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Newton's cradle Other examples of this effect Newton's_cradle > Physics explanation > Simple solution > Other examples of this effect The surrounding atoms, molecules, or sub-volumes experiencing the pressure wave act to constrain each other similarly to how the string constrains the cradle's balls to a straight line. ...
Meudon Great Refractor Design and construction Meudon_Great_Refractor > Design and construction There are two objective lenses, one is designed for the human eye, and the other for photography. The 62 cm lens is designed to focus blue light, which is the color desired for the film emulsion. (It would be another century...
Demyelinating disease Summary Demyelinating_disease A demyelinating disease refers to any disease affecting the nervous system where the myelin sheath surrounding neurons is damaged. This damage disrupts the transmission of signals through the affected nerves, resulting in a decrease in their conduction ability. Conseq...
Ucode system Structure and Resolution mechanism Ucode_system > Structure and Resolution mechanism The ucode server architecture is similar to the familiar Internet DNS resolution service. Like DNS, the ucode resolution mechanism consists of hierarchical levels. The ucode resolution mechanism is three tiered as follows:...
Building material Metal Building_material > Man-made substances > Metal Corrosion is metal's prime enemy when it comes to longevity. Steel is a metal alloy whose major component is iron, and is the usual choice for metal structural building materials. It is strong, flexible, and if refined well and/or treated lasts a l...
Fornix of the brain Structure Hippocampal_commissure > Structure The left and right parts separate, but there is also an anterior/posterior divergence. The posterior fibers (called the postcommissural fornix) of each side continue through the hypothalamus to the mammillary bodies; then to the anterior nuclei of thalamu...
Surgical shock Summary Surgical_shock Surgical shock is the shock to the circulation resulting from surgery. It is commonly due to a loss of blood which results in insufficient blood volume. == References ==
Kolmogorov's axioms The numeric bound Kolmogorov's_axioms > Consequences > The numeric bound It immediately follows from the monotonicity property that 0 ≤ P ( E ) ≤ 1 ∀ E ∈ F . {\displaystyle 0\leq P(E)\leq 1\qquad \forall E\in F.}
Holomorphic Fock space Weyl calculus Schrödinger_representation > Weyl calculus Defining in general W ( F ) = 1 2 π ∫ F ( z ) W ( z ) d x d y , {\displaystyle W(F)={1 \over 2\pi }\int F(z)W(z)\,dxdy,} the product of two such operators is given by the formula W ( F ) W ( G ) = W ( F ⋆ G ) , {\displaystyle W(F)W(G)=W(F\s...
Bivalve molluscs Nervous system Bivalve_molluscs > Anatomy > Nervous system The sedentary habits of the bivalves have meant that in general the nervous system is less complex than in most other molluscs. The animals have no brain; the nervous system consists of a nerve network and a series of paired ganglia. In all but...
Sound velocity probe Summary Sound_velocity_probe A sound velocity probe is a device that is used for measuring the speed of sound, specifically in the water column, for oceanographic and hydrographic research purposes.
Kinodynamic planning Summary Kinodynamic_planning These techniques for kinodynamic planning have been shown to work well in practice. However, none of these heuristic techniques can guarantee the optimality of the computed solution (i.e., they have no performance guarantees), and none can be mathematically proven to be...
Finite potential barrier (QM) Remarks and applications Finite_potential_barrier_(QM) > Remarks and applications On the other hand, many systems only change along one coordinate direction and are translationally invariant along the others; they are separable. The Schrödinger equation may then be reduced to the case cons...
Chaotic dynamical system A popular but inaccurate analogy for chaos Chaotic_dynamical_system > A popular but inaccurate analogy for chaos The sensitive dependence on initial conditions (i.e., butterfly effect) has been illustrated using the following folklore: For want of a nail, the shoe was lost. For want of a shoe, ...
Brain injuries Long term psychological and physiological effects Brain_damage > Signs and symptoms > Long term psychological and physiological effects There are multiple responses of the body to brain injury, occurring at different times after the initial occurrence of damage, as the functions of the neurons, nerve tra...
PH meter Calibration and operation PH_electrode > Design and use > Calibration and operation For general purposes, buffers at pH 4.00 and pH 10.00 are suitable. The pH meter has one calibration control to set the meter reading equal to the value of the first standard buffer and a second control to adjust the meter read...
Velocity Scalar velocities Velocity_vector > Relative velocity > Scalar velocities In the one-dimensional case, the velocities are scalars and the equation is either: if the two objects are moving in opposite directions, or: if the two objects are moving in the same direction.
Vertical queue Concept usage Vertical_queue > Concept usage The first vehicle to arrive at the point of congestion would thus be at the bottom of the vertical queue. Vehicles incur no delay traveling to the point of congestion, and travel to the point at which the vertical queue occurs without hindrance. The vehicles o...
Impact of the COVID-19 pandemic on other health issues Summary Impact_of_the_COVID-19_pandemic_on_other_health_issues As of June 2020, 40% of U.S. adults were experiencing adverse mental health symptoms, with 11% having seriously considered to attempt suicide. The research data suggest that the pandemic has negative ef...
Functional reactive programming Interactive FRP Functional_reactive_programming > Interactive FRP It has been pointed out that the ordinary FRP model, from inputs to outputs, is poorly suited to interactive programs. Lacking the ability to "run" programs within a mapping from inputs to outputs may mean one of the follo...
Perceptual load theory Summary Perceptual_load_theory Perceptual load theory is a psychological theory of attention. It was presented by Nilli Lavie in the mid-nineties as a potential resolution to the early/late selection debate.This debate relates to the "cocktail party problem": how do people at a cocktail party sel...
Nuclear C*-algebra Examples Nuclear_C*-algebra > Examples The commutative unital C ∗ {\displaystyle ^{*}} algebra of (real or complex-valued) continuous functions on a compact Hausdorff space as well as the noncommutative unital algebra of n × n {\displaystyle n\times n} real or complex matrices are nuclear (cf. here).
Sample standard deviation Confidence interval of a sampled standard deviation Standard_deviations > Estimation > Confidence interval of a sampled standard deviation A larger population of N = 10 has 9 degrees of freedom for estimating the standard deviation. The same computations as above give us in this case a 95% CI ...
Principle of sufficient reason History Principle_of_sufficient_reason > History The modern formulation of the principle is usually ascribed to early Enlightenment philosopher Gottfried Leibniz. Leibniz formulated it, but was not an originator. The idea was conceived of and utilized by various philosophers who preceded ...
Adiponectin Discovery Adiponectin > Discovery The gene was investigated for variants that predispose to type 2 diabetes. Several single nucleotide polymorphisms in the coding region and surrounding sequence were identified from several different populations, with varying prevalences, degrees of association and strength...
Long-bolt engine Advantages Long-bolt_engine > Advantages This permits the block and crankcase to be made lighter and less stiff, whilst still reducing the amount of deflection and twist exhibited in service. When a ladder-frame main bearing cap is used, the crankcase assembly becomes considerably stiffer.These advanta...
Early life of Isaac Newton Universal law of gravitation Early_life_of_Isaac_Newton > Universal law of gravitation At a meeting of the Royal Society on 11 January 1672, Oldenburg, the secretary, read a letter from Paris describing the procedure followed by Jean Picard in measuring a degree, and specifically stating the ...
Certainty equivalence principle Summary Certainty_equivalence_principle Stochastic control or stochastic optimal control is a sub field of control theory that deals with the existence of uncertainty either in observations or in the noise that drives the evolution of the system. The system designer assumes, in a Bayesia...
Latent class model Related methods Latent_class_analysis > Related methods Modified to handle discrete data, this constrained analysis is known as LCA. Discrete latent trait models further constrain the classes to form from segments of a single dimension: essentially allocating members to classes on that dimension: an ...
Bar recursion Summary Bar_recursion Bar recursion is a generalized form of recursion developed by C. Spector in his 1962 paper. It is related to bar induction in the same fashion that primitive recursion is related to ordinary induction, or transfinite recursion is related to transfinite induction.
Nigrostriatal pathway Levodopa-induced dyskinesia Nigrostriatal_pathway > Clinical significance > Parkinson's disease > Levodopa-induced dyskinesia Levodopa-induced dyskinesias (LID) is a complication associated with long-term use of the Parkinson's treatment L-DOPA, characterized by involuntary movement and muscle con...
Adiabatic shear band Deformation Adiabatic_shear_band > Deformation During work hardening, the micro-structure, distortion of grain structure and the generation and glide of dislocations all occur. The remainder of the plastic work done – which can be as much as 90% of the total, is dissipated as heat. If the plastic d...
Coherent effects in semiconductor optics Photon echoes of excitons Coherent_effects_in_semiconductor_optics > Selected coherent effects > Photon echoes of excitons When photon echo experiments are performed in semiconductors with exciton resonances, it is essential to include many-body effects in the theoretical analys...
Construction of the real numbers On models Constructions_of_real_numbers > Axiomatic definitions > Axioms > On models Saying that any two models are isomorphic means that for any two models ( R , 0 R , 1 R , + R , × R , ≤ R ) {\displaystyle (\mathbb {R} ,0_{\mathbb {R} },1_{\mathbb {R} },+_{\mathbb {R} },\times _{\math...
Pyramorphix Number of combinations Pyramorphix > Master Pyramorphix > Number of combinations There are six edge pieces which are fixed in position relative to one another, each of which has four possible orientations. If the puzzle is solved apart from these pieces, the number of edge twists will always be even, making...
Homogeneous electron gas Zero-temperature phase diagram of jellium in three and two dimensions Uniform_electron_gas > Zero-temperature phase diagram of jellium in three and two dimensions To minimize the kinetic energy, the single-electron states are delocalized, in a state very close to the Slater determinant (non-int...
Array programming Mathematical reasoning and language notation Array_programming > Mathematical reasoning and language notation The matrix left-division operator concisely expresses some semantic properties of matrices. As in the scalar equivalent, if the (determinant of the) coefficient (matrix) A is not null then it ...
Buckingham π theorem Speed Buckingham_pi_theorem > Examples > Speed In linear algebra, the set of vectors with this property is known as the kernel (or nullspace) of the dimensional matrix. In this particular case its kernel is one-dimensional. The dimensional matrix as written above is in reduced row echelon form, so ...
Epinephrine (neurotransmitter) Mechanism of action Epinephrine_(neurotransmitter) > Mechanism of action It increases peripheral resistance via α1 receptor-dependent vasoconstriction and increases cardiac output by binding to β1 receptors. The goal of reducing peripheral circulation is to increase coronary and cerebral ...
Stack canary Bypass countermeasures Stack_canary > Protection schemes > Bypass countermeasures The previous mitigations make the steps of the exploitation harder. But it is still possible to exploit a stack buffer overflow if some vulnerabilities are presents or if some conditions are met.
Gershgorin circle theorem Example Gershgorin_circle_theorem > Example {\displaystyle D(10,2),\;D(8,0.6),\;D(2,3),\;{\text{and}}\;D(-11,3).} Note that we can improve the accuracy of the last two discs by applying the formula to the corresponding columns of the matrix, obtaining D ( 2 , 1.2 ) {\displaystyle D(2,1.2)} and...
Piperacillin Pharmacodynamics Piperacillin > Pharmacology > Pharmacodynamics Similar results are found in a study where a select number of β-lactam susceptible pathogens consisting of Enterococcus faecalis, Klebsiella pneumoniae and Citrobacter freundii were used to test a ~10g every 24 hour dosing interval for continu...
Field coupling Angular momentum coupling Coupling_(physics) > Quantum mechanics > Angular momentum coupling When angular momenta from two separate sources interact with each other, they are said to be coupled. For example, two electrons orbiting around the same nucleus may have coupled angular momenta. Due to the conse...
Autoreactive lymphocyte Function Autoreactive_lymphocyte > Function The atypical lymphocytes have been best studied from blood of patients with infectious mononucleosis. Early studies suspect that atypical lymphocytes could have both T or B cells features; now it is more suggested that reactive lymphocytes are activate...
Intestinal cancer Pathogenesis Bowel_cancer > Pathogenesis DCC commonly has a deleted segment of a chromosome in colorectal cancer.Approximately 70% of all human genes are expressed in colorectal cancer, with just over 1% of having increased expression in colorectal cancer compared to other forms of cancer. Some genes ...
Personality development Evolutionary Personality_development > Theories > Evolutionary The evolutionary theory of personality development is primarily based on the evolutionary process of natural selection. From the evolutionary perspective, evolution resulted in variations of the human mind. Natural selection refined ...
Electron shell model History K_shell > History During this period Bohr was working with Walther Kossel, whose papers in 1914 and in 1916 called the orbits "shells". Sommerfeld retained Bohr's planetary model, but added mildly elliptical orbits (characterized by additional quantum numbers ℓ and m) to explain the fine sp...
C8H10FN3O3S Summary C8H10FN3O3S The molecular formula C8H10FN3O3S (molar mass: 247.24 g/mol, exact mass: 247.0427 u) may refer to: Emtricitabine (FTC) Racivir
RNA World Hypothesis Implications RNA_World_Hypothesis > Implications RNAs are known to play roles in other cellular catalytic processes, specifically in the targeting of enzymes to specific RNA sequences. In eukaryotes, the processing of pre-mRNA and RNA editing take place at sites determined by the base pairing betwe...
Eigenvalues and eigenvectors of the second derivative Neumann case Eigenvalues_and_eigenvectors_of_the_second_derivative > Derivation of Eigenvalues and Eigenvectors in the Discrete Case > Neumann case Relabeling the indices in the formula above and combining with the zero eigenvalue, we obtain, λ k = − 4 h 2 sin 2 ⁡ (...
Iterated prisoner dilemma Stochastic iterated prisoner's dilemma Iterated_prisoner's_dilemma > The iterated prisoner's dilemma > Stochastic iterated prisoner's dilemma In a stochastic iterated prisoner's dilemma game, strategies are specified in terms of "cooperation probabilities". In an encounter between player X and...
Point-coincidence argument Meaning of coordinate invariance Point-coincidence_argument > Meaning of coordinate invariance In General Relativity, every separate local quantity which is used to describe the geometry is itself a local dynamical field, with its own equation of motion. This produces severe restrictions, bec...
Osmotic concentration Definition Osmotic_strength > Definition However, φ can also be larger than 1 (e.g. for sucrose). For salts, electrostatic effects cause φ to be smaller than 1 even if 100% dissociation occurs (see Debye–Hückel equation); n is the number of particles (e.g. ions) into which a molecule dissociates. ...
Random Sequence Modern approaches Random_Sequence > Modern approaches This definition is often called Kolmogorov–Loveland stochasticity. But this method was considered too weak by Alexander Shen who showed that there is a Kolmogorov–Loveland stochastic sequence which does not conform to the general notion of randomness...
HTTP Strict Transport Security Applicability HTTP_Strict_Transport_Security > Applicability Additionally, no warnings are presented to the user during the downgrade process, making the attack fairly subtle to all but the most vigilant. Marlinspike's sslstrip tool fully automates the attack.HSTS addresses this problem b...
Receiver Operating Characteristic Curve Explorer and Tester Background – ROC curves in biomarker discovery Receiver_Operating_Characteristic_Curve_Explorer_and_Tester > Background – ROC curves in biomarker discovery Medical biomarkers fall into 5 major categories: 1) diagnostic (used to identify if you have a disease o...
Gene expression programming Neural networks Gene_expression_programming > Neural networks This output (zero or one in this simple case) depends on the threshold of each unit, that is, if the total incoming activation is equal to or greater than the threshold, then the output is one, zero otherwise. The above NN-tree ca...
Oort constants Uses Oort_constants > Uses Since R0 can be determined by other means (such as by carefully tracking the motions of stars near the Milky Way's central supermassive black hole), knowing A {\displaystyle A} and B {\displaystyle B} allows us to determine V0. It can also be shown that the mass density ρ R {\d...
Proportional font Font metrics Proportional_spacing > Typeface anatomy > Font metrics Typefaces that can be substituted for one another in a document without changing the document's text flow are said to be "metrically identical" (or "metrically compatible"). Several typefaces have been created to be metrically compati...
Hereditarily countable set The collection of all h. c. sets Hereditarily_countable_set > Results > The collection of all h. c. sets The class of all hereditarily countable sets can be proven to be a set from the axioms of Zermelo–Fraenkel set theory (ZF) and is set is designated H ℵ 1 {\displaystyle H_{\aleph _{1}}} . ...
Velocity vector Polar coordinates Velocity > Polar coordinates It is also the dot product of velocity and transverse direction, or the product of the angular speed ω {\displaystyle \omega } and the radius (the magnitude of the position). such that Angular momentum in scalar form is the mass times the distance to the or...
Glossary of calculus E Glossary_of_calculus > E It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method. The Euler method is named after Leonhard Euler, who treated it in his book Institutionum calculi integralis (published 1768–1870). exp...
Desmos (graphing) Features Desmos_(graphing) > Features The tool comes pre-programmed with 36 different example graphs for the purpose of teaching new users about the tool and the mathematics involved.Another popular use of the calculator involves the creation of graphic arts using equations and inequalities. The calcu...
Digital video fingerprinting Summary Digital_video_fingerprinting Video fingerprinting or video hashing are a class of dimension reduction techniques in which a system identifies, extracts, and then summarizes characteristic components of a video as a unique or a set of multiple perceptual hashes or fingerprints, enabl...
Crash (computing) Application crashes Crash_(computing) > Application crashes An application typically crashes when it performs an operation that is not allowed by the operating system. The operating system then triggers an exception or signal in the application. Unix applications traditionally responded to the signal ...
Cache-oblivious algorithm Summary Cache-oblivious_algorithm Eventually, one reaches a subproblem size that fits into the cache, regardless of the cache size. For example, an optimal cache-oblivious matrix multiplication is obtained by recursively dividing each matrix into four sub-matrices to be multiplied, multiplying...
Computability theory (computation) Automorphism problems Computability_theory_(computation) > Areas of research > Automorphism problems Besides the lattice of computably enumerable sets, automorphisms are also studied for the structure of the Turing degrees of all sets as well as for the structure of the Turing degrees...
Signal level Dynamic range Signal_level > Definition > Dynamic range The concepts of signal-to-noise ratio and dynamic range are closely related. Dynamic range measures the ratio between the strongest un-distorted signal on a channel and the minimum discernible signal, which for most purposes is the noise level. SNR me...
Classifier constructions in sign languages Classification Classifier_constructions_in_sign_languages > Description > Classification Extension morphemes: Movement does not represent actual motion, but the outline of the entity's shape or perimeter. It can also represent the configuration of multiple similar entities, su...
Quantum dot cellular automaton State transition Quantum_dot_cellular_automata > State transition There is a connection between quantum-dot cells and cellular automata. Cells can only be in one of 2 states and the conditional change of state in a cell is dictated by the state of its adjacent neighbors. However, a method...
Mathesis universalis René Descartes Mathesis_universalis > René Descartes In Descartes' corpus the term mathesis universalis appears only in the Rules for the Direction of the Mind. In the discussion of Rule Four, Descartes' provides his clearest description of mathesis universalis: Rule Four We need a method if we are...
Dangling bonds Magnetic Dangling_bonds > Properties > Magnetic Ferromagnetic properties in various carbon nanostructures can be described using dangling bonds and may be used to create metal-free organic spintronics and polymeric ferromagnetic materials (see Applications). Creating dangling bonds with unpaired electron...
Adaptive feedback cancellation Jammer Suppression Adaptive_feedback_cancellation > Applications > Jammer Suppression Jammer suppression is a way to reject interference with large signals that are much stronger than traditional signals. This process uses an adaptive filter, and its algorithm has applications in all type...
Rydberg matter Physical Rydberg_matter > Physical Bonding in Rydberg matter is caused by delocalisation of the high-energy electrons to form an overall lower energy state. The way in which the electrons delocalise is to form standing waves on loops surrounding nuclei, creating quantised angular momentum and the definin...
6174 Other "Kaprekar's constants" 6174 > Other "Kaprekar's constants" There can be analogous fixed points for digit lengths other than four; for instance, if we use 3-digit numbers, then most sequences (i.e., other than repdigits such as 111) will terminate in the value 495 in at most 6 iterations. Sometimes these numb...
Dimension (physical quantity) Formalisms Numerical_value_equation > Dimensionless concepts > Formalisms Paradoxically, dimensional analysis can be a useful tool even if all the parameters in the underlying theory are dimensionless, e.g., lattice models such as the Ising model can be used to study phase transitions and ...
NSSL Doppler History NSSL_Doppler > History In the early 1940s, radar operators throughout Europe noticed that, when using radar to track objects otherwise concealed due to distance, haze, or otherwise, precipitation was also visible, causing issues when it came to masking and objects within cores of precipitation. Int...
Lie's third theorem Summary Lie's_third_theorem In the mathematics of Lie theory, Lie's third theorem states that every finite-dimensional Lie algebra g {\displaystyle {\mathfrak {g}}} over the real numbers is associated to a Lie group G {\displaystyle G} . The theorem is part of the Lie group–Lie algebra correspondenc...
Sequence alignment Dot-matrix methods Sequence_identity > Pairwise alignment > Dot-matrix methods The dot-matrix approach, which implicitly produces a family of alignments for individual sequence regions, is qualitative and conceptually simple, though time-consuming to analyze on a large scale. In the absence of noise,...
Mathematical formula Summary Formula In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities. The plural of formula can be...
Normal probability plot Summary Normal_probability_plot With modern computers normal plots are commonly made with software. The normal probability plot is a special case of the Q–Q probability plot for a normal distribution. The theoretical quantiles are generally chosen to approximate either the mean or the median of ...
Mitotic catastrophe Term usage Mitotic_catastrophe > Term usage Multiple attempts to specifically define mitotic catastrophe have been made since the term was first used to describe a temperature dependent lethality in the yeast, Schizosaccharomyces pombe, that demonstrated abnormal segregation of chromosomes. The term...
Ohms Law External links and further reading Ohm’s_law > External links and further reading (1963). "Resistance to Ohm's Law". American Journal of Physics.
Environment of evolutionary adaptedness Evolutionary psychology and culture Evolutionary_psychologists > Evolutionary psychology and culture Evolutionary psychologists thereby see physical and psychological characteristics of humans as genetically programmed. Even then, when evolutionary psychologists acknowledge the i...
Hamiltonian (control theory) The Hamiltonian of control compared to the Hamiltonian of mechanics Hamiltonian_(control_theory) > The Hamiltonian of control compared to the Hamiltonian of mechanics The associated conditions for a maximum are d p d t = − ∂ H ∂ q {\displaystyle {\frac {dp}{dt}}=-{\frac {\partial H}{\partia...
Air condition Mini-split and multi-split systems Air_conditioner > Types of air conditioner > Mini-split and multi-split systems Both were first sold in Japan. Variable refrigerant flow systems when compared with central plant cooling from an air handler, eliminate the need for large cool air ducts, air handlers, and c...
Melitta filter system Overview Filter_basket > Overview Both bleached and unbleached filters are made.Typically, coffee filters are made up of filaments approximately 20 micrometres wide, which allow particles through that are less than approximately 10 to 15 micrometres.Some baristas claim that paper filters exhibit a...
Stack machines Temporary / local values Zero_address_arithmetic > Comparison with register machines > Temporary / local values Some in the industry believe that stack machines execute more data cache cycles for temporary values and local variables than do register machines.On stack machines, temporary values often get ...
Kernel thread M:N (hybrid threading) Thread_management > Scheduling > Threading models > M:N (hybrid threading) M:N maps some M number of application threads onto some N number of kernel entities, or "virtual processors." This is a compromise between kernel-level ("1:1") and user-level ("N:1") threading. In general, "M...
Seidel triangle Sum of powers Generalized_Bernoulli_numbers > Applications of the Bernoulli numbers > Sum of powers {\displaystyle S_{m}(n)={\frac {1}{m+1}}\sum _{k=0}^{m}(-1)^{k}{\binom {m+1}{k}}B_{k}^{-{}}n^{m+1-k}.} Bernoulli's formula is sometimes called Faulhaber's formula after Johann Faulhaber who also found rem...
Geometric camera calibration Extrinsic parameters Geometric_camera_calibration > Formulation > Extrinsic parameters When a camera is used, light from the environment is focused on an image plane and captured. This process reduces the dimensions of the data taken in by the camera from three to two (light from a 3D scene...
Motor drive (photography) Summary Motor_drive_(photography) A motor drive, in the field of photography, is a powered film transport mechanism. Historically, film loading, advancing, and rewinding were all manually driven functions.The desires of professional photographers for more efficient shooting, particularly in sp...
Artificial powered exoskeleton Classification Powered_exoskeleton > Classification The active class comprises exoskeletons that give “active” aid to the user; in other words, these exoskeletons perform the movements without the need for the user to apply energy. The energy needed to perform the movement is supplied by ...
Thermometric titration Thermometric titrations Thermometric_titration > Thermometric titrations Where reaction kinetics are slow, and direct titrations between titrant and titrand are not possible, indirect or back-titrations often can be devised to solve the problem. Catalytically enhanced endpoints can be used in som...
Cervical segments Motor organization Cervical_segments > Function > Motor organization The DL neurons are involved in distal limb control. Therefore, these DL neurons are found specifically only in the cervical and lumbosacral enlargements within the spinal cord. There is no decussation in the lateral corticospinal tra...
Small nuclear RNA In the spliceosome Small_nuclear_RNA > In the spliceosome Spliceosomes catalyse splicing, an integral step in eukaryotic precursor messenger RNA maturation. A splicing mistake in even a single nucleotide can be devastating to the cell, and a reliable, repeatable method of RNA processing is necessary t...
What-if analysis One-at-a-time (OAT) What-if_analysis > Sensitivity analysis methods > One-at-a-time (OAT) This increases the comparability of the results (all 'effects' are computed with reference to the same central point in space) and minimizes the chances of computer program crashes, more likely when several input ...
Political demography Youth bulges Political_demography > Age structure and politics > Youth bulges A second avenue of inquiry considers age structures: be these 'youth bulges' or aging populations. Young populations are associated with a ratio of dependents to producers: a high proportion of the population under age 16...
Matrix decomposition QZ decomposition Matrix_factorization > Decompositions based on eigenvalues and related concepts > QZ decomposition Decomposition (real version): A = Q S Z T {\displaystyle A=QSZ^{\mathsf {T}}} and B = Q T Z T {\displaystyle B=QTZ^{\mathsf {T}}} where A, B, Q, Z, S, and T are matrices containing re...
Infinite dimensional Lebesgue measure Summary Infinite-dimensional_Lebesgue_measure Alternatively, one may consider Lebesgue measure on finite-dimensional subspaces of the larger space and consider so-called prevalent and shy sets. The Hilbert cube carries the product Lebesgue measure, and the compact topological group...