( 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.

The A-baulk coincides with the western half of the yard line along the south boundary ; the B-baulk occupies the eastern half of the north boundary yard line.

That is, a holomorphic function f has derivatives of every order at each point a in its domain, and it coincides with its own Taylor series at a in a neighborhood of a.

Furthermore, every other year the Venice Biennale coincides with nearby Art Basel, the world's prime commercial fair for modern and contemporary art.

This coincides with the ordinal successor operation for finite cardinals, but in the infinite case they diverge because every infinite ordinal and its successor have the same cardinality ( a bijection can be set up between the two by simply sending the last element of the successor to 0, 0 to 1, etc., and fixing ω and all the elements above ; in the style of Hilbert's Hotel Infinity ).

The city celebrates Tanduyong Festival every month of April which coincides with the city fiesta.

The YRDSB is governed by an elected board of trustees, whose election coincides with the municipal elections in Ontario held throughout the province every four years.

The most common geometric arrangement is where some convex polyhedron is in its canonical form, which is to say that the all its edges must be tangent to a certain sphere whose centre coincides with the centre of gravity ( average position ) of the tangent points.

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

Its date coincides so nearly with that of the Commonitory as to preclude all doubt as to the identity of authorship on that score, and it must be confessed that its animus and that of the 70th and 86th sections of the Commonitory are too much in keeping to make it difficult to believe that both are from the same pen.

it appears that neither the Gelukpa textbook writers nor modern scholars such as Lati Rinpoche and Gendun Lodro were in a position to conclude that the first moment of the fifth stage of Vasubandhu's system of breath meditation coincides with the attainment of special insight and that, therefore, the first four stages must be a method for cultivating special insight.

This conception of liberty, which coincides with the Libertarian point-of-view, suggests that people should, must, and ought to behave according to their own free will, and take responsibility for their actions, while in contrast, Social liberal conceptions of ( positive liberty ) liberty place an emphasis upon social structure and agency and is therefore directed toward ensuring egalitarianism.

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.

Optical axis ( coincides with red ray ) and rays symmetrical to optical axis ( pair of blue and pair of green rays ) propagating through different lenses.

For a system composed of simple lenses and mirrors, the axis passes through the center of curvature of each surface, and coincides with the axis of rotational symmetry.

This coincides with an increasingly more vigorous circulation of the ocean ’ s surface and deep waters brought about by increasing latitudinal thermal gradients at the onset of major ice sheet expansion on Antarctica and progressive cooling through the Neogene and Quaternary towards a bipolar glaciated world.

Since the pressure gradient normal to the flow within a boundary layer is approximately zero for low to moderate hypersonic Mach numbers, the increase of temperature through the boundary layer coincides with a decrease in density.

Because the sacrifice of Jesus through his crucifixion is commemorated on this day, the Divine Liturgy ( the sacrifice of bread and wine ) is never celebrated on Great Friday, except when this day coincides with the Great Feast of the Annunciation, which falls on the fixed date of March 25 ( for those churches which follow the traditional Julian Calendar, March 25 currently falls on April 7 of the modern Gregorian Calendar ).

The passage of radioactively tagged tracers, injected at elevated pressure, through the lymph node-venous communications coincides with the increased pressures of injection and subsequent nodal palpation in dogs.

Once the computer knows where the gun is pointed, it can tell through collision detection if it coincides with the target or not.

This trend continues through late autumn and winter, with a marked drop in precipitation beginning in April which coincides with a gradual rise in temperature into late spring and summer.

Spanaway's main business thoroughfare is Pacific Avenue South, which is a north-south road that coincides with State Route 7 through the Spanaway area.

This coincides with a lawsuit brought against eight people in an attempt to prevent future piracy of their books, and includes the recent 4th edition Dungeons & Dragons products that were made available through these places as well as all older editions PDFs of the game.

The North Country Trail coincides with the Buckeye Trail for a large part of its route, and the American Discovery Trail also coincides with it through southern Ohio.

Solar eclipses occur when the passage of the Moon through a node coincides with the new moon ; lunar eclipses occur when passage coincides with the full moon.

This corner also coincides with one of the steepest sections of the motorway, for which north-bound heavy goods vehicles ( HGVs ) are sign-posted to stay in a low gear and often brake continuously through the turn.

An annual basketball tradition is Hawaiian Night, which usually coincides with the Winter Meltdown festival held during the second week of the Spring Semester ( which lasts from early January through early May ).

It coincides with Interstate 77 between two junctions at mileposts 146 and 135 ( from north to south ) and again splits, State Route 21 passing through Barberton and Massillon, Interstate 77 passing through the much larger cities of Akron and Canton.

The flute is in tune with this higher section, but through microintervals and glissandos also coincides with the lower section.

In more detail, given a list of words, and a single word, we define a tangle from to to be a disk D in the plane, with points around its circumference labelled in order by the letters of, with internal disks removed, indexed 1 through k, with the i-th internal disk having points around its circumference labelled in order by the letters of, and finally, with a collection of oriented non-intersecting curves lying in the remaining portion of the disk, with each component being labelled by an element of the label set, such that the set of end points of these curves coincide exactly with the labelled points on the internal and external circumferences, and at the initial points of the curves, the label on the curves coincides with the label on the circumference, while at the final points, the label on the curve coincides with the involute of the label on the circumference.

The first signs of dropping ground water levels was the drying up of natural springs in the 1930s, which coincides with the beginning of intensive exploitation of the aquifer system through wells between deep.

A 2012 stage adaptation of the same title also coincides with the Olympics, opening 9 May at London's Hampstead Theatre and transferring to the West End from 23 June through 2 February 2013.