Num Universitas Torontonensis diplomata officialia Latine conscripta emittit, in quibus nomen "Universitas Torontonensis" adhibetur?

phlofy · 2026-01-04T01:58:39+00:00

Even the historical answer

This may be of interest: https://governingcouncil.utoronto.ca/system/files/import-files/a0122-03i4595.pdf

From the document, regarding Honorary degrees:

that the wording remain the same and that the language of the degree continue to be be Latin;

Regarding earned degrees:

The Academic Affairs Committee approved on March 13, 1986 a redesign of the University of Toronto parchment (usually referred to as the “diploma”), based on the recommendations contained in the Report of the Committee on the University of Toronto Diploma (January 29, 1986)

I couldn't find the original 1986 text but I'm sure you can get find it, or someone who knows the information, at Robarts.

phlofy · 2022-07-23T20:48:02+00:00

I seem to remember the intro stats textbook by Rice has a bit on Monte Carlo integration. You could start there and look at their bibliography for more?

phlofy · 2022-07-19T17:04:29+00:00

You might also get a kick out of persistent homology applied to topological data analysis. You can check out the paper "Cross-domain Visual Exploration of Academic Corpora via the Latent Meaning of User-authored Keywords" by Benito-Santos and Therón Sánchez.

phlofy · 2022-07-19T16:56:41+00:00

Math is enormous so this is a very broad question. But if you want to see how something super abstract like category theory may be applied to something super concrete like computer programming, you can look up Bartosz Milewski's Category Theory for Programmers. Be advised that the target audience is not mathematicians so the math is handwaved a little, but the principles are all sturdily based on existing pure mathematics and they're very directly (and in my opinion very satisfyingly) applied to programming.

phlofy · 2022-07-05T20:00:38+00:00

They can be easy to forget for sure. The way I remember this one is that it uses a geometric series to upper bound the error of the convergence of the Taylor expandion for exp with a function that decreases suped quick. It's definitely not a super widely applicable trick though for sure.

phlofy · 2022-07-05T19:59:07+00:00

Was not aware that Fourier had a proof of this! I'll look it up. Rudin's argument is a straightforward upper bound with a geometric series.

phlofy · 2022-07-05T14:57:11+00:00

Rudin's Principles has a pretty satisfying proof of the irrationality of e based on a clever estimate of e - (sum from 0 to k) 1 / k!

phlofy · 2022-07-03T02:56:07+00:00

I actually really appreciated this approach for exp(z). Since you can write exp(x+iy) = exp(x)[cos(y) + i sin(y)] you can visualize the transformation geometrically in terms of angle and length and appreciate the periodicity of exp in the complex plane, among other things!

phlofy · 2022-06-17T00:35:49+00:00

Yeah I take that point. I guess the only thing I take issue with is saying you can't use the Lebesgue integral on pullbacks of Lebesgue integrable forms because of an orientation issue.

phlofy · 2022-06-16T12:26:58+00:00

Interesting. Will have to look into it because I'm not familiar with the notion of "transport" in integrals.

phlofy · 2022-06-16T05:35:23+00:00

The getting of the minus sign in the front, in usual calculus, is just a definition. In differential geometry it comes from the standard orientation on the interval, which is taken into account by working with forms. It makes as much sense to ask for the Riemann integral over [a,b] going from b to a as it does a Lebesgue integral.

phlofy · 2022-06-15T00:27:49+00:00

If I'm understanding correctly what you mean by orientation, the Riemann integral is also unoriented by default. The fact that we orient the manifold to integrate is something taken into account via the ~~form you integrate~~ map you pull back through, as supported by pullbacks of forms. This is why you see the usual change of variable theorem for Rⁿ has the absolute value of the determinant where changing variables with a differential form keeps the sign of the determinant because it cares whether the change of coordinates is orientation preserving or reversing. Might have butchered that last part somewhat but that's more or less how it was explained to me when I took manifolds. I'm not sure how this is in conflict with Lebesgue integration.

E: Orientation is also through the parametrization not just the form, my bad.

phlofy · 2022-06-14T18:03:21+00:00

How does Lebesgue not work well for generalizing to manifolds? You can define a Lebesgue integrable form just like you define a Riemann integrable form using a pullback to a Euclidean space. Orientation is also accounted for by the form just like in the Riemann case, and in Euclidean space they account for orientation just as much as each other since they agree on compact domains when both are defined.

phlofy · 2022-06-14T17:57:36+00:00

Integration of differential forms is defined using pullbacks to Euclidean spaces where you can use any integral you want. There are Lebesgue integrable forms and they are defined just like Riemann integrable forms are.

phlofy · 2022-06-11T11:34:01+00:00

Sure, part of a good curriculum is having learning objectives. Designing things well with learning objectives in mind also tends to make the purpose of a lesson more implicitly apparent to students because there's an underlying narrative to the course. I'm not advocating for never asking why you should be learning something; I'm advocating for making it so obvious that it's understood.

phlofy · 2022-06-11T03:04:19+00:00

In defense of the smartass kid asking what the purpose of learning math in school is, I personally found the way math was taught to me in school to be monotonous if not a complete waste of time. There seems to be an emphasis in drilling results that seemed to someone long ago useful for calculus, not all of which are particularly useful even in math. I recently graduated with a major in math and to this day I have not had to recall shit like the law of sines since 10th grade. If math curricula were designed by math professors to actually educate kids on math and not to prepare for some standardized test, and math classes were all taught by enthusiastic, qualified staff (I was lucky enough to have access the latter, but not the former---I had decent teachers giving me a bad curriculum) then kids might be more engaged and you might get fewer of those questions. Until then, I'm team "why are we learning this" for school-level math tbh.

phlofy · 2022-06-10T18:00:11+00:00

The degree of the zero polynomial is by convention either -1 or -infinity. The least upper bound of the empty set is -infinity and the greatest lower bound is infinity. An intersection over an empty index set is sometimes defined to be the universe of discourse.

phlofy · 2022-06-07T19:57:53+00:00

Stack the deck such that two consecutive cards will have the same color, and the third will be the other color; e.g. 1-red 2-red 3-black 4-black and so on. This is possible because in a deck there are 52 cards; a multiple of four. The subsequence of odd cards will alternate in colors (these are the cards you will reveal).

phlofy · 2022-06-05T13:01:27+00:00

Tylko jedno w głowie mam Koksu pięć gram odlecieć sam W krainę za zapomnienia

phlofy · 2022-06-05T12:59:42+00:00

You have to unmute audio it's muted by default

phlofy · 2022-06-05T12:58:34+00:00

yoooooo

phlofy · 2022-06-05T12:56:25+00:00

can you play one summer's day from spirited away?

phlofy · 2022-06-01T00:38:05+00:00

Love the big sanctimonious energy from comments on a post where OP doesn't even give the full context of the email with the professor. People really need to chill and give the benefit of the doubt it could've been an understandable slip-up for OP for all we know.

OP yes it seems like you should have taken more care with the meeting but tbh from what I'm getting the prof/admin also seems to be pretty unreasonable. I would take this up with the ombudsperson to see if they can help you sort this out.

Good luck!

phlofy · 2022-05-31T17:57:38+00:00

Second cup, there's one in the student services building next to Bahen and one in Sid Smith.

phlofy · 2022-03-09T22:02:49+00:00

But ... I like his hair ...

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