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Activity for r~~‭

Type On... Excerpt Status Date
Suggested Edit Post #280204 Suggested edit:
Fix TeX formatting
(more)
helpful almost 4 years ago
Edit Post #280171 Initial revision almost 4 years ago
Answer A: How can I deduce which operation removes redundacies?
You have 8 people, and you have to pick 3 of them to get identical gifts. Even though the gifts are identical, let's give them labels: A, B, and C. Let's also number the people 1 to 8. The first step is to figure out how many ways there are to hand out gifts in order. You have 8 choices for gift A...
(more)
almost 4 years ago
Suggested Edit Post #280168 Suggested edit:
Fix TeX formatting
(more)
helpful almost 4 years ago
Edit Post #280120 Initial revision almost 4 years ago
Answer A: Product of empty set of elements vs. product over empty indexing set — is there any difference?
tl;dr: Having one logical choice for a notation that is consistent with the rest of one's definitions is not the same as defining that notation to mean that choice. Until one has done so, the notation has no meaning (in a strict reading of a math text). In this excerpt, Lang is defining, presumabl...
(more)
almost 4 years ago
Edit Post #280065 Post edited:
almost 4 years ago
Edit Post #280065 Initial revision almost 4 years ago
Answer A: Why always rationalize a denominator?
Mathematically, absolutely nothing is wrong with fractions that don't have the smallest positive integer denominator that they could have, as far as I know. Pedagogically, the policy does help with there being a unique answer that can be checked quickly, when grading multiple homework assignments ...
(more)
almost 4 years ago
Comment Post #278141 You might be interested in [Troll](http://hjemmesider.diku.dk/~torbenm/Troll/), a language and interpreter for expressing complex dice probabilities. The case you're interested in would be `sum largest k nDs` in the Troll language (with suitable constants for $k$, $n$, and $s$). Perhaps one of the pa...
(more)
about 4 years ago