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

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

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

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

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

skullpatrol Group TitleBest ResponseYou've already chosen the best response.2
10000000000000000000000000000000 is an extremely large negative number.
 one year ago

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

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

Alchemista Group TitleBest ResponseYou've already chosen the best response.0
$$\varepsilon$$
 one year ago

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

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

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

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

mathslover Group TitleBest ResponseYou've already chosen the best response.0
We 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 !
 one year ago

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

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

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

Alchemista Group TitleBest ResponseYou've already chosen the best response.0
There 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.
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
i 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
 one year ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
another 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
 one year ago

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

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

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

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

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

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

Alchemista Group TitleBest ResponseYou've already chosen the best response.0
Correct.
 one year ago
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