“Whew, this might be getting a bit confusing. I hope you are following me so far. This is the point in every Theory of Computation course at which students either throw up their hands and say "I can't get my mind around this stuff!" or clap their hands and say "I love this stuff!"
Needless to say, I was the second kind of student, even though I shared the confusion of the first.”
― quote from Complexity: A Guided Tour
“This statement is not provable.” Think about it for a minute. It’s a strange statement, since it talks about itself—in fact, it asserts that it is not provable. Let’s call this statement “Statement A.” Now, suppose Statement A could indeed be proved. But then it would be false (since it states that it cannot be proved). That would mean a false statement could be proved—arithmetic would be inconsistent. Okay, let’s assume the opposite, that Statement A cannot be proved. That would mean that Statement A is true (because it asserts that it cannot be proved), but then there is a true statement that cannot be proved—arithmetic would be incomplete. Ergo, arithmetic is either inconsistent or incomplete.”
― quote from Complexity: A Guided Tour
“complex system: a system in which large networks of components with no central control and simple rules of operation give rise to complex collective behavior, sophisticated information processing, and adaptation via learning or evolution.”
― quote from Complexity: A Guided Tour
“Linearity is a reductionist’s dream, and nonlinearity can sometimes be a reductionist’s nightmare. Understanding the distinction between linearity and nonlinearity is very important and worthwhile. To”
― quote from Complexity: A Guided Tour
“As the nineteenth-century philosopher Henry David Thoreau put it, “All perception of truth is the detection of an analogy.”
― quote from Complexity: A Guided Tour
“In short, what Brown, Enquist, and West are saying is that evolution structured our circulatory systems as fractal networks to approximate a “fourth dimension” so as to make our metabolisms more efficient. As West, Brown, and Enquist put it, “Although living things occupy a three-dimensional space, their internal physiology and anatomy operate as if they were four-dimensional … Fractal geometry has literally given life an added dimension.”
― quote from Complexity: A Guided Tour
“Turing’s first goal was to make very concrete this notion of definite procedure. The idea is that, given a particular problem to solve, you can construct a definite procedure for solving it by designing a Turing machine that solves it. Turing machines were put forth as the definition of “definite procedure,” hitherto a vague and ill-defined notion.”
― quote from Complexity: A Guided Tour
“idea models—models that are simple enough to study via mathematics or computers but that nonetheless capture fundamental properties of natural complex systems.”
― quote from Complexity: A Guided Tour
“Tony Rothman points out, “Why the second law should distinguish between past and future while all the other laws of nature do not is perhaps the greatest mystery in physics.”
― quote from Complexity: A Guided Tour
“Information, as narrowly defined by Shannon, concerns the predictability of a message source. In the real world, however, information is something that is analyzed for meaning, that is remembered and combined with other information, and that produces results or actions. In short, information is processed via computation.”
― quote from Complexity: A Guided Tour
“reached. In dynamical systems theory, each of these abrupt period doublings is called a bifurcation. This succession of bifurcations culminating in chaos has been called the “period doubling route”
― quote from Complexity: A Guided Tour
“A man captivated by wiles was only captivated for a time, whereas a man won by simplicity would be won forever - if he, himself, were worth the winning.”
― Anthony Trollope, quote from The Eustace Diamonds
“Don’t be a sore loser.’
‘It’s hard to argue with a woman when she’s got her knee on my ego.’
‘Good. Now I’m going to have my way with you.’
‘Are you?’
‘Damn right. I won.’ She cocked her head and reached down to strip off his shirt. ‘Cooperate and I won’t have to hurt you. Uh-uh.’ When he reached for her, she gripped his hands and pushed them back to the mat. ‘I’m in charge here. Don’t make me get out the cuffs.’
‘Hmm. An interesting threat. Why don’t you—’ His words trailed off as her mouth came down on his, hard and hot. Instinctively, his hands flexed under hers, wanting to touch, to take. But he understood she wanted something else, something more. So he would let her find it.
‘I’m going to take you.’ She bit down on his lip, sending an edge of lust razoring through his gut. ‘Do whatever I want to you.’
His mind was already spinning, his breath clogging. ‘Be gentle with me,’ he managed, and felt warmth twine with the heat when she laughed.
‘Dream on.”
― J.D. Robb, quote from Immortal in Death
“Whoever said that love hurts was wrong. Love is excruciating, especially when you can feel it slipping through your fingers and there is nothing you can do about it.”
― Julie Hockley, quote from Crow's Row
“I love you, Francesca,” Gabriel told her solemnly. “I cannot express in words what you are to me.”
She smiled up at him. “You do a fairly good job expressing yourself.”
His eyebrow shot up. “Fairly good?”
“I think your ego is already far too large. I am not about to call you the greatest lover in the world.”
His hand cupped her soft breast, his thumb stroking small caresses over her taut nipple. “But you would if it were not for fear of my ego?”
― Christine Feehan, quote from Dark Legend
“I did, however, manage to do it without hurting those dogs. Very considerate of me. Don't let it be said I'm not an animal lover-that wretched kitsune aside.”
― Richelle Mead, quote from Shadow Heir
The Hate U Give
The Siege of Macinda...
The Archived
The Bloody Chamber a...
The Secret Hour
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