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Готові списки джерел за темами / Bashkirskai︠a︡ A.S.S.R. (R.S.F.S.R.) / Статті в журналах

Статті в журналах з теми "Bashkirskai︠a︡ A.S.S.R. (R.S.F.S.R.)"

Щоб переглянути інші типи публікацій з цієї теми, перейдіть за посиланням: Bashkirskai︠a︡ A.S.S.R. (R.S.F.S.R.).

Автор: Grafiati

Опубліковано: 27 липня 2024

Оновлено: 28 липня 2024

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1

Mente, Nolan R., Andrew J. Wiemer, Jeffrey D. Neighbors, John A. Beutler, Raymond J. Hohl, and David F. Wiemer. "Total synthesis of (R,R,R)- and (S,S,S)-schweinfurthin F: Differences of bioactivity in the enantiomeric series." Bioorganic & Medicinal Chemistry Letters 17, no. 4 (February 2007): 911–15. http://dx.doi.org/10.1016/j.bmcl.2006.11.096.

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2

Prischepa, Serghej L., Carla Cirillo, Carmine Attanasio, Antonio Vecchione, Vasilij N. Kushnir, Chris Bell, Jan Aarts, and Mikhail Yu Kupriyanov. "Resistive Transitions in S/F/S Trilayers." Solid State Phenomena 152-153 (April 2009): 478–81. http://dx.doi.org/10.4028/www.scientific.net/ssp.152-153.478.

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The phase transition of Nb/Cu0.41Ni0.59/Nb triple layers from the normal to the superconducting state has been studied experimentally by measuring the temperature dependence of the electrical resistance, R(T). It is shown that the shape of the R(T) curves is different depending on the Cu0.41Ni0.59 thickness. To explain the experimental data we developed a qualitative model which makes more evident the interconnection between the superconducting phase transition and the 0 to  crossover in SFS structures.

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3

Tietz, Hubert, and Rolf Trautner. "Tauber-S�tze f�r Potenzreihenverfahren." Archiv der Mathematik 50, no. 2 (February 1988): 164–74. http://dx.doi.org/10.1007/bf01194575.

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4

Magill, K. D. "The primes of S(R)." Bulletin of the Australian Mathematical Society 44, no. 3 (December 1991): 417–27. http://dx.doi.org/10.1017/s0004972700029920.

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S(R) is the semigroup, under composition, of all continuous selfmaps of the space R of real numbers. We show that the primes of S(R) are precisely those continuous selfmaps which are surjective and have exactly two local extrema. Additional results are then derived from this. For example, if f is any surjective continuous selfmap of R with n ≥ 2 local extrema, then there exist homeomorphisms from R onto R such that m ≤ 1 + n/2 andwhere P is the polynomial defined by P(x) = x3 − x. It follows from this that the homeomorphisms together with the polynomial P generate a dense subsemigroup of S(R) where the topology on S(R) is the compact-open topology.

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5

Langmann, Klaus. "Endlichkeits- und Picard-S�tze f�r quasiprojektive R�ume." Mathematische Zeitschrift 197, no. 4 (December 1988): 483–504. http://dx.doi.org/10.1007/bf01159808.

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6

Djibril Diallo, Abdoul, Papa Cheikhou Diop, and Mamadou Barry. "On S-quasi-Dedekind Modules." Journal of Mathematics Research 9, no. 5 (September 20, 2017): 97. http://dx.doi.org/10.5539/jmr.v9n5p97.

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Анотація:

Let $R$ be a commutative ring and $M$ an unital $R$-module. A proper submodule $L$ of $M$ is called primary submodule of $M$, if $rm\in L$, where $r\in R$, $m\in M$, then $m\in L$ or $r^{n}M\subseteq L$ for some positive integer $n$. A submodule $K$ of $M$ is called semi-small submodule of $M$ if, $K+L\neq M$ for each primary submodule $L$ of $M$. An $R$-module $M$ is called S-quasi-Dedekind module if, for each $f\in End_{R}(M),$ $ f\neq 0$ implies $Kerf$ semi-small in $M$. In this paper we introduce the concept of S-quasi-Dedekind modules as a generalisation of small quasi-Dedekind modules, and gives some of their properties, characterizations and exemples. Another hand we study the relationships of S-quasi-Dedekind modules with some classes of modules and their endomorphism rings.

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7

Yu, Yong, and Guizhen Liu. "[r, s, t; f]-COLORING OF GRAPHS." Journal of the Korean Mathematical Society 48, no. 1 (January 1, 2011): 105–15. http://dx.doi.org/10.4134/jkms.2011.48.1.105.

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8

Murchison, Duncan. "OBITUARY: THOMAS STANLEY WESTOLL, F. R. S." Proceedings of the Yorkshire Geological Society 51, no. 1 (June 1996): 80–81. http://dx.doi.org/10.1144/pygs.51.1.80.

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9

Abarbanel, Joseph, and Shmuel Rosset. "The Schur multiplier of F/[R,S]." Journal of Pure and Applied Algebra 198, no. 1-3 (June 2005): 1–8. http://dx.doi.org/10.1016/j.jpaa.2004.11.011.

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10

KULKARNI, MADHURI G., and AKANKSHA S. KASHIKAR. "SIGNATURE AND RELIABILITY OF CONDITIONAL THREE-DIMENSIONAL CONSECUTIVE-(s, s, s)-OUT-OF-(s, s, m):F SYSTEM." International Journal of Reliability, Quality and Safety Engineering 21, no. 02 (April 2014): 1450009. http://dx.doi.org/10.1142/s0218539314500090.

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Анотація:

A three-dimensional consecutive (r1, r2, r3)-out-of-(m1, m2, m3):F system was introduced by Akiba et al. [J. Qual. Mainten. Eng.11(3) (2005) 254–266]. They computed upper and lower bounds on the reliability of this system. Habib et al. [Appl. Math. Model.34 (2010) 531–538] introduced a conditional type of two-dimensional consecutive-(r, s)-out-of-(m, n):F system, where the number of failed components in the system at the moment of system failure cannot be more than 2rs. We extend this concept to three dimension and introduce a conditional three-dimensional consecutive (s, s, s)-out-of-(s, s, m):F system. It is an arrangement of ms2 components like a cuboid and it fails if it contains either a cube of failed components of size (s, s, s) or 2s3 failed components. We derive an expression for the signature of this system and also obtain reliability of this system using system signature.

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11

Кусраева, З. А., and C. Н. Сиукаев. "Some Properties of Orthogonally Additive Homogeneous Polynomials on Banach Lattices." Владикавказский математический журнал, no. 4() (December 22, 2020): 92–103. http://dx.doi.org/10.46698/d4799-1202-6732-b.

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Пусть $E$ и $F$ - банаховы решетки, а $\mathcal{P}_o({}^s\!E,F)$ и $\mathcal{P}_o^r({}^s\!E,F)$ обозначают соответственно пространства непрерывных и регулярных ортогонально аддитивных $s$-однородных полиномов, действующих между банаховыми решетками $E$ и $F$. Основные результаты статьи таковы.\\ \teorema{ 3.4}Пусть $s\in\mathbb{N}$ and $(E,\|\cdot\|)$ - порядково $\sigma$-полная $s$-выпуклая банахова решетка. Равносильны следующие утверждения: $(1)$ $\mathcal{P}_o({}^s\!E,F)\equiv\mathcal{P}_o^r({}^s\!E,F)$ для любого $AM$-пространства $F$; $(2)$ $\mathcal{P}_o({}^s\!E,c_0)=\mathcal{P}^r_o({}^s\!E,F)$ для любого $AM$-пространства $F$; $(3)$ $\mathcal{P}_o({}^s\!E,c_0)=\mathcal{P}^r_o({}^s\!E,c_0)$; $(4)$ $\mathcal{P}_o({}^s\!E,c_0)\equiv\mathcal{P}_o^r({}^s\!E,c_0)$; $(5)$ $E$ дискретна и порядково непрерывна.\Endproc\\ \teorema{ 4.3}Пусть $E$ и $F$ - банаховы решетки, причем $E$ $s$-выпукла для некоторого натурального $s\in\mathbb{N}$. Тогда равносильны следующие утверждения: $(1)$ $\mathcal{P}_o^r({}^s\!E,F)$ - векторная решетка и регулярная норма. $\|\cdot\|_r$ on $\mathcal{P}_o^r({}^s\!E,F)$ на ней порядково непрерывна. $(2)$ Каждый положительный $s$-однородный ортогонально аддитивный полином из $E$ в $F$ является $L$- и $M$-слабо компактным. \Endproc\\ \teorema{ 4.6}Пусть $E$ и $F$ - банаховы решетки, причем $F$ обладает положительным свойством Шура, а $E$ $s$-выпукла для некоторого $s\in\mathbb{N}$. Тогда равносильны утверждения: $(1)$ $(\mathcal{P}_o^r({}^s\!E,F),\|\cdot\|_r)$ является $K\!B$-пространством. $(2)$ Регулярная норма $\|\cdot\|_r$ пространства $\mathcal{P}_o^r({}^s\!E,F)$ порядково непрерывна. $(3)$ $E$ не содержит подрешеток, изоморфных $l^s$.\Endproc

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12

de Sá-Martins, R., A. Cleiton-José, JM Rocha-Faria, and LA de Melo. "E F F E C T O F WAT E R A N D S A LT S T R E S S O N S E E D S GERMINATION AND VIGOR OF DIFFERENT EUCALYPTUS SPECIES." JOURNAL OF TROPICAL FOREST SCIENCE 31, no. 1 (February 1, 2019): 12–18. http://dx.doi.org/10.26525/jtfs2019.31.1.012018.

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13

Sun, Wei, Ru-Long Xie, and Liang-Yu Xu. "Oscillatory hyper-Hilbert transform on Wiener amalgam spaces." Open Mathematics 19, no. 1 (January 1, 2021): 1579–87. http://dx.doi.org/10.1515/math-2021-0106.

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Анотація:

Abstract We study the boundedness of the oscillatory integral T α , β f ( x , y ) = ∫ Q 2 f ( x − γ 1 ( t ) , y − γ 2 ( s ) ) e − 2 π i t − β 1 s − β 2 t − α 1 − 1 s − α 2 − 1 d t d s {T}_{\alpha ,\beta }f\left(x,y)=\mathop{\int }\limits_{{Q}^{2}}f\left(x-{\gamma }_{1}\left(t),y-{\gamma }_{2}\left(s)){e}^{-2\pi i{t}^{-{\beta }_{1}}{s}^{-{\beta }_{2}}}{t}^{{-\alpha }_{1}-1}{s}^{-{\alpha }_{2}-1}{\rm{d}}t{\rm{d}}s on Wiener amalgam spaces, where Q 2 = [ 0 , 1 ] × [ 0 , 1 ] {Q}^{2}=\left[0,1]\times \left[0,1] is the unit square in two dimensions, ( x , y ) ∈ R n × R m , γ 1 ( t ) = ( t p 1 , t p 2 , … , t p n ) , γ 2 ( s ) = ( s q 1 , s q 2 , … , s q m ) \left(x,y)\in {{\mathbb{R}}}^{n}\times {{\mathbb{R}}}^{m},{\gamma }_{1}\left(t)=\left({t}^{{p}_{1}},{t}^{{p}_{2}},\ldots ,{t}^{{p}_{n}}),{\gamma }_{2}\left(s)=\left({s}^{{q}_{1}},{s}^{{q}_{2}},\ldots ,{s}^{{q}_{m}}) are homogeneous curves on R n {{\mathbb{R}}}^{n} and R m {{\mathbb{R}}}^{m} .

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14

Brešar, Matej. "On skew-commuting mappings of rings." Bulletin of the Australian Mathematical Society 47, no. 2 (April 1993): 291–96. http://dx.doi.org/10.1017/s0004972700012521.

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A mapping f of a ring R into itself is called skew-commuting on a subset S of R if f(s)s + sf(s) = 0 for all s ∈ S. We prove two theorems which show that under rather mild assumptions a nonzero additive mapping cannot have this property. The first theorem asserts that if R is a prime ring of characteristic not 2, and f: R → R is an additive mapping which is skew-commuting on an ideal I of R, then f(I) = 0. The second theorem states that zero is the only additive mapping which is skew-commuting on a 2-torsion free semiprime ring.

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15

Bhakta, Mousomi, Souptik Chakraborty, Olimpio H. Miyagaki, and Patrizia Pucci. "Fractional elliptic systems with critical nonlinearities." Nonlinearity 34, no. 11 (September 28, 2021): 7540–73. http://dx.doi.org/10.1088/1361-6544/ac24e5.

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Abstract This paper deals with existence, uniqueness and multiplicity of positive solutions to the following nonlocal system of equations: }0\quad \text{in}\hspace{2pt}{\mathbb{R}}^{N},\end{aligned}\right.\qquad \qquad \qquad \qquad (\mathcal{S})\end{equation*}?> ( − Δ ) s u = α 2 s * | u | α − 2 u | v | β + f ( x ) in R N , ( − Δ ) s v = β 2 s * | v | β − 2 v | u | α + g ( x ) in R N , u , v > 0 in R N , ( S ) where 0 < s < 1, N > 2s, α, β > 1, α + β = 2N/(N − 2s), and f, g are nonnegative functionals in the dual space of H ˙ s ( R N ) , i.e., 〈 ( H ˙ s ) ′ f , u 〉 H ˙ s ⩾ 0 , whenever u is a nonnegative function in H ˙ s ( R N ) . When f = 0 = g, we show that the ground state solution of ( S ) is unique. On the other hand, when f and g are nontrivial nonnegative functionals with ker(f) = ker(g), then we establish the existence of at least two different positive solutions of ( S ) provided that ‖ f ‖ ( H ˙ s ) ′ and ‖ g ‖ ( H ˙ s ) ′ are small enough. Moreover, we also provide a global compactness result, which gives a complete description of the Palais–Smale sequences of the above system.

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16

Moreno-Frías, María Ángeles, and José Carlos Rosales. "Ratio-Covarieties of Numerical Semigroups." Axioms 13, no. 3 (March 14, 2024): 193. http://dx.doi.org/10.3390/axioms13030193.

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In this work, we will introduce the concept of ratio-covariety, as a family R of numerical semigroups that has a minimum, denoted by min(R), is closed under intersection, and if S∈R and S≠min(R), then S\{r(S)}∈R, where r(S) denotes the ratio of S. The notion of ratio-covariety will allow us to: (1) describe an algorithmic procedure to compute R; (2) prove the existence of the smallest element of R that contains a set of positive integers; and (3) talk about the smallest ratio-covariety that contains a finite set of numerical semigroups. In addition, in this paper we will apply the previous results to the study of the ratio-covariety R(F,m)={S∣S is a numerical semigroup with Frobenius number F and multiplicitym}.

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17

Marongiu, Sophia. ""Det blir ett totalt utanförskap" - könsperpektiv på kvinnors karriärutveckling." Tidskrift för genusvetenskap 17, no. 2 (June 20, 2022): 41–50. http://dx.doi.org/10.55870/tgv.v17i2.4735.

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T h e p u r p o s e of t h e p r o j e c t in this p a p e r is t o study w o m e n ' s c a r e e r d e v e l o p m e n t in o r d e r to e l u c i d a t e obstacles as well as a d v a n t a g e s f r o m a g e n d e r perspective. "Women in m a n a g e n t " s t u d i e s have so f a r mostly c o n c e n t r a t e d o n w o m e n already in a leadi n g p o s i t i o n . T h e p r o b l em is, however, that these women have very little t o say a b o u t why t h e numb e r of w o m e n in l e a d i n g p o s i t i o n is so small. For this reason I have concentrated on following the c a r e e r d e v e l o p m e n t of a g r o u p of w o m e n working o n lower levels of a big, d e c e n t r a l i s e d g o v e r m e n t a l o r g a n i s a t i o n . Some of t h e women have clear c a r e e r a m b i t i o n s ; they want to be p r o m o t e d and gain l e a d i n g positions, o t h e r s have not s t a t e d any personal i n t e r e s t in p u r s u i n g a career. T h e study conc e n t r a t e s on i n t e r a c t i o n a n d intrapsychological as well as s t r u c t u r a l m o d e l s of analysis a r e used. My h y p o t h e s i s is t h a t t h e c u l t u r a l r e p r e s e n t a t i o n s of f e m i n i n i t y a n d those of l e a d e r s h i p are diverg e n t , a fact w h i c h compels w o m e n to use specific s t r a t e g i e s in o r d e r to r e c o n c i l e g e n d e r identity with that of a leader. Since this article is a work-in-progess-report the r e u l t s I p r e s e n t a r e only p r e l i m i n a r y . It is possible, however, t o i d e n u f y at least two significant strategies. O n e c o u l d b e c a l l e d a g e n d e r - n e u t r a l strategy, wher e t h e s i g n i f i c a n c e of g e n d e r in l e a d e r s h i p is d e n i - e d a l t o g e t h e r . T h e o t h e r strategy is to emphasis e specific f e m a l e q u a l i t i e s as a tool to b e u s e d in ord e r t o c h a n g e t h e p r e v a i l i n g m a l e n o r m c o n n e c t e d with l e a d e r s h i p . T h e q u e s t i o n is w h e t h e r t h e organ i s a t i o n is p r e p a r e d to invest in t h o s e w o m e n who see themselves as p o t e n t i a l t r a n s f o r m e r s of tradit i o n a l male values. In a follow-up study I am g o i n g t o s c r u t i n i s e t h e s e l e c t i o n process in t h e oraganisat i o n in o r d e r to see which w o m e n are c h o s e n for l e a d i n g p o s i t i o n s in t h e f u t u r e .

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18

Bişgin, Mustafa Cemil. "Almost convergent sequence spaces derived by the domain of quadruple band matrix." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19, no. 1 (December 1, 2020): 155–70. http://dx.doi.org/10.2478/aupcsm-2020-0012.

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Анотація:

AbstractIn this work, we construct the sequence spaces f(Q(r, s, t, u)), f0(Q(r, s, t, u)) and fs(Q(r, s, t, u)), where Q(r, s, t, u) is quadruple band matrix which generalizes the matrices Δ3, B(r, s, t), Δ2, B(r, s) and Δ, where Δ3, B(r, s, t), Δ2, B(r, s) and Δ are called third order difference, triple band, second order difference, double band and difference matrix, respectively. Also, we prove that these spaces are BK-spaces and are linearly isomorphic to the sequence spaces f, f0 and fs, respectively. Moreover, we give the Schauder basis and β, γ-duals of those spaces. Lastly, we characterize some matrix classes related to those spaces.

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19

Song, Hua Lin, and Takeji Abe. "Quantitative Description of Microscopic Plastic Deformation of Polycrystalline Aluminum Using Laser-Scanning Microscope." Key Engineering Materials 340-341 (June 2007): 803–10. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.803.

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Анотація:

The mi c ros copi c pl as t i c de format ion behavior of pol yc r ys t al l ine aluminum shee t dur ing uni axi al t ens ion i s exper iment al l y inves t iga t ed b y a confoc al l a s e r - s canning mi c ros cope. The gr ain rot at ion i s me asur ed f rom images of spec imen sur fa c e be fore and a f t e r deformat ion i s propos ed. Digi t al image proc es s ing t e chnique i s appl i ed to the sur f a c e gr ain image t aken by the CCD c ame ra . The exper iment al dat a obt ained f rom man y gr a ins a re s t a t i c al l y proce s s ed. I t i s shown that the gr ain rot at ion i s l a rge when the shape of gr ain i s clos e to a ci r cl e. Di s cus s ions a r e made on the r el at ion be twe en gra in rot at ion, s t ra ins of gr ains and va r ious f a ctor s af f e ct ing them, such as gr ain s i z e, gra in shape and s l ip- l ine angl e.

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20

Yamashita, Shinji. "Blaschke-type maps and harmonic majoration on Riemann surfaces." Bulletin of the Australian Mathematical Society 32, no. 2 (October 1985): 195–205. http://dx.doi.org/10.1017/s0004972700009898.

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Анотація:

An analytic map h of type Bl from a Riemann surface R into another S, both having Greens functions, behaves well near the “boundaryr” of R. Let X stand for a family of holomorphic functions, and let f be holomorphic on S. We shall show, for several X′s, the following:(i) f ∈ X(S) ⇔ foh ⇔ X(R);‖foh‖ = ‖f‖.Use is made of harmonic majoration of subharmonic functions on R and on S.

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21

ND, Matojo. "A Comprehensive Key for Identification of the “Swarming Conehead” Ruspolia Differens Serville, 1838 (Orthoptera: Tettigoniidae) Occurring in the Afro - Tropical Region." International Journal of Zoology and Animal Biology 3, no. 1 (2020): 1–4. http://dx.doi.org/10.23880/izab-16000200.

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Анотація:

This work reviewed t h e behavioural, morphological and molecular characteristics of the lo n g - h o rned g r a ss h opp e r R u s po l i a d i f f e r e n s S e r v i l le or “ s en en e ” i n S wa h i li name ( O r t h op t e ra T e t t i g o n ii da e ), as apparent in literature. On that basis, the work has generated a comprehensive key for identification of this species. As widely known, this insect native to Afro - tropical region where it is widely edible and it ha s a characteristic s w a rm i n g behaviour that strikingly occurs during rainy season. Also, it has c o l ou r polymorphism with a total of six key sympatric colour forms, sex d i m o r p hi sm with m al e s possessing longer antennae and a u n i q u e pair o f active tongue - like m e t a t h o r a c i c f l a p s whereas the females have a corresponding pair of vestigial metathoracic nodules. Furthermore, t he species has a pair of distinct subequal black markings on the mid and hind tibia near the knee joint and a white inter - ocular oval mark that appears like a s imple eye. Its sister species which is Ruspolia nitidula S c o p o l i as verified by molecular phylogenetics i s e xc l u s i v e l y s ol i t a r y , mostly g r e en i sh an d P a l ea rc t i c r an g i n g i n A s i a , E u r op e a n d N o r t h e r n A f r i c a. Since swarming behaviour is a foremost diagnostic feature differentiating R. differens from other coneheads, it is worthwhile to demarcate the species with a common name “Swarming Conehead” adding to the existed names.

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22

Beasley, LeRoy. "(0,1)-matrices and Discrepancy." Electronic Journal of Linear Algebra 37 (November 18, 2021): 692–97. http://dx.doi.org/10.13001/ela.2021.5033.

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Let $m$ and $n$ be positive integers, and let $R =(r_1, \ldots, r_m)$ and $S =(s_1,\ldots, s_n)$ be nonnegative integral vectors. Let $A(R,S)$ be the set of all $m \times n$ $(0,1)$-matrices with row sum vector $R$ and column vector $S$. Let $R$ and $S$ be nonincreasing, and let $F(R)$ be the $m \times n$ $(0,1)$-matrix where for each $i$, the $i^{th}$ row of $F(R,S)$ consists of $r_i$ 1's followed by $n-r_i$ 0's. Let $A\in A(R,S)$. The discrepancy of A, $disc(A)$, is the number of positions in which $F(R)$ has a 1 and $A$ has a 0. In this paper, we investigate the possible discrepancy of $A^t$ versus the discrepancy of $A$. We show that if the discrepancy of $A$ is $\ell$, then the discrepancy of the transpose of $A$ is at least $\frac{\ell}{2}$ and at most $2\ell$. These bounds are tight.

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23

Ferahtia, N., and S. E. Allaoui. "A generalization of a localization property of Besov spaces." Carpathian Mathematical Publications 10, no. 1 (July 3, 2018): 71–78. http://dx.doi.org/10.15330/cmp.10.1.71-78.

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The notion of a localization property of Besov spaces is introduced by G. Bourdaud, where he has provided that the Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$, with $s\in\mathbb{R}$ and $p,q\in[1,+\infty]$ such that $p\neq q$, are not localizable in the $\ell^{p}$ norm. Further, he has provided that the Besov spaces $B^{s}_{p,q}$ are embedded into localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ (i.e., $B^{s}_{p,q}\hookrightarrow(B^{s}_{p,q})_{\ell^{p}},$ for $p\geq q$). Also, he has provided that the localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ are embedded into the Besov spaces $B^{s}_{p,q}$ (i.e., $(B^{s}_{p,q})_{\ell^{p}}\hookrightarrow B^{s}_{p,q},$ for $p\leq q$). In particular, $B_{p,p}^{s}$ is localizable in the $\ell^{p}$ norm, where $\ell^{p}$ is the space of sequences $(a_{k})_{k}$ such that $\|(a_{k})\|_{\ell^{p}}<\infty$. In this paper, we generalize the Bourdaud theorem of a localization property of Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$ on the $\ell^{r}$ space, where $r\in[1,+\infty]$. More precisely, we show that any Besov space $B^{s}_{p,q}$ is embedded into the localized Besov space $(B^{s}_{p,q})_{\ell^{r}}$ (i.e., $B^{s}_{p,q}\hookrightarrow(B^{s}_{p,q})_{\ell^{r}},$ for $r\geq\max(p,q)$). Also we show that any localized Besov space $(B^{s}_{p,q})_{\ell^{r}}$ is embedded into the Besov space $B^{s}_{p,q}$ (i.e., $(B^{s}_{p,q})_{\ell^{r}}\hookrightarrow B^{s}_{p,q},$ for $r\leq\min(p,q)$). Finally, we show that the Lizorkin-Triebel spaces $F^{s}_{p,q}(\mathbb{R}^{n})$, where $s\in\mathbb{R}$ and $p\in[1,+\infty)$ and $q\in[1,+\infty]$ are localizable in the $\ell^{p}$ norm (i.e., $F^{s}_{p,q}=(F^{s}_{p,q})_{\ell^{p}}$).

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24

Sjöberg, Katarina. "Variationsrikedomen stor i hawaiiansk samlevnad." Tidskrift för genusvetenskap 16, no. 4 (June 20, 2022): 56–65. http://dx.doi.org/10.55870/tgv.v16i4.4783.

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This a r t i d e deals with male a n d f e m a l e sex and g e n d e r roles in a native Hawaiian c o n t e x t , f o c u s i n g p a r t i c u l a r l y o n lesbians. T h e a r t i c l e ' s p o i n t of dep a r t u r e is t h a t it is t h e individual w h o d e c i d e s the n o r m s and rules for h i s / h e r sexual and social b e h a v i o u r , implying an inequadecy with models where t h e focus is o n d i f f e r e n t "cultural" a n d "societal" f o r m s f o r m o d e l l i n g such behaviour. O n e imp o r t a n t aspect, o f t e n n e g l e c t e d in studies d e a l i n g with such questions, c o n n e c t s to the way p e o p l e actually feel a n d how this is p r a c t i s e d on a lifebasis. Focusing o n varieties in sex a n d g e n d e r role m o d e l l i n g , s e p a r a t i n g social roles a n d sexual identities, a n d allowing p e o p l e to a p p e a r in t h e c o n t e x t that they live in, makes it possible to e x p l o r e t h e i r ideas c o n c e r n i n g sexual i d e n t i t i e s a n d social roles. I n addition, this perspective also allows f o r an u n d e r s t a n d i n g of t h e c o n n e c t i o n p e o p l e make between sexual a n d social b e h a v i o u r m o r e generally. Against this b a c k g r o u n d , the a r t i d e discusses q u e s t i o n s c o n c e r n i n g the p r e s e n t use of t h e concept of h o m o s e x u a l i t y a m o n g i n t e l l e c t u a l s a n d scientists. T h e material f r om the Big Island, Hawaii implies t h a t ideas a b o u t sexual i d e n t i t i e s a n d social r o l e s a r e r o o t e d in beliefs b u i l d i n g o n assumptions that p e o p l e who live t o g e t h e r / h a v e sex with one a n o t h e r , take o n d i f f e r e n t sexual i d e n t i t i e s a n d social roles, r e g a r d l e s s of biological sex. This way of p e r c e i v i n g sex a n d g e n d e r role m o d e l l i n g can be seen as r o o t e d in a t r a d i t i o n where t h e a c c e p t a n c e of sexual a n d social varieties is h i g h , giving p e o p l e o p p o r t u n i t i e s to act a n d p e r f o rm a c c o r d i n g to feelings as an a c c e p t e d alternative to t h e n o r m s and vallies s t i p u l a t e d by t h e society they live in.

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25

Lin, Daming, and Ming J. Zuo. "RELIABILITY EVALUATION OF A LINEAR k-WITHIN-(r,s)-OUT-OF-(m,n):F LATTICE SYSTEM." Probability in the Engineering and Informational Sciences 14, no. 4 (October 2000): 435–43. http://dx.doi.org/10.1017/s0269964800144031.

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The linear k-within-(r, s)-out-of-(m, n):F lattice system consists of mn components arranged in m rows and n columns and fails whenever there is at least one rectangle of dimension r × s which contains k or more failed components. We propose recursive formulas for the calculation of the linear k-within-(r, s)-out-of-(m, n):F lattice system. The computing complexity of the system reliability using the recursive formulas is O((n − s)ms+1 + m2s) for r = m and O((r + 1)rs(m−r+1)[(n − s)m + 2r(s−1)ms]) for r < m.

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26

Yaraman, Aybeg�l. "Turquie�: r�alit�s du f�minisme, ambigu�t�s du k�malisme." Apr�s-demain N�1,NF, no. 1 (2007): 16. http://dx.doi.org/10.3917/apdem.001.0016.

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27

El Asri, Farid, and Beatriz Mesa. "Extrémisme(s) violent(s) en perspective: jeunes et femmes dans le contexte marocain." EDUCATIONAL REFLECTIVE PRACTICES, no. 1 (October 2021): 139–58. http://dx.doi.org/10.3280/erp1-special-2021oa12482.

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Анотація:

Dix ans après un processus de soulèvement connu en tant que «printemps arabes», un chemin s'est ouvert à la faveur d'une structure de contre-pouvoir faite de violence politique ("Daech"[1]). De nouvelles réalités ont ainsi été observées dans le domaine de la violence et mettent en perspective les travaux scientifiques et les plus récentes recherches de terrain en la matière. Un des biais concerne les focus portants sur la présence contrastées des femmes dans le volet de la violence et de la non-violence. Les femmes sont ainsi étudiées en tant que productrices de violences symboliques, discursives ou effectives et tout autant comme leaders dans la résolution des conflits et dans la promotion du Peacebuilding et les voies de résilience. La présence de la mouvance "Daech" a ainsi révélé, en tant que liquide de contraste, le rôle qu'occupent les femmes dans des processus antagonistes de production de violence ou de lutte contre les diverses formes de violences. Cette double attention permet de clarifier, en premier lieu, les logiques de basculement dans l'extrémisme violent des femmes et de comprendre, dans second lieu, comment renforcer la capacitation du leadership féminin à la médiation, à la consolidation et au renforcement des compétences, ainsi qu'à l'empowerment féminin sur ces questions sociétales urgentes et fondamentales. Nous constatons, au travers de l'approche genre et générationnelle, que l'existence de cette mouvance a révélé une complexité de motifs d'enrôlement de toute une jeunesse marquée par la précarité, le déracinement social et par le sentiment d'opposition aux systèmes autoritaires et qui les a amenés à croire à un processus de «révolution» percolant vers l'intégration dans les rangs de l'extrémisme religieux. En ce sens, une série de mises en perspective  permettent de déconstruire des idées reçues et  ciblant le moteur idéologique de cette mouvance autant que la mobilisation du référentiel religieux comme source de mobilisation déterminantes des personnes ciblées depuis le contexte marocain. [1] Acronymie usité depuis 2013 pour "État islamique en Irak et au Levant" en arabe : ?????? ????????? ?? ?????? ?????? : ad-dawla al-islamiyya fi-l-?iraq wa-š-šam.

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28

HESSE, KERSTIN, and Q. T. LE GIA. "LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE." Bulletin of the Australian Mathematical Society 77, no. 2 (April 2008): 197–224. http://dx.doi.org/10.1017/s0004972708000087.

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AbstractIn this paper we derive local error estimates for radial basis function interpolation on the unit sphere $\mathbb {S}^2\subset \mathbb {R}^3$. More precisely, we consider radial basis function interpolation based on data on a (global or local) point set $X\subset \mathbb {S}^2$ for functions in the Sobolev space $H^s(\mathbb {S}^2)$ with norm $\|\cdot \|_s$, where s>1. The zonal positive definite continuous kernel ϕ, which defines the radial basis function, is chosen such that its native space can be identified with $H^s(\mathbb {S}^2)$. Under these assumptions we derive a local estimate for the uniform error on a spherical cap S(z;r): the radial basis function interpolant ΛXf of $f\in H^s(\mathbb {S}^2)$ satisfies $\sup _{\mathbf {x}\in S(\mathbf {z};r)} |f(\mathbf {x})-\Lambda _X f(\mathbf {x})| \leq c h^{(s-1)/2} \|f\|_{s}$, where h=hX,S(z;r) is the local mesh norm of the point set X with respect to the spherical cap S(z;r). Our proof is intrinsic to the sphere, and makes use of the Videnskii inequality. A numerical test illustrates the theoretical result.

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29

Le Merdy, Christian, and Anna Skripka. "HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS." Journal of the Institute of Mathematics of Jussieu 19, no. 6 (February 13, 2019): 1993–2016. http://dx.doi.org/10.1017/s1474748019000033.

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We establish the following results on higher order ${\mathcal{S}}^{p}$-differentiability, $1<p<\infty$, of the operator function arising from a continuous scalar function $f$ and self-adjoint operators defined on a fixed separable Hilbert space:(i)$f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable at every bounded self-adjoint operator if and only if $f\in C^{n}(\mathbb{R})$;(ii)if $f^{\prime },\ldots ,f^{(n-1)}\in C_{b}(\mathbb{R})$ and $f^{(n)}\in C_{0}(\mathbb{R})$, then $f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable at every self-adjoint operator;(iii)if $f^{\prime },\ldots ,f^{(n)}\in C_{b}(\mathbb{R})$, then $f$ is $n-1$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable and $n$ times Gâteaux ${\mathcal{S}}^{p}$-differentiable at every self-adjoint operator.We also prove that if $f\in B_{\infty 1}^{n}(\mathbb{R})\cap B_{\infty 1}^{1}(\mathbb{R})$, then $f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{q}$-differentiable, $1\leqslant q<\infty$, at every self-adjoint operator. These results generalize and extend analogous results of Kissin et al. (Proc. Lond. Math. Soc. (3)108(3) (2014), 327–349) to arbitrary $n$ and unbounded operators as well as substantially extend the results of Azamov et al. (Canad. J. Math.61(2) (2009), 241–263); Coine et al. (J. Funct. Anal.; doi:10.1016/j.jfa.2018.09.005); Peller (J. Funct. Anal.233(2) (2006), 515–544) on higher order ${\mathcal{S}}^{p}$-differentiability of $f$ in a certain Wiener class, Gâteaux ${\mathcal{S}}^{2}$-differentiability of $f\in C^{n}(\mathbb{R})$ with $f^{\prime },\ldots ,f^{(n)}\in C_{b}(\mathbb{R})$, and Gâteaux ${\mathcal{S}}^{q}$-differentiability of $f$ in the intersection of the Besov classes $B_{\infty 1}^{n}(\mathbb{R})\cap B_{\infty 1}^{1}(\mathbb{R})$. As an application, we extend ${\mathcal{S}}^{p}$-estimates for operator Taylor remainders to a broad set of symbols. Finally, we establish explicit formulas for Fréchet differentials and Gâteaux derivatives.

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30

Marisetti Sowjanya, Radha Rani Tammileti, Gangadhara Rao Ankata,. "f-Primary Ideals in Semigroups." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 5 (April 11, 2021): 857–61. http://dx.doi.org/10.17762/turcomat.v12i5.1495.

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Right now, the terms left f-Primary Ideal, right f-Primary Idealand f- primary ideals are presented. It is Shown that An ideal U in a semigroup S fulfills the condition that If G, H are two ideals of S with the end goal that f (G) f (H)⊆U and f(H)⊈U then f(G)⊆rf (U)iff f (q), f (r)⊆S , <f (q)><f (r)>⊆U and f (r)⊈U then f (q)⊆rf (U) in like manner it is exhibited that An ideal U out of a semigroup S fulfills condition If G, H are two ideals of S such that f (G) f (H)⊆U and f (G)⊈U then f (H) ⊆rf (U) iff f (q), f (r)⊆S,<f (q)><f (r)>⊆U and f (q)⊈U⇒f (r)⊆rf (U). By utilizing the meanings of left - f- primary and right f- primary ideals a couple of conditions are illustrated It is shown that J is a restrictive maximal ideal in Son the off chance thatrf (U) = J for some ideal U in S at that point J will be a f- primary ideal and Jn is f-primary ideal for some n it is explained that if S is quasi-commutative then an ideal U of S is left f - primary iff right f -primary.

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31

Xiao, Yingying, and Chuanxi Zhu. "New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory." Electronic Journal of Qualitative Theory of Differential Equations, no. 73 (2021): 1–17. http://dx.doi.org/10.14232/ejqtde.2021.1.73.

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In this paper, we study the following quasilinear Schrödinger equation − Δ u + V ( x ) u − κ u Δ ( u 2 ) + μ h 2 ( | x | ) | x | 2 ( 1 + κ u 2 ) u + μ ( ∫ | x | + ∞ h ( s ) s ( 2 + κ u 2 ( s ) ) u 2 ( s ) d s ) u = f ( u ) in R 2 , κ > 0 V ∈ C 1 ( R 2 , R ) and f ∈ C ( R , R ) By using a constraint minimization of Pohožaev–Nehari type and analytic techniques, we obtain the existence of ground state solutions.

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32

Xiao, Yingying, and Chuanxi Zhu. "New results on the existence of ground state solutions for generalized quasilinear Schrödinger equations coupled with the Chern–Simons gauge theory." Electronic Journal of Qualitative Theory of Differential Equations, no. 73 (2021): 1–17. http://dx.doi.org/10.14232/ejqtde.2021.1.73.

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Анотація:

In this paper, we study the following quasilinear Schrödinger equation − Δ u + V ( x ) u − κ u Δ ( u 2 ) + μ h 2 ( | x | ) | x | 2 ( 1 + κ u 2 ) u + μ ( ∫ | x | + ∞ h ( s ) s ( 2 + κ u 2 ( s ) ) u 2 ( s ) d s ) u = f ( u ) in R 2 , κ > 0 V ∈ C 1 ( R 2 , R ) and f ∈ C ( R , R ) By using a constraint minimization of Pohožaev–Nehari type and analytic techniques, we obtain the existence of ground state solutions.

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33

CHUNG, JAEYOUNG, CHANG-KWON CHOI, and SOON-YEONG CHUNG. "ON THE REAL-VALUED GENERAL SOLUTIONS OF THE D’ALEMBERT EQUATION WITH INVOLUTION." Bulletin of the Australian Mathematical Society 95, no. 2 (November 23, 2016): 260–68. http://dx.doi.org/10.1017/s000497271600099x.

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We find all real-valued general solutions$f:S\rightarrow \mathbb{R}$of the d’Alembert functional equation with involution$$\begin{eqnarray}\displaystyle f(x+y)+f(x+\unicode[STIX]{x1D70E}y)=2f(x)f(y) & & \displaystyle \nonumber\end{eqnarray}$$for all$x,y\in S$, where$S$is a commutative semigroup and$\unicode[STIX]{x1D70E}~:~S\rightarrow S$is an involution. Also, we find the Lebesgue measurable solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the above functional equation, where$\unicode[STIX]{x1D70E}:\mathbb{R}^{n}\rightarrow \mathbb{R}^{n}$is a Lebesgue measurable involution. As a direct consequence, we obtain the Lebesgue measurable solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the classical d’Alembert functional equation$$\begin{eqnarray}\displaystyle f(x+y)+f(x-y)=2f(x)f(y) & & \displaystyle \nonumber\end{eqnarray}$$for all$x,y\in \mathbb{R}^{n}$. We also exhibit the locally bounded solutions$f:\mathbb{R}^{n}\rightarrow \mathbb{R}$of the above equations.

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34

Johnson, W. "Early bridge consultants, Benjamin Robins, F. R. S. and Charles Hutton, F. R. S. and mis-judged bridge designer, Thomas Paine." International Journal of Mechanical Sciences 41, no. 6 (June 1999): 741–48. http://dx.doi.org/10.1016/s0020-7403(98)00026-5.

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35

Faisol, Ahmad, and Fitriani Fitriani. "Homomorfisa Modul Deret Pangkat Tergeneralisasi Miring." Jurnal Matematika Integratif 17, no. 2 (January 23, 2022): 119. http://dx.doi.org/10.24198/jmi.v17.n2.34646.119-126.

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Анотація:

Diberikan sebarang ring komutatif $R$ dengan elemen satuan, monoid terurut tegas $(S,\leq)$, homomorfisma monoid $\omega:S\rightarrow End(R)$, submonoid $S_1,S_2\subseteq S$ yang masing-masing dilengkapi urutan $\leq_1, \leq_2$ yang \textit{coarser} terhadap urutan $\leq$ pada $S$, dan modul $M_1,M_2$ atas $R$. Pada penelitian ini, dikonstruksi modul deret pangkat tergeneralisasi miring $M_1[[S_1,\leq_1,\omega]]$ dan $M_2[[S_2,\leq_2,\omega]]$ atas ring deret pangkat tergeneralisasi miring $R[[S,\leq,\omega]]$. Selain itu, dibuktikan pemetaan $\tau$ dari $M_1[[S_1,\leq_1,\omega]]$ ke $M_2[[S_2,\leq_2,\omega]]$ dengan $\tau(\alpha_1)=\gamma\circ\alpha_1\circ\delta^{-1}$ merupakan $R[[S,\leq,\omega]]$-homomorfisma modul dengan mensyaratkan $f(\delta^{-1}(u))=f(u)$ dan $\omega_{\delta^{-1}(v)}=\omega_{v}$ untuk setiap $u,v\in S_2$ dan $f\in R[[S,\leq,\omega]]$.

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36

Et, Mikail, Yavuz Altin, and Hifsi Altinok. "On some generalized difference sequences with respect to a modulus function." Filomat, no. 17 (2003): 23–33. http://dx.doi.org/10.2298/fil0317023e.

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The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.

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37

Ould Chbih, Ahmed, Mohamed Ben Faraj Ben Maaouia, and Mamadou Sanghare. "Localization in the Category $COMP(G_{r}(A-Mod))$ of Complex associated to the Category $G_{r}(A-Mod)$ of Graded left $A-$modules over a Graded Ring." European Journal of Pure and Applied Mathematics 16, no. 3 (July 30, 2023): 1913–39. http://dx.doi.org/10.29020/nybg.ejpam.v16i3.4753.

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The main results of this paper are : \\If $A=\displaystyle{\bigoplus_{n\in\mathbb{Z}}}A_{n}$ is a graded duo-ring, $S_{H}$ is a partformed of regulars homogeneous elements of $A$, $\overline{S}_{H}$ is the homogeneous multiplicativelyclosed subset of $A$generated by $S_{H}$, then: \begin{enumerate}\item The relation $C_{H}(-) :G_{r}(\overline{S}_{H}^{-1}A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$\overline{S}_{H}^{-1}A-$module $\overline{S}_{H}^{-1}M$ of $G_{r}(\overline{S}_{H}^{-1}A-Mod)$we correspond the associate complex sequence $(\overline{S}_{H}^{-1}M)_{*}$ to a graded $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}M$ and for all graded morphism of graded left $\overline{S}_{H}^{-1}A-$modules$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$ of degree $k$we correspond the associated complex chain$(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $\overline{S}_{H}^{-1}A-$module$\overline{S}_{H}^{-1}f : \overline{S}_{H}^{-1}M\longrightarrow \overline{S}_{H}^{-1}N$is an additively exact covariant functor.\item The relation $(C_{H}\circ\overline{S}_{H}^{-1})(-) :G_{r}(A-Mod)\longrightarrow COMP(G_{r}(\overline{S}_{H}^{-1}A-Mod))$ which that for all graded left$A-$module $M$ of $G_{r}(A-Mod)$we correspond the associate complex sequence $(C_{H}\circ\overline{S}_{H}^{-1})(M)=(\overline{S}_{H}^{-1}M)_{*}$ to a graded $A-$module$M$ and for all graded morphism of graded left $A-$modules$f : M\longrightarrow N$ of degree $k$we correspond the associated complex chain$(C_{H}\circ\overline{S}_{H}^{-1})(f)=(\overline{S}_{H}^{-1}f)_{*}^{k}$ to a morphism of graded left $A-$module$f : M\longrightarrow N$is an additively exact covariant functor. \item \noindent For all $n\in \mathbb{Z}$ fixed and for all $ M \in G_{r}(A-Mod)$ we have:$$\overline{S}^{-1}_{H}((H_{n}\circ C)(M))\cong H_{n}(C_{H}\circ \overline{S}^{-1}_{H})(M)).$$\end{enumerate}

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38

Wu, Guoqiang. "Splitting theorem for Ricci soliton." Proceedings of the American Mathematical Society 149, no. 8 (May 18, 2021): 3575–81. http://dx.doi.org/10.1090/proc/15466.

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Let ( M , g , f ) (M, g, f) be a gradient Ricci soliton ∇ 2 f + R i c = λ g \nabla ^2 f+Ric=\lambda g with λ ∈ { 1 2 , 0 , − 1 2 } \lambda \in \{\frac {1}{2}, 0, -\frac {1}{2}\} . Suppose there is a geodesic line γ : ( − ∞ , ∞ ) → M \gamma : (-\infty , \infty )\rightarrow M satisfying lim inf t → ∞ ∫ 0 t R i c ( γ ′ ( s ) , γ ′ ( s ) ) d s + lim inf t → − ∞ ∫ t 0 R i c ( γ ′ ( s ) , γ ′ ( s ) ) d s ≥ 0 , \begin{eqnarray*} \liminf _{t\rightarrow \infty }\int _0^{t}Ric(\gamma ’(s), \gamma ’(s))ds +\liminf _{t\rightarrow -\infty }\int _{t}^{0}Ric(\gamma ’(s), \gamma ’(s))ds \geq 0, \end{eqnarray*} then ( M , g , f ) (M, g, f) splits off a line isometrically.

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39

Balister, Paul, Béla Bollobás, Amites Sarkar, and Mark Walters. "Sentry Selection in Wireless Networks." Advances in Applied Probability 42, no. 01 (March 2010): 1–25. http://dx.doi.org/10.1017/s0001867800003888.

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Анотація:

Let be a Poisson process of intensity one in the infinite plane ℝ2. We surround each point x of by the open disc of radius r centred at x. Now let S n be a fixed disc of area n, and let C r (S n ) be the set of discs which intersect S n . Write E r k for the event that C r (S n ) is a k-cover of S n , and F r k for the event that C r (S n ) may be partitioned into k disjoint single covers of S n . We prove that P(E r k ∖ F r k ) ≤ c k / logn, and that this result is best possible. We also give improved estimates for P(E r k ). Finally, we study the obstructions to k-partitionability in more detail. As part of this study, we prove a classification theorem for (deterministic) covers of ℝ2 with half-planes that cannot be partitioned into two single covers.

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40

Yamaoka, Luís Cláudio. "Caracterização das raízes do polinômio do terceiro grau e alguns resultados." Cadernos do IME - Série Matemática, no. 17 (December 17, 2021): 50–71. http://dx.doi.org/10.12957/cadmat.2021.60985.

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Neste artigo apresentamos um procedimento para caracterizar as raízes do polinômio do 3º grau $f \in \R[x]$ recorrendo a fatos do Cálculo. Ademais, impondo condições aos coeficientes de $f \in \R[x]$, estabelecemos uma comparação entre a parte real de suas raízes complexas não reais conjugadas e o(s) ponto(s) crítico(s) de $\mathbf{f}: \R \rightarrow \R$.

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41

Chadjiconstantinidis, S., D. L. Antzoulakos, and M. V. Koutras. "Joint distributions of successes, failures and patterns in enumeration problems." Advances in Applied Probability 32, no. 03 (September 2000): 866–84. http://dx.doi.org/10.1017/s0001867800010296.

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Let ε be a (single or composite) pattern defined over a sequence of Bernoulli trials. This article presents a unified approach for the study of the joint distribution of the number S n of successes (and F n of failures) and the number X n of occurrences of ε in a fixed number of trials as well as the joint distribution of the waiting time T r till the rth occurrence of the pattern and the number S T r of successes (and F T r of failures) observed at that time. General formulae are developed for the joint probability mass functions and generating functions of (X n ,S n ), (T r ,S T r ) (and (X n ,S n ,F n ),(T r ,S T r ,F T r )) when X n belongs to the family of Markov chain imbeddable variables of binomial type. Specializing to certain success runs, scans and pattern problems several well-known results are delivered as special cases of the general theory along with some new results that have not appeared in the statistical literature before.

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42

Rabkin, Simon W., and Jeremy C. J. Zhou. "Estimating Left Ventricular Mass from the Electrocardiogram across the Spectrum of LV Mass from Normal to Increased LV Mass in an Older Age Group." Cardiology Research and Practice 2024 (March 11, 2024): 1–9. http://dx.doi.org/10.1155/2024/6634222.

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Objectives. To examine the relationship of QRS voltages and left ventricular (LV) mass across the spectrum of individuals with different LV mass. Methods. Twenty QRS voltage measurements or combinations were determined in a consecutive series of 159 adults with an ECG and echocardiogram without previous myocardial infarction, left or right bundle branch block, pre-excitation, or electronic pacemaker. Results. The four strongest and significant correlations between QRS and LV mass were S in V4, deepest S wave in any precordial lead plus S in V4, S in V3, and S in V3 plus R in AVL times QRS duration. For men, the strength of the relationships were S in V3 (F = 33.8), deepest S wave in any precordial lead plus S V4 (F = 33.7), S in V3 plus R aVL (F = 29.9), S in V4 (F = 29.79), and deepest S in precordial leads (F = 17.9). The R wave in AVL alone did not correlate with LV mass. Criteria using the R wave in lateral precordial leads did not correlate as strongly with LV mass. For women, only S in V4 significantly correlated with LV mass. Overall, the R wave voltage in limb leads (AVL I or II) did not correlate with precordial S wave amplitudes. Univariate and multivariate analysis showed that some but not all QRS voltages correlated with each other. In multivariate analysis, using only single variables and not combination of QRS variables, the only significant relationship between QRS voltage and left ventricular mass was for men the S in V3 (p=0.04) and for women S in V4 (p=0.016) and R in V6 (p=0.04). Conclusion. The S wave in V3 and V4 correlate most strongly with LV mass while the R wave in limb leads, including AVL, do not correlate.

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43

Khan, Adnan, M. Haris Mateen, Ali Akgül та Md Shajib Ali. "The K Extended Laguerre Polynomials Involving A α r , n , k x F r r , r > 2". Advances in Mathematical Physics 2022 (5 вересня 2022): 1–10. http://dx.doi.org/10.1155/2022/6815685.

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In this manuscript, we present the generalized hypergeometric function of the type F r r , r > 2 and extension of the K Laguerre polynomial for the K extended Laguerre polynomials A r , n , k α x . Additionally, we describe the K generating function, K recurrence relations, and K S Rodrigues formula.

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44

Lagercrantz, Marika V. "Anna Hofmann - En sedesam förförerska på varietéscenen." Tidskrift för genusvetenskap 18, no. 2 (June 17, 2022): 26–38. http://dx.doi.org/10.55870/tgv.v18i2.4609.

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In an analysis of the d i f f e r e n t p e r f o r m a n c e s by Anna Hofman during the f890's Lagercrantz discusses how m o d e r n social distinctions were enacted through an intricate interplay between male gaze and female power. T h e subculture of the vaudeville created space for female e n t r e p r e n e u r s , where a skilful actress like H o f m a n could make use of male desire without getting caught in patriarchal hierarchy.

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45

McCool, James. "On a question of Remeslennikov." Glasgow Mathematical Journal 43, no. 1 (January 2001): 123–24. http://dx.doi.org/10.1017/s0017089501010102.

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46

Hijriati, Na'imah, Sri Wahyuni, and Indah Emilia Wijayanti. "Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring." European Journal of Pure and Applied Mathematics 11, no. 3 (July 31, 2018): 751–61. http://dx.doi.org/10.29020/nybg.ejpam.v11i3.3285.

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Let $ R, S $ be rings with unity, $ M $ a module over $ S $, where $ S $ a commutative ring, and $ f \colon R \rightarrow S $ a ring homomorphism. A ring representation of $ R $ on $ M $ via $ f $ is a ring homomorphism $ \mu \colon R \rightarrow End_S(M) $, where $ End_S(M) $ is a ring of all $ S $-module homomorphisms on $ M $. One of the important properties in representation of rings is the Schur's Lemma. The main result of this paper is partly the generalization of Schur's Lemma in representations of rings on modules over a commutative ring

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47

Ward, Timothy M., Gretchen L. Grammer, Alex R. Ivey, Jonathan J. Smart, and Richard McGarvey. "Increasing the precision of the daily egg production method; 2020’s remix of a 1980’s classic." ICES Journal of Marine Science 78, no. 4 (March 29, 2021): 1177–95. http://dx.doi.org/10.1093/icesjms/fsab015.

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Abstract This paper reviews application of the Daily Egg Production Method (DEPM) to sardine (Sardinops sagax) off southern Australia between 1995 and 2019. Coefficients of variation (CVs) of estimates of spawning biomass (SB) were reduced from 23–59% to 8–12% by: (i) estimating mean daily egg production (P0), spawning fraction (S), and sex ratio (R) from all historical data rather than annually; and (ii) combining batch fecundity (F) and female weight (W) into a single parameter, relative fecundity (F′ = F^/W). Total daily egg production was estimated most precisely from annual estimates of spawning area (A) and estimates of P0 obtained from historical data. Both S and R were estimated most precisely from historical data. Estimating W and F from historical data did not increase precision. F′ had lower CVs than both W and F, and was stable across years and a wide range of W. Findings demonstrate that A can be converted into a precise estimates of SB using estimates of P0, S, R, and F′ obtained from historical data. However, the possibility that DEPM parameters may change in the future cannot be discounted. Future monitoring should include annual estimation of P0 and periodic (e.g. 3–5 years) re-estimation of adult parameters.

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48

Cascante, Carme, and Joaquín M. Ortega. "Bilinear forms on non-homogeneous Sobolev spaces." Forum Mathematicum 32, no. 4 (July 1, 2020): 995–1026. http://dx.doi.org/10.1515/forum-2019-0311.

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AbstractIn this paper, we show that if {b\in L^{2}(\mathbb{R}^{n})}, then the bilinear form defined on the product of the non-homogeneous Sobolev spaces {H_{s}^{2}(\mathbb{R}^{n})\times H_{s}^{2}(\mathbb{R}^{n})}, {0<s<1}, by(f,g)\in H_{s}^{2}(\mathbb{R}^{n})\times H_{s}^{2}(\mathbb{R}^{n})\to\int_{% \mathbb{R}^{n}}(\mathrm{Id}-\Delta)^{\frac{s}{2}}(fg)(\mathbf{x})b(\mathbf{x})% \mathop{}\!d\mathbf{x}is continuous if and only if the positive measure {\lvert b(\mathbf{x})\rvert^{2}\mathop{}\!d\mathbf{x}} is a trace measure for {H_{s}^{2}(\mathbb{R}^{n})}.

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49

Suis, MAF, L. Majuakim, and M. Suleiman. "F E R N S P E C I E S R I C H N E S S PAT T E R N S A N D T H E I R ENVIRONMENTAL PREFERENCES ACROSS ELEVATIONAL GRADIENT ON MOUNT TRUS MADI, SABAH, MALAYSIA." JOURNAL OF TROPICAL FOREST SCIENCE 33, no. 1 (January 19, 2021): 58–68. http://dx.doi.org/10.26525/jtfs2021.33.1.58.

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50

"Joseph Raphson, F. R. S." Notes and Records of the Royal Society of London 44, no. 2 (July 31, 1990): 151–67. http://dx.doi.org/10.1098/rsnr.1990.0016.

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Three hundred years ago, in 1690, a mathematical book was published in London that ensured its author a certain degree of immortality: his name will now always be associated with that of Isaac Newton. The book, being the first account of the so-called Newton-Raphson method in the fully developed form which survives to the present day, was entitled ‘Analysis Aequationum UNIVERSALIS, SEU Ad AEQUATIONES ALGEBRAICAS Resolvendas METHODUS Generalis, et Expedita, Ex nova Infinitarum serierum Doctrina, DEDUCTA AC DEMONSTRATA’. This article tells as much as we have been able to discover about the enigmatic author of the book. BIOGRAPHICAL DETAILS Very little is known about the life of Joseph Raphson; of the few statements made about him in the literature, even fewer can now be verified from original sources. The details that follow can still be found in surviving contemporary documents, but unfortunately we have to start rather late in his life, with his election to the Royal Society. Mr Joseph Raphson was proposed for Fellowship of the Royal Society at the meeting of Wednesday, 27 November 1689, by the renowned Edmond Halley. The Society’s Journal Book (1) reads: Dr Stanley, Mr Ralfson, and Mr Moult were proposed candidates at this meeting, and approved,...

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