More sophisticated theories are valence bond theory which includes orbital hybridization and resonance, and the linear combination of atomic orbitals molecular orbital method which includes ligand field theory.

More sophisticated space elevator designs reduce the energy cost per trip by using counterweights, and the most ambitious schemes aim to balance loads going up and down and thus make the energy cost close to zero.

More sophisticated techniques will show proportional differences in optical density.

More sophisticated models can be made using a combination of etched sheets of brass and low temperature castings.

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 problematic, and never properly addressed by Cumont or his successors, is how real-life Roman Mithraists subsequently maintained a quite complex and sophisticated Iranian theology behind an occidental facade.

More sophisticated versions may make specific desired changes to the deck's order, while still appearing to be an innocuous normal cut.

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

More sophisticated methods of signal processing are also used in order to recover useful radar signals.

More sophisticated routers, such as enterprise routers, connect large business or ISP networks up to the powerful core routers that forward data at high speed along the optical fiber lines of the Internet backbone.

Other biographers, such as Peter Ackroyd, have offered a more sympathetic picture of More as both a sophisticated philosopher and man of letters, as well as a zealous Catholic who believed in the authority of the Holy See over Christendom.

More sophisticated transformations include set operations on closed shapes ( union, difference, intersection, etc.

More sophisticated tests use a torsion balance of a type invented by Eötvös.

More sophisticated attackers use DDoS tools for the purposes of extortioneven against their business rivals.

More sophisticated cryptographic systems, such as Anonymous Digital credentials, enable users to communicate pseudonymously ( i. e., by identifying themselves by means of pseudonyms ).

More sophisticated methods may be used to optimize resources across campaigns so that one may predict to which channel and to which offer an individual is most likely to respond ( across all potential offers ).

More sophisticated methods are used in practice for natural language generation.

More recent studies using more sophisticated methodologies have generally refuted these findings: density, land use and public transport accessibility can influence travel behaviour, although social and economic factors, particularly household income, usually exert a stronger influence.

More sophisticated devices which use a graphical screen with touch sensing or screen-edge buttons provide flexibility while minimizing space used: the meaning of the buttons can change with the screen, and selection involves the natural behavior of pointing at what's desired.

More experienced players understand the power of the bishop, but a more sophisticated understanding is required.

More sophisticated tools, worked on both sides of the stone and dating to 600, 000 BC, were found in the Cave of Escale at Saint Estėve-Janson, and tools from 400, 000 BC and some of the first fireplaces in Europe were found at Terra Amata in Nice.

More sophisticated forecasting can include other aspects of traveler decisions, including auto ownership, trip chaining ( the decision to link individual trips together in a tour ) and the choice of residential or business location ( known as land use forecasting ).

More sophisticated systems allow for more information such as lateral and longitudinal acceleration ( or G-force ), throttle position, steering wheel position and brake pressure.

More sophisticated methods were developed and later adopted elsewhere.

More sophisticated turbines ( such as those found in modern jet engines ) may have multiple shafts ( spools ), hundreds of turbine blades, movable stator blades, and a vast system of complex piping, combustors and heat exchangers.

More complex formulas and procedures apply for such cases, but in its simplest form the critical buckling load formula is given as Equation ( 3 ),

More recent evaluation of P2P resource discovery solutions under real workloads have pointed out several issues in DHT-based solutions such as high cost of advertising / discovering resources and static and dynamic load imbalance.

More often, the term server hog is used to designate an unusual load condition where the server performance falls short of the culturally accepted baseline.

More advanced TV tuners encode the signal to Motion JPEG or MPEG, relieving the main CPU of this load.

More practically, judges feel that their courts are overburdened and fear that having the reputation of a forum favorable to certain types of plaintiffs will increase their work load, thus delaying the timely dispensation of justice in other cases.

More mechanical advantage can be obtained if this end is attached to the moving load rather than the fixed end of the tackle.

More importantly for users, the data for web page navigation is transmitted only once, which makes for faster web page display for readers and reduces the data transmission load on the Internet, in contrast to CSS which must resend the navigation data for every page that needs it.

More of the wall surface than ever before was pierced by windows ( see for example the Sainte-Chapelle in Paris ) and buildings were often given lace-like tracery screens on the exterior to hide the bulk of load bearing wall elements and buttresses ( such as at Strasbourg Cathedral or the Church of St Urbain in Troyes ).

More detailed instructions may be obtained from your local building supply houses and craftsmen.

More rarely, a script may have separate letters for tones, as is the case for Hmong and Zhuang.

More complex alkenes may be named using the E-Z notation, used to describe molecules having three or four different substituents ( side groups ).

More specialized bicycle components may require more complex tools, including proprietary tools specific for a given manufacturer.

More complexly, an economy may be unable to export enough goods to pay for its imports, but is able to find funds elsewhere.

More recent research into the Pygmy subspecies suggests this may be an underestimate.

More direct government involvement can lead to specific areas of crony capitalism, even if the economy as a whole may be healthy.

More complex computations may involve many operations and data elements together.

( More rarely, crystals may be deposited directly from gas ; see thin-film deposition and epitaxy.

* More than one assignment may be performed in a single statement.

More conceptually, this rule expresses the fact that a change in the x < sub > i </ sub > direction may change all of g < sub > 1 </ sub > through g < sub > k </ sub >, and any of these changes may affect f.

More generally, unspecific coercion may be the form taken by disciplinary coercion, and this appears to be in fact the case within the most effective command systems of the modern world.

More generally among Baptists, a variety of parachurch agencies and evangelical educational institutions may be supported generously or not at all, depending entirely upon the local congregation's customs and predilections.

More broadly speaking, Chinese classic texts may refer to texts, be they written in vernacular Chinese or in classical Chinese, that existed before 1912, when the last imperial Chinese dynasty, the Qing Dynasty, fell.

" In addition to the various works of Brewster already mentioned, the following may be added: Notes and Introduction to Carlyle's translation of Legendre's Elements of Geometry ( 1824 ); Treatise on Optics ( 1831 ); Letters on Natural Magic, addressed to Sir Walter Scott ( 1832 ); The Martyrs of Science, or the Lives of Galileo, Tycho Brahe, and Kepler ( 1841 ); More Worlds than One ( 1854 ).

More generally, values may be of any of the kinds described as a level of measurement.

More rarely, other beaters such as cartwheel mallets ( known to kit drummers as " soft sticks ") may be used.

More generally, a function may map equivalent arguments ( under an equivalence relation ~< sub > A </ sub >) to equivalent values ( under an equivalence relation ~< sub > B </ sub >).

More generally, a function may map equivalent arguments ( under an equivalence relation on ) to equivalent values ( under an equivalence relation on ).

More broadly, eschatology may encompass related concepts such as the Messiah or Messianic Age, the end time, and the end of days.

More recent experiments have suggested that these morphological descriptions of endocytic events may be inadequate, and a more appropriate method of classification may be based upon the clathrin-dependence of particular pathways, with multiple subtypes of clathrin-dependent and clathrin-independent endocytosis.

More generally, one may use the fact that the operators do not commute,

More generally, the observed IQ improvement may be the result of the slow reduction in environmental neurotoxins, including lead, cadmium, mercury, unfiltered coal smoke, tobacco, and ethanol.