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Let B, D be a metric space, p be any positive number, m be a positive integer, and {sn}, n Є N be a sequence in B. Then sn converges to a point c Є B if given there's an m for every p such that n > m, then sn Є N(c, p), the D-pneighborhood of c. c is said to be the limit of sn and can be written sn --> c.
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What is defined as the convergence of lines in the distance?
A vanishing point is defined as a convergence of lines in the distance.
Monotone convergence theorem is true for decreasing sequence?
yes
What term is defined as the convergence of lines in the distance?
vanashing point
Which of these terms is defined as the convergence of lines in the distince?
vanishing point
What term is defined as the convergence of line in the distance?
vanashing point
Every convergent sequence is bounded is the converse is true?
For the statement "convergence implies boundedness," the converse statement would be "boundedness implies convergence."So, we are asking if "boundedness implies convergence" is a true statement.Pf//By way of contradiction, "boundedness implies convergence" is false.Let the sequence (Xn) be defined asXn = 1 if n is even andXn = 0 if n is odd.So, (Xn) = {X1,X2,X3,X4,X5,X6...} = {0,1,0,1,0,1,...}Note that this is a divergent sequence.Also note that for all n, -1 < Xn < 2Therefore, the sequence (Xn) is bounded above by 2 and below by -1.As we can see, we have a bounded function that is divergent. Therefore, by way of contradiction, we have proven the converse false.Q.E.D.
Which these terms is defined as the convergence of line in the distance?
The term for this is Vanishing Point.
Which of these terms is defined as the convergence of lines in the distance?
The term for this is Vanishing Point.
What does a net mean in maths?
It is a generalization of the notion of a sequence used to define the notion of convergence in general topolopgy.
What is the formula for the sequence 136101521?
A sequence cannot be defined by one number. At least, not a sequence of any value.
Which literary term is defined as stories or events told in the sequence in which they happen?
which literary term is defined as stories or events told in the sequence in which they happen
What is the rate of convergence for an iteration method?
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
