- 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...
-
Moonbow Nacreous cloud/Polar
stratospheric cloud Rainbow Subsun Sun dog
Tangent arc
Tyndall effect Upper-atmospheric lightning,
including red sprites,...
- expm1(x) = exp(x) − 1. An
identity in
terms of the
inverse hyperbolic tangent, l o g 1 p ( x ) = log ( 1 + x ) = 2 a r t a n h ( x 2 + x ) , {\displaystyle...
- 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...
-
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 a smooth...
-
collection of all
cotangent vectors,
along with the
natural differentiable manifold structure. Like the
tangent bundle, the
cotangent bundle is
again a differentiable...
- 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)...
-
tangents can
always be
drawn to a
circle from any
point outside the circle, and
these tangents are
equal in length. If a
tangent at A and a
tangent at...
