Results 61 to 70 of about 176,435 (287)
An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang)
Forum of Mathematics, Sigma, 2021 Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogonality relation on $\mathrm {GL}(1)$) was used by Dirichlet to prove ...
Dorian Goldfeld +2 more
doaj +1 more source
Birkhoff-James orthogonality and applications : A survey
, 2020 In the last few decades, the concept of Birkhoff-James orthogonality has been used in several applications. In this survey article, the results known on the necessary and sufficient conditions for Birkhoff-James orthogonality in certain Banach spaces are
Grover, Priyanka, Sushil
core
How orthogonalities set Kochen-Specker sets
, 2010 We look at generalisations of sets of vectors proving the Kochen-Specker theorem in 3 and 4 dimensions. It has been shown that two such sets, although unitarily inequivalent, are part of a larger 3-parameter family of vectors that share the same ...
Blanchfield, Kate
core +1 more source
Orthogonality of quasi-orthogonal polynomials
Filomat, 2018 A result of P?lya states that every sequence of quadrature formulas Qn(f) with n nodes and positive Cotes numbers converges to the integral I(f) of a continuous function f provided Qn(f) = I(f) for a space of algebraic polynomials of certain degree that depends on n.
Bracciali, Cleonice F. +2 more
openaire +4 more sources
FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source
Science and Religion: Some Demarcation Criteria
Zygon, 2001 Discussions on the congruence, compatibility, and contradictions between science and religion have been going on since the rise of modern science. In our own times, there are many efforts to build bridges of harmony between the two.
doaj +2 more sources
Orthogonality relations in Quantum Tomography
, 2000 Quantum estimation of the operators of a system is investigated by analyzing its Liouville space of operators. In this way it is possible to easily derive some general characterization for the sets of observables (i.e.
D'Ariano +11 more
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Orthogonal polynomials with orthogonal derivatives [PDF]
Bulletin of the American Mathematical Society, 1938 We are concerned with the following assertion: THEOREM. If {φn(x)} and { φn’(x)} are orthogonal systems of polynomials, then {φn(x)} may be reduced to the classical polynomials of Jacobi, Laguerre, or Hermite by means of a linear transformation on x.
openaire +2 more sources
FEBS Open Bio, EarlyView.Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn +4 more
wiley +1 more source
Distributional transformations without orthogonality relations
, 2015 Distributional transformations characterized by equations relating expectations of test functions weighted by a given biasing function on the original distribution to expectations of the test function's higher derivatives with respect to the transformed ...
Döbler, Christian
core +1 more source