Convex Quotes

In a way, you'd say my life is a convex combination of English and mathematics. ... And not only that, I want my kids to be that way: use left brain, right brain at the same time – you got a lot more done. That was part of the bargain. (Donald Knuth)
Colour is the place where our brain and the universe meet. That's why colour appears so entirely dramatic, to true painters. Look at Sainte-Victoire there [the hill, which Cézanne painted again and again] How it soars, how imperiously it thirsts for the sun!.. For a long time I was quite unable to paint Sainte-Victoire; I had no idea to go about it because, like others who just look at it, I imagined the shadow to be concave, whereas in fact it's convex, it disperses outward from the center. Instead of accumulating, it evaporates, becomes fluid, bluish, participating in the movements of the surrounding air. Just as over there to the right, on the Pilon du Roi, you can see the contrary effect, the brightness gently rocking to and fro, moist and shimmering. That's the sea.... That's one needs to depict. What one needs to know. That's the bath of experience, so to speak... View quote
Paul Cézanne
Of what use is genius, if the organ is too convex or too concave and cannot find a focal distance within the actual horizon of human life? View quote
Ralph Waldo Emerson
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. View quote
Lotfi A. Zadeh
One of the many importants ideas introduced by Minkowski into the study of convex bodies was that of gauge function. Roughly, the gauge function is the equation of a convex body. Minkowski showed that the gauge function could be defined in a purely geometric way and that it must have certain properties analogous to those possessed by the distance of a point from the origin. He also showed that conversely given any function possessing these properties, there exists a convex body with the given function as its gauge function. View quote
Carl Ludwig Siegel
The mysterious musicality, the organic intermarriage of its forms convex and concave, the high singing phrase of a straight line bordering a plane and its sudden dropping into a scarcely traceable curve, and feel deeply, sharply, the profound peace, the philosophy awakened by the even distribution of light and shade, wandering from one curved plane into a deep clarity of light, enriching a carefully carved stone plane. One will understand at once that those awakened sensation have nothing to do with anatomical considerations, exactitudes observed or not. View quote
Ossip Zadkine
And so I went through the looking glass, stepped into the netherworld, where up is down and food is greed, where convex mirrors cover the walls, where death is honor and flesh is weak. It is ever so easy to go. Harder to find your way back. View quote
Marya Hornbacher
It was only within comparatively recent times that several refinements in Greek architecture... such as the slight entasis of the columns, the greater size of the corner columns, and the convex curve of the stylobate were discovered. View quote
Ernest Flagg
Seated upon the convex mound Of one vast kidney, Jonah prays And sings his canticles and hymns, Making the hollow vault resound Gods goodness and mysterious ways, Till the great fish spouts music as he swims. View quote
Aldous Huxley
The effective inventor of the telescope and compound microscope was Galileo... Galileo's account of the path of the rays through the concave eye-piece and convex objective which he used was not satisfactory and was considerably improved by Kepler, who suggested the use of two convex lenses which became the basis of later instruments. Kepler had already written an important optical treatise in the form of a commentary on Witelo's Perspectiva... His improvements to the telescope may be regarded as what he had learned from the thirteenth-century writer. View quote
Johannes Kepler
For after the rain when with never a stain The pavilion of Heaven is bare, And the winds and sunbeams with their convex gleams Build up the blue dome of air, I silently laugh at my own cenotaph, And out of the caverns of rain, Like a child from the womb, like a ghost from the tomb, I arise and unbuild it again. (Percy Bysshe Shelley)