Recursos de colección
Project Euclid (Hosted at Cornell University Library) (191.996 recursos)
Missouri Journal of Mathematical Sciences
Missouri Journal of Mathematical Sciences
Senapati, Tapan; Shum, K. P.
In this paper, by using the $t$-norm $T$ and $t$-conorm $S$, we introduce the intuitionistic
fuzzy bi-normed $KU$-subalgebras of
a $KU$-algebra. Some properties of intuitionistic fuzzy bi-normed $KU$-subalgebras of a
$KU$-algebra under the homomorphism are discussed.
The direct product and the $(T,S)$-product of intuitionistic fuzzy bi-normed
$KU$-subalgebras are particularly investigated.
Thivagar, M. Lellis; Kavitha, J.
This paper introduces nano resolvable spaces and nano irresolvable spaces. Also, a new form
of nano subspace topology is established. Several new characterizations of nano strongly irresolvable
spaces are found and precise relationships are noted between nano strongly irresolvability and nano
irresolvable space. Some weaker forms related to nano irresolvable are discussed. Also, comparisons
between them are given.
Lakshmivarahan, S.; Trung, N.; Ruddick, Barry
In this paper we analyze the properties of a pure water oscillator by
considering the pure water lake as a well mixed two layered system.
While there is heating of and evaporation from the shallow top layer,
the temperature of the deep bottom layer is assumed to be constant. By
exploiting the nonlinear dependence of the density of pure water on
temperature, we describe two complementary mathematical models to
capture the vertical instability resulting from the variation of the
density of the top layer with temperature.
Arar, Murad
In this paper we define strongly generalized neighborhood systems (in brief strongly $GNS$) and
study their properties. It's proved that every generalized topology $\mu$ on $X$ gives a unique strongly $GNS$
$\psi_{\mu}:X\rightarrow \exp{(\exp{X})}$. We prove that if a generalized topology $\mu$ is given, then
$\mu_{\psi_{\mu}}=\mu$; and if a strongly $GNS $ $\psi$ is given, then $\psi_{\mu_{\psi}}=\psi$.
Strongly $(\psi_{1},\psi_{2})$-continuity is defined. We prove that $f:X\rightarrow Y$ is
strongly $(\psi_{1},\psi_{2})$-continuous if and only if it is $(\mu_{\psi_{1}},\mu_{\psi_{2}})$-continuous.
Gompa, Raghu; Gompa, Vijaya L.
Several separation axioms on topological spaces are described between Kolmogorov and Fréchet
spaces as properties of the space at a particular point. After describing various equivalent descriptions,
implications are established. Various examples are studied in order to show that the implications are strict.
Bittner, Stephanie; Ducey, Joshua; Guo, Xuyi; Oh, Minah; Zweber, Adam
We compute the spectrum and Smith normal form of the incidence matrix of disjoint transversals, a
combinatorial object closely related to the $n$-dimensional case of Rota's basis conjecture.
Cullinan, John
Let $E$ be an elliptic curve defined over the real numbers $R$ and let $P \in E(R)$. In
this note we give an elementary proof of necessary and sufficient conditions for the preimages
of $P$ under duplication to be real-valued.
Chen, Hang; Cooper, Curtis
We intend to solve Sudoku puzzles using various rules based on the structures and
properties of the puzzle. In this paper, we shall present several structures related to either one
potential solution or two potential solutions.
Cannon, G. Alan; Glorioso, Vincent; Hall, Brad Bailey; Triche, Taylor
The center of a nearring $N$, in general, is not a subnearring of $N$. The center,
however, is contained in a related structure, the generalized center, which is always a subnearring.
We give three constructions of nearrings without multiplicative identity and characterize their centers
and generalized centers. We find that the centers of these nearrings are always subnearrings.
Creswell, Sam
Kainen, Paul C.
The (outer) planar coarseness of a graph is the largest number of
pairwise-edge-disjoint non-(outer)planar subgraphs. It is shown that the maximum
outerplanar coarseness, over all $n$-vertex planar graphs, lies in the interval
$\;\big [\lfloor (n-2)/3 \rfloor, \lfloor (n-2)/2 \rfloor \big ]$.
Bales, John W.
Although the Cayley-Dickson algebras are twisted group algebras, little
attention has been paid to the nature of the Cayley-Dickson twist. One reason is
that the twist appears to be highly chaotic and there are other interesting
things about the algebras to focus attention upon. However, if one uses a
doubling product for the algebras different from yet equivalent to the ones
commonly used, and if one uses a numbering of the basis vectors different from
the standard basis a quite beautiful and highly periodic twist emerges. This
leads easily to a simple closed form equation for the product of any two basis
vectors of a Cayley-Dickson algebra.
Granered, Nicholas; Bates Prins, Samantha C.
Regression trees are an alternative to classical linear regression models that
seek to fit a piecewise linear model to data. The structure of regression trees
makes them well-suited to the modeling of data containing outliers. We propose
an algorithm that takes advantage of this feature in order to automatically
detect outliers. This new algorithm performs well on the four test datasets
[7] that are considered to be necessary for a valid outlier
detection algorithm in a linear regression context, even though regression trees
lack the global linearity assumption. We also show the practical use of this
approach in detecting outliers in an ecological dataset collected in the
Shenandoah Valley.
Al-Rawashdeh, Waleed
Let $\psi$ be an entire self-map of the $n$-dimensional Euclidean complex space
$\mathbb{C}^n$ and $u$ be an entire function on $\mathbb{C}^n$. A weighted
composition operator induced by $\psi$ with weight $u$ is given by
$(uC_{\psi}f)(z)= u(z)f(\psi(z))$, for $z \in \mathbb{C}^n$ and $f$ is the
entire function on $\mathbb{C}^n$. In this paper, we study weighted composition
operators acting between generalized Fock-types spaces. We characterize the
boundedness and compactness of these operators act between
$\mathcal{F}_{\phi}^{p}(\mathbb{C}^n)$ and
$\mathcal{F}_{\phi}^{q}(\mathbb{C}^n)$ for $0\lt p, q\leq\infty$. Moreover, we
give estimates for the Fock-norm of $uC_{\psi}:
\mathcal{F}_{\phi}^{p}\rightarrow \mathcal{F}_{\phi}^{q}$ when $0\lt p, q\lt
\infty$, and also when $p=\infty$ and $0\lt q\lt \infty$.
Henthorn-Baker, Melanie
The following is a discussion regarding a specific class of operators acting on
the space of entire functions, denoted $H(\mathbb{C})$. A diagonal operator $D$ on $H(\mathbb{C})$
is defined to be a continuous linear map, sending $H(\mathbb{C})$ into $H(\mathbb{C})$, that has the
monomials $z^n$ as its eigenvectors and $\{\lambda_n\}$ as the corresponding
eigenvalues. A closed subspace $M$ is invariant for $D$ if $Df\in M$ for all
$f\in M$. The study of invariant subspaces is a popular topic in modern operator
theory. We observe that the closed linear span of the orbit, which we write
$\overline{\mbox{span}}\{D^kf:k\geq0\}=\overline{\mbox{span}}\{\sum^{\infty}_{n=0}a_n\lambda_n^kz^n:k\geq0\}$,
is the smallest closed invariant subspace for $D$ containing $f$. If every
invariant subspace for...
Hammett, Adam; Oman, Greg
Consider the following game: Player A chooses an integer $\alpha$ between $1$ and
$n$ for some integer $n\geq1$, but does not reveal $\alpha$ to Player B. Player B
then asks Player A a yes/no question about which number Player A chose, after
which Player A responds truthfully with either ``yes'' or ``no.'' After a
predetermined number $m$ of questions have been asked ($m\geq 1$), Player B must
attempt to guess the number chosen by Player A. Player B wins if she guesses
$\alpha$. The purpose of this note is to find, for every $m\geq 1$, all canonical
$m$-question algorithms which maximize the probability of Player B winning...
Al Shumrani, M. A.
A topological space $X$ is $\omega$-jointly metrizable if for every
countable collection of metrizable subspaces of $X$, there exists a metric on
$X$ which metrizes every member of this collection. Although the Sorgenfrey line
is not jointly partially metrizable, we prove that it is $\omega$-jointly
metrizable.
¶ We show that if $X$ is a regular first countable $T_{1}$-space such that $X$ is
the union of two subspaces one of which is separable and metrizable, and the
other is closed and discrete, then $X$ is $\omega$-jointly metrizable.
Qahis, Abdo; AlJarrah, Heyam Hussain; Noiri, Takashi
A hereditary class on a set $X$ is a nonempty collection of subsets of $X$ closed
under the hereditary property. In this paper, we define and study the notion of
Lindelöfness in generalized topological spaces with respect to a hereditary
class called, $\mu\mathcal{H}$-Lindelöf spaces and discuss their properties.
Miick, Tonja; Richmond, Tom
The well-known ``do dogs know calculus'' problem optimizes the travel time from
an onshore dog to an offshore stick, given different running and swimming speeds
and a straight coastline. Here, we optimize the travel time between two points
on the boundary of a rectangular swimming pool, assuming that running speed
along the edge differs from the swimming speed.