PPT-A Comparison of topographic effect by Newton’s integral a

YM Wang S Holmes J Saleh XP Li and D Roman National Geodetic Survey June 22 25 WPGM 2010 Taipei Taiwan Abstract The spherical harmonic expansion of the topographic gravitational potential has two major advantages over Newtonian integrals it offers computational efficiency and facilitates spectral analysis of the Earths gravity field The high degree harmonic expansion of the topography helps also in geoid computations. 1 = 8.85 32 = 283.22 63 = 557.60 94 = 831.97 125 = 1106.34 2 = 17.70 33 = 292.07 64 = 566.45 95 = 840.82 126 = 1115.19 3 = 26.55 34 = 300.93 65 = 575.30 96 = 849.67 127 = 1124.04 4 = 35.40 35 = 309.78 Kim Day. Jessie Twigger. Christian Zelenka. How is this technique conducted. The Newton-Raphson formula consists geometrically of . extending the tangent line at a current point . until it crosses zero, then . adding it all up. Integral Calculus. 1. Goal. Compute the . signed. area . under some portion of an arbitrary curve. Integral Calculus. 2. Divide and Conquer. Integral Calculus. 3. Animatedly. Integral Calculus. and . Compasses. Navigation Tools. Maps. Road maps. GPS (Global positioning system). Altimeter (altitude). Sextant (astronomy) . Watch. Topographic Maps. Compass. Topographic Maps. What's the difference between a topographic map and a regular map?. To Cambridge University . sizar. in 1661 . Plague forced university to close – Newton goes home to . Woolsthorp. Annus. mirabilis of 1666. Calculus. Problem of the Moon. Dominated by Aristotle. Newton read Descartes, Galileo, . By Katherine Voorhees. Russell Sage College. April 6, 2013. A Theorem of Newton. Application and significance . A Theorem of Newton derives a relationship between the roots and the coefficients of a polynomial without regard to negative signs.. Newton’s method. Need initial guess and derivative. Quadratic convergence. Proof via . taylor’s. theorem. x_n+1 = . x_n. – f(. x_n. )/f(. x_n. ). Derivation from point-slope y = m*(x – x_0) + y_0:. Choquet. and the Concave Integrals. Yaarit. . Even. Tel-Aviv University. December 2011. Non-additive integral. Decision making under uncertainty. Game theory . Multi-criteria decision aid (MCDA) . Insurance and financial assets pricing. Topographic notes. Topographic Map-includes contour lines drawn to represent changes in elevation.. Topographic maps take 3 dimensional ups and downs of the terrain and show them on 2 dimensional surface.. Aim: To be able to interpret a topographic Map.. What is a Topographic Map?. A topographic map. shows surface features,. or topography, of the . Earth. . Topography can be natural or human-made. As the number of rectangles increased, the approximation of the area under the curve approaches a value.. Copyright .  2010 Pearson Education, Inc.. Section 5.3 – The Definite Integral. Definition. interpret topographic maps and satellite views to identify land and erosional features and predict how these features may be reshaped by weathering. A 2D view of a 3D surface. How. do topographic maps give you a picture of what the landscape looks like?. COMPARISON OF ADJECTIVES DEGREES OF COMPARISON DEGREES OF COMPARISON COMPARATIVE DEGREE (Grau Comparativo) Compara UM elemento com OUTRO . Nessa comparação poderá haver IGUALDADE, DESIGUALDADE, SUPERIORIDADE . F. (. x. ) disebut . suatu. . anti turunan. dari . f. (. x. ) pada interval I bila . . Contoh. 1:. . . dan. . . adalah anti turunan dari .