moment

Dams may be classified according to structure, intended purpose or height. Based on structure and material used, dams are classified as timber dams, embankment dams or masonry dams, with several subtypes. Intended purposes include providing water for irrigation or town or city water supply, improving navigation, creating a reservoir of water to supply industrial uses, generating hydroelectric power, creating recreation areas or habitat for fish and wildlife, flood control and containing effluent from industrial sites such as mines or factories. Few dams serve all of these purposes but some mu ...

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Dam, Dam - History, Dam - Types of dams, Dam - Diversionary dams, Dam - Timber dams, Dam - Embankment dams, Dam - Masonry dams, Dam - Cofferdams, Dam - Spillways, Dam - Other considerations, Dam - Environmental impacts, Dam - Stream flow, Dam - Barrier to migration, Dam - Water quality impacts, Dam - Examples of dams, Dam - Failed dams, Dam - Notes

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If the integer n is partitioned into a sum in which "1" appears j1 times, "2" appears j2 times, and so on, then the number of partitions of a set of size n that collapse to that partition of the integer n when the members of the set become indistinguishable is the corresponding coefficient in the polynomial. Bell polynomials - Examples. For example, we have because there are 6 ways to partition of set of 6 as 5+1, 15 ways to partition of set of 6 as 4+2, a ...

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Bell polynomials, Bell polynomials - Definition, Bell polynomials - Convolution identity, Bell polynomials - Complete Bell polynomials, Bell polynomials - Combinatorial meaning, Bell polynomials - Examples, Bell polynomials - Stirling numbers and Bell numbers, Bell polynomials - Where do Bell polynomials occur?, Bell polynomials - Composition of formal power series and Fàa di Bruno's formula, Bell polynomials - Moments and cumulants, Bell polynomials - Representation of polynomial sequences of binomial type

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Cumulant - Invariance and equivariance. The first cumulant is shift-equivariant; all of the others are shift-invariant. To state this less tersely, denote by κn(X) the nth cumulant of the probability distribution of the random variable X. The statement is that if c is constant then κ1(X + c) = κ1(X) + c and κn(X + c) = κn(X) for n ≥ 2, i.e., c is added to th ...

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Cumulant, Cumulant - Cumulants of probability distributions, Cumulant - Some properties of cumulants, Cumulant - Invariance and equivariance, Cumulant - Homogeneity, Cumulant - Additivity, Cumulant - Cumulants and moments, Cumulant - Cumulants and set-partitions, Cumulant - Cumulants of particular probability distributions, Cumulant - Joint cumulants, Cumulant - Conditional cumulants and the law of total cumulance, Cumulant - History, Cumulant - Formal cumulants, Cumulant - One well-known example, Cumulant - Cumulants of a polynomial sequence of binomial type, Cumulant - Free cumulants, Cumulant - External references

Read more here: » Cumulant: Encyclopedia II - Cumulant - Some properties of cumulants

Tree-of-Life is a bush whose smell is unnoticeable to breeders until they reach about 25 Pak years (or 42 human years); after that, the smell suddenly becomes irresistible. The breeder eats the root, infecting himself with a symbiotic virus in the root and triggering the transition. After consuming Tree-of-Life, Pak breeder forms (such as humans) turn into the Pak Protector form, which involves reconfiguration of the anatomy, including the acquisition of a leathery armor or exoskeleton, strong enough to turn a copper knife. Joints swe ...

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Pak Protector, Pak Protector - The Pak species, Pak Protector - Tree Of Life, Pak Protector - Protector behaviour, Pak Protector - The Pak and Humanity, Pak Protector - Narrative purpose

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The first trimarans were built by indigenous Polynesians almost 4,000 years ago, and much of the current terminology is inherited from them. Multihull sailboats (catamarans and trimarans) gained favor during the 1960s and 1970s. Modern recreational trimarans are rooted in the same homebuilt tradition as other multihulls, though there are a number of production models now on the market, such as the folding, trailerable trimarans from Corsair Marine[1], Quorning Boats[2], Performance C ...

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Trimaran, Trimaran - History, Trimaran - Construction, Trimaran - Safety, Trimaran - World Record, Trimaran - Other Types

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We can extend the same two concepts of simulating and whitening to the case of continuous time random signals or processes. For simulating, we create a filter into which we feed a white noise signal. We choose the filter so that the output signal simulates the 1st and 2nd moments of any arbitrary random process. For whitening, we feed any arbitrary random signal into a specially chosen filter so that the output of the filter is a white noise signal. Whi ...

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White noise, White noise - Statistical properties, White noise - Colors of noise, White noise - Applications, White noise - Mathematical definition, White noise - White random vector, White noise - White random process white noise, White noise - Random vector transformations, White noise - Simulating a random vector, White noise - Whitening a random vector, White noise - Random signal transformations, White noise - Simulating a continuous-time random signal, White noise - Whitening a continuous-time random signal

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An aeroplane can be made to stall in any pitch attitude or bank angle or at any airspeed but is commonly practised by reducing the speed to the stall speed, at a safe altitude. Stall speed varies on different airplanes and is represented by color codes on the air speed indicator. As the plane flies at this speed the angle of attack must be increased to prevent any loss of altitude or gain in airspeed (which corresponds to the stall angle described above). The pilot will notice the flight controls have become less responsive and may also notice some buffeting, an aerodynamic vibrat ...

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Stall flight, Stall flight - Rigorous definition, Stall flight - Graph, Stall flight - Aerodynamic description of a stall

Read more here: » Stall flight: Encyclopedia II - Stall flight - Aerodynamic description of a stall

Individual medley consists of a single swimmer swimming equal distances of four different strokes within one race. Medley swimming - Stroke Order. Individual Medley consists of four strokes. Usually each stroke has an equal part of the overall distance, i.e. 1/4th of the overall distance is swum in one stroke. The strokes are swum in this order: Butterfly Backstroke Breaststroke Freestyle, with the limitation that freestyle means any style other than backstroke, breaststroke or butterfly. ...

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Medley swimming, Medley swimming - Individual Medley, Medley swimming - Stroke Order, Medley swimming - Competitions, Medley swimming - Technique, Medley swimming - Medley Relay, Medley swimming - Stroke Order, Medley swimming - Competitions, Medley swimming - Technique, Medley swimming - Rules, Medley swimming - Current world records, Medley swimming - Long course swim pools, Medley swimming - Short course swim pools, Medley swimming - External link

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We can extend the same two concepts of simulating and whitening to the case of continuous time random signals or processes. For simulating, we create a filter into which we feed a white noise signal. We choose the filter so that the output signal simulates the 1st and 2nd moments of any arbitrary random process. For whitening, we feed any arbitrary random signal into a specially chosen filter so that the output of the filter is a white noise signal. Whi ...

See also:

White noise, White noise - Statistical properties, White noise - Colors of noise, White noise - Applications, White noise - Mathematical definition, White noise - White random vector, White noise - White random process white noise, White noise - Random vector transformations, White noise - Simulating a random vector, White noise - Whitening a random vector, White noise - Random signal transformations, White noise - Simulating a continuous-time random signal, White noise - Whitening a continuous-time random signal, White noise - External link

Read more here: » White noise: Encyclopedia II - White noise - Random signal transformations

The Bell numbers can easily be calculated by creating the so-called Bell triangle, also called Aitken's array or the Peirce triangle: Start with the number one. Put this on a row by itself. Start a new row with the rightmost element from the previous row as the leftmost number Determine the numbers not on the left column by taking the sum of the number to the left and the number above the number to the left (the number diagonally up and left of the number we are calculating) Repeat ...

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Bell number, Bell number - Partitions of a set, Bell number - Another view of Bell numbers, Bell number - Properties of Bell numbers, Bell number - Triangle scheme for calculating Bell numbers

Read more here: » Bell number: Encyclopedia II - Bell number - Triangle scheme for calculating Bell numbers

Beam bending is analyzed with the Euler-Bernoulli beam equation. The classic formula for determining the bending stress in a member is: σ is the bending stress M - the moment at the neutral axis y - the perpendicular distance to the neutral axis Ix - the second moment of inertia about the neutral axis x This equation is valid only when the stress at the extreme fiber (i.e. the portion of the beam furthest from th ...

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Bending, Bending - Stress in a beam

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The theorem most often called the central limit theorem is the following. Let X1, X2, X3, ... be a sequence of random variables which are defined on the same probability space, share the same probability distribution D and are independent. Assume that both the expected value μ and the standard deviation σ of D exist and are finite. Consider the sum :Sn = X1 + ... + XnSee also:

Central limit theorem, Central limit theorem - Classical central limit theorem, Central limit theorem - Proof of the central limit theorem, Central limit theorem - Convergence to the limit, Central limit theorem - Alternative statements of the theorem, Central limit theorem - Lyapunov condition, Central limit theorem - Lindeberg condition, Central limit theorem - Non-independent case

Read more here: » Central limit theorem: Encyclopedia II - Central limit theorem - Classical central limit theorem

Dams may be classified according to structure, intended purpose or height. Based on structure and material used, dams are classified as timber dams, embankment dams or masonry dams, with several subtypes. Intended purposes include providing water for irrigation or town or city water supply, improving navigation, generating hydroelectric power, creating recreation areas or habitat for fish and wildlife, flood control and containing effluent from industrial sites such as mines or factories. Few dams serve all of these purposes but some mu ...

See also:

Dam, Dam - Types of dams, Dam - Diversionary dams, Dam - Timber dams, Dam - Embankment dams, Dam - Masonry dams, Dam - Cofferdams, Dam - Spillways, Dam - Other considerations, Dam - Environmental impacts, Dam - Stream flow, Dam - Barrier to migration, Dam - Water quality impacts, Dam - Examples of dams, Dam - Failed dams

Read more here: » Dam: Encyclopedia II - Dam - Types of dams

If a force is allowed to act through a distance, it is doing mechanical work. Similarly, if torque is allowed to act through a rotational distance, it is doing work. Power is the work per unit time. However, time and rotational distance are related by the angular speed where each revolution results in the circumference of the circle being travelled by the force that is generating the torque. This means that torque that is causing the angular speed to increase is doing work an ...

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Torque, Torque - Units, Torque - Special cases and other facts, Torque - Moment arm formula, Torque - Force at an angle, Torque - Static equilibrium, Torque - Torque as a function of time, Torque - Machine torque, Torque - Relationship between torque and power, Torque - Conversion to other units, Torque - Derivation

Read more here: » Torque: Encyclopedia II - Torque - Relationship between torque and power

Large numbers of earthquakes occur on a daily basis on Earth, but the majority of them are detected only by seismometers and cause no damage (magnitude 5). Most earthquakes occur in narrow regions around plate boundaries down to depths of a few tens of kilometres where the crust is rigid enough to support the elastic strain. Where the crust is thicker and colder they will occur at greater depths and the opposite in areas that are hot. At subduction zones where plates descend into the mantle earthquakes have been recorded to a depth of ...

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Earthquake, Earthquake - Characteristics, Earthquake - Earthquake Size, Earthquake - Causes, Earthquake - Preparation for earthquakes, Earthquake - Specific fault articles, Earthquake - Specific earthquake articles

Read more here: » Earthquake: Encyclopedia II - Earthquake - Characteristics

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Torque is part of the basic specification of an engine: the power output of an engine is expressed as its torque multiplied by its rotational speed. Internal-combustion engines produce useful torque only over a limited range of rotational speeds (typically from around 1,000–6,000 rpm for a small car). The varying torque output over that range can be measured with a dynamometer, and shown as a torque curve. The peak of that torque curve usually occurs somewhat below the overall power peak. The torque peak cannot, by definition, ...

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Torque, Torque - Units, Torque - Special cases and other facts, Torque - Moment arm formula, Torque - Force at an angle, Torque - Static equilibrium, Torque - Torque as a function of time, Torque - Machine torque, Torque - Relationship between torque and power, Torque - Conversion to other units, Torque - Derivation

Read more here: » Torque: Encyclopedia II - Torque - Machine torque

(Source: Canadian Geographic) More than half of the world’s large rivers have been dammed, regulating and flooding approximately 400,000 square kilometres of land worldwide. These diversions have an effect on diverse ecosystems and habitats around the globe, replacing them with uniform structures and reservoirs and ultimately changing the way otherwise balanced, stable ecosystems function.

Dam, Dam - History, Dam - Types of dams, Dam - Diversionary dams, Dam - Timber dams, Dam - Embankment dams, Dam - Masonry dams, Dam - Cofferdams, Dam - Spillways, Dam - Other considerations, Dam - Environmental impacts, Dam - Stream flow, Dam - Barrier to migration, Dam - Water quality impacts, Dam - Examples of dams, Dam - Failed dams, Dam - Notes

Read more here: » Dam: Encyclopedia II - Dam - Environmental impacts

In probability theory and statistics, the cumulants κn of the probability distribution of a random variable X are given by In other words, κn/n! is the nth coefficient in the power series representation of the logarithm of the moment-generating function. The logarithm of the moment-generating function is therefore called the cumulant-generating function. In case some of the moments of the probability distribution of the random variable X ...

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Cumulant, Cumulant - Cumulants of probability distributions, Cumulant - Some properties of cumulants, Cumulant - Invariance and equivariance, Cumulant - Homogeneity, Cumulant - Additivity, Cumulant - Cumulants and moments, Cumulant - Cumulants and set-partitions, Cumulant - Cumulants of particular probability distributions, Cumulant - Joint cumulants, Cumulant - Conditional cumulants and the law of total cumulance, Cumulant - History, Cumulant - Formal cumulants, Cumulant - One well-known example, Cumulant - Cumulants of a polynomial sequence of binomial type, Cumulant - Free cumulants, Cumulant - External references

Read more here: » Cumulant: Encyclopedia II - Cumulant - Cumulants of probability distributions

Dam - Failed dams. South Fork Dam - 1889 St. Francis Dam, Los Angeles, California - 1928 Malpasset, Côte d'Azur, France - 1959 Vajont Dam - 1961 Baldwin Hills Dam - 1963 Buffalo Creek Flood - 1972 Banqiao and Shimantan Dams - 1975 Teton Dam - 1976 Kelly Barnes Dam - 1977 Lawn Lake Dam - 1982 Val di Stava Dam Collapse - 1985 Opuha Dam - 1997 Big Bay Dam, Mississippi - 2004 Camará Dam - 2004< ...

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Dam, Dam - History, Dam - Types of dams, Dam - Diversionary dams, Dam - Timber dams, Dam - Embankment dams, Dam - Masonry dams, Dam - Cofferdams, Dam - Spillways, Dam - Other considerations, Dam - Environmental impacts, Dam - Stream flow, Dam - Barrier to migration, Dam - Water quality impacts, Dam - Examples of dams, Dam - Failed dams, Dam - Notes

Read more here: » Dam: Encyclopedia II - Dam - Examples of dams