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searching for Points on the Curve 62 found (80 total)

Line integral (3,090 words) [view diff] case mismatch in snippet view article find links to article

value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length

Tangent (4,078 words) [view diff] case mismatch in snippet view article find links to article

Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is tangent to the curve y = f(x)

Productive efficiency (680 words) [view diff] case mismatch in snippet view article find links to article

illustrated on a production possibility frontier (PPF), where all points on the curve are points of productive efficiency. An equilibrium may be productively

Counting points on elliptic curves (2,454 words) [view diff] case mismatch in snippet view article find links to article

study of elliptic curves is devising effective ways of counting points on the curve. There have been several approaches to do so, and the algorithms

Osculating circle (3,358 words) [view diff] case mismatch in snippet view article find links to article

defined as the circle passing through p and a pair of additional points on the curve infinitesimally close to p. Its center lies on the inner normal line

Algebraic cycle (1,472 words) [view diff] case mismatch in snippet view article find links to article

Divisors on algebraic curves are formal linear combinations of points on the curve. Classical work on algebraic curves related these to intrinsic data

Elliptic curve only hash (1,846 words) [view diff] case mismatch in snippet view article find links to article

elliptic curve B-283 with approximately 2 283 {\displaystyle 2^{283}} points on the curve. We choose K = 2 142 {\displaystyle K=2^{142}} and get an attack

Tim Garland (656 words) [view diff] exact match in snippet view article find links to article

and classical composition. In 1988 he recorded his first album, Points on the Curve. As a bandleader, he first achieved recognition with the jazz/folk

Catalogue of Triangle Cubics (349 words) [view diff] case mismatch in snippet view article find links to article

curve A list of triangle centers which lie on the curve Special points on the curve which are not triangle centers Geometric properties of the curve

Convex function (5,850 words) [view diff] case mismatch in snippet view article find links to article

this condition requires that the straight line between any pair of points on the curve of f {\displaystyle f} to be above or just meets the graph. For all

List of compositions by Luciano Berio (2,053 words) [view diff] case mismatch in snippet view article find links to article

Bruno Maderna for mezzo-soprano and twenty-two instruments (1974) "points on the curve to find..." for piano and twenty-two instruments (1974); reworked

Utility–possibility frontier (733 words) [view diff] case mismatch in snippet view article find links to article

consumers given an economies' endowment and technology. This means that points on the curve are, by definition, Pareto efficient, which are represented by E

Birch and Swinnerton-Dyer conjecture (2,946 words) [view diff] case mismatch in snippet view article find links to article

for any elliptic curve there is a finite subset of the rational points on the curve, from which all further rational points may be generated. If the

Hasse's theorem on elliptic curves (580 words) [view diff] case mismatch in snippet view article find links to article

number of points on a curve over a finite field. If the number of points on the curve C of genus g over the finite field F q {\displaystyle \mathbb {F}

Production–possibility frontier (2,982 words) [view diff] case mismatch in snippet view article find links to article

if an equal mix of butter and guns is required. In the PPF, all points on the curve are points of maximum productive efficiency (no more output of any

Ellipse (15,646 words) [view diff] case mismatch in snippet view article find links to article

is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

Rank of an elliptic curve (2,772 words) [view diff] case mismatch in snippet view article find links to article

for any elliptic curve there is a finite subset of the rational points on the curve, from which all further rational points may be generated. If the

Smith–Volterra–Cantor set (952 words) [view diff] case mismatch in snippet view article find links to article

is possible to find an Osgood curve, a Jordan curve such that the points on the curve have positive area. The Smith–Volterra–Cantor set is used in the

Singular point of a curve (1,891 words) [view diff] case mismatch in snippet view article find links to article

partial derivatives of f is non-zero. The singular points are those points on the curve where both partial derivatives vanish, f ( x , y ) = ∂ f ∂ x = ∂

Parallel transport (1,859 words) [view diff] case mismatch in snippet view article find links to article

then the distance, induced by the metric, between two close enough points on the curve γ, say γ(t1) and γ(t2), is given by dist ( γ ( t 1 ) , γ ( t 2 )

Quasicircle (2,366 words) [view diff] case mismatch in snippet view article find links to article

quasicircle. There is a constant C > 0 such that if z1, z2 are any points on the curve and z3 lies on the segment between them, then | z 3 − z 1 + z 2 2

Rankine's method (285 words) [view diff] case mismatch in snippet view article find links to article

line/path of communication or start of a curve, then successive points on the curve can be obtained by drawing an arbitrary line of length C i {\displaystyle

Quartic plane curve (1,377 words) [view diff] case mismatch in snippet view article find links to article

{t^{2}-2t+5}{t^{2}-2t-3}},\quad y={\frac {t^{2}-2t+5}{2t-2}}} parametrizes the points on the curve outside of the exceptional cases where a denominator is zero. The

Elliptic curve (8,192 words) [view diff] case mismatch in snippet view article find links to article

and thus represents the same projective point. If P and Q are two points on the curve, then we can uniquely describe a third point P + Q in the following

Van der Waals equation (12,445 words) [view diff] case mismatch in snippet view article find links to article

and material equilibrium together with the equation specify two points on the curve, ( T s , v f ) {\displaystyle (T_{s},v_{f})} , and ( T s , v g )

Heegner point (617 words) [view diff] case mismatch in snippet view article find links to article

(1987) showed that Heegner points could be used to construct rational points on the curve for each positive integer n, and the heights of these points were

Parametric equation (2,885 words) [view diff] case mismatch in snippet view article find links to article

representations. Implicit representations may make it difficult to generate points on the curve, and even to decide whether there are real points. On the other hand

Feuerbach hyperbola (736 words) [view diff] case mismatch in snippet view article find links to article

Like other rectangular hyperbolas, the orthocenter of any three points on the curve lies on the hyperbola. So, the orthocenter of the triangle A B C

Hyperbolic coordinates (1,255 words) [view diff] case mismatch in snippet view article find links to article

(1,1) where it is opposite the origin in a unit square. The other points on the curve can be viewed as rectangles having the same area as this square.

Schoenflies problem (4,226 words) [view diff] case mismatch in snippet view article find links to article

So dividing the circle up into small enough intervals, there are points on the curve such that the line segments joining adjacent points lie close to

Randomized Hough transform (1,038 words) [view diff] case mismatch in snippet view article find links to article

analytical curves can be fully determined by a certain number of points on the curve. For example, a straight line can be determined by two points, and

Superellipse (1,967 words) [view diff] case mismatch in snippet view article find links to article

separately so that each value of t {\displaystyle t} gives four points on the curve. Equivalently, letting t {\displaystyle t} range over 0 ≤ t < 2 π

Asymptote (4,505 words) [view diff] case mismatch in snippet view article find links to article

f(x)={\frac {1}{x}}} shown in this section. The coordinates of the points on the curve are of the form ( x , 1 x ) {\displaystyle \left(x,{\frac {1}{x}}\right)}

Elliptic-curve cryptography (4,660 words) [view diff] case mismatch in snippet view article find links to article

|E(\mathbb {F} _{q})|=q} are vulnerable to the attack that maps the points on the curve to the additive group of F q {\displaystyle \mathbb {F} _{q}} . Because

Luciano Berio (3,524 words) [view diff] case mismatch in snippet view article find links to article

piano which vary from solo pieces to essentially concerto pieces (points on the curve to find, concerto for two pianos, and Coro, which has a strong backbone

Supply (economics) (3,033 words) [view diff] case mismatch in snippet view article

intersection and will increase as one moves up the curve; however, all points on the curve will have a coefficient of elasticity less than 1. If the linear

Analytic geometry (5,588 words) [view diff] case mismatch in snippet view article find links to article

point. Informally, it is a line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve

Ensemble Contrechamps (342 words) [view diff] exact match in snippet view article find links to article

Stram Gram. Contrechamps 30 ans | Label Contrechamps Luciano Berio, Points on the Curve to Find..., Folk Songs, Sequenza VII, Laborintus II | Spotify William

Arc length (5,176 words) [view diff] case mismatch in snippet view article find links to article

in the plane can be approximated by connecting a finite number of points on the curve using (straight) line segments to create a polygonal path. Since

Integral (9,235 words) [view diff] case mismatch in snippet view article find links to article

value of the line integral is the sum of values of the field at all points on the curve, weighted by some scalar function on the curve (commonly arc length

Substitute good (3,214 words) [view diff] case mismatch in snippet view article find links to article

substitution along the consumer indifference curve. The consumption points on the curve offer the same level of utility as before, but compensation depends

Titius–Bode law (4,378 words) [view diff] case mismatch in snippet view article find links to article

empirical form was provided in the form of a graph (the reason that points on the curve are such a close match for empirical data, for objects discovered

Centripetal force (7,791 words) [view diff] case mismatch in snippet view article find links to article

circle of a sequence of circles that pass through P and two other points on the curve, Q and R, on either side of P, as Q and R approach P. See the online

The Dip (708 words) [view diff] case mismatch in snippet view article find links to article

analyzed the hypothetical conversation that would occur at four points on the curve. In addition to being the basis behind The Dip, the entry was also

Anthony di Bonaventura (1,098 words) [view diff] exact match in snippet view article find links to article

Concerto (1986), Ginastera's Piano Sonata No. 2 (1992), Berio's Points on the Curve to Find (1975), Persichetti's Piano Concerto (1968), and other works

Secret sharing (3,749 words) [view diff] case mismatch in snippet view article find links to article

coefficient and the remaining coefficients picked at random. Next find n points on the curve and give one to each of the players. When at least t out of the n

Fermat's right triangle theorem (2,278 words) [view diff] case mismatch in snippet view article find links to article

Fermat's theorem is equivalent to the statement that these are the only points on the curve for which both x {\displaystyle x} and y {\displaystyle y} are rational

Generalized coordinates (4,543 words) [view diff] case mismatch in snippet view article find links to article

surfaces in 3D. Only two numbers (u, v) are needed to specify the points on the curve, one possibility is shown for each case. The full three Cartesian

Cramer's theorem (algebraic curves) (1,087 words) [view diff] case mismatch in snippet view article

coefficients. An example of a degenerate case, in which n(n + 3) / 2 points on the curve are not sufficient to determine the curve uniquely, was provided

Lenstra elliptic-curve factorization (4,508 words) [view diff] case mismatch in snippet view article find links to article

assure the point is on the curve. One can define Addition of two points on the curve, to define a group. The addition laws are given in the article on

Contour integration (9,631 words) [view diff] case mismatch in snippet view article find links to article

arc. The parametrization of a curve provides a natural ordering of points on the curve: z ( x ) {\displaystyle z(x)} comes before z ( y ) {\displaystyle

Medial magma (864 words) [view diff] case mismatch in snippet view article find links to article

collinear points on elliptic curves. The operation x • y = −(x + y) for points on the curve, corresponding to drawing a line between x and y and defining x •

List of centroids (249 words) [view diff] case mismatch in snippet view article find links to article

{2r}{\pi }}} L = π r {\displaystyle L=\,\!\pi r} Arc of circle The points on the curve (in polar coordinates) ρ = r {\displaystyle \,\!\rho =r} , from θ

Negative resistance (15,482 words) [view diff] case mismatch in snippet view article find links to article

Differential resistance is only relevant to time-varying currents. Points on the curve where the slope is negative (declining to the right), meaning an

Differential geometry of surfaces (17,463 words) [view diff] case mismatch in snippet view article find links to article

a geodesic if and only if its geodesic curvature vanishes at all points on the curve. A unit speed curve c(t) in an embedded surface is a geodesic if

Dual EC DRBG (6,727 words) [view diff] case mismatch in snippet view article find links to article

{5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b}}_{16}} The points on the curve are E ( F p ) {\displaystyle E({\displaystyle F_{p}})} . Two of these

Implicit curve (3,424 words) [view diff] case mismatch in snippet view article find links to article

raster points (black) are used as starting points to find the closest points on the curve (red circles). The spacing between each raster point is exaggerated

Rheobase (3,518 words) [view diff] case mismatch in snippet view article find links to article

required to stimulate excitable tissue. As mentioned, the two important points on the curve are rheobase (b) and chronaxie (c), which correlates to twice the

Joshua Banks Mailman (5,961 words) [view diff] exact match in snippet view article find links to article

of form, one that is more easily apprehended in time. Yet Berio’s Points on the Curve to Find was shown [by Mailman] to assertively project form through

Imaginary hyperelliptic curve (7,168 words) [view diff] case mismatch in snippet view article find links to article

of genus 2 over the real numbers. We can find the following points on the curve P = ( 1 , 8 ) {\displaystyle P=(1,8)} , Q = ( 3 , 0 ) {\displaystyle

K-stability of Fano varieties (9,356 words) [view diff] case mismatch in snippet view article find links to article

case one may construct test configurations out of collections of points on the curve, and when the curve is smooth no points destabilise. In dimension

Differential forms on a Riemann surface (11,053 words) [view diff] case mismatch in snippet view article find links to article

recursively replace γ by smooth segments between successive division points on the curve so that the resulting curve δ has only finitely many intersection