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, 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 there exists a finite set of integer coefficients satisfying the equation:

Then the interpolating polynomial is formed as above using the topmost entries in each column as coefficients.

Then every Hodge class on X is a linear combination with rational coefficients of the cohomology classes of complex subvarieties of X.

Then every cohomology class in H < sup > 2k </ sup >( X, Z ) ∩ H < sup > k, k </ sup >( X ) is the cohomology class of an algebraic cycle with integral coefficients on X.

Then every non-torsion cohomology class in H < sup > 2k </ sup >( X, Z ) ∩ H < sup > k, k </ sup >( X ) is the cohomology class of an algebraic cycle with integral coefficients on X.

Then every Hodge class on X is a linear combination with rational coefficients of the cohomology classes of complex subvarieties of X.

Then every Hodge class on X is a linear combination with rational coefficients of Chern classes of vector bundles on X.

Then every Hodge class on X is a linear combination with rational coefficients of Chern classes of coherent sheaves on X.

Then, for all coefficients λ + ( 1 − λ ) =

Then, since there are no powers of x on the left, all of the coefficients on the right must be zero, from which it follows that

For example, let P be an irreducible polynomial with integer coefficients and p be a prime number which does not divides the leading coefficient of P. Let Q be the polynomial over the finite field with p elements, which is obtained by reducing modulo p the coefficients of P. Then, if Q is separable ( which is the case for every p but a finite number ) then the degrees of the irreducible factors of Q are the lengths of the cycles of some permutation of the Galois group of P.

Then, the coefficients of the function approximations are treated as optimization variables and the problem is " transcribed " to a nonlinear optimization problem of the form:

More precisely, let F be a field, and let F be the ring of polynomials in one variable, X, with coefficients in F. Then each f < sub > i </ sub > lies in F. ∂< sub > X </ sub > is the derivative with respect to X.

Then, instead of driving toward objectives or impeding anomalies, she or he works on the metasystem, rules, potential coefficients, categorizations, information architectures, etc.

Then the GKW operator acts on the Taylor coefficients as

Then comparing the coefficients:

Then, mechanisms that provide selection, generate variation and establish self-replication, must be identified.

Then upon activation by ActA or VCA, the Arp complex is believed to undergo a major conformational change, bringing its two actin-related protein subunits near enough to each other to generate a new filament gate.

Then it is the job of the compiler to generate a CPU-specific executable.

# Then decide the input connections of OR matrix to generate the sum terms.

Then the basis functions which have no t in them generate.

Then, we generate a random number for each of n trials and use a logical test to classify the virtual measure or observation in one of the categories.

Then, experience is commonly used to generate possible causes of the symptoms.

Then unique advertisements, sometimes with completely different messages, would be delivered to specific demographic regions in order to generate support for their respective presidential candidate.

Then our covariant differential constraint on shows how variations in the trace of the stress-energy tensor in our spacetime model can generate a nonzero trace-free Ricci tensor, and thus nonzero semi-traceless curvature, which can propagate into a vacuum region.

Then M and e < sub > N </ sub > generate a new von Neumann algebra < M, e < sub > N </ sub >> acting on L < sup > 2 </ sup >( M ), containing M as a subfactor.