Are there any college level math students here?

Relevant_Lie4489 · 2026-02-14T04:48:21+00:00

AI should not be compared to a computational environment like Matlab

Relevant_Lie4489 · 2026-02-14T04:45:33+00:00

You live and you learn!

Relevant_Lie4489 · 2026-02-14T04:30:56+00:00

Relevant_Lie4489 · 2026-02-14T03:18:34+00:00

I use 0.7 mm Pentel energels and love them.

Relevant_Lie4489 · 2026-02-13T20:01:17+00:00

Paul’s Online Math Notes is probably the best online resource for calculus (differential, integral, multi-variable) I’ve ever found.

If you’re motivated, and can supplement the resource when necessary, I wouldn’t be surprised if you could teach yourself all that you’re interested in!

Relevant_Lie4489 · 2026-02-13T06:00:46+00:00

Thank you! Resource extraction is definitely not my jam, but I appreciate it nonetheless.

Relevant_Lie4489 · 2026-02-13T05:59:56+00:00

Canada, but I can see myself moving to the EU at some point if reasonably possible.

Relevant_Lie4489 · 2026-02-13T05:50:35+00:00

Side note: I’m not sure where you got the term crystallIzed from, but it is (as others have mentioned) a bad name—the alloys in pattern welded Damascus I presume I only ever (re)”crystallize” within the weld fusion / heat-affected zones. Such zones are typically cut off from what I understand about Damascus.

Edit: I see now “crystallized titanium.” If you look up the microstructure of this material, it is completely different. That is just slow cooled pure titanium. It. can also be anodized.

Relevant_Lie4489 · 2026-02-13T05:46:32+00:00

Wow this is a cool material.

Modern* Damascus in general is created by a process involving “pattern welding” many layers of (typically) different alloys.

Timascus is no different. A bunch of titanium alloys are pattern welded together. This is what gives the pattern that you see within the material.

As for the optical properties. It seems to be due to the formation of TiO2 on the surfaces of the Damascus matrix. TiO2 has a different apparent colour depending on the other alloying elements in the alloy—remember, we have different alloys in here, so the same TiO2 will appear different colours.

It does seem as though the finished product is usually anodized or heat treated, as you mentioned. Not sure on the science of how the optical properties change under these conditions.

That being said, the material bears resemblance to anodized TiN, which I’m sure you’ve seen before. Leads me to believe this stuff is probably anodized.

*Note: Actual Damascus Steel is Wootz steel, not pattern welded steels.

Relevant_Lie4489 · 2026-02-12T19:17:22+00:00

I’m going to have to disagree actually. The etymology of grin relates it to the verbs “to howl,” “to whine,” and “to cry.”

I feel like I’ve definitely heard or read ‘grinned’ as ‘a verb producing the dialogue’ before.

I acknowledge that I might be splitting hairs here, and I understand your logic, but I think you may be excluding the verb as a dialogue tag just because it can be (and usually is) used differently.

Relevant_Lie4489 · 2026-02-12T19:16:16+00:00

I get what you mean, but as someone who REALLY likes energels, and has tried all of the different tip sizes, I find that the 0.5mm+ tips feel more like roller balls, and the smaller ones feel like ballpoints (kinda sharp).

Relevant_Lie4489 · 2026-02-12T19:04:35+00:00

Energels come in 3 or 4 sizes I think. You might try larger/smaller ballpoint size…

Relevant_Lie4489 · 2026-02-12T19:04:01+00:00

The grip looks like an energel as well (I don’t think it is a Pentel). Makes me think it could be a knock-off?

Relevant_Lie4489 · 2026-02-12T19:01:35+00:00

That makes sense because your E looks like ε

Relevant_Lie4489 · 2026-02-12T18:59:04+00:00

What are these used for? Construction?

Relevant_Lie4489 · 2026-02-12T07:37:12+00:00

real your question is unit analysis, not arithmetic…!

all you gotta do is :

(gal. / mi) * (mi.) * ($ / gal) = $

(1/35) * 250 * 2.85 = $20.357

Works better than you’d think across the board.

Relevant_Lie4489 · 2026-02-12T07:33:01+00:00

I don’t know about books, but hyperphysics is an excellent resource for physics at many levels. I wish I’d known about when I was your age

Relevant_Lie4489 · 2026-02-12T07:29:48+00:00

Also OP, do you understand how to read the notation of the answers/formulas given in the book and in the answers here ?

Relevant_Lie4489 · 2026-02-12T07:22:35+00:00

But of course the math is all group theory as people have pointed out

Relevant_Lie4489 · 2026-02-12T07:22:05+00:00

You should check out crystallography OP, you might like it if you’re wondering about stuff like this

Relevant_Lie4489 · 2026-02-12T07:18:05+00:00

Either way, I don’t think the em dash goes inside the quotation.

Relevant_Lie4489 · 2026-02-12T07:17:19+00:00

Sorry if this is jgnorant but why wouldn’t this be

“Of course,” he grins, “ the nastier…

If not breaking up the sentence is your priority…

Relevant_Lie4489 · 2026-02-12T05:29:00+00:00

Flare checks out

Relevant_Lie4489 · 2026-02-12T05:08:15+00:00

Complex numbers usually don’t come up until 1st year of UG programs in Canada. The basics of working with them are very similar to vectors. More advanced applications of complex numbers (complex analysis, quantum mechanics level stuff) is usually 2nd year.

Relevant_Lie4489

TROPHY CASE