If this threefold division of costs were to have its counterpart in the actual rates of charge for service, as it actually does have in some rates, there would result a three-part rate for any one class of service.

If organized as a division then the top manager is often known as an Executive Vice President ( for example, Todd Bradley who heads the Personal Systems Group in Hewlett Packard ).

If the corporate President is not the COO ( such as Richard Parsons of Time Warner from 1995 – 2001 ), then many division heads report directly to the CEO themselves, with the President taking on special assignments from the CEO.

The best known example is the ring of quaternions H. If we allow only rational instead of real coefficients in the constructions of the quaternions, we obtain another division ring.

If implemented using remainders of Euclidean division rather than subtractions, Euclid's algorithm computes the GCD of large numbers efficiently: it never requires more division steps than five times the number of digits ( base 10 ) of the smaller integer.

If R is a Euclidean domain in which euclidean division is given algorithmically ( as is the case for instance when R = F where F is a field, or when R is the ring of Gaussian integers ), then greatest common divisors can be computed using a form of the Euclidean algorithm based on the division procedure.

If an isomorphism can be found from a relatively unknown part of mathematics into some well studied division of mathematics, where many theorems are already proved, and many methods are already available to find answers, then the function can be used to map whole problems out of unfamiliar territory over to " solid ground " where the problem is easier to understand and work with.

If time is the responsible factor, it may be possible to delay cell division in clones, giving time for proper reprogramming to occur.

If any of them divides evenly, write 2 at the top of the table and the result of division by 2 of each factor in the space to the right of each factor and below the 2.

If these genes are not expressed, the cell cycle does not continue, effectively inhibiting cell division.

If the chromosome pairs fail to separate properly during cell division, the egg or sperm may end up with a second copy of one of the chromosomes.

If she did not remarry, she lived on in her husband's house and, when the children had grown up, took a child's share in the division of his estate.

If so, the IGWG will invite representatives from the affected FBI division, other federal agencies ( if appropriate ), the affected United States Attorney's office, and IGWG member agencies to meet and further review the case.

* If a module is simple, then its endomorphism ring is a division ring ( this is sometimes called Schur's lemma ).

If there is a repeat division winner, a wild card team will qualify for the play-offs.

If I am not the best man in the heavyweight division, I don't want the title.

If a federal or provincial law has been held contrary to the division of power provisions of one of the various constitution acts, the legislature or parliament must either live with the result, amend the law so that it complies, or obtain an amendment to the constitution.

If there was no veto, and the matter was of a significant nature, there was usually a physical division of the house, where senators voted by taking a place on either side of the chamber.

If they had been allowed to take our mule-train, they could have kept the whole cavalry division supplied.

If only a few of the mtDNA copies inherited from the mother are defective, mitochondrial division may cause most of the defective copies to end up in just one of the new mitochondria ( for more detailed inheritance patterns, see Human mitochondrial genetics ).

If time is the basis for house division, a difference must be made for whether the houses are based on invariant equal hours ( each house represents 2 hours of the sun's apparent movement each day ) or temporal hours ( daytime and night-time divided into six equal parts, but here the temporal hours will vary according to season and latitude.

If space is the basis for house division, the chosen plane is divided into equal arcs of 30 ° each.

If it will simply delay the debates until the qualifications are closed next spring, and then carry all the candidates on a tour of debates, it can provide a service to the state.

If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.

If William wished to continue operations for a year, why not simply leave the Negroes undisturbed and pay them `` as high wages to remain there as are ever paid the labor of persons of their sex & age.

If the valid element indices begin at 0, the constant B is simply the address of the first element of the array.

If A is commutative then the center of A is equal to A, so that a commutative R-algebra can be defined simply as a homomorphism of commutative rings.

If the concentration of element or compound in a sample is too high for the detection range of the technique, it can simply be diluted in a pure solvent.

If there is no number to its left, simply look at the column headed " 1 " in the previous row.

If the tree contains data, we can simply simultaneously store it in a consecutive array in preorder.

If F is clear from context then Ω < sub > F </ sub > may be denoted simply Ω, although different prefix-free universal computable functions lead to different values of Ω.

If requested data is contained in the cache ( cache hit ), this request can be served by simply reading the cache, which is comparatively faster.

If a simply stable system response neither decays nor grows over time, and has no oscillations, it is marginally stable: in this case the system transfer function has non-repeated poles at complex plane origin ( i. e. their real and complex component is zero in the continuous time case ).

If the frame contains areas where nothing has moved, the system simply issues a short command that copies that part of the previous frame, bit-for-bit, into the next one.

If the depletion layer is large enough to catch the whole shower or to stop a heavy particle, a fairly accurate measurement of the particle ’ s energy can be made, simply by measuring the charge conducted and without the complexity of a magnetic spectrometer, etc.

If the panegyric detailing the ceremony implied that the true center of the Empire was not Rome, but where the Emperor sat ("... the capital of the Empire appeared to be there, where the two emperors met "), it simply echoed what had already been stated by the historian Herodian in the early third century: " Rome is where the emperor is ".

If that class is not available, or unknown at compile time, the application simply won't compile.

If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.

If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.

If this does not simply reflect Gregory ’ s ignorance of Kentish affairs, which seems unlikely given the close ties between Kent and the Franks, then some assert that Æthelberht ’ s reign cannot have begun before 589.

# If the remainder from dividing N by 6 is not 2 or 3 then the list is simply all even numbers followed by all odd numbers ≤ N

If a fatwā does not break new ground, then it is simply called a ruling.

If the rock is analyzed and found to be felsic but is metamorphic and has no definite volcanic protolith, it may be sufficient to simply call it a ' felsic schist '.

If some of the units in the fold are facing downward, the structure is called an overturned anticline or syncline, and if all of the rock units are overturned or the correct up-direction is unknown, they are simply called by the most general terms, antiforms and synforms.

The Church would not simply grant this favour, so Henry cited the passage in the Book of Leviticus where it said, " If a man taketh his brother's wife, he hath committed adultery ; they shall be childless.

This can be verified simply by investigating, e. g., a polycrystalline material under a polarizing microscope having the polarizers crossed: If the crystallites are larger than the resolution limit, they will be visible.

Then an element e of S is called a left identity if e * a = a for all a in S, and a right identity if a * e = a for all a in S. If e is both a left identity and a right identity, then it is called a two-sided identity, or simply an identity.