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.

2 ) More accurately estimate the total population of wild bongo through faecal DNA analysis, camera trapping and transect surveying.

More recently, a collection of summarisation techniques has been formulated under the heading of exploratory data analysis: an example of such a technique is the box plot.

" More precisely, it is " the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference.

More recently, scholars have expanded their work to include analysis of television and digital media.

More generally, functional analysis includes the study of Fréchet spaces and other topological vector spaces not endowed with a norm.

More recently builders have begun to collaborate with structural engineers who use computers and finite element analysis to design prefabricated steel-framed homes with known resistance to high wind-loads and seismic forces.

More complex multivariate analyses are sometimes used when multiple characteristics are involved and a univariate analysis could produce confounded results.

More advanced statistical methods employed by some I – O psychologists include logistic regression, multivariate analysis of variance, structural equation modeling, and hierarchical linear modeling ( HLM ; also known as multilevel modeling ).

More generally, non-standard analysis is any form of mathematics that relies on non-standard models and the transfer principle.

More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.

More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.

More and more adults are staying single and according to an analysis of census data conducted at Bowling Green State University in Ohio, they say the divorce numbers will continue to rise.

More recent historians, such as Donald Kagan and R. J. Buck, have tended to support this analysis, pointing to the role that Thrasybulus played in crafting Athenian strategy in all these battles, and specifically to the decisive action he took at Cyzicus, which saved Alcibiades's force from being swamped, and turned a potential Athenian defeat into a stunning victory.

More recently, in 1995, Professor Alfred P. Smyth argued that the Life is a forgery by Byrhtferth ( who simply ' adopted ' the name of the obscure Asser from the references to him in other records ), basing his case primarily on an analysis of Byrhtferth's and Asser's Latin vocabulary.

More recently, designs created using computer-aided design techniques may be transferred as a digital file directly to a computer printer or plotter ; in some applications paper is avoided altogether and work and analysis is done directly from digital displays.

More exotic secret information, such as encryption keys, diplomatic message traffic, policy and orders of battle are usually restricted to analysts on a need-to-know basis, in order to protect the sources and methods from foreign traffic analysis.

More influential, however, was Freudian philosophy, which informed much of his analysis of propaganda and communication in general.

More recent studies question this analysis.

More sophisticated analysis includes the use of differential equations, as detailed below.

More precisely, the vorticity of a flow is a vector field, equal to the curl ( rotational ) of its velocity field v. It can be expressed by the vector analysis formula, where is the nabla operator.

More recent analysis has shown that the danger of grey goo is far less likely than originally thought.

More broadly, it is the general analysis of nature, conducted in order to understand how the world and universe behave.

More recently, analysis of DNA sequence data has provided information on the Sylvioidea.