While the Sheldon Scale is universally acknowledged, coin experts in Europe and elsewhere often shun the numerical system, preferring to rate specimens on a purely descriptive, or adjectival, scale.

While Irenaeus did propose some solutions of this numerical riddle, his interpretation was quite reserved.

While the core will accept light at higher numerical apertures ( higher angles ), those rays will not totally reflect off the core – cladding interface, and so will not be transmitted to the other end of the fiber.

While variables in mathematics usually take numerical values, in fuzzy logic applications, the non-numeric linguistic variables are often used to facilitate the expression of rules and facts.

While it is often assumed that those with this intelligence naturally excel in mathematics, chess, computer programming and other logical or numerical activities, a more accurate definition places less emphasis on traditional mathematical ability and more on reasoning capabilities, recognizing abstract patterns, scientific thinking and investigation and the ability to perform complex calculations.

While in terms of functional analysis such problems are typically continuous, they may suffer from numerical instability when solved with finite precision, or with errors in the data.

While it is clear that it now ( as of 2012 ) takes longer to reach the H-1B visa numerical cap, it is not clear whether this is a result of simple political pressure to put the program on " hold ", or a result of the decreased economic growth.

While Khalifa's early publications claimed that the numerical code he saw in the Qur ' an confirmed that the Qur ' an was perfectly preserved, errors were found in his earlier counts.

While they have not been directly observed, they are consistent according to models using numerical simulation and current observations.

While it is possible to obtain a detailed numerical model of electrowetting by considering the precise shape of the electrical fringing field and how it affects the local droplet curvature, such solutions are mathematically and computationally complex.

While the term " mainline " once implied a certain numerical majority or dominant presence in mainstream society, that is no longer the case.

While the position also existed in the former Central Legislative Assembly of British India, and holders of it there included Motilal Nehru, it got statutory recognition through the Salary and Allowances of Leaders of Opposition in Parliament Act, 1977 which defines the term ‘ Leader of the Opposition ' as that member of the Lok Sabha or the Rajya Sabha who, for the time being, is the Leader of that House of the Party in Opposition to the Government having the greatest numerical strength and recognized, as such, by the Chairman of the Rajya Sabha or the Speaker of the Lok Sabha.

While recognising the primary importance of logical proof, Gauss also illustrates many theorems with numerical examples.

While Spencer postulated mainstream culture as the dominant ways of thinking, feeling, and behaving, Gudykunst and Kim ( 2003 ) define the dominant group as a simple numerical majority (" differential size of the population " Gudykunst and Kim, 2003, p. 360 ).

While this takes full advantage of the grid resolution, and eliminates the computational cost of calculating a subfilter scale model term, it is difficult to determine the shape of the LES filter that is associated with some numerical issues.

While Zhou Yu and the other generals led the main force to rescue Gan Ning, who was besieged in Yiling, Ling Tong was left along to engage the enemy generals Cao Ren and Xu Huang in battle for about ten days under numerical disadvantage.

While cryptography and certain numerical algorithms require a very high degree of apparent randomness, many other operations only need a modest amount of unpredictability.

While their powers grew over time, it is not always easy to distinguish the difference between their powers, and those of the Roman Censors.

The difference is one of weight: While phylogenetic nomenclature bases the group on an ancestor with a certain trait, Linnaean taxonomy uses the traits themselves to define the group.

While there are alleged non-physical differences between men and women, major reviews of the academic literature on gender difference find only a tiny minority of characteristics where there are consistent psychological differences between men and women, and these relate directly to experiences grounded in biological difference.

While both men made significant contributions to the field of aphasia, it was Carl Wernicke who realized the difference between patients with aphasia that could not produce language and those that could not comprehend language ( the essential difference between expressive and receptive aphasia ).

While some people prefer to link the two ideas of “ open source software ” and “ free software ” together, it is important to understand the difference because they offer two separate ideas and values.

While in equal temperament scales, enharmonics are notes with identical pitch but different spellings ( e. g. A flat and G sharp ); in flamenco, as in unequal temperament scales, there is a microtonal intervalic difference between enharmonic notes.

While the self-designation of hobbyists as hackers is acknowledged by all three kinds of hackers, and the computer security hackers accept all uses of the word, people from the programmer subculture consider the computer intrusion related usage incorrect, and emphasize the difference between the two by calling security breakers “ crackers ” ( analogous to a safecracker ).

While some consumers simply interpreted high fidelity as fancy and expensive equipment, many found the difference in quality between " hi-fi " and the then standard AM radios and 78 rpm records readily apparent and bought 33⅓ LPs, such as RCA's New Orthophonics and London's ffrrs, and high-fidelity phonographs.

While the concepts of layer and tier are often used interchangeably, one fairly common point of view is that there is indeed a difference.

While open clusters and globular clusters form two fairly distinct groups, there may not be a great deal of difference in appearance between a very sparse globular cluster and a very rich open cluster.

While not appearing large, the mass ratio to delta-v curve is very steep to reach orbit in a single stage, and this makes a 10 % difference to the mass ratio on top of the tankage and pump savings.

While the successor ZX81 used a semi-custom chip ( a ULA or Uncommitted Logic Array ), this merely combined the functions of the earlier hardware onto a single chip — the hardware and system programs ( except the BASIC versions ) were very similar, with the only significant difference being the NMI-generator necessary for slow mode in the ZX81.

While modern flares can have an IR signature that is closely matched to the launching aircraft's engine exhaust, there is a readily distinguishable difference in UV signature between flares and jet engines.

While it did work to a degree, it also caused confusion to the consumer as to the difference between " Philips Magnavox " products and " Philips " products, resulting in Philips marketing the 2 brands separately again.

While the probability of encountering food, potential sexual partners, or predators is the same in all directions for animals floating freely in the water, there is a clear difference on the seafloor between the sides facing toward and away from the substrate, and between their orientation and the vertical direction perpendicular to the substrate.

While some have argued that prisoner participation would likely be too low to make a difference, one Arizona program started by Maricopa County Sheriff Joe Arpaio encourages inmates to voluntarily sign up to donate their heart and other organs.

While this doesn ’ t quite make complete sense, Lewis wished to stress its implicit point: that even within the attempt to prove that the concept of omnipotence is immediately incoherent, one admits that it is immediately coherent, and that the only difference is that this attempt if forced to admit this despite that the attempt is constituted by a perfectly irrational route to its own unwilling end, with a perfectly irrational set of ' things ' included in that end.

While cellulose nitrate and cellulose diacetate stocks used to shrink during processing slightly enough to have this difference naturally occur, modern safety stocks do not shrink at the same rate, and therefore negative ( and some intermediate ) stocks are perforated at a pitch of 0. 2 % shorter than print stock.

While there is no difference between the official dress of archbishops, as such, and that of other bishops, Roman Catholic metropolitan archbishops are distinguished by the use in liturgical ceremonies of the pallium, but only within the province over which they have oversight.

While the above discussion has related to the convergence of a single series to a limiting value, the notion of the convergence of two series towards each other is also important, but this is easily handled by studying the sequence defined as either the difference or the ratio of the two series.

While young and elderly participants equally could tell the difference for smiling young people, the " older adult participants outperformed young adult participants in distinguishing between posed and spontaneous smiles ".

While it is easy enough to ridicule Hawkins' pronouncement in Pleas Of The Crown from a metaphysical point of view, the concept of the `` oneness '' of a married couple may reflect an abiding belief that the communion between husband and wife is such that their actions are not always to be regarded by the criminal law as if there were no marriage.

While Kierkegaard's feeling of angst is fear of actual responsibility to God, in modern use, angst was broadened by the later existentialists to include general frustration associated with the conflict between actual responsibilities to self, one's principles, and others ( possibly including God ).

While there are ancient relations between the Indian Vedas and the Iranian Avesta, the two main families of the Indo-Iranian philosophical traditions were characterized by fundamental differences in their implications for the human being's position in society and their view on the role of man in the universe.

While under the protection of Yaroslav, Andronikos brought about an alliance between him and the Emperor Manuel I, and so restored himself to the emperor's favour.

While a spontaneous or induced genetic mutation in bacteria may confer resistance to antimicrobial drugs, genes that confer resistance can be transferred between bacteria in a horizontal fashion by conjugation, transduction, or transformation.

While Anne gave no reason for leaving Thorp Green, it is thought she wanted to leave on becoming aware of the relationship between her brother and Mrs Robinson.

While there are some similarities between the two movements, Theodism derived its origins primarily as a reaction to Wicca.

While at Canterbury he promoted the cult of Dunstan, ordering the writing of the second Life of Dunstan, which Adelard composed between 1006 and 1011.

While the scientific community was once divided between supporters of the Big Bang and those of alternative cosmological models, most scientists became convinced that some version of the Big Bang scenario best fit observations after the discovery of the cosmic microwave background radiation in 1964, and especially when its spectrum ( i. e., the amount of radiation measured at each wavelength ) was found to match that of thermal radiation from a black body.

While their coordinate distance ( comoving distance ) remains constant, the physical distance between two such comoving points expands proportionally with the scale factor of the Universe.

While the British military historian Sir John Keegan suggested an ideal definition of battle as " something which happens between two armies leading to the moral then physical disintegration of one or the other of them ", the origins and outcomes of battles can rarely be summarized so neatly.

While one-to-one bartering is practised between individuals and businesses on an informal basis, organized barter exchanges have developed to conduct third party bartering.

" While Frank Miller has described the relationship between Batman and the Joker as a " homophobic nightmare ," he views the character as sublimating his sexual urges into crimefighting, concluding, " He'd be much healthier if he were gay.

While some recent scholars have questioned the existence of a large-scale Domitian persecution, others believe that Domitian's insistence on being treated as a god may have been a source of friction between the Church and Rome.

While scholars suggest the marriage metaphor presented in Hosea describes the relationship between Israel and Yahweh, the metaphor itself remains controversial in its meaning and interpretation in modernity.

While initially welcomed by the Catholics as a neutral force compared to the RUC, relations between the nationalists and the Army soon deteriorated.

While still tightly linked to the court culture and absolutism, with its formality and emphasis on order and hierarchy, the new style was also a cleaner style — one that favored clearer divisions between parts, brighter contrasts and colors, and simplicity rather than complexity, and the typical orchestra size increased.

While modern systems distinguish between offences against the " State " or " Community ", and offences against the " Individual ", the so-called penal law of ancient communities did not deal with " crimes " ( Latin: crimina ), but with " wrongs " ( Latin: delicta ).

Egypt's capital was permanently moved to Cairo, which was eventually expanded to include the ruins of Fustat and the previous capitals of al-Askar and al-Qatta ' i. While the Fustat fire successfully protected the city of Cairo, a continuing power struggle between Shawar, King Amalric I of Jerusalem, and Zengid general Shirkuh led to the downfall of the Fatimid establishment.

While the presence of a long-term professional minister has sometimes created " significant de facto ministerial authority " and led to conflict between the minister and the elders, the eldership has remained the " ultimate locus of authority in the congregation ".

While the 6x86's integer performance was significantly higher than P5 Pentium's, it's floating point performance was more mediocre — between 2 and 4 times the performance of the 486 FPU per clock cycle ( depending on the operation and precision ).

While Sunni and Shia Islam differ sharply on the conduct of a caliph and the right relations between a leader and a community, they do not differ on the underlying theory of stewardship.

While the term Mari expressed the relationship between Jesus and his disciples during his life, the Greek Kyrios came to represent his lordship over the world.