More explicitly, it is stating that for every indexed family of nonempty sets there exists an indexed family of elements such that for every.

More explicitly, an energy T < sub > R </ sub > S is not available to do useful work, where T < sub > R </ sub > is the temperature of the coldest accessible reservoir or heat sink external to the system.

More explicitly, the action groupoid is the set with source and target maps s ( g, x )

More explicitly stated:

Ackroyd notes that More explicitly " approved of Burning " After the case of John Tewkesbury, a London leather-seller found guilty by More of harbouring banned books and sentenced to burning for refusing to recant, More declared: he " burned as there was neuer wretche I wene better worthy.

More, relying on legal precedent and the maxim " qui tacet consentire videtur " ( literally, who ( is ) silent is seen to consent ), understood that he could not be convicted as long as he did not explicitly deny that the King was Supreme Head of the Church, and he therefore refused to answer all questions regarding his opinions on the subject.

It is not known whether the king or his Lord Chancellor, Thomas More, explicitly approved the plan.

More recently Paul Ernest has explicitly formulated a social constructivist philosophy of mathematics.

More explicitly, an injective continuous map f: X → Y between topological spaces X and Y is a topological embedding if f yields a homeomorphism between X and f ( X ) ( where f ( X ) carries the subspace topology inherited from Y ).

More recently, the space opera series Firefly used an explicitly Western theme for its portrayal of frontier worlds.

" More explicitly: that the expressionists rejected the ideology of realism.

More explicitly: For every symmetric real matrix A there exists a real orthogonal matrix Q such that D = Q < sup > T </ sup > AQ is a diagonal matrix.

More recent films that have explicitly explored parallel universes are: the 2000 film The Family Man, the 2001 cult movie Donnie Darko, which deals with what it terms a " tangent universe " that erupts from our own universe ; Super Mario Bros. ( 1993 ) has the eponymous heroes cross over into a parallel universe ruled by humanoids who evolved from dinosaurs ; The One ( 2001 ) starring Jet Li, in which there is a complex system of realities in which Jet Li's character is a police officer in one universe and a serial killer in another, who travels to other universes to destroy versions of himself, so that he can take their energy ; and FAQ: Frequently Asked Questions ( 2004 ), the main character runs away from a totalitarian nightmare, and he enters into a cyber-afterlife alternative reality.

More explicitly, one can equivalently write

More explicitly, suppose for example that, and that, and so on.

More explicitly, Kosmann's local expression given in 1972 is:

More recently, the common good rhetoric is being used by political actors in an explicitly religious context, such as Kansans for Faithful Citizenship.

More explicitly, F is, up to isomorphisms in C, characterized by the following universal property:

More explicitly, a coequalizer can be defined as an object Q together with a morphism q: Y → Q such that q ∘ f = q ∘ g. Moreover, the pair ( Q, q ) must be universal in the sense that given any other such pair ( Q ′, q ′) there exists a unique morphism u: Q → Q ′ for which the following diagram commutes:

More explicitly this means that apart from the topological obstruction there is no other obstruction to the existence of a holonomic solution.

More recently, it has been explicitly described by some cartoon characters, including Roger Rabbit, Bonkers D. Bobcat, and Yakko, Wakko, and Dot, who say that toons are allowed to bend or break natural laws for the purposes of comedy.

More explicitly, in refusing to judge tropes as entities unto themselves, Longinus promotes the appreciation of literary devices as they relate to passages as a whole.

More than that, Sam Rayburn is the very living symbol of an iron-clad integrity so powerful in his nature and so constantly demonstrated that he can count some of his best friends in the opposition.

More unitized lumber is being shipped on flat cars, and NLRDA studies show that flat cars loaded with the new Type 6-B floating-load method can be unloaded for as little as $.054/mbf.

More and more boats move overland on wheels ( 1.8 million trailers are now in use ) and Midwesterners taking long weekends can travel south with their craft.

More indirectly, Christie ’ s famous character of Hercule Poirot can be compared to an archaeologist in his detailed scrutiny of all facts both large and small.

More alpha channels can be added for accurate spectral color filtration applications.

More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

More than one string orchestra can be utilized.

More general type of asymptotes can be defined in this case.

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 generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.

More than half of these can be found in the HSBC Money Gallery ( Gallery 68 ), while the remainder form part of the permanent displays throughout the Museum.

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

More generally, compact sets can be separated by open sets: if K < sub > 1 </ sub > and K < sub > 2 </ sub > are compact and disjoint, there exist disjoint open sets U < sub > 1 </ sub > and U < sub > 2 </ sub > such that and.

More generally, electric current can be represented as the rate at which charge flows through a given surface as:

More complicated grammars can be used to parse, and other languages with even more letters.

More generally, the idea of a contractive mapping can be defined for maps between metric spaces.

More precisely, objects can be reachable in only two ways:

More recent developments have seen the conversion of AVLB and truck launched bridge with launching systems that can be mounted on either tank or truck for bridges that are capable of supporting heavy main battle tanks.

More generally, one can consider finite direct sums of matrix algebras.

More precisely, it tries to classify problems that can or cannot be solved with appropriately restricted resources.

More and more frequently can the American habit of having men dressed as Święte Mikołaje at malls to hear out children's requests be observed in Poland.

More detailed pictures of the tangle of blood vessels that compose an AVM can be obtained by using radioactive agents injected into the blood stream.

More generally a disjunction is a logical formula that can have one or more literals separated only by ORs.

More links are then connected to that person ’ s link so you can remember what colour their shirt was, what the weather was like when you met them, etc.