Journal articles: 'Progetto V.E.C.T.O.R'

1

Carvalho, L. A. V., and K. L. Cooke. "On dichotomic maps for a class of differential-difference equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 117, no. 3-4 (1991): 317–28. http://dx.doi.org/10.1017/s0308210500024768.

Full text

Abstract:

SynopsisStability and asymptotic stability of the null solution of the differential-difference equation (E)x′(t) = f(x(t), x(t − r)), f: RNxRN → RN, f(0, 0) = 0, are studied by means of an extension of the Liapunov–Razumikhin method. Let V: RN → R be a differentiate map, let C = C(+ −r, 0=, RN), and let x(t, ψ) denote the solution of (E) with initial condition ψ in C at t = 0. For t ≧ 0 let xt(ψ) be defined by xt,(ψ)(θ) = x(t + θ, ψ), −r ≦θ ≦0. Let V′ (ψ) be the variation of V along the solution x(t, ψ). We say that V is dichotomic with respect to (E) if there exist T ≧0 and Ω, a neighbourhood of the origin in C, such that if ψ is in the closure of the set where V′ (xT(ψ)) >; 0, then V(x(T, ψ)) ≦ V(x(s, ψ)) for some s, −r ≦ sT. It is proved that if V is positive definite, continuously differentiable, and dichotomic, then the null solution of (E) is stable. A concept of strict dichotomic map is introduced and used to prove asymptotic stability. A number of examples are given to illustrate the applications of the method.

APA, Harvard, Vancouver, ISO, and other styles

2

Sheng, T. K. "The distance between two random points in plane regions." Advances in Applied Probability 17, no. 4 (December 1985): 748–73. http://dx.doi.org/10.2307/1427086.

Full text

Abstract:

Let T be a triangle. P be a parallelogram, E be an ellipse, A, B be concentric circles, C, D be concentric dartboard regions, R, S be rectangles of the same orientation, U, V be two finite unions and/or differences of convex regions in the Euclidean plane. Given a function f on [0,∞), let E[/(r), U, V] denote the mean value of f(|u–v|), where |u–v| is the distance between u∊U and v∊V. Using Borel’s overlap technique, a specific distance weight function and a specific equivalence relation, we obtain formulae expressing E[f(r), U, V] in terms of triple integrals, expressing E(rn, U, V), E[f(r), A, V] and E[f(r), R, V] in terms of double integrals, expressing E[f(r), A, B], E[f(r), R, S], E[f(r), T, T], E[f(r), P, P], E(rn, C, D) and E(rn, R, V) in terms of single integrals, and expressing E(rn, R, S), E(rn, P, P), E(rn, T, T), E(rn, E, E) in terms of elementary functions, where n is an integer ≧−1. Many other related results are also given.

APA, Harvard, Vancouver, ISO, and other styles

3

Sheng, T. K. "The distance between two random points in plane regions." Advances in Applied Probability 17, no. 04 (December 1985): 748–73. http://dx.doi.org/10.1017/s0001867800015391.

Full text

Abstract:

LetTbe a triangle.Pbe a parallelogram,Ebe an ellipse,A,Bbe concentric circles,C,Dbe concentric dartboard regions,R,Sbe rectangles of the same orientation,U, Vbe two finite unions and/or differences of convex regions in the Euclidean plane. Given a functionfon [0,∞), letE[/(r),U,V] denote the mean value off(|u–v|), where |u–v| is the distance betweenu∊Uandv∊V. Using Borel’s overlap technique, a specific distance weight function and a specific equivalence relation, we obtain formulae expressingE[f(r),U,V] in terms of triple integrals, expressingE(rn,U,V),E[f(r),A,V] andE[f(r),R,V] in terms of double integrals, expressingE[f(r),A,B],E[f(r),R,S], E[f(r),T,T],E[f(r),P,P],E(rn,C,D)andE(rn,R,V) in terms of single integrals, and expressingE(rn,R,S),E(rn,P,P),E(rn,T,T),E(rn,E,E) in terms of elementary functions, wherenis an integer ≧−1. Many other related results are also given.

APA, Harvard, Vancouver, ISO, and other styles

4

Ren, Guoqiang. "Global existence of a quasilinear chemotaxis model with signal-dependent motility and indirect signal production mechanism." Journal of Mathematical Physics 63, no. 9 (September 1, 2022): 091508. http://dx.doi.org/10.1063/5.0103267.

Full text

Abstract:

In this paper, we study the following quasilinear chemotaxis model with signal-dependent motility: n t = Δ( γ( c) n m); c t = d cΔ c − c + v; v t = d vΔ v − v + n, x ∈ Ω, t > 0, [Formula: see text], x ∈ ∂Ω, t > 0, n( x, 0) = n0( x), c( x, 0) = c0( x), v( x, 0) = v0( x), x ∈ Ω, t > 0, where γ( c) = c− r. We show that the above system admits at least one global weak solution.

APA, Harvard, Vancouver, ISO, and other styles

5

Kofanov, V. A., and T. V. Olexandrova. "Точні нерівності типу Ремеза, що оцінюють L q -норму функції через її L p -норму." Ukrains’kyi Matematychnyi Zhurnal 74, no. 5 (June 17, 2022): 635–49. http://dx.doi.org/10.37863/umzh.v74i5.6836.

Full text

Abstract:

УДК 517.5 Для довiльних q ≥ p > 0 , α = ( r + 1 / q ) / ( r + 1 / p ) , f p ∈ [ 0 , ∞ ] , β ∈ [ 0,2 π ) , доведено точну нерiвнiсть типу Ремеза < / ⅆ i v > < ⅆ i v > ‖ x ‖ q ≤ < / ⅆ i v > < ⅆ i v > ‖ φ r + c ‖ q ‖ φ r + c ‖ L p ( [ 0 , < / ⅆ i v > < ⅆ i v > 2 π ] ∖ B y ( β ) ) α ‖ x ‖ L p ( [ 0 , < / ⅆ i v > < ⅆ i v > 2 π ] ∖ B ) α ‖ x ( r ) ‖ ∞ 1 - α < / ⅆ i v > < ⅆ i v > для 2 π -перiодичних функцiй x ∈ L ∞ r , що мають нулі, і задовольняють умову < / ⅆ i v > < ⅆ i v > ‖ x + ‖ p ⋅ ‖ x - ‖ p -1 = f p ( 1 ) < / ⅆ i v > < ⅆ i v > де φ r - ідеальний сплайн Ейлера порядку r , а число c обрано так, що функція x = φ r + c задовольняє рівність (1), B - довільна вимірна за Лебегом множина, така що μ B ≤ β ( ‖ φ r + c ‖ p ⋅ ‖ x ( r ) ‖ ∞ ⋅ ‖ x ‖ p -1 ) - 1 / ( r + 1 / p ) , а множина B y ( β ) означена рівністю B y ( β ) : = { t ∈ [ 0,2 π ] : | φ r ( t ) + c | > y ( β ) } , причому μ B y ( β ) = β . Також отримано точні нерівності різних метрик типу Ремеза для тригонометричних поліномів і поліноміальних сплайнів, що задовольняють умову (1).

APA, Harvard, Vancouver, ISO, and other styles

6

Levi, Mark. "KAM theory for particles in periodic potentials." Ergodic Theory and Dynamical Systems 10, no. 4 (December 1990): 777–85. http://dx.doi.org/10.1017/s0143385700005897.

Full text

Abstract:

AbstractIt is shown that the system of the form x + V′ (x) = p (t) with periodic V and p and with (p) = 0 is near-integrable for large energies. In particular, most (in the sense of Lebesgue measure) fast solutions are quasiperiodic, provided V ∈ C(5) and p ∈ L1; furthermore, for any solution x(t) there exists a velocity bound c for all time: |x(t)| < c for all t ∈ R. For any real number r there exists a solution with that average velocity, and when r is rational, this solution can be chosen to be periodic.

APA, Harvard, Vancouver, ISO, and other styles

7

Shaheen, Ramy, Suhail Mahfud, and Ali Kassem. "Irreversible k -Threshold Conversion Number of Circulant Graphs." Journal of Applied Mathematics 2022 (August 11, 2022): 1–14. http://dx.doi.org/10.1155/2022/1250951.

Full text

Abstract:

An irreversible conversion process is a dynamic process on a graph where a one-way change of state (from state 0 to state 1) is applied on the vertices if they satisfy a conversion rule that is determined at the beginning of the study. The irreversible k -threshold conversion process on a graph G = V , E is an iterative process which begins by choosing a set S 0 ⊆ V , and for each step t t = 1 , 2 , ⋯ , , S t is obtained from S t − 1 by adjoining all vertices that have at least k neighbors in S t − 1 . S 0 is called the seed set of the k -threshold conversion process, and if S t = V G for some t ≥ 0 , then S 0 is an irreversible k -threshold conversion set (IkCS) of G . The k -threshold conversion number of G (denoted by ( C k G ) is the minimum cardinality of all the IkCSs of G . In this paper, we determine C 2 G for the circulant graph C n 1 , r when r is arbitrary; we also find C 3 C n 1 , r when r = 2 , 3 . We also introduce an upper bound for C 3 C n 1 , 4 . Finally, we suggest an upper bound for C 3 C n 1 , r if n ≥ 2 r + 1 and n ≡ 0 mod 2 r + 1 .

APA, Harvard, Vancouver, ISO, and other styles

8

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.

Full text

Abstract:

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 .

APA, Harvard, Vancouver, ISO, and other styles

9

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

10

Ding, Youzheng, Jiafa Xu, and Zhengqing Fu. "Positive Solutions for a System of Fractional Integral Boundary Value Problems of Riemann–Liouville Type Involving Semipositone Nonlinearities." Mathematics 7, no. 10 (October 14, 2019): 970. http://dx.doi.org/10.3390/math7100970.

Full text

Abstract:

In this work by the index of fixed point and matrix theory, we discuss the positive solutions for the system of Riemann–Liouville type fractional boundary value problems D 0 + α u ( t ) + f 1 ( t , u ( t ) , v ( t ) , w ( t ) ) = 0 , t ∈ ( 0 , 1 ) , D 0 + α v ( t ) + f 2 ( t , u ( t ) , v ( t ) , w ( t ) ) = 0 , t ∈ ( 0 , 1 ) , D 0 + α w ( t ) + f 3 ( t , u ( t ) , v ( t ) , w ( t ) ) = 0 , t ∈ ( 0 , 1 ) , u ( 0 ) = u ′ ( 0 ) = ⋯ = u ( n − 2 ) ( 0 ) = 0 , D 0 + p u ( t ) | t = 1 = ∫ 0 1 h ( t ) D 0 + q u ( t ) d t , v ( 0 ) = v ′ ( 0 ) = ⋯ = v ( n − 2 ) ( 0 ) = 0 , D 0 + p v ( t ) | t = 1 = ∫ 0 1 h ( t ) D 0 + q v ( t ) d t , w ( 0 ) = w ′ ( 0 ) = ⋯ = w ( n − 2 ) ( 0 ) = 0 , D 0 + p w ( t ) | t = 1 = ∫ 0 1 h ( t ) D 0 + q w ( t ) d t , where α ∈ ( n − 1 , n ] with n ∈ N , n ≥ 3 , p , q ∈ R with p ∈ [ 1 , n − 2 ] , q ∈ [ 0 , p ] , D 0 + α is the α order Riemann–Liouville type fractional derivative, and f i ( i = 1 , 2 , 3 ) ∈ C ( [ 0 , 1 ] × R + × R + × R + , R ) are semipositone nonlinearities.

APA, Harvard, Vancouver, ISO, and other styles

11

Baskaran, Thamaraiselvi, and Rajasekaran Ganapathy. "A Study on C -Exponential Mean Labeling of Graphs." Journal of Mathematics 2022 (October 7, 2022): 1–7. http://dx.doi.org/10.1155/2022/2865573.

Full text

Abstract:

A function h is mentioned as a C -exponential mean labeling of a graph G V , E that has s vertices and r edges if h : V G ⟶ 1 , 2 , 3 , ⋯ , r + 1 is injective and the generated function h ∗ : E G ⟶ 2 , 3 , 4 , ⋯ , r + 1 defined by h ∗ a b = 1 / e h b h b / h a h a 1 / h b − h a , for all a b ∈ E G , is bijective. A graph which recognizes a C -exponential mean labeling is defined as C -exponential mean graph. In the following study, we have studied the exponential meanness of the path, the graph triangular tree of T n , C m P n , cartesian product of two paths P m ▫ P n , one-sided step graph of S T n , double-sided step graph of 2 S T 2 n , one-sided arrow graph of A r s , double-sided arrow graph of D A r s , and subdivision of ladder graph S L t .

APA, Harvard, Vancouver, ISO, and other styles

12

Straus, Lawrence Guy. "Earth Sciences and Archaeology. P. Goldberg , V. T. Holliday , C. R. Ferring." Journal of Anthropological Research 58, no. 1 (April 2002): 179–81. http://dx.doi.org/10.1086/jar.58.1.3631082.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Gross, Micah, and Thomy Gross. "Relationship between Cyclic and Non-Cyclic Force-Velocity Characteristics in BMX Cyclists." Sports 7, no. 11 (November 9, 2019): 232. http://dx.doi.org/10.3390/sports7110232.

Full text

Abstract:

Especially for bicycle motocross (BMX) cyclists, transfer of muscular force-velocity (Fv) characteristics between common strength training exercises and cycling is important. This study investigated the relationship between Fv characteristics in a common training exercise (squat jumps) and a sport-specific task (cycling) in high-level BMX racers by exploring the degree to which Fv and torque–cadence (Tc) characteristics correspond. Twelve BMX racers performed an Fv (multiple loaded squat jump) and two Tc tests (ramp starts and flat-ground sprints). Results revealed very large correlations between F 0 and T o r 0 s t a r t (r = 0.77) and between P m a x j u m p and P m a x s t a r t (r = 0.85). On the other hand, the relationships between v 0 and C a d 0 s t a r t (r = –0.25) and between S F v and S T c s t a r t (r = –0.14) were small and negative. Similar results were observed for sprints. Based on dichotomous classifications (greater or less than group median), several discrepancies occurred, particularly for the profile slopes and high-speed variables. Thus, we recommend performing both jump-based and cycling-specific F v testing. Of additional note, T c characteristics on flat ground were similar to, but slightly different from those on the start ramp. Therefore, where possible, Tc tests should be carried out on a ramp.

APA, Harvard, Vancouver, ISO, and other styles

14

Gangloff, Tilmann P. "Neuer Anlauf für den Jugendmedien- s c h u t z - S t a a t s v e r t r a g." Jugend Medien Schutz-Report 38, no. 5 (2015): 6–8. http://dx.doi.org/10.5771/0170-5067-2015-5-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Mahendra, I. Putu, Basuki Wijosentono, Tamrin Tamrin, and Hanafi Ismail. "Modifikasi Resiprene-35 Dengan Asam Metakrilat Melalui Teknik Pencangkokan Dalam Sistem Pelarut." Talenta Conference Series: Science and Technology (ST) 2, no. 1 (January 30, 2019): 52–59. http://dx.doi.org/10.32734/st.v2i1.311.

Full text

Abstract:

Modifikasi R-35 dilakukan dengan menggunakan monomer olefin turunan akrilat, yakni asam metakrilat. Tujuan modifikasi R-35 menggunakan asam metakrilat adalah untuk memperoleh material adhesion promoter yang sesuai untuk karet alam siklis yang kedepannya diharapkan dapat dimanfaatkan sebagai bahan cat untuk permukaan poliolefin. Proses modifikasi R-35 dengan monomer asam metakrilat dilakukan dalam sistem pelarut pada temperatur 110-140 °C dan desain eksperimental dirancang dengan menggunakan software Qualitek V.4.0. Analisis material R-35 termodifikasi dilakukan dengan menggunakan FTIR dan 1 H-NMR. Analisis FTIR menunjukkan puncak khas daripada ikatan O-H, C-C, C=O, C=C, dan C-O yang mewakili keberadaan daripada R- 35, asam metakrilat dan divinilbenzena. Analisis lebih lanjut %G dengan software Qualitek V.4.0. menunjukkan bahwa %G tertinggi dapat dicapai dengan mengkondisikan reaksi pada T = 140 °C, %MAA = 20%, %DVB = 20, dan t = 180 menit, dengan estimasi %G yang diperoleh adalah 26.08%. Modification of Resiprene-35 (R-35) was carried out using the monomer of olefin acrylic derivative, namely methacrylic acid. The purpose of the modification of the R-35 using methacrylic acid was to obtain an adhesion promoter material suitable for cyclic natural rubber which in the future is expected to be used as a paint material for polyolefin surfaces. The modification process of R-35 with methacrylic acid monomer was carried out in a solvent system at a temperature of 110-140 °C and the experimental design was designed using Qualitek V.4.0 software. The analysis of modified R-35 material was carried out using FTIR and 1 H-NMR. FTIR analysis showed typical peaks rather than O-H, C-C, C = O, C = C, and C-O bonds which represented the presence of R-35, methacrylic acid, and divinylbenzene. Further analysis %G with Qualitek V.4.0 software showed that the highest %G could be achieved by conditioning the reaction at T = 140 °C % MAA = 20%, % DVB = 20%, and t = 180 minutes, with an estimated %G obtained, was 26.08%.

APA, Harvard, Vancouver, ISO, and other styles

16

WANG, Y. L., M. C. LI, and L. C. ZHAO. "PHASE TRANSFORMATION AND R–T CHARACTERISTICS OF VACUUM ANNEALED VANADIUM OXIDE THIN FILMS." Surface Review and Letters 15, no. 01n02 (February 2008): 59–64. http://dx.doi.org/10.1142/s0218625x08010956.

Full text

Abstract:

Polycrystalline vanadium oxide ( VO x) thin films with mixed phases of V 6 O 13 + VO 2 (M) are deposited onto p-doped Si (100) substrates at 430°C using magnetron sputtering. By vacuum annealing on as-deposited VO x thin films at 450°C, at different annealing times we obtained nanoscale polycrystalline VO x thin films with two or more mixed phases. With the annealing time increasing, the phases of the films underwent the following transformation: V 6 O 13 + VO 2 ( M ) → VO 2 ( M ) + VO 2 ( B ) → VO 2 ( B ) + VO 2 ( M ) + V 5 O 9 → V 4 O 7 + V 5 O 9. The surface of VO x thin films prepared in different conditions is of high quality with mean grain size ranging from 80 to 300 nm and the R a being about 20nm. The lowest temperature coefficient of resistance at ambient temperature (20°C) of -2% K-1 is found in the VO x thin film annealed at 450°C for 8 h with mixed phases of VO 2 ( M ) + VO 2 ( B ), which can meet the needs of microbolometer materials.

APA, Harvard, Vancouver, ISO, and other styles

17

Wilson, Geneva M., Margaret A. Fitzpatrick, Kyle Walding, Beverly Gonzalez, Katie J. Suda, and Charlesnika T. Evans. "1619. Meta-analysis of Randomized Control Trials Evaluating New Beta-Lactamase Combination Antibiotics." Open Forum Infectious Diseases 7, Supplement_1 (October 1, 2020): S802. http://dx.doi.org/10.1093/ofid/ofaa439.1799.

Full text

Abstract:

Abstract Background Ceftolozane/ Tazobactam (C/T), Ceftazidime/ Avibactam (C/A), Meropenem/ Vaborbactam (M/V) and Imipenem/ Relebactam (I/R) are new combination beta-lactam/ beta-lactamase inhibitor antibiotics primarily used to treat multidrug-resistant (MDR) Gram-negative infections. This study synthesized outcomes of comparative observational studies and randomized control trials (RCTs) that evaluated clinical success of these antibiotics compared to other therapies. Methods PubMed, EMBASE, and Google Scholar were searched from January 1st, 2013 through October 1st, 2019 for comparative observational studies and RCTs of C/T, C/A, M/V and I/R in patients with pneumonia, complicated intra-abdominal and urinary tract infections. Study and patient demographics were collected along with clinical and microbiological success rates. Meta-regression analysis was used to determine the pooled effectiveness of C/T, C/A, M/V, and I/R. Heterogeneity and publication bias were assessed via I2 values and funnel plots, respectively. Results Literature search returned 1,645 results. After exclusion criteria, 21 publications representing 6,246 patients were retained: 16 RCTs (8 C/A, 3 C/T, 3 I/R, 2 M/V) and 5 comparative observational studies (3 C/A, 2 C/T). Pooled risk ratios for clinical success showed that all four antibiotics were non-inferior to comparator antibiotics (0.99 (95% CI (0.97-1.01)). Eleven of the sixteen RCTs evaluated microbiological success; pooled risk ratio was 1.08 (95% CI 1.04-1.13), indicating that older therapies were more successful at microbiological eradication than newer antibiotics. Only 6 of the included studies (3 RCTs and 2 observational studies) focused on patients with MDR infections. Limiting the analysis to MDR RCTs did not change the overall conclusions. Conclusion Although older therapies had slightly higher microbiologic clearance, pooled clinical success rates for C/A, C/T, M/V, and I/R were non-inferior to older therapies, including in studies focused on patients with MDR infections. Additional studies are needed to further evaluate these drugs’ effectiveness for treatment of MDR infections. Disclosures All Authors: No reported disclosures

APA, Harvard, Vancouver, ISO, and other styles

18

Zagni, Nicolò, Marcello Cioni, Ferdinando Iucolano, Maurizio Moschetti, Giovanni Verzellesi, and Alessandro Chini. "Experimental and numerical investigation of Poole–Frenkel effect on dynamic R _ON transients in C-doped p-GaN HEMTs." Semiconductor Science and Technology 37, no. 2 (December 20, 2021): 025006. http://dx.doi.org/10.1088/1361-6641/ac4113.

Full text

Abstract:

Abstract In this paper, we investigate the influence of Poole–Frenkel effect (PFE) on the dynamic R ON transients in C-doped p-GaN HEMTs. To this aim, we perform a characterization of the dynamic R ON transients acquired during OFF-state stress (i.e. V GS,STR = 0 V < V T, V DS,STR = 25–125 V) and we interpret the results with the aid of numerical simulations. We find that dynamic R ON transients at room temperature accelerate with V DS,STR 1/2, which is signature of PFE, as further confirmed by the simultaneous decrease of the activation energy (E A) extracted from the Arrhenius plot of the dynamic R ON transients at V DS,STR = 50 V and T = 30 °C–110 °C. Results obtained by means of calibrated numerical simulations reproduce the exponential dependence of transients time constants (τ) on V DS,STR 1/2 and consequent E A reduction only when including the PFE-enhancement model of hole emission from dominant acceptor traps in the buffer related to C doping. This result is consistent with the ‘hole-redistribution’ model that considers hole emission from acceptor traps (rather than electron capture) as the mechanism underlying dynamic R ON increase during OFF-state stress.

APA, Harvard, Vancouver, ISO, and other styles

19

Al-Mezel, Saleh Abdullah, and Jamshaid Ahmad. "Generalized Fixed-Point Results for Almost (α,Fσ)-Contractions with Applications to Fredholm Integral Inclusions." Symmetry 11, no. 9 (August 21, 2019): 1068. http://dx.doi.org/10.3390/sym11091068.

Full text

Abstract:

The purpose of this article is to define almost ( α , F σ ) -contractions and establish some generalized fixed-point results for a new class of contractive conditions in the setting of complete metric spaces. In application, we apply our fixed-point theorem to prove the existence theorem for Fredholm integral inclusions ϖ ( t ) ∈ f ( t ) + ∫ 0 1 K ( t , s , x ( s ) ) ϑ s , t ∈ [ 0 , 1 ] where f ∈ C [ 0 , 1 ] is a given real-valued function and K : [ 0 , 1 ] × [ 0 , 1 ] × R → K c v ( R ) is a given multivalued operator, where K c v represents the family of nonempty compact and convex subsets of R and ϖ ∈ C [ 0 , 1 ] is the unknown function. We also provide a non-trivial example to show the significance of our main result.

APA, Harvard, Vancouver, ISO, and other styles

20

Baldwin, J. E., P. G. Mezger, A. Barrett, A. Baudry, R. Booth, D. Jauncey, V. Kapahi, et al. "40. Radio Astronomy (Radio Astronomie)." Transactions of the International Astronomical Union 20, no. 01 (1988): 539–66. http://dx.doi.org/10.1017/s0251107x00007379.

Full text

Abstract:

The following commission members have contributed to this report:M Birkinshaw, R J Cohen, J J Condon, T J Cornwell, J R Dickel, P A Feldman, R Genzel, M Goss, V Kapahl, Gopal Krishna, M Kundu, A G Lyne, C R Masson, A C Readhead, W Reich, J M Riley, A J Turtle, J M van der Hulst, T L Wilson.

APA, Harvard, Vancouver, ISO, and other styles

21

Pałka, Paweł. "Obowiązek rezydencji prałatów i kanoników katedralnej kapituły chełmskiej w Krasnymstawie." Prawo Kanoniczne 28, no. 3-4 (December 10, 1985): 223–36. http://dx.doi.org/10.21697/pk.1985.28.3-4.07.

Full text

Abstract:

T h e q u e stio n show ed in a T itle of th is m o n o g rap h re g a rd th eC h a p te r c o n stitu te d in C hełm in v irtu e of F o u n d a tio n A ct of th eK in g W ład y sław Jag iełło fro m 1429, a n d tram sfered in 1490 to K ra sn y staw . F o r th e en d o v em e n t of thfe C h a p ter com posed in itia l fro m2 p re la te s a n d 10 canons d em an d e d th e K ing, th a t a ll m em b ers oft-he C h ap te r sh o u ld resid e by th e C a th e d ra l to k eep a sp len d o r ofG od’s C u lt a n d in o rd e r th a t th ey should say p re y e rs fo r th e fo u n d er,h is fam ily, th e deceased w ifes a n d fo r a p ro sp e rity of K ingdom .S im ila r resid en ce d em an d e d also T re n t’s C ouncil a n d C h a p te r’s C h a rte rs a p p ro v ed b y B ishop W ojciech Sobi-ejuski fro m S taro izrzeb iec in 1572. C ause a pooor endow m ent of th e C haiptar th e p ré la ts a n d th ecanons alm o st since a b eg in n in g assu m ed o th e r P a s to ra l’s b eneficesin a D iocese, it w as la ck of th e fu n d s a d e q u a te fo r all m em b ers ofa C h a p ter (in itial 12, a n d la te r 19) fo r su b sisten ce b esid e th e C ath e d ra l, chiefly th a t in som e y e ars th e e states of C h a p te r w e re dev a sta te d b y T a ta r’s invasions.G oing th ro u g h th e y ro u n d of d u ties th e B ishops w e re w a tc h in gab o u t th e fu lfilm e n t th e ir o b lig atio n of R esidence by p ré la ts an dcanons, a n d th ey w a tc h in g also th a t G od’s cu lt sh o u ld be rig h tlyp erfo rm ed , a t le a s t successively b y a p a rt of th e m em b ers of a C h ap te r. I t w as se ttle d a cu sto m co n cern in g th e p e rfo rm a n ce o f a C ulta n d th e fu lfilm e n t of d u ties re la te d to, in a fa rm of ro ta tio n design a te d by a C h ap ter.I t w e re w eek ly ro ta tio n , a n d o ften m o n th ly, com posed by tw o p ré la ts or canons. S om etim e o n ly th e y w e re re p la ce d b y h o n o ra ry canons. A lso th is m a n n e r of resid en ce w aist ev e ry tim e co n serv e v erye x actly , w h a t w as show ed in th e reco rd s of C h a p te r’s sessions a n din R e fo rm atio n al D ecrees issu ed b y B ishops a fte r th e acco m p lish m en ts of C a th e d ra l v isitatio n s.I t w as in a p rin c ip le d u rin g a ll tim e of th is C h a p te r ex istatio n ,w h ich w as ab ro g a te d to g e th e r w ith th e ab ro g a tio n o f C helm ’s diocese by a P o p e P iu s V II w ith a B u lla Q u em a d m o d u m R o m a n o ru mP o n tific u m fro m O ct. 9, 1805, p u t in to effect in 18C7, sim u ltan eo u slyto a c rea tio n of L u b lin ’s diocese a n d it C a th e d ra l C h ap ter.

APA, Harvard, Vancouver, ISO, and other styles

22

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.

Full text

Abstract:

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.

APA, Harvard, Vancouver, ISO, and other styles

23

Zou, Jinyu, He Li, and Haizhen Ren. "The Generalized 4-Connectivity of Cube-Connected-Cycle and Hierarchical Hypercube." Journal of Mathematics 2022 (November 25, 2022): 1–9. http://dx.doi.org/10.1155/2022/2766404.

Full text

Abstract:

The connectivity is an important measurement for the fault tolerance of a network. Let G = V G , E G be a connected graph with the vertex set V G and edge set E G . An S -tree of graph G is a tree T that contains all the vertices in S subject to S ⊆ V G . Two S -trees T and T ′ are internally disjoint if and only if E T ∩ E T ′ = ∅ and V T ∩ V T ′ = S . Denote κ G S by the maximum number of internally disjoint S -trees in graph G . The generalized k -connectivity is a natural generalization of the classical connectivity, which is defined as κ r G = min κ G S | S ⊆ V G and S = r . In this paper, we mainly focus on the generalized connectivity of cube-connected-cycle C C C n and hierarchical hypercube HHC n , which were introduced for massively parallel systems. We show that for n = 2 m + 2 m ≥ 1 , κ 4 HHC n = m and κ 4 CCC n = 2 , that is, for any four vertices in CCC n (or HHC n ), there exist 2 (or m ) internally disjoint S -trees connecting them in CCC n (or HHC n ).

APA, Harvard, Vancouver, ISO, and other styles

24

Neeb, Karl-H. "Finite dimensional semigroups of unitary endomorphisms of standard subspaces." Representation Theory of the American Mathematical Society 25, no. 11 (April 27, 2021): 300–343. http://dx.doi.org/10.1090/ert/566.

Full text

Abstract:

Let V \mathtt {V} be a standard subspace in the complex Hilbert space H \mathcal {H} and G G be a finite dimensional Lie group of unitary and antiunitary operators on H \mathcal {H} containing the modular group ( Δ V i t ) t ∈ R (\Delta _{\mathtt {V}}^{it})_{t \in \mathbb {R}} of V \mathtt {V} and the corresponding modular conjugation J V J_{\mathtt {V}} . We study the semigroup \[ S V = { g ∈ G ∩ U ⁡ ( H ) : g V ⊆ V } S_{\mathtt {V}} = \{ g\in G \cap \operatorname {U}(\mathcal {H})\colon g\mathtt {V} \subseteq \mathtt {V}\} \] and determine its Lie wedge L ⁡ ( S V ) = { x ∈ g : exp ⁡ ( R + x ) ⊆ S V } \operatorname {\textbf {L}}(S_{\mathtt {V}}) = \{ x \in \mathfrak {g} \colon \exp (\mathbb {R}_+ x) \subseteq S_{\mathtt {V}}\} , i.e., the generators of its one-parameter subsemigroups in the Lie algebra g \mathfrak {g} of G G . The semigroup S V S_{\mathtt {V}} is analyzed in terms of antiunitary representations and their analytic extension to semigroups of the form G exp ⁡ ( i C ) G \exp (iC) , where C ⊆ g C \subseteq \mathfrak {g} is an Ad ⁡ ( G ) \operatorname {Ad}(G) -invariant closed convex cone. Our main results assert that the Lie wedge L ⁡ ( S V ) \operatorname {\textbf {L}}(S_{\mathtt {V}}) spans a 3 3 -graded Lie subalgebra in which it can be described explicitly in terms of the involution τ \tau of g \mathfrak {g} induced by J V J_{\mathtt {V}} , the generator h ∈ g τ h \in \mathfrak {g}^\tau of the modular group, and the positive cone of the corresponding representation. We also derive some global information on the semigroup S V S_{\mathtt {V}} itself.

APA, Harvard, Vancouver, ISO, and other styles

25

Hu, Die, Peng Jin, and Xianhua Tang. "The existence results for a class of generalized quasilinear Schrödinger equation with nonlocal term." Electronic Research Archive 30, no. 5 (2022): 1973–98. http://dx.doi.org/10.3934/era.2022100.

Full text

Abstract:

<abstract>In this paper, we discuss the generalized quasilinear Schrödinger equation with nonlocal term: <disp-formula> <label/> <tex-math id="FE1"> \begin{document} $ \begin{align} -\mathrm{div}(g^{2}(u)\nabla u)+g(u)g'(u)|\nabla u|^{2}+V(x)u = \left(|x|^{-\mu}\ast F(u)\right)f( u),\; \; x\in \mathbb{R}^{N}, \;\;\;\;\;\;\;\;({{\rm{P}}})\end{align} $ \end{document} </tex-math> </disp-formula> where $ N\geq 3 $, $ \mu\in(0, N) $, $ g\in \mathbb{C}^{1}(\mathbb{R}, \mathbb{R}^{+}) $, $ V\in \mathbb{C}^{1}(\mathbb{R}^N, \mathbb{R}) $ and $ f\in \mathbb{C}(\mathbb{R}, \mathbb{R}) $. Under some "Berestycki-Lions type conditions" on the nonlinearity $ f $ which are almost necessary, we prove that problem $ (\rm P) $ has a nontrivial solution $ \bar{u}\in H^{1}(\mathbb{R}^{N}) $ such that $ \bar{v} = G(\bar{u}) $ is a ground state solution of the following problem <disp-formula> <label/> <tex-math id="FE2"> \begin{document} $ \begin{align} - \Delta v+V(x)\frac{G^{-1}(v)}{g(G^{-1}(v))} = \left(|x|^{-\mu}\ast F(G^{-1}(v))\right)f( G^{-1}(v)),\; \; x\in \mathbb{R}^{N}, \;\;\;\;\;\;\;\;({{\rm{\bar P}}})\end{align} $ \end{document} </tex-math> </disp-formula> where $ G(t): = \int_{0}^{t} g(s) ds $. We also give a minimax characterization for the ground state solution $ \bar{v} $.</abstract>

APA, Harvard, Vancouver, ISO, and other styles

26

Stankiewicz, Antoni. "Błąd co do istotnych przymiotów i sakramentalności małżeństwa." Prawo Kanoniczne 28, no. 3-4 (December 10, 1985): 17–31. http://dx.doi.org/10.21697/pk.1985.28.3-4.02.

Full text

Abstract:

lu x ta can. 1099 C IC a. 1983 e rro r circa m a trim o n ii u n ita tc m vel in -d isso lu b ilitate m a u t sac ra m e n ta le m d ig n itatem , d u m m o d o n o n d e te rm in e t v o lu n ta te m , n o n v itia t co n sen su m m atrim o n ialem .F o rm u lâ t» h u iu s canomis d iffe rt ab ilia can. 1.084 C IC a. 19117, qu o -n ia m (in te x tu can !1099 om issa est d en o m in atio e rro ris ta m q u a m„siiimplicis”, e t locutio „etsi d e t cau sam c o n tra c ta i” m u ta ta est in aliam ,id est „dum m odo n o n d e te rm in e t v o lu n ta te m ”.N o tan d u m est tarn en p ra e fa tu m can. 1099, slcu t de cetero can. 1084Codicis a. 1017, efficaciam iu rid ic a m eiu sm o d i e rro ri p e r se negare,cu m s ta tu a t e rro re m circa p ro p rie ta te s essen tiales et sa c ra m e n ta le md ig n ita te m m a trim o n ii co nsensum m a trim o n ialem n o n v itiare.Niihdloseclus p ra e te r fig u ra m e rro ris q u i effectu s iu rid ico s n o n p ro -d u cit, can. 109:9 a d m ittit et a lia m e rro ris iu ris fig u ram , q u i n em p e v o lu n ta te m contraibentis d e te rm in a re potest. T alis a u te m e rro r, q u i vocairi p o te st e rro r-v ltiu m , tu n c v e rific a tu r, cu m fit u n icu m m o tiv u mv o lu o tate m d e te rm in a n s ad elig en d u m sch em a m a trim o n ia le (re tarn enaigitur de sc h e m a te p se u d o -m atrim o n iali) co n fo rm e p lacitis exroneis,id e st co n so rtiu m solubile, polygam icum , n a n sa e ra m e n ta le. P ro fectoex hoc e rro re p ro c ed it v o lu n ta tis d e term in atio co n tra p ro p rie ta te s(essentiales vel sac ra m e n ta le m d ig n ita te m m atrim o n ii, ddscoirdiam efficiens tem p o re c o n tra ctu s in te r v o lu n ta te m internam i ta li e rro re d ete rrn in a ta m et e x te rn a m eius d ecla ratio n em , q u ae c o n seq u en ter v a lid u m v in cu lu m m a trim o n iale, ad instair can. 1101 § 2, p ro d u c ere n o nv alet.

APA, Harvard, Vancouver, ISO, and other styles

27

Jamzaroh, Siti. "REFLEKS FONEM PAN PADA BAHASA BAKUMPAI (THE PAN PHONEMES REFLEXES ON BAKUMPAI LANGUAGE)." Metalingua: Jurnal Penelitian Bahasa 17, no. 2 (December 31, 2019): 191. http://dx.doi.org/10.26499/metalingua.v17i2.415.

Full text

Abstract:

AbstakPenelitian ini termasuk dalam bidang kajian linguistik historis komparatif. Tujuan penelitian ini adalah: 1) mendeskripsikan protofonem PAN yang mengalami retensi pada bahasa Bakumpai; 2) mengetahui fonem PAN yang mengalami perkembangan inovasi merger dan split pada bahasa Bakumpai. Ancangan penelitian termasuk penelitian kualitatif. Metode yang digunakan adalah metode rekonstruski top-down. Hasil yang ditemukan adalah peristiwa perubahan fonem yang terjadi, yaitu sebagai berikut: a) retensi atau pewarisan fonem tanpa mengalami perkembangan antara lain konsonan /p,b,m,n,ŋ,ñ,l,r.s/, diftong /aw/ dan /uy/ dan vokal /i,u/; b) inovasi atau perubahan fonem split atau pemencaran, terjadi pada protofonem: *v->(b,w); *k  (k,h); R  (h,s,Φ); *d(r,d,t,j); *t (s,k,j); uy  (uy,Φ); *a  (a,ɛ); *q,*?  (k,h,Φ); dan c) merger atau penggabungan, terjadi pada beberapa protofonem PAN menjadi satufonem bahasa Bakumpai; (*s,*t,*R)s; (*t,*d)  t; (*b,*v)b; *k,*R,*qh; *w,*v w; dan *r,*d r.

APA, Harvard, Vancouver, ISO, and other styles

28

Tinant, B., M. Laurent, and J. Marchand-Brynaert. "Crystal structure of N-(diphenyl)methyl-N-(3′,3′-dimethyl-2′-oxo)butyl- 2(R),3(R)-epoxybutyramide, C23H27NO3." Zeitschrift für Kristallographie - New Crystal Structures 221, no. 1 (March 2006): 68–70. http://dx.doi.org/10.1524/ncrs.2006.221.1.68.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Gul, Lubna, Gohar Ali, Usama Waheed, and Nudrat Aamir. "The Optimal Graph Whose Least Eigenvalue is Minimal among All Graphs via 1-2 Adjacency Matrix." Journal of Mathematics 2021 (November 17, 2021): 1–4. http://dx.doi.org/10.1155/2021/8016237.

Full text

Abstract:

All graphs under consideration are finite, simple, connected, and undirected. Adjacency matrix of a graph G is 0,1 matrix A = a i j = 0 , i f v i = v j o r d v i , v j ≥ 2 1 , i f d v i , v j = 1. . Here in this paper, we discussed new type of adjacency matrix known by 1-2 adjacency matrix defined as A 1,2 G = a i j = 0 , i f v i = v j o r d v i , v j ≥ 3 1 , i f d v i , v j = 2 , from eigenvalues of the graph, we mean eigenvalues of the 1-2 adjacency matrix. Let T n c be the set of the complement of trees of order n . In this paper, we characterized a unique graph whose least eigenvalue is minimal among all the graphs in T n c .

APA, Harvard, Vancouver, ISO, and other styles

30

He, Fangguo, and Zhongxun Zhu. "The Extremal Cacti on Multiplicative Degree-Kirchhoff Index." Mathematics 7, no. 1 (January 15, 2019): 83. http://dx.doi.org/10.3390/math7010083.

Full text

Abstract:

For a graph G, the resistance distance r G ( x , y ) is defined to be the effective resistance between vertices x and y, the multiplicative degree-Kirchhoff index R ∗ ( G ) = ∑ { x , y } ⊂ V ( G ) d G ( x ) d G ( y ) r G ( x , y ) , where d G ( x ) is the degree of vertex x, and V ( G ) denotes the vertex set of G. L. Feng et al. obtained the element in C a c t ( n ; t ) with first-minimum multiplicative degree-Kirchhoff index. In this paper, we first give some transformations on R ∗ ( G ) , and then, by these transformations, the second-minimum multiplicative degree-Kirchhoff index and the corresponding extremal graph are determined, respectively.

APA, Harvard, Vancouver, ISO, and other styles

31

Al-Sulami, Hamed H., Jamshaid Ahmad, Nawab Hussain, and Abdul Latif. "Solutions to Fredholm Integral Inclusions via Generalized Fuzzy Contractions." Mathematics 7, no. 9 (September 2, 2019): 808. http://dx.doi.org/10.3390/math7090808.

Full text

Abstract:

The aim of this study is to investigate the existence of solutions for the following Fredholm integral inclusion φ ( t ) ∈ f ( t ) + ∫ 0 1 K ( t , s , φ ( s ) ) ϱ s for t ∈ [ 0 , 1 ] , where f ∈ C [ 0 , 1 ] is a given real-valued function and K : [ 0 , 1 ] × [ 0 , 1 ] × R → K c v ( R ) a given multivalued operator, where K c v represents the family of non-empty compact and convex subsets of R , φ ∈ C [ 0 , 1 ] is the unknown function and ϱ is a metric defined on C [ 0 , 1 ] . To attain this target, we take advantage of fixed point theorems for α -fuzzy mappings satisfying a new class of contractive conditions in the context of complete metric spaces. We derive new fixed point results which extend and improve the well-known results of Banach, Kannan, Chatterjea, Reich, Hardy-Rogers, Berinde and Ćirić by means of this new class of contractions. We also give a significantly non-trivial example to support our new results.

APA, Harvard, Vancouver, ISO, and other styles

32

Huang, Ting, Zhibo Hou, and Yongjie Han. "Global existence and boundedness in a two-species chemotaxis system with nonlinear diffusion." Open Mathematics 19, no. 1 (January 1, 2021): 949–62. http://dx.doi.org/10.1515/math-2021-0074.

Full text

Abstract:

Abstract This paper is concerned with a chemotaxis system u t = Δ u m − ∇ ⋅ ( χ 1 ( w ) u ∇ w ) + μ 1 u ( 1 − u − a 1 v ) , x ∈ Ω , t > 0 , v t = Δ v n − ∇ ⋅ ( χ 2 ( w ) v ∇ w ) + μ 2 v ( 1 − a 2 u − v ) , x ∈ Ω , t > 0 , w t = Δ w − ( α u + β v ) w , x ∈ Ω , t > 0 , \left\{\begin{array}{ll}{u}_{t}=\Delta {u}^{m}-\nabla \cdot \left({\chi }_{1}\left(w)u\nabla w)+{\mu }_{1}u\left(1-u-{a}_{1}v),& x\in \Omega ,\hspace{0.33em}t\gt 0,\\ {v}_{t}=\Delta {v}^{n}-\nabla \cdot \left({\chi }_{2}\left(w)v\nabla w)+{\mu }_{2}v\left(1-{a}_{2}u-v),& x\in \Omega ,\hspace{0.33em}t\gt 0,\\ {w}_{t}=\Delta w-\left(\alpha u+\beta v)w,& x\in \Omega ,\hspace{0.33em}t\gt 0,\end{array}\right. under homogeneous Neumann boundary conditions in a bounded domain Ω ⊂ R 3 \Omega \subset {{\mathbb{R}}}^{3} with smooth boundary, where μ 1 , μ 2 > 0 {\mu }_{1},{\mu }_{2}\gt 0 , a 1 , a 2 > 0 {a}_{1},{a}_{2}\gt 0 , α , β > 0 \alpha ,\beta \gt 0 , and the chemotactic sensitivity function χ i ∈ C 1 ( [ 0 , ∞ ) ) {\chi }_{i}\in {C}^{1}({[}0,\infty )) , χ i ′ ≥ 0 {\chi }_{i}^{^{\prime} }\ge 0 . It is proved that for any large initial data, for any m , n > 1 m,n\gt 1 , the system admits a global weak solution, which is uniformly bounded.

APA, Harvard, Vancouver, ISO, and other styles

33

Retno, Raras Setyo, Pujiati Pujiati, and Sri Utami. "PELATIHAN PEMBUATAN VIRGIN COCONUT OIL (VCO) SECARA FERMENTASI DI DESA BELOTAN, BENDO, MAGETAN." Jurnal Terapan Abdimas 1 (January 1, 2016): 35. http://dx.doi.org/10.25273/jta.v1i1.340.

Full text

Abstract:

VCO(Virgin Coconut Oil) isderivedfrom the old fresh fruit ofthe oilpalm(Cocosnucifera). VCOis apurecoconutoilthat resistant to heat, light, oxygenanddegradationprocess, becauseits chemical structurecontains nodouble bonds. Other characteristics of theVCOis to have aclearcolor, softaromaanddelicious taste. VCO can be process with physical, chemicalandbiological technique. Inbiology, the process of makingthe VCOis donethroughfermentationtechniquesthatusing yeastSaccharomycescereviseae. The manybenefits andbusiness opportunitiesof VCO, makingmanypeople tostart a businessinthisfield.BelotanVillage, District BendoMagetanisone of the villagesthat have the potentialtodoand to develop the VCO business because inthevillagemanylocaloil plantsthathave not beenutilizedas well as possible. The aim ofthiscommunity serviceis(1) I n t r o d u c i n g t h e s i m p l e t e c h n o l o g y t o m a k i n g V C O , ( 2 ) P r o v i d e g u i d a n c e t o t h e publicthatverymanybenefitsofVCO(3) Providea discourseon the establishment ofsmall businessesVCOandmarketing managementtothesevillagecommunities

APA, Harvard, Vancouver, ISO, and other styles

34

Chen, Sitong, Binlin Zhang, and Xianhua Tang. "Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity." Advances in Nonlinear Analysis 9, no. 1 (September 20, 2018): 148–67. http://dx.doi.org/10.1515/anona-2018-0147.

Full text

Abstract:

Abstract This paper is concerned with the following Kirchhoff-type problem with convolution nonlinearity: -\bigg{(}a+b\int_{\mathbb{R}^{3}}\lvert\nabla u|^{2}\,\mathrm{d}x\bigg{)}% \Delta u+V(x)u=(I_{\alpha}*F(u))f(u),\quad x\in{\mathbb{R}}^{3},\,u\in H^{1}(% \mathbb{R}^{3}), where {a,b>0} , {I_{\alpha}\colon\mathbb{R}^{3}\rightarrow\mathbb{R}} , with {\alpha\in(0,3)} , is the Riesz potential, {V\in\mathcal{C}(\mathbb{R}^{3},[0,\infty))} , {f\in\mathcal{C}(\mathbb{R},\mathbb{R})} and {F(t)\kern-1.0pt=\kern-1.0pt\int_{0}^{t}f(s)\,\mathrm{d}s} . By using variational and some new analytical techniques, we prove that the above problem admits ground state solutions under mild assumptions on V and f. Moreover, we give a non-existence result. In particular, our results extend and improve the existing ones, and fill a gap in the case where {f(u)=|u|^{q-2}u} , with {q\in(1+\alpha/3,2]} .

APA, Harvard, Vancouver, ISO, and other styles

35

Saito, Hiroshi. "A note on cubic equivalences." Nagoya Mathematical Journal 101 (March 1986): 1–26. http://dx.doi.org/10.1017/s0027763000000313.

Full text

Abstract:

The present note is intended to be a supplement to [9], in which the following is proven: Let V be a smooth projective variety over the field of complex numbers C, T a smooth quasi-projective variety, Z a cycle in T × V of codimension p. If Z(t) is l-cube equivalent to zero for general t e T, then, setting r = dim V − p,vanishes for l′ < l, where {tZ} is the correspondence defined by Z.

APA, Harvard, Vancouver, ISO, and other styles

36

Khan, Majid, Zahid Rasheed, Syed Masroor Anwar, and Jimmy Joseph Namangale. "Triple Homogeneously Weighted Moving Average Charts for Monitoring Process Dispersion." Mathematical Problems in Engineering 2023 (February 3, 2023): 1–34. http://dx.doi.org/10.1155/2023/6996280.

Full text

Abstract:

Homogeneously weighted moving average ( H W M A ) charts have recently achieved popularity for monitoring small changes in process parameters (location and/or dispersion). Furthermore, the D H W M A (double H W M A ) and T H W M A (triple H W M A ) are the advanced versions of the H W M A charts. The H W M A chart for the process dispersion is designed to detect only the upward (one-sided) shift (i.e., process deterioration). Employing a two-sided chart for concurrently detecting both process improvement and process deterioration is an important aspect of statistical process monitoring. By taking this point as motivation, one and two-sided T H W M A charts (symbolized as the T H W M A V ) are proposed for monitoring the process dispersion. The Monte Carlo simulations are performed to investigate the performance behavior of the T H W M A V charts in terms of certain performance indicators, including A R L , S D R L , E Q L , R A R L , and P C I . The comparison among the T H W M A V versus existing charts ( D H W M A V , H W M A V , T E W M A V , D E W M A V , and E W M A V ) indicates that the T H W M A V charts outperform the existing charts. Finally, a dataset is also analyzed to illustrate the implementation of the T H W M A V charts.

APA, Harvard, Vancouver, ISO, and other styles

37

Brauner, Tobias, Christoph Wagner, and Kurt Merzweiler. "The crystal structure of Hexakis(diethylamido)dimolybdenum, Mo2(NEt2)6." Zeitschrift für Kristallographie - New Crystal Structures 236, no. 4 (May 18, 2021): 887–89. http://dx.doi.org/10.1515/ncrs-2021-0138.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Reiss, Guido J., and Maik Wyshusek. "Cones with a three-fold symmetry constructed from three hydrogen bonded theophyllinium cations that coat [FeCl₄]⁻ anions in the crystal structure of tris(theophyllinium) bis(tetrachloridoferrate(III)) chloride trihydrate, C₂₁H₃₃Cl₉Fe₂N₁₂O₉." Zeitschrift für Kristallographie - New Crystal Structures 237, no. 1 (December 7, 2021): 121–24. http://dx.doi.org/10.1515/ncrs-2021-0399.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

Salino, Alexandre, and João Semir. "Thelypteridaceae (Polypodiophyta) from São Paulo State: Macrothelypteris and Thelypteris subgenera Cyclosorus e Steiropteris." Lundiana: International Journal of Biodiversity 3, no. 1 (February 1, 2002): 9–27. http://dx.doi.org/10.35699/2675-5327.2002.21778.

Full text

Abstract:

The Thelypteridaceae Pic. Serm. is represented in the state of São Paulo by 56 species, one in the genus Macrothelypteris (H. Itô) Ching [M. torresiana (Gaudich.) Ching], and 55 in the genus Thelypteris Schmidel, the later distributed among five subgenera. The results on a revision of the species of Thelypteridaceae occurring in São Paulo state concerning Thelypteris subg. Cyclosorus (Link) C. V. Morton and Thelypteris subg. Steiropteris (C. Chr.) K. Iwats. are presented here. Thelypteris subg. Cyclosorus is represented by seven species: T. berroi (C. Chr.) C. F. Reed, T. conspersa (Schrad.) A. R. Sm., T. dentata (Forssk.) E. St. John, T. grandis A. R. Sm., T. hispidula (Decne.) C. F. Reed, T. interrupta (Willd.) K. Iwats. and T. patens (Sw.) Small. Thelypteris subg. Steiropteris is represented by four species: T. decussata (L.) Proctor, T. gardneriana (Baker) C. F. Reed, T. hatschbachii A. R. Sm. and T. leprieurii (Hook.) R. M. Tryon. Keys to the genera of Thelypteridaceae, subgenera of Thelypteris and species of Thelypteris subg. Cyclosorus and Thelypteris subg. Steiropteris, descriptions, illustrations, commentaries and data on geographical distribution are provided. Keywords: Thelypteridaceae, Macrothelypteris, Thelypteris Cyclosorus steiropteris, Taxonomy.

APA, Harvard, Vancouver, ISO, and other styles

40

Zheng, Yue, Chen Lizhen, Chao Hui, Wei Chenglong, Li Zhihua, and Cao Duanlin. "The crystal structure of dipentaerthritol hexanitrate, C10H16N6O19." Zeitschrift für Kristallographie - New Crystal Structures 236, no. 1 (January 26, 2021): 55–56. http://dx.doi.org/10.1515/ncrs-2020-0443.

Full text

Abstract:

Abstract${\text{C}}_{10}{\text{H}}_{16}{\text{N}}_{6}{\text{O}}_{19}$, monoclinic, C2/c (no. 15), a = 29.980(5) Å, b = 8.4695(17) Å, c = 20.719(4) Å, β = 128.124(7)°, V = 4138.7(16) Å3, Z = 8, ${R}_{gt}$(F) = 0.0587, $w{R}_{ref}$(F2) = 0.1683, T = 170 K.

APA, Harvard, Vancouver, ISO, and other styles

41

Parvez, Masood, Muhammad Bakhtiar, Muhammad Baqir, and Muhammad Zia-ur-Rehman. "Crystal Structures of Four Novel Thiophene/Phenyl-piperidine Hybrid Chalcones." Acta Crystallographica Section A Foundations and Advances 70, a1 (August 5, 2014): C1020. http://dx.doi.org/10.1107/s2053273314089797.

Full text

Abstract:

Chalcones constitute an important class of bioactive drug targets in the pharmaceutical industry that includes anti-ulcerative drug sofalcone. In continuation of our work, the crystal structures of four closely related 1-phenyl-piperidine based chalcones will be presented. I: C19 H21NOS, MW = 311.43, T = 173(2) K, λ = 0.71073 Å, Orthorhombic, P b c a, a = 10.1045(4), b = 10.5358(4), c = 30.6337(12) Å, V = 3261.2(2) Å3, Z = 8, Dc = 1.269 Mg/m3, F (000) = 1328, R [I>2σ(I)] = 0.059. II: C18H19NOS, MW = 297.40, T = 173(2) K, λ = 1.54178 Å, Orthorhombic, P b c a, a = 8.9236(2), b = 11.0227(2), c = 30.8168(6) Å, V = 3031.21(11) Å3 Z = 8, Dc = 1.303 Mg/m3, F (000) = 1264, R [I>2σ(I)] = 0.035. III: C18H19NOS, MW = 297.40, T = 173(2) K, λ = 1.54178 Å, Orthorhombic, P b c a, a = 8.82990(10), b = 11.0061(2), c = 31.2106(5) Å, V = 3033.13(8) Å3, Z = 8, Dc = 1.303 Mg/m3, F (000) = 1264, R [I>2σ(I)] = 0.048. IV: C18H18ClNOS, MW = 331.84, T = 173(2) K, λ = 0.71073 Å, Monoclinic, P 21/c, a = 14.1037(4), b = 11.3153(3), c = 10.1290(2) Å, β = 101.1367(14)0, V = 1586.02(7) Å3, Z = 4, Dc = 1.390 Mg/m3, F (000) = 696, R [I>2σ(I)] = 0.038. The crystals of I, II and III are isomorphous. In all structures, the piperidine rings are in chair conformations, thiophene rings are essentially planar and the C=C bonds in the prop-2-en-1-one fragment adopt E-conformation. All crystal structures are devoid of any classical hydrogen bonds. However, non-classical hydrogen bonding interactions of the type C---H...O in compounds II, III and IV link the molecules into chains extended along the b-axis. Moreover, C---H...Cg interactions involving thiophene rings in I and III and benzene ring in IV and π...π interactions between benzene rings lying about inversion centers are present in II and III.

APA, Harvard, Vancouver, ISO, and other styles

42

Manana, Pholani, Eric C. Hosten, and Richard Betz. "Crystal structure of DL-α-(methylaminomethyl)benzyl alcohol, C9H13NO." Zeitschrift für Kristallographie - New Crystal Structures 236, no. 1 (January 26, 2021): 51–53. http://dx.doi.org/10.1515/ncrs-2020-0433.

Full text

Abstract:

Abstract${\text{C}}_{9}{\text{H}}_{13}\text{NO}$, orthorhombic, Pbcn (no. 60), a = 29.554(4) Å, b = 7.4930(11) Å, c = 8.2800(10) Å, V = 1833.6(4) Å3, Z = 8, ${R}_{gt}$(F) = 0.0737, $w{R}_{ref}$(${F}^{2}$) = 0.1646, T = 200 K.

APA, Harvard, Vancouver, ISO, and other styles

43

Akselrud, L. G., M. Hanfland, and U. Schwarz. "Refinement of the crystal structure of Sb-I, at 2.22 GPa." Zeitschrift für Kristallographie - New Crystal Structures 218, no. 4 (December 2003): 414. http://dx.doi.org/10.1524/ncrs.2003.218.4.414.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

James, Margaret Ann, Jason A. C. Clyburne, Anthony Linden, Bruce D. James, John Liesegang, and Vilma Zuzich. "Structural diversity in thallium chemistry: structures of four chlorothallate(III) salts including a novel compound containing three geometrically different anions." Canadian Journal of Chemistry 74, no. 8 (August 1, 1996): 1490–502. http://dx.doi.org/10.1139/v96-166.

Full text

Abstract:

Four new thallium-containing salts with different alkyl ammonium cations have been prepared and characterized by X-ray crystallography: 1: bis(p-toluidinium) pentachlorothallate(III), [CH3C6H4NH3]2 [TlCl5], M = 597.9, monoclinic, P21/c, a = 7.515(2), b = 21.376(6), c = 12.769(2) Å, β = 92.13(2)°, V = 2050(1) Å3, Z = 4, Dcalc = 1.937 Mg m−3, µ = 8.512 mm−1, T = 293(1) K, R = 0.046; 2: 1,5-pentanediammonium pentachlorothallate(III), [NH3(CH2)5NH3] [TlCl5], M = 485.83, orthorhombic, P212121, a = 13.226(2), b = 13.595(2), c = 7.628(2) Å, V = 1371.6(3) Å3, Z = 4, Dcalc = 2.352 Mg m−3, µ = 12.84 mm−1, T = 173(1) K, R = 0.025; 3: pentakis(2-adamantaneammoniumn) bistetrachlorothallate(III) hexachlorothallate(III), [C10H18N]5 [TlCl4]2[TlCl6], M = 1870.75, monoclinic, P21a = 16.466(5), b = 25.985(2), c = 7.724(3) Å, β = 90.14(3)°, V = 3305(2) Å3, Z = 2, Dcalc = 1.880 Mg m−3, µ = 7.978 mm−1, T = 173(1) K, R = 0.056; 4: bis(piperazinium) decachlorodithallate(III) trihydrate, [NH2C4H8NH2]2 [Tl2Cl10]•3H2O, M = 993.62, monoclinic, C2/c, a = 14.154(3), b = 15.445(3), c = 13.228(3) Å, β = 114.44(1)°, V = 2632.7(9) Å3, Z = 4, Dcalc = 2.506 Mg m−3, µ = 13.39 mm−1, T = 173(1) K, R = 0.026. For most of the salts examined, formation of [TlCl5]2− is possible; however, no isolated [TlCl5]2− anions were observed. In most cases, high coordination numbers at thallium were observed (CN = 6), and these can be achieved via formation of anionic chains or through dimerization, giving [Tl2Cl10]4−. Of particular interest is the solid state structure of salt 3 in which there are three geometrically different chlorothallate ions. Extensive hydrogen-bonding networks are observed in each structure. Key words: thallium, thallium(III) chlorides, chlorothallate, hydrogen bonding, alkyl ammonium cations.

APA, Harvard, Vancouver, ISO, and other styles

45

Holz, J., A. Börner, A. Spannenberg, C. Pribbenow, D. Heller, and H. J. Drexler. "Crystal structure of (η4-norborna-2,5-dien)-(1,2-bis((R,R)-2,5-bis- (methoxymethyl)phospholanyl)benzene)rhodium(I) tetrafluoroborate, [Rh(C22H36O4P2)(C7H8)](BF4)." Zeitschrift für Kristallographie - New Crystal Structures 219, no. 2 (June 2004): 199–200. http://dx.doi.org/10.1524/ncrs.2004.219.2.199.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Niewa, R., D. A. Zherebtsov, and P. Höhn. "Crystal structure of tristrontium tetranitridochromate(VI), Sr3[CrN4]." Zeitschrift für Kristallographie - New Crystal Structures 218, no. 2 (June 2003): 163. http://dx.doi.org/10.1524/ncrs.2003.218.2.163.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Mathews, M. D., A. K. Tyagi, and J. Köhler. "Crystal structure of dialuminum difluorotetraoxogermanate, Al2GeO4F2." Zeitschrift für Kristallographie - New Crystal Structures 218, no. 3 (September 2003): 276. http://dx.doi.org/10.1524/ncrs.2003.218.3.276.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Wang, Shifen, and Qingying Xue. "On weighted compactness of commutators of bilinear maximal Calderón–Zygmund singular integral operators." Forum Mathematicum 34, no. 2 (January 6, 2022): 307–22. http://dx.doi.org/10.1515/forum-2020-0357.

Full text

Abstract:

Abstract Let T be a bilinear Calderón–Zygmund singular integral operator and let T * {T^{*}} be its corresponding truncated maximal operator. For any b ∈ BMO ⁡ ( ℝ n ) {b\in\operatorname{BMO}({\mathbb{R}^{n}})} and b → = ( b 1 , b 2 ) ∈ BMO ⁡ ( ℝ n ) × BMO ⁡ ( ℝ n ) {\vec{b}=(b_{1},b_{2})\in\operatorname{BMO}({\mathbb{R}^{n}})\times% \operatorname{BMO}({\mathbb{R}^{n}})} , let T b , j * {T^{*}_{b,j}} ( j = 1 , 2 {j=1,2} ) and T b → * {T^{*}_{\vec{b}}} be the commutators in the j-th entry and the iterated commutators of T * {T^{*}} , respectively. In this paper, for all 1 < p 1 , p 2 < ∞ {1<p_{1},p_{2}<\infty} , 1 p = 1 p 1 + 1 p 2 {\frac{1}{p}=\frac{1}{p_{1}}+\frac{1}{p_{2}}} , we show that T b , j * {T^{*}_{b,j}} and T b → * {T^{*}_{\vec{b}}} are compact operators from L p 1 ⁢ ( w 1 ) × L p 2 ⁢ ( w 2 ) {L^{p_{1}}(w_{1})\times L^{p_{2}}(w_{2})} to L p ⁢ ( v w → ) {L^{p}(v_{\vec{w}})} if b , b 1 , b 2 ∈ CMO ⁡ ( ℝ n ) {b,b_{1},b_{2}\in\operatorname{CMO}(\mathbb{R}^{n})} and w → = ( w 1 , w 2 ) ∈ A p → {\vec{w}=(w_{1},w_{2})\in A_{\vec{p}}} , v w → = w 1 p / p 1 ⁢ w 2 p / p 2 {v_{\vec{w}}=w_{1}^{p/p_{1}}w_{2}^{p/p_{2}}} . Here CMO ⁡ ( ℝ n ) {\operatorname{CMO}(\mathbb{R}^{n})} denotes the closure of 𝒞 c ∞ ⁢ ( ℝ n ) {\mathcal{C}_{c}^{\infty}(\mathbb{R}^{n})} in the BMO ⁡ ( ℝ n ) {\operatorname{BMO}(\mathbb{R}^{n})} topology and A p → {A_{\vec{p}}} is the multiple weights class.

APA, Harvard, Vancouver, ISO, and other styles

49

Luan, Ming-Zhu, Hui-yun Wang, Mei Zhang, Jia Song, Gui-Ge Hou, Feng-Lan Zhao, and Qing-Guo Meng. "Crystal structure of (E)-2-(3,5-bis(trifluoromethyl)benzylidene)-7-methoxy-3,4-dihydronaphthalen- 1(2H)-one, C20H14F6O2." Zeitschrift für Kristallographie - New Crystal Structures 236, no. 1 (January 26, 2021): 61–63. http://dx.doi.org/10.1515/ncrs-2020-0446.

Full text

Abstract:

Abstract${\text{C}}_{20}{\text{H}}_{14}{\text{F}}_{6}{\text{O}}_{2}$, monoclinic, P21/c (no. 14), a = 14.791(2) Å, b = 8.5303(9) Å, c = 15.531(3) Å, β = 115.474(19)°, V = 1769.1(5) Å3, Z = 4, ${R}_{gt}$(F) = 0.0574, $w\,{R}_{\text{ref}}$(F2) = 0.1451, T = 100 K.CCDC no.: 2016723

APA, Harvard, Vancouver, ISO, and other styles

50

Chen, Qinbo, and Rafael de la Llave. "Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems." Nonlinearity 35, no. 4 (March 9, 2022): 1986–2019. http://dx.doi.org/10.1088/1361-6544/ac50bb.

Full text

Abstract:

Abstract The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following a priori unstable Hamiltonian system with a time-periodic perturbation H ε ( p , q , I , φ , t ) = h ( I ) + ∑ i = 1 n ± 1 2 p i 2 + V i ( q i ) + ε H 1 ( p , q , I , φ , t ) , where ( p , q ) ∈ R n × T n , ( I , φ ) ∈ R d × T d with n, d ⩾ 1, V i are Morse potentials, and ɛ is a small non-zero parameter. The unperturbed Hamiltonian is not necessarily convex, and the induced inner dynamics does not need to satisfy a twist condition. Using geometric methods we prove that Arnold diffusion occurs for generic analytic perturbations H 1. Indeed, the set of admissible H 1 is C ω dense and C 3 open (a fortiori, C ω open). Our perturbative technique for the genericity is valid in the C k topology for all k ∈ [3, ∞) ∪ {∞, ω}.

APA, Harvard, Vancouver, ISO, and other styles

Journal articles on the topic 'Progetto V.E.C.T.O.R'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles