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Oregon State - BA - 271
Tutorial 3 Queries and Table RelationshipsReview Assignment pp 3.42 to 3.43Queries Simplequeries extract information from a single table Complex queries extract information from multiple tables Basedon "relations" between tablesDevelopmen
Oregon State - BA - 271
Tutorial 4 Forms and ReportsReview Assignment pp 4.34 to 4.35Setup Usethe solution from Tutorial 3 Save the Travel.bmp from the web siteStep 3: Form Wizard Table:Student Fields: all (note: order selected affects order presented on form)
UGA - PUBS - 07012004
Hydrology and Earth System Sciences, 2(1), 41-49 (1998) EGSHydrology & Earth System SciencesSoil moisture gradients and controls on a southern Appalachian hillslope from drought through rechargeJ. A. Yeakley,1-3-4 W. T. Swank,2 L. W. Swift,2 G.
Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
vti_encoding:SR|utf8-nl vti_author:SR|BUS\sullivan vti_modifiedby:SR|BUS\sullivan vti_timelastmodified:TR|11 Nov 2003 22:52:00 -0000 vti_timecreated:TR|27 Dec 2002 22:27:49 -0000 vti_title:SR|Assessing an Organization's Capability to Implement Strate
Oregon State - BA - 271
vti_encoding:SR|utf8-nl vti_author:SR|BUS\sullivan vti_modifiedby:SR|BUS\sullivan vti_timelastmodified:TR|11 Nov 2003 22:52:07 -0000 vti_timecreated:TR|27 Dec 2002 22:27:42 -0000 vti_title:SR|Assessing an Organization's Capability to Implement Strate
Oregon State - BA - 271
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Oregon State - BA - 271
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Oregon State - BA - 271
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UGA - MATH - 3000
Math 3000: Linear AlgebraLecturer: Dr. Jason Parsley Office: Boyd GSRC 407 Office phone: 542-2562 Office hours: Tu. 3:30-4:30 pm, W. 11-12, and also by appointment Email: parsley@math.uga.edu Please do not email me via WebCT; I do not read it often.
U. Houston - ECE - 6382
ECE 6382Fall 2008Analytic ContinuationD. R. Wilton ECE Dept.Analytic Continuation of Functionsm It seems clear how to extend linear combinations of the elementary functions* $ 1, x 1 , x 2 , x 3 , x 4 ,x 5 ,L ,x n ,L x m12,Pn ( x ) (ra
U. Houston - ECE - 6382
ECE 6382Fall 2008Applications of Bessel FunctionsD. R. Wilton ECE Dept.z-Independent Circular Cylinder Modes Dirichlet Case Assume that satisifies the 2D wave equation :a ( a, ) = 0(2+ k 2 ) ( , ) = 0,k = 2 = v , v is the
U. Houston - ECE - 6382
ECE 6382Fall 2008Applications of Bessel FunctionsD. R. Wilton ECE Dept.z-Independent Circular Cylinder Modes Dirichlet CaseAssume that satisifies the 2D wave equation :a ( a, ) = 0(D2+ k 2 ) ( , ) = 0,k = 2 = v , v is the
U. Houston - ECE - 6382
ECE 6382Fall 2007Bessel FunctionsD. R. Wilton ECE Dept.Wave Equation in Cylindrical CoordinatesSource - free scalar wave equation in cylindrical coordinates ( , , z ) : 2 + k 2 = 0, 1 k = 2 / 1 2 2 + 2 + k 2 = 0 + 2 2 z As
U. Houston - ECE - 6382
ECE 6382Fall 2007 Prof. David R. Jackson ECE Dept.Branch Points and Branch CutsPreliminaryConsiderf (z) = zz1/ 21/ 2z = r e jj 1/ 2= (r e)= r e j / 2Choosez =1 = 0: = 2 : = 4 :z1/ 2 = 1 z1/ 2 = -1 z1/ 2 = 1There are t
U. Houston - ECE - 6382
ECE 6382Fall 2008Differentiation of Functions of a Complex VariableD. R. Wilton ECE Dept.Differentiation of Functions of a Complex Variable Function of a complex variable : z = x + iy, w = u + iv w = f ( z ) = u ( x, y ) + iv ( x, y ) ( e.g.,
U. Houston - ECE - 6382
ECE 6382Fall 2008Differentiation of Functions of a Complex VariableD. R. Wilton ECE Dept.Differentiation of Functions of a Complex VariableFunction of a complex variable : z = x + iy, w = u + iv w = f ( z ) = u ( x, y ) + iv ( x, y ) where u (
U. Houston - ECE - 6382
ECE 6382Fall 2008Integration in the Complex PlaneD. R. Wilton ECE Dept.Line Integrals in the Complex PlaneConsiderCy n on C between zn-1 and zn N b = zN n 1 z1 2 z2a = z03z3.zn.z N -1 Consider the sums I N = f ( n )(
U. Houston - ECE - 6382
ECE 6382Fall 2008Integration in the Complex PlaneD. R. Wilton ECE Dept.Line Integrals in the Complex PlaneConsiderC y n on C between zn-1 and znn3 . 2 z2 z3 1 z1a = z0zn. N b = zN z N -1Consider the sums IN =N n =1f ( n )
U. Houston - ECE - 6382
Name_0BTime returned _1BECE 63822BFinal Exam3BFall, 20084BYour exam solution should be returned no later than 5:00 PM, Friday, Dec. 19, 2008.5BI certify that all the work contained in this exam is my own. I have neither given nor re
U. Houston - ECE - 6382
Name_ Time received _ Time returned _ECE 6382 Final Exam Fall, 2006Your exam solution should be returned no later than 72 hours after you received it.I certify that all the work contained in this exam is my own. I have neither given nor receive
U. Houston - ECE - 6382
0BName_1BTime returned _2BECE 63823BFinal Exam4BFall, 20085BYour exam solution should be returned no later than 5:00 PM, Friday, Dec. 19, 2008.I certify that all the work contained in this exam is my own. I have neither given n
U. Houston - ECE - 6382
ECE 6382Fall 2008Introduction to Green's FunctionsD. R. Wilton ECE Dept.Static Potential of Point Sources It is well known that the free space static potential at an observation point r due to a point charge Q at r is (r ) = Q , 4 0 r - r
U. Houston - ECE - 6382
ECE 6382Fall 2008Introduction to Green's FunctionsD. R. Wilton ECE Dept.Static Potential of Point SourcesIt is well known that the free space static potential at an observation point r due to a point charge Q at r is Q (r ) = , 4 0 r - r On t
U. Houston - ECE - 6382
ECE 6382Fall 2007Green's Functions for SOLDEsD. R. Wilton ECE Dept.Green's Functions for General SOLDEs The most general operator of second order is d2 d L = a0 ( x) 2 + a1 ( x) + a2 ( x) dx dx The initial value problem satisfies the followi
U. Houston - ECE - 6382
ECE 6382Fall 2008Green's Functions for the Stretched String ProblemD. R. Wilton ECE Dept.Motivation: System Impulse ResponseN th order diff. eq.Lvout = vin+ vin -L+ vout -+ ( t) - (t )L+ h(t ) - h (t ) Impulse response : L
U. Houston - ECE - 6382
ECE 6382Fall 2008Green's Functions for the Stretched String ProblemD. R. Wilton ECE Dept.Motivation: System Impulse ResponseN th order diff. eq.} Lvout = vin+ vin -L+ vout - ( t) - ( t)+L+ h( t) -h( t)Impulse response :
U. Houston - ECE - 6382
ECE 6382Fall 2008Evaluation of Definite Integrals Via the Residue TheoremD. R. Wilton ECE Dept.Recall for real integrals,2Review of Cauchy Principal Value Integrals 1/x-0 dx 2 dx dx 0 2 = + = ln x x =-1 + ln x x =0 = I = 0 x -1 x -1 x
U. Houston - ECE - 6382
ECE 6382Fall 2008Evaluation of Definite Integrals Via the Residue TheoremD. R. Wilton ECE Dept.Recall for real integrals,2Review of Cauchy Principal Value Integrals 1/x-0 dx 2 dx dx 0 2 I = = + = ln x x =-1 + ln x x =0 = -1 x -1 x 0 x
U. Houston - ECE - 6382
ECE 6382Fall 2008Introduction to the Theory of Complex VariablesD. R. Wilton ECE Dept.Some Applications of Complex VariablesExtension of real to complex variables : e -ikx - phase factor for a traveling, lossless plane wave ( k real) k k- ik -
U. Houston - ECE - 6382
ECE 6382Fall 2008 Prof. David R. Jackson ECE Dept.Branch Points and Branch CutsPreliminaryConsiderf (z) = zz1/ 21/ 2z = r e jj 1/ 2= (r e)= r e j / 2Choosez = r =1 = 0: = 2 : = 4 :z1/ 2 = 1 z1/ 2 = -1 z1/ 2 = 1There a
U. Houston - ECE - 6382
ECE 6382Fall 2008 Prof. David R. Jackson ECE Dept.Branch Points and Branch CutsPreliminaryConsiderf ( z ) = z1/ 2 z1/ 2z = r e jj 1/ 2=(re)= rej / 2Choosez = r =1 = 0:z1/ 2 = 1 z1/ 2 = -1 z1/ 2 = 1 = 2 : = 4 :There a
U. Houston - ECE - 6382
ECE 6382Fall 2008Legendre FunctionsD. R. Wilton ECE Dept.Wave Equation in Spherical CoordinatesSource - free scalar wave equation in spherical coordinates (r , , ) : 2 + k 2 = 0, 1 2 r2 r r r k = 2 / 2 1 + k 2 = 0 + 2 2 2 r sin
U. Houston - ECE - 6382
ECE 6382Fall 2008Legendre FunctionsD. R. Wilton ECE Dept.Wave Equation in Spherical CoordinatesSource - free scalar wave equation in spherical coordinates (r , , ) : D 2 + k 2 = 0, k = 2 / 2 1 sin + 2 2 + k 2 = 0 2 r sin 1 < 2
U. Houston - ECE - 6382
ECE 6382Fall 2008Functions of a Complex Variable as MappingsD. R. Wilton ECE Dept.A Function of a Complex Variable as a Mapping A function of a complex variable, w = f ( z ) , is usually viewed as a mapping from the complex z to the complex w
U. Houston - ECE - 6382
ECE 6382Fall 2008Functions of a Complex Variable as MappingsD. R. Wilton ECE Dept.A Function of a Complex Variable as a MappingA function of a complex variable, w = f ( z ) , is usually viewed as a mapping from the complex z to the complex w p
U. Houston - ECE - 6382
ECE 6382Fall 2007Pole and Product Expansions, Series SummationD. R. Wilton ECE Dept.Pole Expansion of Meromorphic FunctionsMittag - Leffler1 Theorem : f ( z ) has simple poles at z = an , n = 1,. , where 0 < a1 < a2 < a3 < f ( z ) has residu
U. Houston - ECE - 6382
ECE 6382Fall 2007Pole and Product Expansions, Series SummationD. R. Wilton ECE Dept.Pole Expansion of Meromorphic FunctionsMittag - Leffler1 Theorem : f ( z ) has simple poles at z = an , n = 1,K , where 0 < a1 < a2 < a3 < L f ( z ) has residu
U. Houston - ECE - 6382
ECE 6382Fall 2008Power Series RepresentationsD. R. Wilton ECE Dept.Geometric Series Consider the sumConsiderNoting thatSN = 1+ z + z +2+ z = znN n =0Ny1z <1 z >1zS N = z + z 2 + 1 - z N +1 1- z+ z N +1 ,we have that S N -
U. Houston - ECE - 6382
ECE 6382Fall 2008Power Series RepresentationsD. R. Wilton ECE Dept.Geometric SeriesConsider the sum Noting thatConsiderSN = 1+ z + z2 +L + z N =N n=0zny1z <1 z >1zS N = z + z 2 + L + z N +1 , we have that S N - zS N = ( 1 - z ) S
U. Houston - ECE - 6382
ECE 6382Fall 2008The Residue Theorem and Residue EvaluationD. R. Wilton ECE Dept.The Residue TheoremCConsider a line integral about a path enclosing an isolated singular point:ey z0 x f ( z ) dzCExpand f(z) in a Laurent series, deform
U. Houston - ECE - 6382
ECE 6382Fall 2008The Residue Theorem and Residue EvaluationD. R. Wilton ECE Dept.The Residue TheoremConsider a line integral about a path enclosing an isolated singular point:ey z0Cxy f ( z ) dzCExpand f(z) in a Laurent series, defo
U. Houston - ECE - 6382
ECE 6382Fall 2008Scalar Products, NormsD. R. Wilton ECE Dept.Ordinary Vectors with Complex CoefficientsA x ^ ^ ^ A = Ax x + Ay y + Az z = ( Ax , Ay , Az ) = y A z A Scalar product : A* <B* * A, B > = Ax Bx + A* By + Az Bz yAx , Ay