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    How to properly examine the veins of the lower limbs: lying, sitting or standing? by V. Yu. Bogachev, D. A. Churikov

    Published 2021-01-01
    “…Methods of manual compression of the muscular mass and straining at different patient positions are described.The vertical position of the patient (or sitting position) is the most reliable way to identify the peculiarities of anatomical structure and pathological changes of the subcutaneous vein walls, which may be of great importance for planning and carrying out subsequent invasive manipulations, but there is a question about the expediency of making linear measurements in this position, if the invasive intervention is carried out while lying down. Carrying out compression ultrasound, assessment of hemodynamic parameters of venous blood flow, including the use of samples with straining and manual compression of muscle masses of the limb, it is much more convenient to perform in the lying position.…”
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  3. 643

    Reduction by Lie Group Symmetries in Diffeomorphic Image Registration and Deformation Modelling by Stefan Sommer, Henry O. Jacobs

    Published 2015-05-01
    “…Particle relabelling symmetry allows the equations of motion to be reduced to the Lie algebra allowing the equations to be written purely in terms of the Eulerian velocity field. …”
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  4. 644
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    Singular Kähler-Einstein metrics on Q-Fano compactifications of Lie groups by Yan Li, Gang Tian, Xiaohua Zhu

    Published 2023-04-01
    Subjects: “…$ \mathbb q $-fano compactifications of lie groups…”
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    Fractional Pricing Models: Transformations to a Heat Equation and Lie Symmetries by Reginald Champala, Sameerah Jamal, Suhail Khan

    Published 2023-08-01
    “…A significant result which emerges is that we prove such transformations yield solutions under the Riemann–Liouville and Caputo derivatives. Furthermore, Lie point symmetries are necessary to construct solutions to the model that incorporate the behaviour of the underlying financial assets. …”
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    New Type Direction Curves in 3-Dimensional Compact Lie Group by Ali Çakmak

    Published 2019-03-01
    Subjects: “…Lie group…”
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    Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs by Chih-Whi Chen, Shun-Jen Cheng

    Published 2024-01-01
    “…We show that, for an arbitrary finite-dimensional quasi-reductive Lie superalgebra over ${\mathbb {C}}$ with a triangular decomposition and a character $\zeta $ of the nilpotent radical, the associated Backelin functor $\Gamma _\zeta $ sends Verma modules to standard Whittaker modules provided the latter exist. …”
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    Fredholm conditions for operators invariant with respect to compact Lie group actions by Baldare, Alexandre, Côme, Rémi, Nistor, Victor

    Published 2021-11-01
    “…Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi ^m(M; E_0, E_1)$ be a $G$–invariant, classical pseudodifferential operator acting between sections of two $G$-equivariant vector bundles $E_i \rightarrow M$, $i = 0,1$, and let $\alpha $ be an irreducible representation of the group $G$. …”
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    Finite Dimensional Simple Modules over Some GIM Lie Algebras by Limeng Xia, Dong Liu

    Published 2022-07-01
    Subjects: “…GIM Lie algebra…”
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  20. 660