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Parameterization of Surfaces (cont.) - Essay - Mathematics - Prof. Adrian Down

As we have said before in this class, there is no analogy to unit speed parameterization for surfaces. The definitions associated with parameterizing a surface may initially seem overly pedantic, b...
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Mathematics
Mathematics

Orthogonality - Essay - Mathematics - Prof. Adrian Down

We would like to approximate a given function b(x) on the interval [−1, 1] by a polynomial function of the form, a(x) = u1 u2x . . . unxn−1 In this case, the notion of squared deviation takes...
jannine
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Mathematics
Mathematics

Ordinary Differential Equations - Essay - Mathematics - Prof. Adrian Down

Recall that the general solution of a system of n first-order differential equations contains n constants. These constants must be determined from the given conditions on the system.
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Mathematics
Mathematics

Number Systems - Essay - Mathematics - Prof. Adrian Down

I derive a general iterative method to solve BVPs. I consider the case of a differential equation, which I write as A g() = 0 A represents the coefficients of the linear components of the diffe...
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Mathematics
Mathematics

Numerical Solutiont to ODEs - Essay - Mathematics - Prof. Adrian Down

Our general approach to obtaining numerical solutions to differential equations will be to replace the differential equations by difference equations. We have already seen this approach several tim...
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Mathematics
Mathematics

L'Hospital Rule - Essay - Mathematics - Prof. Adrian Down

Comes as a direct consequence of the Mean Value theorem. Useful for computing limits of the form f(x) g(x) where f(x), g(x) ! 0. Connected to limx!a f0(x) g0(x) . Assume f(a) = g(a) = 0, and you wa...
jannine
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Mathematics
Mathematics

Linear ODEs with Constant Coefficient - Essay - Mathematics - Prof. Adrian Down

In the case that f  0, the ODE (1) is homogeneous. The solutions involve an anti-derivative P(x) of p(x),
jannine
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Mathematics
Mathematics

Global Curve Theory - Essay - Mathematics - Prof. Adrian Down

Consider two surfaces M and N, with a function f that maps from M to N. An isometry is a function f that preserves distances on M and N. Isometries preserve all properties of the local intrinsic ge...
jannine
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Mathematics
Mathematics

Fundamental Theorem of Calculus - Essay - Mathematics - Prof. Adrian Down

Theorem: if f is continuous on [a, b], then 9x 2 [a, b] such that f(x) = ¯ f = 1 b-a R b a f(x)dx Proof: f continuous ! f attains a minimum, call it m and a maximum, call it M on [a, b]. 8x 2 [a, b...
jannine
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Mathematics
Mathematics

Fundamental Theorem of Curves and Non-Unit Speed Curves - Essay - Mathematics - Prof. Adrian Down

1.1 Basis orientation Recall that the triple product of three vectors is defined as, [A,B,C] = hA × B,Ci Definition (Handedness). If { A,B,C } is a basis of R3, { A,B,C } is called right handed (le...
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Mathematics
Mathematics
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5

Answers

"What identifiers are used by GSM and why? "

several identifiers are used by GSM Please state details
30/07/2013

3

Answers

Explain the features of Reed-Solomon Codes

Reed-Solomon Codes are used for data recovery.Please state details
30/07/2013

3

Answers

Explain the Implementation of Objective-C.

The IPhone programming language is objective C. Please state its implementation.
29/07/2013

1

Answers

What are the Existing Ad hoc Routing Protocols?

Different Ad hoc routing protocols are already being implemented. State the names
29/07/2013

0

Answers

What are the Existing Ad hoc Routing Protocols?

Different Ad hoc routing protocols are already being implemented. State the names
29/07/2013

4

Answers

Mention the techniques used for applying Solid fertilizers.

Soil fertilizers are available in sold form. Please mention some techniques that can be used for adding solid fertilizers in soil.
29/07/2013

3

Answers

What is meant by reduction reaction?

Reduction reactions are constantly taking place in the soil. Please give the basic concept of reduction reaction.
29/07/2013

1

Answers

Mention the characteristics of Global Strategy.

To make global decisions for an organization Global strategy is used. Please enlist some of the main properties that should be present in a Global Strategy to manage organization issues globally.
29/07/2013

3

Answers

What is meant by Value Density?

Marketing is carried out by calculating certain parameters. Please mention the concept of Value Density with reference to marketing promotions.
29/07/2013

2

Answers

Explain the different classification of soil.

Soil is the uppermost layer of the earth surface. Please give details about the various classes of soil and also mention the composition of different material present in these soils.
29/07/2013
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3

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What are the symptoms of ALS?

Answered:     1. Symptoms include ,Reduced motor movements, shrinking of a limb and muscles, weak voluntary movements.      2. It is not contagious.     3. It ...
19/08/2014
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