The natverse, a versatile toolbox for combining and analysing neuroanatomical data.

To analyse neuron data at scale, neuroscientists expend substantial effort reading documentation, installing dependencies and moving between analysis and visualisation environments. To facilitate this, we have developed a suite of interoperable open-source R packages called the natverse. The natverse allows users to read local and remote data, perform popular analyses including visualisation and clustering and graph-theoretic analysis of neuronal branching. Unlike most tools, the natverse enables comparison across many neurons of morphology and connectivity after imaging or co-registration within a common template space. The natverse also enables transformations between different template spaces and imaging modalities. We demonstrate tools that integrate the vast majority of Drosophila neuroanatomical light microscopy and electron microscopy connectomic datasets. The natverse is an easy-to-use environment for neuroscientists to solve complex, large-scale analysis challenges as well as an open platform to create new code and packages to share with the community

Information flow, cell types and stereotypy in a full olfactory connectome

Funder: Howard Hughes Medical Institute; FundRef: http://dx.doi.org/10.13039/100000011The hemibrain connectome provides large-scale connectivity and morphology information for the majority of the central brain of Drosophila melanogaster. Using this data set, we provide a complete description of the Drosophila olfactory system, covering all first, second and lateral horn-associated third-order neurons. We develop a generally applicable strategy to extract information flow and layered organisation from connectome graphs, mapping olfactory input to descending interneurons. This identifies a range of motifs including highly lateralised circuits in the antennal lobe and patterns of convergence downstream of the mushroom body and lateral horn. Leveraging a second data set we provide a first quantitative assessment of inter- versus intra-individual stereotypy. Comparing neurons across two brains (three hemispheres) reveals striking similarity in neuronal morphology across brains. Connectivity correlates with morphology and neurons of the same morphological type show similar connection variability within the same brain as across two brains

On the q-analogues of the Zassenhaus formula for disentangling exponential operators

To our dear friend Srinivasa Rao with admiration, affection, and best wishes on his sixtieth birthday Katriel, Rasetti and Solomon introduced a q-analogue of the Zassenhaus · · ·, where A and B are two formula written as e (A+B) q = eA q eBq ec2 q ec3 q ec4 q ec5 q generally noncommuting operators and ez q is the Jackson q-exponential, and derived the expressions for c2, c3 and c4. It is shown that one can also write e (A+B) q = eA q eBq eC

Non-relativistic quantum mechanics in a non-commutative space

Non-relativistic quantum theory of a particle in a non-commutative space is formulated within the framework of the usual quantum mechanics itself. This is accomplished by showing explicitly that the Wess-Zumino formalism of deformed quantum mechanical phase space corresponding to a non-commutative space can be realized, in principle, in terms of the usual quantum mechanical phase space. The case of a slightly non-commutative space is considered in detail. A free particle in such a space is found to behave as if it is a charge particle moving in a self-generated magnetic field

Recent Developments in the Blowing Practice at Rourkela Steel Plant

Establishment of an input-wise consistent blowing practice forms the back-bone for fully realising the productivity of steel in the BOF process. The existing blowing practice at R.S.P., which is based on operators' experience, has been evaluated and the problems encountered were ident-ified. The features of a modified blowing practice with which slopping could be controlled, has been discussed. In imlementing this practice, the role played by the stack gas temperature probe has been highlighted. A scheme has been proposed to reduce the incidence of corrections on account of wide scatter in the end-point temperature perf-ormance

On the number operators of multimode systems of deformed oscillators covariant under quantum groups

For multimode systems of deformed oscillators covariant under the actions of the quantum groups SUq(n), SUq(n mod m), GLp,q(n) and GLp,q(n mod m) the number operators are constructed explicitly in terms of the creation and annihilation operators. The relation between the various kinds of deformed oscillator systems, representations of these oscillator algebras in terms of coordinates and deformed derivatives, realizations of classical groups in non-commutative spaces, and some aspects of the physical behaviour of quantum group covariant oscillator systems are also discussed