• Today, 13:16
Hi Tony. I recommend you read up on our guidelines for posting challenge problems, found here.
1 replies | 27 view(s)
• Today, 13:01
Here is this week's POTW: ----- John tosses $6$ fair coins, and Mary tosses $5$ fair coins. What is the probability that John gets more "heads"...
0 replies | 12 view(s)
• Today, 12:56
1 replies | 47 view(s)
• Today, 07:48
Not just for the next term, but for the whole sequence! In fact, your prediction and mine both say that the $(n+1)$th term minus the $n$th term is...
8 replies | 104 view(s)
• Today, 06:54
My own best guess was to look at the differences: $\frac 13, \frac 16, \frac 1{10}$. The next difference might be $\frac 1{15}$, although it does...
8 replies | 104 view(s)
• Today, 06:37
Hi hm2018April, and welcome to MHB! Mathematicians hate problems like this, because there usually isn't a single, "correct" solution. You need to...
8 replies | 104 view(s)
• Today, 06:14
Can you give us any idea where the series comes from? Technically the next term in the series could be argued to be anything. -Dan
8 replies | 104 view(s)
• Today, 03:57
Hello hm2018April and welcome to MHB! :D We ask that our users show their progress (work thus far or thoughts on how to begin) when posting...
8 replies | 104 view(s)
• Today, 01:48
Thanks GJA ... Appreciate your help... Peter
2 replies | 32 view(s)
• Today, 00:24
Hi, Peter. The condition that needs to occur in order to form the composition $f'f$ (or any function composition) is that $f$'s range must be a...
2 replies | 32 view(s)
• Yesterday, 23:24
I am reading Paul E. Bland's book "Rings and Their Modules" ... Currently I am focused on Section 3.2 Exact Sequences in \text{Mod}_R ... ... ...
2 replies | 32 view(s)
• Yesterday, 17:14
tkhunny replied to a thread Right triangle. in Geometry
No good. That's just without narrative description. "...except those introduced..." seems an arbitrary addition to the requirement. How are...
13 replies | 122 view(s)
• Yesterday, 17:07
Since you know what the basis elements are, take one open set from your cover and use what you know about basis elements. You will need to reduce the...
5 replies | 89 view(s)
• Yesterday, 15:52
I like Serena replied to a thread Special Relativity in Physics
It's the other way around.
11 replies | 128 view(s)
• Yesterday, 15:50
Wilmer replied to a thread Right triangle. in Geometry
GOOD idea...never thought of that!!
13 replies | 122 view(s)
• Yesterday, 15:26
I like Serena replied to a thread Right triangle. in Geometry
For the record, something like that is called a sangaku. A drawing that exhibits a proof, without any words, expressions, or symbols. Admittedly my...
13 replies | 122 view(s)
• Yesterday, 15:04
I like Serena replied to a thread Right triangle. in Geometry
You mean just drawings? (Wondering) Something like this: \begin{tikzpicture} %preamble \usetikzlibrary{arrows} \def\a{sqrt(17)} ...
13 replies | 122 view(s)
• Yesterday, 14:58
tkhunny replied to a thread Right triangle. in Geometry
While you're at it, how about trying it without words, expressions, or symbols?
13 replies | 122 view(s)
• Yesterday, 13:39
Wilmer replied to a thread Right triangle. in Geometry
I'm also lazy!!
13 replies | 122 view(s)
• Yesterday, 13:37
I like Serena replied to a thread Right triangle. in Geometry
To be honest, I only used trigonometry because it means I have to use fewer words to explain those ratios! (Rofl)
13 replies | 122 view(s)
• Yesterday, 13:32
Wilmer replied to a thread Right triangle. in Geometry
13 replies | 122 view(s)
• Yesterday, 13:20
I like Serena replied to a thread Right triangle. in Geometry
Trigonometry is only used in the first step. We can replace it with non-trigonometry by observing that triangles ABC and ACD are similar, meaning...
13 replies | 122 view(s)
• Yesterday, 13:16
Wilmer replied to a thread Right triangle. in Geometry
Nice. How about "without using trigonometry"? :)
13 replies | 122 view(s)
• Yesterday, 13:02
Hi Alexmahone, One way to proceed is to take an arbitrary open cover $\{U_{\alpha}\}_{\alpha\in\mathcal{I}}$ and prove that it must admit a finite...
5 replies | 89 view(s)
• Yesterday, 12:55
I like Serena replied to a thread Right triangle. in Geometry
Let's make a drawing: \begin{tikzpicture} %preamble \usetikzlibrary{arrows} \def\a{sqrt(17)} \def\b{sqrt(68)} \def\c{sqrt(85)} ...
13 replies | 122 view(s)
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