These arguments, and a discussion of the distinctions between absolute and relative time, space, place and motion, appear in a Scholium at the very beginning of Newton's work, The Mathematical Principles of Natural Philosophy ( 1687 ), which established the foundations of classical mechanics and introduced his law of universal gravitation, which yielded the first quantitatively adequate dynamical explanation of planetary motion.

These consisted of a metal pipe placed on a smaller pipe that when struck with the disc made a gong type sound, while these were much more accurate than a tree, arguments and disagreements led to the invention of the Disc Pole Hole by Ed Headrick in 1975.

These formulas can even serve as the definition of the trigonometric functions for complex arguments x.

These arguments are expressed in a variety of different but equivalent ways ( they give the same elliptic integral ).

These arguments lean towards the " nurture " side of the argument-that language is acquired through sensory experience.

These arguments were recorded in tablets several hundreds of years before any major war — the first recording of a war occurred around 3200 BC but was not common until about 2500 BC.

These arguments have differing validity for different types of " property "— things that are not scarce are, for instance, not subject to the tragedy of the commons.

These arguments are hard to prove.

These arguments are probability judgments since they rest on the claim that, even after careful reflection, one can see no good reason for God ’ s permission of evil.

These arguments feature only a posteriori arguments, rather than traditional dogma.

These deists, while maintaining individual positions, still shared several sets of assumptions and arguments that Paine articulated in The Age of Reason.

These disagreements, along with the role of monetary policies in trade liberalization, international investment, and central bank policy, remain lively topics of investigation and arguments.

These arguments sometimes overlap but can be distinctively defined.

These arguments may be displayed within the special block.

These arguments, which are presented in written form, and can range in length from dozens to hundreds of pages, are ironically known as " briefs ".

These Platonic and Aristotelian arguments ran counter to those presented earlier by Democritus and later by Lucretius, both of whom were supporters of what is now often called metaphysical naturalism, or accidentalism:

These two embedded clauses are arguments.

These arguments dragged on through 1940 and into 1941.

These authors also accepted that comparisons, metaphors and " images " ( allegories ) could be used as arguments, and sometimes they called them analogies.

These claims often embody historical, cultural, economic or demographic arguments for inclusion or exclusion.

These included such arguments as that the view is void of good news ; repugnant to God's wise, just, and good nature, and to man's free nature ; " highly dishonorable to Jesus Christ "; " hurtful to the salvation of men "; and that it " inverts the order of the gospel of Jesus Christ " ( which is that we are justified after we believe, not prior to our believing ).

These responded to further criticisms, but they also expanded on the original arguments, and developed them in new ways.

These ratios are one of the main arguments in favor of the presence of large amounts of dark matter in the universe ; if dark matter did not exist, we would expect much smaller mass-to-light ratios, on the order of a few.

These cosmographies posit a universe being repeatedly created and destroyed over time cycles of immense lengths.

These models also assume unidimensionality but posit that the probability of endorsing an item is proportional to the distance between the items standing on the unidimensional trait and the standing of the respondent.

These are models that posit that the Higgs sector and Higgs boson are scaling invariant, also known as unparticle physics.

These contacts usually consist first of the bump or pass so that the ball's trajectory is aimed towards the player designated as the setter ; second of the set ( usually an over-hand pass using wrists to push finger-tips at the ball ) by the setter so that the ball's trajectory is aimed towards a spot where one of the players designated as an attacker can hit it, and third by the attacker who spikes ( jumping, raising one arm above the head and hitting the ball so it will move quickly down to the ground on the opponent's court ) to return the ball over the net.

These attacker advantages cause challenges for defense mechanisms.

These focus on defending against a traditional Western style attacker and ending the confrontation as quickly as possible, while limiting the damage to any involved parties.

These were hazardous to attacker and defender alike.

These factors make fighting to defeat the attacker unlikely to succeed.

These paired kata are performed by two people ( one as the attacker and one as the defender ), demonstrating a range of self-defense techniques.

These spoofed signals, however, are modified in such a way as to cause the receiver to determine its position to be somewhere other than where it actually is, specifically somewhere determined by the attacker.

These techniques allow an attacker using covert listening devices to obtain passwords, passphrases, personal identification numbers ( PINs ), and other information entered via keyboards.

These numbers must have high entropy for any attacker, thus increasing attack difficulty.

These microfossils indicate the swamp was `` formed during the Lower Cretaceous period when dinosaurs were at their heyday and when the first flowering plants were just appearing.

These arrangements would have been impossible if the business community was truly interested in the welfare of its employes.

These never ceased to suggest that if, in the eyes of Marx and Lenin `` full communism '' was still a very distant ideal, the establishment of a Communist society had now, under Khrushchev, become an `` immediate and tangible reality ''.

These were educated men, who, as Mr. Justice Holmes was fond of saying, formed their inductions out of experience under the burden of responsibility.

These dosages could have been increased by increasing the source strength which was small in this case.

These conjugates Af had much less nonspecific staining than the previous conjugate ( with 50 mg FITC per gram of globulin ) while the specific staining was similar in both cases.

These must have been for local calls strictly, as in May 1900 the `` only long distance telephone '' in town was transferred from C. B. Carleton's to Young's shoe store.

These trials were properly termed `` political cases '' in that the trial itself was a political act producing political consequences.

These carts were of a type devised in Pembina in the days of Alexander Henry the Younger about a decade before the Selkirk colony was begun.

These shapes might have been mad, but there was no telling.

These inwardly dramatic moments showed the kind of `` opera style '' of which Beethoven was genuinely capable, but which did not take so kindly to the mechanics of staging.

These terms have historically been applied to any astronomical object orbiting the Sun that did not show the disk of a planet and was not observed to have the characteristics of an active comet, but as small objects in the outer Solar System were discovered, their volatile-based surfaces were found to more closely resemble comets, and so were often distinguished from traditional asteroids.

These scholars also maintain that Jesus was the only human ever elected and that individuals must be " in Christ " ( Eph 1: 3 – 4 ) through faith to be part of the elect.

These symbols show the deep religiosity of Gaudi, who was inspired by the contemporaneous construction of his basilica to choose the theme of the holy family.

These " conversations " as he called them, were more or less informal talks on a great range of topics, spiritual, aesthetic and practical, in which he emphasized the ideas of the school of American Transcendentalists led by Emerson, who was always his supporter and discreet admirer.

These soon became so serious that a league was formed to crush him, and Maurice of Saxony led an army against his former comrade.

These arrangements were imperiled by the ill will of Alfonso XI of Castile, who was, at the time, publicly mistreating his wife.

These were differently sized in different countries, for instance, the historical French acre was 4, 221 square metres, whereas in Germany as many variants of " acre " existed as there were German states.

These formations became exposed when the ocean floor was raised by a major volcanic activity in the Devonian forming much of the east coast of Australia.

In the center of the helmet was a center black stripe surrounded by 2 gold stripes and 2 white stripes, These colors represented the two college rival schools in the state of Georgia ; rival schools Georgia Tech Yellow Jackets ( White and Gold ) and the Georgia Bulldogs ( Red and Black ) Although the gold was later taken out, the white remains to this day.

These were initially custom devices, but it was soon common to include such support in a LocalTalk-to-Ethernet bridge.

These three personages are often difficult to tell apart, and even the ancient mythographers appear to have been perplexed about which Aeolus was which.

These energy levels depend on the type of atom and the chemical environment in which the atom was located.

These included some for the Triumphs of Maximilian, where he followed the overall style presumably set by Hans Burgkmair, although he was able to escape somewhat from this in his depictions of the more disorderly baggage-train, still coming through a mountain landscape.