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• Today, 12:40
Neglecting drag, we know the acceleration of the projectile is given by: \d{v}{t}=-g Hence: v(t)=\d{x}{t}=-gt+v_0 And:
1 replies | 55 view(s)
• Yesterday, 19:10
Can anyone prove the above statement by induction? (Wave)
3 replies | 103 view(s)
• Yesterday, 15:00
I don't think there's anything that's going to make this more convenient than counting the number of users enrolled during a particular month. Using...
1 replies | 74 view(s)
• Yesterday, 12:08
Here is this week's POTW: ----- If $k_1,\,k_2,\,\cdots,\,k_{15}$ are the roots of the equation $x^{15}-2x^{14}+3x^{13}-\cdots+15x-16=0$,...
0 replies | 36 view(s)
• Yesterday, 12:03
Congratulations to the following members for their correct solution: (Smile) 1. Ackbach 2. kaliprasad 3. castor28 Solution from Ackbach: We...
1 replies | 79 view(s)
• Yesterday, 08:51
Thankyou for a clever solution, June29, and for your participation!(Cool)
3 replies | 103 view(s)
• January 16th, 2018, 16:02
Dear Lord! I was actually able to understand that! :) -Dan
10 replies | 181 view(s)
• January 15th, 2018, 20:28
You're summing the second-last row and then dividing by 10. With the last row we note that percentages are actually in decimal form, i.e. divided by...
1 replies | 102 view(s)
• January 15th, 2018, 17:26
Given non-negative reals, $\alpha_i$, where $i = 1,2,...,n.$ Prove, that $\alpha_1+\alpha_2+...+\alpha_n \leq \frac{1}{2}$ $\Rightarrow$...
3 replies | 103 view(s)
• January 15th, 2018, 14:41
Thanks, I like Serena, I see your point.(Yes)
7 replies | 146 view(s)
• January 15th, 2018, 04:58
When comparing operation counts for different methods and from different references, it is perhaps useful (but maybe already known to all...
2 replies | 72 view(s)
• January 14th, 2018, 14:21
Thankyou, I like Serena! - for your participation and nice solution! P.S.: - isn´t condition (c) satisfied by $0001$? $1000 - 0001 = 999$?
7 replies | 146 view(s)
• January 13th, 2018, 20:51
From c), n is four digits, From a), the last digit of n is 3. The solution follows.
7 replies | 146 view(s)
• January 13th, 2018, 15:21
Thankyou very much, greg1313, for a correct answer!(Yes) Would you perhaps like to show, how you came up with $2003$? (Talking)
7 replies | 146 view(s)
• January 13th, 2018, 14:58
Amazing, castor28! Thankyou very much for your sharp-minded deduction! (Cool)
2 replies | 83 view(s)
• January 12th, 2018, 21:18
2003
7 replies | 146 view(s)
• January 12th, 2018, 16:56
Determine the integer $n$ with the properties: a). $n$ is a prime less than $6000$, b). the number formed by the last two digits of $n$ is $<... 7 replies | 146 view(s) • January 12th, 2018, 15:55 Determine the number of integers$n \geq 2$for which the congruence$x^{25} \equiv x(mod \;\; n)$is true for all integers$x$. 2 replies | 83 view(s) • January 12th, 2018, 15:11 Hi, kaliprasad With your telescoping sum, I get: \ So the smallest possible$A$, that satisfies the inequality is: \ 3 replies | 107 view(s) • January 12th, 2018, 12:32 I am working on deep learning as well but as part of the Masters program. For those interested to see some battles between stockfish and AlphaZero... 5 replies | 156 view(s) • January 11th, 2018, 14:46 Let$a_1 = 1$,$a_2 = 1$and$a_n = a_{n-1}+a_{n-2}$for each$n > 2$. Find the smallest real number,$A\$, satisfying \ for any natural number...
3 replies | 107 view(s)
• January 11th, 2018, 14:34
Thankyou, castor28 for such a nice solution and for your participation!(Handshake)
2 replies | 110 view(s)
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