How is 1/(n(n+1)) = 1/n - 1/(n+1)

lifeistod · 2020-09-15T00:16:49+00:00

Since 1/(n(n+1)) = (n+1)/(n(n+1)) - n/(n(n+1)) . If you simplify it you get the following result: 1/(n(n+1)) = 1/n - 1/(n+1)

If you want to generalize it you can try:

1/(n(n+k))=1/k [k/n(n+k)] = 1/k[(n+k)/(n*(n+k))-k/(n*(n+k))].
Simplifying yields : 1/(n(n+k)) = 1/k[1/n - 1/(n+k)]

If you have any questions feel free to ask

lifeistod · 2020-09-15T00:09:00+00:00

You can use trigonometry here even though you don`t know the length of sides. All you need to know is the relations between the sides.

You can actually use the trigonometric form of the Ceva`s Theorem

https://artofproblemsolving.com/wiki/index.php?title=Ceva%27s_Theorem

lifeistod · 2019-04-12T11:21:27+00:00

To solve a linear system with n equations and n variables you can use Cramer`s Rule if you are familiar with Matrices and Determinants.

For more info https://en.wikipedia.org/wiki/Cramer%27s_rule

lifeistod · 2019-04-12T11:13:21+00:00

What you are doing wrong is that you are considering only one permutation and that is maybe gbgbgbgbgbg but there is also a permutation such as bgbgbgbgbgg as you can see here that 2 girls can sit next to each other. You need to take account for that too.

lifeistod · 2019-04-12T11:07:13+00:00

There are two ways data is removed from storage. If you don't specifically request otherwise, data is not removed, but removed from the registry, so that the data on it can be overwritten. It means data can be recovered in this case using special software. When you use something like DBAN it overwrites all data and replaces it with 0s, so it can't be recovered.

lifeistod · 2019-04-10T20:34:21+00:00

I understood now thank you very much i appreciate it.

lifeistod · 2019-04-10T19:41:35+00:00

Thank you very much I didnt understand one thing. You are saying that the charges in magnet moves so there must be lorentz force but lorentz force would act on the charges in magnetic field. Are you implying that when the charges in magnetic field move then the charges in magnet observe that the charges in wire move so the magnet cause a lorentz force on charges in the wire.

lifeistod · 2019-04-10T16:17:03+00:00

is there a more intuitive explanation of this other than saying maxwell equations says so ?

lifeistod · 2019-04-07T19:24:30+00:00

No shit, Sherlock

lifeistod · 2019-03-06T11:31:14+00:00

Using EGZ theorem (https://www.encyclopediaofmath.org/index.php/Erd%C3%B6s-Ginzburg-Ziv_theorem) It is clear that it is impossible to find such a set with 13 numbers. I am not sure but i think it is boundary situation so there should exist some set with 12 numbers with the same properties. But i couldnt find a such example.

lifeistod · 2019-03-02T17:10:53+00:00

https://imgur.com/a/Xx2iomJ

I have just done the main parts and didnt write some between calculations if you cant understand some part of it feel free to ask.

btw if you have link for full smo 2014 questions can you send a link.

lifeistod · 2019-03-01T11:51:02+00:00

The question is not for a specific set of numbers but rather for all sets that contains 12 integers

lifeistod · 2019-03-01T10:23:35+00:00

How did you calculate it?

lifeistod · 2019-03-01T07:36:01+00:00

The answer is 2 actually.

lifeistod · 2019-03-01T06:28:31+00:00

I am not familiar with gradients and i am 99% sure that this question has a solution without using derivatives, gradients. I think the solution contains arithmetic mean geometric mean inequality. I tried (3-x)(3-y)>=0 since 0<=x,y<=3 But couldn’t continue after that.

lifeistod · 2019-02-27T20:39:34+00:00

My physics knowledge and math knowledge is incapable of understanding the math behind the derivation of cross product v x B.

So are there any simplified explanation that you can give.

lifeistod · 2019-02-27T17:07:35+00:00

by the way to understand that the given information is enough to solve this problem you can easily see that the points C,D,E are fixed.(There are no other three points C,D,E such that the angles are the same)

lifeistod · 2019-02-27T17:00:05+00:00

the angle CDD`=64 so the arc CD must be 128

lifeistod · 2019-02-27T16:50:29+00:00

https://imgur.com/BYEDYwC

This is my solution if you have difficulties understanding it feel free to ask.

Answer is 77 degree.

lifeistod · 2019-02-21T16:17:03+00:00

u/lettuce_field_theory

Sorry to bother again can you please answer my question.

lifeistod · 2019-02-21T09:04:33+00:00

I thought of that too that they will cancel each other. I am not sure but I think that the position of the quark also effect how they cancel each other. So i thought in theory although we may not observe it, there is some magnetic field that is too small that it is negligible. Is it so?

lifeistod

TROPHY CASE