In 1800 he had published his momentous discovery of infra-red rays; and in 1803 and 1804 his re-examination of double stars would reveal examples where the two components had orbited each other, visual proof that attractive forces...operated outside the solar system. ...between 1811 and 1818 he published four great synthetic papers on the construction of the heavens, in which he expounded the life-story of nebulae and clusters as they developed over time under the influence of gravity. ...Soon, development over time-in contrast to the unchanging clockwork universe of Newton and Leibniz-would become and remain part of astronomical thinking.
William HerschelRelated topics
contrast development double four great nebula outside proof remain solar synthetic thinking under visual newton 1800 heavens starsRelated quotes
The method of successive approximations is often applied to proving existence of solutions to various classes of functional equations; moreover, the proof of convergence of these approximations leans on the fact that the equation under study may be majorised by another equation of a simple kind. Similar proofs may be encountered in the theory of infinitely many simultaneous linear equations and in the theory of integral and differential equations. Consideration of semiordered spaces and operations between them enables us to easily develop a complete theory of such functional equations in abstract form.
Leonid Kantorovich
God has permitted and does permit us to be shaken by adversity. Difficult times lie ahead. We will be greatly tested. We have to take this warning seriously and live spiritually... Many saints would have loved to have lived in our times and have had our chance to struggle for Christ... Our struggle matters because it is not a struggle against an Ali Pasha, or a Hitler and a Mussolini, but a struggle against the devil himself. For this reason, our wages will be heavenly... The saints will become more holy and the vile will become more vile. Yet I feel great consolation inside. This is only a storm; like past storms, it will pass. May the Good God take evil and turn it into good. Amen.
Paisios of Mount Athos
Kepler's achievements in mathematics would alone have been sufficient to win for him enduring fame; he first enunciated clearly the principle of continuity in mathematics, treating the parabola as at once the limiting case of the ellipse and the hyperbola, and showing that parallel lines can be regarded as meeting at infinity; he introduced the word 'focus' into geometry; while in his Stereometria Dolorum, published 1615, he applied the conception to the solution of certain volumes and areas by the use of infinitesimals, thus preparing the way for Desargues, Cavalieri, Barrow, and the developed calculus of Newton and Leibniz.
Johannes Kepler
For his fundamental and continuing contributions to the theory and practice of database management systems. He originated the relational approach to database management in a series of research papers published commencing in 1970. His paper "A Relational Model of Data for Large Shared Data Banks" was a seminal paper, in a continuing and carefully developed series of papers. Dr. Codd built upon this space and in doing so has provided the impetus for widespread research into numerous related areas, including database languages, query subsystems, database semantics, locking and recovery, and inferential subsystems.
E. F. Codd
Dark matter is what my research team is looking for. No one knows what it is. There's more stuff out there in the universe than we can see, that's the point. We can see the stars and the galaxies and the things that shine, but for it all to hang together and not fly apart, there needs to be a lot more of it - to make gravity work, you see. But no one can detect it. So there are lots of different research projects trying to find out what it is, and this is one of them. ... We think it's some kind of elementary particle. Something quite different from anything discovered so far. But the particles are very hard to detect.
Philip Pullman