Given x ∈ A, the holomorphic functional calculus allows to define ƒ ( x ) ∈ A for any function ƒ holomorphic in a neighborhood of Furthermore, the spectral mapping theorem holds:

Furthermore, although the transmission systems are still functional, receiving aerials in many places have long since been dismantled or are unmaintained.

Furthermore, with such a reified system of industrial production, the profit ( exchange value ) generated by the sale of the goods and services ( products ) that could be paid to the workers, instead is paid to the capitalist classes: the functional capitalist, who manages the means of production, and the rentier capitalist, who owns the means of production.

Furthermore, snout and skull morphology seem to be functional adaptations to the selection pressures that crocodilians face from the diet in their environment.

Furthermore, even if an extant DNA sequence is functionless, it does not follow that it has descended from an ancestral sequence of functional DNA.

Furthermore, periareolar implantation produces a greater incidence of capsular contracture, severs the milk ducts and the nerves to the nipple, thus causes the most post-operative functional problems, e. g. impeded breast feeding.

Furthermore, Linux 0. 01 was a barely functional first draft, far from the sophisticated, industry-grade Linux-based operating systems it would later grow into.

Furthermore, it aims to allow clinicians to track changes in the functional status of patients from the onset of rehab care through discharge and follow-up.

Furthermore, different resins allow for different functional groups at the C-terminus.

Furthermore, EPD has been used to produce customized microstructures, such as functional gradients and laminates, through suspension control during processing.

Furthermore, in a constrained environment such as a budget crunch or emergency battle damage control, cannibalization of some support aircraft to keep others flying and functional is a greater possibility.

Furthermore, social support can be measured in terms of structural support or functional support.

Furthermore, binaries such as healthy / unhealthy ; normal / abnormal ; and functional / dysfunctional ignore both the complexities of peoples ’ lived experiences as well as the personal and cultural meanings that may be ascribed to their experiences in context.

Furthermore, the soldier had become more technical and proficient in its functional means, narrowing the gap between the civilian and military spheres by requiring specialized civilian participation in the more technical capacities of the military.

Furthermore, the relative orientation of the two interacting partners may affect the type of signal produced ( e. g., agonism vs antagonism ).

Furthermore, adding " exists " to " a wise man ", to give the complete sentence " a wise man exists " has the same effect as joining " some man " to " wise " using the copula.

Furthermore, it is possible that the correlation between taking music lessons and academic ability exists because both are strongly correlated with parental income and education.

Furthermore evidence exists that hunting may have been one of the multiple environmental factors leading to extinctions of the holocene megafauna, and their replacement by smaller herbivores.

Furthermore, this cannot explain the identical male overrepresentation in other respiratory mortality causes, such as respiratory distress syndrome or suffocation from inhalation of food or foreign objects cited above, that also exists for ages of 1 – 14 years in the U. S. from 1979 to 2005.

Furthermore, the concept of rational expectations had become subject to much doubt when it became clear that the main assumption of models based on it was that there exists a single ( unique ) equilibrium in the economy that is set ahead of time, determined independently of demand conditions.

Furthermore because of the Feuerbach conic theorem mentioned above, there exists a unique rectangular circumconic, centered at the common intersection point of the four nine-point circles, that passes through the four original arbitrary points as well as the orthocenters of the four triangles.

Furthermore, for each f for which f ( 1 ) ≠ 0 there exists a g such that f * g =

Furthermore, models where a privileged rest frame exists can escape this difficulty due to other mechanisms.

Furthermore, there exists at least one transitive relation containing R, namely the trivial one: X × X.

Furthermore, if original reality exists independent of function, it is a useless reality.

Furthermore, it was shown by Alexander Zamolodchikov that there exists a function, C, which decreases monotonically under the renormalization group flow of a two-dimensional quantum field theory, and is equal to the central charge for a two-dimensional conformal field theory.

Furthermore as an interesting example of the back-and-forth dynamic that exists between literary ekphrasis and art, in 1896 ( eight years after the play was written ) Norwegian painter Edvard Munch painted an image similar to the one described by Ibsen in a painting he entitled ( unsurprisingly enough ) Lady from the Sea.

Furthermore, for every irrotational flow, there exists a velocity potential φ such that u = ∇ φ.

Furthermore, the narrator is able to visualise more than what actually exists on the urn.

Furthermore, the data do not explain the dichotomy that exists in the MTL memory system between episodic memory and semantic memory ( described below ).

Furthermore, the data do not explain the dichotomy that exists in the MTL memory system between episodic and semantic memory.

Furthermore, the third Weber type of political legitimacy, rational – legal authority exists in so many permutations no longer allow it to be limited as a type of legitimate authority.

Furthermore, any one of the above implies that given any two points p and q in M, there exists a length minimizing geodesic connecting these two points ( geodesics are in general extrema, and may or may not be minima ).

Furthermore, the possibility exists that systems may be damaged in the course of penetration testing and may be rendered inoperable, even though the organization benefits in

Furthermore, the maximum recommended operating frequencies of 25 kHz as specified by Tesla is far above the highest easily observable Schumann resonance mode ( the 9th overtone ) that exists at approximately 66. 4 Hz.

Furthermore, the District's elected government exists at the pleasure of Congress and could theoretically be revoked at any time.

Furthermore, if the appearance of “ being ” a gender is thus an effect of culturally influenced acts, then there exists no solid, universal gender: constituted through the practice of performance, the gender " woman " ( like the gender " man ") remains contingent and open to interpretation and " resignification.

Furthermore, vast tracts of Kazakhstan were used for nuclear testing, and there exists a plethora of decrepit factories and mines.

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, Pericles employed a number of offices to maintain Athens ' empire: proxenoi, who fostered good relations between Athens and League members ; episkopoi and archontes, who oversaw the collection of tribute ; and hellenotamiai, who received the tribute on Athens ' behalf.

Furthermore, an injective *- homomorphism between C *- algebras is isometric.

Furthermore, human beings are the ones who transmit this understanding between generations.

Furthermore, during the last century there is a negative correlation between fertility and intelligence.

Furthermore, there are linguistic and theological similarities between the two works, suggesting that they have a common author.

Furthermore it offers the Convention Center with its 35 function rooms, glassed-in areas between halls, grassy park-like recreation zones and its own heliport.

Furthermore, the classification of covering spaces makes strict reference to particular subgroups of, specifically distinguishing between isomorphic but conjugate subgroups, and therefore amalgamating the elements of an isomorphism class into a single featureless object seriously decreases the level of detail provided by the theory.

Furthermore, Quakes main innovation — the capability to play a deathmatch ( competitive gameplay between living opponents instead of against computer-run characters ) over the Internet ( especially through the add-on QuakeWorld ) seared the title into the minds of gamers as another smash hit.

Furthermore, the Germans had broken the British diplomatic codes and were reading the messages between the Foreign Office in London to and from the Embassy in Warsaw.

Furthermore, futurists must consider war, even between prosperous states, and non-economic goals.

Furthermore, cells can sort based upon differences in adhesion between the cells, so even two populations of cells with different levels of the same adhesion molecule can sort out.

Furthermore, Martial Guéroult suggested the term " Panentheism ", rather than " Pantheism " to describe Spinoza ’ s view of the relation between God and the world.

Furthermore, the short time between a vector becoming infectious and the onset of symptoms allows medical professionals to quickly quarantine vectors, and prevent them from carrying the pathogen elsewhere.

However, one must note both Katsufumi and the authors of Posture, Locomotion, and Paleoecology of Pterosaurs based their research on the now outdated theories of pterosaurs being seabird-like, and the size limit doesn't apply to terrestrial pterosaurs like azhdarchids and tapejarids Furthermore, Darren Naish concluded that atmospheric differences between the present and the Mesozoic weren't needed for the giant size of pterosaurs.

Furthermore, a few Modern Orthodox synagogues have mechitzot dividing the left and right sides of the synagogue ( rather than the usual division between the front and back of the synagogue, with women sitting in the back ), with the women's section on one side and the men's section on the other.

Furthermore, China has attempted to mediate between North Korea and the United States and between North Korea and Japan and also initiated and promoted tripartite talks — between Pyongyang, Seoul, and Washington.

Furthermore, the alcohol content differs between sake, wine, and beer.

Furthermore, it may be used to prioritize empirical testing between two equally plausible but unequally testable hypotheses ; thereby minimizing costs and wastes while increasing chances of falsification of the simpler-to-test hypothesis.

Furthermore, the length of the second was determined from observations of the Moon between 1750 and 1890.

Furthermore, " I and I " is used instead of " We ", and is used in this way to emphasize the equality between all people, in the belief that the Holy Spirit within all people makes them essentially one and the same.