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ParthKohli
 2 years ago
What exactly do people mean by "small numbers"?
ParthKohli
 2 years ago
What exactly do people mean by "small numbers"?

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

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

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

ParthKohli
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0It's all subjective.

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

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

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

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

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

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

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

mathslover
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0It also extends to arbitrary normed vector spaces

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

skullpatrol
 2 years 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
 2 years 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
 2 years 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
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0is an infinitesimal a small number?

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

Alchemista
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0whatever it is, it is greater than zero but smaller than the smallest number

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

UnkleRhaukus
 2 years 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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