Hence permutation groups ( also known as transformation groups ) and the related notion of orbit shed light on the mathematical structure of equivalence relations.

Hence, straight hair may have ( initially ) evolved to aid the entry of UV light into the body during the transition from dark, UV-protected skin to pale-white skin.

Hence, those with less pigmented skin survived and had children at higher rates because their skin allowed more UV light for the production of vitamin D. Thus, the skin of those in the group that left the African continent and went far north gradually developed adaptations for relatively greater translucence compared to equatorial hues.

Hence, the light is amplified.

Hence his injunctions to the analyst to eschew memory and understanding, to " bring to bear a diminution of the ' light ' - a penetrating beam of darkness ; a reciprocal of the searchlight.

Hence both do not qualify as separate predicates, but rather they form part of a predicate with another expression-usually with a full verb in the case of auxiliary verbs and usually with a noun in the case of light verbs.

Hence these stars emit little light, sometimes as little as that of the Sun.

Hence since light could be reduced to lines and points, and thus fully explained in the realm of mathematics, mathematics was the highest order of the sciences.

Sfumato is where there are no harsh outlines, and it is painted with full strokes that enhance color and light. The areas blend together Hence the term " Sfumato " was used by Michael J. Gelb on his book How to Think Like Leonardo da Vinci to describe one of da Vinci's mental abilities, namely the ability to hold three paradoxical ideas in one's mind without difficulty.

Hence, the reflections occur through total internal reflection so very little light is lost.

Hence, when heated by a kerosene or liquified petroleum gas flame, the mantle emits radiation that is mostly visible light, with relatively little energy in the unwanted infrared, increasing the luminous efficiency.

Hence, in contrast to the Faraday effect in solids or liquids, interstellar Faraday rotation has a simple dependence on the wavelength of light ( λ ), namely:

Hence, for the purpose of manipulating melatonin levels or timing, light boxes providing very specific types of artificial illumination to the retina of the eye are effective.

Hence the observer will see the beam of light emitted from B earlier than he will see that emitted from A.

Hence, the intensity of the sound can be used to modulate the intensity of the light in the diffracted beam.

Hence, two exposures with an equal illumination across the array are necessary ( one without light and one close to saturation ) to obtain the values.

Hence the first premise in both formulations above seems to exclude this conclusion as a possibility.

Hence for both logic and mathematics, the different formal categories are the objects of study, not the sensible objects themselves.

Hence the textual evidence for the Gospel of John is commonly accepted as both earlier and more reliable than that for any other of the canonical Gospels.

Hence both monetary inflation and price inflation rapidly accelerate.

Hence, helium-3 enters the atmosphere both through its direct release and through the radioactive decay of tritium.

Hence, both granulosa and theca cells are essential for the production of estrogen in the ovaries.

Hence, in NLTC the expected number of tricks equates to 25 minus the sum of the losers in the two hands ( i. e. half the sum of the half losers of both hands ).

Tom Swift, Jr .' s Cold War-era adventures and inventions are often motivated by patriotism, as Tom repeatedly defeats the evil agents of the fictional " Kranjovia " and " Brungaria ", the latter a place that critic Francis Molson describes as " a vaguely Eastern European country, which is strongly opposed to the Swifts and the U. S. Hence, the Swifts ' opposition to and competition with the Brungarians is both personal and patriotic.

Hence the Code allowed a proviso to be inserted in the marriage contract, that the wife should not be seized for her husband's pre-nuptial debts ; but stipulated that then he was not responsible for her pre-nuptial debts, and, in any case, that both together were responsible for all debts contracted after marriage.

Hence it is more difficult to have the former perseverance ,- easier to have the latter ; but to Him to whom nothing is difficult it is easy to give both.

Hence, he kept Henry A. Kissinger as both Secretary of State and Assistant to the President for National Security Affairs.

Hence it may be that Æthelbald helped establish both Aethelheard and his brother, Cuthred, who succeeded Aethelheard in 739.

Hence Portunus is behind both an opportunity and importunate or badly-timed solicitations ( OED ).

Hence, both gave the pre-eminence to political aims over military goals.

Hence the breadth and depth of " understanding " aimed at by a system determine both the complexity of the system ( and the implied challenges ) and the types of applications it can deal with.

Hence the new set of order parameters describing the three magnetic phases consists of both and.

Hence, a cause is both sufficient ( 1 ) and necessary ( 2 ) in order that the event happen.

Hence, Sweden Swedish minimal pairs like (" the duck ") – with stress on only the first syllable – and (" the spirit ") – with both syllables stressed – are both pronounced in Finland.

Hence a designer / programmer used the same technical code structure to implement both front-end and back-end business function.

Hence the " Gorlice fair " or " Gorlice days " held every year during the May Bank Holidays and adjoining days, which are enjoyed by many visitors both domestic and from abroad.

Hence they both have the form of Scriptural exegesis, in that each mentions the Biblical passage and the halakha that explains it, or, more correctly, derives from it.

Hence he uses the symbols interchangeably for both ; and as he also frequently identifies the Logos with divine wisdom, the allegoric designations here too are easily interchanged.

Hence, dishes which Gentiles make with pork are made with veal or chicken ; chicken fat ( or, more modernly, hydrogenated vegetable oil such as Crisco ) is used in place of lard.

Hence there is quite a lot of diversity in Malaysia, but an over all theme of a small brave chicken with a persona of fearless warrior or toy soldier.

Hence the reinforced concrete structure was adopted and Central Plaza is now one of the tallest reinforced concrete buildings in the world.

Hence one can say that h " is compatible with the group structure ".

Hence the long-standing desire of many colonial administrators to establish a unified structure became feasible.

Hence temples were placed on hilltops, their exteriors designed as a visual focus of gatherings and processions, while theatres were often an enhancement of a naturally occurring sloping site where people could sit, rather than a containing structure.

Hence, the age structure of the population becomes increasingly youthful and more of these children enter the reproductive cycle of their lives while maintaining the high fertility rates of their parents.

Hence, by the structure theorem for finitely generated abelian groups, it is isomorphic to a product of a free abelian group Z < sup > r </ sup > and a finite commutative group for some non-negative integer r called the rank of the abelian variety.

Hence the Lie algebra of infinitesimal symmetries of the conformal structure is infinite dimensional.

Hence, the syntactic structures which are assumed by folk psychology can have no place in such a structure as the brain.

Hence, first assignments of activity to possible structure ( SAR ) may be incomplete or inaccurate.

Hence G / H is a smooth manifold and so X carries a unique smooth structure compatible with the group action.

Hence, sliding mode control is a variable structure control method.

Hence, by embedding labour organizations in its structure, the NDP went beyond being simply the party for labour and became of the party of labour.

Hence the hexagonal lattice provides a superior picture of the structure of the five-limit modulatory space.

Hence " the war " is actually " waged by each ruling group against its own subjects, and the object of the war is not to make or prevent conquests of territory, but to keep the structure of society intact ".

Hence understanding the algebraic structure of the mapping class group often reduces to questions about the Torelli group.

Hence the organisational structure of the Wei military was largely inherited from the Han administration.

Hence, the receiver often needs to translate a message into a more refined form by removing extra characters and structure information and / or by converting values from one type to another.

Hence, where this scheduling structure is used, the transfers are all at harmonically related frequencies, e. g. 50, 25, 12. 5, 6. 25, 3. 125, and 1. 5625 Hz ( for a major frame comprising 32 minor cycles at 50 Hz ).

Hence the Byzantine stories are traditional in their plot structure and setting ( featuring complex turns of events taking place in the ancient Mediterranean, complete with the ancient gods and beliefs ) but are also medieval, clearly belonging to the era of the Crusades as they reflect customs and beliefs of that time.

Hence, structure in the is usually assigned to features in the density of states in the first term of equation ( 7 ).

Hence, the discrete unit in my pyjamas plays a different grammatical role in the deep structure of the sentence.

Hence the enthalpy of mixing is positive ( unfavourable ), but the contribution of entropy to the free energy of solution stabilises the structure for low carbon content.