But they came together, and the sum became greater than the individual parts".
Once the accumulated sum became large enough, a free meal could be redeemed.
For a continuous object intensity distribution this sum becomes an integral.
It is also a ludicrous fiction to imagine that, on voting to leave the EU, this same sum becomes instantly available to be lavished on hospitals and schools.
For a succession of thin lenses (1, 2, 3,…etc). in a system, the Petzval sum becomes simply 1/f1n1 + 1/f2n2 + 1/f3n3 +…etc., in which f is the focal length of each element and n is its refractive index.
Among the total coal production in 2013, the sum of China (47%) with the USA (13%) indicated more than half of the total sum, followed by Australia, Indonesia, India, and Russia, whose production sum became 84% of the total coal production.
In other words, the total sum becomes a step approximation to the integral S ∫ B t dt or rather, the other way around, because the actual billing in this model is based on the step function.
If we write λ = n k + t, then λ takes on all positive integer values which are not multiples of k as n, t run through their respective ranges, and our sum becomes ∑ t = 1 k − 1 Φ ( − t k, a, 1 − s ) = 2 Γ ( s ) k s ( 2 π ) s ∑ λ = 1 ∞ { cos ( π s 2 − 2 π a λ / k ) λ s − cos ( π s 2 − 2 π a λ ) ( k λ ) s }. (4.2).
In the limit as n → ∞, the sum becomes the Riemann sum for the above integral.
This last sum became an object of particular ridicule by Niels Henrik Abel in 1826: Cesàro's teacher, Eugène Charles Catalan, also disparaged divergent series.
As it is customary to express this function as a natural logarithm, the geometric sum becomes a regular arithmetic sum (Σ, across i = 1 to n cases).
