Results 31 to 40 of about 1,331 (113)
Teleosemantics for neural word embeddings
This paper applies a consumer‐based teleosemantic framework to give a detailed analysis of a particular algorithm for generating word embeddings. In the process, it addresses several of the challenges facing teleosemantic approaches to artificial neural networks.
Fintan Mallory
wiley +1 more source
Do large language models (“LLMs”) think? Daniel Stoljar and Zhihe Vincent Zhang have recently developed an argument from rationality for the claim that LLMs do not think. We contend, however, that the argument from rationality not only falters, but leaves open an intriguing possibility: that LLMs engage only in arational, associative forms of thinking ...
Joseph Gottlieb +2 more
wiley +1 more source
Bounded exponential sums with multiplicative coefficients
Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c‐colouring of a design is an assignment of colours to its points from a set of c available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
wiley +1 more source
A Practical Guide to Studying Magnetic Alignment of Free‐Living Animals: Lessons From Leopards
We show that spatial autocorrelation in circular data can be detected and provide guidelines how to avoid such issues in magnetic alignment field studies. ABSTRACT Spontaneous magnetic alignment describes the tendency of animals to preferentially orient their major body axis in a non‐random alignment relative to the magnetic field.
Lukas Landler +2 more
wiley +1 more source
Aggregation and the Structure of Value
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
wiley +1 more source
ABSTRACT I give an argument for a version of the principle of sufficient reason from several plausible principles about negative facts and sufficient conditions. I then give an argument for a slightly weaker version of the principle without the reference to negative facts.
Stephen Harrop
wiley +1 more source
ABSTRACT The unification of quantum mechanics and general relativity remains a central problem in fundamental physics. Here, we study the gravitomagnetic Aharonov–Bohm (AB) effect for Cooper pairs in Kerr spacetime. Frame‐dragging by a rotating black hole (BH) generates an effective vector potential through the off‐diagonal metric term gtϕ$g_{t\phi }$,
Erdem Sucu, İzzet Sakallı
wiley +1 more source
Self‐Similar Blowup for the Cubic Schrödinger Equation
ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source

