Finite Differences on Sparse Grids for Continuous-Time Heterogeneous Agent Models by Jochen Garcke, Steffen Ruttscheidt

“…Discretizations on sparse grids only involve <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">O</mi><mo>(</mo><mi>N</mi><msup><mrow><mo>(</mo><mo form="prefix">log</mo><mi>N</mi><mo>)</mo></mrow><mrow><mi>d</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>)</mo></mrow></semantics></math></inline-formula> degrees of freedom in comparison to the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">O</mi><mo>(</mo><msup><mi>N</mi><mi>d</mi></msup><mo>)</mo></mrow></semantics></math></inline-formula> degrees of freedom of conventional methods, where <i>N</i> denotes the number of grid points in one coordinate direction and <i>d</i> is the dimension of the problem. …”
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Time-Efficient Contact Consistent Whole-Body Control Framework via Reduced-Dimension Dynamics Construction by Junewhee Ahn, Jaesug Jung, Hokyun Lee, Jaeheung Park

“…By applying the reduced-dimension dynamics to operational space whole-body control, the computational burden caused by the high degrees of freedom in the whole-body dynamics is reduced, leading to shorter computation times. …”
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Unified reference system for geometric characteristics dimensional elements of details. Part II. Geometric characteristics of cylindrical elements of parts by V. I. Glukhov, L. G. Varepo

“…The unified reference system for the geometric characteristics of the part is the Cartesian rectangular coordinate system, which is materialized by sets of design datums that limit the part to six degrees of freedom: three linear and three angular. ISO standards for geometric tolerances do not use coordinate systems. …”
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Discrete Euler–Bernoulli beam lattices with beyond nearest connections by R G Edge, E Paul, K H Madine, D J Colquitt, T A Starkey, G J Chaplain

“…The propagation of elastic waves on discrete periodic Euler–Bernoulli mass-beam lattices is characterised by the competition between coupled translational and rotational degrees-of-freedom at the mass-beam junctions. We influence the dynamics of this system by coupling junctions with beyond-nearest-neighbour spatial connections, affording freedom over the locality of dispersion extrema in reciprocal space, facilitating the emergence of interesting dispersion relations. …”
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Interpretation and application of Article 404 of the Criminal Procedure Code of Ukraine on court initiative: case law of the Criminal Court of Cassation by I. V. Hloviuk

“…The conclusion has been made that examination of evidence by the court of appeal on its own initiative, without a relevant request from a party to the proceedings, to establish certain circumstances to be proved or to provide a different assessment of certain evidence which was assessed by the local court, when considering an appeal filed to worsen the position of the accused, is a violation of the principle of competition between the parties and freedom to present their evidence and prove their conviction before the court, as set out in Art. 22 of the Criminal Procedure Code of Ukraine of the principle of adversarial nature of the parties and their freedom to present their evidence and prove their conviction before the court, and may indicate a lack of impartiality and accusatory bias of the court in a particular criminal proceeding.…”
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Historiography in Vilnius University from 1803 to 1832: between education and romanticizm by Mečislovas Jučas

“…The full release of creative potentials is possible only with political freedom and freedom of mind. Despotism and slavery limits the progress of society while democracy stimulates it. …”
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Planetary Mass Determinations from a Simplified Photodynamical Model—Application to the Complete Kepler Dataset by Aviv Ofir, Gideon Yoffe, Oded Aharonson

“…We use PyDynamicaLC , a model using the least number of—and the least correlated—degrees of freedom needed to derive a photodynamical model, to describe some of the smallest—and lowest-transit-timing-variation-amplitude—of the Kepler planets. …”
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On Damage Identification in Planar Frames of Arbitrary Size by I. Fiore, A. Greco, A. Pluchino

“…Both matrices can be assembled by means of standard methods, which take into account the numbers of degrees of freedom of the frame. The occurrence of concentrated damage in some vulnerable sections modifies the degrees of freedom and therefore both the stiffness and mass matrices. …”
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„Stânga” şi „dreapta” doctrinei revistei literare „Gândirea” by Iulia Belu

“…The movement was characterized by a lack of unity, there was the right wing of ˝Gândirea˝’s doctrine, which lingered in a metaphysical belief and traditional literary values and the left wing, that put more emphasis on creativity and freedom of the movement of literary ideas.…”
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Safeguards for the independent functioning of public service media providers. The legal position of domestic legislation that is not in compliance with Article 5 EMFA by Enrico Albanesi

“…The aim of this article is to comment on Article 5 of the European Media Freedom Act (EMFA), about safeguards for the independent functioning of public service media providers, and shaping the legal position of domestic legislation in this field, which will not be in compliance with that article from the date (8 August 2025) when Article 5 EMFA begins to apply.…”
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Structural Modal Reanalysis of Topological Modifications by Su Huan Chen, Cheng Huang, Zongjie Cao

“…It is necessary for topological modifications with the increase of joints and the number of degrees of freedom. The research results show that the proposed method is effective and easy to implement on a computer.…”
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Analysis of Multiaxis Vibration Simulators by Norman Fitz-Coy

“…The analysis is applied to both 3 and 6 degrees of freedom configurations. The existence of singular configurations is mentioned and appropriate corrective measures are recommended. …”
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L’émancipation par le savoir : à quelles conditions ? by François Galichet

“…Education was supposed making freedom. Recently, this link between emancipation and knowledge is questioned. …”
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Quadriptyque narratif autour de la Seconde Guerre mondiale by Joëlle Ginestet

“…Bec put language issues and freedom of expression at the centre of our Western society.…”
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Algérie 2012. Célébrer l’Indépendance sans les Algériens by Mathilde Cazeaux

“…Many of the actors complained of a cultural policy characterized by a certain hegemonic willfulness supported by a cash economy, a combination which both emasculates civil society and undermines freedom of expression in favor of a unique ideological discourse. …”
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Hilbert Space Representations of Generalized Canonical Commutation Relations by Asao Arai

“…We define a Schrödinger-type representation of the GCCR by an analogy with the usual Schrödinger representation of the CCR with degrees of freedom. Also, we introduce a Weyl-type representation of the GCCR. …”
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Le Brésil colonial : tropique de tous les péchés ? by Richard Marin

“…Most accounts of Brazil have characterized this country as one of bodily freedom and unbridled sexuality. In these tellings, the violence of the slave system, the intense miscegenation among Blacks, Indians, and Portuguese, the limited presence of the Catholic Church (largely unaffected by the Tridentine reform) mainly account for such behaviors. …”
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Accuracy Analysis and Improvement of Calculation Method of Gear System Dynamics Equation by Song Huan, Wu Liyan, Liu Lan, Wang Haiwei

“…Taking the single-stage gear rotor system as the research object,a generalized finite element model with total freedom is established. The calculation speed and the accuracy of Newmark method and Fourier series method are compared in solving dynamics equation of gear system. …”
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L’art comme forme symbolique by Audrey Rieber

“…Music becomes a path to freedom when, and only when, it reaches the stage of pure symbolic.…”
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Coda: Reading Duncan Reading Stein by Steve McCaffery

“…Most significantly we note emerging a germinal Poetics of Incoherence and Disintegration, and a wholesale attack on grammatical order that aligns both Stein and Duncan himself with the avant-garde trajectories of Hugo Ball’s “poetry without words” and Marinetti’s “words in freedom.”…”
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