More can participate, either as individuals or pairs or as teams of up to six, in formal tournaments or social gatherings where the governing rules of the event are prescribed by the sponsoring host.

More recently Bertrand Russell sought to develop a formal language based on logical atoms.

More recently, thinkers have struggled to find a definition that could encompass formal differences as great as those between Chaucer's Canterbury Tales and Matsuo Bashō's Oku no Hosomichi, as well as differences in context spanning Tanakh religious poetry, love poetry, and rap.

More precisely, if A is a finite set of generators for G then the word problem is the membership problem for the formal language of all words in A and a formal set of inverses that map to the identity under the natural map from the free monoid with involution on A to the group G. If B is another finite generating set for G, then the word problem over the generating set B is equivalent to the word problem over the generating set A.

More formal definitions exist, but they require substantial mathematics.

More importantly, the very idea that formal rules can be applied to areas outside of logic or mathematics, may itself have been catalyzed by Europe's contact with the work of Sanskrit grammarians.

More slowly the conquest eventually changed the agricultural classes and village life: the main immediate change appears to have been the formal elimination of slavery, which may or may not have been linked to the invasion.

Erasmus and More promoted ecclesiastical reform while remaining faithful Catholics, and had ridiculed such monastic practices as repetitive formal religion, superstitious pilgrimages for the veneration of relics and the accumulation of monastic wealth.

More conventional variations allow prior restrictions on scope, agenda, and groupings, e. g. couples or interest groups or tendency or factions or even formal parties.

More formal music organizations also exist within the bi-college consortium.

More formal plans as used for business and military purposes, while initially created with and as an abstract thought, are likely to be written down, drawn up or otherwise stored in a form that is accessible to multiple people across time and space.

More than 180 named mathematical facts have so benefited from formal codification.

More formal training was established with the formation of the Society of American Fight Directors in 1977.

More recently logicians have begun to approach the phenomenon from a formal point of view.

More formal gardening texts such as the Geoponika ( 10th century ) were in fact encyclopedias of accumulated agricultural practices ( grafting, watering ) and pagan lore ( astrology, plant sympathy / antipathy relationships ) going back to Hesiod's time.

More recently, however, it has become common for a flight to be led by a squadron leader — a formal rank distinct from a squadron commander — equivalent to an army major or naval lieutenant commander.

More formal arrangements took shape in the 1960s and expanded in the 1970s.

More pervasive is the status-contamination people undergo by being mixed with people of different statuses and ages, and the denial of the right to hold oneself above others via a formal style of address.

More generally, an n-dimensional formal group law is a collection of n power series

* More generally, we can construct a formal group law of dimension n from any algebraic group or Lie group of dimension n, by taking coordinates at the identity and writing down the formal power series expansion of the product map.

" More formal mathematical descriptions of this relation are often called the term structure of interest rates.

More recently, the Constitution Act 1986 has become the principal formal statement of New Zealand's constitution.

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 complex techniques use

More complex assistive technology devices have been developed over time, and as a result, sports for people with disabilities " have changed from being a clinical therapeutic tool to an increasingly competition-oriented activity ".

More complex mathematical modeling continues to be done today.

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 complex computations may involve many operations and data elements together.

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

More complex forms of monist dualism also exist, for instance in Hermeticism, where Nous " thought "-that is described to have created man-brings forth both good and evil, dependent on interpretation, whether it receives prompting from the God or from the Demon.

More complex circuits can be analyzed numerically with software such as SPICE or GNUCAP, or symbolically using software such as SapWin.

More complex engines using human power, animal power, water power, wind power and even steam power date back to antiquity.

" More complex variants use computer modeling of actual games based on statistical input generated by professional sports.

More complex to achieve is a display of radiation dose rate, displayed in a unit such as the sievert.

More complex protein hormones bear carbohydrate side-chains and are called glycoprotein hormones.

More recent research has shown the situation to be more complex.

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

More complex molecules have many bonds, and their vibrational spectra are correspondingly more complex, i. e. big molecules have many peaks in their IR spectra.

More complex rewritings involving modus tollens are often seen, for instance in set theory:

More than one standard can be applied to any case based on multiple jurisdictions and numerous other factors in relation to complex state and federal law ; dependant on which jurisdiction and country one is in.

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 complex systems will have more layers of neurons with some having increased layers of input neurons and output neurons.

More complex experiments, such as those involving stochastic processes defined in continuous-time, may demand the use of more general probability measures.