Intersection Quotes - page 2
Now, one of the things that makes this region so interesting is its diversity. That diversity creates a unique intersection of humanity -- people from so many ethnic groups and backgrounds and religious and political beliefs. I gives Malaysia, as one primary example, the chance to prove -- as America constantly tries to prove -- that nations are stronger and more successful when they work to uphold the civil rights and political rights and human rights of all their citizens.
Barack Obama
A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Lotfi A. Zadeh
The sequence of different positions of the same particle at different times forms a one-dimensional continuum in the four-dimensional space-time, which is called the world-line of the particle. All that physical experiments or observations can teach us refers to intersections of world-lines of different material particles, light-pulsations, etc., and how the course of the world-line is between these points of intersection is entirely irrelevant and outside the domain of physics. The system of intersecting world-lines can thus be twisted about at will, so long as no points of intersection are destroyed or created, and their order is not changed. It follows that the equations expressing the physical laws must be invariant for arbitrary transformations.
Willem de Sitter
Menæchmus, a pupil of Eudoxus, and a contemporary of Plato, found the two mean proportionals by means of conic sections, in two ways, (α) by the intersection of two parabolas, the equations of which in Cartesian co-ordinates would be x2=ay, y2=bx, and (β) by the intersection of a parabola and a rectangular hyperbola, the corresponding equations being x2=ay, and xy=ab respectively. It would appear that it was in the effort to solve this problem that Menæchmus discovered the conic sections, which are called, in an epigram by Eratosthenes, "the triads of Menæchmus."
Thomas Little Heath
Archytas of Tarentum found the two mean proportionals by a very striking construction in three dimensions, which shows that solid geometry, in the hands of Archytas at least, was already well advanced. The construction was usually called mechanical, which it no doubt was in form, though in reality it was in the highest degree theoretical. It consisted in determining a point in space as the intersection of three surfaces: (a) a cylinder, (b) a cone, (c) an "anchor-ring" with internal radius = 0.
Thomas Little Heath
Life is short, youth is finite, and opportunities endless. Have you found the intersection of your passion and the potential for world-shaping positive impact? If you don't have a great idea of your own, there are plenty of great teams that need you - unknown startups and established teams in giant companies alike.
Justin Rosenstein
Publicy says that each self exists in a particular social context, and all such contracts are independent. (...) It's as if we are gaining the ability to see into the ultraviolet and infrared ends of the social spectrum when we are online, and in some contexts we are dropping out yellows or reds. To those tied to the visible color spectrum we are habituated to, this new sort of vision will be 'irreal.' But ultraviolet has always existed: we just couldn't see it before. (...) This will be a fracturing of the premises of privacy, and a slow rejection of the metaphors of shared space. The principles of publicy are derived from the intersection of infinite publics and our shared experience of time online, through media like Facebook, Twitter and Tumblr. The innate capability we have to shift in a heartbeat from a given public, and our corresponding persona, to another, is now being accelerated by streaming social tools. This will be the decade when publicy displaces privacy, online and off.
Stowe Boyd
A niche is created by the intersection of resource constraints- an abstract resource space consisting of a unique combination of resources (information, access to materials, customers, and so on) that could permit a form to survive there. Forms thus either take advantage of a niche resource space" or fail.
Howard E. Aldrich