Note that a locally finite Borel measure automatically satisfies μ ( C ) < ∞ for every compact set C.

Note that this calendar will normally need to add a 53rd week to every 5th or 6th year, which might be added to December or might not be, depending on how the organization uses those dates.

Note that, in a metric space, every compact subset is closed and bounded.

Note that no consistent timeline has yet accommodated every single Conan story.

Methods PUT and DELETE are defined to be idempotent, meaning that multiple identical requests should have the same effect as a single request ( Note that idempotence refers to the state of the system after the request has completed, so while the action the server takes ( e. g. deleting a record ) or the response code it returns may be different on subsequent requests, the system state will be the same every time ).

Note that not every probability distribution has a defined mean ; see the Cauchy distribution for an example.

Since we've assumed that we can infallibly identify programs for computing squares, we can determine whether t, which depends on a and i, is such a program, and that for every a and i ; thus we have obtained a program that decides whether program a halts on input i. Note that our halting-decision algorithm never executes t, but only passes its description to the squaring-identification program, which by assumption always terminates ; since the construction of the description of t can also be done in a way that always terminates, the halting-decision cannot fail to halt either.

Note that in between some cases, the roles and labels of the nodes are exchanged, but in each case, every label continues to represent the same node it represented at the beginning of the case.

Note that every part of the machine — its state and symbol-collections — and its actions — printing, erasing and tape motion — is finite, discrete and distinguishable ; it is the potentially unlimited amount of tape that gives it an unbounded amount of storage space.

* Variable Coupon Renewable Note, a debt security where the interest is reset every week

Note, however, that a language wishing to index arrays from 1 could simply adopt the convention that every " array address " is represented by a ′ = a – s ; that is, rather than using the address of the first array element, such a language would use the address of an imaginary element located immediately before the first actual element.

Note the Semi-log plot | logarithmic vertical scale ; the line corresponds to exponential growth with transistor count doubling every two years.

Note that by the binomial series and (*) above, for every,

**** Note that this axiom precludes the possibility that the consumer cannot decide, and that a consumer is able to make this comparison with respect to every conceivable bundle of goods.

Note that there is one axiom for every such predicate φ ; thus, this is an axiom schema.

Note that the tautology problem for positive Boolean formulae remains co-NP complete, even though the satisfiability problem is trivial, as every positive Boolean formula is satisfiable.

12 to General Sir H. Rawlinson, 16 June 1916 Stating the Objectives ') and that preparations should be made for an advance of to Bapaume should German resistance crumble, " If the first attack goes well every effort must be made to develop the success to the utmost by firstly opening a way for our cavalry and then as quickly as possible pushing the cavalry through to seize Bapaume ...." ( Note O. A. D.

Note: Population has less than 100 permanent residents, but grows to 900 every summer months, due to seasonal migrant labor stays there ( Hispanics are the main contributor ) and forms the hub of the Mexican community of the Sevier Desert.

Note: Dream does not appear in every issue of The Sandman, nor did he appear in the first DC Comics The Sandman series, although several supporting characters in the Vertigo series did.

( Note: President Lincoln was popular, and many cities named streets after him, so not every " Lincoln Way " is in fact the Lincoln Highway.

Note that on a compact geometry, not every straight line comes back to its starting point.

Note also that there is a great deal of variety within the Valencian Community, and by no means do the features below apply to every local version.

Note for completeness that condition ( 1 ) fails: any map t: B → A must map every two-cycle to the identity because the map has to be a group homomorphism, while the order of a two-cycle is 2 which can not be divided by the order of the elements in A other than the identity element, which is 3 as A is the alternating subgroup of, or namely the cyclic group of order 3.

Note that because all matches are found, there can be a quadratic number of matches if every substring matches ( e. g. dictionary =,,, and input string is ).

Note: Burst transmission enables communications between data terminal equipment ( DTEs ) and a data network operating at dissimilar data signaling rates.

Note: During the 1980s, common control exchanges became stored program control exchanges, using common-channel signaling in which the channels that are used for signaling, whether frequency bands or time slots, are not used for message traffic.

Note that when a T-carrier system is used as in North America, robbed bit signaling can mean that a DS0 channel carried over that system is not an error-free bit-stream.

Note 1: Burst transmission in isochronous form enables communication between data terminal equipment ( DTE ) and data networks that operate at dissimilar data signaling rates, such as when the information-bearer channel rate is higher than the DTE output data signaling rate.

Note that in Bell's work, and in more detail in Maudlin's work, it is shown that the nonlocality does not allow for signaling at speeds faster than light.

( Note: Myer's signaling system should not be confused with semaphore signaling.

Note that this method is for auto-discovery alone ; LDP is still used for signaling.

Note the data signaling rate will still be 1Gbit / s, which can be misleading depending on methodologies used to test throughput after link aggregation is employed.

Note that it is often rational to improve a system in an order that is " non-optimal " in this sense, given that some improvements are more difficult or consuming of development time than others.

Note that this is before the effects of round-off error are taken into account ; conditioning is a property of the matrix, not the algorithm or floating point accuracy of the computer used to solve the corresponding system.

Note: Version 1. 6 effectively coincided with the release of Valve Software's Steam content delivery system on September 12, 2003.

Note that positions on a surface in navigation use latitude and longitude in a similar two dimensional system.

Note however that working with the current two form itself and the exterior derivative is usually easier than working with the vector field and divergence, because unlike the divergence, the exterior derivative commutes with a change of ( curvilinear ) coordinate system.

Note that HDLC operates as a statistical multiplexing system.

Note that the previous expression holds true only if the kinetic energy flow rate is conserved between system inlet and outlet.

Note: The head of state in a " presidential " system may not actually hold the title of " president "-the name of the system refers to any head of state who actually governs and is independent of the legislature.

Note that is positive while is negative ; in any reversible work-extracting process, entropy is overall not increased, but rather is moved from a hot ( high-entropy ) system to a cold ( low-entropy one ), decreasing the entropy of the heat source and increasing that of the heat sink.

Note that round trip latency excludes the amount of time that a destination system spends processing the packet.

Note that from the perspective of the smaller-mass object — from the moon, in the preceding example — a spacecraft might appear to orbit in an irregular path about the or point, but from the perspective above the orbital plane, it becomes clear that both the smaller mass and the spacecraft are orbiting the larger mass ( or more precisely, all of the objects are in orbit around the barycenter of the system ); they simply have overlapping orbital paths.

Note that the example net given above on the neighborhood system of a point x does indeed converge to x according to this definition.

Note that a measurement of a qubit state entangled with another quantum system transforms a pure state into a mixed state.

Note also that the oar can be used to provide a drag force ( a force acting against the forward motion ) when the system is brought to rest.

Note that using a hierarchical system like this ( assuming it is done carefully ) changes the intersection computational time from a linear dependence on the number of objects to something between linear and a logarithmic dependence.

Note: A seven-official system was not used until the 1978 season.

Note that a system need not include source code derived in any way from AT & T Unix to meet the specification.

Note this publication predated the modern pinyin transliteration system

Note that, in a linear time-invariant system, the input frequency has not changed, only the amplitude and the phase angle of the sinusoid has been changed by the system.