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1.
In this work, we study the Asanov Finsler metric F=α(β2/α2 gβ/α 1)1/2exp{(G/2)arctan[β/(hα) G/2]}, where α=(αijyiyj)1/2 is a Riemannian metric and β=biyj is a 1-form, g∈(-2,2), h=(1-g2/4)1/2, G=g/h. We give the necessary and sufficient condition for Asanov metric to be locally projectively flat, i.e., α is projectively flat and β is parallel with respect to α. Moreover, we proved that the Douglas tensor of Asanov Finsler metric vanishes if and only if β is parallel with respect to α.  相似文献   

2.
Let Γd2nbe the set of trees with a given diameter d having a perfect matching,where 2n is the number of vertex.For a tree T in Γd2n,let Pd+1be a diameter of T and q = d m,where m is the number of the edges of perfect matching inPd+1.It can be found that the trees with minimal energy in Γd2nfor four cases q = d 2,d 3,d 4,[d2],and two remarks aregiven about the trees with minimal energy in Γd2nfor2d 33q d 5 and [d2] + 1 q2d 33 1.  相似文献   

3.
Congruences for finite triple harmonic sums   总被引:1,自引:0,他引:1  
Zhao (2003a) first established a congruence for any odd prime p>3, S(1,1,1;p)≡-2Bp-3 (mod p), which holds when p=3 evidently. In this paper, we consider finite triple harmonic sum S(α,β,γ;p) (mod p) is considered for all positive integers α,β,γ. We refer to w=α β γ as the weight of the sum, and show that if w is even, S(α,β,γ;p)≡0 (mod p) for p≥w 3; if w is odd, S(α,β,γ;p)≡rBp≥w (mod p) for p≥w, here r is an explicit rational number independent of p. A congruence of Catalan number is obtained as a special case.  相似文献   

4.
INTRODUCTION Throughout this paper, we shall work with a filtered complete probability space (?,F,(Ft),P) sat-isfying the usual conditions. Let B=(Bt)t≥0 be a stan-dard Brownian motion with B0=0. Denote by ú the set of all non-negative real numbers. Recall that a diffusion process X starting at x≥0 is called the square of a Bessel process of dimension δ>0 if d X t = δd t 2 | X t |d Bt , X 0= x, (1) Clearly, this equation has a unique non-negative strong solution X, i.e., …  相似文献   

5.
In this paper, we consider some polynomial (α,β)-metrics, and discuss the sufficient and necessary conditions for a Finsler metric in the form F=α a1β a2β2/α a4β4/α3 to be projectively flat, where ai (i=1,2,4) are constants with a1≠0, α is a Riemannian metric and β is a 1-form. By analyzing the geodesic coefficients and the divisibility of certain polynomials, we obtain that there are only five projectively flat cases for metrics of this type. This gives a classification for such kind of Finsler metrics.  相似文献   

6.
Consider the positive d-dimensional lattice d (d≥2) with partial ordering ≤, let {XK; K ∈ d } be i.i.d. random vari- ables taking values in a real separable Hilbert space (H, ||·||) with mean zero and covariance operator ∑, and set partial sums SN =∑K≤NXK, K , N ∈ d . Under some moment conditions, we obtain the precise asymptotics of a kind of weighted infinite series for partial sums SN as ε 0 by using the truncation and approximation methods. The results are related to the convergence rates of the law of the logarithm in Hilbert space, and they also extend the results of (Gut and Spǎtaru, 2003).  相似文献   

7.
INTRODUCTION One century ago, Hilbert announced his famous 23 problems. The Hilbert’s Fourth Problem is to characterize the (not-necessarily-reversible) distance functions on an open subset in ún such that straight lines are shortest paths. Distance functions induced by a Finsler metric are regarded as smooth ones. Thus Hilbert’s Fourth Problem in the smooth case is to characterize Finsler metric on an open subset in ún whose geodesics are straight lines. Finsler metric on an ope…  相似文献   

8.
1 Introduction Inthepastdecadeorso ,theexistenceofglobalat tractorsandtheestimatesoftheirHausdorffandfractaldimensionshavebeeninvestigatedfornumerousdissipa tivenonlinearpartialdifferentialequationswhichareau tonomous[1~ 4 ].Thenon autonomousinfinite dynami…  相似文献   

9.
Let K be a closed convex subset of a real reflexive Banach space E, T:K→K be a nonexpansive mapping, and f:K→K be a fixed weakly contractive (may not be contractive) mapping. Then for any t∈(0, 1), let x1∈K be the unique fixed point of the weak contraction x1→tf(x)+(1-t)Tx. If T has a fixed point and E admits a weakly sequentially continuous duality mapping from E to E^*, then it is shown that {xt} converges to a fixed point of T as t→0. The results presented here improve and generalize the corresponding results in (Xu, 2004).  相似文献   

10.
This research highlights the learning of female offenders on a 20-day tailor-made experiential adventure education course (Women in Action) delivered by Outward Bound New Zealand. The aims of the course were to increase self-awareness, to develop an understanding of the concept of choice and self responsibility, to improve communication skills and to effectively influence others. Twenty-seven women were interviewed immediately after the course and 14 of these, three months post-course. Most women indicated that their self-confidence had increased and they had become more self-aware. Key factors in facilitating learning opportunities for the women were the instructors and the course environment both physical and social. The holistic course approach provided physical, creative, emotional and reflective opportunities, enabling all the women to develop personally. The challenge of applying their learning on return to prison was highlighted by some participants.
Never did I think that

My life could be changed

In so many ways.

But the challenges I've faced

From being here Lord I Know

That I can make it.

Cos I gotta keep on

Moving on in life

Won't let my spirit fall

Walk on walk on.

Some people tell me

I'd never change.

But now I've seen the light

More clear in every kind of way

I'm alive today

No more worries on my shoulders

I'm gonna make it

Oh yes I am.

Cos I gotta keep on

Moving on in life

Won't let my spirit fall

Walk on walk on.

(Poem by T – Women in Action participant)  相似文献   

11.
1 Introduction We consider the finite digraphs that do not havemultiple arcs or loops , but pairs of opposite arcs areallowed.LetD=(V,A) be a digraph , whereVisthe set of vertices andAis the set of arcs .If there isan arc (x,y) fromxtoy,thenthe vertexxis …  相似文献   

12.
Short notices     

Methods of Research in Education. By J. E. Wise, R. B. Norlberg and D. R. Rietz. Pp. viii, 216. Boston: D. G. Heath. London: Harrap, 1967. 28s.

Innovation and Research in Education. By Michael Young. 2nd impression. Pp. viii, 182. London: Routledge &; Kegan Paul, 1967. 12s. 6d. paperback.

A Dictionary of Sociology. Edited by G. Duncan Mitchell. Pp. viii, 224. London: Routledge &; Kegan Paul, 1968. 25s.

Society and Education: A Book of Readings. Edited by R. J. Havighurst, B. L. Neugarten and J. M. Falk. Pp. xiv, 364. Boston: Allyn &; Bacon, 1967. N.P.

Talking and Writing: A Handbook for English Teachers. Edited by James Britton. Pp. xvi, 157. London: Methuen, 1967. 17s. 6d.

Children with Special Needs in the Infants School. By Lesley Webb. Pp. 216. London: Colin Smythe, 1967. 30s.

Primary School Inspection in New Countries. By W. A. Dodd. Pp. ix, 100. Oxford University Press, 1968. 9s. 6d.

Measurement and Evaluation of Learning. By A. J. Lien. Pp. xvi, 220. Dubuque, Iowa: Wm. G. Brown, 1967. $4.95.

Measuring Intelligence of Indian Children. By V. V. Kamat. 4th Edition, pp.xvi, 322. Oxford University Press, 1967. 45s.

Motor Aptitude and Intellectual Performance. By A. H. Ismail and J. J. Gruber. Pp. xvii, 199. Columbus, Ohio: Chas. Merrill Bks., 1968. $4.95.

Supervision in Youth Work. By M. Joan Tash. Pp. 175. London: Council of Social Service, 1967. 12s. 6d.

The Young Worker at College. By Ethel Venables. Pp. 240. London: Faber, 1967. 36s.

A Country Grammar School: A History of Ashby‐de‐la‐Zouch Grammar School through four centuries 1567 to 1967. By Levi Fox. Pp. xvi, 204. Oxford University Press for the Governors of the Foundation, Ashby‐de‐la‐Zouch, 1967. 35s.

Devon Village Schools in the Nineteenth Century. By Roger R. Sellman. Pp. 171. Newton Abbot: David and Charles, 1967. 35s.

George Ticknor and the Boston Brahmins. By David B. Tyack. Pp. x, 289. Harvard University Press. London: Oxford University Press, 1967. 56s.

New Designs for Learning: Highlights of the Reports of the Ontario Curriculum Institute, 1963–1966. Edited by Brian Burnham. Pp. xii, 326. Toronto University Press. London: Oxford University Press, 1967. 48s.

Schools of the Foothills Province: The Story of Public Education in Alberta. By John W. Chalmers. Pp. x, 489. Toronto University Press. London: Oxford University Press, 1967. 605.

King's College, BudoThe First Sixty Tears. By G. P. McGregor. Pp. x, 168. Oxford University Press, 1967. 26s. 6d.

The World Year Book of Education 1967: Educational Planning. Edited by G. F. Bereday and J. A. Lauwerys. Pp. xiv, 442. London: Evans Bros, 1967. 84s.

Directory of Postgraduate Courses and Opportunities 1968. Pp. 420. London: Cornmarket Press, 1968. Paperback 12s 6d. Students 5s.  相似文献   

13.
Reviews     

The Year Book of Education 1952. Pp. xii + 612. London : Evans Bros., 1952. 63s.

A Survey of Rewards and Punishments in Schools : A Report based on Researches carried out by M. E. Highfield and A. Pinsent. National Foundation for Educational Research in England and Wales Publication No. 3. Pp. xxiv+432. London: Newnes Educational Publishing Co., 1952. 42s.

Leisure the Basis of Culture. By Josef Pieper. Pp. 169. London: Faber &; Faber, 1952. 10s. 6d.

Philosophy of Education. By William Heard Kilpatrick. Pp. x+465. New York: Macmillan, 1951. 36s.

A Select Bibliography of Adult Education in Great Britain. Edited by T. Kelly. Pp. xii+84. London: National Institute of Adult Education, 1952. 12s. 6d.

The English Universities and Adult Education. By S. G. Raybould. Pp. xiii +169. London: W.E.A., 1951. 7s 6d.  相似文献   

14.
In this study we examined procedures for assessing model-data fit of item response theory (IRT) models for mixed format data. The model fit indices used in this study include PARSCALE's G2 , Orlando and Thissen's SX2 and SG2 , and Stone's χ2* and G2* . To investigate the relative performance of the fit statistics at the item level, we conducted two simulation studies: Type I error and power studies. We evaluated the performance of the item fit indices for various conditions of test length, sample size, and IRT models. Among the competing measures, the summed score-based indices SX2 and SG2 were found to be the sensible and efficient choice for assessing model fit for mixed format data. These indices performed well, particularly with short tests. The pseudo-observed score indices, χ2* and G2* , showed inflated Type I error rates in some simulation conditions. Consistent with the findings of current literature, the PARSCALE's G2 index was rarely useful, although it provided reasonable results for long tests.  相似文献   

15.
A discriminant method for optimizing activity in nuclear medicine studies is validated by comparison with ROC (received operating characteristic)-curves. The method is tested in 21 single photon emission computerized tomography (SPECT), performed with a cardiac phantom. Three different lesions (Lb L2 and L3) were placed in the myocardium-wall by pairs fbr each SPECT. Three activities (84, 37 or 18.5 MBq) of 99mTc were used as background. Linear discriminant analysis was used to select the parameters that characterize image quality among the measured variables in the images [(Background-to-Lesion (B/Li) and Signal-to-Noise (S/N) ratios)]. Two clusters with different image quality (P=0.021 ) were obtained. The ratios B/Lj, B/L2 and B/L3 are the parameters used to construct the function with 100% of cases correctly classified into the clusters. The value of 37 MBq was the lowest tested activity for which good results for the B/Li ratios were obtained. The result coincides with the applied ROC-analysis (r=0.89).  相似文献   

16.
Mervyn Romans, Basic Design: The Dynamics of Visual Form Louise Campbell, Carl and Karin Larsson: Creators of the Swedish Style Jewellery and Adornment: Information and Ideas for Teachers Constable: Information and Ideas for Teachers Drawing in Museums: Information and Ideas for Teachers Sculpture at the V&A: A Handbook for Teachers The Renaissance at the V&A: A Handbook for Teachers The 20th Century: A Teacher’s Guide Looking into The Tate: Exciting Ways to Explore the Tate Gallery’s Collection The Pre-Raphaelites and their World Movements in Modern Art Modernism Realism Surrealism Howard Hollands, Minimalism Penny Hay, Art, Craft and Design. A Practical Guide for Teachers Key Stages I & 2 Richard Yeomans, The Mosque and the Modern World: Architects Patrons and Design since the 1950s  相似文献   

17.
The aim of this research is to characterize the development of fatigue damage by means of stress-strain hysteresis. Experiments were conducted on 14 specimens made of cold-finished unannealed AISI 1018 steel. Results demonstrate that the mechanical hysteresis loop areas, when plotted as a function of the number of loading cycles, show significant variations and demonstrate the three principal stages concerning the progress of the fatigue failure--initial accommodation, accretion of damage and terminal failure. These three stages of fatigue are marked by the transitions at cycles N2 and N3. Experimental results show that although fatigue life Nf ranges from 2644 cycles to 108 992 cycles, the ratios of N2/Nf and N3/Nf tend to be stable: N2/Nf=I 0.7%, N3/Nf=91.3%.  相似文献   

18.
Male and female infants from rural Ethiopia were tested to investigate relations among hemoglobin (Hb), anthropometry, and attention. A longitudinal design was used to examine differences in attention performance from 6 (M = 24.9 weeks, n = 89) to 9 months of age (M = 40.6 weeks, n = 85), differences hypothesized to be related to changes in iron status and growth delays. Stunting (length‐for‐age z scores < ?2.0) and attention performance, t(30) = ?2.42, p = .022, worsened over time. Growth and Hb predicted attention at 9 months, R2 = .15, p < .05, but not at 6. The study contributes to the knowledge base concerning the relations among Hb, early growth, and attention.  相似文献   

19.
Koundinya Vajjha 《Resonance》2010,15(9):843-849
A Pythagorean triple is a triad of positive integers (x, y, z) which satisfy the Pythagoras’ equation x 2 + y 2 = z 2. In this article, we shall consider triples of the form (i, i + 1, k), and the recurrence relations governing them. In the process, we also solve completely the equation i 2+ (i + 1)2 = k 2.  相似文献   

20.
Heterogeneity in parenting was examined in 883 Arab refugee adolescents in Jordan (Mage = 15.01 years, SD = 1.60). Latent profile analyses of five parenting dimensions rated separately for mothers and fathers yielded authoritative, authoritarian, indifferent, punitive, and for mothers, permissive profiles, with most mothers (60%) and fathers (66%) classified as authoritative. Parenting was more often authoritative for women than men and punitive (for fathers) or permissive (for mothers) of boys than girls. Authoritative fathers and authoritarian mothers were better educated than punitive parents, whose offspring reported more norm breaking and internalizing symptoms and lower academic achievement than other youth. Adjustment was better when adolescents had at least one authoritative parent than when parents were either consistent or discrepant but nonauthoritative.  相似文献   

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