'Tangent vector' presentation slideshows

VECTOR FUNCTIONS

13. VECTOR FUNCTIONS. VECTOR FUNCTIONS. 13.4 Motion in Space: Velocity and Acceleration. In this section, we will learn about: The motion of an object using tangent and normal vectors. MOTION IN SPACE: VELOCITY AND ACCELERATION.

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Introduction to Advanced Calculus

Introduction to Advanced Calculus. (1) In Beginning Calculus , we study functions of one variable. where the input and output are both real numbers. (2) In Intermediate Calculus , we study functions of several variables such as. where the output is still a real number.

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VECTOR FUNCTIONS

13. VECTOR FUNCTIONS. VECTOR FUNCTIONS. Later in this chapter, we are going to use vector functions to describe the motion of planets and other objects through space. Here, we prepare the way by developing the calculus of vector functions. VECTOR FUNCTIONS. 13.2

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Texture Mapping Applications

Texture Mapping Applications. Bump Mapping. a family of techniques for representing small-scale detail better than ordinary texture mapping but usually less realistic than actual geometry implemented in the fragment shader

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General Relativity Physics Honours 2006

General Relativity Physics Honours 2006. A/Prof. Geraint F. Lewis Rm 557, A29 gfl@physics.usyd.edu.au Lecture Notes 9. Covariant Derivative.

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Section 14.3

Section 14.3. Arc Length and Curvature. ARC LENGTH. Let a space curve C be given by the parametric equations x = f ( t ) y = g ( t ) z = h ( t )

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Sec 14.3 Arc Length and Curvature

Sec 14.3 Arc Length and Curvature. Definition : The length of a space curve, a ? t ? b , that is traversed exactly once as t increases from a to b is given by. Definition : The arc length function s.

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Tangent Space

Tangent Space. Tangent Vector. Motion along a trajectory is described by position and velocity. Position uses an origin References the trajectory Displacement points along the trajectory. Tangent to the trajectory Velocity is also tangent. x 3. x 2. x 1. Tangent Plane.

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Chapter 14

Chapter 14. Section 14.3 Curves. z. The Direction of the Tangent Vector To see the geometric meaning of the derivative of a vector function consider the curve and where you are located at a time . Remember the derivative is the following limit. y. x.

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