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Coherent Breathing - The Defintive Method.....................169

(2008)Coherence for categorified operadic theories. PhD thesis, University of Glasgow.

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A coherent neutrino-nucleus interaction, as introduced in , is defined as one which leaves the nucleus in the same quantum state as it was initially. The nucleus' constituents must retain their identity, and the nucleus cannot be excited or fragmented, though it can recoil.

Integrating  coherently over all nucleons, the total hadronic current for the nucleus, A, is:

Given an algebraic theory which can be described by a (possibly symmetric) operad P, we propose a definition of the weakening (or categorification) of the theory, in whichequations that hold strictly for P -algebras hold only up to coherent isomorphism. This generalizes the theories of monoidal categories and symmetric monoidal categories, andseveral related notions defined in the literature. Using this definition, we generalize the result that every monoidal category is monoidally equivalent to a strict monoidal category, and show that the “strictification” functor has an interesting universal property, being leftadjoint to the forgetful functor from the category of strict P -categories to the category of weak P -categories. We further show that the categorification obtained is independent of our choice of presentation for P , and extend some of our results to many-sorted theories,using multicategories.

Definition of coherent thesis | ChaCha

Third, to weld together a closely coherent body ofsupporters, the leader must appeal to a common humanweakness.

The Master of Arts (Thesis Only) lets you showcase your ability to present and argue a coherent hypothesis on your chosen issue, as supported by research and analysis.

New data on coherent pion production is necessary. The T2K experiment delivers an intense νμ beam through a near detector designed, in part, for neutrino interaction studies. This presents an ideal opportunity to contribute to the understanding of coherent pion production.

Present a coherent thesis in the introduction, (2)

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As mentioned above, the majority of data on coherent pion production, taken at high neutrino-energies, is satisfactorily described by the model published by Deiter Rein and Lalit Sehgal and updated to account for a non-zero final-state lepton mass .

31. Find opportunities to discuss your research with your friends andcolleagues. Listen carefully to their questions. See if you are able topresent your research in a clear and coherent manner. Are there aspectsof your research that are particularly confusing and need further explanation?Are there things that you forgot to say? Could you change the order ofthe information presented and have it become more understandable?

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What is a coherent thesis? | ChaCha

Over the following decade five more experiments observed and measured both and coherent pion production with neutrinos and anti-neutrinos. Many giving exceptionally clean and clear signals of coherent production such as those in .Over a wide range of neutrino energies all experimental data were consistent with predictions from the Rein-Sehgal model, within the resolution of the measurements ().

22/02/2009 · What is a coherent thesis

The absorption factor essentially comes from considering the mean path of a pion leaving the nucleus and the probability for it to interact and break coherence. The likelihood of such an interaction is taken from the cross-section for π-N inelastic scattering (the origin of which will also be discussed in a moment), and the nuclear radius scale, R0, is used to estimate the nuclear radius R = R0A.

Stern (2000) Toward a Coherent Theory of …

Although it's unclear if the Rein-Sehgal model becomes invalid, and it has yet to be conclusively ruled out, it seems likely that an alternative model will be required to successfully describe coherent pion production at lower neutrino energies.

Coherentism is a theory of epistemic justification

A specific case of this type of interaction is that of coherent pion production, which can procede either via the charged- or neutral-current, and in which the neutrino scatters off the nucleus, A, and produces a single pion of appropriate charge:

This article will show you the importance of Coherence

One such alternative is the Alvarez-Ruso model .Unlike the Rein-Sehgal model, which is an example of a “ model”, the Alvarez-Ruso model is an example of a “microscopic model”.Whereas models describe coherent pion production off of a nucleus in terms of a single interaction channel with that nucleus, a microscopic model describes the process in terms of a coherent sum of neutrino-nucleon interactions where the final-state nucleon is constrained to remain in the same quantum state.

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The Alvarez-Ruso coherent pion production cross-section is expressed as a differential in the energy of the outgoing lepton, El, and the solid angles of the outgoing lepton and pion, Ωl and Ωπ:

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