- 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 "
- Different types of sample spaces in probability
Continuous Models : Probabilistic models with continuous sample spaces differ from their discrete counterparts in that the probabilities of the single-element events may not be sufficient to characterize the probability law Discrete probability law deals with finite sample spaces, but continuous probability models deal with continuous sample
- functional analysis - continuity in the strong topology implies . . .
I have to prove that if T: (E, ‖ ⋅ ‖E) → (F, ‖ ⋅ ‖F) is a continuous and linear operator, and xh ⇀ x in E, than Txh ⇀ Tx in F So we know that T is continuous with respect to the strong topologies, and we want to prove that it is also continuous with respect to the weak ones Is there a simple proof of this fact?
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