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- Continuous vs Discrete Variables - Mathematics Stack Exchange
Both discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time I am quite aware that discrete variables are those values that you can count while continuous variables are those that you can measure such as weight or height
- Topological properties preserved by continuous maps
You'll find topological properties with indication of whether they are preserved by (various kinds of) continuous maps or not (such as open maps, closed maps, quotient maps, perfect maps, etc ) For mere continuous most things have been mentioned: simple covering properties (variations on compactness, connectedness, Lindelöf) and separability
- How to explain why the probability of a continuous random variable at a . . .
A continuous random variable can realise an infinite count of real number values within its support -- as there are an infinitude of points in a line segment So we have an infinitude of values whose sum of probabilities must equal one Thus these probabilities must each be infinitesimal That is the next best thing to actually being zero We say they are almost surely equal to zero $$\Pr (X
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