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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 elements a and a ' of G, if a ~ a ', then a − 1 ~ a ' − 1 ( this can actually be proven from the other four, so is strictly redundant ).

# Given any open cover

# Given u and v in W, then they can be expressed as u = ( u 1 , u 2 , 0 ) and v = ( v 1 , v 2 , 0 ).

# Given u in W and a scalar c in R, if u = ( u 1 , u 2 , 0 ) again, then cu = ( cu 1 , cu 2 , c0 ) = ( cu 1 , cu 2 , 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 1 and p 2 , there is a unique fold that passes through both of them.

# Given two points p 1 and p 2 , there is a unique fold that places p 1 onto p 2 .

# Given two lines l 1 and l 2 , there is a fold that places l 1 onto l 2 .

# and artifact

# Lack of an open standard can also become problematic for the customers, as in case of the original vendor's inability to fix a certain problem that is an artifact of technical limitations in the original product.

* The hull of the whaling vessel Niantic, an artifact of the 1849 California Gold Rush, lay almost exactly beneath the Transamerica Pyramid, and the location is marked by a historical plaque outside the building ( California Historical Landmark # 88 ).

# redirect Compression artifact

# An instantiation is the realization of an artifact in its environment.

# Build an artifact to perform a specific task.

# Evaluate the artifact to determine if any progress has been achieved.

# REDIRECT compression artifact

# Instances where a functionally equivalent external artifact replaces functions that are normally performed internally by the agent, which is a special case of offloading.

# REDIRECT Out-of-place artifact

# REDIRECT artifact

In Transformers: Defiance issue # 1, back on ancient Cybertron Jazz is among Optimus ' crew at an excavation site near the temple at Simfur where an artifact is uncovered.

# The image contributes significantly to the article in question, since it illustrates a unique artifact belonging to a lost material culture.

# REDIRECT Social artifact

# 100 Fathoms Under ( 1947 ) Rick and Scotty travel to the South Pacific in search of an ancient archaeological artifact.

# Zack Zero: Zack gains the personalities of any historical artifact he touches.

# and whose

# Every sequence in A has a convergent subsequence, whose limit lies in A.

# any other person whose private property was valued at over 10, 000 rubles.

# Variables represent numbers whose values are not yet known.

# The oxides are dissolved in nitric acid that excludes one of the main components, cerium, whose oxide is insoluble in HNO 3 .

* Sam Rockwell as Guy Fleegman, the actor who played " Crewman # 6 " in the original series and whose given name is as generic as his role.

# Prominent individuals whose outing would shatter stereotypes and compel the public to reconsider its attitude on homosexuality ;

# Many Poles living in emigrant communities ( for example in the USA ), whose families left Poland just after World War II, retain a number of minor features of Polish vocabulary as spoken in the first half of the 20th century that now sound archaic, however, to contemporary visitors from Poland.

# Features whose longest dimension is less than 100 meters are not assigned official names unless they have exceptional scientific interest.

# The membrane is then exposed to a hybridization probe — a single DNA fragment with a specific sequence whose presence in the target DNA is to be determined.

# God: There is one living, eternal, and true God, a Person beyond space and time, who possesses perfect intellect, emotion and will, whose deepest nature is heart and love, who combines both masculinity and femininity, who is the source of all truth, beauty, and goodness, and who is the creator and sustainer of man and the universe and of all things visible and invisible.

# Diet: Following a low-oxalate diet may help those whose urine oxalate levels are high and may be causing or exacerbating irritation.

# Aufrica, married William de Say, and whose grandson Roger de Mandeville was one of the competitors to the crown in 1291

The theme was recorded by The Ventures, whose version reached # 4 on the Billboard Hot 100 pop chart, and is particularly popular with college and high school marching bands, especially at the University of Hawaii where it has become the unofficial fight song.

# A modem whose modulated output signal can have an essential frequency spectrum that is broader than that which can be wholly contained within, and faithfully transmitted through, a voice channel with a nominal 4 kHz bandwidth.

# A modem whose bandwidth capability is greater than that of a narrowband modem.

# Damping Factor a. k. a. viscous damping coefficient ( Physical Engineering ) ( units of newton-seconds per meter )-relates a damping force with the velocity of the object whose motion is being

# Provide morphosyntactic rules for creating verb forms and nominal forms whose seven cases are called karaka ( similar to case ) that generate the morphology

Peers wear ceremonial Privilege_of_peerage # Robes | robes, whose designs are based on their rank.

Beginning in 1997, the Topps Baseball Card company retired the card # 7 in its base sets in tribute to Mantle, whose career was taking off just as Topps began producing baseball cards.

# First cell whose division was synchronized, leading to the first insights into the existence of cell cycle control mechanisms.

# The father of Machir of Lo-debar, in whose house Mephibosheth resided ( 2 Sam.

# Isabel Marshal ( 9 October 1200 – 17 January 1240 ), married ( 1 ) Gilbert de Clare, 5th Earl of Hertford, whose daughter Isabel de Clare married Robert Bruce, 5th Lord of Annandale, the grandfather of Robert the Bruce ; ( 2 ) Richard Plantagenet, Earl of Cornwall

# As meaning, whose purpose is persuasion ; and

In 1939, Fox co-created ( with artist Bert Christman ) the character of the Sandman, a gasmask-wearing costumed crime-fighter whose first appearance in Adventure Comics # 40 ( July 1939 ) was pre-empted by an appearance in New York World's Fair Comics ( for which Fox also wrote a Zatara story ).

# Members whose balances exceed specified limits ( positive or negative ) are obliged to move their balance back towards zero by spending or earning.

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