Furthermore, the middle number of the Lo Shu is not only the physical mean between every opposing pair of the other numbers, by reason of its central position ; ;

Furthermore, he could go on repeating the maneuver endlessly: every time he went in the bedroom, he could drop a slip or a brassiere, or maybe a girdle, next to his shorts.

Furthermore, for every a ∈ A we have that a ∧-a = 0 ∈ I and then a ∈ I or-a ∈ I for every a ∈ A, if I is prime.

Furthermore, time worked in their favour, as every day brought the arrival of the Spartans closer.

Furthermore, the pirate mechanics have also changed: the pirate moves through the middle of the map in a fixed path every turn, and attacks the owner of any nearby settlements.

Furthermore, in every EU country outside Scandinavia ( except Belgium ), trade union membership is either static or continues to decline .”

) Furthermore, a ring of formal power series in one variable over a field is a PID since every ideal is of the form.

Furthermore, since Tantra dissolved the dichotomy of spiritual versus mundane, practitioners could entail every aspect of their daily lives into their spiritual growth process, seeking to realize the transcendent in the immanent.

* Universal constructions are functorial in nature: if one can carry out the construction for every object in a category C then one obtains a functor on C. Furthermore, this functor is a right or left adjoint to the functor U used in the definition of the universal property.

Furthermore, sensor manufacturers do not produce every possible sensor size, but take incremental steps in sizes.

Furthermore, an ordered field is complete if every non-empty subset of it that has an upper bound within the field has a least upper bound within the field, which should be compared to the ( slightly different ) order-theoretical notion of bounded completeness.

Furthermore, every polynomial is its own Maclaurin series.

Furthermore, Merrill finds himself increasingly compelled to use the Sun – the dog slowly advancing as it transforms into something more savage and monstrous with every picture he takes.

" Furthermore, from a communication to President Robert P. Hooper of the American Automobile Association, the article quoted Clark's opinion that, " I believe the time has come for the general Government to actively and powerfully co-operate with the States in building a great system of public highways ... that would bring its benefits to every citizen in the country.

Furthermore, the Gregorian calendar drops 3 leap days every 400 years to closely approximate the length of a solar year.

Furthermore, Gore argued that the consequence of ruling the Florida recount unconstitutional simply because it treated different voters differently would effectively render every state election unconstitutional and that each method has a different rate of error in counting votes.

Furthermore, the hundreds of trucks that transport toxic loads travel in and out of the city every day.

Furthermore, for every object A, the identity function on the underlying set of A must be a morphism from A to A, and the composition of a morphism from A to B followed by a morphism from B to C must be a morphism from A to C.

Furthermore, given such a group G, Langlands constructs the Langlands dual group < sup > L </ sup > G, and then, for every automorphic cuspidal representation of G and every finite-dimensional representation of < sup > L </ sup > G, he defines an L-function.

Furthermore, every subgroup of G is a partially ordered group: it inherits the order from G.

Furthermore, machines broke down more frequently both because they were used by workers not familiar with them, and because no maintenance could be performed on machines that were never idle in factories with continuous schedules ( 24-hours / day every day ).

* Furthermore, since your city is regarded with affection by the adherents of three of the great religions of mankind and its soil has been consecrated by the prayers and pilgrimages of multitudes of devout people of these three religions for many centuries, therefore, do I make it known to you that every sacred building, monument, holy spot, shrine, traditional site, endowment, pious bequest, or customary place of prayer of whatsoever form of the three religions will be maintained and protected according to the existing customs and beliefs of those to whose faith they are sacred.

Furthermore they are entitled to an official car with driver and every four years a private service car, which can be used by the spouse and which remains property of the government once she / he leaves office.

Furthermore, because f is differentiable at g ( a ) by assumption, Q is continuous at g ( a ).

Furthermore, ι < sup >− 1 </ sup > is also continuous, so ι is a homeomorphism.

Furthermore, cyclotrons are able to produce a continuous stream of particles at the target, so the average power passed from a particle beam into a target is relatively high.

Furthermore, some LGBT people disapprove of using queer as a catch-all because they consider it offensive, derisive or self-deprecating given its continuous use as a form of hate speech.

Furthermore, if timber is regularly removed from the forest and turned into lasting wood products, those products continue sequestering carbon, while the replacement tree farm trees absorb more carbon dioxide, thus effecting a continuous reduction in greenhouse gas.

Furthermore, as a result of Mavis Beacon's continuous use in computer typing software, and her image on millions of software boxes, many consumers have reported confabulations ( false memories ) of Mavis Beacon winning typing contests or appearing on talk shows.

Furthermore, the Brunton Pocket Transit, commonly employed for field measurements by geologists and archaeologists, has been in continuous use since 1894.

Furthermore, the 3rd Tank Army was harassed and severely damaged by continuous German aerial attacks with Junkers Ju 87 Stuka dive bombers.

Furthermore Conrad's realm was exposed to the continuous raids of the Hungarians since the disastrous defeat of the Bavarian forces at the 907 Battle of Pressburg, leading to a considerable decline in his authority.

Furthermore, continuous efforts towards the education of officers were initiated.

Furthermore, the normal derivative is of w a well-defined continuous function on S. This makes simple layers particularly suited to the study of the Neumann problem for the Laplace equation.

Furthermore, at a frequency of 60 flashes per second, persistence of vision smooths out the sequence of flashes so that the perceived image is continuous.

Furthermore, a detailed analysis of the discrete case shows that the diffusion equation provides a unifying link between continuous and discrete scale spaces, which also generalizes to nonlinear scale spaces, for example, using anisotropic diffusion.

Furthermore for a material to become more ductile ( quasi-plastic ) and undergo continuous deformation ( flow ) without fracturing, the following deformation mechanisms ( on a grain scale ) have to be taken into account:

Furthermore, continuous efforts towards the education of officers were initiated.

Furthermore, for Gâteaux differentials that are linear and continuous in ψ, there are several inequivalent ways to formulate their continuous differentiability.

Furthermore, the continuous state space of CNN processors, with slight modifications that have no equivalent in Cellular Automata, creates emergent behavior never seen before.

Furthermore, a map f: A → B is a homomorphism of Boolean algebras if and only if it is a homomorphism of Boolean rings.

Furthermore, Milowice was placed on a 1561 map.

Furthermore, because ontologies are topic maps themselves, they can also be merged thus allowing for the automated integration of information from diverse sources into a coherent new topic map.

Furthermore, the elements that are actually in P are precisely those whose reflection vanishes at P. So if we think of the map, associated to any element a of A:

Furthermore, Möbius transformations map generalized circles to generalized circles since circle inversion has this property.

Furthermore, both of these functions can always be written as functions of η, even when η ( θ ) is not a one-to-one function, i. e. two or more different values of θ map to the same value of η ( θ ), and hence η ( θ ) cannot be inverted.

Furthermore, it is easy to check that f < sup > − 1 </ sup > ( like any inverse image map ) preserves finite intersections and arbitrary unions and therefore is a morphism of frames.

If f is flat and locally of finite presentation, then f is universally open .< ref > EGA IV < sub > 2 </ sub >, Théorème 2. 4. 6 .</ ref > However, if f is faithfully flat and quasi-compact, it is not in general true that f is open, even if X and Y are noetherian .< ref > EGA IV < sub > 2 </ sub >, Remarques 2. 4. 8 ( i ).</ ref > Furthermore, no converse to this statement holds: If f is the canonical map from the reduced scheme X < sub > red </ sub > to X, then f is a universal homeomorphism, but for X noetherian, f is never flat .< ref > EGA IV < sub > 2 </ sub >, Remarques 2. 4. 8 ( ii ).</ ref >

Furthermore, if two points on the 3-sphere map to the same point on the 2-sphere, i. e., if p ( z < sub > 0 </ sub >, z < sub > 1 </ sub >)

Furthermore, the map φ ↦ φ < sup > an </ sup > maps open immersions into open immersions.

Furthermore, Animagus disguises, Polyjuice Potion, and Invisibility Cloaks cannot fool the map, as shown in Goblet of Fire when Barty Crouch, Jr., using a Polyjuice Potion to disguise himself as Moody, and in Prisoner of Azkaban when Peter Pettigrew, who is supposed to be dead but as an Animagus has transformed into a rat, are both displayed on the map.

Furthermore, the people who helped to develop the map such as Choe Han-gi and Shin Hun was not convicted at all.

Furthermore, the surrounding wall of the city has shrunk since dating methods made it possible to show the precedence of the outer battlements compared to the inner battlements ( see the map ).

Furthermore, the approach is meant to allow the dynamic adjunction of a path in the map, i. e. adding a new strategy or a new section in the actual course of the process.

Furthermore he produced a large world map and a map of the Chinese empire and neighboring territories.

Furthermore, every positive map from to can be decomposed into a sum of completely positive and completely copositive maps, when and.

Furthermore, a Patterson map of N points will have N ( N − 1 ) peaks, excluding the central peak and any overlap.