481 research outputs found

### Global Optimization for a Class of Nonlinear Sum of Ratios Problem

We present a branch and bound algorithm for globally solving the sum of ratios problem. In this problem, each term in the objective function is a ratio of two functions which are the sums of the absolute values of affine functions with coefficients. This problem has an important application in financial optimization, but the global optimization algorithm for this problem is still rare in the literature so far. In the algorithm we presented, the branch and bound search undertaken by the algorithm uses rectangular partitioning and takes place in a space which typically has a much smaller dimension than the space to which the decision variables of this problem belong. Convergence of the algorithm is shown. At last, some numerical examples are given to vindicate our conclusions

### Global Minimization for Generalized Polynomial Fractional Program

This paper is concerned with an efficient global optimization algorithm for solving a kind of fractional program problem (P), whose objective and constraints functions are all defined as the sum of ratios generalized polynomial functions. The proposed algorithm is a combination of the branch-and-bound search and two reduction operations, based on an equivalent monotonic optimization problem of (P). The proposed reduction operations specially offer a possibility to cut away a large part of the currently investigated region in which the global optimal solution of (P) does not exist, which can be seen as an accelerating device for the solution algorithm of (P). Furthermore, numerical results show that the computational efficiency is improved by using these operations in the number of iterations and the overall execution time of the algorithm, compared with other methods. Additionally, the convergence of the algorithm is presented, and the computational issues that arise in implementing the algorithm are discussed. Preliminary indications are that the algorithm can be expected to provide a practical approach for solving problem (P) provided that the number of variables is not too large

### A Global Optimization Algorithm for Signomial Geometric Programming Problem

This paper presents a global optimization algorithm for solving the signomial geometric programming (SGP) problem. In the algorithm, by the straight forward algebraic manipulation of terms and by utilizing a transformation of variables, the initial nonconvex programming problem (SGP) is first converted into an equivalent monotonic optimization problem and then is reduced to a sequence of linear programming problems, based on the linearizing technique. To improve the computational efficiency of the algorithm, two range reduction operations are combined in the branch and bound procedure. The proposed algorithm is convergent to the global minimum of the (SGP) by means of the subsequent solutions of a series of relaxation linear programming problems. And finally, the numerical results are reported to vindicate the feasibility and effectiveness of the proposed method

### Ispitivanje antioksidativne aktivnosti in vitro polipeptida meduze (Rhopilema esculentum)

Jellyfish gelatin was hydrolyzed by different proteases to obtain antioxidative polypeptides. The gelatin hydrolysate obtained by progressive hydrolysis using trypsin and Properase E exhibited the highest hydrolysis degree and antioxidant activity. Three series of gelatin polypeptides (SCP1, SCP2 and SCP3) were obtained by ultrafiltrating the gelatin hydrolysate through molecular mass cut-off membranes of 10, 6 and 2 kDa, respectively. Amino acid composition analysis showed that SCP3 had the highest total hydrophobic amino acid content. The in vitro antioxidant tests demonstrated that SCP2 had the strongest hydroxyl radical and hydrogen peroxide scavenging activities and metal chelating ability, while SCP3 showed the highest reducing power, antioxidant activity in linoleic acid emulsion system and superoxide anion radical scavenging activity. The results support the feasibility of jellyfish gelatin as a natural antioxidant polypeptide provider, and enzymatic hydrolysis and ultrafiltration could be potent future processing technologies to utilize the abundant jellyfish resource.Hidrolizom želatine iz meduze pomoću različitih proteaza dobiveni su polipeptidi antioksidativnih svojstava. Najveći stupanj hidrolize i najbolja antioksidativna svojstva imao je hidrolizat dobiven progresivnom hidrolizom pomoću tripsina i Properase E. Ultrafiltracijom hidrolizata kroz membrane (10, 6 i 2 kDa) dobivene su tri serije polipeptida želatine: SCP1, SCP2 i SCP3. Analizom aminokiselinskoga sastava ustanovljeno je da SCP3 ima najveći ukupni udio hidrofobnih aminokiselina. Antioksidativni testovi in vitro pokazali su da SCP2 ima najveću sposobnost uklanjanja hidroksilnih radikala i vodikova peroksida te keliranja metala, a SCP3 najveću redukcijsku moć, najbolju antioksidativnu aktivnost u emulzijskom sustavu linoleinske kiseline te sposobnost uklanjanja superoksidnih aniona. Rezultati potvrđuju da se želatina iz meduze može upotrijebiti kao izvor prirodnih antioksidativnih polipeptida, a enzimska hidroliza i ultrafiltracija kao postupci prerade za njezino iskorištavanje

### Ispitivanje antioksidativne aktivnosti in vitro polipeptida meduze (Rhopilema esculentum)

Jellyfish gelatin was hydrolyzed by different proteases to obtain antioxidative polypeptides. The gelatin hydrolysate obtained by progressive hydrolysis using trypsin and Properase E exhibited the highest hydrolysis degree and antioxidant activity. Three series of gelatin polypeptides (SCP1, SCP2 and SCP3) were obtained by ultrafiltrating the gelatin hydrolysate through molecular mass cut-off membranes of 10, 6 and 2 kDa, respectively. Amino acid composition analysis showed that SCP3 had the highest total hydrophobic amino acid content. The in vitro antioxidant tests demonstrated that SCP2 had the strongest hydroxyl radical and hydrogen peroxide scavenging activities and metal chelating ability, while SCP3 showed the highest reducing power, antioxidant activity in linoleic acid emulsion system and superoxide anion radical scavenging activity. The results support the feasibility of jellyfish gelatin as a natural antioxidant polypeptide provider, and enzymatic hydrolysis and ultrafiltration could be potent future processing technologies to utilize the abundant jellyfish resource.Hidrolizom želatine iz meduze pomoću različitih proteaza dobiveni su polipeptidi antioksidativnih svojstava. Najveći stupanj hidrolize i najbolja antioksidativna svojstva imao je hidrolizat dobiven progresivnom hidrolizom pomoću tripsina i Properase E. Ultrafiltracijom hidrolizata kroz membrane (10, 6 i 2 kDa) dobivene su tri serije polipeptida želatine: SCP1, SCP2 i SCP3. Analizom aminokiselinskoga sastava ustanovljeno je da SCP3 ima najveći ukupni udio hidrofobnih aminokiselina. Antioksidativni testovi in vitro pokazali su da SCP2 ima najveću sposobnost uklanjanja hidroksilnih radikala i vodikova peroksida te keliranja metala, a SCP3 najveću redukcijsku moć, najbolju antioksidativnu aktivnost u emulzijskom sustavu linoleinske kiseline te sposobnost uklanjanja superoksidnih aniona. Rezultati potvrđuju da se želatina iz meduze može upotrijebiti kao izvor prirodnih antioksidativnih polipeptida, a enzimska hidroliza i ultrafiltracija kao postupci prerade za njezino iskorištavanje

### 7-Nitro­quinazolin-4(3H)-one

In the crystal structure of the title compound, C8H5N3O3, inter­molecular N—H⋯O hydrogen bonds link mol­ecules into centrosymmetric dimers. These dimers are, in turn, linked though weak inter­molecular C—H⋯O and C—H⋯N hydrogen bonds and π–π stacking inter­actions, with centroid–centroid distances of 3.678 (3) Å, into a three-dimensional network

### Variability of the giant X-ray bump in GRB 121027A and possible origin

The particular giant X-ray bump of GRB 121027A triggered by \emph{Swift} is quite different from the typical X-ray flares in gamma-ray bursts. There exhibit four parts of the observed structural variabilities in the rise and decay phase of the bump. Considering the quality of four parts of the data, we can only analyze the data from about 5300 s to about 6100 s in the bump using the stepwise filter correlation method (Gao et al. 2012), and find that the $86^{+5.9}_{-9.4}~\rm s$ periodic oscillation may exist, which is confirmed by the Lomb-Scargle method (Scargle 1982). Furthermore, a jet precession model (Liu et al. 2010) is proposed to account for such a variability.Comment: 5 pages, 3 figures, accepted for publication in MNRA

### Pd-catalyzed highly regio-, diastereo-, and enantioselective allylic alkylation of alpha-fluorophosphonates

Major Basic Research Development Program [2010CB833300]; National Natural Science Foundation of China [21121062, 21302205, 21032007]; Chinese Academy of Sciences and the Technology Commission of Shanghai MunicipalityHighly efficient Pd-catalyzed asymmetric allylic alkylation reaction of ethyl-2-fluoro-2-(diethoxyphosphoryl) acetate with monosubstituted allylic substrates has been developed, affording corresponding alpha-fluorophosphonates with two chiral centers in high regio-, diastereo- and enantio-selectivities. The usefulness of the products in organic synthesis has been demonstrated