SammyS's latest activity
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Pfff... if you name yourself after a large number, you should do better on that. Try: https://www.mathsisfun.com/calculator-precision.html -
SammyS reacted to Gavran's post in the thread Problem involving ordinary differential equation with
Informative.
The substitution ## y_1=10^y ## simplifies the equation $$ 10^ydy=\frac{dx}{x\ln10} $$ to the equation ## dy_1=dx/x ##. The general case... -
May I respectfully submit that the article did not have any intention to compare human solutions with AI solutions nor indeed to compare...
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SammyS reacted to PeroK's post in the thread Undergrad Solving ##a^b## and ##b^a## via the Lambert Function with
Like.
Here's an analysis. We start with a more general equation:$$a^x + x = b$$$$(b - x)a^{-x} = 1$$$$(b-x)a^{b-x} = a^b$$We want to use the... -
SammyS reacted to Herman Trivilino's post in the thread Undergrad Potential energy of a system of particles with Like.
By convention we usually assume that as the separation distance increases beyond all bounds, the potential energy approaches zero...
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This is when the OP discovers what happens to puzzle threads after they are solved - they become a home to this sort of enlightened...
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Something I didn't learn in school (or maybe just misremembered) is that Magellan did not return to Spain, he was killed in the...
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Or, let the mathematics speak for itself. See post #12 by Steve.
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SammyS reacted to berkeman's post in the thread Find the acceleration of a block (some sort of double Atwood machine?) with Like.
I sent you a DM with tips for posting math here at PF using our LaTeX engine. :smile:
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There's a curious parallel here. When great authors invent their characters and where they reside, they often find that the story...
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Yes, I agree that the x-axis as drawn is bad. The x-axis (toward the east) should be into the page (perpendicular to the y-z plane)...
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SammyS reacted to Lnewqban's post in the thread Why must residential electrical systems be connected to Earth (soil)? with Like.
Wherever persons can be in contact with electricity with voltage above 60 volts, the salty fluids inside their bodies can become a...
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OK. We don't know. Neither do you. That's how it goes with experiments that aren't scrupulously controlled. The fact that they all...
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SammyS reacted to DaveE's post in the thread Undergrad What is the most impactful way of introducing Laplace transforms? with Like.
It is THE main tool for linear systems analysis (often non-linear systems too). Analog circuit design, filter design, control systems...
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What you've written isn't right at all. I understand what you are trying to do. I just don't see the point of making it look like a...
