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Knee of a curve information


Explained variance. The "elbow" is indicated by the red circle. The number of clusters chosen should therefore be 4.
Photovoltaic solar cell I-V curves where a line intersects the knee of the curves where the maximum power transfer point is located.

In mathematics, a knee of a curve (or elbow of a curve) is a point where the curve visibly bends, specifically from high slope to low slope (flat or close to flat), or in the other direction. This is particularly used in optimization, where a knee point is the optimum point for some decision, for example when there is an increasing function and a trade-off between the benefit (vertical y axis) and the cost (horizontal x axis): the knee is where the benefit is no longer increasing rapidly, and is no longer worth the cost of further increases – a cutoff point of diminishing returns.

In heuristic use, the term may be used informally, and a knee point identified visually, but in more formal use an explicit objective function is used, and depends on the particular optimization problem. A knee may also be defined purely geometrically, in terms of the curvature or the second derivative.

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Knee of a curve

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In mathematics, a knee of a curve (or elbow of a curve) is a point where the curve visibly bends, specifically from high slope to low slope (flat or close...

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The Singularity Is Near

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deceptive, nearly flat at first until it hits what Kurzweil calls "the knee in the curve" then rises almost vertically. In fact Kurzweil believes evolutionary...

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Maximum power point tracking

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(where dP/dV=0) and corresponds to the "knee" of the curve. A load with resistance R=V/I equal to the reciprocal of this value draws the maximum power from...

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Knee

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In humans and other primates, the knee joins the thigh with the leg and consists of two joints: one between the femur and tibia (tibiofemoral joint),...

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Corpus callosum

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roof of each lateral ventricle. The front part of the corpus callosum, towards the frontal lobes, is called the genu ("knee"). The genu curves downward...

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Frontbend

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A frontbend is a contortion position where the body is curved forward at the hips and spine. In an extreme frontbend, some contortionists can place the...

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Heaviside condition

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Heaviside condition is satisfied where the blue curve touches or crosses a red curve. The knee of the blue curve occurs at the frequency where R ω = ω L ω {\displaystyle...

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Fosbury flop

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run in a curve, allowing the athlete to lean in to the turn, away from the bar. This allows the center of gravity to be lowered even before knee flexion...

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Amputation

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referred to as a below-knee amputation knee disarticulation amputation of the lower limb at the knee joint trans-femoral amputation amputation of the lower...

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Khushtar

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instrument is played upright on the knee, with the curved attachment on the end of the body resting on the knee itself. Setar Tembor The Stringed Instrument...

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Ogee

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or curve—often seen in architecture and building trades—that has a serpentine- or extended S-shape (sigmoid).: 218  Ogees consist of a "double curve",...

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Globular cluster

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containing stars of a wide variety of ages. Almost all stars fall on a well-defined curve in globular cluster H–R diagrams, and that curve's shape indicates...

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Goniometer

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Ockendon, Matthew (2012). "Validation of a novel smartphone accelerometer-based knee goniometer". The Journal of Knee Surgery. 25 (4): 341–345. doi:10.1055/s-0031-1299669...

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Glossary of climbing terms

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of cord but has plenty of webbing. knee bar Wedging a knee against a hold in such a way as to allow the other limbs to be released and rested. knee drop...

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Color coding in data visualization

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determination of the (calculated color-difference) location of the knee of the curve for two-degree visual subtense and for smaller subtenses. A general societal...

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ability to heal abused and damaged horses after a tragic accident that led to significant changes in the lives of the characters. Heartland airs in Canada on...

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Genu varum

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femur are curved outwards; and, if the limbs are extended, although the ankles are in contact, there is a distinct space between the knee-joints. During...

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List of human anatomical features

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(female) Leg Thigh Knee Kneecap Calf Ankle Foot Toes Buttocks Anus Development of the joints Classification of joints The kind of movement admitted in...

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Type 89 grenade discharger

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colloquially known as a knee mortar by Allied forces, is a Japanese grenade launcher or light mortar that was widely used in the Pacific Theater of World War II...

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Tibia

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of the two bones in the leg below the knee in vertebrates (the other being the fibula, behind and to the outside of the tibia); it connects the knee with...

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Muay Thai

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discipline is known as the "Art of eight limbs", as it is characterised by the combined use of fists, elbows, knees and shins. Muay Thai became widespread...

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Lateral epicondyle of the femur

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below it is a small depression from which a smooth well-marked groove curves obliquely upward and backward to the posterior extremity of the condyle....

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