However, in the actual assessment of the cutting force by instrumental methods for any thickness of coating a number of spurious effects occur which must be taken into account and which make the measured value larger than the true cutting force indicated by eqn. ( 1 ).

However, the Vandals tried for several decades to force their Arian beliefs on their North African Nicene subjects, exiling Nicene clergy, dissolving monasteries, and exercising heavy pressure on non-conforming Christians.

However, at the base of this crack is a round void called an ampulla which would have functioned to distribute force over a larger surface area, hindering the ability of the " crack " formed by the serration to propagate through the tooth.

However, in some situations, especially when deep behind enemy lines, the actual attack will be carried out by a platoon, a company-sized unit will be deployed to support the attack group, setting up and maintaining a forward patrol harbour from which the attacking force will deploy, and to which they will retire after the attack.

However, with the Franco-Bavarian commanders reluctant to fight until their numbers were deemed sufficient, the Duke enacted a policy of plundering in Bavaria designed to force the issue.

However, the Luftwaffe was a broadly based force with no constricting central doctrine, other than its resources should be used generally to support national strategy.

However, Nigeria never ratified the agreement, while Cameroon regarded it as being in force.

However, the explanation of this curvature involves centrifugal force for all observers with the exception of a truly stationary observer, who finds the curvature is consistent with the rate of rotation of the water as they observe it, with no need for an additional centrifugal force.

However, he realized that his equations permitted the introduction of a constant term which could counteract the attractive force of gravity on the cosmic scale.

However in Daoism it refers more often to a meta-physical term that describes a force that encompasses the entire universe but which cannot be described nor felt.

However, if they showed treasonous inclinations, the Emperor did punish them with just force, as in the case of Polybius and Pallas ' brother, Felix.

However, there also are nonphysical forms of coercion, where the threatened injury does not immediately imply the use of force.

However, an Assyrian king Ashur-uballit II held out at the Assyrian city of Harran, resisting until 605 BC, when the remnants of the Assyrian Army and an Egyptian force were defeated at Karchemish.

However, the mystique of the cavalry is such that the name has been introduced for what was always a mechanised force.

However, the anti-terrorist measures of it remained in force.

However, it did not emerge as a formidable force until 1991, when the elderly LY members elected from the mainland provinces in 1948 retired.

However, the Dalek force is destroyed by the Doctor, and Davros is captured and imprisoned by the humans in suspended animation, before being taken to Earth to face trial.

However, limited funds hinder any major acquisitions and the chances of maintaining a strong force within the Pacific Ocean.

However, some emulsions would never coalesce under normal gravitational force, but will under higher g forces.

However at least three other factors work against dialects, namely the centripetal force of the Fundamento, the unifying influence of the Plena Vortaro and its successors, which exemplified usage from the works of Zamenhof and leading writers, and the transnational ambitions of the speech community itself.

However, the force is defeated, and Godzilla proceeds on his original course.

However, their velocities are too large for them to remain gravitationally bound by their mutual attractions, implying the presence of either an additional invisible mass component, or an additional attractive force besides gravity.

However, the invasion of the Macriani forced him to dispatch Aureolus with a large force against them, leaving him with insufficient troops.

However, Ancient Egyptian is highly divergent from Proto-Afroasiatic ( Trombetti 1905: 1 – 2 ), and considerable time must have elapsed in between them.

However, during the January to September 2010 period, the sector experienced a 5. 2 percent year-on-year decrease, which according to the Civilitas Foundation is an indication of the unsustainability of a sector based on an elite market, with few products for the median or low budgets.

However, the Australians fought back and Bradman won his first series in charge 3 – 2.

However, this did not explain similarities between different atoms, as expressed by the periodic table, such as the fact that helium ( 2 electrons ), neon ( 10 electrons ), and argon ( 18 electrons ) exhibit similar chemical behavior.

However, Twomey expresses confidence that, if the High Court of Australia were to be faced with the problems of covering clause 2, it would find some way to conclude that, with regard to Australia, the clause is subject solely to Australian law.

However 1. 4 billion people still live without clean drinking water and 2. 6 billion of the world ’ s population lack access to proper sanitation.

However, this was significantly less successful than conventional regulation in the European Union, which saw a decrease of over 70 % in SO < sub > 2 </ sub > emissions during the same time period.

However, the court later concluded, in R. v. Edwards Books and Art Ltd., ( 2 S. C. R.

However, it's not injective in both variables simultaneously, because ( for example ) f ( 2, 4 ) = f ( 1, 2 ).

However, his words could not inspire a side which was playing on a nation's goodwill and sentiment, and Nat Lofthouse scored twice to give Bolton Wanderers side a 2 – 0 win.

However, it is expensive to grow and wastes space proportional to 2 < sup > h </ sup >-n for a tree of depth h with n nodes.

However, before reaching the transition temperature, the specific heat of the superconductor becomes even higher than that of the normal conductor ( measured immediately above the transition ) and the ratio of these two values is found to be universally given by 2. 5.

However, in the 2: 2, it changes the gender to daga, meaning female fish.

However, 40 % went on to experience a new episode of mania or depression within 2 years of syndromal recovery, and 19 % switched phases without recovery.

However, there will be several terms of the form x < sup > n − 2 </ sup > y < sup > 2 </ sup >, one for each way of choosing exactly two binomials to contribute a y.

However, as 1 + ( k + 1 ) x + kx < sup > 2 </ sup > ≥ 1 + ( k + 1 ) x ( since kx < sup > 2 </ sup > ≥ 0 ), it follows that ( 1 + x )< sup > k + 1 </ sup > ≥ 1 + ( k + 1 ) x, which means the statement is true for r = k + 1 as required.

However, they should not usually be given for longer than 2 – 4 weeks.

However, by 1906, the English Court of Appeal had made it clear in the decision of Automatic Self-Cleansing Filter Syndicate Co v Cunningham 2 Ch 34 that the division of powers between the board and the shareholders in general meaning depended on the construction of the articles of association and that, where the powers of management were vested in the board, the general meeting could not interfere with their lawful exercise.

However, the mountainous landscape of Chile limits the extent and intensity of agriculture so that arable land corresponds only to 2. 62 % of the total territory.

However, some biological substances commonly called " monosaccharides " do not conform to this formula ( e. g., uronic acids and deoxy-sugars such as fucose ), and there are many chemicals that do conform to this formula but are not considered to be monosaccharides ( e. g., formaldehyde CH < sub > 2 </ sub > O and inositol ( CH < sub > 2 </ sub > O )< sub > 6 </ sub >).