Activity for tommi
| Type | On... | Excerpt | Status | Date |
|---|---|---|---|---|
| Answer | — |
A: Is Mathematical Induction truly "induction", or misnamed? Mathematical induction is a case of deductive reasoning. It uses some kind of inductive principle, and the justifications for why that holds are a different matter. But its use is a case of rigorous, deductive reasoning. Finding the matter to be proved deductively is often a creative process th... (more) |
— | over 2 years ago |
| Comment | Post #285342 |
Please write the questions in your own words. This leads to learning and you might end up solving the problem even before posting it. (This is not to say quotes are not allowed; this is just a recommendation.) Writing a good question involves a baseline of understanding and research of the subject, w... (more) |
— | over 2 years ago |
| Comment | Post #282945 |
Area is the correct interpretation, yes. By experimentation and calculations you can find out whether this interpretation is consistent with how probabilities actually work and whether having this interpretation helps your understanding. You can also think what the corresponding interpretations with ... (more) |
— | over 2 years ago |
| Comment | Post #283366 |
Please add more context to the quote. A textbook, a news story, lecture notes? Signal processing or something else? (more) |
— | over 2 years ago |
| Comment | Post #282945 |
I would suggest you to calculate easy situations with simple independent events. First investigate multiplication and then the others, or maybe try without having one as the maximum probability and see what happens. I do suggest experimenting and investigating and calculating by yourself as much as p... (more) |
— | over 2 years ago |
| Edit | Post #283284 | Initial revision | — | over 2 years ago |
| Answer | — |
A: How do mathematicians measure shape perimeters? A physical circle would be measured in centimeters or other applicable unit. A circle in a coordinate system is measured by the unit implied by the coordinate system. A circle in a more general Euclidian space is measured by building a measure, which is done by assigning length one to some line... (more) |
— | over 2 years ago |
| Edit | Post #283125 | Initial revision | — | over 2 years ago |
| Answer | — |
A: How to determine area of square using Calculus in Cartesian coodinate? First, as pointed out in the comments, you have the equation for a circle there. Second, as an easy simplification, you might want to replace $\sqrt{25}$ with just a number. Third, your figure consists of pieces of lines, so we would expect to see linear equations. I would recommend checking or... (more) |
— | over 2 years ago |
| Edit | Post #282945 |
Post edited: |
— | over 2 years ago |
| Edit | Post #282945 | Initial revision | — | over 2 years ago |
| Answer | — |
A: Besides guaranteeing 0 ≤ P(A ∩ B) ≤ 1, why can't Independence be defined as P(A ∩ B) = P(A) +,-, or ÷ P(B)? 1. Try with different combinations of probabilities: what is their sum, difference, division. Not all of these are probabilities. (Check this.) This would cause a problem. 2. Draw a square; think of it as the unit square $[0, 1] \times [0, 1]$. On $x$-axis mark the (probabilities of) the events $A... (more) |
— | over 2 years ago |
| Comment | Post #282737 |
How far have you gotten with the exercise and what strategies have you tried? (more) |
— | almost 3 years ago |
| Comment | Post #282623 |
Exactly. Istiak, could you write down the assumptions of the theorem or the assumptions used in the proof? (more) |
— | almost 3 years ago |
| Edit | Post #282622 | Initial revision | — | almost 3 years ago |
| Question | — |
Questions with a quote/screenshot and a request to explain There are quite many questions that consist of a screenshot-quote, possibly several, usually with an underlined part and a request to explain it. These questions read to me as lacking effort and context. In my opinion, they would be much improved by expressing the issue in the querent's own words.... (more) |
— | almost 3 years ago |
| Comment | Post #281987 |
Does the code support an array here? (more) |
— | almost 3 years ago |
| Edit | Post #281961 | Initial revision | — | almost 3 years ago |
| Answer | — |
A: Notation for Euclidean Norm Are you in a context where you use vector norms with several $p$-values? Then write them as $||x||p$. If you only use the one with $p=2$, and no other confusing notation, then it is quite safe to omit the subscript. If you instead are interested in the question of which is used more often, it i... (more) |
— | almost 3 years ago |
| Comment | Post #280847 |
The way I read this question, the "basis point" is a red herring not related to the question at all. Is it a typical answer you are not satisfied with? I that case, maybe remove it from the title and move the text about it to the end of the question under a suitable sub-heaving. (more) |
— | about 3 years ago |
| Comment | Post #280068 |
@celtschk I know. I would personally leave it as $1/\sqrt 3$, but that comes with quite a lot of practice and abstraction. But I do think that the evaluation is a nice basic task that allows checking for cognitive load, and worth a try. I was surprised how big the difference turned out to be; I was a... (more) |
— | over 3 years ago |
| Comment | Post #280068 |
Certainly depends on the wider context, but I wonder if you really have easier time calculating or manipulating that, in general. (more) |
— | over 3 years ago |
| Edit | Post #280068 | Initial revision | — | over 3 years ago |
| Answer | — |
A: Why always rationalize a denominator? This answer is based on self-reflection, not research literature, so take it for what it is worth. Generally speaking, to understand an expression, I would prefer most mathematical objects there to be "simple": positive rather than negative, integer if possible, rational rather than a root express... (more) |
— | over 3 years ago |
| Comment | Post #278784 |
Thanks; my interest is in a formula in specific, in this case, rather than something that lists all the possibilities. (more) |
— | over 3 years ago |
| Comment | Post #278315 |
There is mathematics about machine learning and applied mathematics done with machine learning. I suggest asking the question and seeing what the reception is. (more) |
— | over 3 years ago |
| Comment | Post #278141 |
@Stephan Kolassa Could you write an answer based on that? (more) |
— | over 3 years ago |
| Comment | Post #278269 |
You may want to split the long formulas to multiple lines. (more) |
— | over 3 years ago |
| Comment | Post #278141 |
@Peter Taylor Thanks, I am aware. @r~~ Thanks, I did not find a general solution in the papers. (more) |
— | over 3 years ago |
| Edit | Post #278142 | Initial revision | — | over 3 years ago |
| Question | — |
Title with math looks very wrong The title of the question https://math.codidact.com/questions/278141 looks very wrong to me after opening the question. It looks like the word preceding mathematics is on a lower line than previous words, and the mathematics itself is between these lines. Windows 10, Firefox. I'll see about a s... (more) |
— | over 3 years ago |
| Edit | Post #278141 |
Post edited: |
— | over 3 years ago |
| Edit | Post #278141 | Initial revision | — | over 3 years ago |
| Question | — |
The probability distribution of rolling $n$ dice and keeping $k$ highest In many roleplaying games one rolls a handful of dice and calculates their sum. In some games there are bonus or penalty dice, so that we roll, for example, 4 dice with six sides and take the sum of the three highest, ignoring the lowest. So let us fix some notation. We are rolling $n \ge 0$ dice ... (more) |
— | over 3 years ago |
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