PPT-Maxima and Minima

Summary of Maximum and Minimum Introduction 1 Local maximums and minimums of a function fx often but not always occur at stationary points where the functions derivative fx is zero. For example the graph of a di64256erentiable function has a horizontal tangent at a maximum or minimum point This is not quite accurate as we will see De64257nition Let an interval A point is a local maximum of if there is 948 0 such that wheneve INTERFERENCE PATTERN OF WATER WAVES. DIFFRACTION OF LIGHT OFF A COMPACT DISC. • . Constructive interference. produces . maxima. , where crests meet crests and troughs meet troughs to produce larger waves by superposition.. Lagrange's methods. Tutorial.. Session 2.. SIFT. Gonzalo . Vaca-Castano. Sift purpose. Find and describe interest points invariants to:. Scale. Rotation. Illumination. Viewpoint. Do it Yourself. Constructing a scale . space. FINITE ELEMENT ANALYSIS AND DESIGN. Nam-Ho Kim. MATHEMATICAL PRELIMINARY. Vector. a collection of scalars, defined using a bold typeface with braces . Matrix. a collection of vectors, defined using a bold typeface with brackets . TOPICS TO BE DISCUSSED. RESOLVING POWER. LORD RAYLEIGH CRITERION. RESOLVING POWER OF TELESCOPE. RESOLVING POWER OF GRATING. RESOLVING POWER. . The ability of an optical instrument, expressed as numerical measure to resolve the images of two nearby points is called resolving power of instrument.. Associate Professor in Physics. Post Graduate Govt. College Sector-11. Chandigarh. Diffraction. The deviation of waves from their original direction due to an obstruction in their path is called . diffraction.. Fernand Meyer. Center of mathematical morphology. Mines-ParisTech. France. Non edge preserving filters. The adjunction erosion/dilation. Openings/closings. The simplest filters. Alternate sequential filters. Properties of a Function’s Graph. Prepared by . Doron. . Shahar. Warm-up: page 40. What is a . y. -intercept? What is an . x. -intercept?. What is meant by a . zero. of a function?. A function . Functions can be simple . . minimum. Or a bit more complicated… with no minima despite appearance (saddle point) . . . saddle point. With degenerate minima – a whole line instead of a point . Summary of Maximum and Minimum Introduction. 1) Local maximums and minimums of a function, . f(x). , often . (but not always). occur at stationary points where the function's derivative, . f'(x). , is zero.. SIFT. Gonzalo . Vaca-Castano. Sift purpose. Find and describe interest points invariants to:. Scale. Rotation. Illumination. Viewpoint. Do it Yourself. Constructing a scale . space. LoG. . Approximation. Made to measure morphological filters Fernand Meyer Center of mathematical morphology Mines-ParisTech France Non edge preserving filters The adjunction erosion/dilation Openings/closings The simplest filters Objectives. Study the basic components of an . optimization problem. .. Formulation of design problems as mathematical programming problems. . Define . stationary points . Necessary and sufficient conditions for the relative maximum of a function of a single variable and for a function of two variables. .