Regis is 400 years old at the time of the books, meaning he was born nearly 1000 years aft…
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Approximately Dual and Pseudo-Dual Probabilistic Frames
This paper studies properties of dual probabilistic frames -- in particular in relation to redundancy -- and introduces both approximately dual probabilistic frames and pseudo-dual probabilistic frames. We show that the canonical dual probabilistic f...
Pictures and equations of motion in Lagrangian quantum field theory
The Heisenberg, interaction, and Schrödinger pictures of motion are considered in Lagrangian (canonical) quantum field theory. The equations of motion (for state vectors and field operators) are derived for arbitrary Lagrangians which are polynomi...
Adjointness Relations as a Criterion for Choosing an Inner Product
This is a contribution to the forthcoming book "Canonical Gravity: {}From Classical to Quantum" edited by J. Ehlers and H. Friedrich. Ashtekar's criterion for choosing an inner product in the quantisation of constrained systems is discussed. An err...
AI means the end of internet search as we’ve known it
Jan 6, 2025 · It could spell the end of the canonical answer. But make no mistake: This is the future of search. Try it for a bit yourself, and you’ll see.
An Algorithm to Simplify Tensor Expressions
The problem of simplifying tensor expressions is addressed in two parts. The first part presents an algorithm designed to put tensor expressions into a canonical form, taking into account the symmetries with respect to index permutations and the re...
Free Lunch
The Free Lunch Principle: Nature thrives on freebies. She chooses nothing, and no one helps Her. She must use canonical mathematical structures as there is no one to tell Her otherwise. With this I show where variational principles are superfluous an...
Quaternion Fourier and Linear Canonical Inversion Theorems
The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transformed as whole, rather than as color separated component. In addition,...
Quantum Cosmology
Invited contribution to the Encyclopedia of Mathematical Physics (2nd edition), providing an overview over some main ideas and results in quantum cosmology. Key points: Canonical quantisation of homogeneous, isotropic cosmology; discussion of ambigui...
The Fourier and Hilbert transforms under the Bargmann transform
There is a canonical unitary transformation from $L^2(\R)$ onto the Fock space $F^2$, called the Bargmann transform. We study the action of the Bargmann transform on several classical integral operators on $L^2(\R)$, including the fractional Fourier...
A mathematical survey on Fourier type integral transform and their offshoots: windowed Fou…
This comprehensive review paper delves into the intricacies of advanced Fourier type integral transforms and their mathematical properties, with a particular focus on fractional Fourier transform (FrFT), linear canonical transform (LCT), quadratic ph...
Appell Transformation and Canonical Transforms
The interpretation of the optical Appell transformation, as previously elaborated in relation to the free-space paraxial propagation under both a rectangular and a circular cylindrical symmetry, is reviewed. Then, the caloric Appell transformation, w...
pauldix/domainatrix
A cruel mistress that uses the public suffix domain list to dominate URLs by canonicalizing, finding the public suffix, and breaking them into their domain parts. (⭐ 309)
Matchings in matroids over abelian groups, II
The concept of matchings originated in group theory to address a linear algebra problem related to canonical forms for symmetric tensors. In an abelian group $(G,+)$, a matching is a bijection $f: A \to B$ between two finite subsets $A$ and $B$ of $G...
Evangelical counsels - Wikipedia
evangelical counsels, or counsels of perfection, are poverty, chastity, and obedience. As stated by Jesus Christ in the canonical gospels, they are counsels
"most" vs "the most", specifically as an adverb at the end of sentence
Apr 9, 2015 · Which one of the following sentences is the most canonical? I know most vs. the most has been explained a lot, but my doubts pertain specifically to which one to use at the end of a sentence. …
Heisenberg Double and Pentagon Relation
It is shown that the Heisenberg double has a canonical element, satisfying the pentagon relation. From a given invertible constant solution to the pentagon relation one can restore the structure of the underlying algebras. Drinfeld double can be real...
Lattice subalgebras of strongly regular vertex operator algebras
We prove a sharpened version of a conjecture of Dong-Mason about lattice subalgebras of a strongly regular vertex operator algebra $V$, and give some applications. These include the existence of a canonical conformal subVOA $W\otimes G\otimes Z \subs...
Pentagon Functions for Scattering of Five Massless Particles
We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of...
Torsion-free Word Hyperbolic Groups are Noncommutatively Slender
In this note we prove the claim given in the title. A group G is noncommutatively slender if each map from the fundamental group of the Hawaiian Earring to G factors through projection to a canonical free subgroup. Graham Higman, in his seminal 1952...
Gospel of Judas - Wikipedia
The Gospel of Judas is a non-canonical Christian religious text. Its content consists of conversations between Jesus and his disciples, especially Judas
Gospel of Luke - Wikipedia
The Gospel of Luke is the third of the New Testament's canonical Gospels. It tells of the origins, birth, ministry, death, resurrection, and ascension
Gospel of Mark - Wikipedia
The Gospel of Mark is the second of the four canonical Gospels and one of the three synoptic Gospels. It narrates the ministry of Jesus from his baptism
Gospel of Thomas - Wikipedia
The Gospel of Thomas (also known as the Coptic Gospel of Thomas) is a non-canonical sayings gospel. It was discovered near Nag Hammadi, Egypt, in 1945
Singly-Thermostated Ergodicity in Gibbs' Canonical Ensemble and the 2016 Ian Snook Prize A…
The 2016 Snook Prize has been awarded to Diego Tapias, Alessandro Bravetti, and David Sanders for their paper -- Ergodicity of One-Dimensional Systems Coupled to the Logistic Thermostat. They introduced a relatively stiff hyperbolic tangent thermosta...
My Immortal (fan fiction) - Wikipedia
2007. The story centers on a non-canonical female vampire character named "Ebony Dark'ness Dementia Raven Way" and her relationships with the characters
Is chima still considered to be canonically part of the Ninjago universe?
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"most" vs "the most", specifically as an adverb at the end of sentence
Apr 9, 2015 · Which one of the following sentences is the most canonical? I know most vs. the most has been explained a lot, but my doubts pertain specifically to which one to use at the end of a sentence. …
Arecibo Measurements of Pulsar--White Dwarf Binaries: Evidence for Heavy Neutron Stars
We summarize constraints on neutron star masses from ongoing timing observations of pulsar-white dwarf binaries at Arecibo. The trend is toward pulsar masses larger than the canonical value of 1.35 solar masses....
The (-1) twist
We extend the results of the eprint math.AG/0204256, obtained with Herb Clemens, about sections of nonnegative twists of the canonical bundle of subvarieties of generic hypersurfaces, to the case of the (-1) twist....
Finding the needle in high-dimensional haystack: A tutorial on canonical correlation analy…
Since the beginning of the 21st century, the size, breadth, and granularity of data in biology and medicine has grown rapidly. In the example of neuroscience, studies with thousands of subjects are becoming more common, which provide extensive phenot...
Poisson traces and D-modules on Poisson varieties
To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we canonically attach a right D-module M(X) on X. If X is affine, solutions of M(X) in the space of algebraic distributions on X are Poisson traces on X,...
Is there a lore reason why hollow purple canonically only ... - Reddit
Dec 27, 2023 · Hollow purple is like hakai from dbz and omega beams from DC where they should pretty much be a guaranteed w but ends up never working for plot reasons. Then again I'm pretty sure …
Gospel of John - Wikipedia
The Gospel of John is the fourth of the New Testament's canonical Gospels. It contains a schematic account of the ministry of Jesus, with seven "signs"
Height of rational points on quadratic twists of a given elliptic curve
We formulate a conjecture about the distribution of the canonical height of the lowest non-torsion rational point on a quadratic twist of a given elliptic curve, as the twist varies. This conjecture seems to be very deep and we can only prove partial...
"most" vs "the most", specifically as an adverb at the end of …
Apr 9, 2015 · Which one of the following sentences is the most canonical? I know most vs. the most has been explained a lot, but my doubts pertain specifically to which one to use at the …
"most" vs "the most", specifically as an adverb at the end of sentence
Apr 9, 2015 · Which one of the following sentences is the most canonical? I know most vs. the most has been explained a lot, but my doubts pertain specifically to which one to use at the end of a sentence. …
A q-Deformation of the Harmonic Oscillator
The q-deformed harmonic oscillator is studied in the light of q-deformed phase space variables. This allows a formulation of the corresponding Hamiltonian in terms of the ordinary canonical variables $x$ and $p$. The spectrum shows unexpected featu...
Mechanism Design with Limited Commitment
We develop a tool akin to the revelation principle for dynamic mechanism-selection games in which the designer can only commit to short-term mechanisms. We identify a canonical class of mechanisms rich enough to replicate the outcomes of any equilibr...
The Hamiltonian BVMs (HBVMs) Homepage
Hamiltonian Boundary Value Methods (in short, HBVMs) is a new class of numerical methods for the efficient numerical solution of canonical Hamiltonian systems. In particular, their main feature is that of exactly preserving, for the numerical solut...