Top 1200 Mathematical Models Quotes & Sayings - Page 3

Kant, discussing the various modes of perception by which the human mind apprehends nature, concluded that it is specially prone to see nature through mathematical spectacles. Just as a man wearing blue spectacles would see only a blue world, so Kant thought that, with our mental bias, we tend to see only a mathematical world.

...the computer models are very good at solving equations of fluid dynamics but very bad at describing the real world. The real world is full of things like clouds and vegetation and soil and dust which the models describe very poorly.

I don't understand the business models of Flipkart and Uber. See no logic in people saying business models like that of Flipkart will flourish but that of D-Mart will not.

You're not working with models, you're working with real women who have, like, anatomy. Models do not have anatomy

Typically, when you look for role models, you want someone who has your interests and came from the same background. Well, look how restricting that is. What people should do is take role models a la carte. If there's someone whose character you appreciated, you respect that trait.

The economics of the space industry are changing. Within so called 'NewSpace,' not only are new entrants being created almost daily, the business models and capital sources have proven to be dramatically different from traditional models built upon large government contracts and defence-related spending.

We aren't lazy, overweight models. We work out and must maintain proportionate bodies for work. Plus models are curvy and fit. Don't let the scale fool you. Plus doesn't always equal unhealthy, just like skinny doesn't always equal healthy.

I think there's inherently an issue that models will literally never be able to handle, which is that when somebody comes along with a new way of doing something that's really excellent, the models will not recognize it. They only know how to recognize excellence when they can measure it somehow.

But as the work proceeded I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was not more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.

Let's face it: Most of us don't realize it, but we are failing our kids as reading role models. The best role models are in the home: brothers, fathers, grandfathers; mothers, sisters, grandmothers. Moms and dads, it's important that your kids see you reading. Not just books - reading the newspaper is good, too.

I feel like people always thought my sister and I were models. I think it was just because if you went through Diva Search, that's just what you were. We were never models; we were athletes. We were athletes who fell in love with wrestling.

The mathematical question is "Why?" It's always why. And the only way we know how to answer such questions is to come up, from scratch, with these narrative arguments that explain it. So what I want to do with this book is open up this world of mathematical reality, the creatures that we build there, the questions that we ask there, the ways in which we poke and prod (known as problems), and how we can possibly craft these elegant reason-poems.

I think sometimes girls look at Victoria's Secret models and think that they have to model themselves after that, but I really don't think that's the best; even though they are called 'models,' they're not the best people to model yourself after.

I don't believe professional athletes should be role models. I believe parents should be role models.... It's not like it was when I was growing up. My mom and my grandmother told me how it was going to be. If I didn't like it, they said, Don't let the door hit you in the ass on your way out. Parents have to take better control.

Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.

For the theory-practice iteration to work, the scientist must be, as it were, mentally ambidextrous; fascinated equally on the one hand by possible meanings, theories, and tentative models to be induced from data and the practical reality of the real world, and on the other with the factual implications deducible from tentative theories, models and hypotheses.

Models walking down the street are very rarely recognized as such. It is often the same as it was for me: models were the school freaks. Way too thin and their eyes way too far apart. They were not the ideal. But then they put on fantastic clothes, have their make up done and you have this special beauty. It's a creation.

You have to look for a unique quality in that person and it's not just always physical. I don't think models are great models because of their face or their body. Obviously, I think their physical characteristics are important, but I think it's very much about your personality and inner beauty and really understanding how to be a great model instinctively. And that's where it all comes from.

I don't believe professional athletes should be role models. I believe parents should be role models.

I want to let [my photographs] be something that comes from the model in her own way. I don't want to take the models too much out of their own skin. I realized that I wanted to create a marriage between who the person was, the nature, the beauty in the figure, and how the models sat or posed themselves.

It is annoying that some people only see black women as role models to other black women, rather than as role models to lots of different people.

Like music or art, mathematical equations can have a natural progression and logic that can evoke rare passions in a scientist. Although the lay public considers mathematical equations to be rather opaque, to a scientist an equation is very much like a movement in a larger symphony. Simplicity. Elegance. These are the qualities that have inspired some of the greatest artists to create their masterpieces, and they are precisely the same qualities that motivate scientists to search for the laws of nature. LIke a work of art or a haunting poem, equations have a beauty and rhythm all their own.

It seems perfectly clear that Economy, if it is to be a science at all, must be a mathematical science. There exists much prejudice against attempts to introduce the methods and language of mathematics into any branch of the moral sciences. Most persons appear to hold that the physical sciences form the proper sphere of mathematical method, and that the moral sciences demand some other method-I know not what.

The Internet is a really big tent. In theory, it can support the full range of models, one of which is, 'Here's my information and I'm happy you can use it,' and the other one is, 'Here's the information and you can't have it unless you pay me for it,' and perhaps some things in-between. There is a full spectrum of models.

It would be nice if models were allowed to be a more healthy weight - for the models, and for the young women who look up to them. We were athletic and healthy, and we looked like women.

In my opinion, one of the most exciting potentials of the blockchain relate to creating new business models, whether in public or in private settings. In most of these cases, the new models don't care for incumbents because they are mostly on a disruption quest.

It's really important to have role models, and a lot of the ancients always talked about this. Seneca talked about this, Aristotle talked about this, and in fact, this was my boxing coach's philosophy in college, was that you have to have role models.

Conventions of generality and mathematical elegance may be just as much barriers to the attainment and diffusion of knowledge as may contentment with particularity and literary vagueness... It may well be that the slovenly and literary borderland between economics and sociology will be the most fruitful building ground during the years to come and that mathematical economics will remain too flawless in its perfection to be very fruitful.

I don't believe athletes should be role models. . . . We're a one-shot deal, one in a million, so we should be the least likely role models. . . . I think one of the problems in society today is that we don't stress education enough, because we glorify athletes, actors and actresses.

In fashion, of course, the way that women are dressed now - and also a vision of the modern woman, the woman of today. She's very feminine, but at the same time, extremely free. A Saint Laurent woman is actually very Parisian. She's not really a man's equal, she's his adversary. I worked on the catwalk with two models who worked with Yves Saint Laurent for more than 10 years. They're not just gorgeous models, they're more than that - they're very smart and very beautiful. They're more than models, they're really unique; it's personality. It's more than just fashion.

Perhaps the greatest scientific deception of the IPCC is the abuse and misuse of computer climate models. They allow them to make their reports and deliberations appear credible. They allow them to bamboozle the public because computer models are a complete mystery to most people.

Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different perspective. [...] Because of their application to a broad range of topics, their strict grammar, and their strict interpretation, programming languages can provide new insights into mathematical notation.

Straight sized boards are models size 0-6. Plus size boards are models starting at a 10. If a size 8 girl was 5' 11 and curvy, she'd be on the plus sized board, because there's nothing in between.

Until now, physical theories have been regarded as merely models with approximately describe the reality of nature. As the models improve, so the fit between theory and reality gets closer. Some physicists are now claiming that supergravity is the reality, that the model and the real world are in mathematically perfect accord.

During the 1950s, I decided, as did many others, that many practical problems were beyond analytic solution and that simulation techniques were required. At RAND, I participated in the building of large logistics simulation models; at General Electric, I helped build models of manufacturing plants.

What I’d like to teach my daughter about self-image and self-esteem is that you’re beautiful on the inside and the outside, and not to get obsessed with pictures that are out there in magazines of skinny models. I had an eating disorder in college and wanted to look like those models and be thin. So I’ll probably share that experience with her and let her know that you’re beautiful just the way you are.

I think it is undeniably true that the human brain must work in models. The trick is to have your brain work better than the other person's brain because it understands the most fundamental models- ones that will do most work per unit.

At the end of the '90s, I was very bored with the usual models, so I discovered a new generation that impressed me with their fresh look. I still keep working with models like Gisele Bundchen and Kate Moss, and I am still looking for new, interesting faces. Life is about discovery, and you should never stop searching.

We tell girls to be themselves, but then they have role models - sometimes too many role models - in popular culture who incarnate that kind of disconnectedness from oneself. We are taught to self-hate; we are taught to doubt. Our culture doesn't help us recognize ourselves as amazing beings without changing ourselves.

It’s hard to build models of inflation that don't lead to a multiverse. It’s not impossible, so I think there’s still certainly research that needs to be done. But most models of inflation do lead to a multiverse, and evidence for inflation will be pushing us in the direction of taking [the idea of a] multiverse seriously.

For me, I was always the only woman in my cohort, first as a mechanical engineering undergraduate student, then as a chemical engineering graduate student. There were very few women getting degrees in those fields at the time. My role models were men - great men role models.

That's why I think death is the most wonderful invention of life. It purges the system of these old models that are obsolete. I think that's one of Apple's challenges, really. When two young people walk in with the next thing, are we going to embrace it and say this is fantastic? Are you going to be willing to drop our models, or are we going to explain it away? I think we'll do better, because we're completely aware of it and we make it a priority.

It was always fun auditioning for commercials, because that was the beginning of my career, and me figuring out how I was going to portray myself as an actress vs. a model, because models were very different back then in the early '70s. They didn't usually hire models for acting. But I acted first in commercials and then I did modeling, so it was a little different.

I do think that metaphysical exploration is like scientific exploration, in the sense that philosophers and scientists are both developing models of reality, and furthermore that we all rely to a significant extent on the idea that models which provide elegant, simple and satisfying explanations are more likely to be true.

Models eat. They're crazy about moderation, but they eat. There's this feeling that all models are into drugs or drinking or whatever, but I've got to say, 99% of the girls I work with are the healthiest people I know. Of course, as humans, we're not going to eat salads and organic food all the time.

In 2007, a very inspired New York University Ph.D. student counted all the models on the runway, every single one that was hired, and of the 677 models that were hired, only 27, or less than four per cent, were non-white.

You're not working with models, you're working with real women who have, like, anatomy. Models do not have anatomy.

The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning, and when they cannot, it's a sign our Knowledge of them is very small and confus'd; and where a mathematical reasoning can be had, it's as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.

Going back into the history of a word, very often into Latin, we come back pretty commonly to pictures or models of how things happen or are done. These models may be fairly sophisticated and recent, as is perhaps the case with 'motive' or 'impulse', but one of the commonest and most primitive types of model is one which is apt to baffle us through its very naturalness and simplicity.

Here is a quilted book about mathematical practice, each patch wonderfully prepared. Part invitation to number theory, part autobiography, part sociology of mathematical training, Mathematics without Apologies brings us into contemporary mathematics as a living, active inquiry by real people. Anyone wanting a varied, cultured, and penetrating view of today's mathematics could find no better place to engage.

Business models change. As technology processes, business models change.

Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose?

Yes, I was on the cover of 'Vogue,' but girls on the cover of 'Vogue' are the most scared of rejection. Models are the most insecure of them all. Actually, actors and actresses are, and then musicians, and then models!

As a man may be born with a mathematical faculty, and by training that faculty year after year may immensely increase his mathematical capacity, so may a man be born with certain faculties within him, faculties belonging to the soul, which he can develop by training and by discipline.

I definitely think the girls look too skinny now. I'm friends with models Helena Christensen and Linda Evangelista, and I remember Linda telling me that when she was a model in the nineties, a sample size was a 6 or an 8. Now a sample dress size is a 0 or a 2. That's pretty alarming. There's a lot of pressure on the models. It's not healthy. I can't even imagine what that's like.

Not only in geometry, but to a still more astonishing degree in physics, has it become more and more evident that as soon as we have succeeded in unraveling fully the natural laws which govern reality, we find them to be expressible by mathematical relations of surprising simplicity and architectonic perfection. It seems to me to be one of the chief objects of mathematical instruction to develop the faculty of perceiving this simplicity and harmony.

I feel like when it comes to the models, certain models are now like commodities in certain ways.

What I realized is that if we're going to be able to have a theory about what happens in, for example, nature there has to ultimately be some rule by which nature operates. But the issue is does that rule have to correspond to something like a mathematical equation, something that we have sort of created in our human mathematics? And what I realized is that now with our understanding of computation and computer programs and so on, there is actually a much bigger universe of possible rules to describe the natural world than just the mathematical equation kinds of things.

I've never isolated role models based on gender. I have more male role models due to the mere fact that I've done business with more of them and they're leaders within the verticals I work. Of those, Tony Hsieh, CEO of Zappos.com, is an entrepreneur and personal friend that I have a great deal of respect for.

We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.