Then, on November 22, 1965, the Staten Island Citizens Planning Committee ( SICPC ), which had begun in 1954 as an ad-hoc committee of the Unitarian Universalist Church of Staten Island, issued the first of many position papers beginning by invoking Olmsted ’ s plea for a linear park ; it concluded by presenting an alternate parkway plan that would spare what has come to be known as the Staten Island Greenbelt, a term proposed by landscape architect, Bradford Greene, one of the group ’ s founding members.

Then acquired estate agency business of Bradford and Bingley Building Society

Then on 16 May 1985, just six days after the Bradford City stadium fire, a third of the old grandstand was destroyed during an early morning blaze.

Then north east along the path marking the edge of Bradford Moor Golf Course to re-join the Outer Ring Road ( Killinghall Road ).

Then the signal is either sampled or processed by the four-quadrant multiplier which produces the complex envelope components ( I, Q ) through multiplying it by the heterodyne frequency.

Then the multiplier operator associated to this symbol m is defined via the formula

Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

Let a, b, and c be elements of G. Then:

Then b < sub > 0 </ sub > is the value of p ( x < sub > 0 </ sub >).

Then the image set f ( I ) is also an interval, and either it contains f ( b ), or it contains f ( a ); that is,

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.

Consider some set P and a binary relation ≤ on P. Then ≤ is a preorder, or quasiorder, if it is reflexive and transitive, i. e., for all a, b and c in P, we have that:

Then, the chance that the first letter typed is ' b ' is 1 / 50, and the chance that the second letter typed is a is also 1 / 50, and so on.

Since they are even, they can be written as x = 2a and y = 2b respectively for integers a and b. Then the sum.

Then there is an exact sequence relating the kernels and cokernels of a, b, and c:

Let vectors and let denote the matrix with elements of a and b. Then the area of the parallelogram generated by a and b is equal to.

Let vectors and let Then the area of the parallelogram generated by a and b is equal to.

Then the area of the parallelogram with vertices at a, b and c is equivalent to the absolute value of the determinant of a matrix built using a, b and c as rows with the last column padded using ones as follows:

Denote the orthocenter of triangle ABC as H, denote the sidelengths as a, b, and c, and denote the circumradius of the triangle as R. Then

Then, if a, a ′, b and b ′ are alternative settings for the detectors,

Suppose a vertex joins three units with spin numbers a, b, and c. Then, these requirements are stated as:

Then A is an algebra over K if the following identities hold for any three elements x, y, and z of A, and all elements (" scalars ") a and b of K:

Since they are even, they can be written as x = 2a and y = 2b respectively for integers a and b. Then the sum.

g < sub > 1 </ sub >( x ), a ≤ x ≤ b. Then

g < sub > 2 </ sub >( x ), a ≤ x ≤ b. Then

Then, for some positive integers m and n, a < sup > n </ sup > and b < sup > m </ sup > are in I.

Then the element c = ba is nilpotent ( if non-zero ) as c < sup > 2 </ sup > = ( ba )< sup > 2 </ sup > = b ( ab ) a = 0.

Then the energy of the vacuum is exactly E < sub > 0 </ sub >.

Then, p < sup > 2 </ sup > is the fraction of the population homozygous for the first allele, 2pq is the fraction of heterozygotes, and q < sup > 2 </ sup > is the fraction homozygous for the alternative allele.

) Then X < sub > i </ sub > is the value ( or realization ) produced by a given run of the process at time i. Suppose that the process is further known to have defined values for mean μ < sub > i </ sub > and variance σ < sub > i </ sub >< sup > 2 </ sup > for all times i. Then the definition of the autocorrelation between times s and t is

Then X is reflexive if and only if each X < sub > j </ sub > is reflexive.

Then the cotangent space at x is defined as the dual space of T < sub > x </ sub > M:

Then I < sub > x </ sub > and I < sub > x </ sub >< sup > 2 </ sup > are real vector spaces and the cotangent space is defined as the quotient space T < sub > x </ sub >< sup >*</ sup > M = I < sub > x </ sub > / I < sub > x </ sub >< sup > 2 </ sup >.

Then the complex derivative of ƒ at a point z < sub > 0 </ sub > is defined by

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

Then, for any given sequence of integers a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > k </ sub >, there exists an integer x solving the following system of simultaneous congruences.

Then the overall runtime is O ( n < sup > 2 </ sup >).

Then the Cartesian product set D < sub > 1 </ sub > D < sub > 2 </ sub > can be made into a directed set by defining ( n < sub > 1 </ sub >, n < sub > 2 </ sub >) ≤ ( m < sub > 1 </ sub >, m < sub > 2 </ sub >) if and only if n < sub > 1 </ sub > ≤ m < sub > 1 </ sub > and n < sub > 2 </ sub > ≤ m < sub > 2 </ sub >.

Then one need only check the records in each bucket T against those in buckets T where k ranges between − m and m.

* Let the index set I of an inverse system ( X < sub > i </ sub >, f < sub > ij </ sub >) have a greatest element m. Then the natural projection π < sub > m </ sub >: X → X < sub > m </ sub > is an isomorphism.

We wish to maximize total value subject to the constraint that total weight is less than or equal to W. Then for each w ≤ W, define m to be the maximum value that can be attained with total weight less than or equal to w. m then is the solution to the problem.

Then, in the 9th century BC, Dorians founded the main Hellenic city-on Mesa Vouno, 396 m above sea level.

Then, at 5: 13 a. m. April 18, 1906, the earthquake hits and then the fires erupt.

Then for arbitrary ε > 0 there is an embedding ( or immersion ) ƒ < sub > ε </ sub >: M < sup > m </ sup > → R < sup > n </ sup > which is

Let Then is called not included in the fuzzy set if is called fully included if and is called a fuzzy member if < math > 0 < m ( x ) < 1 .</ math >

The Japanese repelled them, but they attacked again around 5: 00 p. m. Then, according to Major-General Iinuma's war journal, " a free-for-all ensued.

Then, she tied the 100 m world record, but this was never recognised officially, as she competed against men when setting the record.

Then to the Reschen Pass the main chain is ill-defined, though on it rises the Corno di Campo ( 3, 305 m ), beyond which it runs slightly north-east past the sources of the Adda and the Fraele Pass, sinks to form the depression of the Ofen Pass, soon heads north and rises once more in the Piz Sesvenna ( 3, 204 m ).

Then a general invitation was given to all who desired to partake, which many did until the keg was emptied … In the evening they reassembled, burning Prof. Humiston in effigy about 10 p. m.

Then, to prove ( 2 ), assume that m and p are injective and l is surjective.

Then, the B < sub > m </ sub > make up a neighbourhood basis of 0 in K.

Then a will be a root of the formal derivative P ’, with multiplicity m − 1.

* " Then I'll Be Tired Of You " w. E. Y. Harburg m. Arthur Schwartz