Derivatives of tangent function and tangent numbers

F Qi - Applied Mathematics and Computation, 2015 - Elsevier
… B m , k ( cos x , − sin x , − cos x , sin x , … , − cos [ x + ( m − k ) … and recurrence relations for
the tangent numbers T 2 n − 1 , … x and on derivative polynomials of tan x, cot x , sec x , csc x , …

The story of tangents

JL Coolidge - The American Mathematical Monthly, 1951 - Taylor & Francis
… Let the equation of the curve be F(x, y) =0. We seek the subtangent at the point (x, y). A very
near point shall be (x+e): The ordinate up to the tangent is found by similar triangles to be y(1…

On the Geometry of the Tangent Bundle.

P Dombrowski - 1962 - degruyter.com
… manifold TM, which is the total space of the tangent bündle of M, admits an almost complex
structure … tangent space to TM at each point of TM into the so-called "vertical" resp. "horizontal …

Transformation invariance in pattern recognition—tangent distance and tangent propagation

PY Simard, YA LeCun, JS Denker, B Victorri - Neural networks: tricks of …, 2002 - Springer
… the concept of tangent vectors, which compactly represent the essence of these transformation
invariances, and two classes of algorithms, “tangent distance” and “tangent propagation”, …

[PDF][PDF] Constructing the concept image of a tangent

D Tall - Proceedings of the 11th Conference of the …, 1987 - homepages.warwick.ac.uk
… over whether there is a tangent or not!) The … tangent at the origin but, to the left, the tangent
coincides with the graph and so causes conflict with those students who believe that a tangent

Curve fitting approach for tangent angle and curvature measurements

DM Tsai, MF Chen - Pattern Recognition, 1994 - Elsevier
… imental results that compare the theoretical tangent angles and the evaluated tangent angles
for a set of eight analytic curves. The sensitivity and localization of the proposed algorithm …

Tangent convolutions for dense prediction in 3d

M Tatarchenko, J Park, V Koltun… - Proceedings of the …, 2018 - openaccess.thecvf.com
… In this section we describe how the tangent convolution defined in Section 3 can be
computed efficiently. In practice, the tangent image is treated as a discrete function on a …

[CITATION][C] Tangential approximations

JM Borwein, HM Strojwas - Nonlinear Analysis: Theory, Methods & …, 1985 - Elsevier
… relationships to the Clarke tangent cone. In Section 1 we present several types of tangent
cones and recall some of their properties. We also define two new tangent cones and describe …

The tangent space in sub-Riemannian geometry

A Bellaïche - Sub-Riemannian geometry, 1996 - Springer
… p, and a quasi-homogeneous structure on the tangent space TpM. Actually, we obtain thus
… tip, called the tangent Lie algebra, which acts infinitesimally on the tangent space at p. This …

On the equations defining tangent cones

L Robbiano, G Valla - Mathematical Proceedings of the Cambridge …, 1980 - cambridge.org
… The last part of this section contains an explicit calculation of the tangent cone at the origin
of the surface *S defined by the two equations: /x = X2Y + X*T + Z6 = 0, f2 = XY2 = 0. A reason …