We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.

We define these values as Af, and define g{t} in the same way for each T.

Articles of faith are sets of beliefs usually found in creeds, sometimes numbered, and often beginning with " We believe ...", which attempt to more or less define the fundamental theology of a given religion, and especially in the Christian Church.

We then define f ( x, y ) to be this z.

We can then define the differential map d: C < sup >∞</ sup >( M ) → T < sub > x </ sub >< sup >*</ sup > M at a point x as the map which sends f to df < sub > x </ sub >.

We can now define the value

We should not define ' wisdom ' as the absence of folly, or a healthy thing as whatever is not sick.

We cannot define a point except as ' something with no parts ', nor blindness except as ' the absence of sight in a creature that is normally sighted '.

We define the periodic Bernoulli functions P < sub > n </ sub > by

We then define a contravariant functor F from C to D as a mapping that

We need a " mark " to define where we are and which direction we are heading to see if we ever get back to exactly the same pixel.

Verner wrote, " We can conclude that although the ancient Egyptians could not precisely define the value of π, in practice they used it ".

We define the kernel of h to be the set of elements in G which are mapped to the identity in H

We define the degree of to be the number of universal quantifier blocks, separated by existential quantifier blocks as shown above, in the prefix of.

We define the inverse limit of the inverse system (( A < sub > i </ sub >)< sub > i ∈ I </ sub >, ( f < sub > ij </ sub >)< sub > i ≤ j ∈ I </ sub >) as a particular subgroup of the direct product of the A < sub > i </ sub >' s:

We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.

We could also define a Lie algebra structure on T < sub > e </ sub > using right invariant vector fields instead of left invariant vector fields.

* We then define truth-functional operators, beginning with negation.

We can define addition, subtraction, and multiplication on by the following rules:

We can define methods to manipulate these new complex types.

We assume that A is an m-by-n matrix over either the real numbers or the complex numbers, and we define the linear map f by f ( x ) = Ax as above.

We can define a multiplication on the set S using the Steiner triple system by setting aa

We may define a possibly different topology on X using the continuous ( or topological ) dual space X < sup >*</ sup >.

We can also define it as a second component of business which includes all activities, functions and institutions involved in transferring goods from producers to consumer.

" We saw chimpanzees riding rocket sleds, a bear on an impact swing ... We observed a pig, anesthetized and placed in a sitting position on the swing in the harness, crashed into a deep-dish steering wheel at about 10 mph.

There is also a commercial for the " popular " weapons store Ammu-Nation (" We even have the rocket launcher that was used when we whipped Australia's Ass "), a deodorant named " Pitbomb ", which is a parody of Right Guard, and a car called the Maibatsu Thunder, a parody of the Mitsubishi Starion, which was a favored import sports car of the day.

We invited some people to watch and when we pushed the lever, Senna flew out of the window like a rocket.

We also know that the two characters don't have a house as Weebl sold it to buy a rocket ship.

: Before man reaches the moon your mail will be delivered within hours from New York to California, to England, to India or to Australia by guided missiles .... We stand on the threshold of rocket mail.

Years later, in an interview with the American History Channel regarding the flight, Titov claimed that the crew's first action after the escape rocket fired was to deactivate the spacecraft's cockpit voice recorder because, as he put it, " We were swearing ".

We actually heard the rocket being launched.

We will call the first the furnace and the second the refrigerator .” Carnot then explains how we can obtain motive power, i. e. “ work ”, by carrying a certain quantity of heat from body A to body B.

We, adhering faithfully to the tradition received from the beginning of the Christian faith, to the glory of God, our Saviour, the elevation of the Catholic religion and the salvation of Christian peoples, with the approbation of the sacred Council, teach and explain that the dogma has been divinely revealed: that the Roman Pontiff, when he speaks ex cathedra, that is, when carrying out the duty of the pastor and teacher of all Christians by his supreme apostolic authority he defines a doctrine of faith or morals to be held by the universal Church, through the divine assistance promised him in blessed Peter, operates with that infallibility with which the divine Redeemer wished that His church be instructed in defining doctrine on faith and morals ; and so such definitions of the Roman Pontiff from himself, but not from the consensus of the Church, are unalterable.

We also forbid all our subjects, of whatever quality and condition, from carrying off by force or persuasion, against the will of their parents, the children of the said religion, in order to cause them to be baptized or confirmed in the Catholic Apostolic and Roman Church ; and the same is forbidden to those of the said religion called Reformed, upon penalty of being punished with especial severity ....

Arthur and Fenchurch end up carrying him, enduring the robot's constant abuse, to the God's Final Message viewing station, where they lift him up to see the words of the message: " We apologise for the inconvenience.

We find out ( after Taplow leaves ) that Hunter, and Crocker-Harris ' wife, Millie, are carrying on an affair.

We see him carrying a double bass as he climbs onto the train.

We think that each group should soon achieve this ideal ; that any public solicitation of funds using the name of Alcoholics Anonymous is highly dangerous, whether by groups, clubs, hospitals, or other outside agencies ; that acceptance of large gifts from any source, or of contributions carrying any obligation whatever, is unwise.

: We, veteran and active pilots alike, who served and still serve the state of Israel for long weeks every year, are opposed to carrying out attack orders that are illegal and immoral of the type the state of Israel has been conducting in the territories.

Soon afterwards the French created an administrative settlement near them, on the east side of the We river, which became the headquarters of a district (" cercle ") carrying the same name, Bobo-Dioulasso.

" We thought turntables were for playing records until rappers began to use them as instruments, and we thought airplanes were for carrying passengers until terrorists realized they could be used as missiles ," Baxter has said.

" We were the first in Quebec to fight Separatism ," Arcand declared, " and we are carrying on that fight very satisfactorily, swallowing many ex-members of that failing movement.

We need a new sexual code because the old was created by men and no man is in a position to understand the agony of a woman who is carrying a child she knows she cannot feed.

" He also stated: " We recognise that the board has a major responsibility in carrying out our duty in holding the PSNI to account in the interests of justice for the Omagh families.

Another example would be the image of heavily armed military troops carrying a sign saying " We come in peace ," or " NO GRAFFITI " spray painted on a wall.

We then see a woman, draped in flowing gauze, wandering though the forest, carrying the baby wrapped in a blanket.

Goemon appears in the video game series Samurai Warriors and Warriors Orochi ( where he is a self-proclaimed king of thieves, wielding a giant mace and a handheld cannon ), as well as in the video games Kessen III, Ninja Master's-Haoh-Ninpo-Cho-( depicted as a giant bandit hero, also carrying a cannon and seeking to plunder Nobunaga's castle ), Shall We Date?

" Silberman also served briefly as Acting Attorney General during the Watergate crisis, an experience he has described as awkward: " We were simultaneously carrying out President Nixon's agenda and supporting those who were vigorously prosecuting him.

Cablevision issued a statement saying, " We wish Scripps well and have no expectation of carrying their programming again, given the dramatic changes in their approach to working with distributors to reach television viewers.

We have asked our partner factories to help us shoulder the burden, and they ’ re carrying their share of the load.

After the film's release a feminist protest group in Iran called the White Scarf Girls began showing up at football matches carrying banners that read: " We don't want to be Offside " The films U. S. distributor Sony Pictures Classics wrote a letter to the Ministry of Guidance in Iran requesting that the film be shown for at least one week in its home country so that they could launch a campaign to nominate the film for Best Foreign Language Film, but the Ministry refused.

We caused the bulk of the material to be removed, while new continued to fall on that day and the following, on which latter the direction of the wind changed, carrying the ejecta toward Balayan.

Also in 2009, thousands of Arab citizens, some carrying Palestinian flags, marched through the towns of Arrabe and Sakhnin, under the banner, " We are all united under Israeli fascism and racism.

We start by calculating the force between two current carrying wires.

We have had nothing like it since 1878 and a strong whirlwind with it, sweeping every thing before it, pulling trees out of the ground and carrying parts of the hospital all over the island and out on the river ," wrote Ordnance Sergeant James Maxwell.