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Post by Mostly Harmless (flufflepuff) on Sept 12, 2014 8:16:53 GMT -5
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Post by Celestial on Sept 23, 2014 13:54:07 GMT -5
...I have no idea. xD
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Post by Deleted on Sept 25, 2014 0:08:37 GMT -5
A particularly amusing excerpt from one of my dragons' journals.
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Post by Twillie on Oct 8, 2014 19:17:06 GMT -5
Works Cited
Landmark Cases of the Supreme Court. Street Law, Inc, 2002. Web. 7 October 2014.
McBride, Alex. “McCulloch vs. Maryland (1819).” Pbs.org. n.d.
Sarver. “8 Implied Powers and the Supremacy of the National Government.” PDF file.
--
For an essay XP
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Post by Coaster on Oct 9, 2014 0:32:55 GMT -5
0. Review questions
(a) Distinguish between the terms data fitting, interpolation, and polynomial interpolation.
(b) Distinguish between (discrete) data fitting and approximating a given function.
(c) What are basis functions? Does an approximant v(x) that is written as a linear combination
of basis functions have to be linear in x?
(d) An interpolating polynomial is unique regardless of the choice of the basis. Explain why.
(e) State one advantage and two disadvantages of using the monomial basis for polynomial
interpolation.
(f) What are Lagrange polynomials? How are they used for polynomial interpolation?
(g) What are barycentric weights?
(h) State the main advantages and the main disadvantage for using the Lagrange representation.
(i) What is a divided difference table and how is it constructed?
(j) Write down the formula for polynomial interpolation in Newton form.
(k) State two advantages and two disadvantages for using the Newton representation for
polynomial interpolation.
(l) Describe the linear systems that are solved for the monomial basis, the Lagrange representation,
and the Newton representation.
(m) Describe the connection between the kth divided difference of a function f and its kth
derivative.
(n) Provide an expression for the error in polynomial interpolation as well as an error bound
expression.
(o) How does the smoothness of a function and its derivatives affect the quality of polynomial
interpolants that approximate it, in general?
(p) Give an example where the error bound is attained.
(q) When we interpolate a function f given only data points, i.e., we do not know f or its
derivatives, how can we gauge the accuracy of our approximation?
(r) What are Chebyshev points and why are they important?
(s) Describe osculating interpolation. How is it different from the usual polynomial interpolation?
(t) What is a Hermite cubic interpolant?
... not like I have to actually do the questions in this, just the readings, but there's a lot of mathwall in this book and this is just the comprehension question
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Post by Twillie on Oct 19, 2014 22:36:27 GMT -5
^What he said. |
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Post by Avery on Oct 19, 2014 22:48:11 GMT -5
He spies across the room the most beautiful woman in history... Zylaa. Showing Skype chat why Medieval tags where you didn't bracket the character name before the tag are now hilarious. XD |
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Post by Celestial on Oct 23, 2014 5:42:38 GMT -5
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Post by icon on Dec 10, 2014 14:24:24 GMT -5
“Oho, that is a burn.”
Hm, what could this possibly be from?
No actually, what is it from, I don't remember oh wait yes I do
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Post by Shinko on Jan 8, 2015 14:32:13 GMT -5
XD My work notes are probably not decipherable to anyone other than me.
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Post by icon on Jan 10, 2015 17:38:47 GMT -5
Homework assignment. Translating things isn't so bad when you can find other people's translations of the text in question online.
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Post by Coaster on Jan 10, 2015 17:52:26 GMT -5
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Post by Deleted on Jan 10, 2015 17:53:10 GMT -5
-*-*-*-
Indeed it was. :'P </boring paste>
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Post by Shinko on Jan 12, 2015 14:52:08 GMT -5
Ahahaha, was looking into something for work- we got an email from Poland trying to place an order for $3000 dollars worth of books from the museum, but the person was putting the stipulation on the thing that we had to send through Seadex- I was checking that this place actually existed for my boss and that the information they gave us about it was correct, since the email came off slightly shifty.
Turns out Seadex does exist, but the contact email the person gave us for them is in fact wrong. = D Huh, go figure. You're welcome for potentially saving the museum a lot of money, boss!
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Post by Celestial on Jan 17, 2015 20:43:46 GMT -5
NEVAR, CARRIE. You're not my mum!
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