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Page "Congruence relation" ¶ 31
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# and Given
# Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f ( x )
# Given any two distinct points, there is exactly one line incident with both of them.
# Given any two distinct lines, there is exactly one point incident with both of them.
# Given an array of values to be sorted, set up an auxiliary array of initially empty " pigeonholes ," one pigeonhole for each key through the range of the original array.
# Composition operator ( also called the substitution operator ): Given an m-ary function and m k-ary functions:
# Primitive recursion operator: Given the k-ary function and k + 2-ary function:
# Minimisation operator: Given a ( k + 1 )- ary total function:
# Given a large enough beta-tester and co-developer base, almost every problem will be characterized quickly and the fix obvious to someone.
# Given any element a of G, a ~ a ( reflexivity );
# Given any elements a and b of G, if a ~ b, then b ~ a ( symmetry );
# Given any elements a, b, and c of G, if a ~ b and b ~ c, then a ~ c ( transitivity );
# Given any elements a, a ', b, and b ' of G, if a ~ a ' and b ~ b ', then a * b ~ a ' * b ' ;
# Given any open cover
# Given u and v in W, then they can be expressed as u = ( u < sub > 1 </ sub >, u < sub > 2 </ sub >, 0 ) and v = ( v < sub > 1 </ sub >, v < sub > 2 </ sub >, 0 ).
# Given u in W and a scalar c in R, if u = ( u < sub > 1 </ sub >, u < sub > 2 </ sub >, 0 ) again, then cu = ( cu < sub > 1 </ sub >, cu < sub > 2 </ sub >, c0 ) = ( cu < sub > 1 </ sub >, cu < sub > 2 </ sub >, 0 ).
# Given name: Lǐ Jìnhái ()
Given that the state itself is the # 1 producer of raspberries in the country, with over 87. 8 % of the crop in 2002, this makes Whatcom County responsible for almost 75 % of the nation's raspberry production.
# Given the final layout, circuit extraction computes the parasitic resistances and capacitances.
# Retrieve: Given a target problem, retrieve from memory cases relevant to solving it.
# Given a list of arguments, a list of applicable methods is determined.
# Launched Global Food Crisis Response Program: Given grants to approximately 40 nations for seeds, etc.
# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub >, there is a unique fold that passes through both of them.
# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub >, there is a unique fold that places p < sub > 1 </ sub > onto p < sub > 2 </ sub >.
# Given two lines l < sub > 1 </ sub > and l < sub > 2 </ sub >, there is a fold that places l < sub > 1 </ sub > onto l < sub > 2 </ sub >.

# and any
# for any formula with one free variable.
# It is not mentioned in any records of the ecumenical councils.
# It is only for two years ( 490 and 491 ) out of the twenty-five that any details are given.
# Adaptive stage-The person will not experience any negative symptoms, and believe they have capacity for alcohol.
# Background frequency of exposure to tuberculosis: In one hypothesis, in areas with high levels of background exposure to tuberculosis, every susceptible individual is already exposed prior to BCG, and the natural immunizing effect of background tuberculosis duplicates any benefit of BCG.
# Perform brain scans to observe any abnormal brain functioning using either CT or MRI scans
# In any spontaneous process, there is always an increase in entropy of the universe
# The fourth punishment was called referre in aerarios or facere aliquem aerarium, and might be inflicted on any person who was thought by the censors to deserve it.
# The intersection of any collection of convex sets is convex.
# any civil or military servicemen suspected of working for Imperial Russia ;
# any other person whose private property was valued at over 10, 000 rubles.
# Blockade: Use the US Navy to block any missiles from arriving in Cuba.
# any serious effort to make the world better requires some kind of organized effort ;
# is a valid element name, and an instance of such an element contains any number of elements.
# Are there any solutions?
# Are there any solutions beyond some that are easily found by inspection?
# what, if any, should be the laws of war
# These moral features of the world are not reducible to any set of non-moral facts.
# " To draw a straight line from any point to any point.
# " To describe a circle with any centre and distance.
# any measures taken in response must be " strictly required by the exigencies of the situation ", and
# Freshwater swamp forest – Natural forests with > 30 % canopy cover, composed of trees with any mixture of leaf type and seasonality, but in which the predominant environmental characteristic is a waterlogged soil.
# Lower montane forest – Natural forests with > 30 % canopy cover, between 1200 – 1800 m altitude, with any seasonality regime and leaf type mixture.
# Upper montane forest – Natural forests with > 30 % canopy cover, above altitude, with any seasonality regime and leaf type mixture.

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