- most
widely used in
modern mathematics are the sine, the cosine, and the
tangent functions.
Their reciprocals are
respectively the cosecant, the secant...
- A
tangent bundle is the
collection of all of the
tangent spaces for all
points on a manifold,
structured in a way that it
forms a new
manifold itself....
- In mathematics, the
tangent space of a
manifold is a
generalization of
tangent lines to
curves in two-dimensional
space and
tangent planes to surfaces...
- In
algebraic geometry, the
Zariski tangent space is a
construction that
defines a
tangent space at a
point P on an
algebraic variety V (and more generally)...
- cloud/Polar
stratospheric cloud Rainbow Sprite (lightning)
Subsun Sun dog
Tangent arc
Tyndall effect Upper-atmospheric lightning,
including red sprites,...
- More specifically, the
formulas describe the
derivatives of the so-called
tangent, normal, and
binormal unit
vectors in
terms of each other. The formulas...
- }}'(t)}{\left\|{\boldsymbol {\gamma }}'(t)\right\|}}.} If t = s is the
natural parameter, then the
tangent vector has unit length. The
formula simplifies: e 1 ( s )...
-
collection of all
cotangent vectors,
along with the
natural differentiable manifold structure. Like the
tangent bundle, the
cotangent bundle is
again a differentiable...
-
pushforward is a
linear approximation of
smooth maps (formulating manifold) on
tangent spaces.
Suppose that φ : M → N {\displaystyle \varphi \colon M\to N} is...
- trigonometry,
tangent half-angle
formulas relate the
tangent of half of an
angle to
trigonometric functions of the
entire angle. The
tangent of half an angle...
