PPT-10.7 – THIN CONVEX lenses

Also called why the human eye is spherical instead of flat Ever wondered Objectives WWBAT Describe how an image is formed by a thin convex lens Determine the location of image formation for a thin convex lens. ts rich fired look gives our buildings the timeless classic beauty that our clients want The variety of available shapes allows us to provide exacting detail and gives the appearance of real brick on corners columns and along corbels The longterm va gpliinfo brPage 3br Vertex Conversion Chart minus plus 387 400 425 400 425 450 425 450 475 450 475 500 475 500 525 500 525 562 512 550 587 537 575 612 562 600 650 575 625 675 600 650 700 625 675 737 650 700 762 662 725 800 687 750 825 712 775 850 725 Given a set of points (x. 1. ,y. 1. ),(x. 2. ,y. 2. ),…,(x. n. ,y. n. ), the . convex hull. is the smallest convex polygon containing all the points.. Convex Hulls. Given a set of points (x. 1. ,y. Problems in Ramsey theory typically ask a question of the form: "how many elements of some structure must there be to guarantee that a particular property will hold?“. Here we consider geometric Ramsey-type results about finite point sets in the plane.. Lenses. A . convex lens. (or a . converging lens. ) converges parallel light rays passing through it.. Various shapes of convex lenses. Terms for describing lenses. Optical centre. is the centre of a lens.. Guo. . Qi, . Chen . Zhenghai. , Wang . Guanhua. , Shen . Shiqi. , . Himeshi. De Silva. Outline. Introduction: Background & Definition of convex . hull. Three . algorithms. Graham’s Scan. Jarvis March. Recognise and use key words relating to lenses:. Focus / focal point, focal length. Optic centre. Principal axis. Use ray tracing to find the location of images in lenses.. Describe the images formed in lenses.. Section 6.2. Learning Goal. We will use our knowledge of the characteristics. of solids so that we can match a convex. polyhedron to its net. We’ll know we’ve got it. when we’re able to create a net for a given solid.. Lenses. A transparent object used to change the path of light. Examples: . Human eye. Eye glasses. Camera. Microscope. Telescope. Reading stones used by monks, nuns, and scholars ~1000 C.E.. Lenses . 12.2 Refraction of Light. 12.3 Total Internal Reflection. 12.4 Refraction by Thin Lenses. 12.5 Ray Diagrams for Thin Converging Lenses. Chapter 12 Light. 12.4 Refraction by Thin Lenses. Learning Outcomes. Georgina . Hall. Princeton, . ORFE. Joint work with . Amir Ali Ahmadi. Princeton, ORFE. 1. 5/4/2016. IBM May 2016. Nonnegative and convex polynomials. A polynomial . is nonnegative if . How does . nonnegativity. A planar region . . is called . convex. if and only if for any pair . of points . , . in . , the line segment . lies . completely. in . . .  . Otherwise, it is called . concave. . . Convex.  . Michael Fowler, . UVa. Today’s Topics. A bit more about mirrors…. Refraction. Lenses. Ray tracing to locate image. Concave Mirror Focusing Sunlight. This solar collector is really many small flat mirrors, but equivalent to a concave mirror focusing parallel rays to a point half way from the center of the mirror to its center of curvature.. Lecture 2 . Convex Set. CK Cheng. Dept. of Computer Science and Engineering. University of California, San Diego. Convex Optimization Problem:. 2. . is a convex function. For . , .  .  . Subject to.