Academic literature on the topic 'Functional text geometry'
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Journal articles on the topic "Functional text geometry"
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ANDRUCHOW, ESTEBAN, and LÁZARO A. RECHT. "GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY." International Journal of Mathematics 19, no. 10 (November 2008): 1223–46. http://dx.doi.org/10.1142/s0129167x08005102.
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Given a C*-algebra [Formula: see text] with trace τ, we compute the first and second variation formulas for the p-energy functional Fp of the unitary group [Formula: see text] of [Formula: see text], for p = 2n an even integer, namely: [Formula: see text] where [Formula: see text] is a smooth curve for t ∈ [a, b]. As an application of these formulas, we prove that if dp denotes the geodesic distance of the Finsler metric induced by the p-norm [Formula: see text] with [Formula: see text] and δ(t) is a geodesic of [Formula: see text] joining δ(0) = u0 and δ(1) = u1, then the mapping [Formula: see text] is convex.
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Bhardwaj, Vinod Kumar. "Non-minimal matter-geometry coupling in the Bianchi-V spacetime within the formalism of f(R, T) = f1(R) + f2(R)f3(T) cosmology." Modern Physics Letters A 33, no. 39 (December 21, 2018): 1850234. http://dx.doi.org/10.1142/s0217732318502346.
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The models of [Formula: see text] gravity are efficient in describing a non-minimal coupling between geometry and matter. In this paper, the extended theory of gravity describes the non-minimal coupling between matter and geometry using special cosmological model of [Formula: see text] in Bianchi-V spacetime; whose functional relations are [Formula: see text] and [Formula: see text], where [Formula: see text] is a constant. The Einstein’s field equation has been solved by taking special choice of scale factor as [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] are constants. The energy and other stability conditions obtained in this paper explain the physical behavior of phase transition of universe and it also confirms the stability of the derived model.
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Yu, Zhicheng, Xiurong Zhang, Peiying Huo, and Kun Gao. "Structures and electronic properties of WmMon (m + n ≤ 7) clusters." International Journal of Modern Physics B 32, no. 04 (February 2018): 1850041. http://dx.doi.org/10.1142/s0217979218500418.
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Geometric and electronic structures of W[Formula: see text]Mo[Formula: see text] (m + n [Formula: see text] 7) clusters have been systematically calculated by density functional theory (DFT) at the generalized gradient approximation (GGA) level for ground-state structures. Geometry optimization shows that clusters are almost bipyramid structures with m + n [Formula: see text] 4. E[Formula: see text] of clusters is mainly dominated by W atoms. And the substitution of atoms between W and Mo in Mo[Formula: see text] or W[Formula: see text] (n [Formula: see text] 7) clusters enhances the stability of the original clusters. The calculated IE shows that W[Formula: see text]Mo, W[Formula: see text]Mo2, W[Formula: see text]Mo3 and WMo[Formula: see text] are relatively more stable in the chemical reaction. In addition, the magnetism of clusters mainly comes from valance d orbitals.
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Kaur, Rupan Preet, Ravinder Singh Sawhney, and Derick Engles. "Charging and geometric effects on conduction through Anthracene molecular junctions." International Journal of Computational Materials Science and Engineering 06, no. 02 (May 15, 2017): 1750013. http://dx.doi.org/10.1142/s2047684117500130.
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We studied the geometric effects on the charge transfer through the anthracenedithiol (ADT) molecular junction using density functional theory combined with the non-equilibrium Green’s function approach. Two major geometric aspects, bond length and bond angle, were moderated to optimize the electrical conduction. From the results established in this paper, we found that the electrical conduction can be tuned from 0.2 [Formula: see text] to 0.9 [Formula: see text] by varying the Au–S bond length, whereas the moderation of bonding angle assayed a minor change from 0.37 [Formula: see text] to 0.47 [Formula: see text]. We attributed this escalating zero bias conductance to the increasing charge on the terminal sulfur atom of the ADT molecule, which increased the energy of the HOMO orbital towards Fermi level and exhibited a semi-metallic behaviour. Therefore, geometry plays a critical role in deciding the charge transport through the metal/molecule interface.
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CHAND, A. K. B., and N. VIJENDER. "A NEW CLASS OF FRACTAL INTERPOLATION SURFACES BASED ON FUNCTIONAL VALUES." Fractals 24, no. 01 (March 2016): 1650007. http://dx.doi.org/10.1142/s0218348x16500079.
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Fractal interpolation is a modern technique for fitting of smooth/non-smooth data. Based on only functional values, we develop two types of [Formula: see text]-rational fractal interpolation surfaces (FISs) on a rectangular grid in the present paper that contain scaling factors in both directions and two types of positive real parameters which are referred as shape parameters. The graphs of these [Formula: see text]-rational FISs are the attractors of suitable rational iterated function systems (IFSs) in [Formula: see text] which use a collection of rational IFSs in the [Formula: see text]-direction and [Formula: see text]-direction and hence these FISs are self-referential in nature. Using upper bounds of the interpolation error of the [Formula: see text]-direction and [Formula: see text]-direction fractal interpolants along the grid lines, we study the convergence results of [Formula: see text]-rational FISs toward the original function. A numerical illustration is provided to explain the visual quality of our rational FISs. An extra feature of these fractal surface schemes is that it allows subsequent interactive alteration of the shape of the surfaces by changing the scaling factors and shape parameters.
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Shojaee, Neda, and Morteza MirMohammad Rezaii. "On the conformal scalar curvature equations on Finsler manifolds." International Journal of Geometric Methods in Modern Physics 14, no. 01 (December 20, 2016): 1750008. http://dx.doi.org/10.1142/s0219887817500086.
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In this paper, we study conformal deformations and [Formula: see text]-conformal deformations of Ricci-directional and second type scalar curvatures on Finsler manifolds. Then we introduce the best equation to study the Yamabe problem on Finsler manifolds. Finally, we restrict conformal deformations of metrics to [Formula: see text]-conformal deformations and derive the Yamabe functional and the Yamabe flow in Finsler geometry.
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Haress, Nadia G., Devarasu Manimaran, Isaac Hubert Joe, Aida A. EL-Azzouny, Reem I. Al-Wabli, and Mohamed I. Attia. "Vibrational and electronic profiles, molecular docking and biological prediction of 5-methoxy-1-[(5-methoxy- 1H-indol-2-yl)methyl]-1H-indole: Experimental and theoretical investigations." Journal of Theoretical and Computational Chemistry 15, no. 06 (September 2016): 1650046. http://dx.doi.org/10.1142/s0219633616500462.
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Indole derivatives represent an important class of privileged structures. Spectroscopic (Fourier transform infrared (FT-IR), FT-Raman, 1H and [Formula: see text]C nuclear magnetic resonance (NMR)) investigations of the indole-bearing title compound, namely 5-methoxy-1-[(5-methoxy-1[Formula: see text]-indol-2-yl)methyl]-1[Formula: see text]-indole (MMIMI) have been carried out. The corresponding data of the MMIMI molecule were analyzed to understand its optimized geometry, and inter/intra-molecular interactions. The equilibrium geometry, harmonic vibrational wavenumbers, Frontier orbital energy, and natural bond orbital (NBO) analyses have been performed with the help of density functional theory (DFT) with B3LYP/6-311[Formula: see text]G([Formula: see text],[Formula: see text]) level of theory. The vibrational modes have been unequivocally assigned using potential energy distribution analysis. The theoretically predicted wavenumbers have good agreement with the experimental values. NBO has confirmed the intra-molecular charge transfer interactions. HOMO–LUMO analysis was carried out to explore charge delocalization on the MMIMI molecule. The immunomodulatory activity of the title molecule was predicted using molecular docking approach.
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Liang, Ximin, Qiyan Zhang, Qinfu Zhao, He Zhao, Yifan Feng, Bingbing Suo, Huixian Han, et al. "CO2 Adsorption on the B12N12 Nanocage Encapsulated with Alkali Metals: A Density Functional Study." Nano 14, no. 03 (March 2019): 1950034. http://dx.doi.org/10.1142/s1793292019500346.
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Density functional theory (DFT) calculations have been carried out to study the capacity of the B[Formula: see text]N[Formula: see text] nanocage encapsulated with alkali metals (Li, Na, K) for the CO2 adsorption and activation. It is found that after encapsulating alkali metals, the alkali metal atoms are closer to one side of clusters instead of exactly lying at the center, and a considerable charge transfers from the inner alkali metal atoms to the B[Formula: see text]N[Formula: see text] cage. Besides, the HOMO–LUMO gap (HLG) values of Li@B[Formula: see text]N[Formula: see text], Na@B[Formula: see text]N[Formula: see text] and K@B[Formula: see text]N[Formula: see text] are decreased to about 6[Formula: see text]eV, being much smaller than that of the pristine B[Formula: see text]N[Formula: see text]. Although the geometry structure parameters and the energy differences of M06-2X are slightly different from the ones of [Formula: see text]B97X-D, some identical results of two kinds of functional can be obtained. CO2 can be adsorbed chemically and physically on majority bonds of all the clusters, except for some bonds with large change in bond length and bond indices. The encapsulation of alkali-metal atoms may enhance the physical and chemical adsorption of CO2 on the surface of the clusters, in which Na@B[Formula: see text]N[Formula: see text] and K@B[Formula: see text]N[Formula: see text] are the most powerful physical and chemical adsorbent for CO2, respectively.
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Fraser, Graham M., Stephanie Milkovich, Daniel Goldman, and Christopher G. Ellis. "Mapping 3-D functional capillary geometry in rat skeletal muscle in vivo." American Journal of Physiology-Heart and Circulatory Physiology 302, no. 3 (February 2012): H654—H664. http://dx.doi.org/10.1152/ajpheart.01185.2010.
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We have developed a novel mapping software package to reconstruct microvascular networks in three dimensions (3-D) from in vivo video images for use in blood flow and O2 transport modeling. An intravital optical imaging system was used to collect video sequences of blood flow in microvessels at different depths in the tissue. Functional images of vessels were produced from the video sequences and were processed using automated edge tracking software to yield location and geometry data for construction of the 3-D network. The same video sequences were analyzed for hemodynamic and O2 saturation data from individual capillaries in the network. Simple user-driven commands allowed the connection of vessel segments at bifurcations, and semiautomated registration enabled the tracking of vessels across multiple focal planes and fields of view. The reconstructed networks can be rotated and manipulated in 3-D to verify vessel connections and continuity. Hemodynamic and O2 saturation measurements made in vivo can be indexed to corresponding vessels and visualized using colorized maps of the vascular geometry. Vessels in each reconstruction are saved as text-based files that can be easily imported into flow or O2 transport models with complete geometry, hemodynamic, and O2 transport conditions. The results of digital morphometric analysis of seven microvascular networks showed mean capillary diameters and overall capillary density consistent with previous findings using histology and corrosion cast techniques. The described mapping software is a valuable tool for the quantification of in vivo microvascular geometry, hemodynamics, and oxygenation, thus providing rich data sets for experiment-based computational models.
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Khatsymovsky, V. M. "On the discrete version of the Kerr geometry." International Journal of Modern Physics A 36, no. 20 (July 7, 2021): 2150130. http://dx.doi.org/10.1142/s0217751x2150130x.
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In this paper, a Kerr-type solution in the Regge calculus is considered. It is assumed that the discrete general relativity, the Regge calculus, is quantized within the path integral approach. The only consequence of this approach used here is the existence of a length scale at which edge lengths are loosely fixed, as considered in our earlier paper. In addition, we previously considered the Regge action on a simplicial manifold on which the vertices are coordinatized and the corresponding piecewise constant metric is introduced, and found that for the simplest periodic simplicial structure and in the leading order over metric variations between four-simplices, this reduces to a finite-difference form of the Hilbert–Einstein action. The problem of solving the corresponding discrete Einstein equations (classical) with a length scale (having a quantum nature) arises as the problem of determining the optimal background metric for the perturbative expansion generated by the functional integral. Using a one-complex-function ansatz for the metric, which reduces to the Kerr–Schild metric in the continuum, we find a discrete metric that approximates the continuum one at large distances and is nonsingular on the (earlier) singularity ring. The effective curvature [Formula: see text], including where [Formula: see text] (gravity sources), is analyzed with a focus on the vicinity of the singularity ring.
Dissertations / Theses on the topic "Functional text geometry"
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Mosese, Nthabiseng Mamotho. "Evaluating the effectiveness of the use of information and communication technology in the teaching and learning of trigonometry functions in grade 12." Diss., 2017. http://hdl.handle.net/10500/23449.
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The high school pass rate, for mathematics, in South Africa is very low. This is particularly so in trigonometry functions. One of the possible factors leading to this is the traditional method of teaching and learning. This study was undertaken to determine whether the use of Information and Communication Technology (ICT) would influence students’ learning of trigonometry functions. In order to answer this question the teaching and learning instructions developed were based on activity theory (AT) and action, process, object, and schema (APOS) theory. The study followed a non-equivalent control group, quasi-experimental design with a pre- post-test approach. Since it was not possible to randomly select participants for the study, intact groups were used. There were two groups: a control and an experimental one. Both groups wrote a standardized achievement pre-test to establish their comparability at the beginning of the study.
While the control group was taught in the traditional way (grade 10-12 syllabus), the experimental group used the software Geogebra. The computer software (Geogebra) and the South African grade 10-12 syllabus for trigonometry functions were used during the lessons of the experimental group. At the end of the study, a similar post-test was administered on both groups to measure the comparative effects of either of the teaching methods on the performance of students. A t-test independent sample statistical analysis was performed on the findings using a statistics package, SPSS. The results of this investigation indicated that the use of the computer software, Geogebra, in the teaching and learning of trigonometry functions improved the performance of the Grade 12 students.Mathematics Education
M. Sc. (Mathematics Education)
Books on the topic "Functional text geometry"
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Zhukova, Galina, and Margarita Rushaylo. The mathematical analysis. Volume 2. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072172.
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The aim of the tutorial is to help students to master the basic concepts and methods of the study of calculus. In volume 2 we study analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Taylor series and Maclaurin, and Fourier series; applications to the analysis and solution of applied problems. Great attention is paid to comparison of these methods, the proper choice of study design tasks, analyze complex situations that arise in the study of these branches of mathematical analysis.
For self-training and quality control knowledge given test questions.
For teachers, students and postgraduate students studying mathematical analysis.
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Two temperaments seen through Strindberg's Miss Julie. Lund, Sweden: Copenhagen University, Denmark, 2012.
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The Automorphism Groups of Domains (Birkhduser Advanced Texts / Basler Lehrb]cher). Birkhauser, 2007.
Find full textBook chapters on the topic "Functional text geometry"
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Bilke, Lars, Thomas Fischer, Dmitri Naumov, Daniel Pötschke, Karsten Rink, Amir Shoarian Sattari, Patrick Schmidt, Wenqing Wang, and Keita Yoshioka. "Code Descriptions." In GeomInt–Mechanical Integrity of Host Rocks, 243–54. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61909-1_7.
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AbstractThe FFS method (see Sect. 10.1007/978-3-030-61909-1_3) was developed to simulate direct shear tests. To provide a tool for the project work and get things easier done a graphical user interface (GUI) was also created. The GUI simply calls all necessary functions by letting the user either fill form fields or choose input files from the working folder. The rock parameters and the conditions of the direct shear test with the normal stress levels and shear displacements have to be selected. If an experiment is simulated the lab results can be selected as a text file so a visual comparison is possible. The geometry has to be loaded as a point cloud or an artificial surface can be generated. With small modifications the code can do multiple executions using artificial surfaces.
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Goebel, Kazimierz, and Stanisław Prus. "Basics and prerequisites." In Elements of Geometry of Balls in Banach Spaces, 1–11. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198827351.003.0001.
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The chapter contains notation and an overview of prerequisites needed to understand the further text. They mostly correspond to the standard course of functional analysis. A few more advanced subjects like criteria of reflexivity, finite dimensional decompositions, etc., are briefly described.
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Riley, Sam. "Logarithms through their history in mathematics education." In “DIG WHERE YOU STAND” 6. Proceedings of the Sixth International Conference on the History of Mathematics Education, 29–41. WTM-Verlag Münster, 2020. http://dx.doi.org/10.37626/ga9783959871686.0.03.
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Over the first century and a half of their discovery, logarithms were seen and understood in a variety of ways. Depending on the mathematical beliefs of an author, they could choose to introduce logarithms as a geometric-mechanical object, or as an index of a geometric progression, or through an exponential equation. The choice of introduction then influenced how their reader viewed and used logarithms, and has implications for teachers today as they attempt to explain this topic. In looking over the works of three authors, Colin MacLaurin, William Frend, and George Peacock, we can see logarithms displayed in three different ways. In combining these presentations with our modern understanding of logarithms as a number, an operation, and a function, we can choose parts of the text that could help current students make sense of a difficult concept. Keywords: history, mathematicians, Cambridge, logarithms, textbook analysis
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Levey, Samuel. "The Continuum, the Infinitely Small, and the Law of Continuity in Leibniz." In The History of Continua, 123–57. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198809647.003.0007.
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This chapter studies Leibniz’s watershed contributions to the analysis of continuity. Special attention is given to two early texts, Pacidius Philalethi and De Quadratura Arithmetica (both 1676), that document his central views on the composition of the continuum and the foundations of his infinitesimal geometry (and, later, his infinitesimal calculus); and to a handful of later documents, notably Specimen geometriae luciferae (1695) and Cum prodiisset (c. 1701), which reveal Leibniz’s groundbreaking new analysis of the concept of continuity of space, his definition of continuity for functions, and his most considered defense of the use of infinitesimals in his calculus as fictions. Leibniz holds that real quantities in nature are always actually infinitely divided into parts but never into points or infinitesimals. Contrary to popular history, Leibniz’s calculus is not committed to infinitesimals but is developed in strict accord with the axiom of Archimedes and the related principle that quantities that differ by less than any given quantity are equal.
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"Fish Habitat: Essential Fish Habitat and Rehabilitation." In Fish Habitat: Essential Fish Habitat and Rehabilitation, edited by Peter J. Rubec, Jennifer C. W. Bexley, Henry Norris, Michael S. Coyne, Mark E. Monaco, Steven G. Smith, and Jerald S. Ault. American Fisheries Society, 1999. http://dx.doi.org/10.47886/9781888569124.ch10.
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<em>Abstract.—</em> A need exists to scientifically determine optimal fish habitats to support decision making for management of essential fish habitat. Scientists have been collaborating to conduct habitat suitability index (HSI) modeling to spatially delineate fish habitats for estuarine fish and invertebrate species in Tampa Bay and Charlotte Harbor, Florida. Results from HSI modeling of juvenile spotted seatrout <em>Cynoscion nebulosus </em> in Charlotte Harbor are presented. Data obtained from 1989–1997 by fisheries-independent monitoring in the two estuaries were used along with environmental data from other sources. Standardized catch-per-unit-effort (catch rates) were calculated across gear types using fisheries-monitoring data from Charlotte Harbor and Tampa Bay. Suitability index functions were determined using three methods: (1) frequency of occurrence, (2) mean catch rates within ranges, and (3) smooth-mean catch rates determined by polynomial regression. Mean catch rates were estimated within biologically relevant ranges and, where sufficient data were available, for finer intervals across environmental gradients. Suitability index functions across environmental gradients were then derived by scaling catch rates. Gridded habitat layers for temperature, salinity, depth, and bottom type in Charlotte Harbor were also created using a geographic information system. Habitat suitability index modeling was conducted using the U.S. Fish and Wildlife Service geometric mean method linked to the ArcView Spatial Analyst module. The model integrated suitability indices associated with the habitat layers for Charlotte Harbor to create a map of the predicted distribution for juvenile spotted seatrout during the fall season. Suitability indices developed for Tampa Bay were used with Charlotte Harbor habitat layers to test transfer of the indices to another estuary. Predicted HSI maps depicted low to optimum habitat suitability zones in Charlotte Harbor. Model performance was evaluated by statistically comparing the relative ranking of mean catch rates with mean suitability indices for corresponding zones. Suitability indices obtained using polynomial regression methods yielded morereliable HSI maps for juvenile spotted seatrout than those derived using mean catch rates within biologically relevant ranges. The observed map, derived using smooth-mean suitability indices transferred from Tampa Bay, was not significantly different (Chi-square goodness-of-fit test) from the expected map derived using smooth-mean indices from Charlotte Harbor. Our modeling efforts using transferred indices indicate that it is possible to predict the geographic distributions of fish species by life stage in estuaries lacking fisheries monitoring.
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"Fish Habitat: Essential Fish Habitat and Rehabilitation." In Fish Habitat: Essential Fish Habitat and Rehabilitation, edited by Peter J. Rubec, Jennifer C. W. Bexley, Henry Norris, Michael S. Coyne, Mark E. Monaco, Steven G. Smith, and Jerald S. Ault. American Fisheries Society, 1999. http://dx.doi.org/10.47886/9781888569124.ch10.
Full textAbstract:
<em>Abstract.—</em> A need exists to scientifically determine optimal fish habitats to support decision making for management of essential fish habitat. Scientists have been collaborating to conduct habitat suitability index (HSI) modeling to spatially delineate fish habitats for estuarine fish and invertebrate species in Tampa Bay and Charlotte Harbor, Florida. Results from HSI modeling of juvenile spotted seatrout <em>Cynoscion nebulosus </em> in Charlotte Harbor are presented. Data obtained from 1989–1997 by fisheries-independent monitoring in the two estuaries were used along with environmental data from other sources. Standardized catch-per-unit-effort (catch rates) were calculated across gear types using fisheries-monitoring data from Charlotte Harbor and Tampa Bay. Suitability index functions were determined using three methods: (1) frequency of occurrence, (2) mean catch rates within ranges, and (3) smooth-mean catch rates determined by polynomial regression. Mean catch rates were estimated within biologically relevant ranges and, where sufficient data were available, for finer intervals across environmental gradients. Suitability index functions across environmental gradients were then derived by scaling catch rates. Gridded habitat layers for temperature, salinity, depth, and bottom type in Charlotte Harbor were also created using a geographic information system. Habitat suitability index modeling was conducted using the U.S. Fish and Wildlife Service geometric mean method linked to the ArcView Spatial Analyst module. The model integrated suitability indices associated with the habitat layers for Charlotte Harbor to create a map of the predicted distribution for juvenile spotted seatrout during the fall season. Suitability indices developed for Tampa Bay were used with Charlotte Harbor habitat layers to test transfer of the indices to another estuary. Predicted HSI maps depicted low to optimum habitat suitability zones in Charlotte Harbor. Model performance was evaluated by statistically comparing the relative ranking of mean catch rates with mean suitability indices for corresponding zones. Suitability indices obtained using polynomial regression methods yielded morereliable HSI maps for juvenile spotted seatrout than those derived using mean catch rates within biologically relevant ranges. The observed map, derived using smooth-mean suitability indices transferred from Tampa Bay, was not significantly different (Chi-square goodness-of-fit test) from the expected map derived using smooth-mean indices from Charlotte Harbor. Our modeling efforts using transferred indices indicate that it is possible to predict the geographic distributions of fish species by life stage in estuaries lacking fisheries monitoring.
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Wang, Ying-Hong. "A Spatial Relationship Method Supports Image Indexing and Similarity Retrieval." In Multimedia Technologies, 1569–90. IGI Global, 2008. http://dx.doi.org/10.4018/978-1-59904-953-3.ch112.
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The increasing availability of image and multimedia-oriented applications markedly impacts image/multimedia file and database systems. Image data are not well-defined keywords such as traditional text data used in searching and retrieving functions. Consequently, various indexing and retrieving methodologies must be defined based on the characteristics of image data. Spatial relationships represent an important feature of objects (called icons) in an image (or picture). Spatial representation by 2-D String and its variants, in a pictorial spatial database, has been attracting growing interest. However, most 2-D Strings represent spatial information by cutting the icons out of an image and associating them with many spatial operators. The similarity retrievals by 2-D Strings require massive geometric computation and focus only on those database images that have all the icons and spatial relationships of the query image. This study proposes a new spatial-relationship representation model called “Two Dimension Begin-End boundary string” (2D Be-string). The 2D Be-string represents an icon by its MBR boundaries. By applying “dummy objects,” the 2D Be-string can intuitively and naturally represent the pictorial spatial information without any spatial operator. A method of evaluating image similarities, based on the modified “Longest Common Subsequence” (LCS) algorithm, is presented. The proposed evaluation method can not only sift out those images of which all icons and their spatial relationships fully accord with query images, but for those images whose icons and/or spatial relationships are similar to those of query images. Problems of uncertainty in the query targets and/or spatial relationships thus solved. The representation model and similarity evaluation also simplify the retrieval progress of linear transformations, including rotation and reflection, of images.
Conference papers on the topic "Functional text geometry"
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Zhang, GuangChun, Hongchun Wu, Liangzhi Cao, and Youqi Zheng. "Calculations of the Dual Functional Lithium Lead-Test Blanket Module for ITER With Three-Dimensional Deterministic Method." In 2012 20th International Conference on Nuclear Engineering and the ASME 2012 Power Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/icone20-power2012-54445.
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Neutronics calculations and analysis of ITER test blanket module lay the foundation for the design, construct and experiment of ITER. In this paper, the realistic 3D neutronics calculations of the dual functional lithium lead-test blanket module (DFII-TBM) have been carried out by means of the 3D MOC code and the SPN code, which are both deterministic methods and developed by NECP lab, adopting the multi-group nuclear data library FENDI/MG-2.1. The main features of the TBM nuclear response are assessed, paying a particular attention to the neutron flux and tritium production rate. The 3DMOC code is a coupling a 3D method of characteristics (MOC) to the common geometry module. It could calculate the flux throughout three-dimensional systems by the MOC, which has been proved a very flexible and effective method for the neutron transport calculation in a complex geometry. In this code, a modular ray tracing technique is adopted to reduce the amount of the ray tracing data and the Coarse Mesh Finite Difference (CMFD) acceleration method is employed to save computing time, which could well solve the difficulties when applying MOC in three-dimensional geometries. The SPN code is another three-dimensional Boltzmann transport equation calculation code. The simplified PN method is used to treat the directional variable, and the Nodal method treats the spatial variable. Consequently, this code has an advantage in shorting computing time when applied to big geometry problems. Considering the big geometry of DFII-TBM and the large number of the cross sections of nuclear data library FENDI/MG-2.1, a two-step approach is adopted. Firstly, the DFII-TBM is dissected into some typical independent parts. 3D calculations are performed on these parts respectively with 3D MOC code and FENDL/MG-2.1 library to obtain the detailed heterogeneous flux distribution. Then the homogenization is carried out to calculate the average homogeneous cross sections, followed by the use of homogeneous cross sections to calculate the flux distribution throughout the DFII-TBM with SPN code. The results obtained are herewith presented and critically discussed.
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Smith, K., R. Steele, and J. Rogers. "Variable Geometry Fuel Injector for Low Emissions Gas Turbines." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-269.
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To extend the stable operating range of a lean premixed combustion system, variable geometry can be used to adjust the combustor air flow distribution as gas turbine operating conditions vary. This paper describes the design and preliminary testing of a lean premixed fuel injector that provides the variable geometry function. Test results from both rig and engine evaluations using natural gas are presented. The variable geometry injector has proven successful in the short-term testing conducted to date. Longer term field tests are planned to demonstrate durability.
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Malviya, Manoj, Swapnil Sinha, and Nicholas A. Meisel. "Digital Design Automation to Support In-Situ Embedding of Functional Components in Additive Manufacturing." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-97607.
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Abstract Additive manufacturing (AM) offers access to the entire volume of a printed artifact during the build operation. This makes it possible to embedding foreign components (e.g. sensors, motors, actuators) into AM parts, thus enabling multifunctional products directly from the build tray. However, the process of designing for embedding currently requires extensive designer expertise in AM. Current methods rely on a designer to select an orientation for the embedded component and design a cavity such that the component can be successfully embedded without compromising the print quality of the final part. For irregular geometries, additional design knowledge is required to prepare a shape converter: a secondary piece to ensure a flush deposition surface on top of the embedded component. This research aims to develop a tool to automate these different design decisions for in-situ embedding, thus reducing the need for expert design knowledge. A three-stage process is proposed to 1) find the optimum orientation based on cavity volume and cross-section area, 2) create the necessary cavity geometry to successfully insert the component, and 3) perform a Boolean operation to create the digital design for any requisite shape converter. Performance of the tool is demonstrated with four test cases with varying levels of geometric complexity. These test cases show that the proposed process successfully handles arbitrary embedded geometries, though several limitations are noted for future work.
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Garbatov, Y., S. Rudan, and C. Guedes Soares. "Assessment of Geometry Correction Functions of Tanker Knuckle Details Based on Fatigue Tests and Finite Element Analysis." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28422.
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The paper analyses the fatigue crack growth of knuckle detail typical of tankers. An approach for evaluation of the fatigue life based on fracture mechanics is presented, where a Paris-Erdogan crack-growth law is applied. A geometry correction function is determined from fatigue test data. A closed-form equation is proposed for fatigue life estimation. The results obtained from a fatigue test and the calculated fatigue lives are compared.
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Huang, Wei, Yan Liu, and Jon Preston-Thomas. "Multiple Regression Analysis of the Impact of Track Geometry on Wheel-Rail Forces." In 2012 Joint Rail Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/jrc2012-74120.
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One of the fundamental keys to improving track safety standards is to establish a strong correlation between track geometry variations and wheel-rail force parameters that are indicators of vehicle-track safety performance. In this study, wheel-rail forces were collected during field tests of a loaded lumber car and an empty tank car. Computer models of the two tested freight cars were built, and the models were calibrated using field test results. The computer models were then used to evaluate the impact of varying track geometry parameters on track safety using the maximum single wheel L/V ratio, maximum truck side L/V ratio, and minimum vertical wheel load ratio. It was confirmed again that the correlations between these force parameters and any individual geometry parameter were weak. With further investigation, it was found that much better correlation can be achieved using multiple regression techniques to define each wheel-rail force parameter as a function of all track geometry parameters combined together. Expressions of the maximum truck side L/V ratio, maximum single wheel L/V ratio, and minimum vertical wheel load ratio were obtained as functions of curvature, cross level, alignment, gauge, and cant deficiency using multiple regression analysis.
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Li, H. L., X. Wang, and R. Bell. "Determination of Weight Functions for Cracks Under Mode-II Loading." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92107.
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For cracks under mode-I loading, it has been demonstrated that a general weight function expression with three unknown parameters can be used to approximate a variety of crack configurations under mode-I loading. For a given crack geometry, the unknown parameters can be determined from reference stress intensity factors (SIFs) together with characteristic properties of the weight functions. It is demonstrated in this paper that a general weight function expression also exists for cracks under mode II loading. The determination of weight functions for cracks in mode II can then also be conducted using reference stress intensity factors (SIFs) together with characteristic properties of the weight functions. This method is used to obtain the mode II weight functions for test specimens including single edge cracked plate, internal center cracked plate and double edge cracked plate. These derived weight functions were further used to calculate the SIFs for the above cracks subjected to several linear and non-linear shear loads and were compared to available SIF solutions.
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Busam, Stefan, Axel Glahn, and Sigmar Wittig. "Internal Bearing Chamber Wall Heat Transfer as a Function of Operating Conditions and Chamber Geometry." In ASME 1999 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/99-gt-249.
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Increasing efficiencies of modern aero-engines are accompanied by rising turbine inlet temperatures, pressure levels and rotational speeds. These operating conditions require a detailed knowledge of two-phase flow phenomena in secondary air and lubrication oil systems in order to predict correctly the heat transfer to the oil. It has been found in earlier investigations that especially at high rotational speeds the heat transfer rate within the bearing chambers is significantly increased with negative effects on the heat to oil management. Furthermore, operating conditions are reached where oil coking and oil fires are more likely to occur. Therefore, besides heat sources like bearing friction and churning, the heat transfer along the housing wall has to be considered in order to meet safety and reliability criteria. Based on our recent publications as well as new measurements of local and mean heat transfer coefficients, which were obtained at our test facility for engine relevant operating conditions, an equation for the internal bearing chamber wall heat transfer is proposed. Nusselt numbers are expressed as a function of non-dimensional parameter groups covering influences of chamber geometry, flow rates and shaft speed.
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Cai, Yun, Xingjie Peng, Qing Li, Kan Wang, Wei Sun, and Zhaohu Gong. "A Three-Dimensional Flux Expansion Nodal Method for Hexagonal Geometry Application." In 2016 24th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/icone24-61135.
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In this paper, a new flux expansion nodal method for hexagonal-z geometry is presented to solve multi-group neutron diffusion equations. In each three dimensional node and each group, the intra-nodal flux is approximated by the linear combination of exponential functions and orthogonal polynomials up to the second order. The coefficients are obtained by the weighted residual methods and the coupling conditions of the nodes, which satisfy the continuity of both the zero- and first-order moments of fluxes and currents across the nodal surfaces. A series of benchmark problems including the three dimensional cases are used to test this method. The numerical results verify that it is a rather accurate and efficient for the estimation of the eigenvalue and power distribution.
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Tena, Ana F., Pere Casan, Raúl Barrio, Alberto Marcos, and Jorge Parrondo. "A Methodology for Geometry Generation of the Lower Conductive Zone of the Lung Airways and Simulation by Intermediate Boundary Conditions." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72419.
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This paper presents a general methodology for the development and simulation of a human lung between scales 0–16. The methodology is based on the simulation of only one of the two possible branches at each bronchiole. The operation of the truncated branches is included by means of a user-defined function. This function prescribes the velocity profile calculated for the active branches in the truncated ones in order to make the hydraulic losses equal between them. This procedure was tested between 0 and 7th generation by imposing the time profile of a real forced spirometry test in the trachea as boundary condition. The test showed a very good agreement between the numerical predictions and the spirometry data.
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Ramesh Sagar, Vaishak, Samuel Lorin, Johan Göhl, Johannes Quist, Christoffer Cromvik, Andreas Mark, Klas Jareteg, Fredrik Edelvik, Kristina Wärmefjord, and Rikard Söderberg. "Investigating the Sensitivity of Particle Size Distribution on Part Geometry in Additive Manufacturing." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23816.
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Abstract Selective laser melting process is a powder bed fusion additive manufacturing process that finds applications in aerospace and medical industries for its ability to produce complex geometry parts. As the raw material used is in powder form, particle size distribution (PSD) is a significant characteristic that influences the build quality in turn affecting the functionality and aesthetics aspects of the end product. This paper investigates the effect of PSD on deformation for 316L stainless steel powder, where three coupled in-house simulation tools based on Discrete Element Method (DEM), Computational Fluid Dynamics (CFD), and Structural Mechanics are employed. DEM is used for simulating the powder distribution based on the different particle size distribution of the powder. The CFD is used as a virtual test bed to determine thermal parameters such as density, heat capacity and thermal conductivity of the powder bed viewed as a continuum. The values found as a stochastic function of the powder distribution is used to test the sensitivity of the melted zone and distortion using Structural Mechanics. Results showed significant influence of particle size distribution on the packing density, surface height, surface roughness, the stress state and displacement of the melted zone. The results will serve as a catalyst in developing geometry assurance strategies to minimize the effect of particle size distribution on the geometric quality of the printed part.
Reports on the topic "Functional text geometry"
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Lee, Jusang, John E. Haddock, Dario D. Batioja Alvarez, and Reyhaneh Rahbar Rastegar. Quality Control and Quality Assurance of Asphalt Mixtures Using Laboratory Rutting and Cracking Tests. Purdue University, 2019. http://dx.doi.org/10.5703/1288284317087.
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The main objectives of this project were to review the available balanced-mix design (BMD) methodologies, understand the I-FIT and Hamburg Wheel Tracking Test (HWTT) test methods using INDOT asphalt mixtures, and to explore the application of these tests to both a BMD approach and as performance-related Quality Control (QC) and Quality Acceptance (QA) methods. Two QA mixture specimen types, plant-mixed laboratory-compacted (PMLC) and plant-mixed field-compacted (PMFC) were used in the determination of cracking and rutting parameters. Distribution functions for the flexibility index (FI) values and rutting parameters were determined for various mixture types. The effects of specimen geometry and air voids contents on the calculated Flexibility Index (FI) and rutting parameters were investigated. The fatigue characteristics of selected asphalt mixtures were determined using the S-VECD test according to different FI levels for different conditions. A typical full-depth pavement section was implemented in FlexPAVE to explore the cracking characteristics of INDOT asphalt mixtures by investigating the relationship between the FI values of QA samples with the FlexPAVE pavement performance predictions. The FI values obtained from PMFC specimens were consistently higher than their corresponding PMLC specimens. This study also found that FI values were affected significantly by variations in specimen thickness and air voids contents, having higher FI values with higher air voids contents and thinner specimens. These observations do not agree with the general material-performance expectations that better cracking resistance is achieved with lower air voids content and thicker layers. Additionally, PG 70-22 mixtures show the lowest mean FI values followed by the PG 76-22 and 64-22 mixtures. The same order was observed from the ΔTc (asphalt binder cracking index) of INDOT’s 2017 and 2018 projects. Finally, it was found that the HWTT showed reasonable sensitivity to the different characteristics (e.g., aggregate sizes, binder types, and air voids contents) of asphalt mixtures. Mixtures containing modified asphalt binders showed better rut resistance and higher Rutting Resistance Index (RRI) than those containing unmodified binders.