More recent statements of the theorem are sometimes careful to exclude the equality condition ; that is, the condition is if x ( t ) contains no frequencies higher than or equal to B ; this condition is equivalent to Shannon's except when the function includes a steady sinusoidal component at exactly frequency B.

More careful approaches are needed in terms of thinking about philosophers ( and theologians ) in Islam in terms of phenomenological methods of investigation in ontology ( or onto-theology ), or by way of comparisons that are made with Heidegger's thought and his critique of the history of metaphysics.

More literally, it describes a careful use of facts so as not to reveal too much information, as in speaking carefully.

More obvious folk etymologies include the story that the coffin of St Cuthbert was dropped near Pity Me on the way to Durham, at which point the saint implored the monks carrying him to take pity on him and be more careful ; or that coming to the location during a flight from a Viking raid, a group of monks sang the 51st Psalm, the Latin version of which includes the words " Miserere mei, Deus ", which may be rendered in English as " Pity me, O God ".

More careful cloning of 50 coding genes from Buddenbrockia established the clade as severely modified members of the phylum Cnidaria, with medusozoans as their closest relatives.

" In the book Acting: Onstage and Off, Robert Barton wrote: " established the value of the actor putting himself in the place of the character rather than vice versa ... More than anyone else, Stella Adler brought into public awareness all the close careful attention to text and analysis Stanislavski endorsed.

More dangerous for Black is 8. Ng5, the Alchemy Variation, where Black has to be careful not to fall for various sacrifices on e6 and f7, but White probably does not get enough compensation for the pawn after 8 ... Bg6 9. Ne2 Bd6.

More recently, implementations by Kazushige Goto have shown that blocking only for the L2 cache, combined with careful amortizing of copying to contiguous memory to reduce TLB misses, is superior to ATLAS.

More careful and recent research suggests that this event did indeed take place but during the premiere of his Symphony No. 102.

More recent analyses are more careful by estimation the current status of chemical weapons program in Egypt.

More established and careful archaeologists, including William Flinders Petrie and Howard Carter, the discoverer and primary excavator of the tomb of Tutankhamun, are presented more positively.

More literally, it describes a careful use of facts so as not to reveal too much information.

More information was discovered by careful questions ashore.

More careful speakers use this sound for gimel rafé ( gimel without dagesh ), while pronouncing gimel with dagesh as.

More careful usage calls these terms "< u > generalized </ u > fictitious forces " to indicate their connection to the generalized coordinates of Lagrangian mechanics.

More basic were the underlying approaches to Biblical interpretation.

More contemporary approaches such as Head-driven phrase structure grammar ( HPSG ) model syntactic constructions via the unification of typed feature structures, which are directed acyclic graphs.

More modern and sophisticated approaches seek to maintain the idea of the morpheme while accommodating non-concatenative, analogical, and other processes that have proven problematic for Item-and-Arrangement theories and similar approaches.

More recently, structural equation modeling and path analysis represent more sophisticated approaches to working with large covariance matrices.

More elegant and abstract approaches are described below.

More recent " empirical " approaches to optical illusions have had some success in explaining optical phenomena with which theories based on lateral inhibition have struggled ( e. g. Howe et al.

More innovative approaches to Guerrilla marketing now utilize mobile digital technologies to engage the consumer and create a memorable brand experience.

More “ extreme ” approaches also promote continuous testing throughout the development lifecycle, as well as having a working ( or bug-free ) product at all times.

More structured or “ waterfall ” based approaches attempt to assess the majority of risks and develop a detailed plan for the software before implementation ( coding ) begins, and avoid significant design changes and re-coding in later stages of the software development lifecycle planning.

More than twenty toll booths were built, closing off all approaches to the city.

More than 8, 000 students are enrolled at the College, which provides distinctive traditional and alternative approaches to education.

More formally, the fact that the functions f and g both approach 0 as x approaches some limit point c is not enough information to evaluate the limit

More commonly, however, other approaches have been used.

More subtle and indirect approaches become necessary.

More highly functioning schizotypals who have some capacity for empathy and emotional warmth tend to have better outcomes in psychodynamic approaches to treatment.

More recently, farm sanitation has greatly improved and effective testing has been developed for bovine tuberculosis and other diseases, making other approaches to ensuring safety of milk more feasible ; however, pasteurization continues to be widely used to prevent infected milk from entering the food supply.

More generally, according to MacIntyre it is the case that moral disputes always take place within and between rival traditions of thought that make recourse to a store of ideas, presuppositions, types of arguments and shared understandings and approaches that have been inherited from the past.

More recent criticism has come at the novel from feminist, sociopolitical and formalist directions, though some critics have demurred at these approaches as somewhat anachronistic for what remains, after all, very much a product of the Victorian era.

More recently, Item Response Theory approaches have been adopted with some success in identifying item response profiles that flag fakers.

More generally, an asymptotic formula is " a statement of equality between two functions which is not a true equality but which means the ratio of the two functions approaches 1 as the variable approaches some value, usually infinity ".

More sophisticated approaches are used in the determination of trace metals and organic compounds.

More potent a charm to bring back that time of life than this record of a few pictures and a few remembered facts would be a catalogue of the minutiae which are of the very stuff of the mind, intrinsic, because they were known in the beginning not by the eye alone but by the hand that held them.

More importantly, several of the more advanced of the less developed countries have found through experience that they must plan their own complex investment programs for at least 5 years forward and tentatively for considerably more than that if they are to be sure that the various interdependent activities involved are all to take place in the proper sequence.

More than 36 other big Navy ships are no less than a day's sailing time away.

More often, these offices are restricted to the gathering of empirical data.

we are concerned with Utopian communism -- that is, simply communism as it appears in the imaginary commonwealth of Utopia, as More conceived it.

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.

More than half of the sorghum and barley seeds we produce and most of the byproducts of the milling of cereals and the crushing of oilseeds are fed to livestock.

More than 200 million tons of seeds and seed products are fed to livestock annually in the United States.

More than 500 juniors and seniors are taking part in the program and 100 firms offer jobs on an educational rather than a need basis.

More than 200 are expected at the autumn event which is matched in the spring.

More than 300 teenagers last Sunday proved there is and as many more are expected to prove it again for Jim Kern and his wife Lynn from 4 to 8 p.m. Sunday at First Presbyterian Church.

More and more boats move overland on wheels ( 1.8 million trailers are now in use ) and Midwesterners taking long weekends can travel south with their craft.

More modern classifications are based upon cladistics.

More problematic are words whose senses express closely related concepts.

More advanced methods of locating objects in the sky include telescope mounts with setting circles, which assist with pointing telescopes to positions in the sky that are known to contain objects of interest, and GOTO telescopes, which are fully automated telescopes that are capable of locating objects on demand ( having first been calibrated ).

More common are antigens that are presented by tumor cells and normal cells, and they are called tumor-associated antigens ( TAAs ).

More primitive models hold quite a few people in exchange for producing considerable pollution, but later models are denser and cleaner.