PPT-Geophysical Inverse Problems

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. Sherif . Hanafy. (Mahmoud). Senior Research Scientist. Director of Geophysical Lab, KAUST. Geophysical Lab at KAUST. NZXP (one unit), 48 channels. Geode (24 units), 24 channels each = 576 channels. Seismic Equipment. . Relations. and . Functions. OBJ: . . . Find the . inverse. of a . relation. . . . . Draw the . graph. of a . function . and its . inverse. . . Determine whether the. We know how to graph the inverse of a function, but now we will look into expressing a new inverse function. Like before, let’s keep in mind the “switching x and y” theory. f. -1. (x). The inverse of the function f(x), f. Definition of Inverse Trig Functions. Graphs of inverse functions. Page 381. Ex. 1 Evaluating Inverse Trig Functions. a). arcsin. (-1/2). b). arcsin. (0.3). Properties of Inverse Functions. If -1≤x≤1 and –. 2x Leveraged ETF. . When index daily return rises 1%, ETF leveraged daily return rises 2%. 2X. -1x Inverse ETF. When index daily return drops 1%, ETF return rises 1%, hedging exposure to drop. -1X. 1X. Direct Variation. When we talk about a direct variation, we are talking about a relationship where as . x increases, . y increases. . or decreases at a . CONSTANT. . RATE. .. Direct Variation. Direct variation uses the following formula:. Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . 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). Backus-Gilbert Theory. and. Radon’s Problem. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . including. Filter Design. 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. A function maps each element in the domain to exactly 1 element in the range. . Concept 1. Example 1. Domain and Range. State the domain and range of the relation. Then determine whether the relation is a function. If it is a function, determine if it is . Gareth R. Barnes. Format. What is an inverse problem. Prior knowledge- links to popular algorithms.. Validation of prior knowledge/ Model evidence. Inverse problems aren’t difficult. The . forward. Grid Search and Monte Carlo Methods . Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . 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.