Recent content by 1940LaSalle
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Undergrad Am I misapplying something here? (Exponentials; Euler's identity)
Thanks- 1940LaSalle
- Post #4
- Forum: Calculus
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Undergrad Am I misapplying something here? (Exponentials; Euler's identity)
We all know from Euler's identity that exp(iπ)=-1. And from the laws of exponents, exp(2iπ)=(exp(iπ))²=1. Further, for any real number a≠0, a⁰=1. Then, since two things equal to the same third thing are necessarily equal, exp(2iπ)=(exp(iπ))²=a⁰=1. Here's where I'm wondering if I've stripped...- 1940LaSalle
- Thread
- Replies: 3
- Forum: Calculus
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Undergrad Time interval terminology
The word "day" has at least two if not more common connotations: 1. The interval required for earth to make one rotation about its axis; i.e., ~24 hours. 2. The variable interval between sunrise and sunset. I'm looking for unambiguous terms to differentiate the two such that one could say, "On...- 1940LaSalle
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- Replies: 6
- Forum: Astronomy and Astrophysics
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Review/refresher of college physics: textbook recommendations request
Largely what the title says. I'm a retired chemical engineer, but for my own re-education, I'd like to review my college physics courses. Those were more than 50 years ago, and a portion has slipped away from lack of need/use. So...how about recommendations for general (say, 200 or 300 level)...- 1940LaSalle
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- Replies: 4
- Forum: Science and Math Textbooks
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Graduate Analemma layout and proportions on a sundial
I want to lay out an analemmatic sundial, with a true figure 8 analemma for the gnomon position instead of the more common date marks. Everything I read shows that the ordinates of the points on the curve are a function of the sun's declination on a given date. Further, I'm also given to...- 1940LaSalle
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- Replies: 1
- Forum: Astronomy and Astrophysics
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Thermal properties of ice cream
Apologies. Didn't see this thread until today and didn't see the date, either. Anyhow: I know of two articles published about 9 years ago that address these topics pretty well. Send me a PM with your e-mail and I can provide PDFs of these articles if you're interested.- 1940LaSalle
- Post #6
- Forum: Materials and Chemical Engineering
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Thermal properties of ice cream
Assuming you're after fairly rough-and-ready engineering values, I'll try offering some comments: 1. The enthalpy of fusion is a rather weak function of temperature. For most engineering purposes, assuming it's temperature independent is not a bad approximation. For the rest of the...- 1940LaSalle
- Post #4
- Forum: Materials and Chemical Engineering