Historical transformation of cities originality of Samara province in the second half of the XIX century

The problem of historical cities formation is very relevant in recent years. The second half of the XIX century is a period of reforms in the Russian history, when many values were rethought. This historical period was a period of industrialization and urbanization, when a provincial city got its new development and prosperity. This paper is devoted to the historical development and transformation of the Samara province city in the second half of the XIX century. Every city of the Samara province passed a unique way of development during the study period and contributed to the development of the originality region. Both sides characterize the originality of the cities: economic and social. Economic uniqueness of the Samara province cities in the second half of the century was reflected in such indicators as: industrial production and development of trade relations (in the province there was a variety of places and forms of trade: fair, railway station and harbor). A social component of the originality of the region county town was made of the population characteristics: the number, class hierarchy, the mentality. Each element formed the uniqueness of the county towns as well as created a common image of industrial Russia.

The binding of Pseudomonas aeruginosa outer membrane ghosts to human buccal epithelial cells

The binding of outer membrane (OM) ghosts derived from Pseudomonas aeruginosa strain 492c to human buccal epithelial cells (BECs) was examined. Electron microscopic examination of the binding of OM ghosts to BECs revealed direct OM ghost–BEC interaction. Equilibrium analysis of the binding of OM ghosts to trypsinized BECs employing the Langmuir adsorption isotherm indicated the number of binding sites (iV) to be 1.3 × 10−1 μg protein per BEC with an apparent association constant (Ka) of 3.4 × 10−2 mL/μg protein. The Langmuir analysis of binding of OM ghosts to untrypsinized BECs was complex, suggesting two possible classes of receptors, a high affinity–low copy number class (Ka, 1.8 × 10−2 mL/μg protein; N, 8.6 × 10−5 μg protein per BEC) and a low affinity – high copy number class(Afa, 3.7 × 10−3 mL/μg protein; N, 9.2 × 10−4 μg protein per BEC). Sugar inhibition studies incorporating D-galactose enhanced binding to each BEC type. N-Acetylneuraminic acid and N-acetyl-glucosamine both enhanced binding of OM ghosts to untrypsinized BECs, while inhibiting binding to trypsinized BECs. D-Arabinose inhibited binding to both BEC types. Binding of OM ghosts to both BEC types was greatly inhibited by D-fucose, while L-fucose only greatly inhibited binding to untrypsinized BECs. These sugar inhibition data demonstrated a difference in the binding of OM ghosts to trypsinized and untrypsinized BECs and possibly reveal the nature of the receptor(s), free of possible bacterial metabolic effects. These data indicated that OM ghosts from 492c appear to bind to BECs in a similar manner to the intact bacteria and represent a simple model system to study the adhesion of P. aeruginosa to BECs.

Adhesion of Pseudomonas aeruginosa to human buccal epithelial cells: evidence for two classes of receptors

The adhesion of Pseudomonas aeruginosa strain 492c to trypsinized and untrypsinized buccal epithelial cells (BECs) was studied. Kinetic analysis of the adhesion data, employing a Langmuir absorption isotherm, indicated the presence of two classes of binding sites on untrypsinized BECs: a high affinity – low copy number site (apparent association constant (Ka ≈ 1.57 × 10−8 mL/cell with ca. 29 binding sites/cell) and a low affinity – high copy number class of binding sites (Ka ≈ 4.78 × 10−10 mL/cell with ca. 264 binding sites/cell). The low affinity – high copy number class of sites was found to be trypsin sensitive. A single class of binding sites was found on trypsinized BECs exhibiting a high affinity – low copy number (Ka ≈ 3.70 × 10−7 mL/cell with ca. 31 binding sites/cell). Positive cooperativity in binding of P. aeruginosa strain 492c to the low affinity – high copy number class site on untrypsinized BECs was demonstrated by analysis of Hill plots of the adhesion data. Sugar inhibition data using a preincubation methodology showed an inhibition of adhesion to trypsinized BECs in the presence of N-acetylneuraminic acid and D-arabinose, while these same two sugars enhanced adhesion to untrypsinized BECs. D-Galactose and N-acetylglucosamine enhanced adhesion to both types of BECs though the latter did to different extents. D-Fucose only inhibited adhesion to untrypsinized BECs. Without preincubation the sugar inhibition data indicated that N-acetylglucosamine had no effect on adhesion while N-acetylneuraminic acid and D-fucose both enhanced adhesion to both types of BECs. D-Arabinose had a slight inhibitory effect on adhesion, while D-galactose had a slight enhancing effect to both cell types, but to different levels. This sugar data suggests a difference in the receptors on the two types of BECs, but the possibility of metabolism of these sugars by P. aeruginosa requires one to interpret this data with caution. Flagella were shown not to be involved in adhesion, while the alginic acid of the capsule was implicated. The low copy number binding site is speculated to be a pili-binding site, while the high copy number class of binding sites is proposed to involve a lectin which binds alginic acid.

The Relationship of the Fanaroff-Riley Classification of Extragalactic Radio Sources to Jet Physics

The Class I/Class II division of extragalactic radio sources by Fanaroff-Riley is a manifestation of important physical differences existing in radio sources.It is proposed that the division essentially arises from the differing Mach numbers in Class I and Class II jets. The low Mach number, Class I jets are susceptible to turbulence, are decelerated by entrainment of the surrounding medium and maintain an anomalously high surface brightness as a result. The high Mach number, Class II jets are less turbulent and remain supersonic, produce high pressure shocks along their lengths and terminate via a strong shock against the IGM.An analysis of the energy balance in both types of source reveals jet velocities of the order of 5-10,000 km s-1 for Class I jets and mildly relativistic velocities for Class II jets.The important rôle of optical and X-ray observations in determining the gravitational field of pressure distribution in radio galaxies will be discussed with examples given of NGC1399 and IC4296.

Normal functions and constructive ordinal notations

An r-normal function is a strictly increasing continuous function from r to r where r is a regular ordinal > ω (identify an ordinal with the set of smaller ordinals). Given an r-normal function f one can form a sequence {f(x, −)}x<r of r-normal functions—the Veblen hierarchy [33] on f—as follows: f(0, −) = f and, for x > 0, f(x, −) enumerates in order {z ∣ f(y, z) = z for all y < x}, the common fixed points of the f(y, −)'s for y < x. In this paper we give as readable an exposition as we can of Veblen hierarchies and of Bachmann's and Isles's techniques in [3] and [15] of using higher finite number classes for forming sequences {f(x, −)}x<y where y > r of r-normal functions which extend the Veblen hierarchy on f. We will show how these sequences—Bachmann hierarchies—yield extremely natural constructive notations for ordinals in various initial segments of the second number class. We will also consider various other techniques for obtaining constructive ordinal notations and relate them to the notations obtained by Bachmann's and Isles's techniques. In particular, we will use these notations to characterize as directly and as usefully as we can various of Takeuti's systems of constructive ordinal notations, which he calls ordinal diagrams ([31], [32]).

Systems of notations and the ramified analytical hierarchy

The purpose of this paper is to show that arithmetically minimal systems of notations can be constructed which provide notations for all ramified analytical ordinals (all the ordinals in the minimum β-model for analysis). This is a much larger section of the second number class than the Church-Kleene constructive ordinals (although still only an initial segment of the ordinals). Arithmetic minimality means that if H is an “H-set” associated with an ordinal α in our system and H′ is an H-set associated with the same ordinal α in an arbitrary system of notations S, then H is arithmetical in H′. Thus the arithmetical degrees associated with ordinals in our system are as low as possible.In order to clarify the structure of degrees of unsolvability and, more generally, to gain a deeper insight into the power set of the integers, coarser but neater classifications than the structure of Turing degrees have been sought. Several hierarchies of sets of integers have been studied, each of which organizes a certain class of sets (or their degrees of unsolvability) into a well-ordering of levels with increasing complexity of nonrecursiveness appearing at each new level. The best known of these hierarchies is the Kleene hierarchy of arithmetical sets.

Ordinal recursion, and a refinement of the extended Grzegorczyk hierarchy

It is well known that iteration of any number-theoretic function f, which grows at least exponentially, produces a new function f′ such that f is elementary-recursive in f′ (in the Csillag-Kalmar sense), but not conversely (since f′ majorizes every function elementary-recursive in f). This device was first used by Grzegorczyk [3] in the construction of a properly expanding hierarchy {ℰn: n = 0, 1, 2, …} which provided a classification of the primitive recursive functions. More recently it was shown in [7] how, by iterating at successor stages and diagonalizing over fundamental sequences at limit stages, the Grzegorczyk hierarchy can be extended through Cantor's second number-class. A problem which immediately arises is that of classifying all recursive functions, and an answer to this problem is to be found in the general results of Feferman [1]. These results show that although hierarchies of various types (including the above extensions of Grzegorczyk's hierarchy) can be produced, which range over initial segments of the constructive ordinals and which do provide complete classifications of the recursive functions, these cannot be regarded as classifications “from below”, since the method of assigning fundamental sequences at limit stages must be highly noneffective. We therefore adopt the more modest aim here (as in [7], [12], [14]) of characterising certain well-known (effectively generated) subclasses of the recursive functions, by means of hierarchies generated in a natural manner, “from below”.