secant

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secant
secant, a. and n. (ˈsiːkənt) [a. L. secant-em, pres. pple. of secāre to cut. Cf. F. sécant adj., sécante n., Sp., Pg., It. secante.] A. adj. Geom. Of a line or surface in relation to another line or surface; Cutting, intersecting.1593 Blundevil Exerc. ii. (1597) 57 b, They call the line Secant the H... Oxford English Dictionary
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Secant
It may refer to: a secant line, in geometry the secant variety, in algebraic geometry secant (trigonometry) (Latin: secans), the multiplicative inverse of functions a secant ogive in nose cone designsr:Секанс wikipedia.org
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Secant & Tangent Pile Walls in Deep Excavations
In a tangent pile wall, there is no pile overlap as the piles are constructed flush to each other. The main advantages of secant pile walls are: 1. Increased construction alignment flexibility. 2. Increased secant pile wall stiffness compared to sheet piles. 3. Can be installed in difficult ground (cobbles/boulders).
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Performance Evaluation of RNN with Hyperbolic Secant in ...
by T Fujita · 2021 · Cited by 16 — This paper studies a novel recurrent neural network (RNN) with hyperbolic secant (sech) in the gate for a specific medical application task of Parkinson's ...
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Tangent–secant theorem
In Euclidean geometry, the tangent-secant theorem describes the relation of line segments created by a secant and a tangent line with the associated circle following equation holds: The tangent-secant theorem can be proven using similar triangles (see graphic). wikipedia.org
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Half secant in Circle OT and OQP are tangent and secant respectively drawn from external point $O$ of a circle centered at $C$. Mid-point M of the secant is joined to center $C$,an arc is drawn with center $O$ to be t...
$$TX^2 = OX^2-OT^2 =OM^2-OT^2 = (OQ+QM)(OP-QM)-OT^2$$ but since $OP\cdot OQ = OT^2$, $$ TX^2 = QM(OP-OQ)-QM^2 = 2 QM^2-QM^2 = QM^2 $$ as wanted.
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Secant plane
Secant planes are similar to tangent planes, which contact the sphere's surface at a point, while secant planes contact the surface along curves. The two-dimensional representations of secant planes are secant lines, the lines that join two distinct points on a curve. wikipedia.org
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Secant line
A chord is therefore contained in a unique secant line and each secant line determines a unique chord. a space curve) Secant plane, the three-dimensional equivalent of a secant line Secant variety, the union of secant lines and tangent lines to a given projective wikipedia.org
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Secant variety
In algebraic geometry, the secant variety , or the variety of chords, of a projective variety is the Zariski closure of the union of all secant lines The above secant variety is the first secant variety. Unless , it is always singular along , but may have other singular points. wikipedia.org
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Calculate the number of secant lines and intersections Given a circle $k$, and a finite number of points $n$ on the circle, where every 2 points are connected with a secant line such that no point in circle exists whe...
If the question would read intersections inside the circle. Then the number of lines would be ${n \choose 2}$. For every line you need 2 points and the order doens't matter. If you have an intersection you have $2$ lines and $4$ points. Note for every group of $4$ point you have $1$ intersection. So...
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Secant line - Wikipedia
Secant line. In geometry, a secant is a line that intersects a curve at a minimum of two distinct points. [1] The word secant comes from the Latin word secare, meaning to cut. [2] In the case of a circle, a secant intersects the circle at exactly two points. A chord is the line segment determined by the two points, that is, the interval on the ...
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2-secant varieties Suppose we have $X\subset\mathbb{P}^2$ an irreducible variety, and consider the 2-secant variety $\sigma_2(X)$. In a lecture I read that if X is a curve, and not a line, then $\sigma_2(X)=\mathbb{P}...
If $X$ is not a line, $d\geq 2$ so that the the secant line $\overline {Q_1Q_2}$ is equal to $L$. Thus every point $P$ is indeed on a secant of $X$, namely $\overline {Q_1Q_2}=L$, and this means that the secant variety of $X$ is indeed $\mathbb P^2$
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Hyperbolic secant distribution
characteristic function are proportional to the hyperbolic secant function. Ding (2014) shows three occurrences of the Hyperbolic secant distribution in statistical modeling and inference. wikipedia.org
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