Octonion X,Y-Product G2G_{2} Variants

The automorphism group $G_{2}$ of the octonions changes when octonion X,Y-product variants are used. I present here a general solution for how to go from $G_{2}$ to its X,Y-product variant.Comment: 5 pages, latex, no figure

Echo's body: play and representation in interactive music software

This paper examines Hans Georg Gadamer's theory of play (as it is presented in Truth and Method) and adapts it to the context of interactive music software. I aim to show that interactive technological environments afford play in ways which, because they relate to truth and selfhood, are cognitively and philosophically significant and are not 'merely' playful

Labour, work and action in the creative process

This paper uses Hannah Arendt's theoretical distinction between labour, work and action to provide ways of characterising different moments within artistic production. Using this model, "creativity", sometimes thought to be radically inexplicable, can be straightforwardly be aligned with the "actional"

Acquire a practical overview of 'good faith' in commercial contracting

The twists and turns in the ongoing development of the implied common law good faith obligation in the commercial contractual arena continue to prove fertile academic ground. Despite a lack of guidance from the High Court, the lower courts have been besieged by claims based, in part, on the implied obligation. Although lower court authority is lacking consistency and the ‘decisions in which lower courts have recognised the legitimacy of implication of a term of good faith vary in their suggested rationales’, the implied obligation may provide some comfort to a party to ‘at least some commercial contracts’ faced with a contractual counterpart exhibiting symptoms of bad faith

Higher Spin BRS Cohomology of Supersymmetric Chiral Matter in D=4

We examine the BRS cohomology of chiral matter in $N=1$, $D=4$ supersymmetry to determine a general form of composite superfield operators which can suffer from supersymmetry anomalies. Composite superfield operators \Y_{(a,b)} are products of the elementary chiral superfields $S$ and \ov S and the derivative operators D_\a, \ov D_{\dot \b} and \pa_{\a \dot \b}. Such superfields \Y_{(a,b)} can be chosen to have `$a$' symmetrized undotted indices \a_i and `$b$' symmetrized dotted indices \dot \b_j. The result derived here is that each composite superfield \Y_{(a,b)} is subject to potential supersymmetry anomalies if $a-b$ is an odd number, which means that \Y_{(a,b)} is a fermionic superfield.Comment: 15 pages, CPT-TAMU-20/9

A Corpus-based Study Of Rhythm Patterns

We present a corpus-based study of musical rhythm, based on a collection of 4.8 million bar-length drum patterns extracted from 48,176 pieces of symbolic music. Approaches to the analysis of rhythm in music information retrieval to date have focussed on low-level features for retrieval or on the detection of tempo, beats and drums in audio recordings. Musicological approaches are usually concerned with the description or implementation of manmade music theories. In this paper, we present a quantitative bottom-up approach to the study of rhythm that relies upon well-understood statistical methods from natural language processing. We adapt these methods to our corpus of music, based on the realisation that—unlike words—barlength drum patterns can be systematically decomposed into sub-patterns both in time and by instrument. We show that, in some respects, our rhythm corpus behaves like natural language corpora, particularly in the sparsity of vocabulary. The same methods that detect word collocations allow us to quantify and rank idiomatic combinations of drum patterns. In other respects, our corpus has properties absent from language corpora, in particular, the high amount of repetition and strong mutual information rates between drum instruments. Our findings may be of direct interest to musicians and musicologists, and can inform the design of ground truth corpora and computational models of musical rhythm. 1

BRS Cohomology of the Supertranslations in D=4

Supersymmetry transformations are a kind of square root of spacetime translations. The corresponding Lie superalgebra always contains the supertranslation operator $\delta = c^{\alpha} \sigma^{\mu}_{\alpha \dot \beta} {\overline c}^{\dot \beta} (\epsilon^{\mu})^{\dag}$. We find that the cohomology of this operator depends on a spin-orbit coupling in an SU(2) group and has a quite complicated structure. This spin-orbit type coupling will turn out to be basic in the cohomology of supersymmetric field theories in general.Comment: 14 pages, CTP-TAMU-13/9

Classical String in Curved Backgrounds

The Mathisson-Papapetrou method is originally used for derivation of the particle world line equation from the covariant conservation of its stress-energy tensor. We generalize this method to extended objects, such as a string. Without specifying the type of matter the string is made of, we obtain both the equations of motion and boundary conditions of the string. The world sheet equations turn out to be more general than the familiar minimal surface equations. In particular, they depend on the internal structure of the string. The relevant cases are classified by examining canonical forms of the effective 2-dimensional stress-energy tensor. The case of homogeneously distributed matter with the tension that equals its mass density is shown to define the familiar Nambu-Goto dynamics. The other three cases include physically relevant massive and massless strings, and unphysical tahyonic strings.Comment: 12 pages, REVTeX 4. Added a note and one referenc

Analysis of Wind Instruments on Orofacial Anatomy: A Review of Literature

The focus of this review of literature is on orofacial anatomy and their association with the longevity of wind instrument use. The importance of how playing wind instruments creates a disadvantage for the oral cavity and therapeutic approaches to decrease the adverse effects. Using the university’s library database and PubMed, the authors performed a thorough search on the literature of our topic. Specific key terms such as wind instrumentalists, oral health, orofacial anatomy, and therapy were used to conduct our search. The searched was limited to the English language and within five years of publications. The findings acknowledged pathologically infectious microorganisms can proliferate in the mouthpiece of wind instruments, leading to diseases. The major orofacial anatomy affected by consistent use of musical instruments include salivary glands, the temporomandibular joint, and the dentition. Excessive pressure was a key factor in inflammation and damage to the hard and soft orofacial tissues. Furthermore, the reviewed literature revealed embouchure is vital to understanding a musicians oral health necessities. Developments in dentistry have been able to establish treatment in many cases for prosthodontic care and treatment plans for others wind instrumentalists so they have a chance to continue their passion with comfort and health.https://scholarscompass.vcu.edu/denh_student/1007/thumbnail.jp

PYIN: A FUNDAMENTAL FREQUENCY ESTIMATOR USING PROBABILISTIC THRESHOLD DISTRIBUTIONS

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