10 ENGLISH BOOKS RELATING TO «DIAGONALIZATION»
Discover the use of
diagonalization in the following bibliographical selection. Books relating to
diagonalization and brief extracts from same to provide context of its use in English literature.
1
Diagonalization and Self-Reference
This book presents a systematic, unified treatment of fixed points as they occur in G del's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics.
Raymond M. Smullyan, 1994
2
Handbook of Philosophical Logic
DIAGONALIZATION. IN. LOGIC. AND. MATHEMATICS. 1 DIAGONAL METHODS
The family of diagonalization techniques in logic and mathematics supports
important mathematical theorems and rigorously demonstrates philosophically ...
Dov M. Gabbay, Franz Guenthner, 2004
3
Quantum Methods with Mathematica
JO. Partial. Exact. Diagonalization. Suppose we retain HO eigenfunctions as a
basis set and calculate the matrix elements of another hamiltonian, which
describes a system other than the HO. Clearly, the resulting matrix would not be
diagonal, ...
4
Computer Science Handbook, Second Edition
In contrast, decision problems in NEXP — P that have been constructed by
diagonalization are artificial problems that nobody would want to solve anyway.
Although diagonalization produces unnatural problems by itself, the combination
of ...
5
Speech Enhancement: A Signal Subspace Perspective
single diagonalization, 19 single-channel time-domain, 53, 61 mean-square
distance (MSD), 102 minimum MSD (MMSD) estimator, 102 MSE criterion joint
diagonalization, 35, 43 multichannel frequency-domain, 86 multichannel time-
domain, ...
Jacob Benesty, Jesper Rindom Jensen, Mads Graesboll Christensen, 2014
6
Turing Machines with Sublogarithmic Space
Diagonalization. Stearns et. al. (1965) showed using diagonalization that the
deterministic space hierarchy above logarithm is dense. They proved that if L(n) >
logn and L(n) is space constructible, then there exists a language accepted by an
...
Andrzej Szepietowski, 1994
7
Current Trends in Theoretical Computer Science: Entering the ...
We will give several examples and discuss four possible approaches to use
diagonalization for separating logarithmic-space from nondeterministic
polynomial-time. 1 Introduction The greatest embarrassment in computational
complexity ...
Gheorghe Păun, Grzegorz Rozenberg, Arto Salomaa, 2001
8
Deducibility and Decidability
'π.π is a predicate whose diagonalization contains an archaism'. Since 'choleric'
is—for our purposes—an archaism, θ1 is true of 'p.p is choleric', but it is false of
both 'η.η contains an archaism' and 'η.η contains no archaism'. Is θ1 true of itself ...
R. R. Rockingham Gill, 2002
9
Computational Complexity: A Modern Approach
Diagonalization. [T]he relativized P :?NP question has a positive answer for some
oracles and a negative answer for other oracles. We feel that this is further
evidence of the difficulty of the P :?NP question. — Baker, Gill, Solovay [BGS75] A
...
Sanjeev Arora, Boaz Barak, 2009
10
Reviews in Computational Chemistry
Third, several well-developed and easy-to-use ''canned'' routines exist that allow
robust diagonalization of Hermitian and real-symmetric matrices. Similar routines
can also be found for solving generalized eigenproblems. One can find such ...
Kenny B. Lipkowitz, Thomas R. Cundari, 2007
10 NEWS ITEMS WHICH INCLUDE THE TERM «DIAGONALIZATION»
Find out what the national and international press are talking about and how the term
diagonalization is used in the context of the following news items.
Probing molecular chirality on a sub-femtosecond timescale
The ground state of our chiral system, ϕ0, was obtained by implementing the iterative diagonalization Lanczos method on a Cartesian grid. The potential Vc ... «Nature.com, Jun 15»
A Few of My Favorite Spaces: The Cantor Set
Cantor's diagonalization argument, which establishes this fact, is probably my very favorite proof in mathematics. That same reasoning can be ... «Scientific American, Mar 15»
Things to Make and Do in the Fourth Dimension (Book Review)
Parker's book covers some well-worn popular math topics: the optimal dating algorithm, Möbius strips, and Cantor's diagonalization argument. «Scientific American, Feb 15»
In Praise of Proofs by Contradiction that Aren't
Another commonly given example of proof by contradiction is Cantor's diagonalization argument showing that the set of real numbers is ... «Scientific American, Aug 14»
Some Infinities Are Bigger than Other Infinities, and Some Are Just …
I don't mind it if a teenager in a book (or, for that matter, in real life) doesn't understand Cantor's diagonalization argument but still finds the idea ... «Scientific American, Jul 14»
Quasiparticle Signatures in Quantum Spin Liquids
The authors' calculations—considerably more complicated than the Hamiltonian diagonalization used to solve Kitaev's model—required ... «Physics, May 14»
Unravelling proton NMR spectra of foodstuffs with independent …
... component analysis (MILCA), stochastic non-negative ICA (SNICA), joint approximate diagonalization of eigenmatrices (JADE) and robust, ... «spectroscopyNOW.com, Mar 14»
Viewpoint: Quantum liquids move to a higher dimension
The authors use techniques in numerical diagonalization to examine the zero-temperature phase diagram of the frustrated spin- model on a ... «Physical Review Focus, Aug 11»
Changing repulsion into attraction with the quantum Hippy Hippy …
... in one-dimensional problems, where a technique that systematically solves increasingly larger systems using matrix diagonalization methods ... «Physics, Jun 11»
Microwaving and stirring the quantum Hall spaghetti
However, theoretical calculations—both mean-field [11] and exact diagonalization [12] ones—give a smaller number: . Appearance of the same ... «Physics, May 11»
