( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.

At the same time, because the personal code of the detective coincides with the legal dictates of his society, because he likes to catch criminals, he is in middle class eyes a virtuous man.

Thus the transformation of Adam Smith's ideal entrepreneur into a mythological detective coincides closely with the decline of the real entrepreneur in economic life.

The basic premise of all mystery stories is that the distinction between good and bad coincides with the distinction between legal and illegal.

Their appearance, next spring, coincides in an almost uncanny way with the flowering of their host plants.

They are commonly called " Christmas Bells ", because of the shape of their flowers and their flowering time, which coincides with Christmas in Australia.

Eastern Anatolia roughly coincides with the western half of the Armenian Highland.

On non-leap years, the day coincides with Hansik.

This coincides with the previous example when M is a finitely-generated, free R-module.

This means that the building's alignment towards the place on the horizon where Venus first appears in the evening sky ( when it coincides with the rainy season ) may be meaningful.

That this day coincides with Christian Sabbath is not a bar to the state's secular goals ; it neither reduces its effectiveness for secular purposes nor prevents adherents of other religions from observing their own holy days.

Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

This notion of ideal coincides with the notion of ring ideal in the Boolean ring A.

When the Banach algebra A is the algebra L ( X ) of bounded linear operators on a complex Banach space X ( e. g., the algebra of square matrices ), the notion of the spectrum in A coincides with the usual one in the operator theory.

The norm of a normal element x of a C *- algebra coincides with its spectral radius.

The leaf loss coincides with the dry season in tropical, subtropical and arid regions.

The 800-kilometre boundary with Thailand, coincides with a natural feature, the watershed of the Dangrek Mountains, only in its northern sector.

Although the change from rolls to codices roughly coincides with the transition from papyrus to parchment as favourite writing material, the two developments are quite unconnected.

In around 500 BCE, after the Zhou state weakened and China moved into the Spring and Autumn Period, the classic period of Chinese philosophy began ( it is an interesting fact that this date nearly coincides with the emergence of the first Greek philosophers ).

Canada Day also coincides with Quebec's Moving Day, when many fixed-lease apartment rental terms expire.

It coincides with the “ abomination of desolation ” – a desecration of the temple where the Antichrist puts an end to the Jewish sacrifices, sets up his own image in the temple, and demands that he be worshiped as God.

For the entire content of the work ... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.

Therefore, inherent in systems of power, is always " truth ," which is culturally specific, inseparable from ideology which often coincides with various forms of hegemony.

Maximus ' bid for imperial power in 383 coincides with the last date for any evidence of a Roman military presence in Wales, the western Pennines, and the fortress of Deva.

This timing, which is consistent with fossil evidence, coincides with a late-Miocene cooling, which caused the evolution of a variety of western grassland habitats.

9 May coincides with the eve of the German invasion of The Netherlands, Belgium, Luxemburg and France and with Victory Day, the end of World War II in the former Soviet Union ( celebrated on 8 May in western Europe ).

This coincides with the final demise of Avar hegemony over the western Balkans.

To put it concretely, in the eastern sector it coincides in the main with the so-called McMahon line, and in the western and middle sectors it coincides in the main with the traditional customary line which has consistently been pointed out by China.

In February 2009, the WGWAP reported that the number of western gray whales observed in the near-shore ( primary ) feeding area had significantly declined in the summer of 2008, which coincides with industrial activities conducted by ENL ( and other companies ) in the area.

The border between the western and eastern subgroups roughly coincides with the border between Bavaria and Austria.

The Khmer Buddhist calendar is divided into 12 months with the traditional new year beginning on the first day of khae chaet which coincides with the first new moon of April in the western calendar.

The 4th century BCE demise of Attic vase painting tellingly coincides with the very period when the Etruscans, probably the main western export market, came under increasing pressure from South Italian Greeks and the Romans.

The magnetic field of the two systems coincides ( in a half space ).

Most of this period coincides with the second half of the Eastern Zhou Dynasty, although the Chinese sovereign ( king of Zhou ) was merely a figurehead.

the last half of one block coincides with the first half of the next block.

In more than half of Japan, the cherry blossoming period coincides with the beginning of the school and fiscal years, and so welcoming parties are often opened with hanami.

Three are from Stratum II and date it with some certainty to the second half of the 9th millennium BC, which coincides with early dates from Çayönü and with Mureybet IVA and thus supports the relative chronology above.

Though nothing definite can be said about the beginnings of theology among Muslims, what is certain is that discussion of some of the problems, such as the issue of predestination, free will and Divine Justice, became current among Muslims during the first half of the 2nd century of Islam coincides with 8th century.

The show coincides with the latter half of the NASCAR broadcast schedule.

* Diaeresis ( prosody ), pronunciation of vowels in a diphthong separately, or the division made in a line of poetry when the end of a foot coincides with the end of a word

In the spacetime diagram on the right, drawn for the reference frame of the Earth-based twin, that twin's world line coincides with the vertical axis ( his position is constant in space, moving only in time ).

In geometry, the tangent line ( or simply the tangent ) to a plane curve at a given point is the straight line that " just touches " the curve at that point — that is, coincides with the curve at that point and, near that point, is closer to the curve that any other line passing through that point.

Thus, the reading is given by the number of whole divisions that are visible on the scale of the frame, multiplied by 25 ( the number of thousandths of an inch that each division represents ), plus the number of that division on the thimble which coincides with the axial zero line on the frame.

Thus, the reading is given by the number of millimetre divisions visible on the scale of the sleeve plus the particular division on the thimble which coincides with the axial line on the sleeve.

The additional digit of these micrometers is obtained by finding the line on the sleeve vernier scale which exactly coincides with one on the thimble.

The following 2-3 bass line coincides with three of the clave's five strokes.

* The first year of the Universal Century, the time line in which the 1979 anime series Mobile Suit Gundam and many of its sequels takes place, coincides with 2081.

The straight line must be located such that each of its end-points coincides with the device's actual upper and lower range values.

In dactylic hexameter, a caesura occurs any time the ending of a word does not coincide with the beginning or the end of a metrical foot ; in modern prosody, however, it is only called one when the ending also coincides with an audible pause in the line.

Addition in the second dimensional cohomology group coincides with tensor product of complex line bundles.

This fact could be useful in proving the Euler line of the intouch triangle of a triangle coincides with its OI line.

If X is the toric variety corresponding to the normal fan of P, then P defines an ample line bundle on X, and the Ehrhart polynomial of P coincides with the Hilbert polynomial of this line bundle.

The 2-3 bass line of " Dame un cachito pa ' huele " ( 1946 ) coincides with three of the clave's five strokes.

Since the reign of Roman Emperor Augustus ( end of first century BCE ), the northern border of the peninsula has been set on the Alps watershed, but geographically it coincides with a line extending from the Magra to the Rubicone rivers, north of the Tuscan-Emilian Apennines, which excludes the Po Valley and the southern slope of the Alps.

The vanes are not centred on the bar but offset so that the sight line coincides with the edge of the bar.