Zobrazeno 1 - 10
of 132 636
pro vyhledávání: 'Ode, Jacob'
Autor:
Moser, Jan
In this paper we use our theory of Jacob's ladders on the Raabe's integral to obtain: (i) The thirteenth equivalent of the Fermat-Wiles theorem, as well as (ii) almost exact decomposition of certain elements of continuum set of increments of the Hard
Externí odkaz:
http://arxiv.org/abs/2407.11458
Autor:
Moser, Jan
In this paper new $\Gamma$-functional is constructed upon the basis of the set of almost linear increments of the Hardy-Littlewood integral. This functional generates a $\Gamma$-equivalent of the Fermat-Wiles theorem and also new set of factorization
Externí odkaz:
http://arxiv.org/abs/2403.17522
Autor:
Moser, Jan
In this paper we give new consequences that follow from our formula for increments of the Hardy-Littlewood integral. Main of these consequences is an $\zeta$-equivalent of the Fermat-Wiles theorem. It is expressed purely by means of the Riemann's zet
Externí odkaz:
http://arxiv.org/abs/2306.07648
Autor:
Moser, Jan
In this paper we introduce a generating vector-operator acting on the class of functions $L_2([a,a+2l])$. This operator produces (for arbitrarily fixed $[a,a+2l]$) infinite number of new generation $L_2$-systems. Every element of the mentioned system
Externí odkaz:
http://arxiv.org/abs/2302.07508
Autor:
Moser, Jan
In this paper we prove that there is a continuum set of increments with some minimal structure for the Hardy - Littlewood integral. The result implies a number of new properties of the Hardy - Littlewood integral.
Externí odkaz:
http://arxiv.org/abs/2304.09267
Autor:
Christiansen, Jacob S., Rubin, Olof
We investigate Chebyshev polynomials corresponding to Jacobi weights and determine monotonicity properties of their related Widom factors. This complements work by Bernstein from 1930-31 where the asymptotical behavior of the related Chebyshev norms
Externí odkaz:
http://arxiv.org/abs/2409.02623
Autor:
Fiedler, Jacob B., Stull, D. M.
In this paper, we give improved bounds on the Hausdorff dimension of pinned distance sets of planar sets with dimension strictly less than one. As the planar set becomes more regular (i.e., the Hausdorff and packing dimension become closer), our lowe
Externí odkaz:
http://arxiv.org/abs/2408.00889
Autor:
Choromanski, Krzysztof, Davis, Jared Quincy, Likhosherstov, Valerii, Song, Xingyou, Slotine, Jean-Jacques, Varley, Jacob, Lee, Honglak, Weller, Adrian, Sindhwani, Vikas
We present a new paradigm for Neural ODE algorithms, called ODEtoODE, where time-dependent parameters of the main flow evolve according to a matrix flow on the orthogonal group O(d). This nested system of two flows, where the parameter-flow is constr
Externí odkaz:
http://arxiv.org/abs/2006.11421