Showing papers by "Nanyang Technological University published in 1978"
TL;DR: Results indicate strong superiority computationally for the Davidon and BFGS update over the self-scaling update, except on a special class of functions, the homogeneous functions.
Abstract: In a series of recent papers, Oren, Oren and Luenberger, Oren and Spedicato, and Spedicato have developed the self-scaling variable metric algorithms These algorithms alter Broyden's single parameter family of approximations to the inverse Hessian to a double parameter family Conditions are given on the new parameter to minimize a bound on the condition number of the approximated inverse Hessian while insuring improved step-wise convergence Davidon has devised an update which also minimizes the bound on the condition number while remaining in the Broyden single parameter family This paper derives initial scalings for the approximate inverse Hessian which makes members of the Broyden class self-scaling The Davidon, BFGS, and Oren—Spedicato updates are tested for computational efficiency and stability on numerous test functions, with the results indicating strong superiority computationally for the Davidon and BFGS update over the self-scaling update, except on a special class of functions, the homogeneous functions
221 citations
TL;DR: The paper compares the numerical performances of the LDL′ decomposition of the BFGS variable-metric algorithm, the Dennis-Mei dogleg algorithm on theBFGS update, and Davidon's projections with the BF GS update with the straight BFGS update on a number of standard test problems.
Abstract: The paper compares the numerical performances of the LDL′ decomposition of the BFGS variable-metric algorithm, the Dennis-Mei dogleg algorithm on the BFGS update, and Davidon's projections with the BFGS update with the straight BFGS update on a number of standard test problems. Numerical results indicate that the standard BFGS algorithm is superior to all of the more complex strategies.
49 citations
22 citations
TL;DR: In this paper, the effects of several metallic ions on the oxidation of natural rubber were studied by differential scanning calorimetry (DSC), and the activation energy of oxidation was evaluated from DSC curves.
13 citations
01 Jan 1978
TL;DR: A new subspecies of Cervus nippon from Sichuan is presented, which is large, body weight about 150 kg, body length 1700mm, and the middle dorsal stripe distinct and dark; two lateral rows of distinct white spots along the stripe; length of upper cheek teeth greater than the zygomatic width.
Abstract: This paper presents a new subspecies of Cervus nippon from SichuanHolotype:No00724,male,adult,collected on July 24,1964,from Kuoergai districtSichuan,altitude 2,900mAllotypc:No00715,female,adult,collected on June 25,1964,from Ruoergai district,Sichuan (altitude 3,100m)Paratypes:No00717,male,about two years old,collected on July 30,1964;No00723female,adult,collected on July 18,1964,all from Euoergai district,Sichuan,altitude 2,850-3,000 mAllotype deposited in the Institute of Zoology,Academia Sinica;the other type specimens in the Institute of Chinese Drugs of Sichuan,ChinaDiagnosis:Size large,body weight about 150 kg,body length 1700mmtail short,hind leg 460 mm;no mane on neck;the middle dorsal stripe distinct and dark;two lateral rows of distinct white spots along the stripe;length of upper cheek teeth greater than the zygomatic widthDescription (summer pelage):Head and front dark brown;forehead,nose,muzzle,and cheek turning to yellowish chestnut;upper lip,chin and throat whitishThe underside of chin with a brownish "A"-shaped markBack of ears dark chestnut,both inside and inner base of ears white,'the lower edge showing distinct whitish long hairsNo mane on neck,its underside with some long hairsA black dorsal stripe starting between the ears running down to the tail;two lateral rows of distinct white spots along the stripe;a row of whitish spots considerably near belly from fore leg to rumpTail black above,with whitish edgeThe croup disk white,near base of tail,marked with two dark small spots connected with the dorsal stripeThe under surface of the belly white;the inner side of the four limbs also white,but their outer sides pale buffThe hairs of the metatarsal gland brownSkull:The posterior edge of nasals not,beyond the anterior edge of zygomatie;length of upper cheek teeth larger than the zygomatic widthThe audital bullae slightly long and largeThe brow tine 55 mm above the base of main beam,forming an obtuse angle with the beamThe posterior fork of the main beam consisting of two tinesFor measurements,see the Chinese text
7 citations
Abstract: A general and linear relationship is found between the fireball mass ${M}^{*}$ and the multiplicity $〈n〉$ of mesons from $\mathrm{pp}$ collisions and $\overline{p}p$ annihilations, the characteristics of ${M}^{*}$ being determined by the scaling parameter used to modify the Bose-Einstein distribution. In the scaling limit, this relationship is identical with the well known power law $〈n〉\ensuremath{\propto}{E}^{\frac{1}{2}}$ A remark is made on its extension to asymmetric fireballs such as pion-nucleon collisions.
5 citations
TL;DR: In this article, the pion form factor was used to predict the existence of a dip at the cost of the sensitivity of the dip structure due to the variation of the shape of the form factor.
Abstract: With some knowledge of the pion form factor, we study $\ensuremath{\pi}p$ elastic scattering within the Chou-Yang model. We find it agrees very well with recent Fermilab measurements and we predict the existence of a dip at $\ensuremath{-}t=4\ensuremath{-}5$ ${\mathrm{GeV}}^{2}$. The sensitivity of the dip structure due to the variation of the shape of the pion form factor is studied.
4 citations
TL;DR: In this paper, the authors investigated the properties of high-energy nuclear reactions in terms of the Maxwell distribution and found that the energy dependence of the temperature for $p$-nucleus reactions follows an empirical power law similar to that for meson production.
Abstract: Properties of fragments from high-energy nuclear reactions are investigated in terms of the Maxwell distribution. It is found that the energy dependence of the temperature for $p$-nucleus reactions follows an empirical power law similar to that for meson production. Remarks are made about the Lorentz transformaton of temperature and about heavy-ion reactions.
2 citations
TL;DR: In this paper, it is shown that the Frattini subalgebra of a finite distributive lattice can be characterized in terms of elements in ℒ(FD).
Abstract: Following G. Birkhoff, the Frattini sublattice Φ(L) of a latticeL is defined as the intersection of all its maximal proper sublattices. Let ℒ(FD) be the class of all finite distributive lattices. The main aim in this note is to provide a new but elementary characterization of elements in Φ(L),L∈ℒ(FD), and also an extremely simple algorithm for determining the Frattini sublattice of any finite distributive lattice. By applying this algorithm, it is shown that there is a new way to determine the Frattini subalgebra of a finite Stone algebra.
2 citations
01 Jan 1978
TL;DR: In this paper, a simple graph on n vertices is said to be simple if each of its connected components has at most one cycle and the component containing the edge with end points labelled 1 and n has no cycle.
Abstract: A graceful graph on n vertices is said to be simple if each of its connected components has at most one cycle and the component containing the edge with end points labelled 1 and n has no cycle. Let sn and tn denote the numbers of simple graceful graphs and graceful trees on n vertices respectively. Then tn≦sn≦p(An-2) where p(An-2) is the permanent (plus determinant) of the (n-2)×(n-2) matrix An-2=(aij) defined by:
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More specifically, let ci denote the number of simple graceful graphs on n vertices with i cycles (i=0,1,2,...,k, where k=[(n-2)/3]). Then we have
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2 citations
TL;DR: The maximum physical effective crosslinking density of the vulcanizates appeared to be when p-quinone dioxime and the oxidizing agent were equimolar as mentioned in this paper.
Abstract: The vulcanization of butyl rubber by p-quinone dioxime oxidized by red lead and tetrachloroquinone was investigated. The maximum physical effective crosslinking density of the vulcanizates appeared to be when p-quinone dioxime and the oxidizing agent were equimolar. The formation of one physical effective crosslink required one molecule of p-quinone dioxime. Chemical reactions are suggested for the vulcanization steps.
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TL;DR: In this article, a linear potential is found to be a static electric solution to the classical Yang-Mills gauge theory, which is a static solution to all the above problems.
Abstract: A linear potential is found to be a static «electric» solution to the classical Yang-Mills gauge theory.
TL;DR: In this article, the authors examined the fiscal arrangement between the Federal Government and the State Governments of Peninsular Malaysia and found that the transfer of federal grants as a form of fiscal adjustment fails to equalize regional fiscal imbalance, as the allotment system favours the rich states.
Abstract: The paper examines the fiscal arrangement between the Federal Government and the State Governments of Peninsular Malaysia. The transfer of federal grants as a form of fiscal adjustment fails to equalize regional fiscal imbalance, as the allotment system favours the rich states. This increases regional growth differentials of the country.