Sine and cosine are written using functional notation with the abbreviations sin and cos.. Often, if the argument is simple enough, the function value will be written without parentheses, as sin θ rather than as sin(θ).. Each of sine and cosine is a function of an angle, which is usually expressed in terms of radians or degrees.Except where explicitly stated otherwise, this article …

On the other hand, the tangent cone is the union of the tangent lines to the two branches of C at the origin, x = y , x = − y . {\displaystyle x=y,\quad x=-y.} Its defining ideal is the principal ideal of k [ x ] generated by the initial term of f , namely y 2 − x 2 = 0.

Nose cone shapes and equations General dimensions. In all of the following nose cone shape equations, L is the overall length of the nose cone and R is the radius of the base of the nose cone. y is the radius at any point x, as x varies from 0, at the tip of the nose cone, to L.The equations define the two-dimensional profile of the nose shape.

1) except for the section on the area enclosed by a tilted ellipse, where the generalized form of Eq.(1) will be given. Area The area A ellipse {\displaystyle A_{\text{ellipse}}} enclosed by an ellipse is: A ellipse = π a b {\displaystyle A_{\text{ellipse}}=\pi ab} (2) where a {\displaystyle a} and b {\displaystyle b} are the lengths of the semi-major and semi-minor axes, respectively. …

The Frenet–Serret frame consisting of the tangent T, normal N, and binormal B collectively forms an orthonormal basis of 3-space. At each point of the curve, this attaches a frame of reference or rectilinear coordinate system (see image).. The Frenet–Serret formulas admit a kinematic interpretation. Imagine that an observer moves along the curve in time, using the attached …

Mary was a precocious child. In July 1520, when scarcely four and a half years old, she entertained a visiting French delegation with a performance on the virginals (a type of harpsichord). A great part of her early education came from her mother, who consulted the Spanish humanist Juan Luis Vives for advice and commissioned him to write De Institutione …

An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two.Every triangle has three distinct excircles, each tangent to one of the triangle's sides. The center of an excircle is the intersection of the internal bisector of one angle (at vertex , for example) and the external bisectors of the ...

Factor X, also known by the eponym Stuart–Prower factor, is an enzyme (EC 3.4.21.6) of the coagulation cascade.It is a serine endopeptidase (protease group S1, PA clan).Factor X is synthesized in the liver and requires vitamin K for its synthesis.. Factor X is activated, by hydrolysis, into factor Xa by both factor IX (with its cofactor, factor VIII in a complex known as …

The fourth season of Stargate SG-1, an American-Canadian television series, began airing on June 30, 2000 on Showtime.The fourth season concluded after 22 episodes on February 14, 2001 on British Sky One, which overtook Showtime in mid-season.The series was developed by Brad Wright and Jonathan Glassner.Season four regular cast members include Richard Dean …

In mathematical physics, Minkowski space (or Minkowski spacetime) (/ m ɪ ŋ ˈ k ɔː f s k i,-ˈ k ɒ f-/) is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded. Although initially developed by mathematician …

Etymology. The name comes from Marathi: खोखो (khō-khō), the word kho is an onomatopoeia of the sound invoked while playing the game.. History. Certain aspects of kho-kho's gameplay may have been mentioned in the Mahabharata.In pre-modern times, it is believed that a version of kho-kho known as Rathera was played on chariots (rath meaning "chariot" in Hindi).

The clavichord is a stringed rectangular keyboard instrument that was used largely in the Late Middle Ages, through the Renaissance, Baroque and Classical eras. Historically, it was mostly used as a practice instrument and as an aid to composition, not being loud enough for larger performances. The clavichord produces sound by striking brass or iron strings with small …

A cardinal spline, sometimes called a canonical spline, is obtained if = + + is used to calculate the tangents. The parameter c is a tension parameter that must be in the interval [0, 1].In some sense, this can be interpreted as the "length" of the tangent. Choosing c = 1 yields all zero tangents, and choosing c = 0.5 yields a Catmull–Rom spline. ...

三角関数（さんかくかんすう、英: trigonometric function ）とは、平面三角法における、角の大きさと線分の長さの関係を記述する関数の族および、それらを拡張して得られる関数の総称である。 鋭角を扱う場合、三角関数の値は対応する直角三角形の二辺の長さの比（三角比）である。