Decomposable subspaces, linear sections of Grassmann varieties, and higher weights of Grassmann codes

Flow-based coiled systems, through which a heat transfer fluid (such as glycerol) is pumped, are widely used for thermal stabilization of bioreactors and biosensor cuvettes and cells. Previously, using horseradish peroxidase (HRP) as a model protein, we have demonstrated that the incubation of a protein solution in a flow-based system over coiled pipe with flowing glycerol leads to a change in the adsorption properties of the protein macromolecules. Herein, we have studied the effect of the glycerol flow on the properties of HRP, the solution of which was placed differently: i.e., near either the inflow or the outflow linear sections of the pipe, while the coiled section of the pipe was shielded with a grounded metallic cover. Atomic force microscopy (AFM) has been employed in order to visualize the HRP protein macromolecules adsorbed from its solution onto the mica substrate surface. The quantity of adsorbed protein was estimated based on the AFM data. The enzymatic activity of HRP was estimated by spectrophotometry. We demonstrate that a change in the properties of HRP enzyme was observed after the incubation of its solution near the inflow/outflow linear sections of the pipe with flowing glycerol. Namely, after the incubation of HRP solution near the inflow section, a decrease in the protein adsorption onto mica was observed, but its enzymatic activity remained unchanged in comparison to the control sample. In another case, when the HRP solution was incubated near the outflow section, an increased protein adsorption was observed, while the enzyme exhibited considerably lower activity.

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Point-line incidence on Grassmannians and majority logic decoding of Grassmann codes

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101843 ◽

2021 ◽

Vol 73 ◽

pp. 101843

Author(s):

Peter Beelen ◽

Prasant Singh

Keyword(s):

Majority Logic ◽

Grassmann Codes ◽

Point Line ◽

Majority Logic Decoding

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Algorithms for approximating contours by linear sections

2021 10th Mediterranean Conference on Embedded Computing (MECO) ◽

10.1109/meco52532.2021.9460289 ◽

2021 ◽

Author(s):

Anatoly I. Novikov ◽

Aleksey I. Efimov ◽

Dmitry I. Ustukov ◽

Andrey S. Tarasov

Keyword(s):

Linear Sections

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Queen Charlotte fault zone: microearthquakes from a temporary array of land stations and ocean bottom seismographs

Canadian Journal of Earth Sciences ◽

10.1139/e81-071 ◽

1981 ◽

Vol 18 (4) ◽

pp. 776-788 ◽

Cited By ~ 23

Author(s):

R. D. Hyndman ◽

R. M. Ellis

Keyword(s):

Fault Zone ◽

Strike Slip ◽

Ocean Bottom ◽

Small Component ◽

Queen Charlotte Islands ◽

The North ◽

Vertical Fault ◽

Linear Sections ◽

Ocean Bottom Seismographs ◽

Steep Slopes

A temporary array of land and ocean bottom seismograph stations was used to accurately locate microearthquakes on the Queen Charlotte fault zone, which occurs along the continental margin of western Canada. The continental slope has two steep linear sections separated by a 25 km wide irregular terrace at a depth of 2 km. Eleven events were located with magnitudes from 0.5 to 2.0, 10 of them beneath the landward one of the two steep slopes, some 5 km off the coast of the southern Queen Charlotte Islands. No events were located beneath the seaward and deeper steep slope. The depths of seven of these events were constrained by the data to between 9 and 21 km with most near 20 km. The earthquake and other geophysical data are consistent with a near vertical fault zone having mainly strike-slip motion. A model including a small component of underthrusting in addition to strike-slip faulting is suggested to account for the some 15° difference between the relative motion of the North America and Pacific plates from plate tectonic models and the strike of the margin. One event was located about 50 km inland of the main active zone and probably occurred on the Sandspit fault. The rate of seismicity on the Queen Charlotte fault zone during the period of the survey was similar to that predicted by the recurrence relation for the region from the long-term earthquake record.

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THE ISOPIESTIC METHOD APPLIED TO SORPTION ISOTHERMS

Canadian Journal of Research ◽

10.1139/cjr49b-012 ◽

1949 ◽

Vol 27b (2) ◽

pp. 87-100 ◽

Cited By ~ 1

Author(s):

S. Barnartt ◽

J. B. Ferguson

Keyword(s):

Carbon Tetrachloride ◽

Linear Relation ◽

Sorption Isotherms ◽

Sorption Process ◽

The Other ◽

Isopiestic Method ◽

Simple Criterion ◽

Water Vapors ◽

Linear Sections ◽

Wide Pressure

The isopiestic method has been applied to the sorption of carbon tetrachloride and water vapors by activated coconut shell charcoals. The isopiestic charges were found to be linearly related over wide pressure ranges. Isotherms formed by plotting the isopiestic charges of two charcoals one against the other consisted of three linear sections for both carbon tetrachloride and water. If the pressure isotherm of one charcoal be known, those of other charcoals may be computed from it by weighing relatively few isopiestic charges. Errors inherent in the measurement of equilibrium pressures, as well as those caused by the drift of the pressure isotherms towards higher sorption capacities at a given pressure, are eliminated in the isopiestic method of comparing charcoals. The linear relation between the isopiestic charges affords a simple criterion of rejection for equations proposed to fit the pressure isotherms. It also throws into relief the structural regularities in activated charcoals. The existence of discontinuities m the sorption process, reported by previous experimenters, is supported by the isopiestic data.

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A CIRCLE MAP FOR A PHYTOPLANKTONIC LIFE CYCLE

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127400000219 ◽

2000 ◽

Vol 10 (02) ◽

pp. 325-344 ◽

Cited By ~ 4

Author(s):

ERIC P. M. GRIST

Keyword(s):

Dynamical System ◽

Life Cycle ◽

Seasonal Change ◽

West Coast ◽

Temporal Dynamics ◽

Piecewise Linear ◽

Circle Map ◽

Development Data ◽

Linear Sections ◽

Successive Generations

I focus on the temporal dynamics generated by a life cycle consisting of two contiguous stages developing under the influence of a stimulus which pulsates between on and off. I ask: under what general conditions does a population held in exposure to this kind of periodic stimulus achieve life cycle synchrony? The situation is represented by a dynamical system consisting of a nondecreasing circle map whose plot is made up of 45° and horizontal piecewise-linear sections. These features permit the iterative dynamics (itineraries) followed by successive generations to be derived and algebraic conditions for high-ordered synchronization to be derived. Using development data obtained for the phytoplankton Thalassiorira pseudonana and mean daily irradiation intensities recorded over different months at the latitude of Oban (west coast of Scotland), I apply the model to investigate how seasonal change in daily irradiance may directly influence the synchronous dynamics of such populations.

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Modeling the Stress-Strain Curve of Elastic-Plastic Materials

Solid State Phenomena ◽

10.4028/www.scientific.net/ssp.316.936 ◽

2021 ◽

Vol 316 ◽

pp. 936-941

Author(s):

Natalya Ya. Golovina

Keyword(s):

Mathematical Models ◽

Strain Curve ◽

Variational Model ◽

Linear Deformation ◽

Plastic Materials ◽

Non Linear ◽

Linear Sections ◽

Elastic Plastic Materials ◽

Deformation Section ◽

St3sp Steel

The work is devoted to the formulation of mathematical models of plastic materials without hardening. A functional is proposed, the requirement of stationarity of which made it possible to formulate the differential equation of stress as a function of deformation. On the linear deformation section, a second-order functional is proposed; on the non-linear deformation section, a fourth-order functional is proposed. A range of boundary value problems is formulated, that ensure the continuity of the function at the boundary of the linear and non-linear sections of the deformation curve. The theoretical strain curve was compared with the samples of experimental points for materials: St3sp steel, steel 35, steel 20HGR, steel 08Kh18N10, titanium alloy VT6, aluminum alloy D16, steel 30KhGSN2A, steel 40Kh2N2MA, and showed a good agreement with the experiment. Thus, a variational model is constructed, that allows one to construct curve deformations of various physically non-linear materials, which will allow one to construct further mathematical models of the resource of such materials.

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