A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
A Bonanza of Birthday Bewilderment

2001
*
Math Horizons
*

But keep in mind this

doi:10.1080/10724117.2001.12021829
fatcat:ndk7hbnvbrfudohoenuz6pklcq
*formula*is only an*approximation*, just as*the*relationship between*the**birthday**problem*and*the*birth mate*problem*is*approximate*. ... Note that*the**formula*obtained in*the*binomial*approximation*to*the**birthday**problem*, while an*approximation*of*the**birthday*probability, is basically*the*same as*the*exact birthmate probability*formula*...##
###
The matching, birthday and the strong birthday problem: a contemporary review

2005
*
Journal of Statistical Planning and Inference
*

This article provides a contemporary exposition at a moderately quantitative level of

doi:10.1016/j.jspi.2003.11.015
fatcat:b7bri4btgjgvllh2xtw4lib4hm
*the*distribution theory associated with*the*matching and*the**birthday**problems*. ... A large number of examples, many not well known, are provided to help a reader have a feeling*for*these questions at an intuitive level. ... Acknowledgements It is a pleasure to thank Jim Pitman and Shelley Zacks*for*their help and comments. References Abramson, M., Moser, W., 1970. More*birthday*surprises. Amer. Math. ...##
###
Two simulation models of the birthday problem and certain consequences

1991
*
Computers and Mathematics with Applications
*

Extensive treatment of

doi:10.1016/0898-1221(91)90203-g
fatcat:fzkzcgnoqjglpizv2eftfwth4y
*the**birthday**problem*is found,*for*instance, in [2, pp. 31, 46, 210] . ... Since (13) holds*for*all n ~ N, we may match*the*coefficients of like powers of n to obtain equation (11). In*the*sequel for_nwls, (10) is a*simple*consequence of (12),(3)and(5). ...##
###
Bernoulli numbers and the probability of a birthday surprise

2003
*
Discrete Applied Mathematics
*

We show that Bernoulli numbers can be used to derive arbitrarily exact bounds on

doi:10.1016/s0166-218x(02)00396-7
fatcat:lbz4z5bhmrf6lmypm7wkpqx6d4
*the*probability of a*birthday*surprise. ... A*birthday*surprise is*the*event that, given k uniformly random samples from a sample space of size n, at least two of them are identical. ...*The*term*birthday*surprise*for*a collision of (at least) two elements in*the*sample comes from*the*case n = 365, where*the**problem*can be stated as follows: Assuming that*the**birthday*of people distributes ...##
###
The Birthday Problem Revisited

1999
*
Teaching Statistics
*

This is

doi:10.1111/j.1467-9639.1999.tb00817.x
fatcat:hsrc5gvulzbcbbidlg2nf5z2ai
*the**simple*and hugely famous question, how many people do you need in a room*for**the*probability to be at least 0.5 that some pair of them will have*the*same*birthday*? ... One lesson that has a safe place in*the*teaching calendar*for*me is*the**Birthday**Problem*, tackled fairly early on in*the*study of probability. ...##
###
The birthday problem

2007
*
Significance
*

More

doi:10.1111/j.1740-9713.2007.00246.x
fatcat:vkrmtxhf4bfkzmmgf4eqpkwnva
*birthday**problems**For*many investigations of*birthday*coincidences,*the**simple*model, which assumes that all N dates are equally likely, will be adequate. ... Nunnikhoven 2 examined how well*the**simple*model*approximates*reality. ...##
###
Questions and Answers

1955
*
American Statistician
*

In others a seemingly

doi:10.1080/00031305.1955.10501126
fatcat:5kuywhigkbey5m46xfmhnmksiq
*simple*statement of*the**problem*conceals serious difficulties in*the*path of solving it. A good example of*the*first type is*the*so-called*birthday**problem*. ... A*simple*extension of*the*same type of argu- 499,924, 907/1,013,032,125 = 4935*approximately*. ...##
###
Page 1743 of Mathematical Reviews Vol. 48, Issue 5
[page]

1974
*
Mathematical Reviews
*

B. 10165 On

*the**approximate*solution of singular integral equa- tions. (Russian)*Problems*of applied mathematics—Musheliavili eightieth*birthday*collection. Sakharth. SSR Mecn. Akad. Gamothvl. Centr. ...*The**problem*is reduced to an initial value*problem**for**the*resolvent kernel and an auxiliary function, both of which are useful in*the*study of certain radiation*problems*. P. ...##
###
The reliability of single-error protected computer memories

1988
*
IEEE transactions on computers
*

*The*algebraic manipulations can be programmed on a computer,

*for*instance, by representing

*the*CF's using cubical complexes [2], [15] extended

*for*multiple values of

*the*constituent variables. ...

*The*technique described here can be used

*for*formal verification, since it transforms a network into a series of logic functions. ... By a chip "failure" we mean any

*approximation*, to a reasonably

*simple*

*formula*

*for*R s y s ( f ) and k r MTTF. ...

##
###
Controllability and Fault Observability in Modular Combinational Circuits

1978
*
IEEE transactions on computers
*

*The*algebraic manipulations can be programmed on a computer,

*for*instance, by representing

*the*CF's using cubical complexes [2], [15] extended

*for*multiple values of

*the*constituent variables. ...

*The*technique described here can be used

*for*formal verification, since it transforms a network into a series of logic functions. ... By a chip "failure" we mean any

*approximation*, to a reasonably

*simple*

*formula*

*for*R s y s ( f ) and k r MTTF. ...

##
###
Page 7772 of Mathematical Reviews Vol. , Issue 97M
[page]

1997
*
Mathematical Reviews
*

Composition schemes are then particularly helpful to obtain higher-order meth- ods while retaining

*the*properties of*simple*lower-order updating*formulas*. ... Normally, construct- ing low order numerical*formulas*that preserve*the*structure is often much easier than going directly*for*higher-order*formulas*that preserve*the*structure. ...##
###
Page 1544 of Mathematical Reviews Vol. 51, Issue 5
[page]

1976
*
Mathematical Reviews
*

This is a

*problem*of best*approximation*in*the*space H’ by elements of a (nonlinear) manifold. ... Aliev, Rafik M. 10968*The*convergence of a general cubature*formula**for*certain classes of functions, and an extremal*problem*. (Russian) Functional analysis and its application (Russian), pp. 14-21. ...##
###
Page 2488 of Mathematical Reviews Vol. , Issue 83f
[page]

1983
*
Mathematical Reviews
*

*The*

*approximate*

*formula*developed by Bowker was found to be good only

*for*large samples. An

*approximate*

*formula*is developed here which can be used

*for*both small and large samples.” ... Authors’ summary: “

*The*well-known

*birthday*

*problem*asks

*for*

*the*probability of at least one match out of a group of n people. ...

##
###
Page 2056 of Mathematical Reviews Vol. 51, Issue 6
[page]

1976
*
Mathematical Reviews
*

Various numerical methods have therefore been proposed to solve such

*problems*. In*the*present paper, a method of*approximation*is proposed. ... Continuum mechanics and related*problems*of analysis (on*the*occasion of*the*eightieth*birthday*of Academician N. I. Musheli§- vili) (Russian), pp. 597-604. Izdat. “Nauka”, Moscow, 1972. ...##
###
Page 648 of Mathematical Reviews Vol. 51, Issue 2
[page]

1976
*
Mathematical Reviews
*

In

*the*first part*the*author describes how to construct rational basis functions in order to solve*the**approximation**problem*“*for*a continuous function whose values are specified on*the*threads of a convex ...*The*author is concerned with this*problem*in*the*case in which*the*differentiation*formula*is derived from*the*n-point Lagrangian interpolation polynomial. ...
« Previous

*Showing results 1 — 15 out of 10,693 results*