If the city council fails to consider appointment of a full-time CD director, Mr. Hawksley said, then he plans to call a meeting early in September so that a civil defense organization will be developed locally.

If μ is both inner regular and locally finite, it is called a Radon measure.

* If G is a locally compact Hausdorff topological group and μ its Haar measure, then the Banach space L < sup > 1 </ sup >( G ) of all μ-integrable functions on G becomes a Banach algebra under the convolution xy ( g ) = ∫ x ( h ) y ( h < sup >− 1 </ sup > g ) dμ ( h ) for x, y in L < sup > 1 </ sup >( G ).

* 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 equipped with the weak topology, then addition and scalar multiplication remain continuous operations, and X is a locally convex topological vector space.

If C is a locally small category ( i. e. the hom-sets are actual sets and not proper classes ), then each object A of C gives rise to a natural functor to Set called a hom-functor.

If X is an object of a locally small category C, then the assignment defines a covariant functor.

If local governments and private organizations are to carry out decentralized functions effectively, they must have an adequate level of revenues, either raised locally or transferred from the central government, as well as the authority to make decisions about expenditures.

If this information is stored locally on one backend server, then subsequent requests going to different backend servers would not be able to find it.

If a red link is not appropriate locally for whatever reason, such as because the subject does not appear to be notable, then linking to the other language page may be useful.

If this connection is the Levi-Civita connection induced by a Riemannian metric, then the geodesics are ( locally ) the shortest path between points in the space.

If we consider a general locally compact group and the connected component of the identity, we have a group extension

If the sample is oriented so that one particular plane is only slightly tilted away from the strongest diffracting angle ( known as the Bragg Angle ), any distortion of the crystal plane that locally tilts the plane to the Bragg angle will produce particularly strong contrast variations.

* If all connected components of X are open ( for instance, if X has only finitely many components, or if X is locally connected ), then a set is clopen in X if and only if it is a union of connected components.

If a category is such that all its slice categories are cartesian closed, then it is called locally cartesian closed.

If it is a smooth affine variety, then all extensions of locally free sheaves split, so group has an alternative definition.

If for each, is a locally compact group, and for each, is an open compact subgroup, then the restricted product

If X is an algebraic variety carrying the Zariski topology, we can define a locally ringed space by taking O < sub > X </ sub >( U ) to be the ring of rational functions defined on the Zariski-open set U which do not blow up ( become infinite ) within U. The important generalization of this example is that of the spectrum of any commutative ring ; these spectra are also locally ringed spaces.

If X and Y are locally compact spaces and p: Y → X is a proper local homeomorphism, then p is a covering map.

If the Ricci tensor vanishes, then the canonical bundle is flat, so the structure group can be locally reduced to a subgroup of the special linear group SL ( n, C ).

If we want to ignore the physics inside the conductor and only describe the physics in the outside region, it becomes natural to mathematically describe the quantum electron by a section in a complex line bundle with an " external " connection rather than an external EM field ( by incorporating local gauge transformations we have already acknowledged that quantum mechanics defines the notion of a ( locally ) flat wavefunction ( zero momentum density ) but not that of unit wavefunction ).

If ∇ is a metric connection, then the affine geodesics are the usual geodesics of Riemannian geometry and are the locally distance minimizing curves.

If later analyses indicates that the remnants were of only mature wild seeds of a type of plant that grows locally, it could be inferred that the site was only visited seasonally.

* If G is a topological group and G is locally compact at one point, then G is locally compact everywhere.

If life and death did not both present themselves to us, there would be no inscrutability.

If a child watched its progress he whispered, `` Hay, hay, load of hay -- make a wish and turn away '', and then stared rigidly in the opposite direction until the sound of the horses' feet returned no more.

If there's no suitable academy in your own neighborhood, there's always New England.

If he condemns the recent or the present, he condemns the past with no less force.

If you cut down these horrible buildings you'll have no more traffic jams.

If they do as well as they did in 1960 there can be no complaint.

If there were no West Berlin problem, imperialist quarters would have invented an excuse for stepping up the armaments race to try to solve the internal and external problems besetting the United States and its NATO partners.

If either one ever started making promises, there is no telling where the promises would end.

If the case is thus determined by us to be domestic, the court has no jurisdiction.

If their schedules were to synchronize, there was no point in wasting time.

If nothing is produced, there is no obligation to repay.

If your principal place of abode for the tax year is outside the United States ( including Alaska and Hawaii ), Puerto Rico, or the Virgin Islands and you have no legal residence or principal place of business in any Internal Revenue district in the United States, you should file your return with the Office of International Operations, Internal Revenue Service, Washington 25, D.C..

If we return to them today, we have no difficulty spotting their weaknesses but we find them still pleasing.

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

If you travel over the vast U.S.A. you will, no doubt, discover that feeding is an expensive business.

If no specific organization plan exists limiting the number of scientists at each salary level, the result is a department top-heavy with high-level, high-salaried personnel ''.

If of the founders of glottochronology Swadesh has escaped our steady plodding, and Lees has repudiated his own share in the founding, that is no reason why we should swerve.

If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.

If anyone asked us, after we made the remark that the suffering was a bad thing, whether we should think it relevant to what we said to learn that the incident had never occurred and no pain had been suffered at all, we should say that it made all the difference in the world, that what we were asserting to be bad was precisely the suffering we thought had occurred back there, that if this had not occurred, there was nothing left to be bad, and that our assertion was in that case mistaken.

If, at any time during the assignment pass, the compiler finds that there are no more index words available for assignment, the warning message `` No More Index Words Available '' will be placed in the object program listing, the table will be altered to show that index words 1 through 96 are available, and the assignment will continue as before.

If the compiler finds that there are no more electronic switches available for assignment, the warning message `` No More Electronic Switches Available '' will be placed in the object program listing, the table will be altered to show that electronic switches 1 through 30 are available, and assignment will continue as before.

If a child does lose his first teeth prematurely because of decay -- and if no preventive steps are taken -- the other teeth may shift out of position, become overcrowded and malformed.

A retired professional killer If he was just a nut, no harm was done.

If one asks about this play, what it is that comes upon this community and works within it with such terrible power, there is no better answer to give than `` spirit ''.

If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.