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Page "Associative algebra" ¶ 42
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coincides and with
( 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 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.

coincides and previous
The twelfth entry ša arsi ... indicates that the limmu ‘ which is after ’ ( the previous name ) either suggesting that the original from which this list was copied was defective in this place or the gap in the office coincides with a period of turbulence.
One then may check that this alternative definition coincides with whatever other definition one may favor, or use the previous axiomatic characterization.
Of course, if X is compactly generated and Hausdorff, this definition coincides with the previous one.

coincides and example
Sometimes the calculations are simpler ( an example is inertial circles ), and sometimes the intuitive picture coincides more closely with the rotational frame ( an example is sedimentation in a centrifuge ).
For example, proposition I. 4, side-angle-side congruence of triangles, is proved by moving one of the two triangles so that one of its sides coincides with the other triangle's equal side, and then proving that the other sides coincide as well.
" An individual's name change often coincides with a religious conversion ( Muhammad Ali changed his name from Cassius Clay and Louis Farrakhan changed his from Louis Eugene Walcott, for example ) or involvement with the black nationalist movement ( e. g., Amiri Baraka and Assata Shakur ).
The logic of using Lady Day as the start of the year is that it roughly coincides with Equinox ( when the length of day and night is equal ); many ancient cultures still use this time as the start of the new year, for example, the Iranian new year.
Night Fantasies, for example, uses a 216: 175 tempo relation that coincides at only two points in the entire 20 + minute composition.
The distribution of some species coincides with the isohaline and isotherm layers of the ocean ; for example, in Opisthoproctus soleatus upper distribution limits coincide with the 400-metre isotherm for 8 ° C.
As an example, the Spanish were received peaceably in Tzintzuntzan by Tangáxuan II, the cazonci of the Tarascan state, which largely coincides with the modern state of Michoacán.

coincides and when
* 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
" New Day " in Persian ): the Persian New Year ; the first day of the Persian calendar, i. e. 1st of Farvardin, is observed on the Vernal Equinox and usually coincides with March 21st, except for leap years when it coincides with March 20th.
* In the Coptic Orthodox Church, the New Year, called Neyrouz, coincides with 11 September in the Gregorian calendar between 1900 and 2099, with the exception of the year before Gregorian leap years, when Neyrouz occurs on 12 September.
The festival coincides with a smelt run when these small fish make their yearly journey into fresh water to breed.
Note that when N = R, the map dφ < sub > x </ sub >: T < sub > x </ sub > M → R coincides with the usual notion of the differential of the function φ.
In other words, when the arch is drafted, the radius is exactly the width of the opening and the centre of each arch coincides with the point from which the opposite arch springs.
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 American elm is particularly susceptible to disease because the period of infection often coincides with the period, approximately 30 days, of rapid terminal growth when new springwood vessels are fully functional.
" Clave resolves in the second measure when the last stroke coincides with the last main beat of the cycle.
Its celebration falls on the 1st day of the month of Thout, the first month of the Egyptian year, which for 1901 to 2098 usually coincides with 11 September, except before a Gregorian leap year when it is 12 September.
This center of gravity exists only when the force is uniform, in which case it coincides with the center of mass.
Sidereal astrology believes that the starting point is at a particular fixed position in the background of stars, while tropical astrology ( which is adopted by the majority of Western astrologers ) believes that the starting point is when the position of the Sun against the background of stars coincides with the Northern hemisphere vernal equinox ( i. e. when the Sun position against the heavens crosses over from the southern hemisphere to the northern hemisphere ) each year.
A revised version fails in June when it coincides with the Duke of Monmouth's invasion.
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.
As a consequence, once during the 18. 6-year nodal period, when the ascending node of the Moon's orbit coincides with the vernal equinox, then the Moon reaches extreme northern and southern declinations.
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.

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