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Special 9/14/2004 Problem 2-5.11.doc 1/1 Special Problem 2-5.11 Determine if the vector field A ( r ) is solenoidal. r r2 ^ A ( r ) = ar + sin 4 a + - r 2 sin a ) ^ ^ ( Jim Stiles The Univ. of Kansas Dept. of EECS
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E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/14/2004 Special Problem 2-5.12.doc 1/1 Special Problem 2-5.12 Consider the vector field A ( r ) = ( z ) , and contours C and C : 2 a b z P2 Cb P1 Ca y x Contour Ca starts at the origin and ends at point P1, whereas contour Cb starts at ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/14/2004 Special Problem 2-5.13.doc 1/1 Special Problem 2-5.13 Determine the surface integral: where: A (r ) ds S 2 + z 2 ^ ^ ^ A (r ) = ax + z ay + az 5 and surface S , lying entirely on the y-z plane, has shape: z S 1 2 y x ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/21/2003 Special Problem 2-5.14 1/1 Special Problem 2-5.14 Contour C is a straight line extending from a beginning point at: x = 0, y = 2, z = 3 to an ending point at: x = 2, y = 2, z = 3 Evaluate the contour integral: A (r ) d C where ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/21/2003 Special Problem 2-5.16 1/1 Special Problem 2-5.16 Consider the vector field A ( r ) : A ( r ) = 2 ax + z ay There exists a contour C in space where at every point along the contour, vector A has the quantity: A ( rc ) = 4 ax + 6...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/27/2004 Special Problem 2-5.17.doc 1/1 Special Problem 2-5.17 Write the number (e.g., 23, 25) of all of the expressions below that equal zero: 1. For any and all vector fields A(r ) :_ 2. Only when the vector field A(r ) is conservative:_ 3. On...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/8/2004 Special Problem 3-4.1.doc 1/1 Special Problem 3-4.1 The current density in a certain region is given by the vector field: -1 r2 ^ J (r ) = a^ + a r r sin a) Find the time derivative of the charge density. b) By how much does the charge ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/8/2004 Special Problem 3-4.2.doc 1/1 Special Problem 3-4.2 Current is flowing in a region with density: J (r ) = r ^ ar + r cos a^ + cos sin a^ 8 A m2 A sphere with radius 2 meters, centered at the origin, encloses at one moment in tim...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
Special Problem 3-5.1 The current filaments below are located 10 meters apart. The current in each filament is 1 Amp, and the length of each filament is 0.01 meters. Find (read this carefully!) the force exerted by filament a on filament b. Filament ...
Hudson VCC >> CS >> 295 (Fall, 2009)
New Course Offering for Spring 2007. l ricaing ct Ele ineer Eng city of taion ysi Sta cs tist Rev ers ical M ibl e Qu e Comchanic Me ant pu s, asu um ter s, The reme ory nt ics & Statist bility Proba g, Testin n, thesis Hypo Informatiopy Fisher um En...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/5/2004 SP 3.5-1.doc 1/2 Special Problem 3.5-1 Consider carefully the rectifier below (note we have not studied precisely this circuit before!). The diode is IDEAL. 1) Determine the transfer function of this circuit + - vI(t) + vO - 2) For ...
Hudson VCC >> CS >> 295 (Fall, 2009)
CS 295 Information Wed. 2:00 3:00 pm; and by appointment. Lectures: T & Th, 8:00 9:15 am in 307 Votey. Web P...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/19/2004 Special Problem 4-2.1.doc 1/1 Special Problem 4-2.1 Two engineers are having a difference of opinion. One says the following static electric field cannot possibly exist. ^ ^ E ( r ) = cos ar + r 2 a The other engineer, however, says t...
Hudson VCC >> CS >> 295 (Fall, 2009)
Probability Theory Robert R. Snapp January 19, 2007 1 Informal Set Theory (A good reference for this topic is Halmos\'s Naive Set Theory [2].) A set is defined as collection of objects, or elements. Familiar examples are the set of greek letters, {...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/19/2004 Special Problem 4-3.1.doc 1/1 Special Problem 4-3.1 A static electric field is evaluated at point x=2, y=-1, z=1 (with units of meters), and determined to be: ^x + 2^y - 2^z a a a ( x = 2, y = -1, z = 1 ) = 12 0 This electric field wa...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/26/2004 Special Problem 4-5.1.doc 1/1 Special Problem 4-5.1 Using any valid method, determine the electric field created by the charge density given below: 0 2r 2 v ( r ) = 0 r<2 r>2 C m3 Jim Stiles The Univ. of Kansas Dept. of...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
Special Problem 4-5.2 Determine the electric field created everywhere in free-space by the charge density: 0 2 v ( r ) = 0 r 0 r < 1m 1m < r < 2m C m2 r > 2m Make sure your answer defines E ( r ) everywhere! ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/29/2004 Special Problem 4-6.1 1/1 Special Problem 4-6.1 An electric dipole with dipole moment : p = 9 0 3 ^x + 2 ^z a a ( ) is located at point P (x = 0, y = 3, z = 1) in free space. Determine the potential difference (in volts) between poi...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/29/2004 Special Problem 4-6.2 1/1 Special Problem 4-6.2 Consider the dipole shown below. Two point charges lie on the x-axis, each a distance of 0.01 m from origin. 1) Determine the electric potential difference Vab between the point denoted by...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/29/2004 Special Problem 4-6.3 1/1 Special Problem 4-6.3 Consider the electric field: ^ E ( r ) = (3r sin - 2cos ) r ar ^ + cos ( r -1 sin tan - r 2 ) a cos cot ^ + + r sin csc a r V m Determine the electric potential differ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/29/2004 Special Problem 4-6.5 1/1 Special Problem 4-6.5 The electric potential within some region is: V (r ) = x 2 + yz Consider two contours in this same region: [V ] The first contour (C1) extends from point Pa , located at ra = 3 ax ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/1/2004 Special Problem 5-2.1.doc 1/1 Special Problem 5-2.1 The current density in a material with conductivity 2.0 [ m ] -1 is: 2x ^x + 4y ^y a a A m2 Find the electric potential difference between point rb = 2 ^x . a ra = 0 and Jim St...
Columbia >> YT >> 2239 (Fall, 2009)
Where are the most sustainable sites in Manhattan? Suitability Analysis of Available Sites MANHATTAN: LAND USE (1586 vacant lots) Bronx New Jersey Queens Water other one manufacturing transportation & utility...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/1/2004 Special Problem 5-2.2.doc 1/1 Special Problem 5-2.2 A resistor with length 6 and radius 1 is centered at the origin and aligned with the z-axis. This cylinder is made of material with conductivity: = 3 (1 + 3z 2 ) 1 m Say cu...
Columbia >> YT >> 2239 (Fall, 2009)
Advanced GIS Week 11 Yuan Tang April 14, 2009 WEEK 11 ASSIGNMENT & DELIVERABLES YUAN TANG April 13, 2009 1. Provide a screen shoot of your added, button and illustrate that it worked by posting a map showing area per population for Brooklyn parks ...
Columbia >> YT >> 2239 (Fall, 2009)
AIR QUALITY INTERPOLATION BY IDW (inverse distance weighting) Legend ! PM2.5 Monitor Points 2008 PM2.5 Levels 10 New York City mi JANUARY ! ! ! ! ! APRIL ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! PM2.5 Concentrations (ug/m3) 13.1...
Columbia >> YT >> 2239 (Fall, 2009)
0 0.5 1 1.5 Miles 2 Cluster Analysis of Energy Uses in Manhattan by Lot 2007 Standard Deviations -4.06 -2.58 -1.96 1.96 2.58 -2.58 -1.96 1.96 2.58 24.41 No Data Data Sources: NYC Department of City Planning, 2007 and US Department of Energy ...
Columbia >> YT >> 2239 (Fall, 2009)
Week 8, Question 4 - Module #5 Map MODULE 5: SUBURBAN HOUSES EXTRACTION YUAN TANG 0 25 50 Feet 100 Houses points extracted March 25, 2009 Source: Visual Learning Systems, Inc. ESRI Week 8, Question 4 - Module #3 Map MODULE 3: URBAN STREETS EXT...
Columbia >> YT >> 2239 (Fall, 2009)
E1 78 E1 79 ST Suitable Sites for a NGO\' Environmental s Educational Facility Yuan Tang April 9, 2009 ST BO ST ON RD Bronx Greenway ON ST BO RD E TR EM ONT AV 1 E 177 ST 1 2 W ES T FA RM S RD Bronx AV LLO W Streets Bronx River AV BO...
Hudson VCC >> CS >> 274 (Fall, 2009)
Viewing (Review of 2D) Recall the 2-D viewing pipeline: 1 Tr rm fo s an AA Viewing Coordinates A Ob je ct World Coordinates A Local (Model) Coordinates 768 1024 Device (Screen) Coordinates In 3-D we must clip with respect to a 3-D window,...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
Special Problem 5-4.4 A hollow conducting sphere of radius 1 m is centered at the origin. Every point on this sphere has an electric scalar potential of 4.0 V. Another hollow conducting sphere of radius 1/2 m is also centered at the origin. Every poi...
Columbia >> YT >> 2239 (Fall, 2009)
Yuan Tang Final Project: Paragraph 11/11/08 Are sidewalk cafes appropriate for their locations in Midtown/Time Square Area? Sidewalk congestion is a serious problem in Community Board 5 Midtown area. With increased pedestr...
Hudson VCC >> CS >> 274 (Fall, 2009)
Abstract Graphics Program User Input Model Application Program Graphics Pipeline Display Scanline Conversion Converting Line Segments 1. Naive method 2. Digital Differential Analyzer 3. Bresenham\'s Algorithm 4. Wu and Rockne\'s Algorithm Converting...
Columbia >> YT >> 2239 (Fall, 2009)
Yuan Tang Final Project: Paragraph 11/11/08 Are sidewalk cafes appropriate for their locations in Midtown/Time Square Area? Sidewalk congestion is a serious problem in Community Board 5 Midtown area. With increased pedestria...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/10/2003 Special Problem 5-4.6 1/1 Special Problem 5-4.6 A hollow conducting sphere of radius 2 m is centered at the origin. Every point on this sphere has an electric scalar potential of 6.0 V. Another hollow conducting sphere of radius 1 m is ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
Special Problem 6-2.1 Consider a conducting sphere, radius 1 m. Also consider a conducting cube, with edge lengths (e.g, height, width, depth) of 1 m. The electric potential difference between these two conductors is 10 V. The surface charge density ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
Special Problem 6-4.1 1. A parallel plate capacitor has a surface area of 0.1 m2. 2. Its capacitance is 0.06 Farads. 3. The capacitor is currently storing energy equal to 3.0 Joules. Find the surface charge density on each capacitor plate. ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/14/2004 Special Problem 6-4.2.doc 1/1 Special Problem 6-4.2 Consider two conducting cubes with a difference in electric potential of Vs volts. Each edge of the first cube is two meters in length, and the cube is completely covered (all 6 sides)...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.1.doc 1/1 Special Problem 8-3.1 Two slabs of dissimilar magnetic material share a common boundary, as shown below. It is known that the magnetic flux density in the upper dielectric region is: a a B1 ( r ) = 3 0 ^x ...
Columbia >> YT >> 2239 (Fall, 2009)
Median Household Income : 2000 Census $0.00 - $20,000.00 $20,000.01 - $35,000.00 $35,000.01 - $50,000.00 $50,000.01 - $60,000.00 $60,000.01 - $100,000.00 $100,000.01 - $188,697.00 New York City 0 2.5 5 10 Miles All map data derived from 2000 US C...
Columbia >> YT >> 2239 (Fall, 2009)
Total Area of Industrial Land within CSOs around Bronx River (in sq meters) in 2006 Source: New York City Department of City Planning, Department of Environment Protection, Pluto Data 2006 Yuan Tang ...
Columbia >> YT >> 2239 (Fall, 2009)
Land Use Area (sq m) in CSO-008 17507.68 20763.87 18627.19 31410.83 127945.77 4053.38 57518.34 Land Use for CSO-008: The CSO with the Highest Area of Industrial Land Bronx Watershed Area Bronx CSO Area 36767.91 64563.31 Other One &Two Family Buil...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.2.doc 1/1 Special Problem 8-3.2 Consider the magnetic field: H ( r ) = z cos + z 2 + 2 sin z a a a Determine the current density J ( r density. A m ) that created this magnetic flux Jim Stiles The Univ....
Columbia >> YT >> 2239 (Fall, 2009)
0 0.5 1 Kilometers 2 Population Density in CSOs in Bronx River Watershed Area New York n Ri ver Population Density (per sq km) CSO-010: 7513 CSO-007: 18095 CSO-007 Population: 96257 Population Density: 18095 (per sq km) Hud so CSO-009: 217...
Columbia >> YT >> 2239 (Fall, 2009)
Problem Set #2 Yuan Tang Data Structure and GIS Databases: 1. What is the difference between the Raster and Vector data structures? Give an GIS specialist decide which data structure to use? (8 points) example of why one of these data structures ...
Columbia >> YT >> 2239 (Fall, 2009)
Problem Set #2 Yuan Tang Data Structure and GIS Databases: 1. What is the difference between the Raster and Vector data structures? Give an example of why one of these data structures may be used over the other. How does a GIS specialist decide which...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.3.doc 1/1 Special Problem 8-3.3 Two slabs of dissimilar magnetic material share a common boundary, as shown below. It is known that the magnetic flux density in region 1 (the left side) is: a a B1 ( r ) = 2 0 ^x + 1...
Columbia >> YT >> 2239 (Fall, 2009)
NEW JERSEY NEW YORK HU DS ON RI VE R Bronx Land Use Map: New York Department of City Planning 2006 Commercial Buildings Industrial Commercial Buildings LONG ISLAND SOUND Multi-Family Elevator Building...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.4.doc 1/2 Special Problem 8-3.4 Shown below is the cross-section of a cylindrical structure that is centered along the z-axis (the z-axis is pointing out of the page). The center region (region 1) is a cylinder of ma...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.5.doc 1/1 Special Problem 8-3.5 A Solenoid of length L=0.1 meters and radius of 0.01 meters is made with N=1000 wire turns. A current of 0.02 A is passing through the wire. In the core (i.e., in the center) of the so...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
11/30/2004 Special Problem 8-3.6.doc 1/1 Special Problem 8-3.6 A 10 resistor with length 10 and radius 1 is aligned with the z-axis. Within this resistor exists the magnetic field: H (r ) = 4 a 4 ^ A / m I 1m R=10 z z =-5 m z =5 m ...
Columbia >> YT >> 2239 (Fall, 2009)
Percentage of Spanish-Speaking Adults (18<) by Census Tract in Bronx 0% - 20% 21% - 36% 37% - 52% 53% - 69% 70% - 100% Bronx 0 0.5 1 2 Miles All map data derived from 2000 US Census ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
8/29/2005 Special Problem 2-4.2.doc 1/1 Special Problem 2-4.2 Rewrite the discrete vector A in terms of a set of orthonormal base ^ ^ ^ vectors b1 , b2 , b3 ; where: A = 3 a^x + 2 a^y and 1 ^ x b1 = a ^ 2 1 ^ a b1 ^ y = 2 ^ x b2 = 0 a ^ ^ a...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
8/29/2005 Special Problem 2-4.3.doc 1/1 Special Problem 2- 4.3 Using directly the results for dot product and cross product, show that the triple product can be expressed in terms of the scalar components of three vectors A, B, and C as: A BxC =...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
8/29/2005 Special Problem 2-4.11.doc 1/1 Special Problem 2-4.11 Consider a vector A, written in terms of orthonormal base vectors ^ ^ i^, j , k : ^ ^ A = 2 i^ - 2 j + 2 k Rewrite vector A in terms of a new set of orthonormal base vectors given i...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/1/2006 Special Problem 2-4.17 1/1 Special Problem 2-4.17 shown in the diagram below. The relative directions of a vector C and base vectors a1 and a2 are The magnitude of vector C is C = 2 3 Express vector C in terms of base vectors a1 a...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/16/2005 Special Problem 2-5.6.doc 1/1 Special Problem 2-5.6 Evaluate the surface integral: where: A (r ) ds S A ( r ) = ( 2 + z 2 ) a^ + a^ and S =S1 +S2 where: z S2 In other words, S1 is a 45 degree cone, and S2 is the flat surface th...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/27/2005 Special Problem 2-5.8.doc 1/1 Special Problem 2-5.8 Determine if the vector field: A ( r ) = sin a^ + cos a^ is conservative. Jim Stiles The Univ. of Kansas Dept. of EECS ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/27/2005 Special Problem 2-5.11.doc 1/1 Special Problem 2-5.11 Determine if the vector field A ( r ) is solenoidal. r2 r A ( r ) = ar + sin 4 a + r 2 sin a ) ( Jim Stiles The Univ. of Kansas Dept. of EECS ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/12/2005 Special Problem 2-5.16.doc 1/1 Special Problem 2-5.16 Consider the vector field A ( r ) : ^ ^ A ( r ) = 2 ax + z ay There exists a contour C in space where at every point along the contour, vector A has the quantity: ^ ^ A ( rc ) = 4...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/12/2006 Special Problem 2-5.23 1/1 Special Problem 2-5.23 Contour C is a straight line extending from the z-axis to point Pa. This countour is parallel to the x-y plane Point Pa is located at ra = 2 ^x + 2 ^y + 3 ^z . a a a Mathematically desc...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
9/14/2006 Speical Problem 2-5.24 1/1 Speical Problem 2-5.24 Contour C is a straight line extending from point Pa to point Pb. Point Pa is located at Point Pb is located at ra = - ^x - ^y + 2 ^z . a a a rb = 2 ^x + 2 ^y + 2 ^z . a a a Note contou...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/7/2005 Special Problem 3-4.3 1/1 Special Problem 3-4.3 A sphere with a radius of 2 m is centered at the origin. This sphere is immersed in a conducting material, and current is flowing through this material, with a density: J (r ) = 1 a^ ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/19/2007 SP 4-5.4 1/2 Special Problem 4-5.4 Determine the electric field in free-space created by the charge density: 9 0 < 1m v (r ) = 0 1m 2 m > 2m 3 0 C 3 m Jim Stiles The Univ. of Kansas Dept. of EECS ...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/25/2005 Special Problem 4-6.2.doc 1/1 Special Problem 4-6.2 Consider the dipole shown below. Two point charges lie on the x-axis, each a distance of 0.01 m from origin. Determine the electric potential difference Vab between the point denoted b...
E. Kentucky >> ITTC >> 220 (Fall, 2009)
10/29/2004 Special Problem 4-6.3 1/1 Special Problem 4-6.3 Consider the electric field: ^ E ( r ) = (3r sin - 2cos ) r ar ^ + cos ( r -1 sin tan - r 2 ) a cos cot ^ + + r sin csc a r V m Determine the electric potential differ...
Hudson VCC >> CS >> 103 (Fall, 2009)
6 Parameter Passing In the last chapter we explored the semantics of language features that are found in most programming languages, though sometimes in restricted forms. In this chapter we explore a number of semantic variations that are commonly ...
Hudson VCC >> CS >> 103 (Fall, 2009)
<?xml version=\"1.0\" encoding=\"UTF-8\"?> <Error><Code>NoSuchKey</Code><Message>The specified key does not exist.</Message><Key>483a12def307928809abe69c9c8bff1f1b3a6784.ps</Key><RequestId>4E 11193A5858F92D</RequestId><HostId>E7bRVSkrQyRt0LAwoenr4bXH10nC...
Alaska Anch >> CS >> 101 (Fall, 2009)
CS101 Web Applets, Intro to Graphics So far, the Java programs we have written have been Java applications. They are standalone programs that run under the Java interpreter. A slightly different type of Java programs is the Java applet. The applet is...
Alaska Anch >> CS >> 101 (Fall, 2009)
CS101 Binary Storage Devices and Boolean Logic Now that we have discussed number representation, why do computers use the binary representation and not something we are more familiar with, like decimal? The main reason is that binary is cheap and it ...
Hudson VCC >> CS >> 103 (Fall, 2009)
Variable Arity Procedures Some procedures in Scheme accept a variable number of arguments, for example (+ 1 2 3 4 5 6 7 8 9), (+ 1 2), (+ 1), and (+). How can we equip our own procedures with this capability? lambda is the keyword that we use to cre...
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