Academic literature on the topic 'Isometric form'

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Journal articles on the topic "Isometric form"

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Mahmoud, Sid, Muneo ChO, and Ji Lee. "(m,q)-isometric and (m,∞)-isometric tuples of commutative mappings on a metric space." Filomat 34, no. 7 (2020): 2425–37. http://dx.doi.org/10.2298/fil2007425m.

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In this paper, we introduce new concepts of (m,q)-isometries and (m,?)-isometries tuples of commutative mappings on metrics spaces. We discuss the most interesting results concerning this class of mappings obtained form the idea of generalizing the (m,q)-isometries and (m,?)-isometries for single mappings. In particular, we prove that if T = (T1,..., Tn) is an (m,q)-isometric commutative and power bounded tuple, then T is a (1,q)-isometric tuple. Moreover, we show that if T = (T1,...,Td) is an (m,?)- isometric commutative tuple of mappings on a metric space (E,d), then there exists a metric d? on E such that T is a (1,?)-isometric tuple on (E,d?).
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Koldobsky, Alexander. "Isometric Stability Property of Certain Banach Spaces." Canadian Mathematical Bulletin 38, no. 1 (1995): 93–97. http://dx.doi.org/10.4153/cmb-1995-012-9.

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AbstractLet E be one of the spaces C(K) and L1, F be an arbitrary Banach space, p > 1, and (X, σ) be a space with a finite measure. We prove that E is isometric to a subspace of the Lebesgue-Bochner space LP(X; F) only if E is isometric to a subspace of F. Moreover, every isometry T from E into Lp(X; F) has the form Te(x) = h(x)U(x)e, e ∊ E, where h: X —> R is a measurable function and, for every x ∊ X, U(x) is an isometry from E to F
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CHEN, B. Y., F. DILLEN, L. VERSTRAELEN, and L. VRANCKEN. "Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form M˜n(4c)." Mathematical Proceedings of the Cambridge Philosophical Society 124, no. 1 (1998): 107–25. http://dx.doi.org/10.1017/s030500419700217x.

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It is well known that totally geodesic Lagrangian submanifolds of a complex-space-form M˜n(4c) of constant holomorphic sectional curvature 4c are real-space-forms of constant sectional curvature c. In this paper we investigate and determine non-totally geodesic Lagrangian isometric immersions of real-space-forms of constant sectional curvature c into a complex-space-form M˜n(4c). In order to do so, associated with each twisted product decomposition of a real-space-form of the form f1I1×… ×fkIk×1Nn−k(c), we introduce a canonical 1-form, called the twistor form of the twisted product decomposition. Roughly speaking, our main result says that if the twistor form of such a twisted product decomposition of a simply-connected real-space-form of constant sectional curvature c is twisted closed, then it admits a ‘unique’ adapted Lagrangian isometric immersion into a complex-space-form M˜n(4c). Conversely, if L: Mn(c)→ M˜n(4c) is a non-totally geodesic Lagrangian isometric immersion of a real-space-form Mn(c) of constant sectional curvature c into a complex-space-form M˜n(4c), then Mn(c) admits an appropriate twisted product decomposition with twisted closed twistor form and, moreover, the Lagrangian immersion L is given by the corresponding adapted Lagrangian isometric immersion of the twisted product. In this paper we also provide explicit constructions of adapted Lagrangian isometric immersions of some natural twisted product decompositions of real-space-forms.
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OH, YUN MYUNG. "Explicit construction of Lagrangian isometric immersion of a real-space-form Mn(c) into a complex-space-form M˜n(4c)." Mathematical Proceedings of the Cambridge Philosophical Society 132, no. 3 (2002): 481–508. http://dx.doi.org/10.1017/s0305004101005783.

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In [4], it is proved that there exists a ‘unique’ adapted Lagrangian isometric immersion of a real-space-form Mn(c) of constant sectional curvature c into a complex-space-form M˜n(4c) of constant sectional curvature 4c associated with each twisted product decomposition of a real-space-form if its twistor form is twisted closed. Conversely, if L: Mn(c) → M˜n(4c) is a non-totally geodesic Lagrangian isometric immersion of a real-space-form Mn(c) into a complex-space-form M˜n(4c), then Mn(c) admits an appropriate twisted product decomposition with twisted closed twistor form and, moreover, the immersion L is determined by the corresponding adapted Lagrangian isometric immersion of the twisted product decomposition. It is natural to ask the explicit expressions of adapted Lagrangian isometric immersions of twisted product decompositions of real-space-forms Mn(c) into complex-space-forms M˜n(4c) for each case: c = 0, c > 0 and c < 0.
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Arad, Nur, and Gershon Elber. "Isometric Texture Mapping for Free-form Surfaces." Computer Graphics Forum 16, no. 5 (1997): 247–56. http://dx.doi.org/10.1111/1467-8659.00192.

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Hamad, Safa L., and Zeana Z. Jamil. "The Completion of Generalized 2-Inner Product Spaces." Ibn AL-Haitham Journal For Pure and Applied Sciences 36, no. 1 (2023): 311–17. http://dx.doi.org/10.30526/36.1.2952.

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A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form which “is the set of all b-Cauchy sequences equivalence classes”. After that, we prove to be a 2-normed space. Then, we construct an isometric by defining the function from to ; thus and are isometric, where is the subset of composed of the equivalence classes that contains constant b-Cauchy sequences. Finally, we prove that is dense in , is complete and the uniqueness of is up to isometrics
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Arbin, Norazman, Wan Muhammad Azamuddin Wan Azlan, and Norsyazana Kamarudin. "Development of ‘The Isometric Trio’ Kit of Form Two Translations Topic." Journal of Science and Mathematics Letters 10, no. 1 (2022): 22–31. http://dx.doi.org/10.37134/jsml.vol10.1.3.2022.

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This study aims to develop and obtain the validity and usability of The Isometric Trio Kit, a teaching aid (BBM) in teaching and facilitation (PdPc) for the Form Two Translation topic. The design of this study is referred to as the Design and Development Research (DDR). It only involves the first two phases, namely the Analysis Phase and the Design and Development Phase which apply to the use of the ADDIE model. The kit’s validation process is performed by five experts, namely four Mathematics lecturers in a public university and one mathematics teacher in a secondary school to evaluate the kit. Next, using the simple random sampling, 30 trainee mathematics teachers from Universiti Pendidikan Sultan Idris (UPSI) were chosen to determine the usability of the kit by completing the kit’s usability questionnaires. Feedback from experts was analyzed using the Content Validity Index (CVI), while the usability of the kit was determined through the mean score value. The analysis results showed that the CVI value for the RPH content validity, the face and kit content validity were 1.00, which is satisfactory. The analysis results also show that the developed kit has a high level of usability with a mean score of 3.71. As a conclusion, the RPH and the kit are feasible and can be referenced and used to meet the learning standards and align with the Form Two Translation topic. This study provides new ideas, guidance, and information to teachers, particularly mathematics teachers in order for them to use the teaching aid in the classroom.
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Tomin, N. G. "Analytic form of isometric operators in weighted Hilbert spaces." Russian Mathematical Surveys 49, no. 2 (1994): 182–83. http://dx.doi.org/10.1070/rm1994v049n02abeh002232.

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Vlachos, Theodoros. "Isometric deformations of surfaces preserving the third fundamental form." Annali di Matematica Pura ed Applicata 187, no. 1 (2007): 137–55. http://dx.doi.org/10.1007/s10231-006-0038-6.

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Popovici, Dan. "On the Structure of Coisometric Extensions." Axioms 12, no. 2 (2023): 202. http://dx.doi.org/10.3390/axioms12020202.

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If T is a bounded linear operator on a Hilbert space H and V is a given linear isometry on a Hilbert space K, we present necessary and sufficient conditions on T in order to ensure the existence of a linear isometry π:H→K such that πT=V*π (i.e., (π,V*) extends T). We parametrize the set of all solutions π of this equation. We show, for example, that for a given unitary operator U on a Hilbert space E and for the multiplication operator by the independent variable Mz on the Hardy space HD2(D), there exists an isometric operator π:H→E⊕HD2(D) such that (π,(U⊕Mz)*) extends T if and only if T is a contraction, the defect index δT≤dimD and, for some Y:AT→E, (Y,U*) extends the isometric operator AT1/2h↦AT1/2Th on the space AT=ATH¯, where AT is the asymptotic limit associated with T. We also prove that if T is isometric and V is unitary, there exists an isometric operator π:H→K such that (π,V) extends T if and only if (a) the spectral measures of the unitary part of T (in its Wold decomposition) and the restriction of V to one of its reducing subspaces K0 possess identical multiplicity functions and (b) dim(kerT*)=dim(K1⊖VK1) for a certain subspace K1 of K that contains K0 and is invariant under V. The precise form of π, in each situation, and characterizations of the minimality conditions are also included. Several examples are given for illustrative purposes.
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Dissertations / Theses on the topic "Isometric form"

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Gonçalves, Ana Clara Campagnolo Real [UNESP]. "Exercício resistido em cardiopatas: revisão sistemática da literatura e análise do comportamento autonômico em recuperação pós-exercício resistido aplicado de forma aguda." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/87292.

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Made available in DSpace on 2014-06-11T19:22:48Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-12-10Bitstream added on 2014-06-13T19:47:20Z : No. of bitstreams: 1 goncalves_accr_me_prud.pdf: 684147 bytes, checksum: a81c4f89900e68d55d13d636f49523a1 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>A perda de massa muscular secundária à idade e à inatividade física é clinicamente relevante na população cardíaca, contudo a prescrição do exercício resistido dinâmico para esses pacientes apresenta-se inconclusiva na literatura. Objetivo: Reunir informações sobre a especificidade dos componentes do treinamento resistido prescrito à população cardiopata. Metodologia: Foi realizada busca sistemática de literatura, a partir das bases de dados LILACS, SciELO e PubMed, utilizando os seguintes descritores na língua portuguesa: força muscular, exercício isométrico, esforço físico, cardiopatia e coronariopatia, e seus correspondentes na língua inglesa (muscle strength, isometric exercise, physical effort, heart disease e artery coronary disease), os quais foram...<br>Loss of muscle mass secondary to age and physical inactivity is clinically relevant in cardiac population, however dynamic resistance exercise prescription to these patients presents inconclusive in literature. Objective: Adjoin information about specific components of resistance exercise prescribed to cardiac population. Methodology: Systematic search was performed, using the data bases LILACS, SciELO and PubMed. The descriptors used were: muscle strength, isometric exercise, physical effort, heart disease and artery coronary disease, which were surveyed separately and combined, considering for this review articles that ... (Complete abstract click electronic access below)
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Al-Mulla, M. R. "Automated non-invasive techniques for prediction and detection of localised muscle fatigue during isometric and non-isometric contractions." Thesis, University of Essex, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.537920.

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Benson, Amanda Clare. "The effect of resistance training for cardiac patients on activities of daily living /." View online, 1996. http://repository.eiu.edu/theses/docs/32211998837419.pdf.

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Burghard, Oliver [Verfasser]. "Calculating Sparse and Dense Correspondences for Near-Isometric Shapes / Oliver Burghard." Bonn : Universitäts- und Landesbibliothek Bonn, 2018. http://d-nb.info/1161462333/34.

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Wang, Jia. "Isometric versus Elastic Surfboard Interfaces for 3D Travel in Virtual Reality." Digital WPI, 2011. https://digitalcommons.wpi.edu/etd-theses/874.

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" Three dimensional travel in immersive virtual environments (IVE) has been a difficult problem since the beginning of virtual reality (VR), basically due to the difficulty of designing an intuitive, efficient, and precise three degrees of freedom (DOF) interface which can map the user's finite local movements in the real world to a potentially infinite virtual space. Inspired by the Silver Surfer Sci-Fi movie and the popularity of the Nintendo Wii Balance Board interface, a surfboard interface appears to be a good solution to this problem. Based on this idea, I designed and developed a VR Silver Surfer system which allows a user to surf in the sky of an infinite virtual environment, using either an isometric balance board or an elastic tilt board. Although the balance board is the industrial standard of board interface, the tilt board seems to provide the user more intuitive, realistic and enjoyable experiences, without any sacrifice of efficiency or precision. To validate this hypothesis we designed and conducted a user study that compared the two board interfaces in three independent experiments that break the travel procedure into separate DOFs. The results showed that in all experiments, the tilt board was not only as efficient and precise as the balance board, but also more intuitive, realistic and fun. In addition, despite the popularity of the balance board in the game industry, most subjects in the study preferred the tilt board in general, and in fact complained that the balance board could have been the cause of possible motion sickness. "
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Liu, Junshi, Caleb D. Bazyler, Christopher B. Taber, Tony Pustina, and Satoshi Mizuguchi. "Application of Principal Components Analysis in Kinetics Study for Isometric Squat." Digital Commons @ East Tennessee State University, 2015. https://dc.etsu.edu/etsu-works/3839.

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Williams, Duane A., Courtney D. Hall, Patsy Cantor, et al. "Reliability of Two Alternative Methods for the Standard Mid-thigh Isometric Pull." Digital Commons @ East Tennessee State University, 2014. https://dc.etsu.edu/etsu-works/573.

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The purpose of this study was to determine the reliability of two new alternative portable methods for measuring maximal isometric force measures while performing the standard mid-thigh pull. One method, the bar grip method, required the use of the trunk and upper extremity muscles, while the second method, the pelvic belt method, did not. Both methods demonstrated good test-retest reliability via randomized repeated measures over 24-36 hours. Interestingly, the pelvic belt method generally demonstrated average maximal forces up to 65% higher than the bar method. There was a good relationship between both methods. These new alternative methods could provide strength coaches an option for a more efficient, cost-effective, portable means for the mid-thigh pull test.
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Kullander, Christoffer. "Corticospinal mechanisms for muscle activation in resistance-trained and non-trained males : A cross-sectional study." Thesis, Gymnastik- och idrottshögskolan, GIH, Institutionen för idrotts- och hälsovetenskap, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:gih:diva-3830.

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Aim The purpose of this study was to compare resistance-trained (RT) and non-trained (NT) males regarding mechanisms for neural activation during isometric muscle contractions of the soleus muscle. Further the plantar flexor strength of the two groups were compared. Method Ten males that had been resistance training for at least 3 years (RT) and 10 who did not train regularly (NT) participated in the study. The participants performed isometric contractions of their right plantar flexors against an isokinetic dynamometer at 15, 25, 50, 80 and 100% of maximal voluntary contraction. Five contractions were performed for each level in two different conditions; one where the participants were stimulated using transcranial magnetic stimulation over the left motor cortex and one in which they were stimulated electrically over the tibial nerve. Stimulations were also delivered at rest. The resulting soleus muscle motor evoked potentials (MEPs) and V-waves were normalized to a maximal M-wave (Mmax). Plantar flexor strength was measured and voluntary activation estimated using the twitch interpolation technique. Results No significant difference was found between the RT and the NT group for voluntary activation, V/Mmax ratio or MEP/Mmax at any level of maximal voluntary contraction (MVC). The RT group was significantly stronger than the NT group. Conclusions The study showed that the RT group was stronger than the NT group. Despite the difference in strength there was no significant group difference between the two groups in MEPs, V/Mmax or voluntary activation. This indicates that there is no, or a very small difference in corticospinal excitability of the soleus muscle between the chronic RT males and the NT males.
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Smith, J. "The role of haemodynamic stimulus in isometric exercise training : implications for cardiovascular adaptations." Thesis, Canterbury Christ Church University, 2014. http://create.canterbury.ac.uk/13758/.

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The purpose of this thesis was to explore the role of exercise induced blood flow haemodynamics in the cardiovascular adaptations associated with isometric exercise training, with focus on resting blood pressure adjustment in normotensive participants. Using a cross-sectional study, it was identified that significant relationships were present between (i) blood flow, (ii) shear stress, and (iii) shear pattern responses (measured in the femoral artery), during and immediately following isometric bilateral leg extension exercise of increasing intensity. Based on these findings, it was feasible to suggest that the haemodynamic response to high intensities of acute isometric exercise might provide a physiological challenge to the cardiovascular system, that upon repeated exposure via isometric exercise training, may induce cardiovascular adaptation and resting blood pressure reductions. Subsequent to this, a randomised controlled trial established that performing isometric exercise training to a ‘high haemodynamic stimulus’ did not induce significantly greater adaptation in resting blood pressure than when performing isometric exercise training to a ‘low haemodynamic stimulus’ or control. When the training group (high and low combined) were compared to the control, significant reductions in resting blood pressure were observed. Furthermore, non-invasive cardiovascular variables that were considered as possible physiological mechanisms for resting blood pressure adaptation following isometric exercise training did not correlate with within group resting blood pressure changes. Whilst these findings suggest that a haemodynamic challenge may not be the primary stimulus responsible for inducing resting blood pressure adaptation following isometric exercise training, these results do demonstrate the effectiveness of isometric exercise training for potential health gains via reductions in resting blood pressure in normotensives. Importantly, these findings have progressed the current understanding surrounding isometric exercise training induced resting blood pressure reductions and will allow future research to narrow their focus upon other physiological variables that may be the stimuli for blood pressure adaptation.
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Ruengrot, Pornrat. "Perfect isometry groups for blocks of finite groups." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/perfect-isometry-groups-for-blocks-of-finite-groups(092f1a9a-1583-4e8e-b285-a77c49e48765).html.

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Our aim is to investigate perfect isometry groups, which are invariants for blocks of finite groups. There are two subgoals. First is to study some properties of perfect isometry groups in general. We found that every perfect isometry has essentially a unique sign. This allowed us to show that, in many cases, a perfect isometry group contains a direct factor generated by -id. The second subgoal is to calculate perfect isometry groups for various blocks. Notable results include the perfect isometry groups for blocks with defect 1, abelian p-groups, extra special p-groups, and the principal 2-block of the Suzuki group Sz(q). In the case of blocks with defect 1, we also showed that every perfect isometry can be induced by a derived equivalence. With the help of a computer, we also calculated perfect isometry groups for some blocks of sporadic simple groups.Apart from perfect isometries, we also investigated self-isotypies in the special case where C_G(x) is a p-group whenever x is a p-element. We applied our result to calculate isotypies in cyclic p-groups and the principal 2-blocks of the Suzuki group Sz(q).
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Books on the topic "Isometric form"

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Malcolm, Lorna Lee. Cuerpo sano y en forma. Blume, 1997.

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McCrum, Catherine. Cuerpo sano y en forma. Blume, 1997.

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Bender, Mark. Cuerpo sano y en forma. Blume, 1997.

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Kraemer, William J. Strength training for young athletes. 2nd ed. Human Kinetics, 2005.

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1951-, Fleck Steven J., ed. Strength training for young athletes. Human Kinetics Publishers, 1993.

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Sipilä, Sarianna. Physical training and skeletal muscle in elderly women: A study of muscle mass, composition, fiber characteristics and isometric strength. University of Jyväskylä, 1996.

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The effects of various forms of stabilization on the rectus abdominis during isometric knee extension. 1986.

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M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Quadratic Forms over a ∈ Local Field. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0007.

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This chapter presents various results about quadratic forms over a field complete with respect to a discrete valuation. The discussion is based on the assumption that K is a field of arbitrary characteristic which is complete with respect to a discrete valuation ν‎ and uses the usual convention that ν‎(0) = infinity. The chapter starts with a notation regarding the ring of integers of K and the natural map from it to the residue field, followed by a number of propositions regarding an anisotropic quadratic space. These include an anisotropic quadratic space with residual quadratic spaces, an unramified quadratic space of finite dimension, unramified finite-dimensional anisotropic quadratic forms over K, unramified anisotropic quadratic forms and a bilinear form, and a round quadratic space over K. The chapter concludes with a theorem that there exists an anisotropic quadratic form over K, unique up to isometry, and is non-singular.
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The effect of a 12-week resistive training program in the home using the Body Bar on dynamic and absolute strength in middle-age women. 1992.

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The effect of a 12-week resistive training program in the home using the Body Bar on dynamic and absolute strength in middle-age women. 1992.

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Book chapters on the topic "Isometric form"

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Carman, Christopher. "Isometric Perspective." In Visual Design Concepts for Mobile Games. A K Peters/CRC Press, 2018. http://dx.doi.org/10.1201/9781315751382-1.

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Carlson, Philip. "Isometries." In Solutions Manual for Geometry: A High School Course. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0861-7_12.

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Carmo, Manfredo P. do, and Elon Lima. "Isometric immersions with semi-definite second quadratic forms." In Manfredo P. do Carmo – Selected Papers. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25588-5_4.

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Carman, Christopher. "Isometric Game Board Project Introduction." In Visual Design Concepts for Mobile Games. A K Peters/CRC Press, 2018. http://dx.doi.org/10.1201/9781315751382-3.

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Hotz, Ingrid, and Hans Hagen. "Isometric Embedding for a Discrete Metric." In Geometric Modeling for Scientific Visualization. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07443-5_2.

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Guihéneuf, Pierre-Antoine. "Discretizations of Isometries." In Discrete Geometry for Computer Imagery. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32360-2_6.

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Aschbacher, Michael. "Some Multilinear Forms with Large Isometry Groups." In Geometries and Groups. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-4017-8_15.

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Orsenigo, Carlotta, and Carlo Vercellis. "Landmark Selection for Isometric Feature Mapping Based on Mixed-Integer Optimization." In Modeling Decisions for Artificial Intelligence. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-41550-0_23.

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Papadopoulos, Nikolaos A., and Florian Scheck. "Positive Operators–Isometries–Real Inner Product Spaces." In Linear Algebra for Physics. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-64908-0_11.

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Escamilla-Galindo, Victor, Gerard Brunsó, Raquel Barceló i Lopez, Marc Madruga-Parera, and Ismael Fernández-Cuevas. "Relationship Between Thermography Assessment and Hamstring Isometric Test in Amateur Soccer Players." In Artificial Intelligence Over Infrared Images for Medical Applications (AIIIMA 2023). Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-44511-8_8.

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Conference papers on the topic "Isometric form"

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Jones, Michael, and Miles Barnett. "Analysis of Rotorcraft Pilot Couplings During Active Inceptor Failures." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0074-2018-12784.

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The use of active inceptor systems allows for control of the aircraft even during mechanical failures within the control inceptor. For the specific case of isometric failure, whereby the inceptor 'freezes' in position, a virtual force displacement model is used to continue to provide control input. Testing on DLR's experimental helicopter (ACT/FHS) has shown the potential to encounter pilot-induced oscillation (PIO) tendencies when flying using this mode. This paper presents results from a simulation campaign undertaken to determine whether PIOs could be exposed through this use of control and/or the resultant severity. The results show that control limiters cause severe PIOs during the isometric failure. Unacceptable failure characteristics were found for six different vehicle configurations and PIOs were exposed by all four pilots. PIO incipience was predicted through the use of offline tools. In future, it is recommended that specific PIO investigations are undertaken during the evaluation of active inceptor failure modes.
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Pasternak, Viktoriya, Artem Ruban, Oleksandr Chernenko, and Olena Nadon. "Use of the Boundary Element Method for Solving Problems of Predicting the Regularities of Formation of the Structure of Non-Isometric Components." In International Scientific Applied Conference "Problems of Emergency Situations". Trans Tech Publications Ltd, 2024. http://dx.doi.org/10.4028/p-xm5pzl.

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In this paper, the boundary element method (BEM) is investigated and computer simulations are conducted to study the patterns of structure formation of non-isometric elements. The modeling of this study covered various aspects, including shape, radius, angle from the stable radius, porosity, average coordination number, simulation time, component falling force, and electrostatic constant. The simulation results provided important information about the properties and interaction of non-isometric components under different conditions. It was found that the obtained parameters can be effectively predicted for further research. It should also be noted that important processes, such as deformation and material behavior, colloidal aspects, dynamic modeling of the movement of components with complex shapes, and features of nanotechnology, were observed in parallel with computer simulation.
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Bastian, Lennart, Yizheng Xie, Nassir Navab, and Zorah Lähner. "Hybrid Functional Maps for Crease-Aware Non-Isometric Shape Matching." In 2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR). IEEE, 2024. http://dx.doi.org/10.1109/cvpr52733.2024.00319.

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Buhrow, R. P. "The Personal Computer for Corrosion Monitoring of Process Equipment." In CORROSION 1986. NACE International, 1986. https://doi.org/10.5006/c1986-86067.

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Abstract A computer analysis program used by seven companies for monitoring process equipment corrosion has been thoroughly redeveloped, enhanced, and converted to the personal computer. The new program not only provides an extremely efficient schedule for monitoring inspection points, but offers mouse-generated piping isometrics, corrosion study graphics, and action-oriented analysis results.
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Wells, Sarah M., Wendy A. Naimark, and J. Michael Lee. "Thermomechanical Characterization of Collagen Crosslinking in Developing Cardiovascular Tissues." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0392.

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Abstract We have used hydrothermal isometric tension (HIT) tests to assess developmental changes in collagen crosslinking in the ovine thoracic aorta and pericardium. Tissue strips were loaded under isometric tension and heated to 90°C for 3 hrs. Load relaxation at this temperature is associated with collagen hydrolysis and chain slip-page, the half-time of load decay (t1/2) being an indicator of collagen crosslinking. t1/2 was computed before and after tissues were treated with NaBH4 which stabilizes immature crosslinks. The t1/2 of untreated tissue increased from the lamb to the adult, indicating that collagen crosslinking increased postnatally. Furthermore, the t1/2 of NaBH4-treated lamb tissue (3d pericardium and 21d aorta) was similar to that of untreated adult tissue, suggesting that much immature crosslinking in the lamb is stabilized postnatally. These observations suggest (i) increased crosslinking occurs postnatally, (ii) this increase is largely due to the conversion of immature crosslinks into their mature, heat stable form (Naimark et al., 1998, Wells et al., 1999).
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Chen, Qiuyi, and Mark D. Fuge. "Characterizing Designs via Isometric Embeddings: Applications to Airfoil Inverse Design." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-116743.

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Abstract Many data analysis and design problems involve reasoning about points in high-dimensional space. A common strategy is to embed points from this high-dimensional space into a low-dimensional one. As we will show in this paper, a critical property of good embeddings is that they preserve isometry — i.e., preserving the geodesic distance between points on the original data manifold within their embedded locations in the latent space. However, enforcing isometry is non-trivial for common Neural embedding models, such as autoencoders and generative models. Moreover, while theoretically appealing, it is not clear to what extent enforcing isometry is really necessary for a given design or analysis task. This paper answers these questions by constructing an isometric embedding via an isometric autoencoder, which we employ to analyze an inverse airfoil design problem. Specifically, the paper describes how to train an isometric autoencoder and demonstrates its usefulness compared to non-isometric autoencoders on both simple pedagogical examples and for airfoil embeddings using the UIUC airfoil dataset. Our ablation study illustrates that enforcing isometry is necessary to accurately discover latent space clusters — a common analysis method researchers typically perform on low-dimensional embeddings. We also show how isometric autoencoders can uncover pathologies in typical gradient-based Shape Optimization solvers through an analysis on the SU2-optimized airfoil dataset, wherein we find an over-reliance of the gradient solver on angle of attack. Overall, this paper motivates the use of isometry constraints in Neural embedding models, particularly in cases where researchers or designer intend to use distance-based analysis measures (such as clustering, k-Nearest Neighbors methods, etc.) to analyze designs within the latent space. While this work focuses on airfoil design as an illustrative example, it applies to any domain where analyzing isometric design or data embeddings would be useful.
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Puiu, Mihaela, Dragomir Andrei, and Radu Bidiugan. "USAGE OF VISUAL FEEDBACK TECHNOLOGIES FOR PERFORMANCE IMPROVEMENT OF MALE ARTISTIC GYMNASTICS." In eLSE 2018. Carol I National Defence University Publishing House, 2018. http://dx.doi.org/10.12753/2066-026x-18-189.

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The rules on how the rings exercises in male gymnastics are composed, rely on different body movements based on controlled alternation between the dynamic and isometric muscular contraction. The main factors that determine the accuracy of executions in male artistic gymnastics rings are the balance control, the quality of processes that coordinate muscle activity, and the level of relative muscle strength. Specific training involves muscle and joint efforts of maximum intensity. The objective of this study was to design a training methodology that would allow effort volume and intensity to be adjusted according to individual features, and in the same time, to be able to avoid maximum intensity demands. The methodology we proposed has been developed and applied in laboratory conditions, based on a Force Control System, in isometric contraction conditions, consisting of a hardware and a software component. This system ensures both controlled effort dosing and pausing between repetitions, as well as the subject’s performance in terms of force variations and training task viewing on a monitor, in real time, under a graphical representation. The system provides information on the athlete's execution in real time, with a precision of 1 ms, and displays the information to the athlete in a graphical form every 10 ms. The study has been conducted in Bio-motricity laboratory of the National Institute for Sport Science with the participation of six elite gymnasts. The progress gained by athletes after following the application of this methodology demonstrates the benefits of the use of the technology, allowing accurate measurement of the effort and providing real-time information on the quality of sports performance.
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"Perancangan Ballast Piping System Pada Kapal Ro-Ro Passanger 146 M." In Conference on Marine Engineering and its Application. Politeknik Perkapalan Negeri Surabaya, 2024. https://doi.org/10.33863/cmea.v6i1.2607.

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The way ballast system works in general is to fill the ballast tank located at double bottom with seawater taken from the sea chest. The sea water is sucked up by ballast pump through main pipeline and branch pipes. In addition there is a valve that functions as opening and closing of the flow, and the overboard as a drain which is above the ship's draft. On this ship, the function of a cargo ship is changed to a passenger ship. Because there was a change in the equipment in engine room, it required a re-design of the ballast system. The design of this system follows the recommendations from BKI 2022 Volume III of the Machinery Installation Regulations. The design of the ballast system piping uses a ring main type, in the form of PID design and isometric design. The total length of pipe is 241 meters with details of 165,6 meters for the main pipe and 75,4 meters for the branch pipe. Using the type of galvanized steel material with ASTM A795 standards. The nominal diameter used of this system is based on calculations, namely 250 mm for the main pipe and 90 mm for the branch pipe.
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Kastner, Jared, Amin Joodaky та James Gibert. "The Effectiveness of 2D Unit Cells in Creating χ-Spring Based Metamaterials". У ASME 2021 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/smasis2021-68326.

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Abstract Elastic metamaterials can be used in a variety of vibration and shock absorbing applications due to having mechanical properties that are not typically seen in nature. This work creates 2-dimensional metamaterial from a tessellation of unit cells composed of array Chi-springs. The Chi-springs exhibit a J shaped force displacement relationship or equivalently an effective stress strain relationship that is characterized by three regions: a linear stiffness/module, a quasi-zero stiffness/modulus region, and region of high tangent force/stress. The springs form the fundamental building block for a 2-dimensional unit cell and are created through a series of isometric transformations while meeting constraints on its effective constitutive behavior. The orientations of each unit cell are analyzed using Cayley diagrams, which are then used to determine various 2 × 2 tessellations of the structure. The resulting unit cells and their tessellations are manufactured through 3D printing. They exhibit a J shaped effective constitutive relationship in 2 material loading directions that resembles the force displacement relationship. Material testing indicates that the resulting structures are anisotropic. Furthermore, they have a dominant loading direction that displays larger values of linear modulus, plateau stress, and toughness. This work represents the first nascent steps toward the systematic design of metamaterial behavior in multiple load directions.
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Rosa, Gustavo Henrique de Mello, Guilherme Henrique Moretto, Kelly Zhang, and João Eduardo de Araujo. "Modification of palmar grip strength induced by overflow contralateral to hip contraction." In XIV Congresso Paulista de Neurologia. Zeppelini Editorial e Comunicação, 2023. http://dx.doi.org/10.5327/1516-3180.141s1.404.

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Introduction: Neurofunctional rehabilitation often employs various approaches to enhance recruitment and muscle strength through overflow, a phenomenon that amplifies the motor response of homologous muscles in the contralateral segment. overflow has been well documented in the literature, particularly in techniques like FNP and cross-education. The phenomenon of overflow is known to facilitate muscle activity in muscles that are not actively stimulated, resulting in unintentional contractions during a resisted isometric activity. Objectives: The objective of this study was to investigate the overflow mechanisms of non-homologous contralateral muscles of the lower limb during an instructed handgrip task. Methods: A total of 90 individuals, with a motor preference for their right upper limb (RUL), were divided into control (CG) and resisted isometry group (RIG) and underwent a protocol involving three maximal hand grip contractions with their RUL and LUL. In assessment 2, the CG performed the same protocol as baseline, while the RIG group performed three maximal isometric contractions of left hip flexion with three maximal contractions of hand flexion with their RUL. statistical analysis was conducted by a multiple comparison analysis of variance with P &lt; 0.05. Results: Observing the data from evaluation 1, both the CG and RIG showed a reduction in strength between the third and first attempt for both the left and right upper limbs (F = 1.07, F = 0.68, respectively). In evaluation 2, the decrease occurred only for the CG in both upper limbs (F = 0.15, F = 1.29, respectively). Conclusion: Our study revealed that maximal muscle strength was maintained in RIG individuals during assessment 2, indicating the existence of overflow when performing an isometric hip flexion task concomitantly with the palmar grip.
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Reports on the topic "Isometric form"

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Pfander, Goetz E., Holger Rauhut, and Joel A. Tropp. The Restricted Isometry Property for Time-Frequency Structured Random Matrices. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada563016.

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Nestleroth, Dr J. Bruce. PR-3-823-R01 Remote Field Eddy Current Detection of Stress-Corrosion Cracks. Pipeline Research Council International, Inc. (PRCI), 1990. http://dx.doi.org/10.55274/r0011870.

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The feasibility of detecting stress-corrosion cracks (SCC) using the Remote Field Eddy Current (RFEC) technique was demonstrated. The RFEC technique interrogates the entire thickness of the pipe and is applicable for in-line inspection. If it can be shown that the RFEC technique is effective in detecting SCC, then the technique is an ideal method for detecting the defects of interest. A defect detection model is proposed for explaining the mechanism for crack detection. For axially orientated, closed cracks, such as SCC, the conventional defect detection model proved to be too simplistic and not applicable. Therefore, a new detection model that examines the flow of circumferential eddy currents was developed based on experimental results. This model, though not rigorous, provides a general understanding of the applicability of the RFEC technique for finding SCC. The data from the cracks and various artificial defects are presented in three formats: isometric projections, pseudocolor images, and line-of-sight data. Though only two cracks were found, the experimental results correlate well with the circumferential eddy current theory. A theoretical analysis of the effects of motion on the output signal of the receiver is presented. This analysis indicates that the inspection speed of simple implementations may be limited to a few miles per hour.
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Jordan, Ramon L., Abed Gera, Hei-Ti Hsu, Andre Franck, and Gad Loebenstein. Detection and Diagnosis of Virus Diseases of Pelargonium. United States Department of Agriculture, 1994. http://dx.doi.org/10.32747/1994.7568793.bard.

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Pelargonium (Geranium) is the number one pot plant in many areas of the United States and Europe. Israel and the U.S. send to Europe rooted cuttings, foundation stocks and finished plants to supply a certain share of the market. Geraniums are propagated mainly vegetatively from cuttings. Consequently, viral diseases have been and remain a major threat to the production and quality of the crop. Among the viruses isolated from naturally infected geraniums, 11 are not specific to Pelargonium and occur in other crops while 6 other viruses seem to be limited to geranium. However, several of these viruses are not sufficiently characterized to conclude that they are distinct agents and their nomenclature and taxonomy are confusing. The ability to separate, distinguish and detect the different viruses in geranium will overcome obstacles te developing effective detection and certification schemes. Our focus was to further characterize some of these viruses and develop better methods for their detection and control. These viruses include: isolates of pelargonium line pattern virus (PLPV), pelargonium ringspot virus (PelRSV), pelargonium flower break virus (PFBV), pelargonium leaf curl (PLCV), and tomato ringspot virus (TomRSV). Twelve hybridoma cell lines secreting monoclonal antibodies specific to a geranium isolate of TomRSV were produced. These antibodies are currently being characterized and will be tested for the ability to detect TomRSV in infected geraniums. The biological, biochemical and serological properties of four isometric viruses - PLPV, PelRSV, and PFBV (and a PelRSV-like isolate from Italy called GR57) isolated from geraniums exhibiting line and ring pattern or flower break symptoms - and an isolate ol elderbeny latent virus (ELV; which the literature indicates is the same as PelRSV) have been determined Cloned cDNA copies of the genomic RNAs of these viruses were sequenced and the sizes and locations of predicted viral proteins deduced. A portion of the putative replicase genes was also sequenced from cloned RT-PCR fragments. We have shown that, when compared to the published biochemical and serological properties, and sequences and genome organizations of other small isometric plant viruses, all of these viruses should each be considered new, distinct members of the Carmovirus group of the family Tombusviridae. Hybridization assays using recombinant DNA probes also demonstrated that PLPV, PelRSV, and ELV produce only one subgenomic RNA in infected plants. This unusual property of the gene expression of these three viruses suggests that they are unique among the Carmoviruses. The development of new technologies for the detection of these viruses in geranium was also demonstrated. Hybridization probes developed to PFBV (radioactively-labeled cRNA riboprobes) and to PLPV (non-radioactive digoxigenin-labeled cDNAs) were generally shown to be no more sensitive for the detection of virus in infected plants than the standard ELISA serology-based assays. However, a reverse transcriptase-polymerase chain reaction assay was shown to be over 1000 times more sensitive in detecting PFBV in leaf extracts of infected geranium than was ELISA. This research has lead to a better understanding of the identity of the viruses infecting pelargonium and to the development of new tools that can be used in an improved scheme of providing virus-indexed pelargonium plants. The sequence information, and the serological and cloned DNA probes generated from this work, will allow the application of these new tools for virus detection, which will be useful in domestic and international indexing programs which are essential for the production of virus-free germplasm both for domestic markets and the international exchange of plant material.
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