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Then and its

Then Massachusetts switched to its standard tactics.

Then Wilson looked over the church and studied its condition.

Then pour water or light oil from a graduated beaker into the chamber to fill the chamber to its gasket surface.

Then, if the middle number is activated to its greatest potential in terms of this square, through multiplying it by the highest number, 9 ( which is the square of the base number ), the result is 45 ; ;

Then there was a bad delay in getting Mort Lindsey's 30-piece orchestra wedged into its chairs.

Then he penetrated into the Peloponnesus and captured its most famous cities — Corinth, Argos, and Sparta — selling many of their inhabitants into slavery.

Then the Giants took control, as Manning threw for two more TD passes to Mario Manningham and Nicks and the defense completed its shutout of the Falcons to give the New York Giants the win, 24-2, and the Falcons their third straight playoff loss with Matt Ryan and Mike Smith.

Then the copper is passed through an electro-winning process to increase its purity: An electric current is passed through the resulting solution of copper ions.

Then the Greek army counter-attacked and defeated the Bulgarians at Kilkis-Lahanas ( Kukush ), after which the mostly Bulgarian town was destroyed and its population expelled.

Then, removing the catalyst would also result in reaction, producing energy ; i. e. the addition and its reverse process, removal, would both produce energy.

Then each point p of the line can be specified by its distance from O, taken with a + or − sign depending on which half-line contains p.

" Then a wayward airplane slices the radio tower with its wing, the voiceover goes silent, and the lighted callsign goes dark.

Then the quotient space X /~ can be naturally identified with a torus: take a square piece of paper, bend and glue together the upper and lower edge to form a cylinder, then bend the resulting cylinder so as to glue together its two open ends, resulting in a torus.

Then the equivalence class of the pair can be identified with the rational number, and this equivalence relation and its equivalence classes can be used to give a formal definition of the set of rational numbers.

Then one " flows " the charge by systematically redistributing the charge from a vertex to its neighboring vertices according to a set of rules, the discharging procedure.

Then, the definition of a square may be recast with that abstraction as its genus:

Then it mushroomed to nearly 800, 000 members in 1886, but its frail organizational structure could not cope and it was battered by charges of failure and violence.

Then the theory at hand, which is assumed to prove certain facts about numbers, also proves facts about its own statements.

Then it came under Bern from 1536 to 1798 and a number of its cultural treasures, including the hanging tapestries in the Cathedral, were permanently removed.

Then in 1965, a group in Atlanta applied for franchises in both the American Football League and the NFL, acting entirely on its own with no guarantee of stadium rights.

Then, when the U. S. Army Air Forces on the Marianas Islands ran out of conventional thermite incendiary bombs for its B-29 Superfortresses to drop on Japanese cities, its top commanders, such as General Curtis E. LeMay turned to napalm bombs to continue its fire raids on the large Japanese cities.

Let the line of symmetry intersect the parabola at point Q, and denote the focus as point F and its distance from point Q as f. Let the perpendicular to the line of symmetry, through the focus, intersect the parabola at a point T. Then ( 1 ) the distance from F to T is 2f, and ( 2 ) a tangent to the parabola at point T intersects the line of symmetry at a 45 ° angle.

Then and negation

# Then used resolution to attempt to obtain a proof by contradiction by adding the clausal form of the negation of the theorem to be proved.

Then, if the logical negation is used as the antithesis, there is no rigorous way to derive a synthesis.

Then and ¬

Then any model of B is a field of characteristic greater than k, and ¬ φ together with B is not satisfiable.

Then and φ

Then, once this claim ( expressed in the previous sentence ) is proved, it will suffice to prove " φ is either refutable or satisfiable " only for φ's belonging to the class C. Note also that if φ is provably equivalent to ψ ( i. e., ( φ ≡ ψ ) is provable ), then it is indeed the case that " ψ is either refutable or satisfiable " → " φ is either refutable or satisfiable " ( the soundness theorem is needed to show this ).

Then we could have written a formula of degree k which is equivalent to φ, namely.

Then Φ ( x ) = φ.

Then γ 1 and γ 2 are called equivalent at 0 if the ordinary derivatives of φ ∘ γ 1 and φ ∘ γ 2 at 0 coincide.

In particular, let p define the coordinates of points in a reference frame M coincident with a fixed frame F. Then, when the origin of M is displaced by the translation vector d relative to the origin of F and rotated by the angle φ relative to the x-axis of F, the new coordinates in F of points in M are given by

Then the subspace of consisting of functions φ such that all functional derivatives of at φ are zero, that is:

Let U be an open set in R n and φ: U → R n an injective differentiable function with continuous partial derivatives, the Jacobian of which is nonzero for every x in U. Then for any real-valued, compactly supported, continuous function f, with support contained in φ ( U ),

Then φ ( U ) is measurable, and for any real-valued function f defined on φ ( U ),

Then there exists a real-valued Borel measurable function w on X such that for every Lebesgue integrable function f: Y → R, the function ( f ° φ ) w is Lebesgue integrable on X, and

Then replace the ( r, φ ) plane with a surface dimpled in the w direction according to the equation ( Flamm's paraboloid )

Then φ 0 and φ 1 have inverses

Then the final formula in (*) must be true, and φ is also true.

The frame bundle F ( E ) can be given a natural topology and bundle structure determined by that of E. Let ( U i , φ i ) be a local trivialization of E. Then for each x ∈ U i one has a linear isomorphism φ i, x : E x → R k .

Then and together

Schweitzer notes that St. Paul apparently believed in the immediacy of the " Second Coming of Jesus ": " Then we which are alive and remain shall be caught up together with them in the clouds, to meet the Lord in the air: and so shall we ever be with the Lord " ( 1 Thessalonians 4. 17 ).

" Then we who are alive and remain shall be caught up together with them in the clouds to meet the Lord in the air.

Then came shoes, which were two hinged boards with cymbals on the ends that were clashed together.

Then he rebuilds the original manifold by connecting the spheres together with three-dimensional cylinders, morphs them into a round shape and sees that, despite all the initial confusion, the manifold was in fact homeomorphic to a sphere.

: Then arose the famous murderer, Robert Hood, as well as Little John, together with their accomplices from among the disinherited, whom the foolish populace are so inordinately fond of celebrating both in tragedies and comedies, and about whom they are delighted to hear the jesters and minstrels sing above all other ballads.

Then, in the spring of 1941, the German Army and the Finnish Army invaded the Soviet Union together.

Then some local English ex-broadcasters put OCI International together.

Then 7 of these bundles are put together into super bundles.

Then it draws the sides of its throat together, forcing the water through the gill openings, so that it passes over the gills to the outside.

Then they then pass the torch to a Special Olympics athlete and together they run up to the cauldron and light it, signifying the beginning of the games.

Then the grains are " worked ": pressed and kneaded together.

Then the sport soon formed, combining the three sports together called “ Squash ”.

Then the Alexandroff extension of X is a certain compact space X * together with an open embedding c: X → X * such that the complement of X in X * consists of a single point, typically denoted ∞.

Then, at an initiative by the Nature Protection Section of the Slovene Museum Society together with the Slovene Mountaineering Society, a twenty-year lease was taken out on the Triglav Lakes Valley area, some 14 km².

Then the hunt began by the men advancing together toward the buffalo, but no one could kill any buffalo until the warriors of the tribe gave the signal.

Then the Noldor drew swords, and the Teleri their bows, and there was a bitter fight that seemed evenly matched, if not even in favour of the Teleri, until the second Host of the Noldor, led by Fingon, arrived together with some of Fingolfin's people.

Then the spinner overlaps a handful of fiber with the leader, holding both gently together with the left hand, and begins to slowly turn the drive wheel clockwise with the right hand, while simultaneously walking backward and drawing the fiber in the left hand away from the spindle at an angle.

) Then Ishtar called together " her people, the dancing and singing girls, the prostitutes of the temple, the courtesans ," and had them mourn for the Bull of Heaven.

[...] Then Tepeu and Gucumatz came together ; then they conferred about life and light, what they would do so that there would be light and dawn, who it would be who would provide food and sustenance.

Then they would resume their lives together.

Then together, the three Gods created the Menehune, the lesser spirits to be their messengers and servants.

Then, for some unknown reason, they decided to spend several years together as an actual married couple.

Then, due to the municipal re-organization in the Achterhoek, Gendringen and Wisch joined together to Oude IJsselstreek.

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