Top 1200 Mathematical Models Quotes & Sayings - Page 2

Every attempt to employ mathematical methods in the study of chemical questions must be considered profoundly irrational and contrary to the spirit of chemistry.... if mathematical analysis should ever hold a prominent place in chemistry -- an aberration which is happily almost impossible -- it would occasion a rapid and widespread degeneration of that science.

For me, actors have to have a character, an aura, body language. They're not models. They used to call actors models. But I want them to participate in the film.

... mathematical knowledge ... is, in fact, merely verbal knowledge. "3" means "2+1", and "4" means "3+1". Hence it follows (though the proof is long) that "4" means the same as "2+2". Thus mathematical knowledge ceases to be mysterious.

Curvy and plus-size models will just be models once it becomes more normalized and we get more representation and people are used to it and not shocked by it.

Role models are fine. Roll models are better. Anyone who can do a forward roll is pretty awesome in my book.

Hume develops his arguments by a series of models. He doesn't call them models in the pretentious way in which we envelope, very often, pure banalities in this jargon

When I started working, the big models were people like Naomi Campbell and Kate Moss. It was a time when there were models who had real personalities and individuality.

A girl's career today doesn't have the same kind of life span, whereas it used to be a collaboration and a partnership and it continued. Peter Lindbergh still uses girls - like, look at Amber Valetta - so there are some photographers that have relationships long-term with models. I also think that the industry can't support the amount of models that exist right now and therefore the relationships between photographers and models and even the clients is short lived.

The only basis for even talking about global warming is the predictions spewed out by computer models. The only quote/unquote "evidence" of global warming is what models are predicting the climate and the weather will be in the next 50 to 100 years. Now, what those models spit out is only as good as the data that's put in, and it's an absolute joke. In terms of science, it's a total joke. There is no warming, global or otherwise!

We feel certain that the extraterrestrial message is a mathematical code of some kind. Probably a number code. Mathematics is the one language we might conceivably have in common with other forms of intelligent life in the universe. As I understand it, there is no reality more independent of our perception and more true to itself than mathematical reality.

There were a few models who used to stay close to my building. I used to admire them and tell my friends that I did. Those models told me get into modeling.

Mathematical demonstrations being built upon the impregnable Foundations of Geometry and Arithmetick are the only truths that can sink into the Mind of Man, void of all Uncertainty; and all other Discourses participate more or less of Truth according as their Subjects are more or less capable of Mathematical Demonstration.

The only reason we make good role models is because you guys look up to athletes and we can influence you in positive ways. But the real role models should be your parents and teachers!

I am very lucky: there are so many models that look so particular and become the popular of-the-moment models. They have such a unique and special look, whereas I am more classic looking.

We wish we could have been there for you. We didn't have many role models of our own--we latched on to the foolish love of Oscar Wilde and the well-versed longing of Walt Whitman because nobody else was there to show us an untortured path. We were going to be your role models. We were going to give you art and music and confidence and shelter and a much better world. Those who survived lived to do this. But we haven't been there for you. We've been here. Watching as you become the role models.

You've got to have models in your head and you've got to array you experience - both vicarious and direct - onto this latticework of mental models.

You don't have to know people personally for them to be role models. Some of my most important role models were historical or literary figures that I only read about - never actually met.

String theory has had a long and wonderful history. It originated as a technique to try to understand the strong force. It was a calculational mechanism, a way of approaching a mathematical problem that was too difficult, and it was a promising way, but it was only a technique. It was a mathematical technique rather than a theory in itself.

From a mathematical standpoint it is possible to have infinite space. In a mathematical sense space is manifoldness, or combinations of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, the 10-dimension system.

The classes of problems which are respectively known and not known to have good algorithms are of great theoretical interest. [...] I conjecture that there is no good algorithm for the traveling salesman problem. My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know.

I guess rock stars are role models for the kids who listen to that music. My role models have all been geologists - you know, the guys who are doing fieldwork until they're 70.

The power in Washington, D.C., is centered on the status quo - outdated systems, models, and programs built for a previous century. With more silicon and less concrete, we can open up those models to return power and independence to every man, woman, and child.

Economic theorists, like French chefs in regard to food, have developed stylized models whose ingredients are limited by some unwritten rules. Just as traditional French cooking does not use seaweed or raw fish, so neoclassical models do not make assumptions derived from psychology, anthropology, or sociology. I disagree with any rules that limit the nature of the ingredients in economic models.

Some models are naturally very thin, but if they aren't naturally like that, then what these girls do to their health to fit in ... To be a size zero or a two when you're tall is incredible to me. 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 mathematical analysis we call x the undetermined part of line a: the rest we don't call y, as we do in common life, but a-x. Hence mathematical language has great advantages over the common language.

Fear has run rampant amongst our community of models. Far too many young models, both women and men, are mistreated and put at risk.

If you look at the role models that are out there, the women that tend to be photographed tend to be actresses and models, whereas the men are often in the media because of what they do in terms of business and sport.

Once you understand business models you can then start prototyping business models just like you prototype products.

Growing up I had lots of role models. Looking back, my parents were my first role models.

We didn't know we might become role models but it's good that we did because if you're put in a position like this, you should try to make a difference because a lot of kids today don't have role models.

Of course sportsmen and women are not only great role models, they are great fashion models too, as they are at the peak of physical perfection.

Before starting my own investment funds, the only models I was aware of were those of Warren Buffett and Charlie Munger. Their models made a lot of sense to me, so I cloned them.

I love so much the models from the '60s and the '70s. They were extremely professional, great models who knew how to work the camera so well and loved fashion and had a great sense of style.

I think kids need role models. I needed role models when I was growing up and I ran into a lot of different people and that's what helped me.

The usefulness of the models in constructing a testable theory of the process is severely limited by the quickly increasing number of parameters which must be estimated in order to compare the predictions of the models with empirical results.

We all have mental models: the lens through which we see the world that drive our responses to everything we experience. Being aware of your mental models is key to being objective.

Nature seems to take advantage of the simple mathematical representations of the symmetry laws. When one pauses to consider the elegance and the beautiful perfection of the mathematical reasoning involved and contrast it with the complex and far-reaching physical consequences, a deep sense of respect for the power of the symmetry laws never fails to develop.

... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.

Social media has had a huge impact on the industry. Models now have voices. We are connected directly to millions of people, and we are no longer just pretty faces modeling clothes. This has allowed us to reach a broad audience. This platform for models to connect directly with their fans has started to shift the power dynamic in the industry, but there's still a long way to go. I think we are heading in the right direction, as more people start to see the value in inviting models in the creative and collaborative process.

[Before the time of Benjamin Peirce it never occurred to anyone that mathematical research] was one of the things for which a mathematical department existed. Today it is a commonplace in all the leading universities. Peirce stood alone-a mountain peak whose absolute height might be hard to measure, but which towered above all the surrounding country.

I'm not sure we're presenting ourselves as real role models. I don't think literature has ever been a real place for role models.

The research worker, in his efforts to express the fundamental laws of Nature in mathematical form, should strive mainly for mathematical beauty. He should take simplicity into consideration in a subordinate way to beauty ... It often happens that the requirements of simplicity and beauty are the same, but where they clash, the latter must take precedence.

The paradigm shift of the ImageNet thinking is that while a lot of people are paying attention to models, let's pay attention to data. Data will redefine how we think about models.

When I started modeling, they tried to pay black models less than they paid Caucasian models. I turned down those jobs because I knew what I was worth.

Models, even male models - how small they've gotten! It looks great for clothes, but it's not what you want in real life. Why do we have to keep looking at ourselves and measuring?

When pastors don't have rich spiritual lives with Christ, they become victimized by other models of success - models conveyed to them by their training, by their experience in the church, or just by our culture.

Many people, especially in the U.S., see countries like Sweden or Norway or Finland as role models - we have such a clean energy sector, and so on. That may be true, but we are not role models.

Today, models are able to share industry news, trends, and communicate with fans through Twitter, Instagram and blogs. So in a way, our position as models is way more personable and relatable.

There exist better models of decisionmaking, for the governance of states, corporations and other large organizations, for example in Germany. We need to study such models and promising pathways on which our existing decisionmaking procedures can be gradually reformed.

However useful computer models may be, the one thing they cannot be is evidence. Computer climate models are simply conjectures.

Some people shun the idea of role models but I think it's one of the most important things people have in life - role models, to look up to.

For generations, field guides to plants and animals have sharpened the pleasure of seeing by opening our minds to understanding. Now John Adam has filled a gap in that venerable genre with his painstaking but simple mathematical descriptions of familiar, mundane physical phenomena. This is nothing less than a mathematical field guide to inanimate nature.

The Internet produces new business models and also reinvents traditional business models.

Simple models and a lot of data trump more elaborate models based on less data.

Abstracting human wisdom into models often works better than relying on human experts as models are often more consistent and less noisy.

To do any important work in physics a very good mathematical ability and aptitude are required. Some work in applications can be done without this, but it will not be very inspired. If you must satisfy your "personal curiosity concerning the mysteries of nature" what will happen if these mysteries turn out to be laws expressed in mathematical terms (as they do turn out to be)? You cannot understand the physical world in any deep or satisfying way without using mathematical reasoning with facility.

It can be shown that a mathematical web of some kind can be woven about any universe containing several objects. The fact that our universe lends itself to mathematical treatment is not a fact of any great philosophical significance.

I could try to incorporate or reflect in my models what it is that an employee, manager, or entrepreneur does: to recognize that most are engaged in their work, form expectations and evolve beliefs, solve problems, and have ideas. Trying to put these people into economic models became my project.

This common and unfortunate fact of the lack of adequate presentation of basic ideas and motivations of almost any mathematical theory is probably due to the binary nature of mathematical perception. Either you have no inkling of an idea, or, once you have understood it, the very idea appears so embarrassingly obvious that you feel reluctant to say it aloud.

Before, models had that rock star life and it was all about going to the parties and having that glamorous life, and I think these days, models are more like businesswomen and the whole industry takes it really serious.