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 we have informed a large number of our crew that when they reach the United States, they will be punished but that in the meanwhile, they may run loose and are expected to perform their jobs in good order.

Then the king came to the Haye in Touraine and his men had passed the river of Loire, some at the bridge of Orléans and some at Meung, at Saumur, at Blois, and at Tours and whereas they might: they were in number a twenty thousand men of arms beside other ; there were a twenty-six dukes and earls ( Counts ) and more than sixscore banners, and the four sons of the king, who were but young, the duke Charles of Normandy, the lord Louis, that was from thenceforth duke of Anjou, and the lord John duke of Berry, and the lord Philip, who was after duke of Burgoyne ".

Then, in the presence of a large number of foreign journalists, the body of Pasternak was removed to the cemetery.

Then the lists are compared atom by atom ; at the earliest difference, the group containing the atom of higher atomic number receives higher priority.

Then you multiply by the lifetime to get the expected number.

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 the number 50 is placed on the stack.

It is frequently stated in the following equivalent form: Suppose that is continuous and that u is a real number satisfying or Then for some c ∈ b, f ( c ) = u.

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, as the number of users increases, the system becomes even more valuable and is able to attract a wider user base.

Then the expected number of i type organisms produced by any j type parent is,

Then the total number of i-type organisms after the first round of reproduction, given as, is

Then x is a rational number greater than 0 and less than r < sub > 0 </ sub >.

Then there is a number to show how many athletes are in the boat ( 1, 2, 4 or 8 ).

Then the players roll randomly for a certain number of defects, character age, and characteristics.

Then it was pointed out that " seeing the most submarines " depended not only on the number of submarines present, but also on the number of eyes looking ; i. e., patrol density.

Then a series of explosive asteroids take the planet's shield down, and a number of nasties ( actually, Gith's employees ) invade the planet.

Then the estimated number

In 1986, a screening of the entire Monkees television series by MTV led to renewed interest in the group, followed by a single (" That Was Then, This Is Now " reached number 20 on the Billboard Hot 100 in the U. S .), a 20th Anniversary Tour, a greatest hits album and a brand new LP, Pool It!

Then the number of particles passing perpendicularly through unit area of a cross-section per unit time is the probability flux ;

Then the random number of successes we have seen, X, will have the negative binomial ( or Pascal ) distribution:

Then in 2 we show that any line involution with the properties that ( A ) It has no complex of invariant lines, and ( B ) Its singular lines form a complex consisting exclusively of the lines which meet a twisted curve, is necessarily of the type discussed in 1.

Then, in the fifth, Anniston's kid catcher caught onto a curve and smacked the ball into left center field.

Then, in the late 1960s and early 1970s, Vera Rubin, a young astronomer at the Department of Terrestrial Magnetism at the Carnegie Institution of Washington, presented findings based on a new sensitive spectrograph that could measure the velocity curve of edge-on spiral galaxies to a greater degree of accuracy than had ever before been achieved.

Then a curve is a continuous mapping, where is a topological space.

Then, to " fatten up " the outside radius of the bend, one or both arms of the bend would need to be pushed back to fill the outer radius of the curve.

The other class of Dedekind rings which is arguably of equal importance comes from geometry: let C be a nonsingular geometrically integral affine algebraic curve over a field k. Then the coordinate ring k of regular functions on C is a Dedekind domain.

Then, combined with the wage Phillips curve 1 and the assumption made above about the trend behavior of money wages 2, this price-inflation equation gives us a simple expectations-augmented price Phillips curve:

Then the twisted Edwards curve is given by

The curve ( i. e. the curve combining with in reverse ) is a closed piecewise C < sup > 1 </ sup > curve in D. Then,

Then the curve has Cartesian equation

Then p < sub > t </ sub > supplies a notion of transport of the model space along the curve.

Then TA is defined to be the subtangent at P. Similarly, if normal to the curve at P intersects the x-axis at N then AN is called the subnormal.

Then OT and ON are, respectively, called the polar subtangent and polar subnormal of the curve at P.

Then g has a transcendental branch point if z < sub > 0 </ sub > is an essential singularity of g such that analytic continuation of a function element once around some simple closed curve surrounding the point z < sub > 0 </ sub > produces a different function element.

Indeed, let K be an imaginary quadratic field with class field H. Let E be an elliptic curve with complex multiplication by the integers of K, defined over H. Then the maximal abelian extension of K is generated by the x-coordinates of the points of finite order on some Weierstrass model for E over H.

Then the stamens curve themselves and spread away from the carpels at the center of the flower, so self-pollination is rather difficult.

Suppose that c is a simple closed curve in a closed, orientable surface S. Let A be a tubular neighborhood of c. Then A is an annulus and so is homeomorphic to the Cartesian product of

Then f is a Dehn twist about the curve c.

Then the midpoint P of ST describes the curve.

Then Gammoudi pushed them both and surged into the lead as they rounded the final curve.

Suppose that the curve γ is parameterized with respect to its arclength s. Then the arclength along the evolute E from s < sub > 1 </ sub > to s < sub > 2 </ sub > is given by