PPT-Inverse Theory

CIDER seismology lecture IV July 14 2014 Mark Panning University of Florida Outline The basics forward and inverse linear and nonlinear Classic discrete linear approach Resolution error and null spaces. Describing Inverse Problems. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. . Relations. and . Functions. OBJ: . . . Find the . inverse. of a . relation. . . . . Draw the . graph. of a . function . and its . inverse. . . Determine whether the. Last Week Review. Matrix. Rule of addition. Rule of multiplication. Transpose. Main Diagonal. Dot Product. Block Multiplication. Matrix and Linear Equations. Basic Solution. X. 1. + X. 0. Linear Combination. A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function. 1. –1. D:. R:. Continuous. Increasing. Symmetry: Origin (odd . func. .). Bounded. Abs. Max. of at . x. = 1. Abs. Min. of at . by. Dr.. . Shorouk. . Ossama. Inverse Matrix :. If . A. is a square matrix. , and if a . matrix . B. of the same size . can be found such that . AB = BA = I. , then . A. is said to be . invertible. . Ossama. Inverse Matrix :. If . A. is a square matrix. , and if a . matrix . B. of the same size . can be found such that . AB = BA = I. , then . A. is said to be . invertible. and . B. is called an . The . inverse . of a relation is the set of ordered pairs obtained by . switching the input with the output. of each ordered pair in the original relation. (The domain of the original is the range of the inverse; and vice versa). Master Thesis. Andre S. Ferreira. Advisor: Dr. Arthur B. Weglein. November . 15, . 2011. Outline. Introduction and problem. Objectives. Theory. Data processing. Multiple attenuation. Conclusion. Introduction and problem. Andrew Gardner, Slides 2-5, . Rafael Diaz, Slides . 9-11. Mosi. Davis. , Slides 6-8. What is the Inverse Function and how is it applied with currency?. The Inverse Function is a function used to return a value from x to y. For example: . Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. 2. Norm and Simple Least Squares. July 14, 2014. Mark Panning, University of Florida. Outline. The basics (forward and inverse, linear and non-linear). Classic discrete, linear approach. Resolution, error, and null spaces. Thinking more probabilistically. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. 2. Norm and Simple Least Squares. with a focus on seismic tomography. CIDER2012- KITP- Santa Barbara. Seismic travel time tomography. 1) In the background, “reference” model: Travel time T along a ray . g:. v. 0. (s) velocity at point s on. Year. Mr.. . Shrimangale. G.W.. Definition of a group :-. Let G be a non-empty set equipped with a binary operation denoted by * i.e. a*b or more conveniently . ab. represents the elements of G obtained by applying the said binary operation between the elements a and b taken in .