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las3rjock

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Conventional holography proves this is possible. Portions of the image of a hologram can appear at points both closer and farther than the plane of the hologram itself. Furthermore, reflection holograms can be recorded in opaque media, so the parts of the hologram that form farther the hologram plane appear to be "inside" the hologram. See, for example, this photograph of one of the first three-dimensional holograms: http://en.wikipedia.org/wiki/File:Hologrammit.jpg . The hologram plane is demarcated by the sharp transition from red to black at the bottom, but the object in the hologram appear to be behind the hologram plane.

"Most of us who went to American grade schools can remember long hours of copying articles out of encyclopedias. 'The abode of the penguin is a hard and difficult one.' It was called doing research. Then in college we found that it was also called plagiarism."

-- Mary Claire van Leunen, "A Handbook for Scholars"

For real analysis, I'd recommend that you pick up a copy of "baby Rudin" regardless, but for learning real analysis, I'd recommend a book like "A First Course in Mathematical Analysis" by Burkill. Other viable options include "Calculus" by Spivak (it's really a book on real analysis at a level somewhere between a typical freshman calculus book and "baby Rudin"), "Real Mathematical Analysis" by Pugh, or "Yet Another Introduction to Analysis" by Bryant.

1. The Department of Energy appears in at least three places in the chart: once under "National defense", once under "General science", and once under "Energy". I assume the amount under national defense consists of the allocations for nuclear weapons stockpile stewardship and nuclear reactor production for the U.S. military.

I will agree that it is strange that the Federal Bureau of Investigation has been categorized as "National defense"; the rest of the Department of Justice seems to have been catergorized as "Administration".

2. One could categorize Medicare with Health, but one can already do that with the chart as shown by considering those two rectangles together. It is interesting to see that Medicare, by itself, has a larger allocation than everything else in the Department of Health and Human Services (and there are pieces in the Health rectangle that probably belong in the Medicare rectangle, e.g. "Grants to states for Medicaid" and "DoD Medicare-eligible retiree health care fund").

3. The Department of Veterans Affairs is a Cabinet-level department independent from the Department of Defense.

4. It looks like the Department of Justice and the Department of Treasury have been lumped together under "Administration".

I will agree that some aspects of this breakdown are strange, but I don't think it defeats the purpose of this chart.

A few of my favorites, chosen from computer science and from physics:

D. E. Knuth, "An empirical study of FORTRAN programs," Software: Practice and Experience, vol. 1, no. 2, pp. 105-133, 1971. http://dx.doi.org/10.1002/spe.4380010203

  A choice quote: "A first idea for obtaining 'typical' programs was to go to
  Stanford's Computation Center and rummage in the waste baskets and the recycling
  bins.  This gave results but showed immediately what should have been obvious:
  waste-baskets usually receive undebugged programs."
D. E. Knuth, "The errors of TeX," Software: Practice and Experience, vol. 19, no. 7, pp. 607-685, 1989. http://dx.doi.org/10.1002/spe.4380190702
  Knuth recounts and analyzes the process of developing the TeX computer typesetting
  system.
A. Einstein, "Zur elektrodynamik bewegter körper," Annalen der Physik, vol. 322, no. 10, pp. 891-921, 1905. http://dx.doi.org/10.1002/andp.19053221004
  Einstein's seminal paper "On the Electrodynamics of Moving Bodies" that proposed
  the theory of special relativity.  A good English translation is available online
  at http://www.fourmilab.ch/etexts/einstein/specrel/specrel.pdf

I remember that chapter from Surely You're Joking, Mr. Feynman quite well. One of my favorite passages is the following, which is the source of the title of the chapter:

  We came to a certain book, part of a set of three supplementary books published by
  the same company, and they asked me what I thought about it.

  I said, "The book depository didn't send me that book, but the other two were nice."

  Someone tried repeating the question: "What do you think about that book?"

  "I said they didn't send me that one, so I don't have any judgment on it."

  The man from the book depository was there, and he said, "Excuse me; I can explain
  that. I didn't send it to you because that book hadn't been completed yet.
  There's a rule that you have to have every entry in by a certain time, and the
  publisher was a few days late with it. So it was sent to us with just the covers,
  and it's blank in between. The company sent a note excusing themselves and
  hoping they could have their set of three books considered, even though the third
  one would be late."

  It turned out that the blank book had a rating by some of the other members! They
  couldn't believe it was blank, because [the book] had a rating. In fact, the
  rating for the missing book was a little bit higher than for the two others. The
  fact that there was nothing in the book had nothing to do with the rating.
[dead] 17 years ago

Your answers to questions 1 and 2 contradict each other.

[dead] 17 years ago

The ad worked fine for me (Google Chrome 2.0.180.0 on Windows 7).

I've run into some weird bugs trying to perform calculations in Wolfram|Alpha. For example, I cannot come up with any query for the general question "human height vs Empire State Building" that works, even though the separate queries "height Empire State Building" and "height average male" return answers with units of length.