Hardy's "Small" Discovery Remembered.

نویسندگان

  • Indika Rajapakse
  • Lindsey Muir
  • Paul Martin
چکیده

The most beautiful mathematics to Godfrey Harold Hardy was that which had no application. For Hardy, mathematics was purely for intellectual challenge. He justified the pursuit of pure mathematics with the argument that its very “uselessness” meant that it could not be used to cause harm. Hardy went so far as to describe applied mathematics as “ugly”, “trivial”, and “dull” [1]. Despite Hardy’s aversion to applied mathematics, he had a profound impact on biology. Mathematicians tend not to realize his contribution, which was downplayed by Hardy himself. At the same time, biologists tend not to appreciate his mathematical brilliance. This note is intended to recognize G. H. Hardy’s “little” discovery as a contribution to genetics and to revisit a classic paper [2] that has shaped the field for the past century. Godfrey Harold Hardy, a graduate of Trinity College, Cambridge, began his mathematics career

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hardy's paradox and violation of a state-independent Bell inequality in time.

Tests such as Bell's inequality and Hardy's paradox show that joint probabilities and correlations between distant particles in quantum mechanics are inconsistent with local realistic theories. Here we experimentally demonstrate these concepts in the time domain, using a photonic entangling gate to perform nondestructive measurements on a single photon at different times. We show that Hardy's p...

متن کامل

A Multivariate Form of Hardy's Inequality and L P -error Bounds for Multivariate Lagrange Interpolation Schemes

The following multivariate generalisation of Hardy's inequality, that for m ? n=p > 0

متن کامل

Some new generalizations of Hardy's integral inequality

We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.

متن کامل

Transsphenoidal line of vision on MRI for pituitary tumor surgery.

This study was done to determine the usefulness of the sagittal magnetic resonance image (MRI) in predicting the ease of resectability of pituitary adenomas operated through the transsphenoidal route. Tumors were graded according to Hardy's method and a new system proposed by us. In this system the amount of tumor above the line of vision (V-line) as seen on the sagittal MRI was estimated and c...

متن کامل

7 Hardy - type theorem for orthogonal functions with respect to their zeros . The Jacobi weight case

Motivated by G. H. Hardy's 1939 results [4] on functions orthogonal with respect to their real zeros λn, n = 1, 2,. .. , we will consider, within the same general conditions imposed by Hardy, functions satisfying an orthog-onality with respect to their zeros with Jacobi weights on the interval (0, 1), that is, the functions f (z) = z ν F (z), ν ∈ R, where F is entire and Z 1 0 f (λnt)f (λmt)t α...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Notices of the American Mathematical Society. American Mathematical Society

دوره 55 3  شماره 

صفحات  -

تاریخ انتشار 2008