- 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...
- 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...
-
direction (of unit length) to the
manifold at x. The unit
tangent bundle is
equipped with a
natural projection π : U T ( M ) → M , {\displaystyle \pi :\mathrm...
- {\displaystyle {\tfrac {d}{dx}}e^{x}=e^{x}}
means that the
slope of the
tangent to the
graph at each
point is
equal to its
height (its y-coordinate) at...
- cloud/Polar
stratospheric cloud Rainbow Sprite (lightning)
Subsun Sun dog
Tangent arc
Tyndall effect Upper-atmospheric lightning,
including red sprites,...
-
mathematical constant approximately equal to 2.71828 that is the base of the
natural logarithm and
exponential function. It is
sometimes called Euler's number...
-
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...
