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  1. APPM 5440: Applied Analysis I Solutions to Problem Set One ...

    ... d2(x2,y2) ︸ ︷︷ ︸ d1(x2,z2)+d1(z2,y2) ≤ [d1(x1,z1) + d1(x2,z2)] + [d1(z1,y1) + d1(z2,y2)] ... max{|x1|,|x2|,...xn|} + max{|y1|,|y2|,...yn|} ...

    http://www.colorado.edu/amath/sites/default/files/attached-files/hw1sol_0.pdf

  2. Matrix Calculus

    ... Functions Let x =     x1 x2 ... xn     , y =     y1 y2 ... yr     and z =     z1 z2 ... zm     (F.19) where ...

    http://www.colorado.edu/engineering/cas/courses.d/IFEM.d/IFEM.AppF.d/IFEM.AppF.pdf

  3. Content-type: application/mathematica ...

    ... xytrig_,Nsub_,ratio_]:=Module[\ \n {Ne,Nev,Ni,line2D={},nodes={},xy1,xy2,xy3, i,j,iz1,iz2,iz3,z1,z2,z3,\n\t \ x1,x2,x3,x4,x5,x6,y1,y2,y3,y4,y5,y6,xc,yc ...

    http://www.colorado.edu/engineering/cas/courses.d/IFEM.d/IFEM.Ch24.d/Trig6Stiffness.txt

  4. The Linear Tetrahedron

    ... 2 (x ,y ,z ) 2 2 2 ... ζ3,ζ4}; x={x1,x2,x3,x4}.Ne; Print[IntegrateOverTetrahedron[x^ 2,Ne,V ... arranged as a two-dimensional list: {{x1,y1,z1},{x2,y2,z2},{x3,y3 ...

    http://www.colorado.edu/engineering/CAS/courses.d/AFEM.d/AFEM.Ch09.d/AFEM.Ch09.pdf

  5. TL Bar Elements: Formulation

    ... 2 2 2 2 (x ,y ,z ) ... TLSpaceBarIntForce[enodXYZ_,Em_,A0_,s0_,edisXYZ_,numer_]: = Module[{X1,Y1,Z1,X2,Y2,Z2,x1,y1,z1,x2,y2,z2,X21,Y21,Z21, x21 ...

    http://www.colorado.edu/engineering/CAS/courses.d/NFEM.d/NFEM.Ch09.d/NFEM.Ch09.pdf

  6. APPM 4360/5360 Homework Assignment #1 Solutions Spring ...

    ... y = y2y1 x2 −x1 x + x2y1 −x1y2 x2 −x1 , which is the formula for a line going through (x1,y1) and (x2,y2). ... (c) |z|≤|z +1| ⇐⇒ x2 + y2 ≤ (x +1 ... z1 x1 ...

    http://amath.colorado.edu/sites/default/files/2015/01/1539044662/HW1_sol.pdf

  7. APPM 5450 Chapter 1 Solutions Fall 2008 Doug Lipinski ...

    ... Triangle inequality: d(z1,z2) = dX(x1,x2) + dY (y1,y2) ≤ dX(x1,x3) + dX(x2,x3) + dY (y1,y3) + dY (y2,y3) ≤ d(z1,z3) + d(z2,z3) ...

    http://amath.colorado.edu/sites/default/files/2013/09/88258859/HWSolutions-Ch1.pdf

  8. January 30-February 2, 2006 Fundamentals of Atomic and ...

    ... ih ∂ ∂t ψ(x1,y1,z1,x2,y2,z2,t) =[− h 2 2m1 ∂2 ∂x1 2 + ∂2 ∂y1 2 + ∂2 ∂z1 2 ... V(x1,y1,z1,x2,y2,z2,t)]ψ(x1,y1,z1,x2,y2,z2,t) (11) ...

    http://sisko.colorado.edu/NOTES/Lecture6_SpectroscopyNotes.pdf

  9. Einstein's Postulate of Relaavity

    ... Proper ame: Time interval Δt = t2 – t1 between two events (x1,y1,z1,t1) and (x2,y2,z2,t2) measured in the frame, in which the two events occur at the ...

    http://www.colorado.edu/physics/EducationIssues/ModernPhysics/Lecture_Notes/CSMSP11_Lecture08_IntroQuantum(asgiven).pdf

  10. Spacetime Diagrams(1D in space) Spacetime Diagrams(1D in ...

    ... Δx = x2 − x1 Δy = y2y1 Δz = z2z1 Δt = t2 − t1 With: Spacetime interval ... (ct)2 - x2 - y2 - z2 = 0 Wavefront = Surface of a sphere with radius ct: ...

    http://www.colorado.edu/physics/EducationIssues/ModernPhysics/Lecture_Notes/CSMSP11_Lecture06_Spacetime(asgiven).pdf

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