A Symposium on the Publication of Mathematical Literature

SIAM Review ◽  
1964 ◽  
Vol 6 (4) ◽  
pp. 431-454 ◽  
Author(s):  
I. E. Block ◽  
R. F. Drenick
Keyword(s):  
Mathematical Literature

Umbral Calculus

10.37236/24 ◽  
2002 ◽  
Vol 1000 ◽  
Author(s):  
A. Di Bucchianico ◽  
D. Loeb
Keyword(s):  
19Th Century ◽  
Finite Differences ◽  
State Of The Art ◽  
Umbral Calculus ◽  
Current State ◽  
Logical Foundation ◽  
Complete Bibliography ◽  
The 19Th Century ◽  
Mathematical Literature

We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite differences) from its roots in the 19th century (and earlier) as a set of “magic rules” for lowering and raising indices, through its rebirth in the 1970’s as Rota’s school set it on a firm logical foundation using operator methods, to the current state of the art with numerous generalizations and applications. The survey itself is complemented by a fairly complete bibliography (over 500 references) which we expect to update regularly.

scholarly journals Quasi cl-supercontinuous functions and their function spaces

2012 ◽  
Vol 45 (3) ◽  
Author(s):  
J. K. Kohli ◽  
Jeetendra Aggarwal
Keyword(s):  
Continuous Functions ◽  
Function Spaces ◽  
Strong Form ◽  
General Topology ◽  
Regular Space ◽  
Basic Properties ◽  
New Class ◽  
Mathematical Literature ◽  
Class Of Functions ◽  
Appl Math

AbstractA new class of functions called ‘quasi cl-supercontinuous functions’ is introduced. Basic properties of quasi cl-supercontinuous functions are studied and their place in the hierarchy of variants of continuity that already exist in the mathematical literature is elaborated. The notion of quasi cl-supercontinuity, in general, is independent of continuity but coincides with cl-supercontinuity (≡ clopen continuity) (Applied General Topology 8(2) (2007), 293–300; Indian J. Pure Appl. Math. 14(6) (1983), 767–772), a significantly strong form of continuity, if range is a regular space. The class of quasi cl-supercontinuous functions properly contains each of the classes of (i) quasi perfectly continuous functions and (ii) almost cl-supercontinuous functions; and is strictly contained in the class of quasi

scholarly journals Singular and Degenerate Boundary Value Problems Related to the Electricity Theory

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Maria-Magdalena Boureanu ◽  
Andaluzia Matei
Keyword(s):  
Sobolev Space ◽  
Mathematical Models ◽  
Existence And Uniqueness ◽  
Nonlinear Boundary ◽  
Weighted Sobolev Space ◽  
Nonlinear Boundary Conditions ◽  
Uniqueness Result ◽  
Physical Phenomena ◽  
Mathematical Literature ◽  
Weak Solvability

The present paper draws attention to the weak solvability of a class of singular and degenerate problems with nonlinear boundary conditions. These problems derive from the electricity theory serving as mathematical models for physical phenomena related to the anisotropic media with “perfect” insulators or “perfect” conductors points. By introducing an appropriate weighted Sobolev space to the mathematical literature, we establish an existence and uniqueness result.

DISTRIBUTIONS OF STRUCTURAL PROPERTIES FOR PERCOLATION CLUSTERS

Fractals ◽  
1995 ◽  
Vol 03 (03) ◽  
pp. 453-463 ◽  
Author(s):  
J.-P. HOVI ◽  
AMNON AHARONY
Keyword(s):  
Structural Properties ◽  
Distribution Functions ◽  
Tail Behavior ◽  
Minimal Path ◽  
Percolation Clusters ◽  
Probability Densities ◽  
Path Lengths ◽  
The Masses ◽  
Self Avoiding Walk ◽  
Mathematical Literature

The distributions of structural properties, which span between two terminals on percolation clusters, are studied using the “H-cell” renormalization group (RG). The RG iteration for these distributions is directly related to a simple Galton-Watson branching process, and we therefore apply theorems developed in the mathematical literature to obtain exact expressions for the asymptotic distribution functions. Distributions of the minimal path lengths, average edge-to-edge self-avoiding walk lengths, and of the masses of percolation clusters are found, and we derive exact exponential forms for the asymptotic tail behavior of the scaled probability densities at both small and large arguments. We also find new results for the multifractal distribution of wave functions on these clusters.

A Supplementary Project in Functional Graphs

1926 ◽  
Vol 19 (3) ◽  
pp. 174-178
Author(s):  
J. S. Georges
Keyword(s):  
Special Interest ◽  
Mathematical Knowledge ◽  
Research Work ◽  
Mathematical Ability ◽  
Future Research ◽  
Text Book ◽  
The Subject ◽  
Mathematical Literature ◽  
Independent Thinking

A supplementary project in Mathematics may be used effectively as a means of inspiring those students who display mathematical ability and show special interest in the subject, and of interesting those who take Mathematics as a required subject, but have not developed any particular interest in it. It offers to the latter a glimpse into the more pleasant aspects of the subject not ordinarily included in a text book, and to the former it opens new channels of mathematical interest, creates a desire for the acquisition of further and more extensive mathematical knowledge. The student who voluntarily, or at the suggestion of his instructor, undertakes to do a supplementary project in connection with his classroom work, is offered a splendid opportunity for the formation of the habit of independent thinking, and for acquiring the ability of reading comprehensively mathematical literature. Under proper guidance he lays the foundation for future research work.

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