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511 - 520 of 681 for Novo Curso De Direito Civil - Vol. 1 - Parte Geral - 26ª EdGagliano, Pablo StolzeSaraiva Jur

Note (a) for Why These Discoveries Were Not Made Before

An example shown below is code 10, which specifies that if 1 or 3 cells out of 5 are black then the next cell is black; otherwise it is white.

Note (f) for Elementary Arithmetic

Since numbers can be factored uniquely into products of powers of primes, a number can be specified by a list in which 1's appear at the positions of the appropriate Prime[m] n (which can be sorted by size) and 0's appear elsewhere, as shown below.

Note (c) for Origins of Simple Behavior

In 1D, localized structures sometimes arise as defects in largely repetitive behavior, or more generally as boundaries between states with different properties—such as the different phases of the repetitive background in rule 110.

Note (c) for The Breaking of Materials

And it turns out that these often look remarkably like patterns made by 1D class 3 cellular automata.

Note (b) for Time and Causal Networks

And in addition, the final network must always be planar—as it is whenever it is derived from the evolution of a local underlying 1D system.

The Intrinsic Generation of Randomness

Patterns of digits in base 2 produced by starting with the number 1 and then repeatedly multiplying by various fixed constants.

alternates between 0 and 1, but the second register progressively grows.

Note (e) for Elementary Arithmetic

Multiples of irrational numbers Instead of powers one can consider successive multiples Mod[h n, 1] of a number h .

Note (d) for Elementary Arithmetic

Negative bases Given a suitable list of digits from 0 to k - 1 one can obtain any positive or negative number using FromDigits[list, -k] .

Note (c) for Systems Based on Constraints

The number of allowed templates out of the total of 32 possible varies from 1 to 15 for the constraints shown, with 12 being the most common.