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What is the difference between differentiable and continuous I have always treated them as the same thing But recently, some people have told me that the two terms are different So now I am wondering, What is the difference between "differentiable" and "
is bounded linear operator necessarily continuous? This property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator Yes, a linear operator (between normed spaces) is bounded if and only if it is continuous
What is a continuous stochastic process? - Mathematics Stack Exchange So, there will be a discontinuity at time k Isn't this violating the definition of continuous stochastic process or is it that I have to keep ω ω constant throught out the process ? Also, is ω ω in the definition of continuous stochastic process the outcome at any point of time or is it the string of the outcomes that occurs till time
Understanding definition of a continuous random variable In the continuous case, where random variables can take on values on a continuous scale, the procedure is very much the same The outcomes of experiments are represented by the points on line segments or lines, and the values of random variables are numbers appropriately assigned to the points by means of rules or equations