Contractions of the Real Line

نویسنده

  • Alan F. Beardon
چکیده

1. D. A. Darling, On a class of problems related to the random division of an interval, Ann. Math. Statist. 24 (1953) 239–253. 2. B. V. Gnedenko, The Theory of Probability, 4th ed., Chelsea, New York, 1968. 3. R. Honsberger, Ingenuity in Mathematics, Mathematical Association of America, Washington, D.C., 1970. 4. M. G. Kendall and P. A. P. Moran, Geometrical Probability, Griffin, London, 1963. 5. J. G. Mauldon, Random division of an interval, Proc. Cambridge Philos. Soc. 47 (1951) 331–336. 6. H. Solomon, Geometric Probability, SIAM CBMS-NSF regional conference series in applied mathematics, no. 28, Philadelphia, 1978. 7. A. M. Yaglom and I. M. Yaglom, Challenging Mathematical Problems with Elementary Solutions, Holden Day, San Francisco, 1964.

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

POINTWISE PSEUDO-METRIC ON THE L-REAL LINE

In this paper, a pointwise pseudo-metric function on the L-realline is constructed. It is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

متن کامل

On-Line Learning of a Persian Spoken Dialogue System Using Real Training Data

The first spoken dialogue system developed for the Persian language is introduced. This is a ticket reservation system with Persian ASR and NLU modules. The focus of the paper is on learning the dialogue management module. In this work, real on-line training data are used during the learning process. For on-line learning, the effect of the variations of discount factor (g) on the learning speed...

متن کامل

On-Line Learning of a Persian Spoken Dialogue System Using Real Training Data

The first spoken dialogue system developed for the Persian language is introduced. This is a ticket reservation system with Persian ASR and NLU modules. The focus of the paper is on learning the dialogue management module. In this work, real on-line training data are used during the learning process. For on-line learning, the effect of the variations of discount factor (g) on the learning speed...

متن کامل

Expression Analysis of Interferon Beta Level in HEK293T Cells Using Real-Time PCR and Protein Tests

Background: Interferons are some kind of natural cytokines which express in response to a variety of antigens including viral RNA, bacterial products, and tumor proteins. Interferon beta is used in the treatment of autoimmune diseases such as multiple sclerosis. Moreover, this drug inhibits cellular proliferation as well as angiogenesis and as a result, helps to cure cancer. In this research, i...

متن کامل

Fixed Point Results for Generalized Contractions in Gauge Spaces and Applications

In this paper, we present fixed point results for generalized contractions defined on a complete gauge space E. Also, we consider families of generalized contractions {ft : X → E}t∈[0,1] where X ⊂ E is closed and can have empty interior. We give conditions under which the existence of a fixed point for some ft0 imply the existence of a fixed point for every ft. Finally, we apply those results t...

متن کامل

Common fixed points of f-weak contractions in cone metric spaces

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...

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:
  • The American Mathematical Monthly

دوره 113  شماره 

صفحات  -

تاریخ انتشار 2006