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DIFFERENTIAL FORMS ON DIFFERENTIAL SPACES
Die Autoren definieren die wesentlichen Begriffe, um eine Analysis auf Differentialräumen \((M,C)\) zu konstruieren: \(k\)-Vektoren, Differentialformen, äußere Ableitung und Integration. Dabei gehen sie nicht vom üblichen Begriff des Tangentialvektors als Derivation auf \(C\) aus, sondern definieren ``glatte Halbkurven'' als glatte Abbildungen \([0,1[ \
Mąka, R., Urbański, P.
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“Movement in architecture” is an organized system of various types of movements stimulated by specific architectural elements. This research was conducted through a qualitative-analytical method and empirical and bibliographical research methods with the
Mosleh Ahmadi
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On unimodular multilinear forms with small norms on sequence spaces [PDF]
Daniel Pellegrino +2 more
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KITOPARTS: A Virtual Playground To Explore Form, Space, & Order
Architecture students use both analog and digital tools throughout their design process. Ideally, the affordances of each tool complement each other. Our goal with Kitoparts is to move beyond two-dimensional screen based computer modeling environments to
Derek A. Ham
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Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}
Gupta, Ashish, Mandal, Sugata
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A basic inequality for submanifolds in a cosymplectic space form
For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
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Investigating Space Utilization in Skyscrapers Designed with Prismatic Form
The enduring appeal of prismatic shapes, historically prevalent in office building designs, persists in contemporary skyscraper architecture, which is attributed particularly to their advantageous aspects concerning cost-efficiency and optimal space ...
Hüseyin Emre Ilgın +1 more
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Second Order parallel tensor on generalized f.pk-space form and hypersurfaces of generalized f.pk-space form [PDF]
Punam Gupta, Sanjay Kumar Singh
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Hyperbolic spaces and quadratic forms [PDF]
even investigated spaces with distances not necessarily real numbers. Menger [5], [6] investigated necessary and sufficient conditions that a semimetric (n+ 1)-tuple be isometrically imbeddable in a euclidean n-dimensional space En. He solved this problem by means of equations and inequalities involving certain determinants.
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Bridging the Form and Function Gap in Urban Green Space Design through Environmental Systems Modeling [PDF]
Kim Irvine +10 more
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