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The Hurst parameter H is a measure of the extent of long-range dependence in a time series (while it has another meaning in the context of self-similar processes). H takes on values from 0 to 1. A value of 0.5 indicates the absence of long-range dependence. [8] The closer H is to 1, the greater the degree of persistence or long-range dependence.
The first, smallest, and only odd prime gap is the gap of size 1 between 2, the only even prime number, and 3, the first odd prime. All other prime gaps are even. There is only one pair of consecutive gaps having length 2: the gaps g 2 and g 3 between the primes 3, 5, and 7.
1. B = 3 2. A = B + 1 3. B = 7 Example: MUL R3,R1,R2 ADD R2,R5,R6 It is clear that there is anti-dependence between these 2 instructions. At first we read R2 then in second instruction we are Writing a new value for it. An anti-dependency is an example of a name dependency. That is, renaming of variables could remove the dependency, as in the ...
The degree of dependence between variables X and Y does not depend on the scale on which the variables are expressed. That is, if we are analyzing the relationship between X and Y, most correlation measures are unaffected by transforming X to a + bX and Y to c + dY, where a, b, c, and d are constants (b and d being positive).
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
In mathematics, a function is a rule for taking an input (in the simplest case, a number or set of numbers) [5] and providing an output (which may also be a number). [5] A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. [6]
The equivalence closure of is denoted or (,,) and called (,,)-equivalence. Informally, p ≡ q {\displaystyle p\equiv q} holds if the string p {\displaystyle p} can be transformed into q {\displaystyle q} by a finite sequence of swaps of adjacent independent symbols.
A collection of numbers which is not rationally independent is called rationally dependent. For instance we have the following example. , ⏞, + ⏟ ...