Here you can solve interesting problems using whatever programming language you like. Also you will earn SBI and sometimes STEM by doing so.
Also you might learn new things by doing so.
The tasks will be rather hard to solve without a programmable computer and some programming skills, but if you want to add a few million numbers by hand or similar, I would still give you the reward.
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Today I want you to do some numerical stuff.
Consider the following sum:
s is a complex number with
s = 0.5 + yi
The sum does converge for any real y.
You don't need to be more precise than 3 decimal places.
Tip: The distance between any two consecutive zeros of the sum is generally bigger than 1.
Tip 2(added on @crokkon 's request): There are several 100 zeros between 1 and 1000.
If you don't know complex numbers it would be time to learn about them. They are pretty useful in many cases!
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To everyone who already participated in a past contest, come back today and try a new problem(tell me if you don't want to be tagged):
@crokkon
@kaeserotor
In case no one gets a result(which I doubt), I will give away the prize equivalent of one participant to the person who makes the most constructive description why the problem is too hard in your opinion.
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@contrabourdon sponsors my contests with 2 STEEM weekly.
You can support him by using a witness vote on untersatz, so he can further support this and other contests.