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Activity for Quintec‭

Type On... Excerpt Status Date
Edit Post #285524 Post edited:
english
over 2 years ago
Suggested Edit Post #285524 Suggested edit:
english
(more)
helpful over 2 years ago
Edit Post #285343 Initial revision over 2 years ago
Answer A: Is Mathematical Induction truly "induction", or misnamed?
Well there are many ways to look at this, but I would argue yes. To use your last screenshot: the cause is S(k), the effect is S(k+1), and it's up to you to fill in how you get from one to the other.
(more)
over 2 years ago
Edit Post #284724 Initial revision over 2 years ago
Answer A: Can we add without using addition?
You could use the Peano axioms instead to define addition - using the successor function, $$a + 0 = a $$ $$a + S(b) = S(a + b)$$ But I'd argue that this is not different - addition is defined this way to begin with... In my opinion the question makes no sense - addition is addition, you c...
(more)
over 2 years ago
Edit Post #284409 Initial revision over 2 years ago
Answer A: What it ≡ called?
Is congruent to This satisfies both usages you mentioned and is the most common way I pronounce it/hear it pronounced. $8 \equiv 3 \pmod{5} \to \text{8 is congruent to 3 mod 5 }$ $\triangle ABC \equiv \triangle DEF \to \text{Triangle ABC is congruent to Triangle DEF}$ Alternatively, "is...
(more)
over 2 years ago
Edit Post #283257 Initial revision over 2 years ago
Answer A: After $n - 2$ unchosen doors are opened, how does the probability of the $n - 2$ unchosen doors "shift" or "transfer" to the lone unchosen door?
This is the way of explaining it that works the best for me. Forget about the probabilities for a moment - after the host opens 98/100 doors, there are 2 doors left. Therefore, you either have selected a door with a goat or a door with a car. Now, if you have selected a goat, then switching will g...
(more)
over 2 years ago
Edit Post #282873 Post edited:
remove irrelevant details, use more understandable words
over 2 years ago
Suggested Edit Post #282873 Suggested edit:
remove irrelevant details, use more understandable words
(more)
helpful over 2 years ago
Comment Post #280310 How beneficial is it to get more than 1 upgrade?
(more)
over 3 years ago
Comment Post #278638 I'm confused how this answers the question of the pattern of digits. You only use the fact that x = 1/19 in your answer and don't explain what the significance of the powers of n is. (Or maybe my reading comprehension skills are poor...)
(more)
over 3 years ago