Sequence And Series Quotes & Sayings

All revolutionary advances in science may consist less of sudden and dramatic revelations than a series of transformations, of which the revolutionary significance may not be seen (except afterwards, by historians) until the last great step. In many cases the full potentiality and force of a most radical step in such a sequence of transformations may not even be manifest to its author. — I. Bernard Cohen

The Engineer smiled (internally, for of course it had no mouth). It was feeling good. It was feeling optimistic. Moving at its current speed, it would arrive back in Ireland in plenty of time to shut everything down before a series of overloads and power loops inevitably led to a sequence of events which would, in turn, eventually lead to the probable destruction of the world. The Engineer wasn't worried.
And then the truck hit it. — Derek Landy

How obvious, now, was that mathematical ratio of its sides, the quadratic sequence 1:4:9! And how naive to have imagined that the series ended there, in only three dimensions! — Arthur C. Clarke

learn the lessons before they are over. Life is a composition of series and sequence of lessons. Each lesson comes with its own lessons to learn. our failure to learn the lessons of one shall be the reasons to learn another lesson with similar lessons. — Ernest Agyemang Yeboah

What do people think of when they talk about their lives? Do they really see them as an integral whole, as a chronological sequence of events; as something logical, purposeful, completed? What moments do they remember, and how do they remember them? As words? As a series of images and sounds? My life crumbles into a series of pictures, unconnected scenes which comes to mind only occassionally and at random. But there are key events, the acts of chance or fate, which later enable me to construct a logical whole of my life. One such moment was meeting Jose. The other was my decision to see our love through to the very end. — Slavenka Drakulic

Moving lockstep through a series of predictable transitions is no longer a route to personal security. Each man and woman must put together a highly individualized sequence of transitions in and out of school, work, and marriage in order to take advantage of shifting opportunities and respond to unexpected setbacks--a "do-it-yourself biolography. — Stephanie Coontz

I did 'Echo Beach,' a surfing drama that meant I was often topless. Next came 'Demons,' and the opening sequence had me in my boxer shorts; and then there was a scene in 'Trinity' with me walking around in boxer shorts. It was only one scene in each series. — Christian Cooke

This special was followed one month later by "Bart the Genius." This was the first genuine episode of The Simpsons , inasmuch as it premiered the famous trademark opening sequence and included the debut of Bart's notorious catchphrase "Eat my shorts." Most noteworthy of all, "Bart the Genius" contains a serious dose of mathematics. In many ways, this episode set the tone for what was to follow over the next two decades, namely a relentless series of numerical references and nods to geometry that would earn The Simpsons a special place in the hearts of mathematicians. — Simon Singh

The calamities of tragedy do not simply happen, nor are they sent; they proceed mainly from actions, and those the actions of men.We see a number of human beings placed in certain circumstances; and we see, arising from the co-operation of their characters in these circumstances, certain actions. These actions beget others, and these others beget others again, until this series of inter-connected deeds leads by an apparently inevitable sequence to a catastrophe. — A. C. Bradley

I thought that you would be frozen in awe when you found the sequence, when you heard a bird's song repeating my Morse code, my cry for help, my S.O.S, when you saw the same numbers in the petals of a flower and the structure of a pine cone, when you saw with your own eyes the interconnectedness of all things.
But I was wrong.
You searched for a male god, a creator, an intelligent designer, or you banished the beauty and mystery of the world beneath the cold concrete grave of closed-eye skepticism. The few of you who could still hear my music felt tortured and misunderstood; you reached out for any conspiracy theory large enough to explain your alienated despair, your sense that the Earth was dying and no one cared.
But listen to me -- you are not alone. Run your fingers through the grass and grab it in your fists, feel my pulse echoing through your blood. You. Are. Not. Alone. And I -- I am not dead yet. — Sarah Warden

One needs but to say that, in the case of an unfamiliar sequence of syllables, only about seven can be grasped in one act, but that with frequent repetition and gradually increasing familiarity with the series this capacity of consciousness may be increased. — Hermann Ebbinghaus

Prime numbers are divisible only by 1 and by themselves. They hold their place in the infinite series of natural numbers, squashed, like all numbers, between two others, but one step further than the rest. They are suspicious, solitary numbers, which is why Mattia thought they were wonderful. Sometimes he thought that they had ended up in that sequence by mistake, that they'd been trapped, like pearls strung on a necklace. Other times he suspected that they too would have preferred to be like all others, just ordinary numbers, but for some reason they couldn't do it. This second thought struck him mostly at night, in the chaotic interweaving of images that comes before sleep, when the mind is too weak to tell itself lies. — Paolo Giordano

The conclusion that the Egyptians of the Old Kingdom were acquainted with both the Fibonacci series and the Golden Section, says Stecchini, is so startling in relation to current assumptions about the level of Egyptian mathematics that it could hardly have been accepted on the basis of Herodotus' statement alone, or on the fact that the phi [golden] proportion happens to be incorporated in the Great Pyramid.

But the many measurements made by Professor Jean Philippe Lauer, says Stecchini, definitely prove the occurrence of the Golden Section throughout the architecture of the Old Kingdom.... Schwaller de Lubicz also found graphic evidence that the pharonic Egyptians had worked out a direct relation between pi and phi in that pi = phi^2 x 6/5. — Peter Tompkins

A plot, I used to remind my students, is not merely a sequence of events: "A" followed by "B" followed by "C" followed by "D." Rather, it's a series of events linked by cause and effect: "A" causes "B," which causes "C," and so on. True, a person's (or a fictional character's) destiny may be more than the sum of his choices
fate and luck play a role as well
but only scientists (and not all of them) believe that free will is a sham. People in life
and therefore in fiction
must choose, and their choices must have meaningful consequences. Otherwise, there's no story. — Richard Russo

Petrie found nothing that disproved the pyramidologist's assumption that the Great Pyramid had been built according to a master plan. Indeed, he describes the Pyramid's architecture as being filled with extraordinary mathematical harmonies and concordances: those same strange symmetries that had so haunted the pyramidologist.

Petrie not only noted, for example, that the proportions of the reconstructed pyramid approximated to pi - which others have since elaborated to include those twin delights of Renaissance and pyramidological mathematicians, the Golden Section and the Fibonacci Series ... — John Romer