• Journal of Korean Society of Forest Science
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• 제3권1호
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• pp.28-31
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• 1963

Recognizing shortcomings and unreasonable points of the usual methods of measurement of the standing-tree volume, author contrived measurement formula of standing-tree volume which is based on stem-curve equation, $y^2=2px$, resulted from the analysises and experiments on stem-curve by differentiation & integration. The results of this study are as follows ; (1) The following is the formula. $V=1/2g_{1.2}$(h+1.2) V=volume of tree $g_{1.2}$ = sectional area at breast heigh h = height of tree (2) So plain is the form of this formula that this formula is more convenient than usual formulas in measuring. (3) The percentage error of this formula is negative and it is remarkably superior to usual formulas except Pressler's formula, in other words, the higher the tree that is measured is, the more inaccurate become pressler's formula, and the percentage error of the breast-height form factor method is direct proportion to the grossness of the tree that is measured, but the higher the tree that is measured, the lower become percentage error of this formula in geometrical progression.

• Journal of Ocean Engineering and Technology
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• 제9권2호
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• pp.61-70
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• 1995

The purpose of this paper is to calculate the excavation volume of unequal interval grid using nonlinear boundary in eathwork volume determination for reclamation of the foreshore. A congruence area formula by first and third equation is compared with trapezoidal, simpson formulas to earthwork volume. And nonlinear spot level method of unequal interval grid is compared with linear and nonlinear spot level method of equal interval grid excavation volume. As a result algorithm of derived area and volume formula should provide a better accuracy than linear and nonlinear spot level currently in use. Practical application of each method to the excavation volume is illustrated by digital elevation model of aerial photogrammetry and model test of aquarium.

• Journal of Nutrition and Health
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• 제32권1호
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• pp.83-89
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• 1999

The present study was conducted to investigate the yields of volume, thiamin and riboflavin from the milk of twenty-five Cesarean-section women, and their ingestion in infants. We measured the consumed volume of human milk of infants by the test-weighing method, and thiamin riboflavin contents were determined by fluorescence spectroscopy during the first 7 days postpartum. Thiamin contents of the milk averaged 24.3, 24.0, 27.4 and 30.2ug/100g. Thiamin and riboflavin contents of the milk both increased during the lactation ps mod(p<0.05). The first secretion of breast milk occurred from the 4th to 5th day postpartum in Cesarean-section women. The consumed volume of human milk was 63, 81, 104 and 133g/day at 4, 5, 6 and 7 days postpartum and the consumed volume of formula milk was 58, 176, 292, 323, 308, 321 and 318g/day at 1, 2, 3, 4, 5, 6 and 7 days postpartum and the consumed volume of formula from the human and formula milk were 26.6, 91.0, 151.0, 172.5, 169.2, 175.9 and 172.9ug/day. Total daily riboflavin ingestion from the human and formula milk were 26.6, 91.0, 151.0, 172.5, 169.2, 175.9 and 172.9ug/day. Total daily riboflavin ingestion from the human and formula milk was 48.7, 166.8, 277.6, 318.2, 312.0, 327.0 and 335.7ug/day at 1, 2, 3, 4, 5, 6 and 7 postpartum. These results suggest that the milk secretion of Cesarean-section women is delayed a few days and the yield volume of milk is less than that of normal delivery women, but thiamin and riboflavin contents of the milk are not different from those of milk of normal-delivery women.

• Journal of the Korean School Mathematics Society
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• 제18권4호
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• pp.371-385
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• 2015

In this paper we investigate the axioms defining area and volume so that revisit area formula for triangle, volume formula for triangular pyramid, and related contents in school mathematics from the view point of axiomatic method and Hilbert's third problem.

• Journal of Korean Port Research
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• 제11권2호
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• pp.257-271
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• 1997

The calculation of earthwork plays a major role in plan or design of many civil engineering projects and thus it has become very important to advanced the accuracy of earthwork calculation. The purpose of this paper is to calculate the excavation volume of terrain using a proposal area formular in eathwork volume determination for reclamation of the harbor. A proposal area formular by first and third equation is compared with end area, middle area, prismoidal formula by trapezoidal, simpson formular to excavation volume for an experimental terrian $1\sim12$. As a result of this study, algorithm of a proposal area formula by prismoidal formula should provide a better accuracy than end area, middle area, prismoidal formula by trapezoidal formular, simpson formular.

• Honam Mathematical Journal
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• 제43권4호
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• pp.679-689
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• 2021

The first author suggested an exact volume formula of the hypercubes [0, 1]ⁿ clipped by several hyperplanes expressed directly in terms of linear coefficients of the hyperplanes. However, it requires awkward assumptions to apply the formula to various situations. We suggest a concrete method to overcome those restrictions for two or three hyperplanes using 𝜖-perturbation, which gives an exact value applicable for any kind of arrangement of hyperplanes with no consideration.

• Honam Mathematical Journal
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• 제35권1호
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• pp.17-27
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• 2013

We survey and study several volume formulas of a Euclidean tetrahedron.

• Journal of the Korean Geosynthetics Society
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• 제19권4호
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• pp.33-40
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• 2020

It is now common to find the wastes buried in the past during the excavation process of soil for large scale housing and land development. Without proper treatment of the wastes environmentally, the excavation process is no longer able to proceed, and an action plan should be provided to treat the wastes with environmental and economic viability. In the study, the relationship between the apparent density of the wastes and the volume conversion factor, which is the basis in the estimation of waste treatment cost was investigated. From 10 sampling points of a landfill site, wastes were sampled, analyzed for physical characteristics, and the apparent density of mixed and sorted waste was assessed. Applying the empirical formula, and the formula we suggested here, the volume conversion factors were compared with that measured directly in the field using dump truck and excavator. Obviously there was a close relationship among the volume conversion factors resulting from the empirical formula, the formula we suggested and that measured in the field.

• Honam Mathematical Journal
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• 제38권1호
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• pp.71-84
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• 2016

The aim of this work is to compute the volume of the graph polytope associated with various type of finite simple graphs composed of paths and stars. Recurrence relations are obtained using the recursive volume formula (RVF) which was introduced in Lee and Ju ([3]). We also discussed the relationship between the volume of the graph polytopes and the number of linear extensions of the associated posets for given bipartite graphs.

• Bulletin of the Korean Mathematical Society
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• 제55권5호
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• pp.1405-1417
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• 2018

The aim of this work is to introduce several different volume computational methods of graph polytopes associated with various types of finite simple graphs. Among them, we obtained the recursive volume formula (RVF) that is fundamental and most useful to compute the volume of the graph polytope for an arbitrary finite simple graph.