class functions, anonymous functions and closures, although these concepts have also been included in procedural langu...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
MS SQL SQL Server Management Studio MS_SQL_Server > Services > SQL Server Management Studio It can be used to visually observe and analyze query plans and optimize the database performance, among others. SQL Server Management Studio can also be used to create a new database, alter any existing database schema by adding...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Linear probing Properties Linear_probing > Properties Linear probing provides good locality of reference, which causes it to require few uncached memory accesses per operation. Because of this, for low to moderate load factors, it can provide very high performance. However, compared to some other open addressing strate...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Finite metric space Generalizations of metric spaces Quasimetric_space > Generalizations of metric spaces There are several notions of spaces which have less structure than a metric space, but more than a topological space. Uniform spaces are spaces in which distances are not defined, but uniform continuity is. Approac...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
AFR sensor Practicalities of operation Air-fuel_ratio_meter > Practicalities of operation This ratio maintains a "neutral" engine performance (lower fuel consumption yet decent engine power and minimal pollution). The average level of the sensor is near to 450 mV. Since catalytic converters need a cycling a/f ratio the...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
In memory database ACID support In-memory_database > ACID support Many IMDBs have added durability via the following mechanisms: Snapshot files, or, checkpoint images, which record the state of the database at a given moment in time. The system typically generates these periodically, or at least when the IMDB does a co...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Newton's gravitational law Summary Classical_gravitation In today's language, the law states that every point mass attracts every other point mass by a force acting along the line intersecting the two points. The force is proportional to the product of the two masses, and inversely proportional to the square of the dis...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Variable speed wind turbine Above rated power Variable_speed_wind_turbine > Operating strategies for variable speed wind turbines > Pitch regulated > Above rated power Above the rated wind speed, the pitching mechanism is employed. This allows a good level of control over the angle of attack, thus control over the torq...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Moving frames Method of the moving frame Method_of_moving_frames > Method of the moving frame Cartan (1937) formulated the general definition of a moving frame and the method of the moving frame, as elaborated by Weyl (1938). The elements of the theory are A Lie group G. A Klein space X whose group of geometric automor...
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List of measuring instruments Magnetic field List_of_measuring_instruments > Electricity, electronics, and electrical engineering > Magnetic field See also the relevant section in the article about the magnetic field. Compass Hall effect sensor Magnetometer Proton magnetometer SQUIDFor the ranges of magnetic field see:...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Highly cototient number Primes Highly_cototient_number > Primes The first few highly cototient numbers which are primes are 2, 23, 47, 59, 83, 89, 113, 167, 269, 389, 419, 509, 659, 839, 1049, 1259, 1889, 2099, 2309, 2729, 3359, 3989, 4289, 4409, 5879, 6089, 6719, 9029, 9239, ... (sequence A105440 in the OEIS)
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
What Darwin Got Wrong The problem of "selection-for" What_Darwin_Got_Wrong > Summary > The problem of "selection-for" Intensional causation requires either (1) there be a mind involved in the causal process, or (2) the causal mechanism has access to nomological laws. Since there is neither (1) nor (2) at the biological...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Basic quantum mechanics Evidence of quanta from the photoelectric effect Quantum_mechanics_-_simplified > History > Evidence of quanta from the photoelectric effect The continuous wave theories of the time would predict that more light intensity would accelerate the same amount of current to higher velocity contrary to...
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Sedimentary Rock Primary sedimentary structures Sedimentary_rocks > Properties > Primary sedimentary structures When sedimentary rocks have no lamination at all, their structural character is called massive bedding. Graded bedding is a structure where beds with a smaller grain size occur on top of beds with larger grai...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Automatic block signalling Summary Automatic_Block_Signaling Older manual block systems required human operators. The automatic operation comes from the system's ability to detect whether blocks are occupied or otherwise obstructed, and to convey that information to approaching trains. The system operates without any o...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Optical Fourier transform Lens as a low-pass filter Fourier_optics > Applications of Fourier optics principles > Fourier transforming property of lenses > Lens as a low-pass filter Note: this logic is valid only for small sources, such that the lens is in the far field region of the source, according to the 2D2/λ crite...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Time derivative Use in economics Time_derivative > Use in economics The flow of inventory investment is the time derivative of the stock of inventories. The growth rate of the money supply is the time derivative of the money supply divided by the money supply itself.Sometimes the time derivative of a flow variable can ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Greedy heuristic Examples Greedy_search > Examples The activity selection problem is characteristic of this class of problems, where the goal is to pick the maximum number of activities that do not clash with each other. In the Macintosh computer game Crystal Quest the objective is to collect crystals, in a fashion sim...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Noble gas compounds Summary Noble_gas_compound The heavier noble gases have more electron shells than the lighter ones. Hence, the outermost electrons are subject to a shielding effect from the inner electrons that makes them more easily ionized, since they are less strongly attracted to the positively-charged nucleus....
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Photovoltaic power plant Operation and maintenance Photovoltaic_plant > The business of developing solar parks > Operation and maintenance It also provides data to enable the scheduling of both rectification and preventive maintenance. A small number of large solar farms use a separate inverter or maximizer for each so...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Differential rotation The cause of differential rotation Differential_rotation > The cause of differential rotation Stars and planets rotate in the first place because conservation of angular momentum turns random drifting of parts of the molecular cloud that they form from into rotating motion as they coalesce. Given ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Limit (mathematics) In functions Mathematical_limit > Types of limits > In functions This is known as the (ε, δ)-definition of limit. The inequality 0 < | x − c | {\displaystyle 0<|x-c|} is used to exclude c {\displaystyle c} from the set of points under consideration, but some authors do not include this in their defi...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Oxidative phosphorylation Summary Oxidative_phosphorylation The ATP synthase uses the energy to transform adenosine diphosphate (ADP) into adenosine triphosphate, in a phosphorylation reaction. The reaction is driven by the proton flow, which forces the rotation of a part of the enzyme. The ATP synthase is a rotary mec...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Masdar City The Catalyst Masdar_City > Commercial tenants and population > The Catalyst Masdar City partnered with oil giant BP to created The Catalyst, an investor that supports clean-tech start-ups. As of May 2023, The Catalyst supports eight start-ups. It aims to attract companies focusing on green technology, and t...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Triangle geometry Points, lines, and circles associated with a triangle Triangle_(geometry) > Points, lines, and circles associated with a triangle A perpendicular bisector of a side of a triangle is a straight line passing through the midpoint of the side and being perpendicular to it, i.e. forming a right angle with ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Valence orbital Electrical conductivity Valence_electrons > Electrical conductivity (The noble gases remain as single atoms, but those also experience intermolecular forces of attraction, that become stronger as the group is descended: radon boils at −61.7 °C.) A solid compound containing metals can also be an insulato...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Neural networks Types of models Neural_networks > Neuroscience > Types of models Many models are used; defined at different levels of abstraction, and modeling different aspects of neural systems. They range from models of the short-term behaviour of individual neurons, through models of the dynamics of neural circuitr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Post modern portfolio theory Discussion Post_modern_portfolio_theory > Discussion The assumption of a normal distribution is a major practical limitation, because it is symmetrical. Using the variance (or its square root, the standard deviation) implies that uncertainty about better-than-expected returns is equally ave...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Joint effusion Septic arthritis Joint_effusion > Diagnostic approach > Differential diagnosis > Septic arthritis Septic arthritis is the purulent invasion of a joint by an infectious agent with a resultant large effusion due to inflammation. Septic arthritis is a serious condition. It can lead to irreversible joint dam...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Retrieval Data Structure Perfect hash functions Retrieval_Data_Structure > Examples > Perfect hash functions Another simple example to build a static function is using a perfect hash function: After building the PHF for our keys, store the corresponding values at the correct position for the key. As can be seen, this a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Liquid metal embrittlement Mechanisms Liquid_metal_embrittlement > Mechanisms Gordon postulated a model based on diffusion-penetration of liquid metal atoms to nucleate cracks which under stress grow to cause failure. The ductile failure model of Lynch and Popovich predicted that adsorption of the liquid metal leads to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Parkinsonian tremor Prevention Parkinson_disease > Prevention Exercise in middle age may reduce the risk of PD later in life. Caffeine appears protective with a greater decrease in risk occurring with a larger intake of caffeinated beverages such as coffee.Antioxidants, such as vitamins C and E, have been proposed to p...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Computer simulations of fluids Reynolds-averaged Navier–Stokes Computational_fluid_mechanics > Methodology > Turbulence models > Reynolds-averaged Navier–Stokes There is nothing inherent in Reynolds averaging to preclude this, but the turbulence models used to close the equations are valid only as long as the time over...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Microbial cooperation Quorum sensing Microbial_cooperation > Other microbial interactions > Quorum sensing This important link between quorum sensing and anaerobiosis has a significant impact on production of virulence factors of this organism. It is hoped that the therapeutic enzymatic degradation of the signaling mol...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
System integrity Summary System_integrity In telecommunications, the term system integrity has the following meanings: That condition of a system wherein its mandated operational and technical parameters are within the prescribed limits. The quality of an AIS when it performs its intended function in an unimpaired mann...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Fast Kalman Filter Motivation Fast_Kalman_Filter > Motivation This means that even optimal Kalman filters may start diverging towards false solutions. Fortunately, the stability of an optimal Kalman filter can be controlled by monitoring its error variances if only these can be reliably estimated (e.g. by MINQUE). Thei...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Symbolic Circuit Analysis Frequency domain expressions Symbolic_Circuit_Analysis > Frequency domain expressions In the frequency domain the most common task of symbolic circuit analysis is to obtain the relationship between input and output variables in the form of a rational function in the complex frequency s {\displ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Primary progressive multiple sclerosis Prognosis Multiple_Sclerosis > Prognosis The availability of treatments that modify the course of multiple sclerosis beginning in the 1990s, known as disease-modifying therapies (DMTs), has improved prognosis. These treatments can reduce relapses and slow progression, but as of 20...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Crypto asset Blockchain Cryptocurrency > Architecture > Blockchain It is "an open, distributed ledger that can record transactions between two parties efficiently and in a verifiable and permanent way". For use as a distributed ledger, a blockchain is typically managed by a peer-to-peer network collectively adhering to...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Policy analysis Group model Policy_analysis > Evidence-based models > For workplaces > Group model The group is the bridge between the individual and the administration. The executive is thus pressured by interest groups. The task of the system is to: Establish the rules of the game Arrange compromises and balance inte...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Pulse-Doppler radar Benefits Pulse-Doppler_radar > Principle > Benefits Medium pulse repetition frequency (PRF) reflected microwave signals fall between 1,500 and 15,000 cycle per second, which is audible. This means a helicopter sounds like a helicopter, a jet sounds like a jet, and propeller aircraft sound like prope...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Peltier cooler Performance Thermoelectric_cooling > Performance There comes a temperature difference when the waste heat and heat moving back overcomes the moved heat, and the module starts to heat the cool side instead of cooling it further. A single-stage thermoelectric cooler will typically produce a maximal tempera...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Vertical search Benefits Vertical_search > Benefits Vertical search offers several potential benefits over general search engines: Greater precision due to limited scope, Leverage domain knowledge including taxonomies and ontologies, Support of specific unique user tasks.Vertical search can be viewed as similar to ente...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Turing's proof Summary of the third proof Turing's_proof > Summary of the proofs > Summary of the third proof This formula is TRUE, that is, it is "constructible", and he shows how to go about this. Then Turing proves two Lemmas, the first requiring all the hard work. (The second is the converse of the first.) Then he ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Epidemiological transition Theory Epidemiological_transition > Theory Population growth is sustained and begins to be exponential. The Age of Degenerative and Man-Made Diseases: Mortality continues to decline and eventually approaches stability at a relatively low level. Mortality is increasingly related to degenerativ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Approximation error Examples Relative_uncertainty > Examples As an example, if the exact value is 50 and the approximation is 49.9, then the absolute error is 0.1 and the relative error is 0.1/50 = 0.002 = 0.2%. As a practical example, when measuring a 6 mL beaker, the value read was 5 mL. The correct reading being 6 m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Physiological psychology Nervous system Physiological_psychology > Nervous system The brain is the control center of the body and contains millions of neural connections. This organ is responsible for sending and receiving messages from the body and its environment. Each part of the brain is specialized for different a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Sexagesimal number system Notations Sexagesimal_number_system > Notations In Hellenistic Greek astronomical texts, such as the writings of Ptolemy, sexagesimal numbers were written using Greek alphabetic numerals, with each sexagesimal digit being treated as a distinct number. Hellenistic astronomers adopted a new symb...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
List of uncertainty propagation software Software List_of_uncertainty_propagation_software > Software Includes first-order algebraic and numerical differentiation, including finite-difference with specified step size and Kragten's method, as well as Monte Carlo simulation. Evaluation can be applied to R expressions, fo...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Line integral convolution OLIC Line_integral_convolution > Versions > OLIC Oriented Line Integral Convolution (OLIC) Fast Rendering of Oriented Line Integral Convolution ( FROLIC)
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Secure computation Multi-party protocols Secure_computation > Protocols > Multi-party protocols In both cases the shares are random elements of a finite field that add up to the secret in the field; intuitively, security is achieved because any non-qualifying set of shares looks randomly distributed. Secret sharing sch...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Cell turnover Checkpoints Cell_division_cycle > Checkpoints Checkpoint regulation plays an important role in an organism's development. In sexual reproduction, when egg fertilization occurs, when the sperm binds to the egg, it releases signalling factors that notify the egg that it has been fertilized. Among other thin...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Olation Summary Olation As the pH increases, one O-H bond ionizes to give the hydroxide complex, the conjugate base of the parent hexaaqua complex: 3+ ⇌ 2+ + H+The hydroxo complex is poised to undergo olation, which is initiated by displacement of one water by a neighboring complex: 2+ + 3+ ⇌ M(H2O)5(μ-OH)M(H2O)5}5+ + ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Autostereogram Terminology Autostereogram > Terminology When the single 2D image is viewed with proper eye convergence, it causes the brain to fuse different patterns perceived by the two eyes into a virtual 3D image without, hidden within the 2D image, the aid of any optical equipment. SIS images are created using a r...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Flood forecasting Summary Flood_forecasting However, physically-based models are state-dependent and require accurate initial conditions for optimal performance. During the so-called "warming period" of the model, the performance might be lower due to the reliance on initial conditions.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Free fatty acid receptor 1 Breast cancer Free_fatty_acid_receptor_1 > FFAR1 functions and activities > Cancer > Breast cancer 4) GW9508 increased the motility of FFAR4 knockdown MCF-7 and SK-BR-3 breast cancer cells compared to their respective control (i.e., FFAR4-expressing) MCF7 and SK-BR-3 cells. 5) GW9508 increase...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Biological network Communities Biological_network > Modelling biological networks > Communities The resulting communities displayed a sizable split in pelagic and benthic organisms. Two very common community detection algorithms for biological networks are the Louvain Method and Leiden Algorithm. The Louvain method is ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Principal component regression The principle Principal_component_regression > The principle The PCR method may be broadly divided into three major steps: 1. {\displaystyle \;\;} Perform PCA on the observed data matrix for the explanatory variables to obtain the principal components, and then (usually) select a subset, ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Denotational semantics Meanings of recursive programs Fully_abstract > Historical development > Meanings of recursive programs F could be defined in code as follows (using Map for N ⇀ N {\displaystyle \mathbb {N} \rightharpoonup \mathbb {N} } ): Then we can introduce the notation Fn to indicate F applied n times. F0({}...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Memory Span Intrinsic factors Memory_Span > Factors > Intrinsic factors The decline in memory span with old age has been associated with a decrease of working memory storage and processing, and the age difference in working memory becomes greater as the memory tasks performed become more difficult. Generally, the decli...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Disruptive behavior disorders Anxiety disorders Disruptive_behavior_disorders > Anxiety disorders 300.02 Generalized anxiety disorder Panic disorder 300.21 With agoraphobia 300.01 Without agoraphobia 300.22 Agoraphobia without history of panic disorder 300.29 Specific phobia 300.23 Social phobia 300.3 Obsessive-compuls...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Discrete log problem Definition Discrete_log_problem > Definition {\displaystyle b^{k}=\underbrace {b\cdot b\cdots b} _{k\;{\text{factors}}}.} Similarly, let b−k denote the product of b−1 with itself k times. For k = 0, the kth power is the identity: b0 = 1. Let a also be an element of G. An integer k that solves the e...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Transport Phenomena (book) Subjects covered in the book Transport_Phenomena_(book) > Subjects covered in the book The book is divided into three basic sections, named Momentum Transport, Energy Transport and Mass Transport: Momentum Transport Viscosity and the Mechanisms of Momentum Transport Momentum Balances and Velo...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Niche cell Summary Niche_cell Stem-cell niche refers to a microenvironment, within the specific anatomic location where stem cells are found, which interacts with stem cells to regulate cell fate. The word 'niche' can be in reference to the in vivo or in vitro stem-cell microenvironment. During embryonic development, v...
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Uniformly continuous function Relations with the extension problem Uniformly_continuous_function > Relations with the extension problem It is easy to see that every uniformly continuous function is Cauchy-continuous and thus extends to X {\displaystyle X} . The converse does not hold, since the function f: R → R , x ↦ ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
OpenStreetMap Data structure OpenStreetMap > OSM Data > Data structure Tags are key-value pairs (both arbitrary strings). They are used to store metadata about the map objects (such as their type, their name and their physical properties). Tags are not freestanding, but are always attached to an object: to a node, a wa...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Energy form Earth sciences Energy_forms > Scientific use > Earth sciences In geology, continental drift, mountain ranges, volcanoes, and earthquakes are phenomena that can be explained in terms of energy transformations in the Earth's interior, while meteorological phenomena like wind, rain, hail, snow, lightning, torn...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Validation rule Consistency check Data_Validation > Different kinds > Consistency check Consistency validation ensures that data is logical. For example, the delivery date of an order can be prohibited from preceding its shipment date.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Indefinite integral Uses and properties Indefinite_integration > Uses and properties Antiderivatives can be used to compute definite integrals, using the fundamental theorem of calculus: if F is an antiderivative of the integrable function f over the interval {\displaystyle } , then: Because of this, each of the infin...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Run queue Summary Run_queue In modern computers many processes run at once. Active processes are placed in an array called a run queue, or runqueue. The run queue may contain priority values for each process, which will be used by the scheduler to determine which process to run next. To ensure each program has a fair s...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Paper machine Glossary Paper_machines > Glossary pH: the degree of acidity or alkalinity of a solution. Alkaline paper has a very long life. Acid paper deteriorates over time, which caused libraries to either take conservation measures or replace many older books.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Enzyme kinetics Enzyme assays Ping_pong_mechanism > Enzyme assays Enzyme assays are laboratory procedures that measure the rate of enzyme reactions. Since enzymes are not consumed by the reactions they catalyse, enzyme assays usually follow changes in the concentration of either substrates or products to measure the ra...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Real multivariable function Multiple integration Multi-variable_function > Calculus > Multiple integration Multiple integrals extend the dimensionality of this concept: assuming an n-dimensional analogue of a rectangular Cartesian coordinate system, the above definite integral has the geometric interpretation as the n-...
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Complexity Varied meanings Complexity > Varied meanings Different kinds of Kolmogorov complexity are studied: the uniform complexity, prefix complexity, monotone complexity, time-bounded Kolmogorov complexity, and space-bounded Kolmogorov complexity. An axiomatic approach to Kolmogorov complexity based on Blum axioms (...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Dynamic systems theory Overview Mathematical_system_theory > Overview Dynamical systems theory and chaos theory deal with the long-term qualitative behavior of dynamical systems. Here, the focus is not on finding precise solutions to the equations defining the dynamical system (which is often hopeless), but rather to a...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Convolution operator Relations with other transforms Convolution_operator > Definition > Relations with other transforms The existing ones are only modified (amplitude and/or phase). In other words, the output transform is the pointwise product of the input transform with a third transform (known as a transfer function...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Heat-island effect Causes Urban_heat > Causes The tall buildings within many urban areas provide multiple surfaces for the reflection and absorption of sunlight, increasing the efficiency with which urban areas are heated. This is called the "urban canyon effect". Another effect of buildings is the blocking of wind, wh...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Open API Open API Public_API > Open API versus private API > Open API However, it is important to remember that opening back end information to the public can create a range of security and management challenges. For example, publishing open APIs can make it harder for organisations to control the experience end users ...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Forth virtual machine Structure of the compiler Forth_programming_language > Structure of the language > Structure of the compiler The compiler itself is not a monolithic program. It consists of Forth words visible to the system, and usable by a programmer. This allows a programmer to change the compiler's words for sp...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Stress exposure training Summary Stress_exposure_training In this context, stress is a process by which environmental demands result in a perception that demand exceeds resources. This can have negative physiological, psychological, behavioral, or social effects, by restricting attention and distracting the operator fr...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Kolmogorov–Smirnov statistic The Kolmogorov–Smirnov statistic in more than one dimension Kolmogorov–Smirnov_test > The Kolmogorov–Smirnov statistic in more than one dimension This is not straightforward because the maximum difference between two joint cumulative distribution functions is not generally the same as the m...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Heliography Alternative meanings Heliography > Alternative meanings The word has also been used to refer to other phenomena: for description of the sun (cf. geography), for photography in general, for signalling by heliograph (a device less commonly called a heliotrope or helio-telegraph), and for photography of the su...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Probability box Special cases Probability_box > Special cases Its p-box looks like a rectangular box whose upper and lower bounds jump from zero to one at the endpoints of the interval. Mathematically, an interval corresponds to the degenerate p-box {H(a), H(b), , , D {\displaystyle \mathbb {D} } }, where H denotes th...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Hash value Zobrist hashing Hashing_algorithm > Hashing integer data types > Zobrist hashing The original Zobrist hash was stored in the table as the representation of the position. Later, the method was extended to hashing integers by representing each byte in each of 4 possible positions in the word by a unique 32-bit...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Trastuzumab Mechanism of action Trastuzumab > Mechanism of action Those bound proteins then link (dimerize), activating the receptor. HER2 sends a signal from its intracellular domain, activating several different biochemical pathways.
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Medium Earth orbit Applications Intermediate_circular_orbit > Applications Two medium Earth orbits are particularly significant. A satellite in the semi-synchronous orbit at an altitude of approximately 20,200 kilometres (12,600 mi) has an orbital period of 12 hours and passes over the same two spots on the equator eve...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Pseudo Jahn–Teller effect Comparison with the Jahn-Teller effect Pseudo_Jahn–Teller_effect > Theoretical background > Comparison with the Jahn-Teller effect The driving force of the PJTE is added (improved) covalence: the PJTE distortion takes place when it results in an energy gain due to greater covalent bonding betw...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus
Nanocircuitry Production methods Nanocircuitry > Production methods The first part of their organization begins with transistors. As of right now, most electronics are using silicon-based transistors. Transistors are an integral part of circuits as they control the flow of electricity and transform weak electrical sign...
https://www.kaggle.com/datasets/conjuring92/wiki-stem-corpus