Why is the definition of inner product the way it is?
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Why is the definition of inner product the way it is?

I have recently started looking at inner products. However, I'm still struggling to intuitively understand the definition. I am aware that in most ca...

Published: Sep 07, 2026

Do you have to kill Dean?
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Do you have to kill Dean?

I'm in the Sierra Madre (Dead Money add-on), and I was trying to be a nice guy -- I really was. But when the time came that I could decide whether to...

Published: Sep 07, 2026

Is the Thrill Digger minigame deterministic?
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Is the Thrill Digger minigame deterministic?

In Skyward Sword, in the Edlin Volcano area near the Bokoblin tower, there is a cave where one can play the game Thrill Digger. My question is: can one pr...

Published: Sep 07, 2026

Derivative of natural log vs base 10 log
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Derivative of natural log vs base 10 log

Consider the logarithmic function with base $10.$ $$ y=\log{\left(x\right)} $$ wherein the derivative with respect to $x$ is: $$ f'\left(x\right)=\fr...

Published: Sep 07, 2026

Database of FOL statements and proofs
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Database of FOL statements and proofs

Is there a database somewhere of simple FOL statements, with their proofs written out in a Hilbert-style deduction system, or perhaps a tool to take such ...

Published: Sep 07, 2026

The final state of 1000 light bulbs switched on/off by 1000 people passing by
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The final state of 1000 light bulbs switched on/off by 1000 people passing by

There are 1000 light bulbs and 1000 tutors. All light bulbs are off. Tutor 1 goes flipping light bulb 1,2,3,4... tutor 2 then flips 2,4,6,8... tutor 3 the...

Published: Sep 07, 2026

User Calvin Lin - Mathematics Stack Exchange
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User Calvin Lin - Mathematics Stack Exchange

Q&A for people studying math at any level and professionals in related fields

Published: Sep 07, 2026

proving gradient of a function is always perpendicular to the contour lines
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proving gradient of a function is always perpendicular to the contour lines

Can someone give an explanation of how such a proof would go, given a function example: $y = f(x)$

Published: Sep 07, 2026

What's the point of
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What's the point of "A Kingdom Past"?

It seems to indicate that you should replicate the Kingdom, based on this image, but nothing seems to happen when you do. What's the point of this im...

Published: Sep 07, 2026

What is the relation between production, meals and total export price?
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What is the relation between production, meals and total export price?

I'm playing Tropico 4 right now, but I'm pretty sure it's the same for all Tropico games. I've finished the normal campain, but I'...

Published: Sep 07, 2026

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