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...is 2×2, or 4. If we want to know the 100-th number, it's 2×100, or 200. No matter which thing in the sequence we want, the rule can tell us what it is. ...

...cardinality <math>c</math>. Find a proper bound on <math>c</math> that no matter how to partition the <math>V</math> into <math>V_1, V_2,\cdots, V_n</math>, ...

...ht moves away from you at 1 c... or is it 1.5 c? It ends up that c is c no matter what. The next section explains why it's not c - 0.5c. ...

...apped around. In other words, the order of the terms in an equation do not matter. When the operator of two terms is an addition, the 'commutative property o ...erty of addition implies that, when adding three or more terms, it doesn't matter how these terms are grouped. Algebraically, this gives <math>a + (b + c) = ...

...[[electron]] and one [[neutrino]]. Since neutrinos rarely interact with [[matter]], we can ignore them from now on. The electron is propelled out of the [[a ...

...this simple problem, the answer is "yes" when we have 6 or more points, no matter how the lines are colored. But when we have 5 points or fewer, we can color ...

...nity is a process that never stops. For example, adding 10 to a number. No matter how many times 10 is added, 10 more can still be added. Actual infinity is ...

...'' of the genes of an individual in the next generation. It doesn't really matter how the genes arrive in the next generation. For an individual, it is equal ...

At the [[Matter|physical]] level, simplifying many things: ...

For some Markov chains, no matter what the initial distribution is, after running the chain for a while, the ...ath>. So the Markov chain converges to the same stationary distribution no matter what the initial distribution is. ...

...ain is just {4}. Namely, ''y''(0)=4, ''y''(−2.7)=4, ''y''(&pi;)=4,.... No matter what value of ''x'' is input, the output is "4". ...

First, it is trivial to see that the theorem holds for <math>k=1</math> (no matter whether shifted). Next, we show that the theorem holds when <math>n=2k</math> (no matter whether shifted). For any <math>S\in{X\choose k}</math>, both <math>S</math ...

First, it is trivial to see that the theorem holds for <math>k=1</math> (no matter whether shifted). Next, we show that the theorem holds when <math>n=2k</math> (no matter whether shifted). For any <math>S\in{X\choose k}</math>, both <math>S</math ...

First, it is trivial to see that the theorem holds for <math>k=1</math> (no matter whether shifted). Next, we show that the theorem holds when <math>n=2k</math> (no matter whether shifted). For any <math>S\in{X\choose k}</math>, both <math>S</math ...

First, it is trivial to see that the theorem holds for <math>k=1</math> (no matter whether shifted). Next, we show that the theorem holds when <math>n=2k</math> (no matter whether shifted). For any <math>S\in{X\choose k}</math>, both <math>S</math ...

...ance with the [[minimum total potential energy principle]], the universe's matter flows towards ever more negative total potential energy. This cosmic flow i ...ntial energy is maximal (''i.e.'', zero), while the total actual energy of matter waves is minimal (''i.e.'', zero). Therefore, at the outset of the universe ...

...if the Earth was moving away from that star. However, they noticed that no matter who performed the experiments, where the experiments were performed, or wha ...ts before Einstein had written about light seeming to go the same speed no matter how it was observed. What made Einstein's theory so revolutionary is that i ...

For some Markov chains, no matter what the initial distribution is, after running the chain for a while, the ...ath>. So the Markov chain converges to the same stationary distribution no matter what the initial distribution is. ...

...inct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent any numbers, no matter how large. These digits are often used with a [[decimal separator]] which i ...

For some Markov chains, no matter what the initial distribution is, after running the chain for a while, the ...ath>. So the Markov chain converges to the same stationary distribution no matter what the initial distribution is. ...