Side-by-side Quotes
There was never a time when the world began, because it goes round and round like a circle, and there is no place on a circle where it begins. Look at my watch, which tells the time; it goes round, and so the world repeats itself again and again. But just as the hour-hand of the watch goes up to twelve and down to six, so, too, there is day and night, waking and sleeping, living and dying, summer and winter. You can't have any one of these without the other, because you wouldn't be able to know what black is unless you had seen it side-by-side with white, or white unless side-by-side with black.
Alan Watts
Europe's experiment with multiculturalism, or the side-by-side existence of different cultures, has failed throughout the continent. Integration requires a minimum basis of shared values, that is, a culture of mutual tolerance and respect - in other words, what constitutes the heart of European culture.
Walter Kasper
A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this 'variance equation' completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or non-stationary statistics.
The variance equation is closely related to the Hamiltonian (canonical) differential equations of the calculus of variations. Analytic solutions are available in some cases. The significance of the variance equation is illustrated by examples which duplicate, simplify, or extend earlier results in this field.
The duality principle relating stochastic estimation and deterministic control problems plays an important role in the proof of theoretical results. In several examples, the estimation problem and its dual are discussed side-by-side.
Properties of the variance equation are of great interest in the theory of adaptive systems. Some aspects of this are considered briefly.
Rudolf E. Kálmán
Black propaganda and negative politics do not and will not work here or elsewhere, simply because of one thing - it is based on a lie. As Rex Gatchalian, spokesperson of Senator Grace Poe said earlier, "The recent story being circulated that Senator Chiz had abandoned Senator Grace is baseless and barefaced lie. If the people behind this story plan to drive a wedge between the two candidates, they should stop wasting their time as the two candidates continue to fight the battle together, side-by-side. The Poe-Escudero tandem remains strong despite all the black propaganda hurled against them. It's disgusting that certain groups continue to destroy our candidates - first individually and now as a tandem."
Francis Escudero
The Chinese people have always cherished goodwill towards the American people. In 1784, U.S. merchant ship, Empress of China, sailed to China, opening the friendly exchanges between our two peoples. In mid 19th century, several dozen thousand Chinese workers, working side-by-side with American workers and braving harsh conditions, built the great railway linking the East and the West of the American continent.
Hu Jintao
