• Title/Summary/Keyword: leading term ideal

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CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS

  • Sharifan, Leila
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.1077-1097
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    • 2019
  • Let M be a finitely generated module over a regular local ring (R, n). We will fix an n-stable filtration for M and show that the minimal free resolution of M can be obtained from any filtered free resolution of M by zero and negative consecutive cancellations. This result is analogous to [10, Theorem 3.1] in the more general context of filtered free resolutions. Taking advantage of this generality, we will study resolutions obtained by the mapping cone technique and find a sufficient condition for the minimality of such resolutions. Next, we give another application in the graded setting. We show that for a monomial order ${\sigma}$, Betti numbers of I are obtained from those of $LT_{\sigma}(I)$ by so-called zero ${\sigma}$-consecutive cancellations. This provides a stronger version of the well-known cancellation "cancellation principle" between the resolution of a graded ideal and that of its leading term ideal, in terms of filtrations defined by monomial orders.

Effect of Active Nutrition Care on Underweight Elderly Patients Receiving Long-term Enteral Tube Feeding (장기간 경관급식을 공급받는 노인 환자에 대한 적극적 영양관리의 효과)

  • Yoon, Hwa-Young;Kim, Hye-Kyeong
    • Korean Journal of Community Nutrition
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    • v.23 no.1
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    • pp.48-59
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    • 2018
  • Objectives: This study was performed to investigate the effect of active nutrition care on feeding and nutritional status of elderly patients receiving long-term enteral tube feeding. Methods: Subjects included 77 elderly patients who had received enteral nutrition more than one week before admission. Nutrition care was provided to patients supplied less calories than required. Feeding intolerance was examined and managed every day and formula was adjusted to meet nutritional requirement during the first 3 months after admission. Patients were classified into under or over 80% of percent ideal body weight (PIBW) and medical records were used to compare changes in weight,, biochemical indices, and nutritional status during the study. Results: Weight, BMI, triglyceride and total cholesterol in blood, hemoglobin, and hematocrit levels were significantly lower in patients under 80% of the PIBW than in those over 80% of the PIBW at admission. The percentage of supply to required calories was also lower in patients under 80% of the PIBW. After 1 month of nutritional care, supplied volume of formula was significantly increased in patients under 80% of the PIBW. Weight, BMI, and PIBW were increased and there were no differences between groups after 6 months. In addition, the concentrations of triglyceride and total cholesterol in blood, hemoglobin, and hematocrit tended to increase in patients under 80% of the PIBW, leading to no difference between groups after 3 months. Conclusions: Personalized active nutrition care is effective to increase weight and improve feeding and nutritional status in underweight elderly patients receiving long-term enteral nutrition.

Factors Affecting High Mortality Rates of Dairy Replacement Calves and Heifers in the Tropics and Strategies for Their Reduction

  • Moran, John B.
    • Asian-Australasian Journal of Animal Sciences
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    • v.24 no.9
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    • pp.1318-1328
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    • 2011
  • The tropics is not an ideal location for calf rearing as the high temperatures and humidities introduce many potential disease problems to milk fed calves. In addition, the type of dairy farming (generally poorly resourced small holder farming) and the general lack of awareness of the long term implications of poorly reared stock do not encourage farmers to pay close attention to their calf and heifer rearing systems. Surveys of calf rearing systems in Asia, tropical Africa and South America highlight the high calf and heifer mortalities. A range of 15 to 25% pre-weaning calf mortality is typical on many tropical dairy farms. It is often as high as 50%, indicating very poor calf management. This contrasts with US findings of less than 8% mortality from birth to 6 months while surveys of Australian farmers report only 3% losses. Simple extension programs on farms in Sri Lanka and Kenya have drastically reduced calf mortalities and improved pre-weaning growth rates. Improved management strategies leading to lower calving intervals, higher calving rates, reduced still born and pre-weaned calf mortalities and fewer non pregnant heifers can supply many more dairy herd replacements than currently occurs. Such strategies can increase the number of replacement heifer calves in the herd from 15 to over 35%, thus allowing farmers to increase their herd sizes through natural increases. Simple management procedures such as ensuring adequate intake of good quality colostrum within the first 12 hours of life, housing and good hygiene to minimise disease transfer, providing clean drinking water, developing appropriate feeding protocols to encourage early rumen development and paying closer attention to climate control and animal health can all lead to improved calf vigour and performance. Good record keeping is also important so farmers can more easily identify susceptible calves and quickly treat potential problems.