For instance, it is commonly accepted now that the famous Gutenberg – Richter law decays more rapidly than a pure power-law tail because of a finite exponential cutoff in the upper tail.

For optical fibers, a power-law index profile is an index of refraction profile characterized by

For power-law profiles, single-mode operation occurs for a normalized frequency, V, less than approximately

For a power-law curve, this slope is constant, but the idea can be extended to any type of curve, in which case gamma ( strictly speaking, " point gamma ") is defined as the slope of the curve in any particular region.

For example, the level of improvement noted in a recent experiment with a short course of immediate treatment for parent-child relationship problems compared favorably with the results reported by typical child guidance clinics where the hours spent in purely diagnostic study may equal or exceed the number of hours devoted to actual treatment interviews in the experimental project.

( For the famous relationship between Mozart and Salieri please see below.

For example the arrow between the agent and CAT: Elsie depicts an example of an is-a relationship, as does the arrow between the location and the MAT.

: For example, picture 1 above illustrates the concrete relationship " Cat sits on Mat ".

For mammals, the relationship between brain volume and body mass essentially follows a power law with an exponent of about 0. 75.

For example, he applies the word fides, which traditionally meant faithfulness towards one's political allies, to his relationship with Lesbia and reinterprets it as unconditional faithfulness in love.

For instance, David is portrayed as having been dishonored when his concubines had a sexual relationship with his son Absalom.

For Jews, the Torah-written and oral-is the primary guide to the relationship between God and man, a living document that has unfolded and will continue to unfold whole new insights over the generations and millennia.

For reasons unknown, Domitian briefly exiled Domitia, and then soon recalled her, either out of love or due to rumours that he was carrying on a relationship with his niece Julia Flavia.

For example, there have been a number of epidemiological studies of looking for a relationship between cell phone use and brain cancer development, which have been largely inconclusive, save to demonstrate that the effect, if it exists, cannot be a large one.

For example, the relationship between the circumference, c, and diameter, d, of a circle is described by.

For a given amount of substance contained in a system, the temperature, volume, and pressure are not independent quantities ; they are connected by a relationship of the general form:

For centuries the foreign policies of the Confederation were determined by its relationship with its powerful neighbour, France.

For example: A fertile couple may have intercourse while using contraception to experience sexual pleasure ( recreational ) and also as a means of emotional intimacy ( relational ), thus deepening their bonding, making their relationship more stable and more capable of sustaining children in the future ( deferred reproductive ).

For example, a positive relationship between the team-level traits of agreeableness and conscientiousness and the team performance has been shown to exist ( Van Vianen & De Dreu, 2001 ).

For this purpose he laboriously collected the scattered words and allusions found in classical writers, and endeavoured to determine the relationship between the German language and those of the Getae, Thracians, Scythians, and many other nations whose languages were at the time known only through doubtfully identified, often extremely corrupted remains preserved by Greek and Latin authors.

For whatever reason, her relationship with Hitler had declined by 1944, when her brother Heinz died on the Russian Front of the war.

For many individual dancers, exploring the limits of the Leader-Follower relationship adds to the dance, where this relationship might better be understood as a conversation between partners, with each contributing to the style and mood of the dance through their connection.

For much of its history, North Korean politics have been dominated by its adversarial relationship with South Korea.

For example, in a sentence such as " He entered John's house through the front door ", " the front door " is a referring expression and the bridging relationship to be identified is the fact that the door being referred to is the front door of John's house ( rather than of some other structure that might also be referred to ).

For the Israelites who were its original authors and readers these books told of their own unique relationship with God and their relationship with proselytes, but the overarching messianic nature of Christianity has led Christians from the very beginning of the faith to see the Old Testament as a preparation for the New Covenant and New Testament.

For languages whose writing systems employ the phonemic principle, ordinary letters may be used to denote phonemes, although this approach is often hampered by the complexity of the relationship between orthography and pronunciation ( see Correspondence between letters and phonemes below ).

For persons to enter this Kingdom and experience peace, Christians believe that one must develop a personal relationship with Jesus Christ, who stated: " Come to me, all you who labor and are burdened, and I will give you rest.

For example, flint glass has V < 50 and crown glass has V > 50.

For example, after Henry V of England defeated a French army on October 25, 1415, he met with the senior French herald and they agreed to name the battle after the nearby castle and so it was called the Battle of Agincourt.

For a time, the combined company retained the Burroughs processors as the A and V systems lines.

For example, an endomorphism of a vector space V is a linear map ƒ: V → V, and an endomorphism of a group G is a group homomorphism ƒ: G → G. In general, we can talk about endomorphisms in any category.

For some reason, probably associated with local politics, he subsequently found himself unpopular in Halicarnassus and, sometime around 447 BC, he migrated to Periclean Athens, a city for whose people and democratic institutions he declares his open admiration ( V, 78 ) and where he came to know not just leading citizens such as the Alcmaeonids, a clan whose history features frequently in his writing, but also the local topography ( VI, 137 ; VIII, 52-5 ).

For a simple metal where there is only one type of charge carrier ( electrons ) the Hall voltage V < sub > H </ sub > is given by

For N interacting particles, i. e. particles which interact mutually and constitute a many-body situation, the potential energy function V is not simply a sum of the separate potentials ( and certainly not a product, as this is dimensionally incorrect ).

For the five 6. 4 meganewton sea-level thrust F-1 rocket engines of the Saturn V, burning together, the reaction generated roughly 1. 62 × 10 < sup > 11 </ sup > watts ( J / s ) ( 162 gigawatt ) or 217 million horsepower.

For every two-person, zero-sum game with finitely many strategies, there exists a value V and a mixed strategy for each player, such that

" For example, in C minor one finds E major ( III, rather than V / VI ) while in C major one finds E major ( V / vi, rather than III ), both of which are chromatic chords.

For this circuit to work, V < sub > CC </ sub >>> V < sub > BE_Q1 </ sub > ( for example: V < sub > CC </ sub >= 5 V, V < sub > BE_Q1 </ sub >= 0. 6 V ), therefore the equation can be simplified to:

For two centuries Euclid had been taught from two Latin translations taken from an Arabic source ; these contained errors in Book V, the Eudoxian theory of proportion, which rendered it unusable.

For his part, Clement V absolved all the participants in the abduction of Boniface at Anagni.

For example, a 1 cm < sup > 3 </ sup > cube of quartz with 2 kN ( 500 lbf ) of correctly applied force can produce a voltage of 12500 V.

For example, a PLC might use 24 V DC I / O, with values above 22 V DC representing On, values below 2VDC representing Off, and intermediate values undefined.