Density of Real Numbers : Math Conversions & Calculations

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Real numbers are those that can be expressed rationally. Learn about the density of real numbers with help from an experienced mathematics educator in this free video clip.

Expert: Marija Kero
Filmmaker: Victor Varnado

Series Description: Most advanced mathematical concepts really aren't that difficult once you boil them down to their base essentials. Get tips on the basics of math with help from an experienced mathematics educator in this free video series.
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Комментарии
Автор

Correction:

Subsethood is denoted by ''⊂" (there are others). The notation used in the video is elementhood. So 1 ∈ R but {1, 2} ⊂ R. A dense subset of X is a set Y where we can always generate a sequence of numbers in X that converge to a chosen element of Y. For example if we have X=R and Y=Q, we have a sequence that converges to pi. Namely 3, 31/10, 314/100, 3141/1000...

I-Must-Be-Mad
Автор

That's not right entirely correct. Integers and whole numbers are NOT dense in the real numbers. Maybe according to your inaccurately simplified definition, but that's not the accepted mathematical definition of a dense set or the density property.

AsaNole
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Yikes - I was looking for a good intro video on the real line, and found this. Unfortunately, the symbols and vocabulary used in this video are NOT CORRECT, and will mislead students. It would be best to take this video down.

TM-zcse
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Pretty much everything she says and writes here is wrong. This video should be removed immediately.

Monkeyslinger