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Half Time (physics)
Half time is the time taken by a quantity to reach one half of its extremal value, where the rate of change is proportional to the difference between the present value and the extremal value (i.e. in exponential decay processes). It is synonymous with half-life, but used in slightly different contexts. The diagram shows the increase in the quantity (red) in response to a step-change in the motive force that changes it (blue). The time-axis is in multiples of the half time. It can be seen that the quantity increases to one-half of its final value after one half time, to three-quarters after two half times, to seven-eighths after three half times, and so on. The relationship between the quantity (''Q'') and time (''t'') is described by the mathematical formula: : Q(t) = Q_\mathrm(1 - e^) where ''Q''f is the extremal value and ''λ'' is a constant, approximately equal to 0.69 divided by the half time – more precisely: ln (2) / (half time). Where the quantity decreases i ...
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Half Times
One half is the multiplicative inverse of 2. It is an irreducible fraction with a numerator of 1 and a denominator of 2. It often appears in mathematical equations, recipes and measurements. As a word One half is one of the few fractions which are commonly expressed in natural languages by suppletion rather than regular derivation. In English, for example, compare the compound "one half" with other regular formations like "one-sixth". A ''half'' can also be said to be one part of something divided into two equal parts. It is acceptable to write one half as a hyphenated word, ''one-half''. Mathematics One half is the rational number that lies midway between 0 and 1 on the number line. Multiplication by one half is equivalent to division by two, or "halving"; conversely, division by one half is equivalent to multiplication by two, or "doubling". A number raised to the power of one half is equal to its square root. The area of a triangle is one half its base and ...
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Capacitor
In electrical engineering, a capacitor is a device that stores electrical energy by accumulating electric charges on two closely spaced surfaces that are insulated from each other. The capacitor was originally known as the condenser, a term still encountered in a few compound names, such as the '' condenser microphone''. It is a passive electronic component with two terminals. The utility of a capacitor depends on its capacitance. While some capacitance exists between any two electrical conductors in proximity in a circuit, a capacitor is a component designed specifically to add capacitance to some part of the circuit. The physical form and construction of practical capacitors vary widely and many types of capacitor are in common use. Most capacitors contain at least two electrical conductors, often in the form of metallic plates or surfaces separated by a dielectric medium. A conductor may be a foil, thin film, sintered bead of metal, or an electrolyte. The nonconductin ...
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Dive Tables
Diving most often refers to: * Diving (sport), the sport of jumping into deep water * Underwater diving, human activity underwater for recreational or occupational purposes Diving or Dive may also refer to: Sports * Dive (American football), a type of play in American football * Diving (association football), a simulation of being fouled * Diving (ice hockey), embellishing an infraction in an attempt to draw a penalty * Sport diving (sport), competitive scuba diving using recreational techniques in a swimming pool * Taking a dive, or match fixing, intentionally losing a match, especially in boxing Film and television Film * ''Dive'' (1929 film), a German silent film * ''The Dive'' (1990 film), a Norwegian action thriller * ''Dive!'' (film), a 2010 documentary film by Jeremy Sefert * ''Dive'', a 2014 New Zealand short film written and directed by Matthew J. Saville * ''The Dive'' (2018 film), an Israeli film * ''Dive'' (2023 film), a Mexican sports drama film * ''Th ...
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Half-life
Half-life is a mathematical and scientific description of exponential or gradual decay. Half-life, half life or halflife may also refer to: Film * Half-Life (film), ''Half-Life'' (film), a 2008 independent film by Jennifer Phang * ''Half Life: A Parable for the Nuclear Age'', a 1985 Australian documentary film Literature * Half Life (Jackson novel), ''Half Life'' (Jackson novel), a 2006 novel by Shelley Jackson * Half-Life (Krach novel), ''Half-Life'' (Krach novel), a 2004 novel by Aaron Krach * Halflife (Michalowski novel), ''Halflife'' (Michalowski novel), a 2004 novel by Mark Michalowski * ''Rozpad połowiczny'' (), a 1988 award-winning dystopia novel by Edmund Wnuk-Lipiński Music *Half Life (3 album), ''Half Life'' (3 album) (2001) *Halflife (EP), ''Halflife'' (EP), an EP by Lacuna Coil and the title track *''Half-Life E.P.'', an EP by Local H * "Half Life", a song by 10 Years from ''The Autumn Effect'' * "Half Life", a song by Come from ''Near-Life Experience'' * "Ha ...
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Bühlmann Tables
Bühlmann is a surname. Notable people with the surname include: * Albert A. Bühlmann (1923–1994), Swiss physician at the Laboratory of Hyperbaric Physiology at the University Hospital, Zürich, Switzerland *Claudia Bühlmann, Swiss bobsledder who competed in the mid-1990s *Gabriele Bühlmann (born 1964), Swiss rifle shooter who competed at five Olympic Games from 1988 to 2004 *Paul Bühlmann (1927–2000), Swiss actor *Peter Bühlmann (born 1965), Swiss mathematician and statistician See also *Bühlmann decompression algorithm, mathematical model of the way that inert gases enter and leave the body as pressure changes *Bühlmann model In credibility theory, a branch of study in actuarial science, the Bühlmann model is a random effects model (or "variance components model" or hierarchical linear model) used to determine the appropriate premium for a group of insurance cont ...
, random effects model used in credibility theory in actuarial science to determine the ins ...
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John Scott Haldane
John Scott Haldane (; 2 May 1860 – 14/15 March 1936) was a Scottish physician physiologist and philosopher famous for intrepid self-experimentation which led to many important discoveries about the human body and the nature of gases. He also experimented on his son, the celebrated and polymathic biologist J. B. S. Haldane, even when he was quite young. Haldane locked himself in sealed chambers breathing potentially lethal cocktails of gases while recording their effect on his mind and body. Haldane visited the scenes of many mining disasters and investigated their causes. When the Germans used poison gas in World War I, Haldane went to the front at the request of Lord Kitchener and attempted to identify the gases being used. One outcome of this was his invention of a respirator, known as the black veil. Haldane's investigations into decompression sickness resulted in the concept of staged decompression, and the first reasonably reliable decompression tables, and his m ...
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Time Constant
In physics and engineering, the time constant, usually denoted by the Greek language, Greek letter (tau), is the parameter characterizing the response to a step input of a first-order, LTI system theory, linear time-invariant (LTI) system.Concretely, a first-order LTI system is a system that can be modeled by a single Ordinary differential equation, first order differential equation in time. Examples include the simplest single-stage electrical RC circuit#Series circuit, RC circuits and RL circuit#Series circuit, RL circuits. The time constant is the main characteristic unit of a first-order LTI system. It gives speed of the response. In the time domain, the usual choice to explore the time response is through the step response to a Heaviside step function, step input, or the impulse response to a Dirac delta function input. In the frequency domain (for example, looking at the Fourier transform of the step response, or using an input that is a simple sinusoidal function of time) ...
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Resistor
A resistor is a passive two-terminal electronic component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses. High-power resistors that can dissipate many watts of electrical power as heat may be used as part of motor controls, in power distribution systems, or as test loads for generators. Fixed resistors have resistances that only change slightly with temperature, time or operating voltage. Variable resistors can be used to adjust circuit elements (such as a volume control or a lamp dimmer), or as sensing devices for heat, light, humidity, force, or chemical activity. Resistors are common elements of electrical networks and electronic circuits and are ubiquitous in electronic equipment. Practical resistors as discrete components can be composed of various compounds and forms. Resisto ...
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RC Charging
RC, R/C, Rc, or rc may refer to: Science and technology Computing * rc, the default Command line interface in Version 10 Unix and Plan 9 from Bell Labs * .rc (for "run commands"), a filename extension for configuration files in UNIX-like environments * rc, a file extension and compiler for Microsoft Windows resource scripts * Reconfigurable computing, a computer architecture * Release Candidate, a term used in software engineering * Return code, used to identify errors or other aspects of software behavior * ''RigidChips'', a rigid body simulator program * " Rivest's Cipher", a term used in cryptographic algorithms * RoundCube, a web-based IMAP e-mail client *RealityCapture, a photogrammetry software Electronics * RC circuit, resistance/capacitance circuit, a term used in electronics * Radio control, a technology found in remote control vehicles * Reflection coefficient of a circuit * Remote control, a technology found in home entertainment devices Other uses in science an ...
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Exponential Decay
A quantity is subject to exponential decay if it decreases at a rate proportional to its current value. Symbolically, this process can be expressed by the following differential equation, where is the quantity and (lambda Lambda (; uppercase , lowercase ; , ''lám(b)da'') is the eleventh letter of the Greek alphabet, representing the voiced alveolar lateral approximant . In the system of Greek numerals, lambda has a value of 30. Lambda is derived from the Phoen ...) is a positive rate called the exponential decay constant, disintegration constant, rate constant, or transformation constant: :\frac = -\lambda N(t). The solution to this equation (see #Solution_of_the_differential_equation, derivation below) is: :N(t) = N_0 e^, where is the quantity at time , is the initial quantity, that is, the quantity at time . Measuring rates of decay Mean lifetime If the decaying quantity, ''N''(''t''), is the number of discrete elements in a certain set (mathematics), se ...
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Decompression Sickness
Decompression sickness (DCS; also called divers' disease, the bends, aerobullosis, and caisson disease) is a medical condition caused by dissolved gases emerging from Solution (chemistry), solution as bubbles inside the body tissues during Decompression (diving), decompression. DCS most commonly occurs during or soon after a decompression ascent from underwater diving, but can also result from other causes of depressurisation, such as emerging from a Caisson (engineering), caisson, decompression from Saturation diving, saturation, flying in an Cabin pressurization, unpressurised aircraft at high altitude, and extravehicular activity from spacecraft. DCS and Air embolism, arterial gas embolism are collectively referred to as decompression illness. Since bubbles can form in or migrate to any part of the body, DCS can produce many symptoms, and its effects may vary from joint pain and rashes to paralysis and death. DCS often causes air bubbles to settle in major joints like knee ...
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Nitrogen
Nitrogen is a chemical element; it has Symbol (chemistry), symbol N and atomic number 7. Nitrogen is a Nonmetal (chemistry), nonmetal and the lightest member of pnictogen, group 15 of the periodic table, often called the Pnictogen, pnictogens. It is a common element in the universe, estimated at Abundance of the chemical elements, seventh in total abundance in the Milky Way and the Solar System. At standard temperature and pressure, two atoms of the element chemical bond, bond to form N2, a colourless and odourless diatomic molecule, diatomic gas. N2 forms about 78% of Atmosphere of Earth, Earth's atmosphere, making it the most abundant chemical species in air. Because of the volatility of nitrogen compounds, nitrogen is relatively rare in the solid parts of the Earth. It was first discovered and isolated by Scottish physician Daniel Rutherford in 1772 and independently by Carl Wilhelm Scheele and Henry Cavendish at about the same time. The name was suggested by French chemist ...
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