11,769 research outputs found
A class of index coding problems with rate 1/3
An index coding problem with messages has symmetric rate if all
messages can be conveyed at rate . In a recent work, a class of index coding
problems for which symmetric rate is achievable was characterised
using special properties of the side-information available at the receivers. In
this paper, we show a larger class of index coding problems (which includes the
previous class of problems) for which symmetric rate is
achievable. In the process, we also obtain a stricter necessary condition for
rate feasibility than what is known in literature.Comment: Shorter version submitted to ISIT 201
Heat Treat Furnace Operations
The subject of heat treatment filrnaces is broad based and the intention of this paper is to cover some aspects of heat treatment operations and control. With my limited exposure to carburising and hardening operations, I would like to share my experiences in the use of furnaces in controlled conditions
On Distance Magic Harary Graphs
This paper establishes two techniques to construct larger distance magic and
(a, d)-distance antimagic graphs using Harary graphs and provides a solution to
the existence of distance magicness of legicographic product and direct product
of G with C4, for every non-regular distance magic graph G with maximum degree
|V(G)|-1.Comment: 12 pages, 1 figur
Electron transfer in chemistry and biology - the primary events in photosynthesis
One of the most important chemical reactions is electron transfer from one atomic/molecular unit to another. This reaction, accompanied by proton and hydrogen atom transfers, occurs in a cascade in many biological processes, including photosynthesis. The key chemical steps involved in photosynthesis and the many unsolved mysteries are described in this article
Towards a Finite- Hologram
We suggest that holographic tensor models related to SYK are viable
candidates for exactly (ie., non-perturbatively in ) solvable holographic
theories. The reason is that in these theories, the Hilbert space is a spinor
representation, and the Hamiltonian (at least in some classes) can be arranged
to commute with the Clifford level. This makes the theory solvable level by
level. We demonstrate this for the specific case of the uncolored
tensor model with arbitrary even , and reduce the question of determining
the spectrum and eigenstates to an algebraic equation relating Young tableaux.
Solving this reduced problem is conceptually trivial and amounts to matching
the representations on either side, as we demonstrate explicitly at low levels.
At high levels, representations become bigger, but should still be tractable.
None of our arguments require any supersymmetry.Comment: 16 page
How Bohr's Copenhagen interpretation is realist and solves the measurement problem
The field of interpretation of quantum mechanics emerged in an attempt to
solve the measurement problem. This turned on the perception that Niels Bohr
avoided addressing the measurement problem by taking an instrumentalist view of
quantum mechanics. I argue that this view is mistaken and Bohr's interpretation
of quantum mechanics is realist. Moreover, Bohr's interpretation, which is
different from textbook quantum mechanics (which is due more to Von Neumann and
Paul Dirac), succeeds in solving the measurement problem. While the claim that
Bohr dissolves the measurement problem within the limits of the epistemological
framework he assumes has been made by a few authors, rarely has the case been
made that Bohr's project unambiguously and completely overcomes the measurement
problem. I make the strong case that Bohr eliminated the measurement problem
altogether. For this, I put forward two new postulates through which to make
sense of Bohr's interpretation. The article thus seeks to single out Bohr's
interpretation from the various views that go together under the umbrella of
orthodox quantum mechanics, and which have been traditionally considered
susceptible to the measurement problem. It shows that Bohr's interpretation
should be classified along with those like hidden variable theories, collapse
models, modal interpretations etc., which offer a solution to the measurement
problem and are committed to a realist ontology.Comment: 22 page
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