Coincide sentence example

coincide
  • The belt of folding does not precisely coincide with this central sea, but the correspondence is fairly close.

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  • The loading and unloading curves do not exactly coincide.

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  • The festival was timed to coincide with the lunar New Year.

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  • A notable feature in both classes of curves is that, owing to hysteresis, the ascending and descending limbs do not coincide, but follow very different courses.

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  • It is found that the subdivisions in this system demanded by palaeobotanists do not always coincide with those acknowledged by palaeozoologists; nevertheless there is general agreement as to the main divisional lines.

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  • Many of the old dioceses represent ancient tuatha, and even enlarged modern dioceses coincide with the territories of ancient tribal states.

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  • For the measurement of wider stars he invented his lamp-micrometer, in which the components of a double star observed with the right eye were made to coincide with two lucid points placed io ft.

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  • It would be almost truer, though only half the truth, to say that the clergy gave the name of Crusade to sanctify interests and ambitions which, while set on other ends than those of the Church, happened to coincide in their choice of means.

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  • From the law of angular motion of the latter its radius vector will run ahead of PQ near A, PQ will overtake and pass it at apocentre, and the two will again coincide at pericentre when the revolution is completed.

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  • The firm establishment of the doctrine of practical monotheism happened to coincide in time with the destruction of the national political life (in the 6th century B.C.).

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  • Towards the middle of Suleiman's reign even this practice was abandoned, and the sultans henceforth attended the divans only on the distribution of pay to the troops or the reception of a foreign ambassador, which occasions were usually made to coincide.

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  • These cracks coincide with planes of easy separation or of gliding in the crystal; they are especially useful in helping to determine the crystallographic orientation of a cleavage flake of mica when crystal faces are absent.

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  • The action depends upon the difference of the pressure on the liquid at the extremities of the tube, the flow being towards the lower level and ceasing when the levels coincide.

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  • A portion of the estate, equal in size to the average holdings, is left to the owner, without, however, the proviso that this portion must necessarily coincide with the administrative centre, the manor or family house.

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  • The distinction of the universal essence and the individualizing determinations in the individual does not coincide, he maintained, with the distinction between form and matter.

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  • The declared aim of the author 1 was to offer a complete solution of the great mechanical problem presented by the solar system, and to bring theory to coincide so closely with observation that empirical equations should no longer find a place in astronomical tables.

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  • This article, which was based upon a mass of incriminating documents supplied to Friedjung by the Austro-Hungarian Foreign Office, had been timed to coincide with the outbreak of hostilities against Serbia, and was to have been the first of a series convicting the Serbian Government and dynasty of aggressive and even murderous designs.

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  • Imagine a flexible lamina to be introduced so as to coincide with the plane at which resolution is to be effected.

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  • The exports of Baden, which coincide largely with the industries just mentioned, are of considerable importance, but the bulk of its trade consists in the transit of goods.

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  • Boscovich himself, in order to obviate the possibility of two atoms ever being in the same place, asserts that the ultimate force is a repulsion which increases without limit as the distance diminishes without limit, so that two atoms can never coincide.

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  • This opinion is deduced from our experience of the behaviour of bodies of sensible size, but we have no experimental evidence that two atoms may not sometimes coincide.

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  • If we measure t from an instant at which the two trains exactly coincide, then as U for the other train has the opposite sign, its displacement is represented by y2= a sin (x+Ut).

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  • The end of this period is generally said to coincide with the loss of the French provinces to Philip Augustus, but literary and political history do not correspond quite so precisely, and the end of the first period would be more accurately denoted by the appearance of the history of 'William the Marshal in 1225 (published for the Societe de l'histoire de France, by Paul Meyer, 3 vols., 1891-1901).

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  • The magnet having been attached, the instrument is rotated about its vertical axis till the centre division of the scale appears to coincide with the vertical cross-wire of the telescope.

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  • The axis of the magnet is horizontal and at the same level as the mirror magnet, while when the central division of the scale B appears to coincide with the vertical cross-wire of the telescope the axes of the two magnets are at right angles.

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  • Hence, when the microscopes are adjusted so as to coincide with the points of the dipping needle a, the axes of the two needles must be at right angles.

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  • The magnetic axis of any system of needles must exactly coincide with the axis passing through the north and south points of the card.

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  • Thus the moral life and the religious life coincide, and when normal are identical; both have the same aim and are occupied with the same task, the accomplishment of the spiritualization of the world.

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  • The development of this small mark into the AustroHungarian monarchy was a slow and gradual process, and falls into two main divisions, which almost coincide with the periods during which the dynasties of Babenberg and Habsburg have respectively ruled the land.

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  • Not unfrequently the divine word was found to coincide with the advice which Mahomet had received from his most intimate disciples.

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  • The practice, under the Roman empire, of making the areas of ecclesiastical administration very exactly coincide with those of the civil administration, was continued in the organization of the church beyond the borders of the empire, and many dioceses to this day preserve the limits of long vanished political divisions.

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  • In cases of nearly symmetrical distribution about the mean, the three "types," the mean, the median and the mode, may sensibly coincide.

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  • We cannot say by our present method of determination, how this document closed; for in the narratives of the Passion and the Resurrection St Matthew and St Luke only coincide in passages which they have taken from St Mark.

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  • Their jurisdictions coincide for the most part with the magisterial and fiscal boundaries.

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  • This is the view of Hegel upon which logic comes to coincide with the progressive self-unfolding of thought in that type of metaphysic which is known as absolute, i.e.

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  • In other words, if the system (considered as rigid) be made to turn about till the first factor coincides with i and the second with j, the product will coincide with k.

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  • Their origin is the fact that where the bars appear nearly to coincide the apparent gaps bear the greatest ratio to the dark spaces; i.e.

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  • Religion is in our emotions of reverence and dependence, and theology is the intellectual attempt to describe the object of worship. Doubtless the two do not exactly coincide, not only because accuracy is difficult or even impossible, but also because elements are admitted into the definition of God which are derived from various sources quite distinct from the religious experience.

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  • If, however, the first and last sides of the funicular coincide, the two outstanding forces neutralize one another, and we have equilibrium.

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  • The directions of these axes are determined by the property (24), and therefore coincide with those of the principal axes of inertia at 0, as already defined in connection with the theory of plane quadratic moments.

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  • It is to be carefully noticed that the axis of resultant angular momentum about 0 does not in general coincide with the instantaneous axis of rotation.

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  • The axis of resultant angular momentum is therefore normal to the tangent plane at J, and does not coincide with OJ unless the latter be a principal axis.

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  • Now consider a system of fixed axes Ox, Oy, Oz chosen so as to coincide at the instant I with the moving system Ox, Oy, Os.

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  • At the instant t+t, Ox, Oy, Os will no longer coincide with Ox, Oy, Os; in particular they will make with Ox angles whose cosines are, to the first order, I, rot, qOt, respectively.

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  • If we now apply them to the case of a rigid body moving about a fixed point 0, and make Ox, Oy, Oz coincide with the principal axes of inertia at 0, we have X, u, v=Ap, Bq, Cr, whence A (B C) qr = L,

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  • Describe the figures of teeth for the developed arcs as for a pair of spur-wheels; then wrap the developed arcs on the cones, so as to make them coincide with the pitch-circles, and trace the teeth on the conical surfaces.

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  • The vector required to close it will determine the second balance weight, the work may be checked by taking the reference plane to coincide with the plane of revolution of the second balance weight and then re-determining them, or by taking a reference plane anywhere and including the two balance weights trying if condition (c) is satisfied.

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  • Systems in which the two astigmatic surfaces coincide are termed anastigmatic or stigmatic.

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  • The times at which the satires were given to the world do not in all cases coincide with those at which they were written and to which they immediately refer.

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  • That the surface may coincide with the edge of the orifice, which is a rectangle, whose sides are a and b, we must have pa=m7r, qb=nir, when m and n are integral numbers.

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  • Rejecting miracles and denying the infallibility of Scripture, protesting against Calvinistic views of sovereign grace and having no interest in evangelical Arminianism, the faith of such inquirers seems fairly to coincide with that of the deists.

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  • The other strange feature is that from near Isola in the upper Tinee valley southwards the political frontier does not coincide with the physical frontier, or the main watershed of the Alpine chain; the reason (it is said) is that in 1860 all the higher valleys of the Maritime Alps (on both sides of the watershed) were expressly excepted from the treaty of cession, in order that Victor Emmanuel II.

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  • Usually they are interpenetration twins with the principal axis as twin-axis; the prism planes of the two individuals coincide, and the faces r and z also fall into the same plane.

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  • Parallel shafts may be driven by flexible bands or connectors passing over pulleys, the central planes of which coincide, without any guiding arrangements for the belting.

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  • It is, moreover, to be noticed that the points at infinity may be all or any of them imaginary, and that the points of intersection, whether finite or at infinity, real or imaginary, may coincide two or more of them together, and have to be counted accordingly; to support the theorem in its universality, it is necessary to take account of these various circumstances.

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  • Again, when there is in question only one pair of points or lines, these, if coincident, must be real; thus, b line meets a cubic curve in three points, one of them real, and other two real or imaginary; but if two of the intersections coincide they must be real, and we have a line cutting a cubic in one real point and touching it in another real point.

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  • He then adjusts the instrument so that the cross threads coincide with their images reflected from the surface of the quicksilver.

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  • These movements coincide with the inroads of the Picts and Scots recorded by Roman writers.

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  • From the commencement it was evident that he was prepared to give effect to a policy of colonial expansion, and to exercise an independence of action that did not coincide with the views of the monarch or of his minister Colbert.

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  • These forms then cannot be merely the products of our psychological mechanism, though they may turn out to coincide with these.

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  • When, however, the planes of polarization and analysation are parallel or crossed, the two pairs of principal lines of like polarization coincide, and the intensity is at all points in the former case not greater than, and in the latter case not less than, it was before the introduction of the plate.

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  • These divisions (it will be observed) exactly coincide with the geographical features of the Peninsula.

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  • If the instrument has a sensible lens diameter, and is arranged so that the centre of rotation of the eye can coincide with the intersection of the principal rays, the lens can then form with the eye a centred system.

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  • When this occurs the greatest brightness will be obtained if the corresponding diaphragms of the two systems coincide; i.e.

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  • To obviate mistakes the optical axis of the microscope must coincide with the revolving axis of the plate, and the revolving plate has a central position C to keep this condition fulfilled.

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  • The fourteen-month term is an immediate result of the fact that the axes of rotation and figure of the earth do not strictly coincide, but make with each other a small angle of which the mean value is about o 15".

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  • The book was launched to coincide with the Bradford Dementia Group's ten-year anniversary.

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  • The new appointments coincide with the Bristol Academy of Sport's move into its new purpose-built state-of-the-art campus near Filton High School.

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  • The surveillance approach course line will coincide with the runway centerline extended.

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  • But the timelines don't neatly coincide with Beg's rule.

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  • Nonetheless, " The RNA tumor viruses also have buoyant densities that coincide with those of certain cellular constituents.

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  • The first week of April saw a deluge of product announcements timed to coincide with the JavaOne Today exhibition in San Francisco.

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  • Today's lunar eclipse could coincide with benefits coming your way.

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  • Thus her tacit view of accounting does not always coincide with the publicly espoused view of accounting promoted by course materials or by her.

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  • If you are lucky your Benissa holidays will coincide with one of the townâs colorful fiestas.

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  • Perhaps we can arrange a get-together to coincide with next year's school celebrations.

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  • To coincide with the office move, the Trust has unveiled a new brand identity.

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  • Flights BUNAC will arrange your group flight to coincide with your arrival orientation.

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  • To coincide with the top 50 the magazine and Orange are inviting punters to vote for their favorites via SMS.

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  • To coincide with the album release - these cheeky young scamps will spend most of 07 in the van!

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  • It happens when moduli of coherent sheaves over a K3 surface with a given Mukai vector coincide with this K3 surface.

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  • The conditions for fulfillment of this societal need will not always coincide with the employer's interest in ensuring the subordination of the employe.

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  • Watch out for our second film tie-in activity, which will coincide with the movie's release!

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  • For example the coherent and finitely presented objects in the the abelian analog of the classifying topos actually coincide.

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  • There will follow a silent vigil outside Downing Street, timed to coincide with the Queens speech.

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  • According to the great Avicenna and Maimonides, faith and the highest reason are sure to coincide (see Arabian Philosophy).

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  • By it the theoretical and practical reason shall be shown to coincide; for while the categories of cognition and the whole system of pure thought can be expounded from one principle, the ground of this principle is scientifically, or to cognition, inexplicable, and is made conceivable only in the practical philosophy.

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  • Robert Smith (Harmonics, 2nd ed., 1 759, p. 95) states that Sauveur " inferred that octaves and other simple concords, whose vibrations coincide very often, are agreeable and pleasant because their beats are too quick to be distinguished, be the pitch of the sounds ever so low; and on the contrary, that the more complex consonances whose vibrations coincide seldom are disagreeable because we can distinguish their slow beats; which displease the ear, says he, by reason of the inequality of the sound.

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  • Moreover, the above-suggested explanation does not coincide with the explanation of the likeness to ants shown by certain insects such as Myrecophana fallax, the ant and leaf-like Membracid Homopteron and the larvae of the lobster-moth (Stauropos fagi), which are plant-eaters.

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  • Schrader, de St Sand and Wallon, that, taken as a whole, the range must be regarded, not as formed on the analogy of a fern-frond or fish-bone, with the lateral ridges running down to the two opposite plains, but rather as a swelling of the earth's crust, the culminating portion of which is composed of a series of primitive chains, which do not coincide with the watershed, but cross it obliquely, as if the ground had experienced a sidewise thrust at the time when the earth's crust was ridged up into the long chain under the influence of contraction.

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  • This was released to coincide with her tour in Britain in June/July, sorry I missed her in Edinburgh, but maybe next time.

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  • The conditions for fulfillment of this societal need will not always coincide with the employer 's interest in ensuring the subordination of the employe.

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  • Watch out for our second film tie-in activity, which will coincide with the movie 's release !

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  • This early version of the tool-kit was timed to coincide with UfI 's call for the establishment of 100 Learning Center Hubs.

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  • Like adults, babies have their own personalities which means their sleep patterns may not coincide with parental sleep times.

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  • True to their journal entries, the books have a history of being released to coincide with the journals.

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  • Many online books have interactive features, such as games, questions and quizzes that coincide with the story.

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  • Goth and girly can coincide; anyone who wants the full effects of gothic makeup needs to take care of their skin appropriately.

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  • This allows teachers to customize what they want their children to learn through the game to coincide with curriculum.

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  • For example, if your family members are die hard football fans, it may be best to schedule your wedding on a weekend that does not coincide with a big game.

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  • B'Day, the follow-up album, is scheduled for a September, 5, 2006 USA release, to coincide with her 25th birthday.

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  • Mind you, everything was timed to coincide with the release of her box office disaster, Burlesque.

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  • Many parents book a Carnival Conquest Christmas cruise to coincide with their children's winter vacation from school.

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  • These signs signal the onset of ovulation, and breedings are best planned to coincide with this timing.

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  • Keeping a gardening journal will help you pinpoint which natural events, such as frog calls, the return of particular birds or the leafing out of trees will coincide with frost-free days in your region.

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  • Plan the amount of light to coincide with what you will be doing.

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  • For seniors whose health and social needs coincide with the level of care provided in this type of facility, this living option can be a nice compromise between completely independent living and moving to a nursing home.

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  • Reader Rabbit also has adjustable levels to coincide with your child's learning ability.

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  • Guitar Hero Explorer (Ghex) is a program you can use to import songs that can be custom coded with note charts to coincide with the Guitar Hero game.

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  • A series of notes will cascade down to the bottom of the screen and you'll need to time your button presses to coincide with the music.

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  • A competing 4G wireless technology that will coincide with GSM-based providers is something called LTE or Long-Term Evolution.

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  • Many of these activities coincide with religious beliefs and customs.

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  • Often, deficits in social competence and peer rejection coincide with other emotional and behavioral problems, including attention deficits, aggression, and depression.

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  • Hypoglycemia, or low blood sugar, can be caused by too much insulin, too little food (or eating too late to coincide with the action of the insulin), alcohol consumption, or increased exercise.

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  • For some bipolar patients, manic and depressive episodes coincide with seasonal changes.

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  • Sometimes this will coincide with the length of the song the dance is performed to, but usually it is the duration of a verse and chorus.

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  • Some people use lucky coins, memento coins, and coins with specific mint dates that coincide with special events in their lives such as a birthday, anniversary, graduation, and so on.

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  • If you want to stay at the height of fashion and style, consider changing your hair color to coincide with highlight trends.

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  • People who are considering purchasing a home typically watch trends in interest rates very closely in the hopes of being able to time their purchase decision to coincide with the lowest possible rate.

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  • Keep in mind the style of dress that looked best on you before your pregnancy, then modify it to coincide with how your body has changed.

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  • After determining that your symptoms coincide with those of a tubal pregnancy, your doctor may perform one or more other tests to determine your status.

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  • Rarely does the fashion industry coincide with the weather, making it difficult to find those last minute buys.

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  • A physician familiar with vitamin D deficiency treatments will based his or her recommendations on the severity of the vitamin D deficiency as well as any subsequent symptoms or conditions that coincide with the vitamin deficiency.

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  • Princesses and pirates alike may experience a resurgence when they coincide with a hot movie, but they're also costumes that can be a hit year after year.

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  • For this reason the frequency of calling should coincide with this building of emotion for both of you.

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  • If that happens to coincide with Valentine's Day, so much the better, but rushing or delaying a marriage proposal in order to utilize a holiday can taint the intentions behind the question.

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  • If the party is very formal, however, with catering or reservation requirements, the invitations may need to be sent earlier to coincide with vendor deadlines.

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  • Finally, you can consult the chart to align your child's gender with your preferred Chinese astrological sign by waiting to conceive until your age and target conception month both coincide with the appropriate year.

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  • They present the material in a fun, interesting way, and many of the topics may coincide with what kids are learning in school.

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  • Whether soccer, basketball, baseball, or soccer is their sport of choice, they will want to revamp their room's image to coincide with their new hobby.

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  • This page is updated to coincide with the release of a new charity event.

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  • Rather, think of it as a site listing fun and cool websites that possibly happen to coincide with your child's homework!

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  • While the 20 percent off coupon may only be extended to a single item, consumers can plan their purchases to coincide with new coupons.

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  • One to two weeks is typical for these kinds of coupons, so plan your evenings out to coincide with your coupon's expiration.

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  • Another way to save on zoo admission is to time your visit to coincide with special occasions.

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  • If you are flexible about when you want to stay at the Mirage property, you can time your trip to coincide with the best rates.

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  • Additionally, if your passion does not coincide with marketability and profitability your business may not last very long.

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  • Going back to the idea that the original type O people were hunters who would have led an active lifestyle in their pursuit of food, vigorous exercise is recommended for type O individuals to coincide with their higher protein diet.

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  • Many beginning learners want to try to make a dix-trois or something similar to coincide with the "teens" in English.

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  • It was Albarn who had the release date for the single put forward to coincide with Oasis' 'Roll With It'.

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  • The West Side Story soundtrack was released in 1961 to coincide with the movie adaptation of the stage production.

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  • Therefore, choose dates for children's overnight parties that do not coincide with weekend sport meets, family events or upcoming tests.

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  • If your party theme for Sesame Street features a number or letter of the day just like the television show, consider making party favors that coincide with that theme.

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  • Daisy released a solo single to coincide with the launch of Daisy of Love.

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  • You'll need to either live close enough to the studio to drive there, or plan your visit to coincide with travel plans.

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  • The final episode of the first season of Fantasia For Real aired in February 2010 to coincide with the release of her third studio album.

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  • The image of a normal reseau-square, as viewed in the microscope, shall exactly coincide with the square formed by the fixed webs - that is to say, the image of the sides of a normal reseau-square shall measure exactly io screw-revolutions.

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  • In the vilayet of Scutari they form about 55% of the population; central Albania is almost entirely Moslem; in southern Albania, however, there is a considerable Christian population, whose limits practically coincide with those of the Greek-speaking districts.

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  • If the 15th always was full moon day, the 7th would coincide well with half moon, but the 21st and 28th would fall away considerably from the moon's phases.

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  • He further expressed the belief that the dark lines D of the solar spectrum coincide with the bright lines of the sodium flame.

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  • Smith, generally coincide.

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  • Jealousy of everything emanating from Rome still keeps the Eastern churches from correcting the calendar according to the Gregorian reformation, and thus their Easter usually falls before, or after, that of the Western churches, and only very rarely, as was the case in 1865, do the two coincide.

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  • This depression is supposed to be a relic of the former post-Pliocene connexion between the Black Sea and the Caspian, and is accepted by most geographers as the natural frontier between Europe and Asia, while others make the dividing-line coincide with the principal water-parting of the Caucasus mountain system.

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  • No doubt they all agreed in saying that they were prosecuting Y g Y g Y P g a search for what they called the true system of nature; but that was nearly the end of their agreement, for in what that true system consisted the opinions of scarcely any two would coincide, unless to own that it was some shadowy idea beyond the present power of mortals to reach or even comprehend.

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  • It will be noticed that in all these theoretical curves the points of initial fusion and solidification do not in general coincide; we reach a different curve first according as we approach the diagram from below, where all is solid, or from above, where all is liquid.

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  • His removal to Heidelberg and the publication of his first important work, Die Anfange der christlichen Kirche and ihrer Verfassung (1837), coincide with the attainment of the principal theological positions with which his name is associated.

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  • Their importance will never be comparable to that of his music; but, just as the reaction against Ruskin's ascendancy as an art-critic has coincided with an increased respect for his ethical and sociological thought, so the rebellious forces that are compelling Wagnerism to grant music a constitution coincide with a growing admiration of his general mental powers.

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  • If in (18) we make 0 coincide with Pf, Pf,.

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  • He commanded the fathers to disperse, and appointed Bologna as their meeting-place in eighteen months' time, his intention being to make the session of the council coincide with some conferences with representatives of the Greek church, which were to be held there with a view to union (18th December 1431).

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  • After 1/nth of a revolution, the two sets of perforations will again coincide, the lateral impulse of the air repeated, and hence the rapidity of rotation increased.

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  • Step by step there have been established in palaeontology a number of laws relating to the evolution of the parts of animals which closely coincide with similar laws discovered by zoologists.

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  • The needle a being suspended between the jewels, and the needle b being held in the clamp, the cross-arm carrying the reading microscopes and the needle b is rotated till the ends of the needle a coincide with the cross-wires of the microscopes.

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  • It is generally acknowledged that they are the equivalent of the Christian Church of the Roman lustrations of the crops in spring, the Ambarvalia, &c. The litania major, or great procession on St Mark's day (April 25) is shown to coincide both in date and ritual with the Roman Robigalia, which took place a.d.

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  • Lipsius, and yet his dogmatic results coincide more nearly with Biedermann's or Pfleiderer's than with the " intermediate though not mediating " position taken up by the Ritschlians.

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  • The results coincide with Maxwell's so far as above stated, though the numerical coefficients do not agree.

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  • The geographical limits of the German language thus do not quite coincide with the German frontiers.

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  • It is convenient to introduce the function =log =log (Q / q) + 01 (4) so that the polygon representing 12 conformally has a boundary given by straight lines parallel to the coordinate axes; and then to determine S2 and w as functions of a variable u (not to be confused with the velocity component of q), such that in the conformal representation the boundary of the and w polygon is made to coincide with the real axis of u.

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  • Thus if the members are pinned together, the, joint consisting of a single circular pin, the centre of which lies in the axis of the piece, it is clear that the direction of the only stress which can be transmitted from pin to pin will coincide with this axis.

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  • An opponent of the Tubingen school, his defence of the genuineness and authenticity of the gospel of St John is among the ablest that have been written; and although on some minor points his views did not altogether coincide with those of the traditional school, his critical labours on the New Testament must nevertheless be regarded as among the most important contributions to the maintenance of orthodox opinions.

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  • Military science, seeing in history innumerable instances of the fact that the size of any army does not coincide with its strength and that small detachments defeat larger ones, obscurely admits the existence of this unknown factor and tries to discover it--now in a geometric formation, now in the equipment employed, now, and most usually, in the genius of the commanders.

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  • In other ways the experiences coincide, the pictures are either fanciful, like illustrations of some unread history or romance, or are revivals of remembered places and faces.

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  • Its commencement, however, does not, as is sometimes stated, coincide with the very day of the flight, but precedes it by sixty-eight days.

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  • The Roman civilization and the Latin language disappeared from the countries which they occupied; indeed it seems that the actual boundaries of the German and French languages nearly coincide with those of their dominion.

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  • With variation of temperature, the surfaces of equal pressure and density need not coincide; but, taking the pressure, density and temperature as connected by some relation,such as the gas-equation, the surfaces of equal density and temperature must intersect in lines lying on a surface of equal pressure.

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  • The isothermals are approximately equilateral hyperbolas (pv= constant), with the axes of p and v for asymptotes, for a gas or unsaturated vapour, but coincide with the isopiestics for a saturated vapour in presence of its liquid.

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  • The China Sea is fully exposed to both monsoons, the normal directions of which nearly coincide with the centre of the channel between the continent of Asia and the eastern islands.

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  • But obviously in either the octave or the fifth, if the tuning is imperfect, beats occur all along the line wherever the tones should coincide with perfect tuning.

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  • In anisotropic bodies, such as crystals, the direction of the magnetization does not in general coincide with that of the magnetic force.

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  • Take as a further example the fifth with harmonic overtones as under The fundamental and overtones of the second either coincide with or fall midway between overtones in the first, and there is no approach to a dissonant frequency of beats, and the concord is perfect.

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  • But this procedure in itself is not sufficient, because, although it would be highly probable that a gas obeying Boyle's law at all temperatures was practically an ideal gas, it is evident that Boyle's law would be satisfied by any substance having the characteristic equation pv = f (0), where f (0) is any arbitrary function of 0, and that the scale of temperatures given by such a substance would not necessarily coincide with the absolute scale.

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