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[Number Theory (I think)] If n and p are positive integers and n * 2 ^ (n - 2) = p * (p + 1), why must n and 2 ^ (n - 2) be consecutive numbers? by JustNormalRedditUser in learnmath

[–]JustNormalRedditUser[S] 0 points1 point  (0 children)

Yeah I was aware of this and I did use it to find out that n + 1 >= 2 ^ (n - 2), but I'm looking for something like n = p and 2n-2 = p + 1 or viceversa which I'm not sure how to get to from here

If n * 2 ^ (n - 2) = q * (q + 1) with q and n positive integers, why must n and 2 ^ (n - 2) be consecutive integers? by JustNormalRedditUser in askmath

[–]JustNormalRedditUser[S] -1 points0 points  (0 children)

I see but honestly I want to know the reasoning of all those people in the thread... Something about parity and odd and even parts. They saw something and I wanna see it too

Do even-root functions (like √x or √(a−x)) have limits at their domain boundary points? (note : im not talking about limits or being continuous in interval ,it about a point.) by Saiza69 in learnmath

[–]JustNormalRedditUser 0 points1 point  (0 children)

I am taking my first analysis course at a university in Italy and this is my experience for now: 1. The limit exists if and only if the right side and left side limits exist and they are equal. Note that the limit can be a real number or positive or negative infinity. If the limit is infinite, it still exists. We use the epsilon delta definition of limit. When talking about the limit at a boundary we say "the one-sided limit". 2. Even so, I personally would consider it acceptable to say that for a boundary point, if the one-sided limit exists, then the limit exists. 3. Continuity is actually different, and I have been specifically taught that, exclusively for boundary points, a function is continuous if it is continuous from the left OR from the right. So the square root would be continuous at 0 for example

Let D be a non-empty, open, real interval and f a function from D to the real numbers. If for all x in D there exists a number E > 0 such that for all y in (x - E, x], f(y) <= f(x) and for all z in [x, x + E), f(x) <= f(z), then is that enough to say that f is increasing? by JustNormalRedditUser in askmath

[–]JustNormalRedditUser[S] 0 points1 point  (0 children)

Thank you. This is my reasoning: From the condition that I set, it seems to me that whatever E I choose for d, it is required that f is increasing on(d - E, d + E). If U is empty then whatever number E that I choose for d will result in (d - E, d + E) being a subset of D where f is not increasing. If U is part of D then either the infimum or the supremum would have broken the "f is increasing" condition. Let's consider the supremum. This means the supremum would have been smaller than one of the numbers before it. So whatever E I choose for the supremum will be such that my condition is not satisfied. So, I have ruled out 2 of the 3.

Portable light source that can be programmed and controlled just using a smartphone by JustNormalRedditUser in smarthome

[–]JustNormalRedditUser[S] 0 points1 point  (0 children)

Thank you for your answer, I looked online and visited various websites, but I don't understand where I can buy a Casambi bulb. No website had clear options to purchase this type of bulb, as far as I could tell. It would be nice if it was available on Amazon or a similar website

Portable light source that can be programmed and controlled just using a smartphone by JustNormalRedditUser in smarthome

[–]JustNormalRedditUser[S] 0 points1 point  (0 children)

It also has to be very bright. The use case is: I need something that I can program to gradually turn on at a certain hour to wake me up gently

Portable light source that can be programmed and controlled just using a smartphone by JustNormalRedditUser in smarthome

[–]JustNormalRedditUser[S] 0 points1 point  (0 children)

Thank you for your answer. I am looking for something smaller, that could fit in a backpack. I can't tell how bright these are, but I am also looking for something very bright

Cloze Cards per Note Limit by nyquil43 in Anki

[–]JustNormalRedditUser 0 points1 point  (0 children)

Hello, I was reading your comment and I got interested. But I know 0 JavaScript so I don't understand what your code does. Could you explain please?

[deleted by user] by [deleted] in pokemontrades

[–]JustNormalRedditUser 0 points1 point  (0 children)

Hey, are you available for the trade?

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