Quotes by Mathematicians

In the interest rate area, traders have for a long time used a version of what is known as Black's model for European bond options; another version of the same model for caps and floors; and yet another version of the same model for European swap options. John Hull
Time Black Long Long Time Rate Area Known Another Version Model Options Same Interest Swap Used Caps European Floors Bond
One important measurement issue concerns the fat tails problem that I mentioned earlier. VAR is concerned with extreme outcomes. If the tails of the probability distributions we are using are too thin, our VAR measures are likely to be too low. John Hull
Problem Measurement Important Too Our Extreme Outcomes Mentioned Tails Likely Concerned Concerns Issue Probability Low Measures Using Thin Earlier Fat
Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward. John Hull
Tree Our High Rate Direction Very Depends Moves Upward Which Short-Term Interest Low Average Downward Actually Level
The real challenge was to model all the interest rates simultaneously, so you could value something that depended not only on the three-month interest rate, but on other interest rates as well. John Hull
You Challenge Value Other Three-Month Rate Something Rates Only Could Simultaneously Well Real Model Depended Interest Interest Rates
There are challenges in terms of the measurement of VAR for what are known as nonlinear derivatives, where things like gamma and vega are important dimensions of the risk. John Hull
Challenges Measurement Important Dimensions Risk Like Terms Known Nonlinear Where Derivatives Gamma Things
We started giving presentations at practitioner conferences in 1986, and since then all of our derivatives research has been stimulated by contact with practitioners. John Hull
Giving Research Our Has-Been Contact Since Stimulated Been Conferences Then Derivatives Started
It would appear that we have reached the limits of what it is possible to achieve with computer technology, although one should be careful with such statements, as they tend to sound pretty silly in 5 years. John von Neumann
Technology Achieve Statements Possible Would Be Careful Pretty Silly Tend Computer Reached Although Sound Limits Years Should Appear Careful
The mathematician, carried along on his flood of symbols, dealing apparently with purely formal truths, may still reach results of endless importance for our description of the physical universe. Karl Pearson
Universe Our Carried Physical Purely Results Along Reach Importance Dealing Still His Mathematician Truths Endless May Formal Apparently Description Flood Symbols
Like what you do, and then you will do your best. Katherine Johnson
Best You Will Do Your Best Like Then Your
Our teachers made such a difference - all my teachers and professors were very supportive and nurturing. Katherine Johnson
Nurturing Made Our Supportive Were Very Difference Teachers Professors
To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. Leonhard Euler
Mathematics Mysteries Those Hidden Small Concept Quantity Answer Infinitely Ask Who Many Hence Believed Zero Actually
Madam, I have come from a country where people are hanged if they talk. Leonhard Euler
People Country Madam Come Talk Hanged Where
We need scientists and mathematicians explaining why they are excited about their subjects but also why they are important for solving social problems, informing political debate and for the economy. Marcus du Sautoy
Political Debate Problems Important Solving About Excited Economy Also Scientists Political Debate Mathematicians Subjects Informing Explaining Social Social Problems Why Need
Artists realise that mathematicians have a way of looking at the world that can make them see things differently. Marcus du Sautoy
World Looking Way See Make Mathematicians Artists Realise Them Differently Things
I think science is a foreign land for many people, so I think of my role as an ambassador's job. Marcus du Sautoy
Science People Job Think Foreign Foreign Land Ambassador Role Land Many
I think my primary audience is in some sense an adult audience, because I think that will then have a knock-on effect for children. Marcus du Sautoy
Will Sense Think Some Adult Primary Because Audience Effect Children Then
You know, I'm not terribly fast at my times tables, because that's not what I think mathematics is about. Marcus du Sautoy
Mathematics You Think Tables About Know Terribly Because Times Fast
I'm obviously attuned to pick up mathematics whenever I can see it. But in Mozart there is a lot of conscious use of mathematical symbolism and numbers in order to try and give messages. Marcus du Sautoy
Mathematics Try See Give Pick Messages Obviously Attuned Mathematical Lot Up Whenever Order Mozart Use Conscious Symbolism Numbers
It's my belief that you can take everyone down a logical path if you take them slowly enough, and the trouble is that mathematical brains can get scrambled a little bit on the way. You get a bad teacher, it messes you up for the rest of the journey. Marcus du Sautoy
Teacher Journey You Logical Path Rest Trouble Down Enough Everyone Way Bit Bad Slowly Take Messes Mathematical Brains Up Get Scrambled Little Little Bit Them Belief
The best mobile phone had the best mathematician. They know how to fit a huge amount of data into a small amount of space. How to do things efficiently, how to do them cleverly. Marcus du Sautoy
Best Phone Space Data Small Had Know How Mathematician Mobile Fit Huge Huge Amount Efficiently Them Amount Things
The reason why we do maths is because it's like poetry. It's about patterns, and that really turned me on. It made me feel that maths was in tune with the other things I liked doing. Marcus du Sautoy
Me Made Other About Poetry Feel Like Liked Because Doing Maths Tune Patterns Turned Really Reason Why Things
I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it. Maryam Mirzakhani
School Thinking About Couple Math Years Did Just Middle Middle School Not Interested Interested Poorly
I find it fascinating that you can look at the same problem from different perspectives and approach it using different methods. Maryam Mirzakhani
You Problem Approach Find Look Methods Same Different Perspectives Different Perspectives Fascinating Using
I like crossing the imaginary boundaries people set up between different fields - it's very refreshing. Maryam Mirzakhani
People Crossing Between Boundaries Like Up Very Refreshing Different Fields Imaginary Set
I don't give up easily. Maryam Mirzakhani
Easily Give Up
As a graduate student at Harvard, I had to explain quite a few times that I was allowed to attend a university as a woman in Iran. Maryam Mirzakhani
Woman Few Harvard Student Had Allowed Attend Iran Times Graduate Quite Graduate Student Explain University
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