Activity for tommi
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Edit | Post #296606 | Initial revision | — | 21 days ago |
| Answer | — |
A: Unlike AI, why don’t human mathematicians explain how they proved something? 1. Introspection is difficult. 2. Your first quote is from an advertisement from an AI company about what their AI does. It is not clear at all that it actually provides information about how it reasoned; rather, just like humans, it gives a post hoc explanation that might or might not correspon... (more) |
— | 21 days ago |
| Edit | Post #296604 | Initial revision | — | 21 days ago |
| Answer | — |
A: From an expected-value standpoint, is gambling the same as investing? Gambling might refer to a random system or a game of skill, often with unpredictable elements. The value of a stock depends on an extremely complicated (financial) system. In some cases, gambling is done on closed, formal mathematical systems where you can calculate or find out the expected val... (more) |
— | 21 days ago |
| Edit | Post #296175 | Initial revision | — | 4 months ago |
| Answer | — |
A: Area of a (planar) quadrilateral using two opposite sides and four angles First, you seem to be using the same letters to signify both corner points and the corresponding angles, which to me is nonstandard. Not a serious issue. Since you guessed the formula, I would start by checking that it works in various cases, and in particular checking that it gives the same o... (more) |
— | 4 months ago |
| Edit | Post #296093 |
Post edited: specifed that it is Laplace transform also in the text |
— | 4 months ago |
| Edit | Post #296120 | Initial revision | — | 4 months ago |
| Answer | — |
A: Gender distribution probability There are essentially three perspectives you can take: 1. Without further information, any group is as likely to have more of either sex. 2. Consider a group that has you, a male student, in it. It is now more likely for it to be dominated by men, since it has one man (you) and the remainin... (more) |
— | 4 months ago |
| Edit | Post #296105 | Initial revision | — | 4 months ago |
| Answer | — |
A: Otherwise similar functions with opposite parity, were they considered, are they useful? Case of polynomials I am not familiar with your particular suggestion, so some general remarks concerning the usefulness of transformations. Typically, you would like the transformation to preserve some property of the function, or maybe transform some calculation into a different type of calculation, and it shou... (more) |
— | 4 months ago |
| Comment | Post #296093 |
Maybe there is some theorem that specifies the property you have and gives a sufficient condition for it to hold. Referring to such a theorem in the question might make it easier to answer, if such a theorem exists. (more) |
— | 4 months ago |
| Suggested Edit | Post #296093 |
Suggested edit: specifed that it is Laplace transform also in the text (more) |
helpful | 4 months ago |
| Edit | Post #296070 | Initial revision | — | 5 months ago |
| Answer | — |
A: Can expectation be calculated if the events aren't numbered? Given that the expectation is simply an integral (or, rather, "simply"...), you can certainly generalize it to any circumstance where integration makes sense. For example, suppose you roll two dice, and take the result as a random vector $(x(\omega), y(\omega))$. Then we can ask about the expecte... (more) |
— | 5 months ago |
| Edit | Post #295922 | Initial revision | — | 5 months ago |
| Answer | — |
A: The Fenchel–Moreau theorem; or, how to generalize convex conjugate intuition to the N-dimensional case? It has been a bunch of years since I have thought about this stuff, but let me see if I still remember something. In convex analysis, it is helpful to think of the function's epigraph, which (roughly speaking) is defined as the graph and all the points above it. The function has to be (extende... (more) |
— | 5 months ago |
| Edit | Post #295817 |
Post edited: added first formula in Latex |
— | 6 months ago |
| Suggested Edit | Post #295817 |
Suggested edit: added first formula in Latex (more) |
helpful | 6 months ago |
| Comment | Post #294950 |
Morjesta, is there a factual mistake in the response? I am out of practice, so it is possible, but I think the original formulation was vague and could be misunderstood, but I tried to edit it to be more explicit. Maybe I edited in the wrong place. (more) |
— | 10 months ago |
| Comment | Post #294950 |
What I tried to write is that the power set of the empty set has two subsets: The empty set is a subset and the power set of the empty set is another. A set is also its own subset. I hope it is clearer now. (more) |
— | 10 months ago |
| Edit | Post #294950 |
Post edited: clarified further |
— | 10 months ago |
| Edit | Post #294950 |
Post edited: |
— | 10 months ago |
| Edit | Post #294950 |
Post edited: fixed a mistake |
— | 10 months ago |
| Edit | Post #294950 | Initial revision | — | 10 months ago |
| Answer | — |
A: How many elements are present in the subset of null set ? The empty set (or the null set) has no elements. Notation: {} The empty set has a single subset, which is the empty set. Any other set has at least one element in it, so it can not be a subset of the empty set. Hence the empty set is the only subset of itself. The power set of the empty set... (more) |
— | 10 months ago |
| Edit | Post #294737 | Initial revision | — | 11 months ago |
| Answer | — |
A: Papers which solve the summary of my paper involving expectations, hausdorff measure, prevelant/shy sets, partitions, samples, pathways & entropy. I am not an expert on what you are doing, so what I can offer is some ways of maybe finding relevant literature. 1. Snowball search means look at your references, and looking at what they refer to, and, in turn, who refers to them (you can find this in Google scholar and other places), and ... (more) |
— | 11 months ago |
| Comment | Post #294730 |
I hope so. It is still a niche question, but I wish you luck. (more) |
— | 11 months ago |
| Comment | Post #294730 |
I suggest you edit the title of the question so that someone who is an expert on the field your paper is in might be attracted by the title.
You might also want to tell what kind of literature search you have done thus far and how close you have come. This shows effort on your part and makes i... (more) |
— | 11 months ago |
| Comment | Post #293706 |
Thanks for the response. Does the rounding have a systematic effect on the hypothesis testing, as asked? (more) |
— | over 1 year ago |
| Comment | Post #292071 |
Does this have a systematic effect on hypothesis testing, as per the question? (more) |
— | about 2 years ago |
| Edit | Post #291333 |
Post edited: |
— | over 2 years ago |
| Edit | Post #291333 | Initial revision | — | over 2 years ago |
| Question | — |
The effect of measurement accuracy and rounding on hypothesis testing I am checking the temperature I have at home with accuracy of one tenth of a grade (Celsius). The easily publicly available information is temperature in grades, with no decimals. I am doing very basic hypothesis testing: My null hypothesis is that temperatures I measure do not have a systemat... (more) |
— | over 2 years ago |
| Comment | Post #291012 |
Please wait for a while (some days) before cross-posting and link to the previous question in the question body. (more) |
— | over 2 years ago |
| Comment | Post #290576 |
Please add that as (a part of) your answer. (more) |
— | over 2 years ago |
| Edit | Post #290576 | Initial revision | — | over 2 years ago |
| Question | — |
The derivatives of a function at a boundary point I have a function $f \colon [0, L[ \, \to \mathbb{R}$ and I want to use the derivatives of arbitrary high orders of this function at zero. The function is defined on the half-open interval $[0, L[ \, \ni 0$, for an $L >0$. Typically the derivative is only defined on interior points of an inter... (more) |
— | over 2 years ago |
| Edit | Post #290160 | Initial revision | — | almost 3 years ago |
| Answer | — |
A: $\left(\forall \varepsilon >0: |a-b| < \varepsilon\right) \iff a=b$ vs. $\left(\forall \varepsilon > 0: a \le b + \varepsilon \right) \iff a \le b$ The absolute value version is equivalent to having both $a b - \varepsilon$, both for all positive epsilons. To see this, use the definition of the absolute value. Also, $a 0$ and $a \le b + \varepsilon$ for all $\varepsilon > 0$ are equivalent. Clearly the strict version implies the non-str... (more) |
— | almost 3 years ago |
| Edit | Post #289973 | Initial revision | — | almost 3 years ago |
| Answer | — |
A: Is mathematical pedagogy in scope? A lot of didactics is quite mathematical, but a lot is also far from it. Stuff like different ways of understanding division or Janvier-table of transformations between different representations of functions would, to me, feel at home, while something like TPACK-model of teacher knowledge or g... (more) |
— | almost 3 years ago |
| Comment | Post #289826 |
As a mathematician, my first instinct is to suggest that if there is only one or two candidates or only one or two voters, the probability for someone to get at least half the votes is quite large. Any formula should be consistent with this. (more) |
— | almost 3 years ago |
| Edit | Post #289537 | Initial revision | — | about 3 years ago |
| Answer | — |
A: How can I choose a point from a uniform distribution within a regular polygon? A (regular, convex and some weaker condition would be sufficient) polygon is a finite union of triangles with one vertex at the origin, and which only meet at their edges. (I am being ambiguous whether I consider the triangles as closed or open, but this almost surely does not make a difference.)... (more) |
— | about 3 years ago |
| Comment | Post #289495 |
Did visualizing the n = 2 case help you or your students? (more) |
— | about 3 years ago |
| Comment | Post #289007 |
You have some issues with which texts are in italics. Just a heads-up. (more) |
— | about 3 years ago |
| Edit | Post #288280 |
Post edited: |
— | over 3 years ago |
| Comment | Post #288280 |
Good point. Maybe using the word "or" is warranted there. (more) |
— | over 3 years ago |