On the pullback equation ϕ∗(g)=f

The Pullback Equation for Differential Forms

survey on the rule of the due & hindering relying on the sheikh ansaris ideas

قاعده مقتضی و مانع در متون فقهی کم و بیش مستند احکام قرار گرفته و مورد مناقشه فقهاء و اصولیین می باشد و مشهور معتقند مقتضی و مانع، قاعده نیست بلکه یکی از مسائل ذیل استصحاب است لذا نگارنده بر آن شد تا پیرامون این قاعده پژوهش جامعی انجام دهد. به عقیده ما مقتضی دارای حیثیت مستقلی است و هر گاه می گوییم مقتضی احراز شد یعنی با ماهیت مستقل خودش محرز گشته و قطعا اقتضاء خود را خواهد داشت مانند نکاح که ...

Learning Pullback Metrics on Dynamical Models

Consider the problem of classifying motions, encoded as dynamical models of a certain class. Standard nearest neighbor classification then reduces to find a suitable distance function in the space of the models. In this paper we present a supervised differentialgeometric method to learn a Riemannian metric for a given class of dynamical models in order to improve classification performances. Gi...

On the Pullback of an Arithmetic Theta Function

In this paper, we consider the relation between the simplest types of arithmetic theta series, those associated to the cycles on the moduli space C of elliptic curves with CM by the ring of integers Ok in an imaginary quadratic field k, on the one hand, and those associated to cycles on the arithmetic surface M parametrizing 2-dimensional abelian varieties with an action of the maximal order OB...

On the Star Class Group of a Pullback

For the domain R arising from the construction T,M,D, we relate the star class groups of R to those of T and D. More precisely, let T be an integral domain, M a nonzero maximal ideal of T , D a proper subring of k := T/M , φ : T → k the natural projection, and let R = φ−1(D). For each star operation ∗ on R, we define the star operation ∗φ on D, i.e., the “projection” of ∗ under φ, and the star ...