limit
n
1 sometimes pl the ultimate extent, degree, or amount of something
the limit of endurance
2 often pl the boundary or edge of a specific area
the city limits
3 often pl the area of premises within specific boundaries
4 the largest quantity or amount allowed
a a value to which a function f(x) approaches as closely as desired as the independent variable approaches a specified value (x = a) or approaches infinity
b a value to which a sequence an approaches arbitrarily close as n approaches infinity
c the limit of a sequence of partial sums of a convergent infinite series
the limit of 1 + ½ + ¼ + 1/8 + ... is 2
6 (Maths) one of the two specified values between which a definite integral is evaluated
7 ♦
the limit
Informal a person or thing that is intolerably exasperating
b forbidden to do or use
smoking was off limits everywhere
9 ♦
within limits to a certain or limited extent
I approve of it within limits
vb tr , -its, -iting, -ited
10 to restrict or confine, as to area, extent, time, etc.
11 (Law) to agree, fix, or assign specifically (C14: from Latin limes boundary) ♦
limitable adj ♦
limitableness n ♦
limitless adj ♦
limitlessly adv ♦
limitlessness n
cash limit
n often pl a limit imposed as a method of curtailing overall expenditure without specifying the precise means of budgetary control
central limit theorem
n (Statistics) the fundamental result that the sum (or mean) of independent identically distributed random variables with finite variance approaches a normally distributed random variable as their number increases, whence in particular if enough samples are repeatedly drawn from any population, the sum of the sample values can be thought of, approximately, as an outcome from a normally distributed random variable
Chandrasekhar limit
n (Astronomy) the upper limit to the mass of a white dwarf, equal to 1.44 solar masses. A star having a mass above this limit will continue to collapse to form a neutron star
(C20: named after S. Chandrasekhar, who calculated it)
elastic limit
n the greatest stress that can be applied to a material without causing permanent deformation
limit man
n (in a handicap sport or game) the competitor with the maximum handicap
limit point
n (Maths) a point in a topological space such that there is at least one other point of the space in every neighbourhood of the given point
0 is the limit point of the sequence 1, ½, ¼, 1/8 ,... (Also called)
accumulation point
Roche limit
n (Astronomy) the distance from the centre of a body, such as a planet, at which the tidal forces are stronger than the mutual gravitational attraction between two adjacent orbiting objects
(C19: named after E. A. Roche (1820--83), French mathematician)
speed limit
n the maximum permitted speed at which a vehicle may travel on certain roads
three-mile limit
n (International law) the range of a nation's territorial waters, extending to three nautical miles from shore
twelve-mile limit
n the offshore boundary 12 miles from the coast claimed by some states as marking the extent of their territorial jurisdiction