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Статті в журналах з теми "Compatible volume"

Автор: Grafiati

Опубліковано: 3 червня 2025

Оновлено: 31 липня 2025

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1

Diéguez-Aranda, Ulises, Fernando Castedo-Dorado, Juan Gabriel Álvarez-González, and Alberto Rojo. "Compatible taper function for Scots pine plantations in northwestern Spain." Canadian Journal of Forest Research 36, no. 5 (2006): 1190–205. http://dx.doi.org/10.1139/x06-008.

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Анотація:

A compatible system for estimation of individual tree volume was developed for Scots pine (Pinus sylvestris L.) in northwestern Spain. The system comprises a merchantable volume equation, a total volume equation, and a taper function. The use of the volume equation allows rapid estimation of tree volume, and stand volume by summing individual tree volumes, which is equal to the volume obtained by integrating the taper equation. The volume equation is very easy to use and is therefore preferred when classification of the products by merchantable sizes is not required. Data from 228 destructivel

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2

Sharma, Mahadev, and Richard G. Oderwald. "Dimensionally compatible volume and taper equations." Canadian Journal of Forest Research 31, no. 5 (2001): 797–803. http://dx.doi.org/10.1139/x01-005.

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Анотація:

A dimensional analysis approach was applied to derive analytically consistent tree taper and volume equations. To achieve numerical consistency between the taper and volume equations, parameters of the taper and the volume equations were estimated simultaneously. Data from loblolly pine (Pinus taeda L.) trees grown in natural stands in the Coastal Plain of North Carolina and the Coastal Plain and Piedmont areas of Virginia were used to estimate the parameters. The dimensionally compatible volume equation is shown to be a better equation for estimation of the volume of loblolly pine trees grown

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3

Krisnawati, Haruni. "A COMPATIBLE ESTIMATION MODEL OF STEM VOLUME AND TAPER FOR Acacia mangium Willd. PLANTATIONS." JOURNAL OF FORESTRY RESEARCH 3, no. 1 (2016): 49–64. https://doi.org/10.20886/ijfr.2016.3.1.49-64.

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This study describes the establishment of  a compatible volume estimation model for <em>Acacia mangium</em> Willd on the basis of  279 felled sample trees collected from the <em>A. mangium</em> plantation stands in South Sumatra, Indonesia. The model comprises of  a total volume model and a stem taper model, which is compatible in the sense of  the total volume obtained by integration of  the taper model being equal to that computed by the total volume model. Several well-known total volume functions were evaluated including constant form factor, combined variable, gen

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4

Lynch, Thomas B., Dehai Zhao, Will Harges, and John Paul McTague. "Deriving compatible taper functions from volume ratio equations based on upper-stem height." Canadian Journal of Forest Research 47, no. 10 (2017): 1424–31. http://dx.doi.org/10.1139/cjfr-2017-0108.

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Анотація:

A very common model for prediction of tree stem volumes to upper-stem height or diameter limits is the use of a merchantable to total volume ratio function multiplied by a total stem volume function. Many users of these prediction systems also desire taper equations that can predict heights to upper-stem diameters. While taper equations compatible with volume ratio equations have been used for many years, compatible taper equations from volume ratio equations that are functions of upper-stem height have been used infrequently. Yet many studies have indicated that height-based ratio equations p

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5

Yang, Yang, Xiao-Ming Fu, Shuangming Chai, Shi-Wei Xiao, and Ligang Liu. "Volume-Enhanced Compatible Remeshing of 3D Models." IEEE Transactions on Visualization and Computer Graphics 25, no. 10 (2019): 2999–3010. http://dx.doi.org/10.1109/tvcg.2018.2861396.

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6

Kwon, H. Moo, and Joseph S. Handler. "Cell volume regulated transporters of compatible osmolytes." Current Opinion in Cell Biology 7, no. 4 (1995): 465–71. http://dx.doi.org/10.1016/0955-0674(95)80002-6.

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7

McClure, J. P., and R. L. Czaplewski. "Compatible taper equation for loblolly pine." Canadian Journal of Forest Research 16, no. 6 (1986): 1272–77. http://dx.doi.org/10.1139/x86-225.

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Анотація:

Cao's compatible, segmented polynomial taper equation (Q. V. Cao, H. E. Burkhart, and T. A. Max. For. Sci. 26: 71–80. 1980) is fitted to a large loblolly pine data set from the southeastern United States. Equations are presented that predict diameter at a given height, height to a given top diameter, and volume below a given position on the main stem. All estimates are inside bark. A condition is given that forces the Cao model to be exactly compatible with any total main stem volume equation. An exact volume estimation formula is derived. Twelve benchmarks, which represent realistic utilizati

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8

Bailey, Robert L. "A Compatible Volume-Taper Model Based On the Schumacher and Hall Generalized Constant Form Factor Volume Equation." Forest Science 40, no. 2 (1994): 303–13. http://dx.doi.org/10.1093/forestscience/40.2.303.

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Abstract The generalized constant form factor volume equation fitted in logarithmic form by Schumacher and Hall (1933) has a logical basis in solid geometry. By extension of this rationale to a consideration of stem tip volume above a specified top diameter, compatible models for inside- and outside-bark variable-top volume and stem taper are derived and fitted with data from 872 plantation grown slash pine trees. The volume equations predict total volume when upper diameter is zero and always predict nonnegative volumes for any upper diameter. The taper curves have inflection points near dbh

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9

Behling, Marcos, Henrique Soares Koehler, and Alexandre Behling. "COMPATIBILITY BETWEEN THE STEM VOLUME AND TAPER EQUATIONS VOLUME FOR BLACK WATTLE TREES." FLORESTA 50, no. 3 (2020): 1518. http://dx.doi.org/10.5380/rf.v50i3.63881.

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Анотація:

A system of equations widely used in Forest Engineering by the international community of researchers consists of a combination of a volumetric function and a taper function, with the purpose of making volume estimates compatible. When using the volume function and the taper function in a system, the result of the volume estimated by the two functions should be compatible, meaning that the volume estimated by the volumetric function should not differ from the volume obtained by integrating the taper function. Thus, the purpose of this paper was to develop and present the procedures of a system

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10

Behling, Marcos, Henrique Soares Koehler, and Alexandre Behling. "COMPATIBILITY BETWEEN THE SPURR FUNCTION VOLUME AND THE KOZAK’S TAPER FUNCTION AND QUINTIC POLYNOMIAL VOLUMES FOR BLACK WATTLE TREES." FLORESTA 51, no. 2 (2021): 521. http://dx.doi.org/10.5380/rf.v51i2.70887.

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Анотація:

When modeling the taper and volume, it is desired that the volume estimates obtained by using these two methods are compatible, where the total stem volume estimates shall not differ when using a total volume equation and the volume calculated by integrating the taper equation. There are several of such systems proposed in the literature, in which modifications in the volume and taper models were made to obtain compatible systems. This paper introduces an idea to obtain compatibility in a simpler way, without the need to modify the volume and taper models. Thus, the overall objective of this s

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11

Green, Edwin J., and David D. Reed. "Compatible Tree Volume and Taper Functions for Pitch Pine." Northern Journal of Applied Forestry 2, no. 1 (1985): 14–16. http://dx.doi.org/10.1093/njaf/2.1.14.

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Abstract Individual tree taper, volume ratio, and total volume equations are presented for pitch pine. The volume ratio equations may be used to determine merchantable volume to any height or upper stem diameter. The equations are compatible and are based on a recommended taper curve. Examples of how to employ the equations are presented. North J. Appl. For. 2:14-16, Mar. 1985.

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12

Jordan, Lewis, Kenneth Berenhaut, Ray Souter, and Richard F. Daniels. "Parsimonious and Completely Compatible Taper, Total, and Merchantable Volume Models." Forest Science 51, no. 6 (2005): 578–84. http://dx.doi.org/10.1093/forestscience/51.6.578.

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Abstract A parsimonious and compatible system of taper, total, and merchantable volume equations sharing a common vector of three parameter estimates was derived from Clark and Saucier's (1990) volume ratio model. Clark and Saucier's model expresses volume inside bark as a function of outside bark diameter and is itself not compatible with the derived taper equation. To ensure compatibility, models were fit to express volume outside bark as functions of diameter outside bark. By constraining the limits of integration of the taper function to go from the tip to groundline diameter, a completely

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13

Carey, Gale B., and Timothy J. Quinn. "Exercise and Lactation: Are They Compatible?" Canadian Journal of Applied Physiology 26, no. 1 (2001): 55–74. http://dx.doi.org/10.1139/h01-004.

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Анотація:

Lactation is an energy-demanding physiological process for the maternal organism and life-giving for the offspring. Likewise, exercise is an energy-demanding process. This review addresses the Compatibility of exercise during lactation. Human studies suggest no detrimental effect of exercise during lactation on milk composition and volume, infant growth and development, or maternal health. Studies also demonstrate improved cardiovascular fitness in lactating, exercising women and suggest a quicker return to pre-pregnancy body weight and a more positive sense of well-being, compared to sedentar

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14

Sharma, Mahadev. "Total and Merchantable Volume Equations for 25 Commercial Tree Species Grown in Canada and the Northeastern United States." Forests 12, no. 9 (2021): 1270. http://dx.doi.org/10.3390/f12091270.

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Accurate estimates of tree bole volume are fundamental to sustainable forest management. Total inside and outside bark and merchantable volume equations were developed for 25 major commercial tree species grown in natural stands in eastern and central Canada and the northeastern United States. Data used to develop these equations was collected from 9647 trees sampled from natural stands across the study area. The number of trees sampled varied among species. Jack pine (Pinus banksiana Lamb.) had the most observations (1648 trees) and American basswood (Tilia americana) and red oak (Quercus rub

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15

Rotello, LC, EJ Radin, MS Jastremski, D. Craner, and A. Milewski. "MRI protocol for critically ill patients." American Journal of Critical Care 3, no. 3 (1994): 187–90. http://dx.doi.org/10.4037/ajcc1994.3.3.187.

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BACKGROUND Ventilators compatible with magnetic resonance imaging machines are not universally available. However, the lack of such equipment should not preclude magnetic resonance imaging. We have developed a method by which a critically ill patient requiring mechanical ventilation can safely undergo such imaging without compatible equipment. METHOD By using extended ventilator tubing and calculating volume lost due to tubing compliance, safe and reliable mechanical ventilation can be achieved from a distance without impairing scan quality. RESULTS We devised a method to calculate volume lost

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16

Sharma, Mahadev. "Increasing Volumetric Prediction Accuracy—An Essential Prerequisite for End-Product Forecasting in Red Pine." Forests 11, no. 10 (2020): 1050. http://dx.doi.org/10.3390/f11101050.

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Анотація:

Sustainable forest management requires accurate estimates of wood volume. At present, red pine (Pinus resinosa Sol. ex Aiton) is the most widely planted conifer tree species in southern Ontario, Canada. Therefore, inside and outside bark volume equations were developed for red pine trees grown in plantations. One hundred and fifty red pine trees were sampled from 30 even-aged plantations from across Ontario, Canada. Height-diameter pairs along the boles of sampled trees used to calculate stem volumes were obtained from stem analysis. Equations fitted to the data were a combined variable, modif

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17

Castillo-López, Albert, Gerónimo Quiñonez-Barraza, Ulises Diéguez-Aranda, and José Javier Corral-Rivas. "Compatible Taper and Volume Systems Based on Volume Ratio Models for Four Pine Species in Oaxaca Mexico." Forests 12, no. 2 (2021): 145. http://dx.doi.org/10.3390/f12020145.

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Анотація:

Estimating tree volume components is an essential element in sustainable forest management. Compatible taper and merchantable outside-bark volume systems based on volume ratio models were globally fitted to four pine species (reduced models) with the aim to select the best reduced model and to fit it with dummy variables and additive effects using Pinus pseudostrobus Lindl as a base species. The study was carried out in the northern mountains of Oaxaca, Mexico. To fit the taper, merchantable volume, stem volume, branch volume, and total tree volume (stem volume and branch volume) equations, a

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18

Busto, Saray, Michael Dumbser, Ilya Peshkov, and Evgeniy Romenski. "On Thermodynamically Compatible Finite Volume Schemes for Continuum Mechanics." SIAM Journal on Scientific Computing 44, no. 3 (2022): A1723—A1751. http://dx.doi.org/10.1137/21m1417508.

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19

Busto, Saray, and Michael Dumbser. "A New Thermodynamically Compatible Finite Volume Scheme for Magnetohydrodynamics." SIAM Journal on Numerical Analysis 61, no. 1 (2023): 343–64. http://dx.doi.org/10.1137/22m147815x.

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20

Quiñonez-Barraza, Gerónimo, Dehai Zhao, and Héctor Manuel De los Santos-Posadas. "Compatible Taper and Stem Volume Equations for Five Pine Species in Mixed-Species Forests in Mexico." Forest Science 65, no. 5 (2019): 602–13. http://dx.doi.org/10.1093/forsci/fxz030.

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Abstract Ten systems of compatible taper and outside-bark volume equations derived from upper-height-based volume ratio equations were compared with a used segmented-stem system of compatible taper and volume equations. All the systems were simultaneously fitted to cumulative volume data and taper data for Arizona pine, Aztec pine, Durango pine, Mexican white pine, and Smooth-leaved pine species in naturally regenerated mixed-species forests in Mexico. The systems derived from volume ratio equations performed better than the segmented-stem system for most species. The resultant top systems mig

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21

Knoebel, Bruce R., Harold E. Burkhart, and Donald E. Beck. "A Growth and Yield Model for Thinned Stands of Yellow-Poplar." Forest Science 32, suppl_2 (1986): a0001—z0002. http://dx.doi.org/10.1093/forestscience/32.s2.a0001.

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Abstract Simultaneous growth and yield equations were developed for predicting basal area growth and cubic-foot volume growth and yield in thinned stands of yellow-poplar. A joint loss function involving both volume and basal area was used to estimate the coefficients in the system of equations. The estimates obtained were analytically compatible, invariant for projection length, and numerically equivalent with alternative applications of the equations. Given estimates of basal area and cubic-foot volume from these equations, board-foot volumes can also be calculated. As an adjunct to the stan

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22

Owarish, H. O., M. Ilyas, and F. S. Bhinder. "A Two-Dimensional Flow Analysis Model for Designing a Nozzle-less Volute Casing for Radial Flow Gas Turbines." Journal of Turbomachinery 114, no. 2 (1992): 402–10. http://dx.doi.org/10.1115/1.2929158.

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This paper describes a two-dimensional model for flow analysis and design of a single entry nozzle-less volute casing for inward flow radial turbines. The model takes into account the cross-sectional shape of the casing by dividing it into a number of segments, which are further subdivided into control volumes. Changes in flow properties are calculated by considering the changes in momenta of fluid in the tangential and radial directions across each control volume. The model has been computerized using Fortran 77 for the IBM AT or 100 percent compatible microcomputers.

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23

Quiñonez-Barraza, Gerónimo, Dehai Zhao, Héctor M. de los Santos-Posadas, Wenceslao Santiago-García, Juan C. Tamarit-Urías, and Juan A. Nájera-Luna. "Compatible taper, volume, green weight, biomass and carbon concentrationsystem for Quercus sideroxyla Bonpl." Revista Chapingo Serie Ciencias Forestales y del Ambiente 25, no. 1 (2018): 49–69. http://dx.doi.org/10.5154/r.rchscfa.2018.06.050.

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24

Van Deusen, Paul C. "Combining taper functions and critical height sampling for unbiased stand volume estimation." Canadian Journal of Forest Research 17, no. 11 (1987): 1416–20. http://dx.doi.org/10.1139/x87-219.

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Анотація:

New estimators have been developed for critical height sampling that allow any taper function to be used as a variance reduction mechanism. The new estimators are compatible with current horizontal point sampling procedures and will lead to unbiased estimates of cubic volume and cubic volume growth. It is proposed that critical height sampling should replace horizontal point sampling when one upper stem measurement can be made, because horizontal point sampling relies on predicted tree volumes and the assumption that resulting stand volume predictions are unbiased.

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25

Reed, David D., Elizabeth A. Jones, Timothy R. Bottenfield, and Carl C. Trettin. "Compatible cubic volume and basal area equations for red pine plantations." Canadian Journal of Forest Research 16, no. 2 (1986): 416–19. http://dx.doi.org/10.1139/x86-076.

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Анотація:

Compatible equations for projecting total cubic volume, merchantable cubic volume to any top diameter limit, quadratic mean stand diameter, and basal area per hectare are given for red pine plantations. A ratio method is used for estimating merchantable volume. The system of equations is developed and tested using data from plantations in upper Michigan.

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26

Byrne, John C., and David D. Reed. "Complex Compatible Taper and Volume Estimation Systems for Red and Loblolly Pine." Forest Science 32, no. 2 (1986): 423–43. http://dx.doi.org/10.1093/forestscience/32.2.423.

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Анотація:

Abstract Five equation systems are described which can be used to estimate upper stem diameter, total individual tree cubic-foot volume, and merchantable cubic-foot volumes to any merchantability limit (expressed in terms of diameter or height), both inside and outside bark. The equations provide consistent results since they are mathematically related and are fit using stem analysis data from plantation-grown red and loblolly pine. Comparisons are made to determine which equation system provides the best overall fit to a set of validation data for each species. Results indicate that a system

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27

Wang, Shan, Zhichao Wang, Zhongke Feng, Zhuang Yu, and Jinshan Li. "Construction of Compatible Volume Model for Populus in Beijing, China." Forests 15, no. 6 (2024): 1059. http://dx.doi.org/10.3390/f15061059.

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The accurate assessment of tree volume is crucial for developing forest management plans, and this can be achieved using tree volume models. In this study, data on individual trees were collected and calculated, including the diameter at breast height (D), ground diameter (DG), tree height (H), and tree volume (V). A total of 400 Populus × tomentosa Carrière, 400 Populus tomentosa Carr, and 400 Populus × canadensis Moench trees were sampled. Two compatible volume model systems were established using corresponding methods. The models consisted of the following five types: V-DH, V-D, V-DG, H-D,

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28

Nunes, Luís, José Tomé, and Margarida Tomé. "A system for compatible prediction of total and merchantable volumes allowing for different definitions of tree volume." Canadian Journal of Forest Research 40, no. 4 (2010): 747–60. http://dx.doi.org/10.1139/x10-030.

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Анотація:

A system of equations for compatible prediction of total and merchantable volumes that allows for different definitions of tree volume was developed in this study. The use of the developed system will allow the conversion and subsequent comparison of results from forest inventories using different definitions of tree volume (e.g., including or not the top material of the tree and (or) the stump, inside or outside bark). The compatibility between taper, total volume, and volume ratio equations is ensured by properly integrating the taper equation. The diameter under the bark at any height is mo

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29

Rustagi, Krishna P., and Robert S. Loveless Jr. "Compatible variable-form volume and stem-profile equations for Douglas-fir." Canadian Journal of Forest Research 21, no. 2 (1991): 143–51. http://dx.doi.org/10.1139/x91-018.

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Анотація:

A simple measure of stem form derived from geometric principles provides a basis for compatible volume and stem profile equations. Height ratios corresponding to three diameter ratios provide this measure and are compared in simple linear regression equations that predict a cylindrical form factor using data from a Douglas-fir (Pseudotsugamenziesii (Mirb.) Franco) stem analysis study. Further comparisons with existing volume and stem profile models from the literature show substantial gains in reducing above breast height volume prediction errors. Advantages and limitations of the models in bo

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30

Fengri, Li, Liu Hongzhu, Lu Yifang, and Yuan Zhiqiang. "Compatible stem taper and volume ratio equation for Korean pine." Journal of Northeast Forestry University 7, no. 4 (1996): 1–6. http://dx.doi.org/10.1007/bf02856105.

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31

Fang, Zixing, and Robert L. Bailey. "Compatible Volume and Taper Models with Coefficients for Tropical Species on Hainan Island in Southern China." Forest Science 45, no. 1 (1999): 85–100. http://dx.doi.org/10.1093/forestscience/45.1.85.

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Abstract Compatibility of a volume-taper equation system is generally defined to mean that volumes determined by integrating the taper curve from groundline to total tree height are algebraically identical to those obtained from the total volume or appropriate volume ratio equations. This constraint was applied to a previously published model as a boundary condition using the constant of integration resulting from the solution of the differential equation. Four cases are discussed that apply to different solutions of the differential equation. This set of models, all based on the same geometri

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32

Cao, Quang V., and Kenneth M. Durand. "A Growth and Yield Model for Improved Eastern Cottonwood Plantations in the Lower Mississippi Delta." Southern Journal of Applied Forestry 15, no. 4 (1991): 213–16. http://dx.doi.org/10.1093/sjaf/15.4.213.

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Abstract A compatible growth and yield model was developed based on remeasurement data collected from 183 plots on unthinned improved eastern cottonwood (Populus deltoides Bartr.) plantations in the lower Mississippi Delta. The Sullivan and Clutter (1972) equation form was selected for predicting cubic-foot volume yield and projecting volume from site index and initial age and basal area. Yield equations explained 97% and 94%, respectively, of the variations in total outside bark and merchantable inside bark volumes. Mean annual increment of merchantable volume culminated between 8 and 15 year

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33

Bruce, David. "Butt-Log Profile Equations." Forest Science 33, no. 1 (1987): 104–15. http://dx.doi.org/10.1093/forestscience/33.1.104.

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Abstract Several mathematical models were developed that describe the shape of butt logs and can be used to calculate their volumes. Three methods of developing profile equations were tested. The best method was to use the differentials of the individual terms of an unbiased volume estimator plus information about log shape to form the equation. The equation was then conditioned so that its volume estimates were compatible with the estimator. Several techniques for developing profile equations are described. Two potentially useful butt-log profile equations are derived. For. Sci. 33(1):104-115

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34

Zhao, Jiangtuo, Xinglong He, Caixia Zhang, et al. "P‐18.4: Optimized design of touch panel touch sensor for self‐compatible sensing volume performance improvement." SID Symposium Digest of Technical Papers 56, S1 (2025): 1822–24. https://doi.org/10.1002/sdtp.19226.

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Анотація:

In the scenario of low touch precision requirements (such as AOD interface), in order to save consumption, the pure self‐compatible scanning mode is a good choice. If the touch sensor self‐compatible sensing volume is low, it is easy to appear the touch no reaction phenomenon and touch break phenomenon in this pure self‐compatible scanning mode. If the touch is not sensitive in the AOD interface, It will lead to the probabilistic failure of the fingerprint unlocking function, and influence user experience.

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35

Jiang, Lichun, John R. Brooks, and Gerald R. Hobbs. "Using Crown Ratio in Yellow-Poplar Compatible Taper and Volume Equations." Northern Journal of Applied Forestry 24, no. 4 (2007): 271–75. http://dx.doi.org/10.1093/njaf/24.4.271.

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Abstract Linear and nonlinear crown ratio (CR) functions were incorporated into a segmented taper and cubic foot volume function developed for yellow-poplar in West Virginia. The inclusion of a CR variable provided significantly different parameter estimates but only modest improvement in the prediction of upper stem size and volume. Sample trees from the west central region of West Virginia exhibited a larger improvement. The main differences were concentrated in the stem section above 60% of total height.

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36

Li, Xiang, and Jin Yang. "The optimal problems for the compatible functional F." Filomat 38, no. 17 (2024): 5951–70. https://doi.org/10.2298/fil2417951l.

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Inspired by the definition and properties of geometric measures for convex bodies in Orlicz Brunn-Minkowski theory, such as Orlicz mixed volume, Orlicz mixed p-capacities (1 < p < n) and Orlicz mixed torsional rigidity, we will introduce a more general geometric invariant, called the Orlicz L? mixed compatible functional F?. Motivated by the optimal problems for the above three geometric measures, we discuss the optimization problem with respect to Orlicz L? mixed compatible functional F? and prove the existence of the solution of the problem. Moreover, we consider Orlicz and Lq (-n ? q

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37

Krisnawati, Haruni. "A COMPATIBLE ESTIMATION MODEL OF STEM VOLUME AND TAPER FOR Acacia mangium Willd. PLANTATIONS." Indonesian Journal of Forestry Research 3, no. 1 (2016): 49–64. https://doi.org/10.59465/ijfr.2016.3.1.49-64.

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This study describes the establishment of a compatible volume estimation model for Acacia mangium Willd on the basis of 279 felled sample trees collected from the A. mangium plantation stands in South Sumatra, Indonesia. The model comprises of a total volume model and a stem taper model, which is compatible in the sense of the total volume obtained by integration of the taper model being equal to that computed by the total volume model. Several well-known total volume functions were evaluated including constant form factor, combined variable, generalized combine variable, logarithmic, generali

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38

McTague, John P., and Robert L. Bailey. "Simultaneous total and merchantable volume equations and a compatible taper function for loblolly pine." Canadian Journal of Forest Research 17, no. 1 (1987): 87–92. http://dx.doi.org/10.1139/x87-015.

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Loblolly pine (Pinustaeda L.) is an important source of raw material for the forest products industry of Santa Catarina, Brazil. Data from 159 trees were used to develop a simultaneously estimated total and merchantable volume equation, which treats total volume as a special case of merchantable volume with Dm, the diameter limit, equal to zero. By imposing a restriction on the parameters of the total and merchantable volume equation, a compatible taper function was derived that predicts diameter at breast height when merchantable height equals 1.3 m. The taper function possesses an analytic p

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39

Boscheri, Walter, Michael Dumbser, and Pierre-Henri Maire. "A New Thermodynamically Compatible Finite Volume Scheme for Lagrangian Gas Dynamics." SIAM Journal on Scientific Computing 46, no. 4 (2024): A2224—A2247. http://dx.doi.org/10.1137/23m1580863.

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40

Jiang, Lichun, John R. Brooks, and Jingxin Wang. "Compatible taper and volume equations for yellow-poplar in West Virginia." Forest Ecology and Management 213, no. 1-3 (2005): 399–409. http://dx.doi.org/10.1016/j.foreco.2005.04.006.

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41

Brooks, John R., Lichun Jiang, and Alexander Clark. "Compatible Stem Taper, Volume, and Weight Equations for Young Longleaf Pine Plantations in Southwest Georgia." Southern Journal of Applied Forestry 31, no. 4 (2007): 187–91. http://dx.doi.org/10.1093/sjaf/31.4.187.

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Abstract Outside and inside bark diameter measurements were recorded from tree disks obtained at 0-, 0.5-, 2.0-, 4.5-, 6.0-, 16.6-, and at 4-ft-height intervals above 6 ft to a 2-in. diameter outside bark top diameter on 42 longleaf pine trees selected from intensively managed longleaf pine (Pinus palustris Mill.) plantations in Dougherty and Worth Counties in southwest Georgia. Trees were sampled from unthinned, cutover stands in their 11th and 14th growing season, which are currently part of an existing growth and yield study. Sample trees ranged from 2 to 7 in. in diameter and from 18 to 40

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42

Lynch, Thomas B. "Volume Estimation from Sample Tree Counts with Certain Individual Tree Volume Equations." Forest Science 34, no. 3 (1988): 677–97. http://dx.doi.org/10.1093/forestscience/34.3.677.

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Abstract Since rapid inventories of forester areas are often required, it is desirable to reduce tree measurements for volume estimation when individual tree volume equations of certain commonly used types are available. In some cases it is possible to do so by altering the usual horizontal point sampling procedure so that sample trees are chosen with probability exactly proportional to the equations being used to obtain individual tree volume. In certain other cases, estimators are presented that combine counts of fixed-size and variable-size plots. One of the methods is compatible with local

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43

Walley, Kempland, Tyler Gonzalez, Evan Roush, et al. "The Role of 3D Reconstruction True Volume Analysis in Osteochondral Lesions of the Talus." Foot & Ankle Orthopaedics 3, no. 3 (2018): 2473011418S0012. http://dx.doi.org/10.1177/2473011418s00127.

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Category: Other Introduction/Purpose: Evaluation and management of osteochondral lesions of the talus (OLTs) often warrant advanced imaging studies such as CT and/or MRI. While MRI has its advantages in determining the degree of cartilage damage, stability of the fragment and edema, CT imaging is better delineates the osseous anatomy and extent of the lesion. The latter imaging modality offers increasing acuity and resolution in characterizing the complex osteochondral landscape via three-dimensional (3D) reconstructions. It is possible that orthopedic surgeons may overestimate the size and mi

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44

Roesch, Francis A., Edwin J. Green, and Charles T. Scott. "New Compatible Estimators for Survivor Growth and Ingrowth from Remeasured Horizontal Point Samples." Forest Science 35, no. 2 (1989): 281–93. http://dx.doi.org/10.1093/forestscience/35.2.281.

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Abstract Forest volume growth between two measurements is often decomposed into the components of survivor growth (S), ingrowth (I), mortality (M), and cut (C) (for example, Beers 1962 or Van Deusen et al. 1986). Net change between volumes at times 1 and 2 (V2 - V1) is then represented by the equation V2 - V1 = S + I - M - C. Two new compatible pairs of estimators for S and I in this equation are presented for use with the usual estimators of V2 and V1 from permanent horizontal point samples. In addition, a new estimator for V1 (V1**) is presented, which takes advantage of the data from time 2

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45

Zhang, Yanhuan, Ping Chen, and Heng Zhang. "Aviation six-phase compatible permanent magnet synchronous motor based on Halbach distribution." Journal of Physics: Conference Series 2835, no. 1 (2024): 012040. http://dx.doi.org/10.1088/1742-6596/2835/1/012040.

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Abstract Due to the current domestic environment, the development of advanced engines, such as ultra-high-speed aircraft, has put forward strict requirements for motor structure systems. Making a comparison with the traditional motor structure, the six-phase compatible permanent magnet synchronous motor, which is based on Halbach distribution, has many other advantages obviously, such as smaller volume, a higher number of functional units contained within a unit volume is higher, and a stronger fault tolerance. This paper studies the electromagnetic design, electromagnetic analysis, and fault

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46

Villela-Suárez, Juan M., Oscar A. Aguirre-Calderón, Eduardo J. Treviño-Garza, Marco A. González-Tagle, Israel Yerena-Yamallel, and Benedicto Vargas-Larreta. "Minimum sample size for fitting compatible taper-volume functions for three pine species in Chihuahua." Revista Chapingo Serie Ciencias Forestales y del Ambiente 27, no. 1 (2020): 143–63. http://dx.doi.org/10.5154/r.rchscfa.2020.04.031.

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Introduction: The choice of sample size is an important decision in the development of volume models and taper functions. Objective: To calculate the minimum sample size required for fitting compatible taper-volume functions for Pinus arizonica Engelm., P. durangensis Martínez and P. engelmannii Carr. in Chihuahua. Materials and methods: The methodology was divided into three phases: (i) fitting of a linear regression model to the diameter-height data of 50 trees of each species in the three forest regions; (ii) calculation of the minimum sample size required, and (iii) comparison of the goodn

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47

Kastein, Lewis, Hugues Marchand, Mark J. Furlong, and Rodney Pelzel. "60‐3: CMOS Compatible microLED Epitaxy for Display Applications." SID Symposium Digest of Technical Papers 55, no. 1 (2024): 826–27. http://dx.doi.org/10.1002/sdtp.17657.

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Results from AlGaInP (red) microLED devices deposited by MOCVD on 200 mm Ge substrates will be presented. As a potential replacement for GaAs, Ge offers advantages which include ultra low levels of bulk defectivity, superior mechanical strength and cost competitiveness versus incumbent substrate technologies. Additionally, Ge is a CMOS fab compatible substrate which is a key to accessing high volume manufacturing within existing Si foundries, 300 mm being a future key enabler

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48

Lynch, Thomas B. "Total Cubic Volume Equations Implied by Diameter-Based Merchantable to Total Volume Ratio Models." Forest Science 32, no. 1 (1986): 262–67. http://dx.doi.org/10.1093/forestscience/32.1.262.

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Abstract Standard total cubic foot volume equations were derived from models used to predict the ratio of merchantable to total cubic foot volume. This was accomplished by an extension of the methods used by Clutter (1980) to derive taper equations from variable-top merchantable volume equations. Taper curves developed by using the derived volume equation were constrained to pass through stump diameter at stump height. Together with Clutter's (1980) results, the volume equation developed was part of a compatible system of total volume and taper equations derived from a specified form of diamet

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49

Ebers, Kevin, Florian Huber, Klaus Radermacher, and Anne Benninghaus. "MR-Compatible Pump for the Validation of PC-MRI Flow Measurements." Current Directions in Biomedical Engineering 10, no. 4 (2024): 216–19. https://doi.org/10.1515/cdbme-2024-2052.

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Abstract The technique of PC-MRI flow measurement offers a great opportunity to diagnose and understand the pathogenesis of various diseases and clinical pictures. Although previously criticized for its lack of accuracy, the method is now expanding the possibilities in several research areas. In this study, the design of an MR-compatible pump for the validation of PC-MRI flow measurements is presented. Initial PC-MRI measurements have demonstrated MRcompatibility and the ability to record artifact-free flows. The flow generated by the pump was further measured with an ultrasound flow sensor an

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50

Zheng, C., Y. Wang, L. Jia, et al. "Compatible taper-volume models of Quercus variabilis Blume forests in north China." iForest - Biogeosciences and Forestry 10, no. 3 (2017): 567–75. http://dx.doi.org/10.3832/ifor2114-010.

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