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ParthKohli
 one year ago
What exactly do people mean by "small numbers"?
ParthKohli
 one year ago
What exactly do people mean by "small numbers"?

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shubhamsrg
 one year ago
Best ResponseYou've already chosen the best response.0which people ? tell me? :O

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.2As is true with all meaning it depends on the context.

Eyad
 one year ago
Best ResponseYou've already chosen the best response.0A number is smaller if it is less than another number

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1I mean, sometimes they say that numbers like 1.0000001 are small, and sometimes they say that numbers like 10000000000000000000000000000000 are small.

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0It's all subjective.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.210000000000000000000000000000000 is an extremely large negative number.

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Why even worry, you're supposed to know from context?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1I conclude this post by noting down that it is all relative.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.1Good point, they even point out the epsilon.

mathslover
 one year ago
Best ResponseYou've already chosen the best response.0It depends Parth, 1 is smaller than 2 but greater than 0.

Alchemista
 one year ago
Best ResponseYou've already chosen the best response.0I would say \(a\) is smaller than \(b\) if \(a < b\)

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0^that readily extends to complex numbers :)

mathslover
 one year ago
Best ResponseYou've already chosen the best response.0We compare them . Like : 1.00000001 is smaller than 2 but is greater than 0 . We use the word "small" for some numbers comparing them to our real life examples. The speed of a car is 3 km/hr , we say it as small as the normal speed is 6080 km/hr. And we say 3 cakes as enough for a person !

Alchemista
 one year ago
Best ResponseYou've already chosen the best response.0It also extends to arbitrary normed vector spaces

mathslover
 one year ago
Best ResponseYou've already chosen the best response.0As skull already mentioned : It depends on the context.

skullpatrol
 one year ago
Best ResponseYou've already chosen the best response.2When dealing with negative numbers it is better to think about "less than" rather than "smaller than."

Alchemista
 one year ago
Best ResponseYou've already chosen the best response.0There is actually a concept of a "small" number. It is what I stated above. It is in terms of "magnitude" for lack of a better word.

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0i think i agree with Eyad; smaller usually means less than for example i would say that: the smallest value that cosθ can be is negative one i dont agree that the smaller number is necessarily implying the smallest in magnitude

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0another example would be if we were asked to arrange the numbers from smallest to largest i would say that {1000000000,0,1, 1.0000001,2,3,60,80} is correct and that {0,1, 1.0000001,2,3,60,80,1000000000} is incorrect

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0is an infinitesimal a small number?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0im not even sure if an infinitesimal is a number

Alchemista
 one year ago
Best ResponseYou've already chosen the best response.0I would disagree with your sorting example. I would say that you are talking about sorting from least to greatest, not smallest to biggest.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0whatever it is, it is greater than zero but smaller than the smallest number

Alchemista
 one year ago
Best ResponseYou've already chosen the best response.0Less than, greater than != smaller than, bigger than

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0So, @Alchemista if i asked for; the number which is smallest in magnitude , you would say that is tautology? [maybe you are right]
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