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Eigenfunctions on the surface of a sphere In spherical coordinates the Laplacian is ∆u = urr + 2 r ur + 1 r2 uφφ sin2θ + 1 sin θ sin θ uθθ Separating out the r variable…
224 224 Lecture Handout 5: Gases (Online Text Chapter 6) I. The Structure of a Gas A. Gases are composed of particles that are flying around very fast in their container(s).…
Introduction to potential theory – at black board Potentials of simple spherical systems Point mass- keplerian potential Homogeneous sphere ρ = constant and M(r)=(4/3)πr3ρ…
Introduction: Nuclear structure of the A Experimental conditions 18O (85 MeV) + 208Pb → 226Th* → FF1* + FF2* + 8 82 90 Energy of 85 MeV for 18O beam chosen in order to…
Self-similar Spherical collapse Lecture Notes Max-Planck Institut für Astrophysik 5th October 2017 Xun Shi Contents 1 Introduction 1 2 The spherical collapse model in cosmology…
Prof. Jose Sasian OPTI 517 Lens Design OPTI 517 Seidel aberration coefficients Prof. Jose Sasian OPTI 517 Fourth-order terms 2400311220 2 222131 2 040, HHWHHHWHHW HWHWWHW…
Prof Dr-Ing Dickmann FABRY PEROT RESONATOR Didactic Counsellor Fachhochschule Münster Fachbereich Physikal Technik Piezo LASER PHOTODIODE OFF ON 1 5 10 50 100 GAIN FPC 01…
Linear acceleration of rolling objects Rotational Motion (cont.) R θ Consider a round object (this could be a cylinder, hoop, sphere or spherical shell) having mass M, radius…
Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III Catarina P. Avelino ∗ Altino F. Santos † Department of Mathematics UTAD, 5001 - 801 Vila Real, Portugal…
Students Test info Avg: 21 Range 10 – 35 Tossing 2 questions…symbols did not print Form A Form B 12 9 ® = 18 24 DG = ΔG Final avg = 23 Most missed Form A Form B…
s s’ h’ h f Refraction on Spherical Surface ba θβφφαθ +=+= bbaa bbaa nn nn θθ θθ ≅ = sinsin φβα abba nnnn −=+ ⎫ ⎬ ⎭ δ φ δ β δ α − = −…
Slide 1 Coordinate Systems Rectangular coordinates, RHR, area, volume Polar Cartesian coordinates Unit Vectors Vector Fields Dot Product Cross Product Cylindrical Coordinates…
بن عبد العزيز األمري سطامجامعة قسم اهلندسة الكهربائية - كلية اهلندسة (3360)كهر (2اآلالت الكهربائية…
Stresses in Pressure Vessels MAE 322 Review Spherical Pressure Vessel • Considering a free-body diagram of one half of the sphere force equilibrium ΣF=0 requires that…
Transmissions electron microscopy Basic principles Sample preparation Imaging aberrations (Spherical, Chromatic, Astigmatism) contrast (Mass-thickness, Diffraction, Phase)…
Γλώσσες Προγραμματισμού Ι Pieter Bruegel, The Tower of Babel, 1563 Κωστής Σαγώνας Πέτρος Ποτίκας Εισαγωγή στις…
Spherical Coordinates and Legendre Functions Spherical coordinates Let’s adopt the notation for spherical coordinates that is standard in physics: φ = longitude or azimuth…
Use of Zarka‘s Method at FHL Theory Implementation in ANSYS Experience Hartwig Hübel Andreas Kretzschmar (FH Lausitz) Cracow March 11, 2003 Background, History in nuclear…
Lecture 30 • applications of Gauss’s Law: cylindrical symmetry and conductors • chapter 28 Current and Conductivity: basic idea of electron current Outline Conductors…
Himmelblau, Abendrot und Regenbögen Himmelblau Rayleigh-Streuung (Molekül < λ) - Streuung des Lichts ist abhängig von der Wellenlänge - Elektromagnetische Welle regt…