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Consider a pseudo random number generator ( PRNG ) function P ( key ) that is uniform on the interval 2 < sup > b </ sup > − 1.
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Consider and random
Consider a collection of particles performing a random walk in one dimension with length scale and time scale.
Consider a sample space generated by two random variables and.
Consider the approach we would take classically-we pick one block at random, and then perform a normal search through the rest of the blocks ( in set theory language, the compliment ).
Consider a random variable X whose probability distribution belongs to a parametric family of probability distributions P < sub > θ </ sub > parametrized by θ.
Consider a random walk on the number line where, at each step, the position ( call it x ) may change by + 1 ( to the right ) or-1 ( to the left ) with probabilities:
A particular setting of n and p characterizes a particular probability distribution over a discrete random variable, with possible outcomes ( the support of the distribution ) ranging between 0 and n. Consider the following cases:
Consider a sphere S ( r ) with radius r. A point on the sphere is identified by its latitude φ and longitude λ, for which we introduce the random variables Φ and Λ that take values in Ω < sub > 1 </ sub > = respectively Ω < sub > 2 </ sub > =.
Consider the previous example with men's heights and suppose we have a random sample of n people.
Consider a memoryless AWGN channel, and assume that at k-th iteration, the decoder receives a pair of random variables:
Consider a probabilistic algorithm that, given a formula F ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub >) chooses an assignment x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub > uniformly at random.
Consider a random vector.
Consider a random variable,, that takes on values with probability.
Consider and number
* Consider the set of all functions from the real number line to the closed unit interval, and define a topology on so that a sequence in converges towards if and only if converges towards for all.
* Consider the modulo 2 equivalence relation on the set of integers: if and only if their difference is an even number.
Consider the number N ( r ) of balls of radius at most r required to cover X completely.
Consider the number
Consider an experiment that can produce a number of results.
Consider an experiment that can produce a number of outcomes.
Consider a typical rational number 415 / 93, which is around 4. 4624.
Consider the behaviour of a belief distribution as it is updated a large number of times with independent and identically distributed trials.
During the time of Consider Phlebas, Minds were estimated to number in the several hundreds of thousands.
We say that the number x is a periodic point of period m if f < sup > m </ sup >( x ) = x ( where f < sup > m </ sup > denotes the composition of m copies of f ) and having least period m if furthermore f < sup > k </ sup >( x ) ≠ x for all 0 < k < m. We are interested in the possible periods of periodic points of f. Consider the following ordering of the positive integers:
Consider a formula that states that some natural number multiplied by itself is 25.
Consider a number n > 0 in base b ≥ 2, where it is written in standard notation with k + 1 digits a < sub > i </ sub > as:
Consider the decimal number
On August 18 the label released the album's second single, " Consider Me Gone ", and it debuted at number 51 on The Hot Country Single's Chart.
Consider a number divided into one, like 1 / 3 or 1 / 7.
* Consider cumulative impact-minimize number of boats at any one time / per day
Consider the number.
Consider a raffle where a single ticket wins a prize of all entry fees: if the prize is $ 1, the entry fee will be 1 / number of tickets.
Consider n = 40: the human species is more than 40 generations old, yet the number 2 < sup > 40 </ sup >, approximately 10 < sup > 12 </ sup > or one trillion, dwarfs the number of humans that have ever lived.
Consider a ( hyper ) elliptic curve over a finite field where is the power of a prime number.
Consider a hyperelliptic curve of genus over the field where is the power of a prime number and define as but now over the field.
Consider a country whose economy is characterized by a large number of sectors which are so small that any increase in the productivity of one sector has no impact on the economy as a whole.
Consider and generator
Consider a ( multiplicative ) cyclic group of order, and with generator.
Consider and function
Consider a wave packet as a function of position x and time t: α ( x, t ).
Consider the logarithm function: For any fixed base b, the logarithm function log < sub > b </ sub > maps from the positive real numbers R < sup >+</ sup > onto the real numbers R ; formally:
Consider a function from a metric space M to a topological space V, and a point c of M. We direct the set M
Consider a function that takes no parameters and returns input from the keyboard.
Consider a wave function that is a sum of many waves, however, we may write this as
Consider a function with its corresponding graph as a subset of the Cartesian product.
Consider the function f, piecewise defined by f ( x ) = – 1 for x < 0 and f ( x ) = 1 for x ≥ 0.
Consider the recursion equations for the factorial function f:
Consider a function that reads the next line of text from a given file:
Consider the complex Hilbert space L < sup > 2 </ sup >( R ), and the operator which multiplies a given function by x:
Consider a function of jump process.
Consider a graph G with vertices V, each numbered 1 through N. Further consider a function shortestPath ( i, j, k ) that returns the shortest possible path from i to j using vertices only from the set
Consider a differentiable function ƒ ( x ) whose derivative is ƒ '( x ).
Consider the vector-valued function F from R < sup > 2 </ sup > to R < sup > 2 </ sup > defined by
Consider an open set on the real line and a function f defined on that set with real values.
Consider, for purposes of illustration, a mountainous landscape M. If f is the function sending each point to its elevation, then the inverse image of a point in ( a level set ) is simply a contour line.
Consider two waveforms f and g. By calculating the convolution, we determine how much a reversed function g must be shifted along the x-axis to become identical to function f. The convolution function essentially reverses and slides function g along the axis, and calculates the integral of their ( f and the reversed and shifted g ) product for each possible amount of sliding.
Consider the complex logarithm function log z.
Consider the function
The Mind in Consider Phlebas is also described as having internal power sources which function as back-up shield generators and space propulsion, and seeing the rational, safety-conscious thinking of Minds, it would be reasonable to assume that all Minds have such features, as well as a complement of drones and other remote sensors as also described.
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