Convergence 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)
Style of the future is the convergence of function and fashion. View quote
Vanna Bonta
Power, no matter how well-intentioned, tends to cause suffering. Love, being vulnerable, absorbs it. In a point of convergence on a hill called Calvary, God renounced the one for the sake of the other. View quote
Philip Yancey
Yet, Puerto Rico's economic convergence and political integration with the rest of the nation is in a state of arrest - even though the island has been within the national borders, political system and customs territory of the U.S. for a century. View quote
Dick Thornburgh
I was a very early believer in the idea of convergence. View quote
Jean-Marie Messier
The convergence of the Rhone and Saone. Paul Bocuse. The birthplace of cinema. Chateauneuf-du-Pape just a few miles down the road. It does not get much better than Lyon. View quote
Leonard Slatkin
Nobody should have to be a systems integrator to make a convergence network work in their home. View quote
Steve Case
Seriously, we are in the midst of the convergence of voice and data and that is challenging the infrastructure of the telephone companies. There are huge commercial interests in the basic technology, but even more so in content delivery and control of content. View quote
Steve Crocker
The first condition of unity is a subjective principle; and this principle in the Positive system is the subordination of the intellect to the heart: Without this the unity that we seek can never be placed on a permanent basis, whether individually or collectively. It is essential to have some influence sufficiently powerful to produce convergence amid the heterogeneous and often antagonistic tendencies of so complex an organism as ours. View quote
Auguste Comte
The world is being re-shaped by the convergence of social, mobile, cloud, big data, community and other powerful forces. The combination of these technologies unlocks an incredible opportunity to connect everything together in a new way and is dramatically transforming the way we live and work. View quote
Marc Benioff
In the last two decades we have witnessed the emergence of the "system" as a key concept in scientific research. Systems, of course, have been studied for centuries, but something new has been added... The tendency to study systems as an entity rather than as a conglomeration of parts is consistent with the tendency in contemporary science no longer to isolate phenomena in narrowly confined contexts, but rather to open interactions for examination and to examine larger and larger slices of nature. Under the banner of systems research (and its many synonyms) we have also witnessed a convergence of many more specialized contemporary scientific developments... These research pursuits and many others are being interwoven into a cooperative research effort involving an ever-widening spectrum of scientific and engineering disciplines. We are participating in what is probably the most comprehensive effort to attain a synthesis of scientific knowledge yet made. (Russell L. Ackoff)
Independent derivation meshed beautifully with the triumph, from the 1930's on, of a strict version of Darwinism based on the near ubiquity of adaptive design built by natural selection... Arthropods and vertebrates do share several features of functional design. But those similarities only reflect the power of natural selection to craft optimal structures independently in a world of limited biomechanical solutions to common functional problems - an evolutionary phenomenon called convergence. View quote
Stephen Jay Gould
Many similarities of basic design among animal phyla, once so confidently attributed to convergence, and viewed as testimony to the power of natural selection to craft exquisite adaptation, demand the opposite interpretation that Mayr labeled as inconceivable: the similar features are homologies, or products of the same genes, inherited from a common ancestor and never altered enough by subsequent evolution to erase their comparable structure and function. The similarities record the constraining power of conserved history, not the architectural skills of natural selection independently pursuing an optimal design in separate lineages. Vertebrates are, in a certain sense, true brothers (or homologs) - not mere analogs - of worms and insects. View quote
Stephen Jay Gould
Questions of convergence under an infinite time horizon will depend so much on epsilontic refinements in the system of assumptions - and on the infinite constancy of these refinements - that we are humanly speaking absolutely certain of getting infinite time horizon results which have no relevance to concrete reality. And in particular we are absolutely certain of getting irrelevant results if such epsilontic exercises are made under the assumption of a constant technology. 'In the long run we are all dead.' These words by Keynes ought to be engraved in marble and put on the desk of all epsilontologists, in growth theory under an infinite horizon. View quote
Ragnar Frisch
Above all I feel that you must resign yourself to taking me as I am, that is, with the congenital quality (or weakness) which ever since my childhood has caused my spiritual life to be completely dominated by a sort of profound 'feeling' for the organic realness of the World. At first it was an ill-defined feeling in my mind and heart, but as the years have gone by it has gradually become a precise, compelling sense of the Universe's general convergence upon itself; a convergence which coincides with, and culminates at its zenith in, him in quo omina constant, and whom the Society has taught me to love. View quote
Pierre Teilhard de Chardin
The rules followed are tight enough to produce a broad overlap in the decisions taken by all individuals and hence a convergence powerful enough to be labelled human nature. View quote
E. O. Wilson
The move from a structuralist account in which capital is understood to structure social relations in relatively homologous ways to a view of hegemony in which power relations are subject to repetition, convergence, and rearticulation brought the question of temporality into the thinking of structure, and marked a shift from a form of Althusserian theory that takes structural totalities as theoretical objects to one in which the insights into the contingent possibility of structure inaugurate a renewed conception of hegemony as bound up with the contingent sites and strategies of the rearticulation of power. View quote
Judith Butler
I believe...all the enduring institutions which human societies have attained have been reached, not of the set design and forethought of some group of statesmen, but by that unbidden and unconscious convergence of many thoughts and wills in successive generations to which, as it obeys no single guiding hand, we may give the name of "drifting." View quote
Robert Gascoyne-Cecil, 3rd Marquess of Salisbury
The underlying reason for convergence seems to be that all organisms are under constant scrutiny of natural selection and are also subject to the constraints of the physical and chemical factors that severely limit the action of all inhabitants of the biosphere. Put simply, convergence shows that in a real world not all things are possible. View quote
Simon Conway Morris
We got into telecom in the '90s by bidding for cellular licences. But I felt that the real value is in the convergence of information and communication; pure communication will not deliver a sustainable value; that is why we called ourselves infocomm. It was learning a whole new domain. We brought in experts from the outside but we essentially did it with proven Reliance people. View quote
Mukesh Ambani
Moral globalisation is best understood not as a tide of convergence in which we are swept together into a single modernity, but instead as a site of struggle over whether, and to what extent, the cash nexus can be made to serve moral imperatives of equity and justice and which civilisational model – Chinese, American, or some other rival's – will define the order of the twenty-first century. (Michael Ignatieff)
The system becomes more coherent as it is further extended. The elements which we require for explaining a new class of facts are already contained in our system. Different members of the theory run together, and we have thus a constant convergence to unity. In false theories, the contrary is the case. View quote
William Whewell
The regime's response to [U. N. ] Security Council Resolution 1696 was predictable, as it was simply a variation of double talk-a tactic they have now mastered to an art form. What does the regime's offer to "seriously talk" really mean? Will it seriously discuss its violations of human rights at home? Will it seriously discuss its patronage of regional militancy? I think not. [This] is a race against time. Will it get the bomb first, thereby bullying the world into appeasement, or will there be an actual convergence of domestic and international pressures [on the regime]? View quote
Reza Pahlavi
The perfect disciplinary apparatus would make it possible for a single haze to see everything constantly. A central point would be both the source of light illuminating everything, and a locus of convergence for everything that must be known: a perfect eye that nothing would escape and a centre towards which all gazes would be turned. View quote
Michel Foucault
No small hole can so modify the convergence of rays of light as to prevent, at a long distance, the transmission of the true form of the luminous body causing them. View quote
Leonardo da Vinci