2D Transformations. y. y. x. x. y. x. 2D Transformation. Given a 2D object, transformation is to change the object’s Position (translation) Size (scaling) Orientation (rotation) Shapes (shear). Point representation.

ByParallel Programming in C with MPI and OpenMP. Michael J. Quinn. Chapter 8. Matrix-vector Multiplication. Chapter Objectives. Review matrix-vector multiplicaiton Propose replication of vectors Develop three parallel programs, each based on a different data decomposition. Outline.

ByPhysics 2011 – General Physics. Fall, 2005 Scott Norr. Instructor: Scott R.Norr, PE. BSEE – North Dakota State University – 1986 Registered Professional Engineer, MN –1994 Minnesota Power – 1986 to 1997 ECE Dept. at UM – Duluth - 1999 to Present. Physics 2011.

ByMathematics for Computer Graphics (Appendix A). 2001. 1. 10 Won-Ki Jeong. x. y. y. x. A-1. Coordinate Reference Frame. 2D Cartesian reference frame. 2D Polar Coordinate reference frame. 3D Cartesian reference frame. Right-handed v.s left-handed. Right-handed. Left-handed.

ByEvaluating MMX Technology Using DSP and Multimedia Applications. Ravi Bhargava * Lizy K. John * Brian L. Evans Ramesh Radhakrishnan *. November 22, 1999. The University of Texas at Austin Department of Electrical and Computer Engineering * Laboratory of Computer Architecture.

ByChapter 3. Vector. 1. Adding Vectors Geometrically 2. Components of Vectors 3. Unit Vectors 4. Adding Vectors by Components 5. Multiplying Vectors . Adding Vectors Graphically. General procedure for adding two vectors graphically:

ByNumerical Algorithms • Matrix multiplication • Solving a system of linear equations. ITCS 4/5145 Parallel Computing UNC-Charlotte, B. Wilkinson, Feb 28, 2012. Matrices — A Review An n x m matrix. Matrix Addition C = A + B Matrices A , B , and C .

ByEngineering math Review. Trigonometry Systems of Equations Vectors Vector Addition and Subtraction Vector Multiplication. Trigonometry Review. Pythagorean Triples Sine, Cosine, and Tangent revisited. Law of Sines , Law of Cosines . Starting W ith Right Triangles. c. a. b.

ByPhysics 1025F Mechanics. ENERGY. Dr. Steve Peterson Steve.peterson@uct.ac.za. Chapter 6: Work and Energy. We have been using forces to study the translational motion of objects; Energy (and work) can provide an alternate analysis of this motion. ENERGY. Energy ….

ByCS 240A: Solving Ax = b in parallel. Dense A: Gaussian elimination with partial pivoting (LU) Same flavor as matrix * matrix, but more complicated Sparse A: Gaussian elimination – Cholesky, LU, etc. Graph algorithms Sparse A: Iterative methods – Conjugate gradient, etc.

ByCOMP 116: Introduction to Scientific Programming . Lecture 7 : Matrices and Linear Systems. Recap exercises. Indexing: what does A(3:7,5:end) return? Creating: how do you create this matrix? Statistical functions for matrices: min, max, sum, mean, std. A gambling game. One matrix M

BySpectral Mesh Processing. SIGGRAPH Asia 2011 Course Elements of Geometry Processing Hao (Richard) Zhang, Simon Fraser University. What do you see?. Solved in a new view …. !. ?. Different view or function space.

By16.360 Lecture 13. Basic Laws of Vector Algebra. Scalars:. e.g. 2 gallons, $1,000, 35 ºC. Vectors:. e.g. velocity: 35mph heading south 3N force toward center. 16.360 Lecture 13. Cartesian coordinate system. z. A. . y. . x. 16.360 Lecture 13.

ByTransformations. Dr. Amy Zhang. Reading. • Hill, Chapter 4, Section 4.5 • Hill, Chapter 5. Vectors and Points Recap. Vectors, basis, frames, and points:. Geometric Transformations. Functions to map points from one place to another Geometric transformations can be applied to:

ByPHY 113 A General Physics I 9-9:50 AM MWF Olin 101 Plan for Lecture 4: Chapter 3 – Vectors Abstract notion of vectors Displacement vectors Other examples. iclicker question Have you attended a tutoring session yet? Have you attended a lab session yet?

BySpace Vectors Problem 3.19. Determine the moment about the origin of the coordinate system, given a force vector and its distance from the origin. This requires vector multiplication! ( Slides will advance automatically - or hit the space bar to advance slides .).

ByVector Multiplication: The Cross Product. When two vectors are “multiplied” to form a 3 rd vector, the new vector is called the cross product of the original vectors. Symbolically, you write. The magnitude of the cross product is given by.

ByToday in Precalculus. Notes: Vector Operations Go over homework Homework. Vector Operations. Vector Addition Vector multiplication (multiplying a vector by a scalar or real number) Let u = u 1 ,u 2 and v = v 1 ,v 2 and k be a real number (scalar). Then:

ByWelcome to MAR 6658. Course Title Quantitative Methods in Marketing IV: Psychometric and Econometric Techniques Prerequisites MAR 6507 or instructor permission Instructor Charles Hofacker Meeting Tue 1:00-5:00 Contact Info Email : chofack @ cob.fsu.edu Office : RBB 255

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