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# Censorship
*THIS PAGE HAS BEEN BLOCKED IN YOUR COUNTRY*

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# Combinatorics
Combinatorics is an area of [math](math.md) that's basically concerned with counting possibilities. As such it is very related to [probability theory](probability.md) (as probability is typically defined in terms of ratios of possible outcomes). It explores things such as [permutations](permutation.md) and [combinations](combination.md), i.e. question such as how many ways are there to order *N* objects or how many ways are there to choose *k* objects from a set of *N* objects.
The two basic quantities we define in combinatorics are **[permutations](permutation.md)** and **[combinations](combination.md)**.
Permutation (in a simple form) of a [set](set.md) of objects (lets say A, B and C) is one possible ordering of such set (i.e. ABC, ACB, BAC etc.). I.e. here by permutation of a number *n*, which we'll write as *P(n)*, we mean the number of possible orderings of a set of size *n*. So for example *P(1) = 1* because there is only one way to order a set containing one item. Similarly *P(3) = 6* because there are six ways to order a set of three objects (ABC, ACB, BAC, BCA, CAB, CBA). *P(n)* is computed very simply, it is [factorial](factorial.md) of *n*, i.e. *P(n) = n!*.
Combination (without repetition) of a set of objects says in how many ways we can select given number of objects from that set (e.g. if there are 4 shirts in a drawer and we want to choose 2, how many possibilities are there?). I.e. given a set of certain size a combination tells us the number of possible subsets of certain size. I.e. there are two parameters of a combination, one is the size of the set, *n*, and the other is the number of items (the size of the subset) we want to select from that set, *k*. This is written as *nCk*, *C(n,k)* or
```
/ n \
| |
\ k /
```
A combination is computed as *C(n,k) = n! / (k! * (n - k)!)*. E.g. having a drawer with 4 shirts (A, B, C and D) and wanting to select 2 gives us *C(4,2) = 4! / (2! * (4 - 2)!) = 6* possibilities (AB, AC, AD, BC, BD, CD).
Furthermore we can define combinations with repetitions in which we allow ourselves to select the same item from the set more than once (note that the selection order still doesn't matter). I.e. while combinations without repetition give us the number of possible subsets, a combinations WITH repetitions gives us the number of possible [multisubsets](multiset.md) of a given set. Combinations with repetition is computed as *Cr(n,k) = C(n + k - 1,k)*. E.g. having a drawer with 4 shirts and wanting to select 2 WITH the possibility to choose one shirt multiple times gives us *Cr(4,2) = C(5,2) = 5! / (2! * (5 - 2)!) = 10* possibilities (AA, AB, AC, AD, BB, BC, BD, CC, CD, DD).
Furthermore if we take combinations and say that order matters, we get generalized permutations that also take two parameters, *n* and *k*, and there are two kinds: without and with repetitions. I.e. permutations without repetitions tell us in how many ways we can choose *k* items from *n* items when ORDER MATTERS, and is computed as *P(n,k) = n!/(n - k)!* (e.g. *P(4,2) = 4!/(4 - 2)! = 12*, AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, DC). Permutations with repetitions tell us the same thing but we are allowed to select the same thing multiple times, it is computed as *Pr(n,k) = n^k* (e.g. *P(4,2) = 4^2 = 16*, AA, AB, AC, AD, BA, BB, BC, BD, CA, CB, CC, CD, DA, DB, DC, DD).
To sum up:
|quantity |order matters?|repetition allowed?|formula |
|------------------------|--------------|-------------------|-----------------------------|
|permutation (simple) | yes | |P(n) = n! |
|permutation without rep.| yes | no |P(n,k) = n!/(n - k)! |
|permutation with rep. | yes | yes |Pr(n,k) = n^k |
|combination without rep.| no | no |C(n,k) = n! / (k! * (n - k)!)|
|combination with rep. | no | yes |Cr(n,k) = C(n + k - 1,k) |
Here is an example of applying all the measures to a three item set ABC (note that selecting nothing from a set counts as 1 possibility, NOT 0):
|quantity|possibilities (for set ABC) |count |
|--------|----------------------------------------|----------------------|
|P(3) |ABC ACB BAC BCA CAB CBA | 3! = 6 |
|P(3,0) | | 3!/(3 - 0)! = 1 |
|P(3,1) |A B C | 3!/(3 - 1)! = 3 |
|P(3,2) |AB AC BA BC CA CB | 3!/(3 - 2)! = 6 |
|P(3,3) |ABC ACB BAC BCA CAB CBA | 3!/(3 - 3)! = 6 |
|Pr(3,0) | | 3^0 = 1 |
|Pr(3,1) |A B C | 3^1 = 3 |
|Pr(3,2) |AA AB AC BA BB BC CA CB CC | 3^2 = 9 |
|Pr(3,3) |AAA AAB AAC ABA ABB ABC ACA ACB ACC ... | 3^3 = 27 |
|C(3,0) | |3!/(0! * (3 - 0)!) = 1|
|C(3,1) |A B C |3!/(1! * (3 - 1)!) = 3|
|C(3,2) |AB AC BC |3!/(2! * (3 - 2)!) = 3|
|C(3,3) |ABC |3!/(3! * (3 - 3)!) = 1|
|Cr(3,0) | | C(3 + 0 - 1,0) = 1 |
|Cr(3,1) |A B C | C(3 + 1 - 1,1) = 3 |
|Cr(3,2) |AA AB AC BB BC CC | C(3 + 2 - 1,2) = 6 |
|Cr(3,3) |AAA AAB AAC ABB ABC ACC BBB BBC BCC CCC | C(3 + 3 - 1,3) = 10 |

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Mathematics (also math or maths) is the best [science](science.md) (yes, it is a formal science), which deals with numbers, abstract structures and [logic](logic.md) in as rigorous and objective way as possible. In fact it's the only true science that can actually prove things. It is immensely important in [programming](programming.md) and [computer science](compsci.md).
Some see math not as a science but rather a discipline that develops formal tools for "true sciences". The reasoning is usually that a science has to use [scientific method](scientific_method.md), but that's a limited view as that's not the only way of obtaining reliable knowledge. Besides that math can and does use the principles of scientific method -- mathematicians first perform "experiments" with numbers and generalize into [conjectures](conjecture.md), however this is not considered [good enough](good_enough.md) in math as it actually has the superior tool of [proof](proof.md) that is considered the ultimate goal of math. In this sense mathematics is more than a science.
Some see math not as a science but rather a discipline that develops formal tools for "true sciences". The reasoning is usually that a science has to use [scientific method](scientific_method.md), but that's a limited view as scientific methods is not the only way of obtaining reliable knowledge. Besides that math can and does use the principles of scientific method -- mathematicians first perform "experiments" with numbers and generalize into [conjectures](conjecture.md), however this is not considered [good enough](good_enough.md) in math as it actually has the superior tool of [proof](proof.md) that is considered the ultimate goal of math. I.e. math relies on [deductive](deduction.md) reasoning (proof) rather than less reliable [inductive](induction.md) reasoning (scientific method) -- in this sense mathematics is more than a science.
[Soydevs](soydev.md), coding monkeys (such as webdevs) and just retards in general hate math because they can't understand it. They think they can do programming without math, which is just ridiculous. This delusion stems mostly from these people being highly incompetent and without proper education -- all they've ever seen was a shallow if-then-else [python](python.md) "[coding](coding.md)" of baby programs or point-and-click "coding" in gigantic [GUI](gui.md) frameworks such as [Unity](unity.md) where everything is already preprogrammed for them. By Dunning–Kruger they can't even see how incompetent they are and what real programming is about. In reality, this is like thinking that being able to operate a calculator makes you a capable mathematician or being able to drive a car makes you a capable car engineer. Such people will be able to get jobs and do some repetitive tasks such as web development, [Unity](unity.md) game development or system administration, but they will never create anything innovative and all they will ever make will be ugly, [bloated](bloat.md) [spaghetti](spaghetti.md) solution that will likely do more harm than good.

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[LMAO](lmao.md) they're even censoring art and retroactively changing classical works of art to suit this propaganda, just like the fascist communists did. E.g. Agatha Christie's book *Ten Little Niggers* was renamed to *And Then There Were None*. Are they also gonna repaint Mona Lisa when it somehow doesn't suit their liking?
LOL take a look at this website: http://niggermania.com. Also https://www.chimpout.com.
LOL take a look at this website: http://niggermania.com. Also https://www.chimpout.com. Also this lol https://encyclopediadramatica.online/Niggers.

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*Not to be confused with [soyence](soyence.md)*.
Science means inference and organization of knowledge, in more strict sense this process has to be kept rational by obeying some specific rules. Sciences include [mathematics](math.md) (so called formal science), [physics](physics.md), biology and [computer science](computer_science.md). Science is not to be confused with:
- [Pseudoscience](pseudoscience.md) such as gender studies.
- [Soyence](soyence.md).
Science means inference and organization of knowledge, in more strict sense this process has to be kept rational by obeying some strictly specific rules such as the [scientific method](scientific_method.md) or mathematical [proof](proof.md). Sciences in the strict sense include [mathematics](math.md) (so called formal science), [physics](physics.md), biology, chemistry, [computer science](computer_science.md) etc. Science is not to be confused with [pseudoscience](pseudoscience.md) (such as gender studies or astrology) and [soyence](soyence.md) (political propaganda masked as "science").

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# Toxicity
A social environment is said to be toxic if it induces a high psychological discomfort, toxic individuals are members of such environment that help establish it. Examples of toxic environments include a [capitalist](capitalism.md) society and [SJW](sjw.md) social networks.

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Wiby appears to have been launched in October 2017 and built by a sole programmer who remains anonymous and accepts donations. On the [ASCII art](ascii_art.md) on the front page there are initials `jgs` which may or may not point to the author of wiby.
On July 8, 2022 wiby became even more amazing by **being released as [free (as in freedom) software](free_software.md)** under [GPLv2](gpl.md)! It works on the [LEMP](lemp.md) stack. See http://wiby.me/about/guide.html. (The database of sites though seems to remain [proprietary](proprietary.md).)
On July 8, 2022 wiby became even more amazing by **being released as [free (as in freedom) software](free_software.md)** under [GPLv2](gpl.md)! It works on the [LEMP](lemp.md) stack. See http://wiby.me/about/guide.html. (The database of sites though seems to remain [proprietary](proprietary.md).)
A similar search engine seems to be https://search.marginalia.nu/.

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|Starcraft II |3556 (Serral) |2679 (Scarlett) |best M has ~80% win chance against W |
|holding breath |24:37 (Sobat) |18:32m (Meyer) |Ms have ~35% greater lung capacity |
On average, male brain weights 10% more than woman's and has 16% more brain cells.
## See Also
- [pussy](pussy.md)