• Title/Summary/Keyword: functional and general properties

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GENERALIZED FORMS OF SWIATAK'S FUNCTIONAL EQUATIONS WITH INVOLUTION

  • Wang, Zhihua
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.779-787
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    • 2019
  • In this paper, we study two functional equations with two unknown functions from an Abelian group into a commutative ring without zero divisors. The two equations are generalizations of Swiatak's functional equations with an involution. We determine the general solutions of the two functional equations and the properties of the general solutions of the two functional equations under three different hypotheses, respectively. For one of the functional equations, we establish the Hyers-Ulam stability in the case that the unknown functions are complex valued.

Effect of Irradiation of Red Radish Seeds on the Seed Viability and Functional Properties of Sprouts

  • Waje, Catherine K.;Park, Ju-Hwan;Kim, Gui-Ran;Kim, Yu-Ri;Han, Bum-Soo;Lee, Yeon-Kyung;Moon, Kwang-Deog;Kwon, Joong-Ho
    • Food Science and Biotechnology
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    • v.18 no.2
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    • pp.390-395
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    • 2009
  • Red radish seeds were irradiated at doses up to 8 kGy using electron beam (e-beam) and gamma ray ($\gamma$-ray). The seed viability and functional properties (carotenoid, chlorophyll, ascorbic acid, and total phenol) of sprouts grown from these irradiated seeds were evaluated. High germination percentage ($\geq$97%) was observed in seeds irradiated at $\leq$5 kGy, but the yield ratio and sprout length significantly decreased with increased irradiation dose. Irradiation at $\geq$6 kGy resulted in curling of the sprout roots. Sprouting enhanced the functional properties of red radish seeds as indicated by the increased carotenoid, chlorophyll, ascorbic acid, and total phenol contents during germination. However, radiation treatment hampered the growth of seeds resulting in underdeveloped sprouts with decreased carotenoid, chlorophyll, ascorbic acid, and total phenol contents. In general, e-beam and $\gamma$-ray irradiation of red radish seeds showed similar effects on the seed viability and functional properties of sprouts. Postharvest storage reduced the functional quality of sprouts.

ON THE HYERS-ULAM SOLUTION AND STABILITY PROBLEM FOR GENERAL SET-VALUED EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS

  • Dongwen, Zhang;John Michael, Rassias;Yongjin, Li
    • Korean Journal of Mathematics
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    • v.30 no.4
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    • pp.571-592
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    • 2022
  • By established a Banach space with the Hausdorff distance, we introduce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.

Multiple Inheritance and English Locative Inversion

  • Chung, Chan
    • Language and Information
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    • v.5 no.1
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    • pp.55-71
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    • 2001
  • One of the controversial issues in English locative inversion (LI) construction( e. g. Under the tree sat a woman) has been the functional status of preverbal PP and postverbal NP, i.e. whether they are a subject, a complement, or filer (topic) Based on the distributional parallelisms between the PP and NP on the one hand and an ordinary subject and filler on the other this paper proposes that the PP has a dual function as a subject and filler, while the NP also has some subject properties that the PP does not have These mixed functional properties are analyzed in the theory of HPSG expecially with the versions recently developed by Sag(1997) Manning and Sag(1999) and Ginzburg and Sag(to appear). This analysis claims that the LI construction needs to satisfy two general, independent constraints head-subject- phrase and head-filler-phrase. This position suggests that the English LI construction is an instance of the peripheral phenomena whose construction specific constraint is inherited from more general core constraints. (Dongseo University)

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Functional and Film-forming Properties of Fractionated Barley Proteins

  • Cho, Seung-Yong;Rhee, Chul
    • Food Science and Biotechnology
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    • v.18 no.4
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    • pp.889-894
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    • 2009
  • Barley proteins are expected to have unique functional properties due to their high content of alcohol soluble protein, hordein. Since the barley proteins obtained by conventional isoelectric precipitation method cannot represent hordein fraction, barley proteins were fractionated to albumin, globulin, glutelin, and hordein with respect to extraction solvents. Functional properties and film-forming properties of solubility-fractionated barley proteins were investigated to explore their potential for human food ingredient and industrial usage. The 100 g of total barley protein comprised 5 g albumin, 23 g globulin, 45 g glutelin, and 27 g hordein. Water-binding capacities of barley protein isolates ranged from 140-183 mL water/100 g solid. Hordein showed the highest oil absorption capacity (136 mL oil/100 g), and glutelin showed the highest gelation property among the fractionated proteins. In general, the barley protein fractions formed brittle and weak films as indicated by low tensile strength (TS) and percent elongation at break (E) values. The salt-soluble globulin fraction produced film with the lowest TS value. Although films made from glutelin and hordein were dark-colored and had lower E values, they could be used as excellent barriers against water transmission.

The Novel Functional Chromophores Based on Squarylium Dyes

  • Park, Soo-Youl;Jun, Kun;Oh, Sea-Wha
    • Bulletin of the Korean Chemical Society
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    • v.26 no.3
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    • pp.428-432
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    • 2005
  • Squarylium or squaraine dyes are derived from 1,2-dihydroxycyclobuten-3,4-dione, otherwise known as squaric acids. They are two principal types: the 1,2-bisdonorsubstituted derivatives, and the 1,3-bisdonorsubstituted derivatives. The former are essentially merocyanines and have no distinctive properties, whereas the latter represent a unique type of chromophore, which is neither a merocyanines nor cyanine and has exceptional light absorption characteristics. They also have many functional applications based on their special properties. Thus it was the objective of this research project to synthesize a range of 1,3-squarylium dyes of widely differing structural types, and to investigate their light absorption and fluorescence properties in general, and the color change properties of appropriate examples in particular. Also in this study, the various pHinduced colour change processes were examined.

Improvement of Rheological and Functional Properties of Salmon FPC by Enzymatic Partial Hydrolysis 1. Production of Salmon FPC Hydrolysates and Their General Properties (효소적 부분 가수분해에 의한 연어 FPC(Fish Protein Concentrates)의 물성 및 기능성 개선 1. 연어 FPC의 가수분해물 제조와 일반적인 성상)

  • LEE Jong-Ho;LEE Keun-Tai;PARK Seong-Min;PARK Chan-kyu
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.31 no.1
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    • pp.132-138
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    • 1998
  • To improve functional properties and enhance application of FPC in food industry, modified salmon FPC with enzyme treatment was produced and its general properties were investigated. Salmon FPC has over $84\%$ of protein and less than $0.18\%$ of lipid. Solubilities of FPC extracted with IPA and ethanol were very poor as less than $3\%$ in every pH range. In case of enzyme : substrate ratio of 1 : 100, degree of hydrolysis significantly increased until 4 hours and then slightly increased. No considerable differences were observed in general components of hydrolysates. Results of SDS-PAGE showed one unique band in each case and their molecular weight was less than 6,500. The flow properties of hydrolysates showed newtonian flow. Whiteness of hydrolysates were higher than that of salmon FPC as $5\~7$. There was no significant differences in the amount of peptide, but that of free amino acid slightly increased from 0.17 to 0.21 mg/ml.

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Preparation and Properties of Hyperbranched Polymers

  • Kakimoto, Masa-Aki
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.97-98
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    • 2006
  • After general introduction for hyperbranched polymers, hyperbranched polysiloxysilanes (HBPS) were introduced as new functional polymers. Vinyl terminated HBPS was synthesized starting from AB2 type monomer by hydrosilylation reaction. Vinyl group can be converted various functional groups such as carboxylic acid and alcohol. HBPS had strong interaction to inorganic surface. As an example of this phenomenon, silica gel bead for HPLC was modified with thermo sensitive polymers. The resulting bead was successfully applied to Green Chronatography.

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Generalized shear deformation theory for thermo elastic analyses of the Functionally Graded Cylindrical shells

  • Arefi, M.
    • Structural Engineering and Mechanics
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    • v.50 no.3
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    • pp.403-417
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    • 2014
  • The present paper addresses a general formulation for the thermo elastic analysis of a functionally graded cylindrical shell subjected to external loads. The shear deformation theory and energy method is employed for this purpose. This method presents the final relations by using a set of second order differential equations in terms of integral of material properties along the thickness direction. The proposed formulation can be considered for every distribution of material properties, whether functional or non functional. The obtained formulation can be used for manufactured materials or structures with numerical distribution of material properties which are obtained by using the experiments. The governing differential equation is applied for two well-known functionalities and some previous results are corrected with present true results.

Effects of gamma irradiation on the functional and structural characteristics of soy protein isolates (방사선 조사가 분리대두단백의 기능적, 구조적 특성에 미치는 영향)

  • 오경남;이숙영
    • Korean journal of food and cookery science
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    • v.20 no.3
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    • pp.256-264
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    • 2004
  • The effects of irradiation on the functional and structural characteristics of soy protein isolates were studied. Soymilk was irradiated at 1, 5, and l0kGy, after which soy protein isolates were prepared. The functional properties of soy protein isolates were examined including solubility, emulsion capacity and stability, foam capacity and stability, structural properties as represented by SDS-PAGE pattern, and secondary and tertiary structures. The solubility and emulsion capacity were increased by radiation treatment at 1kGy however the values were adversely affected again as dosage was increased above 5kGy. As irradiation dosage increased, an increase of foaming capacity at 1kGy and a decreasing turnover afterwards were also noted in foaming capacity, although the differences were not statistically significant. The SDS-PAGE pattern showed fragmentation and aggregation of protein molecules as affected by irradiation in proportion to the dosage increase. The results of CD and fluorescence spectroscopy revealed increased aperiodic structure contents with the dosage increase. It was assumed that irradiation dosagefrom 5 to l0kGy could initiate minimal denaturation of protein in various foods compared to general heat treatment.