Example That Is Exponential Function Quotes

Although humans have existed on this planet for perhaps 2 million years, the rapid climb to modern civilization within the last 200 years was possible due to the fact that the growth of scientific knowledge is exponential; that is, its rate of expansion is proportional to how much is already known. The more we know, the faster we can know more. For example, we have amassed more knowledge since World War II than all the knowledge amassed in our 2-million-year evolution on this planet. In fact, the amount of knowledge that our scientists gain doubles approximately every 10 to 20 years. ~ Michio Kaku

If we [Americans] are a strong people, a united people, why do we always have to hear how great we are? What is this self-love? Where does this come from? It got worse, because after the war we thought we'd won it. That's the first myth. Frankly, Russia won it. The Soviet Union sacrificed far greater form than anyone else to win that war. Secondly, we had the atomic bomb. We should not have dropped it on Japan. We did as an example to the Soviets, not to defeat Japan and to save American lives. These are myths that we explode with a lot of research early on. ~ Oliver Stone

Why should we take care to maintain focus on the gospel of grace in our interpretations of Daniel? The first reason is to keep our messages Christian. We are not Jews, Muslims, or Hindus whose followers may believe our status with God is determined by our performance. We believe that Christ's finished work is our only hope. To make Daniel simply an example of one who fulfills God's moral imperatives and thus earns his blessing is essentially an unchristian message. Apart from God's justifying, enabling, and preserving grace, no human can do what God requires to be done. Jesus said, "Apart from me you can do nothing" (John 15:5). Interpretations of Daniel devoid of the enabling grace of Christ - even in its Old Testament forms of unmerited divine provision - implicitly deny the necessity of Christ. ~ Bryan Chapell

Thomas Jefferson once said that all men are created equal ( ... ). There is a tendency ( ... ) for certain people to use this phrase out of context, to satisfy all conditions. The most ridiculous example I can think of is that the people who run public education promote the stupid and idle along with the industrious-because all men are created equal, educators will gravely tell you, the children left behind suffer terrible feelings of inferiority. We know all men are not created equal in the sense some people would have us believe-some people are smarter than others, some people have more opportunity because they're born with it, some men make more money than others, some ladies make better cakes than others-some people are born gifted beyond the normal scope of most men. ~ Harper Lee

Among the Aztecs, for example, who had a number of heavens to which people's souls would be assigned according to the conditions of their death, the heaven for warriors killed in battle was the same for mothers who died in childbirth. Giving birth is definitely a heroic deed, in that it is the giving over of oneself to the life of another. ~ Joseph Campbell

In Russia there is great interethnic hatred, class hatred - I mean hatred for wealthy people - that is stirred up by official propaganda. That is why there can be no 'velvet' solution, as there was, for example, in Georgia or Ukraine. ~ Boris Nemtsov

Carry a notebook and write down examples of good and poor design. After a week, you'll begin to realize that nearly everything is the product of a design decision. ~ Daniel H. Pink

Another example of how a metaphor can create new meaning for us came about by accident. An Iranian student, shortly after his arrival in Berkeley, took a seminar on metaphor from one of us. Among the wondrous things that he found in Berkeley was an expression that he heard over and over and understood as a beautifully sane metaphor. The expression was "the solution of my problems" - which he took to be a large volume of liquid, bubbling and smoking, containing all of your problems, either dissolved or in the form of precipitates, with catalysts constantly dissolving some problems (for the time being) and precipitating out others. He was terribly disillusioned to find that the residents of Berkeley had no such chemical metaphor in mind. And well he might be, for the chemical metaphor is both beautiful and insightful. It gives us a view of problems as things that never disappear utterly and that cannot be solved once and for all. All of your problems are always present, only they may be dissolved and in solution, or they may be in solid form. The best you can hope for is to find a catalyst that will make one problem dissolve without making another one precipitate out. [...] The CHEMICAL metaphor gives us a new view of human problems. It is appropriate to the experience of finding that problems which we once thought were "solved" turn up again and again. The CHEMICAL metaphor says that problems are not the kind of things that can be made to disappear forever. To treat them as th ~ George Lakoff

One of the things that is nice about these old pastors - they were young at the time - who went into the Middle West is that they were real humanists. They were often linguists, for example, and the schools that they established were then, as they are now, real liberal arts colleges where people studied the humanities in a very broad sense. I think that should be reflected in his mind; appropriately, it is. ~ Marilynne Robinson

I'm not sure if resilience is ever achieved alone. Experience allows us to learn from example. But if we have someone who loves us-I don't mean who indulges us, but who loves us enough to be on our side-then it's easier to grow resilience, to grow belief in self, to grow self-esteem. And it's self-esteem that allows a person to stand up. ~ Maya Angelou

But I know, with all the certainty of my being, that Jesus has no interest in my doing this. To just say, "Jesus, Jesus, Jesus, I'm your biggest fan," causes him to stare at his watch, tap his feet, and order a double Glenlivet on the rocks with a twist. Fandom is of no interest to Jesus. What matters to him is the authentic following of a disciple. We all settle for saying, "Jesus," but Jesus wants us to be in the world who he is. ~ Gregory Boyle

The Romans have provided a lot of writers with a model for various interstellar empires, of course, and no wonder. The Roman Empire is a really good example of a large empire that, in one form or another, functioned for quite a long time over a very large area. And over all that time, there was all sorts of exciting drama – civil wars and assassinations and revolts and bits breaking off and being forced back in ... But I didn't want my future – however fanciful it was – to be entirely European. The Radchaai aren't meant to be Romans in Space. ~ Ann Leckie

And that is that they went about systematically understanding how to disrupt and change a person's entire processes. And these Taliban - I'm not trying to say the Republican Party is the Taliban. No, that's not what we're saying. I'm saying an example of how you go about [sic] is to change a person from their messaging to their operations to their frontline message. And we need to understand that insurgency may be required when the other side, the House leadership, does not follow the same commands, which we entered the game with. ~ Pete Sessions

So it's not really whether you talk about politics, but how well were you able to do it. Peter Gabriel and Sting get away with it ... U2 ... the examples are there, of people being able to carry these subjects in the music, and the audience is absolutely able to embrace subjects that aren't just the stuff they already know about. And they're actually able to learn stuff. ~ Jackson Browne

Depression as one example is an illness that has a chemical basis, but also is deeply embedded in cultural norms about gender, social class, race. ~ Jonathan Michel Metzl

Every negative has a positive." Take my sickness, for example. Being sick is not good, but through this, I have received a lot of blessings in different forms. Because of this, I am able to share everything that God has done for me. ~ Kcat Yarza

I would say I'm a storyteller first, but game making is very wrapped up in how I think of story. If I were to have a story idea, and I decided to write a novel with it instead, I'd have to very consciously de-couple it from gamedom - for example, deliberately add in things that could not be represented in a game scene. ~ Jane Jensen

Young people can learn from my example that something can come from nothing. What I have become is the result of my hard efforts. ~ Joseph Haydn

For this reason poetry is more philosophical and more serious than history; poetry utters universal truths, history particular statements. The universal truths concern what befits a person of a certain kind to say or do in accordance with probability and necessity - and that is the aim of poetry, even if it makes use of proper names.* A particular statement tells us what (for example) Alcibiades* did or what happened to him. In the case of comedy this is already manifest: the poets make up the story on the basis of probability and then attach names to the characters at random; ~ Aristotle.

Without an alternative world against which he can measure, compare and contrast his own, without an example of what natural perfection would actually look like, sound like, smell and taste like, the thinking man - the inquisitive risen ape - is rendered fundamentally incapable of ever faithfully auditing the cell he calls his garden, and with that disability entrenched, his blindness is near complete. The world is as it is. Things are the way they are. You make do with what you have, lust for the things you do not, cut off your arm - if you must - to save your life , and strive for some future you desire, or at the very least believe possible, because in the final analysis, "I don't want to be here," means very, very little if there is nowhere else to be. ~ John Zande

Many people of our time reason along the following lines: The religions - or the differing spiritual perspectives within a given religion - contradict one another, therefore they cannot all be right; consequently none is true. This is exactly as if one said: Every individual claims to be "I," thus they cannot all be right; consequently none is "I." This example shows up the absurdity of the antireligious argument, by recalling the real analogy between the inevitable external limitation of religious language and the no less inevitable limitation of the human ego. To reach this conclusion, as do the rationalists who use the above argument, amounts in practice to denying the diversity of the knowing subjects as also the diversity of aspects in the object to be known. It amounts to pretending that there are neither points of view nor aspects; that is to say, that there is but a single man to see a mountain and that the mountain has but a single side to be seen. The error of the subjectivist and relativist philosophers is a contrary one. According to them, the mountain would alter its nature according to whoever viewed it; at one time it might be a tree and at another a stream.

[No activity without Truth] - Studies in Comparative Religion, Vol. 3, No. 4. (Autumn 1969) ~ Frithjof Schuon

The general nature of the speech act fallacy can be stated as follows, using "good" as our example. Calling something good is characteristically praising or commending or recommending it, etc. But it is a fallacy to infer from this that the meaning of "good" is explained by saying it is used to perform the act of commendation. ~ John Searle

Ancient Egypt, like that of the Olmecs (Bolivia), emerged all at once and fully formed. Indeed, the period of transition from primitive to advanced society appears to have been so short that it makes no kind of historical sense. Technological skills that should have taken hundreds or even thousands of years to evolve were brought into use almost overnight-- and with no apparent antecedents whatever. For example, remains from the pre-dynastic period around 3500 BC show no trace of writing. Soon after that date, quite suddenly and inexplicably, the hieroglyphs familiar from so many of the ruins of Ancient Egypt begin to appear in a complete and perfect state. Far from being mere pictures of objects or actions, this written language was complex and structured at the outset, with signs that represented sounds only and a detailed system of numerical symbols. Even the very earliest hieroglyphs were stylized and conventionalized; and it is clear that an advanced cursive script was it common usage by the dawn of the First Dynasty. ~ Graham Hancock

It is a truism of epistolary psychology that, for example, a Christmas thank-you note written on December 26 can say any old thing, but if you wait until February, you are convinced that nothing less than Middlemarch will do. ~ Anne Fadiman

I love a smart, well-written show, and '30 Rock,' well, you can't get any better than that. Tina Fey poos funny. There's nothing that she does that isn't funny. That show is an example of how brilliant she is. It's so smart. They've done some brilliant commentary about the 'Housewives' with 'Queen of Jordan,' their show-within-the-show. ~ Andy Cohen

One of the most amazing and perplexing features of mainstream Christianity is that seminarians who learn the historical-critical method in their Bible classes appear to forget all about it when it comes time for them to be pastors. They are taught critical approaches to Scripture, they learn about the discrepancies and contradictions, they discover all sorts of historical errors and mistakes, they come to realize that it is difficult to know whether Moses existed or what Jesus actually said and did, they find that there are other books that were at one time considered canonical but that ultimately did not become part of Scripture (for example, other Gospels and Apocalypses), they come to recognize that a good number of the books of the Bible are pseudonymous (for example, written in the name of an apostle by someone else), that in fact we don't have the original copies of any of the biblical books but only copies made centuries later, all of which have been altered. They learn all of this, and yet when they enter church ministry they appear to put it back on the shelf. For reasons I will explore in the conclusion, pastors are, as a rule, reluctant to teach what they learned about the Bible in seminary. ~ Bart D. Ehrman

If Samkhya-Yoga philosophy does not explain the reason and origin of the strange partnership between the spirit and experience, at least tries to explain the nature of their association, to define the character of their mutual relations. These are not real relationships, in the true sense of the word, such as exist for example between external objects and perceptions. The true relations imply, in effect, change and plurality, however, here we have some rules essentially opposed to the nature of spirit.
"States of consciousness" are only products of prakriti and can have no kind of relation with Spirit the latter, by its very essence, being above all experience. However and for SamPhya and Yoga this is the key to the paradoxical situation the most subtle, most transparent part of mental life, that is, intelligence (buddhi) in its mode of pure luminosity (sattva), has a specific quality that of reflecting Spirit. Comprehension of the external world is possible only by virtue of this reflection of purusha in intelligence. But the Self is not corrupted by this reflection and does not lose its ontological modalities (impassibility, eternity, etc.). The Yoga-sutras (II, 20) say in substance: seeing (drashtri; i.e., purusha) is absolute consciousness ("sight par excellence") and, while remaining pure, it knows cognitions (it "looks at the ideas that are presented to it"). Vyasa interprets: Spirit is reflected in intelligence (buddhi), but is neither like it nor different from i ~ Mircea Eliade

The experience of [the African] bishops is that evangelization itself should be foremost, that the God of Jesus Christ must be known, believed in and loved, and that hearts must be converted if progress is to be made on social issues and reconciliation is to begin, and if - for example - AIDS is to be combated by realistically facing its deeper causes and the sick are to be given the loving care they need. Social issues and the Gospel are inseparable. ~ Pope Benedict XVI

A few months ago on a school morning, as I attempted to etch a straight midline part on the back of my wiggling daughter's soon-to-be-ponytailed blond head, I reminded her that it was chilly outside and she needed to grab a sweater.

"No, mama."

"Excuse me?"

"No, I don't want to wear that sweater, it makes me look fat."

"What?!" My comb clattered to the bathroom floor. "Fat?! What do you know about fat? You're 5 years old! You are definitely not fat. God made you just right. Now get your sweater."

She scampered off, and I wearily leaned against the counter and let out a long, sad sigh. It has begun. I thought I had a few more years before my twin daughters picked up the modern day f-word. I have admittedly had my own seasons of unwarranted, psychotic Slim-Fasting and have looked erroneously to the scale to give me a measurement of myself. But these departures from my character were in my 20s, before the balancing hand of motherhood met the grounding grip of running. Once I learned what it meant to push myself, I lost all taste for depriving myself. I want to grow into more of a woman, not find ways to whittle myself down to less.

The way I see it, the only way to run counter to our toxic image-centric society is to literally run by example. I can't tell my daughters that beauty is an incidental side effect of living your passion rather than an adherence to socially prescribed standards. I can't tell my son how t ~ Kristin Armstrong

I bring myself innately to it, yeah. I bring those details as much as I - what I don't obsess over is, there are certain ways I might've pushed it even a little more. For example, [to Warren] your accent. I know Warner Bros. at one point came in. I don't know, until you came to set, I know I wore that long tartan skirt and the ruffled blouse for that. ~ Vera Farmiga

We live now in an era that is intensely seeking what is sacred; but because of a sort of dictatorship of subjectivism, man would like to confine the sacred to the realm of the profane. The best example of this is when we create new liturgies, the result of more or less artistic experiments, that do not allow any encounter with God. We claim somewhat arrogantly to remain in the human sphere so as to enter into the divine. For ~ Robert Sarah

You are born in a human form, and you find joy in it. Yet there are ten thousand other forms endlessly transforming that are equally good, and the joy in these is untold. The sage dwells among those things, which can never be lost, and so he lives forever. He willingly accepts early death, old age, the beginning and the end, and serves as an example for everyone.63 ~ Arnold Mindell

Why am I making the point that even the most anxiety-prone people aren't anxious all the time? Noticing the grayness and fuzziness involved in defining yourself in any one particular way will help your ongoing development of flexible thinking. The purpose of seeing the grayness of your nature is to not label yourself too rigidly.
Experiment: What's a recent example of a situation that someone might've found anxiety provoking, but you didn't? ~ Alice Boyes

No matter what these terrorists do, I refuse to be terrorized. All this requires is just a few alterations in our day to day lives. For example, my first instinct when I receive an envelope full of white powder ... is to snort it! I just won't do that this time! ~ Margaret Cho

Music is a form that tends to give shape to rules, social mores, social attitudes, feelings - it does this in a very beautiful, fluid way. To me the issue of form and formlessness is most strong in the theme of mortality versus a human wish for immortality of a sort. Take, for example, the definition of beauty in fashion. Remember what Alison says at the beginning? She says when she was young she didn't know what beautiful was. She looked at this woman who everyone was saying was beautiful and she didn't even know what they were talking about. I experienced that when I was a child. If I loved someone I thought they were really beautiful. And then eventually, I began to get it, the social concept of beauty. Not that I think beautiful is completely imaginary, but beauty is so wide ranging and fluid. Yet there's a need to say: "This is what it is, and it's not changing; we're taking a picture of it to hold it still." It's like an impulse to put up a building meant to last forever. An urge to grab and hold something in place when nothing human can be grabbed and held in place. We come into these physical bodies . . . whatever we are takes this shape that is so particular and distinct - eyes, nose, mouth - and then it gradually begins to disintegrate. Eventually it's going to dissolve completely. It's a huge problem for people; we can understand it, but it breaks our hearts. And so we're constantly trying to pin something down or leave a trace that will last forever. "And this is ~ Mary Gaitskill

A suit is my work uniform, Sadie, nothing more. It's business, and also about professionalism and maturity, and to a lesser degree, image. I'm not going to wear a T-shirt and jeans into a business meeting with NASA, for example. Not when we're going to sit down and discuss future projects that could add up to billions of dollars. I'm not hiding behind my clothes, but I'm not being inauthentic either. ~ Jill Shalvis

Certain things are expected of you when you're a demon. Take the grotesque bodies, for example. Powerful, lethal, but definitely not beauty pageant material. Which is why the more talented among the demon race normally reverted to a basic human form. Those that couldn't take human form were destined to a life of servitude or as a meal on legs. ~ Samantha Blake

This "Hawking temperature" of a black hole and its "Hawking radiation" (as they came to be called) were truly radical - perhaps the most radical theoretical physics discovery in the second half of the twentieth century. They opened our eyes to profound connections between general relativity (black holes), thermodynamics (the physics of heat) and quantum physics (the creation of particles where before there were none). For example, they led Stephen to prove that a black hole has entropy, which means that somewhere inside or around the black hole there is enormous randomness. He deduced that the amount of entropy (the logarithm of the hole's amount of randomness) is proportional to the hole's surface area. His formula for the entropy is engraved on Stephen's memorial stone at Gonville and Caius College in Cambridge, where he worked.
For the past forty-five years, Stephen and hundreds of other physicists have struggled to understand the precise nature of a black hole's randomness. It is a question that keeps on generating new insights about the marriage of quantum theory with general relativity - that is, about the ill-understood laws of quantum gravity. ~ Stephen Hawking