More bureaucrats were needed in the central administration to deal with the needs of the army, which led to complaints from civilians that there were more tax-collectors in the empire than tax-payers.

More than half of these roads were in central and southern Luzon and three major highways of this island were, and probably still are, Routes 1, 3, and 5.

More recently, psychophysiologists have been equally, or potentially more, interested in the central nervous system, exploring cortical brain potentials such as the many types of event-related potentials ( ERPs ), brain waves, and utilizing advanced technology such as functional magnetic resonance imaging ( fMRI ), MRI, PET, MEG, and other neuroimagery techniques.

More recently, the concept has achieved recognition in the general public in the context of the absence of central indexing servers in architectures used for exchanging multimedia files.

More important, the government ceased all financing from the central bank.

More than 75 % of the population live in the central plain, which stretches between the Alps and the Jura Mountains and from Geneva in the southwest to the Rhine River and Lake Constance in the northeast.

More recently, Hurricane Katrina redistributed over one million people from the central Gulf coast elsewhere across the United States, becoming the largest diaspora in the history of the United States.

More generally, the n < sup > th </ sup >- order forward, backward, and central differences are respectively given by:

More than half of the known F and G stars are binaries, and these are preferentially located within this central region.

The film diverges from both the book and the NBC TV adaptation in focusing on a central character, Second Officer Charles Lightoller, played by More.

More properly it is just the central part of this area which is truly the Vale of York, with the Vale of Mowbray to its north and the Humberhead Levels to its south.

More recent interpretations assume it refers to the dialects of south and central Scotland and Doric, a term once used to refer to Scots dialects in general, is now generally seen to refer to the Mid Northern Scots dialects spoken in the north-east of Scotland.

More specifically, this note related to the concept of the eternal recurrence, which is, by Nietzsche's admission, the central idea of Zarathustra ; this idea occurred to him by a " pyramidal block of stone " on the shores of Lake Silvaplana in the Upper Engadine, a high alpine region whose valley floor is at 6, 000 ft. Nietzsche planned to write the book in three parts over several years.

More than 100 host species have been recorded: Meadow Pipit, Dunnock and Eurasian Reed Warbler are the most common hosts in northern Europe ; Garden Warbler, Meadow Pipit, Pied Wagtail and European Robin in central Europe ; Brambling and Common Redstart in Finland ; and Great Reed Warbler in Hungary.

More isolated wintering grounds are Lake Victoria, the Senegal River estuary, the swamps of the upper Congo River, the inland and sea deltas of the Niger River, and the central Indus River valley.

More than any other religious order, the Jesuits represented the spiritual side of the enterprise and were destined to play a central role in the colonial history of Brazil.

More recently, it has been shown to be upregulated in various carcinomas and to have a central role in tumorigenesis.

' More than any other district in the central city, Forest Hill has become the site of spectacular new ' neo-traditional ' homes built on a grand scale, usually with lawns to match.

More recently, in the essay De la guerre en philosophie ( 2010 ), Lévy was publicly embarrassed when he used, as a central point of his refutation of Kant, the writings of French " philosopher " Jean-Baptiste Botul.

More recent graphics cards even decode high-definition video on the card, offloading the central processing unit.

More than once, he was elected to its central board.

More recently the Australian Study Circles Network has developed as a central resource for study circle practitioners in Australia.

More towards the central axis there are two little sandstone " libraries ", opening to the west, with false windows on upper storeys.

More fundamentally, however, Sir Harry blamed the " intolerable " conditions inside Strangeways in the months leading up to the riots and a " combination of errors " by the prison staff and Prison Service management as a central contributing factor.

More broadly, scholars in the field define aesthetics as " critical reflection on art, culture and nature.

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 technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.

More rigorously, the divergence of a vector field F at a point p is defined as the limit of the net flow of F across the smooth boundary of a three dimensional region V divided by the volume of V as V shrinks to p. Formally,

More precisely, and technically, a Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory.

More generally, a higher temperature and a stronger magnetic field lead to a smaller fraction of the electrons in the superconducting band and consequently a longer London penetration depth of external magnetic fields and currents.

More often than not, a woman serving as a courtesan would last in that field only as long as she could prove herself useful to her companion, or companions.

More recently, this inclined geometry for field stars in the LMC has been confirmed via observations of Cepheids, core helium-burning red clump stars and the tip of the red giant branch.

More importantly, each is associated with a different field of study ; deixis is associated with linguistics, while indexicality is associated with philosophy.

More generally with these operations any field of sets is a Boolean ring.

More precise theory shows that during the action of the laser field, the time-averaged effective potential of H < sub > 2 </ sup >< sup >+</ sup > is formed which binds the electron even if very strong electromagnetic field is present in similarity to the hydrogen molecule ion and prevents ionization.

More generally, every module category over a ring is additive, and so in particular, the category of vector spaces over a field is additive.

Given a differentiable manifold M, a vector field on M is an assignment of a tangent vector to each point in M. More precisely, a vector field F is a mapping from M into the tangent bundle TM so that is the identity mapping

More so than simply sparking improvements in the budding field of home computing and gaming, the Z-80 also sparked a revolution in electronic music, as the first truly programmable polyphonic synthesizers ( as well as their peripherals ) relied heavily on implementations of this CPU.

More precisely, in order to define the covariant derivative of it is necessary first to extend to a continuously differentiable vector field in an open set.

More generally, the same construction allows one to construct a vector field for any Ehresmann connection on the tangent bundle.

More generally, let V be a vector space over a field K, and let

More generally, the general linear group of degree n over any field F ( such as the complex numbers ), or a ring R ( such as the ring of integers ), is the set of n × n invertible matrices with entries from F ( or R ), again with matrix multiplication as the group operation.

More precisely, the divergence theorem states that the outward flux of a vector field through a closed surface is equal to the volume integral of the divergence of the region inside the surface.

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 generalized in the field of economics, cost is a metric that is totaling up as a result of a process or as a differential for the result of a decision.