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 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 transformations of object properties such as size, shape, lighting effects often require calculations and computer rendering instead of simple re-drawing or duplication.

More generally one datum is changed into any other datum using a process called Helmert transformations.

More abstractly, the symplectic group can be defined as the set of linear transformations of a 2n-dimensional vector space over F that preserve a nondegenerate, skew-symmetric, bilinear form.

More technically, when H is invariant under the action of a certain group of transformations G:

More formally, it is the group of transformations that preserve the conformal geometry of the space.

More than one hundred years ago, biocatalysis was employed to do chemical transformations on non-natural man-made organic compounds, and the last 30 years have seen a substantial increase in the application of biocatalysis to produce fine chemicals, especially for the pharmaceutical industry.

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 contemporary renditions include samples from such popular artists as Sam Cooke and The Soul Stirrers ( 1963 ), The Byrds ( 1970 ), Elvis Presley ( 1971 ), Skeeter Davis ( 1972 ), Mighty Clouds of Joy ( 1972 ), Amazing Rhythm Aces ( 1975 ), Willie Nelson ( 1976 ), and The Lemonheads ( 1992 ).

These include Word of God ( established in 1967 ), a charismatic inter-denominational movement ; and the Thomas More Law Center ( established in 1999 ), a religious-conservative advocacy group.

More distant cognates include Latin flagrare (" to blaze, glow, burn "), and Ancient Greek phlegein (" to burn, scorch ").

More invasive procedures include corrective mammoplasty, such as mastopexy, breast reduction, or breast augmentation, depending on the nature of the asymmetry.

More than 30, 000 British drawings and watercolours include important examples of work by Hogarth, Sandby, Turner, Girtin, Constable, Cotman, Cox, Gillray, Rowlandson and Cruikshank, as well as all the great Victorians.

More advanced simulations are starting to include baryons and study the formation of individual galaxies.

More recent efforts to introduce undergraduates to categories as a foundation for mathematics include William Lawvere and Rosebrugh ( 2003 ) and Lawvere and Stephen Schanuel ( 1997 ) and Mirroslav Yotov ( 2012 ).

More realistic models are tailored to a specific problem and include the transition state theory, the calculation of the potential energy surface, the Marcus theory and the Rice – Ramsperger – Kassel – Marcus ( RRKM ) theory.

More unusual variations of the game include mondo croquet, extreme croquet, and bicycle croquet ( perhaps influenced by polo ).

More modern implementations of this kind of dye include Super Azo which is not as deep blue as the earlier Metal Azo.

More recent descriptions include:

More specifically the temporal aspects usually include valid-time and transaction-time.

More than 100 genera have been described, and well known forms include Arkarua, Charnia, Dickinsonia, Ediacaria, Marywadea, Onega, Pteridinium, and Yorgia.

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

These include " Seasons Change " by Exposé, " Thinking of You " by Sa-Fire, " One More Try " by Timmy T, " Because I Love You ( The Postman Song )" by Stevie B, and " If Wishes Came True " by Sweet Sensation.

More recent theories include the clustering of dark matter halos in the bottom-up process.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

More recent Governors-General in this category include Lord Casey, Sir Paul Hasluck, Sir John Kerr, Sir Ninian Stephen, Bill Hayden and Sir William Deane.

More severe withdrawal symptoms which occur can include seizures ( some of which can be fatal ), visual and auditory hallucinations, suicidal ideation, extremely severe panic attacks, depersonalization, tremors, delirium, delirium tremens and if not treated as an emergency by a proper medical staff death from a seizure can occur.

More than 30 concurrent projects include:

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 exotic materials usually only seen on art or ceremonial knives include: Stone, bone, mammoth tooth, mammoth ivory, oosik ( walrus penis bone ), walrus tusk, antler ( often called stag in a knife context ), sheep horn, buffalo horn, teeth, mop ( mother of pearl or " pearl ") etc.

These include Richard Kirwan, John Smeaton, Henry Moyes, John Michell, Pieter Camper, R. E. Raspe, John Baskerville, Thomas Beddoes, John Wyatt, William Thomson, Cyril V. Jackson, Jean-André Deluc, John Wilkinson, John Ash, Samuel More, Robert Bage, James Brindley, Ralph Griffiths, John Roebuck, Thomas Percival, Joseph Black, James Hutton, Benjamin Franklin, Joseph Banks, William Herschel, Daniel Solander, John Warltire, George Fordyce, Alexander Blair, Samuel Parr, Louis Joseph d ' Albert d ' Ailly, the seventh Duke of Chaulnes, Barthélemy Faujas de Saint-Fond, Grossart de Virly ,, Johann Gottling.

More long-term issues include the planning of the construction of new libraries or extensions to existing ones, and the development and implementation of outreach services and reading-enhancement services ( such as adult literacy and children's programming ).