"Convergence in probability" is a technical term in relation to a series of random variables. Not clear whether this was your question though, I suggest providing more context.
The rate of convergance for the bisection method is the same as it is for every other iteration method, please see the related question for more info. The actual specific 'rate' depends entirely on what your iteration equation is and will vary from problem to problem. As for the order of convergance for the bisection method, if I remember correctly it has linear convergence i.e. the convergence is of order 1. Anyway, please see the related question.
In advanced mathematics, familiar trigonometric ratios such as sine, cosine or tan are defined as infinite series. For example, sin(x) = x - x3/3! + x5/5! - ... Such series are used to calculate trig ratios and the proof of their their convergence to a specific value depends on calculus.
The region of convergence (ROC) of x(z) is the set of all values of z for which x(z) attains a finite value.
In the beginning of the 20th century, the Indian mathematician Srinivasa Ramanujan found many new formulas for π, some remarkable for their elegance, mathematical depth and rapid convergence.[58] One of his formulas is the series,
Divergence. Convergence means that the series "reaches" a finite value.
"Convergence in probability" is a technical term in relation to a series of random variables. Not clear whether this was your question though, I suggest providing more context.
William John Swartz has written: 'On convergence of infinite series of images' -- subject(s): Infinite Series, Series, Infinite
In mathematics, a series (or sometimes also an integral) is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex-valued series is said to converge absolutely if Absolute convergence is vitally important to the study of infinite series because on the one hand, it is strong enough that such series retain certain basic properties of finite sums - the most important ones being rearrangement of the terms and convergence of products of two infinite series - that are unfortunately not possessed by all convergent series. On the other hand absolute convergence is weak enough to occur very often in practice. Indeed, in some (though not all) branches of mathematics in which series are applied, the existence of convergent but not absolutely convergent series is little more than a curiosity. In mathematics, a series (or sometimes also an integral) is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex-valued series is said to converge absolutely if Absolute convergence is vitally important to the study of infinite series because on the one hand, it is strong enough that such series retain certain basic properties of finite sums - the most important ones being rearrangement of the terms and convergence of products of two infinite series - that are unfortunately not possessed by all convergent series. On the other hand absolute convergence is weak enough to occur very often in practice. Indeed, in some (though not all) branches of mathematics in which series are applied, the existence of convergent but not absolutely convergent series is little more than a curiosity.
Convergence is a noun.
Most bookshops stock the Twilight Series as they are so popular, but if not you can always order them from your local bookshop, or online.
The three types of convergence are geographic convergence (physical distance), technological convergence (integration of different technologies), and economic convergence (alignment of economies).
Convergence analysis is a process used in mathematics and computer science to determine if a sequence or series of values approaches a specific value or function as additional elements are included. It involves evaluating the behavior of the algorithm or method to understand its stability and accuracy. Convergence analysis is crucial in verifying the effectiveness and efficiency of numerical techniques in solving problems.
The motto of Division of IT Convergence Engineering is 'The World's Best in IT Convergence Engineering!'.
The rate of convergence of an iterative method is represented by mu (μ) and is defined as such:Suppose the sequence{xn} (generated by an iterative method to find an approximation to a fixed point) converges to a point x, thenlimn->[infinity]=|xn+1-x|/|xn-x|[alpha]=μ,where μ≥0 and α(alpha)=order of convergence.In cases where α=2 or 3 the sequence is said to have quadratic and cubic convergence respectively. However in linear cases i.e. when α=1, for the sequence to converge μ must be in the interval (0,1). The theory behind this is that for En+1≤μEn to converge the absolute errors must decrease with each approximation, and to guarantee this, we have to set 0
describe convergence in a CRT television receiver
Convergence - journal - was created in 1995.