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If C sues B to collect the debt, B can raise his counterclaim for the expenses caused by the poor paint job, and can reduce the amount owed to C by that $ 400, leaving only $ 100 to be collected.
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If and C
If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.
If the vertex is at Af, and if the interior of C is on the left as one moves in the direction of increasing t, then every such corner can be found from the curve obtained by rotating C clockwise through 90-degrees about the vertex.
If, for example, a string sounds the note C when plucked, a string twice as long will sound the same note an octave lower.
If F is an antiderivative of f, and the function f is defined on some interval, then every other antiderivative G of f differs from F by a constant: there exists a number C such that G ( x ) = F ( x ) + C for all x.
Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.
If F and G are ( covariant ) functors between the categories C and D, then a natural transformation η from F to G associates to every object X in C a morphism in D such that for every morphism in C, we have ; this means that the following diagram is commutative:
If one statement is true in a category C then its dual will be true in the dual category C < sup > op </ sup >.
If is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).
If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.
If we assume the controller C, the plant P, and the sensor F are linear and time-invariant ( i. e., elements of their transfer function C ( s ), P ( s ), and F ( s ) do not depend on time ), the systems above can be analysed using the Laplace transform on the variables.
If φ is C < sup > k </ sup >, then the inhomogeneous equation is explicitly solvable in any bounded domain D, provided φ is continuous on the closure of D. Indeed, by the Cauchy integral formula,
* If ƒ ( z ) is locally integrable in an open domain Ω ⊂ C, and satisfies the Cauchy – Riemann equations weakly, then ƒ agrees almost everywhere with an analytic function in Ω.
If X is a topological space and M is a complete metric space, then the set C < sub > b </ sub >( X, M ) consisting of all continuous bounded functions ƒ from X to M is a closed subspace of B ( X, M ) and hence also complete.
If we look for solutions that have the form, where C is a constant, we discover the relationship, and thus must be one of the complex numbers or.
If only layer C changes, we should find a way to avoid re-blending all of the layers when computing F. Without any special considerations, four full-image blends would need to occur.
The well-known historian of physics, C. P. Snow, says about him, " If Fermi had been born a few years earlier, one could well imagine him discovering Rutherford's atomic nucleus, and then developing Bohr's theory of the hydrogen atom.
If and sues
If Mary sues in tort, she is entitled to damages that put herself back to the same financial position place she would have been in had the misrepresentation not been made.
The company then plays charades ( in the current production, with members from the audience ) to finish several statements posed by Jesus, including " If a man sues you for your shirt ..." and " If a man asks you to go one mile with him ....".
If an individual or organization merely enters into a contract or asserts a contractual right outside of court is it not state action, but if an individual or organization sues to judicially enforce a contractual right it is state action ( Shelley v. Kraemer, 334 U. S. 1 ( 1948 ));
If, for example, there are three partners, and the creditor sues all of them for the outstanding loan amount and one of them pays the liability, the creditor cannot recover further amounts from the partners who did not contribute to the liability.
If the repossessor sells the asset for an appropriate amount, and if that amount is less than the amount of the loan, and if the repossessor sues the debtor for the balance ( plus reasonable fees if applicable ) in a timely manner, the debtor may be liable to pay the balance ( sometimes called the " deficiency ").
If and B
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
** If S is a set of sentences of first-order logic and B is a consistent subset of S, then B is included in a set that is maximal among consistent subsets of S. The special case where S is the set of all first-order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem ; see the section " Weaker forms " below.
If the valid element indices begin at 0, the constant B is simply the address of the first element of the array.
If the numbering does not start at 0, the constant B may not be the address of any element.
If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.
If X and Y are Banach spaces over the same ground field K, the set of all continuous K-linear maps T: X → Y is denoted by B ( X, Y ).
If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.
If and we have for all v, w in V, then we say that B is symmetric.
In addition to acting and occasionally directing, Campbell has become a writer, starting with an autobiography, If Chins Could Kill: Confessions of a B Movie Actor published on August 24, 2002.
If the sets A and B are equal, this is denoted symbolically as A = B ( as usual ).
If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).
* Indicative conditional, a conditional in the form of " If A then B " in natural languages
If an atom A is double-bonded to an atom B, A is treated as being singly bonded to two atoms: B and a ghost atom that has the same atomic number as B but is not attached to anything except A.
If A admits a totally ordered cofinal subset, then we can find a subset B which is well-ordered and cofinal in A.
If two cofinal subsets of B have minimal cardinality ( i. e. their cardinality is the cofinality of B ), then they are order isomorphic to each other.
If and collect
If the gentry refused to collect the King's taxes, the Crown would lack any practical means with which to compel them.
The first documented appearance of the word " nerd " is as the name of a creature in Dr. Seuss's book If I Ran the Zoo ( 1950 ), in which the narrator Gerald McGrew claims that he would collect " a Nerkle, a Nerd, and a Seersucker too " for his imaginary zoo.
If not, he will tell her father where she is and collect the reward offered for her return.
If the motive for this is to collect the inheritance, society has no difficulty in ignoring the motive and convicting the killer.
If the player answers the question correctly, their turn continues ; if the player's piece was on one of the category headquarters spaces, they collect a wedge of the same color, which fits into their playing piece.
:‘ If to collect cigarette cards is a sign of eccentricity, how then will posterity judge one who amassed the biggest collection in the world?
Joe Rhodes of TV Guide considered Grampa's most memorable line to be " If I'm not back at the home by nine, they declare me legally dead and collect my insurance.
If the purpose of the game is to collect as many cards as possible of one suit, then the danger of the game is discarding cards of that same suit.
* Bowler gets the bull shit, If a bowler is hit into an area which is inhospitable, hard to field or of a large distance away from the playing field they are required to collect the ball.
If it is restricted then the issue arises of how to collect the tax on media which can also be used for other purposes.
If you calculate the added overhead required to collect VAT, businesses collecting VAT have less profits overall than businesses collecting sales tax.
If the player had failed to collect ten, Marvin would invariably ask for one of the missing ones.
After this, Howerdel clarified the band's current stance on a future album, stating " Right now the intention is not to put out a ( full album ) but just to release some songs along the way, and then they might be re-imagined and put together in some collection ... If you need to have an album then there will be something more like a photo album where you collect these things and you put them in.
If she is, then the game is completed, but if she is not then the user will have to collect another token to activate the " Friz-finder " to try again.
If a coffee filter doesn't possess enough strength, it will tear or rupture, and many of the coffee grains will collect in the coffee pot.
If a player's game piece is on the " Start " space when another player lands on " Daylight Savings ", they simply collect another $ 325 and leave the game piece on " Start.
If a particular type of leaf is toxic to the fungus, the colony will no longer collect it.
If voters cannot physically get to a polling place, they may authorise another person to collect their ballot for them.
If the owner continues to hold the ADR past the effective date of termination, the depositary bank will continue to hold the foreign deposited securities and collect dividends, but will cease distributions to ADR owners.
If you collect all five letters, you get the bonus prize.
If a clickfocus model such as this is being used, the current application window continues to retain focus and collect input, even if the mouse pointer is over another application window.
If we formally multiply out this product and collect all the x < sup > 2 </ sup > terms ( we are allowed to do so because of Newton's identities ), we see that the x < sup > 2 </ sup > coefficient of sin ( x )/ x is
If a state did not pay, Congress could collect directly from its cities and counties.
If found, carpenters would be dispatched to the building, and work would be done to eliminate any objects or places where stagnant water could collect.
If Olimar doesn't collect all 25 mandatory ship parts within this 30 day time limit, his ship's life support systems will fail and Olimar will die from oxygen poisoning.
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