• Title/Summary/Keyword: product formula

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THE PRODUCT OF ANALYTIC FUNCTIONALS IN Z'

  • Li, Chenkuan;Zhang, Yang;Aguirre, Manuel;Tang, Ricky
    • Journal of the Korean Mathematical Society
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    • v.45 no.2
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    • pp.455-466
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    • 2008
  • Current studies on products of analytic functionals have been based on applying convolution products in D' and the Fourier exchange formula. There are very few results directly computed from the ultradistribution space Z'. The goal of this paper is to introduce a definition for the product of analytic functionals and construct a new multiplier space $F(N_m)$ for $\delta^{(m)}(s)$ in a one or multiple dimension space, where Nm may contain functions without compact support. Several examples of the products are presented using the Cauchy integral formula and the multiplier space, including the fractional derivative of the delta function $\delta^{(\alpha)}(s)$ for $\alpha>0$.

Growth and Tolerance Assessment of a Lutein-fortified Infant Formula

  • Kon, Igor Ya.;Gmoshinskaya, Maria V.;Safronova, Adilya I.;Alarcon, Pedro;Vandenplas, Yvan
    • Pediatric Gastroenterology, Hepatology & Nutrition
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    • v.17 no.2
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    • pp.104-111
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    • 2014
  • Purpose: To evaluate safety, gastrointestinal tolerance, and growth of a new experimental starter formula (NESF) fortified with lutein, prebiotics, probiotics, nucleotides and beta-carotene, fed to infants within the first months of life. Methods: This was a non-randomized, open, uncontrolled study conducted from December 2010 to May 2011. Twenty-three healthy infants aged 10 days to 2 months old were enrolled. Outcomes included gastrointestinal tolerance, physical growth and safety. Prior to the initiation of the trial, the Scientific Research Institute of Nutrition of the Russian Academy of Medical Sciences confirmed that the NESF met all safety and nutritional parameters. Results: NESF was well tolerated. The majority of infants fed this formula passed semi-liquid, yellow or yellow-brown. The mean stool frequency/day was $2.5{\pm}0.4$ on study-day 14 and $1.8{\pm}0.5$ on study-day 28. The mean daily weight gain was $30.9{\pm}3.8$ grams and the mean length gain during the 28 days of follow up was $3.1{\pm}0.8cm$, corresponding to the average physical growth normally seen in the first months of life in Russian infants. Six children left the study: one refused to drink the formula, one left the study as parents changed residence; and one child's parents have recalled their informed consent due to adverse event unrelated to the product. Three infants presented adverse events possibly related to the product (rash; colic and abdominal pain; constipation). Seventeen infants completed the trial. Conclusion: This study demonstrated that lutein-fortified formula is safe, well-tolerated and supported physical growth of evaluated infants.

Use-friendly Active Packaging of Powdered Infant Formula in Single-serve Portion Augmented with Anti-oxidative Function (산화억제 가능성과 사용편의성을 가진 일회성 조제분유 포장)

  • Lee, Hye Lim;An, Duck Soon;Lee, Dong Sun
    • KOREAN JOURNAL OF PACKAGING SCIENCE & TECHNOLOGY
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    • v.25 no.3
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    • pp.95-99
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    • 2019
  • In the modified atmosphere packaging of powdered infant formula, the oxygen inside the package may cause its quality deterioration and needs to be minimized for quality preservation. A way of oxygen scavenger inclusion in the single-serve package without contacting the product was devised for removing oxygen residing initially and permeating through the seal layer during the storage. A polyethylene/pulp multi-layer porous filter bag of 5 × 7 cm containing 13 g of powdered infant formula was packaged in an 8 × 9 cm size aluminium laminated film package with a Fe-based oxygen scavenger of 1.8 g. After nitrogen flushed packaging, the active packages were stored at 30℃ for 254 days with periodical quality measurement. The active package could remove the initial residual oxygen of 1.4% completely and maintain absence of oxygen for the whole storage, which contributed to reduced oxidation observed in lower product peroxide value compared to that of the product in the control package. There was no influence of packaging treatment on content of 5-hydroxymethylfurfural, reaction product of initial nonenzymatic browning. The devised oxygen-scavenging single-serve package showed a potential to improve the preservation of infant formula powder and extend the shelf life.

Optimization of Extraction Conditions for Active Compounds of Herbal Medicinal Formula, DF, by Response Surface Methodology

  • Jeong, Birang;Choi, Seong Yeon;Jang, Hyeon Seok;Yoo, Guijae;Kim, Seung Hyun;Kim, Jung-Hwan;Kwon, Yong Soo;Roh, Jong Seong;Yoon, Yoosik;Shin, Soon Shik;Yang, Heejung
    • Natural Product Sciences
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    • v.23 no.1
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    • pp.9-15
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    • 2017
  • DF formula is comprised of three traditional herbs, Ephedra intermedia, Rheum palmatum and Lithospermum erythrorhizon, and locally used for treating of the metabolic diseases, such as obesity and diabetes in Korea. We tried to optimize the extraction conditions of two major components, (-)-ephedrine and (+)-pseudoephedrine, in DF formula using response surface methodology with Box-Behnken design (BBD). The experimental conditions with 70% for EtOH concentrations, 4.8 hour for extraction hours and 8.7 times for the solvent to material ratio were suggested for the optimized extraction of DF formula with the highest amounts of (-)-ephedrine and (+)-pseudoephedrine in the designed model.

Review of stability calculation of an artificial reef in the breaking wave zone of coastal waters (천해 쇄파역에서 인공어초 안정성 계산에 대한 고찰)

  • Kim, Chang-Gil;Oh, Tae-Gun;Suh, Sung-Ho;Kim, Dae-Kweon;Kim, Byung-Gyun;Choi, Yong-Suk
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.6
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    • pp.965-974
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    • 2009
  • The current study reviews the formula used to calculate the stability of an artificial reef in the breaking wave zone of coastal waters. A comparison was carried out between the existing formula and a new formula that takes into account the water particle velocity in the breaking wave zone. Water particle velocity was analyzed using the Fluent (CADMAS-SURF) software program. The new formula took into various factors, including the difference in the drag coefficient due to the direction of the current and the ratio of distance between two reefs. The drag coefficient of the artificial reef due to the direction of the current was 0.84 when the distance ratio was 0.5. When the artificial reef was placed at 45 degree angle to the current, the product of the drag coefficient and the project area were 40 to 46 % greater than when the reef was placed at 90 degree angle. Our results regarding the stability of an artificial reef indicate that the new formula provides the designers of artificial reefs with a more rational and economic design rationale rather than the existing formula.

Comparison of Sensory Traits and Preferences between Food Co-product Fermented Liquid (FCFL)-fed and Formula-fed Pork Loin

  • Sasaki, Keisuke;Nishioka, Terumi;Ishizuka, Yuzuru;Saeki, Mao;Kawashima, Tomoyuki;Irie, Masakazu;Mitsumoto, Mitsuru
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.8
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    • pp.1272-1277
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    • 2007
  • Sensory traits and preferences regarding food co-product fermented liquid (FCFL)-fed pork loin were compared with those of formula-fed pork. The FCFL-fed pork was expected to have improved fat meltability. Thirty-nine laboratory panelists took part in a sensory test. The fat meat and the lean meat of FCFL-fed pig were judged more meltable and tender, respectively, than the corresponding meat from the formula-fed pig. These sensory traits agreed closely with the results of a mechanical investigation of fat melting patterns and with Warner-Bratzlar shear force values. However, the overall preference was not significantly associated with sensory fat meltability and meat tenderness, as assessed by chi-square and correspondence analyses, but it was significantly related to the whole fat preference and the fat texture preference. The fat texture preference, however, did not correlate with sensory fat meltability. These results indicated that FCFL feeding altered sensory fat meltability in pork loin, but the preference for such meltable fat differed among individual panelists.

Integral Formulas Involving Product of Srivastava's Polynomials and Galué type Struve Functions

  • Suthar, Daya Lal;Andualem, Mitku
    • Kyungpook Mathematical Journal
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    • v.59 no.4
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    • pp.725-734
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    • 2019
  • The aim of this paper is to establish two general finite integral formulas involving the product of Galué type Struve functions and Srivastava's polynomials. The results are given in terms of generalized (Wright's) hypergeometric functions. These results are obtained with the help of finite integrals due to Oberhettinger and Lavoie-Trottier. Some interesting special cases of the main results are also considered. The results presented here are of general character and easily reducible to new and known integral formulae.

A CHANGE OF SCALE FORMULA FOR WIENER INTEGRALS ON THE PRODUCT ABSTRACT WIENER SPACES

  • Kim, Young-Sik;Ahn, Jae-Moon;Chang, Kun-Soo;Il Yoo
    • Journal of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.269-282
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    • 1996
  • It has long been known that Wiener measure and Wiener measurbility behave badly under the change of scale transformation [3] and under translation [2]. However, Cameron and Storvick [4] obtained the fact that the analytic Feynman integral was expressed as a limit of Wiener integrals for a rather larger class of functionals on a classical Wienrer space.

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