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Gavran replied to the thread Number trick.

Great. The formula can also be written in the form of ## (10_d-1_d)\cdot11_d\cdot11_d ##.

Today, 4:10 AM
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Gavran reacted to anuttarasammyak's post in the thread Number trick with Informative.

Interesting. In general case of base-d system, the result value is ## d^3+d^2-d-1=(d-1)(d+1)^2## For 2-digit it is ##(d-1)(d+1)##

Today, 4:09 AM
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Gavran replied to the thread Number trick.

I get ## 1089 ##. There is a number ## a=100x+10y+z ## and there is a number ## b=100z+10y+x ## where ## a\gt b ##. ##...

Yesterday, 5:09 AM
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Gavran reacted to TensorCalculus's post in the thread Praise 2025 PF Member Awards Ceremony with Like.

Awh thank you that means so much :cry:❤️‍🩹

Tuesday, 1:31 AM
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Gavran reacted to Greg Bernhardt's post in the thread Praise 2025 PF Member Awards Ceremony with Like.

It's been another incredible year spent on PF! Thanks to all contributing members for making it special! This year we're coming upon 25...

Monday, 1:58 AM
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Gavran replied to the thread Praise 2025 PF Member Awards Ceremony.

It was an honor. Congratulations, @PeroK, @Ibix, @Orodruin, @kuruman, @DaveE, @fresh_42, @Charles Link, @Baluncore, @Chestermiller...

Monday, 1:56 AM
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Gavran reacted to jedishrfu's post in the thread Paul Hinds has passed with Informative.

Dear Robert, My condolences to you and your family. He was a great contributor to the PF community. We will miss him. I will miss his...

Monday, 1:04 AM
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Gavran reacted to Hill's post in the thread Undergrad Find the Number of Triangles with Like.

I enjoyed thinking about it. Just for fun of finding an alternative approach.

Jan 1, 2026
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Gavran replied to the thread Undergrad Find the Number of Triangles.

I can solve the problem by using a combination of brute force counting and symmetry.
Dec 31, 2025
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Gavran reacted to Greg Bernhardt's post in the thread Mathematics Award with Informative.

Congrats @fresh_42 @PeroK @martinbn @FactChecker @DaveC426913 @WWGD @Agent Smith @mathwonk @Charles Link @anuttarasammyak @pasmith...

Dec 22, 2025
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Gavran reacted to Greg Bernhardt's post in the thread Homework Helper Award with Informative.

Congrats @kuruman @PeroK @erobz @Orodruin @fresh_42 @TSny @Lnewqban @WWGD @anuttarasammyak @renormalize @Gavran @FactChecker...

Dec 22, 2025
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Gavran replied to the thread Why Are You Still Here? A Curious Question.

“Dum vivimus, discimus” or “While we live, we learn”

Dec 18, 2025
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Gavran reacted to bob012345's post in the thread High School Area of Overlapping Squares with Like.

I worked out the overlap of the two squares as a function of angle. Given ##a## is the half edge length of the original square and...

Dec 15, 2025
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Gavran reacted to jrmichler's post in the thread What mathematics software should engineering students use? with Informative.

My jobs have been mostly analyst, problem solver, mentoring young engineers, and project engineering. I have used MATLAB extensively...

Dec 12, 2025
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Gavran reacted to nomadreid's post in the thread Undergrad Erroneously finding discrepancy in transpose rule with Like.

Thanks very much, Gavron! I see my error now. I had not rid myself of my prejudice that isomorphism preserved all structures; I...

Dec 9, 2025

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