title: Coupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanics

authors: Kalnins, Ernie G.

subjects: mathematics

abstract: We review the fundamentals of coupling constant metamorphosis (CCM) and the Stäckel transform, and apply them to map integrable and superintegrable systems of all orders into other such systems on different manifolds. In general, CCM does not preserve the order of constants of the motion or even take polynomials in the momenta to polynomials in the momenta. We study specializations of these actions which preserve polynomials and also the structure of the symmetry algebras in both the classical and quantum cases. We give several examples of non-constant curvature third- and fourth-order superintegrable systems in two space dimensions obtained via CCM, with some details on the structure of the symmetry algebras preserved by the transform action.

text: Coupling constant metamorphosis and Nth-order symmetries in classical and quantum mechanics We review the fundamentals of coupling constant metamorphosis (CCM) and the Stäckel transform, and apply them to map integrable and superintegrable systems of all orders into other such systems on different manifolds. In general, CCM does not preserve the order of constants of the motion or even take polynomials in the momenta to polynomials in the momenta. We study specializations of these actions which preserve polynomials and also the structure of the symmetry algebras in both the classical and quantum cases. We give several examples of non-constant curvature third- and fourth-order superintegrable systems in two space dimensions obtained via CCM, with some details on the structure of the symmetry algebras preserved by the transform action.

year: 2010

title: Bio-informational capitalism

authors: Peters, Michael A.

subjects: Biocapitalism

abstract: This essay builds on the literatures on ‘biocapitalism’ and ‘informationalism’ (or ‘informational capitalism’) to develop the concept of ‘bio-informational capitalism’ in order to articulate an emergent form of capitalism that is self-renewing in the sense that it canchange and renew the material basis for life and capital as well as program itself. Bioinformational capitalism applies and develops aspects of the new biology to informaticsto create new organic forms of computing and self-reproducing memory that in turn has become the basis of bioinformatics. The paper begins with a review of the successes ofthe ‘new biology’, focusing on Craig Venter’s digitizing of biology and, as he remarks, the creation of new life from the digital universe. The paper then provides a brief account of bioinformatics before brokering and discussing the term ‘bioinformational capitalism’

text: Bio-informational capitalism This essay builds on the literatures on ‘biocapitalism’ and ‘informationalism’ (or ‘informational capitalism’) to develop the concept of ‘bio-informational capitalism’ in order to articulate an emergent form of capitalism that is self-renewing in the sense that it canchange and renew the material basis for life and capital as well as program itself. Bioinformational capitalism applies and develops aspects of the new biology to informaticsto create new organic forms of computing and self-reproducing memory that in turn has become the basis of bioinformatics. The paper begins with a review of the successes ofthe ‘new biology’, focusing on Craig Venter’s digitizing of biology and, as he remarks, the creation of new life from the digital universe. The paper then provides a brief account of bioinformatics before brokering and discussing the term ‘bioinformational capitalism’

year: 2012

title: He pūrongo whakahokinga kōrero a te akomanga rūmaki o Te Tohu Paetahi

authors: Nock, Sophie

subjects: Reo Māori

abstract: Ko te whāinga matua o tēnei rangahau he whakakaokao, he wetewete āno hoki i ngā whakahokinga kōrero a te hunga uiui i kake atu ai ki runga i te waka o Te Tohu Paetahi i te tau 2008, i raro i te kōawa o Rehutai, i raro anō hoki i te maru o Te Whare Wānanga o Waikato. Ka aro atu ki ngā urupare a te hunga tekau mā ono mō te kaupapa nei o Te Tohu Paetahi, ka mutu, ka matapakihia ngā kōrero me ngā whakaaro o taua hunga kia āta kitea ai, āe rānei e tika ana te whakahaere, te mahi whakaako i te reo, te tautoko mai hoki a ngā kaiwhakaako me te kura. I te mutunga iho tautoko katoa te hunga uiui ki aua mea katoa.

text: He pūrongo whakahokinga kōrero a te akomanga rūmaki o Te Tohu Paetahi Ko te whāinga matua o tēnei rangahau he whakakaokao, he wetewete āno hoki i ngā whakahokinga kōrero a te hunga uiui i kake atu ai ki runga i te waka o Te Tohu Paetahi i te tau 2008, i raro i te kōawa o Rehutai, i raro anō hoki i te maru o Te Whare Wānanga o Waikato. Ka aro atu ki ngā urupare a te hunga tekau mā ono mō te kaupapa nei o Te Tohu Paetahi, ka mutu, ka matapakihia ngā kōrero me ngā whakaaro o taua hunga kia āta kitea ai, āe rānei e tika ana te whakahaere, te mahi whakaako i te reo, te tautoko mai hoki a ngā kaiwhakaako me te kura. I te mutunga iho tautoko katoa te hunga uiui ki aua mea katoa.

year: 2012-05