2,387 results for Sustainability HD Vector

arxiv.org/abs/1408.4601v1

The Kerr-Schild ansatz revised

Kerr-Schild metrics have been introduced as a linear superposition of the flat spacetime metric and a squared null vector field, say $\boldsymbol{k}$, multiplied by some scalar function, say $H$. The basic assumption which led to Kerr solution was th...

arxiv.org/abs/2104.10988v2

Dimensions of Betti Cones on Edge Ideals

Boij-Söderberg Theory views the Betti diagrams of graded modules over polynomial rings as vectors in a rational vector space, and studies the cone that these vectors generate (called a 'Betti Cone'). The objects of study in this paper are the Betti...

arxiv.org/abs/hep-th/9511151v1

Index Theory, Gerbes, and Hamiltonian Quantization

We give an Atiyah-Patodi-Singer index theory construction of the bundle of fermionic Fock spaces parametrized by vector potentials in odd space dimensions and prove that this leads in a simple manner to the known Schwinger terms (Faddeev-Mickelsson...

github.com/zhemao/creek

zhemao/creek

A vector processor implemented in Chisel (⭐ 21)

github.com/jackcao95/Transformers

jackcao95/Transformers

Tens of millions of years ago, the intelligent five-sided monsters in the universe built a planet in the Universe -- Cybertron. On this planet, five-sided monsters built Vector Sigma, a planetary core computer that they could easily make.And built two producti…

arxiv.org/abs/1611.07216v2

What to Expect When You Are Expecting on the Grassmannian

Consider an incoming sequence of vectors, all belonging to an unknown subspace $\operatorname{S}$, and each with many missing entries. In order to estimate $\operatorname{S}$, it is common to partition the data into blocks and iteratively update the...

arxiv.org/abs/1809.07042v5

Up- and down-quark masses from QCD sum rules

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative QCD (PQCD...

www.bing.com/ck/a?!&&p=14a5fc0d8a24f03da45bec9d1e3668d0592052c1cd7b1b5ce4c78db9ed076ae6JmltdHM9MTc3MjQ5NjAwMA&ptn=3&ver=2&hsh=4&fclid=0389cec0-4340-68d8-366e-d9d142e2691d&u=a1aHR0cHM6Ly93d3cuc2NpZW5jZW5ld3N0b2RheS5vcmcvd2hhdC1pcy1nZW5lcmF0aXZlLWFpLWdlbmFpLWRlZmluaXRpb24taG93LWl0LXdvcmtzLWFwcGxpY2F0aW9ucy1hbmQtZnV0dXJlLWltcGFjdA&ntb=1

What is Generative AI (GenAI)? Definition, How It Works, Applications ...

Aug 9, 2025 · GenAI operates in high-dimensional spaces where data points — be they words, pixels, or musical notes — can be represented as vectors. In this abstract geometry of meaning, a model …

en.wikipedia.org/wiki/Spin%E2%80%93spin_relaxation

Spin–spin relaxation - Wikipedia

In physics, the spin–spin relaxation is the mechanism by which Mxy, the transverse component of the magnetization vector, exponentially decays towards

en.wikipedia.org/wiki/Spinor

Spinor - Wikipedia

physics, spinors (pronounced "spinner" IPA /spɪnər/) are elements of a complex vector space that can be associated with Euclidean space. A spinor transforms

arxiv.org/abs/2201.10435v1

Measurement of the 87Rb D-line vector tune-out wavelength

We report a precision measurement of a tune-out wavelength for 87Rb using circularly polarized light. A tune-out wavelength characterizes a zero in the electric polarizability of the atom. For circularly polarized light, the total polarizability depe...

en.wikipedia.org/wiki/Derivation_%28differential_algebra%29

Derivation (differential algebra) - Wikipedia

vector field is an R-derivation on the algebra of differentiable functions on a differentiable manifold; more generally it is a derivation on the tensor algebra

github.com/arooshitaneja/Air_Quality_ppm_prediction

arooshitaneja/Air_Quality_ppm_prediction

This is an implementation of Time Series forecasting methods namely VAR(Vector Auto Regressive) model and various other RNN models like Non-Linear AutoRegressive with eXogenous inputs) (4 Layers), Elman RNN, Jordan RNN. (⭐ 6)

arxiv.org/abs/2105.03557v3

Comparative analysis of the original and amplitude permutations

The original and amplitude permutations are two basic ordinal patterns; however, their relationship has received little attention. This paper compares the original and amplitude permutations used to characterize vector structures. To accurately conve...