Fenomena of compression, extension and quantitative equacomponence in the syntactic synonymy (based on French fiction of the 20th – the beginning of the 21st c.)

In this article the mono- and polypredicative utterances with syntactic synonymy of French fiction of the 20th – the beginning of the 21st c. are studied in the continuum language → discourse as transforms of virtual (linguistic) primary (pivotal) structures which are actualized in the form of mono- and polysynonymic compressed, extended and quantitatively equacomponential co(n)textually preferential options. The goal of this research is to distinguish the different semantic-structural types of analyzed constructions of modern French fiction and to inversely (discourse → language) reconstruct the primary structure of actualized synonymic transforms. In the article the transformational method is used to reveal the semantic-structural peculiarities of the pivotal syntagmata and propositions and of the mono- and polysynonymic transforms; and the method of the inverse reconstruction of virtual transformational processes in order to identify all the members of synonymic chains. It was proved that the redundant synonymic constructions are extended with adverbs, pronouns and predicates (active and passive extension), the compression is manifested most often by the contamination and the semantic and syntagmatic ellipsis. The elliptical constructions are defined in the research as structures with the implicit nominal/pronominal component and with the explicit, explicit-implicit or completely implicit predicate or the structures with the implicit complement where the implicit components are deduced associatively or co(n)textually. The different types of synonymic preferential options with the polysynonymisation at the level of syntagma or utterances were detected in modern French fiction. It was concluded that the author actualizes the mono- and polypredicative mono- and polysynonymiс constructions according to some communicative intention and planning of narration.

Inverse Reconstruction of Cell Proliferation Laws in Cancer Invasion Modelling

The process of local cancer cell invasion of the surrounding tissue is key for the overall tumour growth and spread within the human body, the past 3 decades witnessing intense mathematical modelling efforts in these regards. However, for a deep understanding of the cancer invasion process these modelling studies require robust data assimilation approaches. While being of crucial importance in assimilating potential clinical data, the inverse problems approaches in cancer modelling are still in their early stages, with questions regarding the retrieval of the characteristics of tumour cells motility, cells mutations, and cells population proliferation, remaining widely open. This study deals with the identification and reconstruction of the usually unknown cancer cell proliferation law in cancer modelling from macroscopic tumour snapshot data collected at some later stage in the tumour evolution. Considering two basic tumour configurations, associated with the case of one cancer cells population and two cancer cells subpopulations that exercise their dynamics within the extracellular matrix, we combine Tikhonov regularisation and gaussian mollification approaches with finite element and finite differences approximations to reconstruct the proliferation laws for each of these sub-populations from both exact and noisy measurements. Our inverse problem formulation is accompanied by numerical examples for the reconstruction of several proliferation laws used in cancer growth modelling.

SYNTACTIC SYNONYMY AS ONE OF THE PECULIARITIES OF AUTHOR’S IDIOSTYLE (based on French fiction of the XXth – the beginning of the XXIst centuries)

In this article the syntactic synonyms as one the characteristics of the author’s idiostyle are defined as the co(n)textually preferential options formed in the continuum language → discourse as a result of the phased phenomenological cognitive polyoperations at the levels of primary and secondary consciousness: destruction and reconstruction of being and its structures and categories → sublinguistic schemes → primary (pivotal) structures → secondary reduced, extended and quantitatively equacomponential one-basis and two-basis synonymic transforms. Transformational processes and the primary structure are revealed by means of the procedure of inverse reconstruction (discourse → language). The author’s idiostyle is considered as the correlation of different degree of individual and collective cognitive spaces that conditions the choice and actualization of some synonymic structures. Three types of author’s idiostyle are distinguished: 1) diffuse (dominance of the collective cognitive space over the individual one which is revealed through the realization of synonymic structures characteristic to a certain epoch; 2) personal (prevalence of the individual cognitive space over the collective one, that is the actualization of grammaticalized synonymic utterances appropriate for another epoch, of typical agrammaticalized synonymic structures characteristic to another epoch or non-characteristic to the described epoch, of non-typical agrammaticalized synonymic structures. The french writer’s idiostyle of the XXth – the beginning of the XXIst centuries is analyzed using the examples of different semantic-structural types of synonymic preferential options (reduced mono- and polypredicative constructions with the participial and gerundial head lexemes, asyndetic conditional structures and extended with the predicates and presentatives synonymic structures) and it is proved the coexistence of two phenomena: reduction and extension in the modern French fiction despite of the general tendency of the economy of means of expression of author’s thought

SUBORDINATE AND MATRIX SYNONYMIC INFINITIVE UTTERANCES IN FRENCH FICTION OF THE XX – XXI CENTURIES

In this article subordinate and matrix infinitive utterances are defined as one-basis (with one transformational terminal chain) and two-basis (with two or more transformational terminal chains) synonymic transforms of the virtual (linguistic) primary propositionnal structure with the concessive, temporal, causal, final, hypothetical semantic meanings. They are actualized in the form of preferential options-compressed, extended or quantitatively equacomponential discourse innovations with the explicit predicate and the implicit actant coreferent or non-coreferent with the actant of the matrix utterance according to the communicative intention or the idiostyle of the author. Different semantic-structural types of subordinate infinitive utterances, the matrix infinitive utterances containing the verb savoir, the specific extended polypredicative constructions (with the extender-demonstrative pronoun) and the quantitatively equacomponential structures with the initial infinitive are distinguished. The inverse reconstruction (discourse → language) of the virtual transformational processes is carried out in order to identify all the members of the virtual synonymic chains. It is proved that the procedure of the inverse reconstruction and the identification of the primary proposition are impossible in case of the insufficience of the expression. The “alternativeˮ linguistic experiment allows for justifying the co(n)textual (linguistic and situational) pertinence of the analyzed synonymic preferential options and determining the author’s idiostylistic peculiarities.

SYNONYMIC ASYNDETIC SUBORDINATE UTTERANCES OF POLYPREDICATIVE STRUCTURES WITH THE PARTICIPIAL AND GERUNDIAL HEAD LEXEMES (on the material of French fiction of the 20th � the beginning of the 21st centuries)

In the article absolute pre-, inter- and postpositive grammaticalized and typical agrammaticalized (conventional in discourse but non-conventional in language) participial and gerundial turns and postpositive object participial turns are distinguished and analyzed. They are defined as synonymic subordinate utterances with implicit-explicit predication with the participial and gerundial head lexemes. The goal of this article is to highlight the semantic-syntactic types of synonymic absolute participial and gerundial turns and of object participial turns and to justify their co(n)textual (linguistic and situational) pertinence. Achieving the goal involves solving such problems as: to establish the structural typologies of the participial and gerundial synonymic discourse innovations; to identify the semantic meanings of the primary and actualized structures; to determine the degree of the co(n)textual pertinence of all the members of the synonymic chain within the functional-semantic macrofield. In this research the method of the inverse (discourse > language) reconstruction of virtual (linguistic) transformational processes and the �alternative� linguistic experiment are used to justify the co(n)textual pertinence of the actualized synonymic structure. The analyzed constructions are defined as one- and two-basis synonymic transforms of the primary subordinate proposition actualized in the form of compressed discourse innovations-preferential options with temporal, causal, hypothetical and explicative semantic meanings. The such structural types of these constructions are distinguished: a) absolute participial and gerundial turns build on the models: S (subject) + P pr / p (participle present / past), P pr / � or (D) (stimulator of identification of referent) S + G pr / p (gerund present / past), G pr / p, G p + S; b) �bject participial turns build on the model P pr / � + C (object). By means of the inverse reconstruction all the members of virtual synonymic chains are identified and the degree of their co(n)textual pertinence is experimentally determined. It is revealed that the author uses the strategies of the simplification or the complication of the information to the recipient according to some pragmatic planning of the narration, his communicative intention or his idiostylistic peculiarities. It is proved that the �alternative� linguistic experiment can fail in the case of the implication of some referents non-exteriorized in either pretext or posttext.

Fast reconstruction of the magnetization of a Halbach magnet in EMAT using experimental measurements

The paper presents a fast and accurate algorithm to reconstruct the magnetization model of parallelepiped magnet (parts of a Halbach magnet array) or the Halbach magnet array used in an electromagnetic acoustic (EMAT) transducer. The model accuracy is validated against measurements of the magnetic flux distributions above surface of block magnets or Halbach magnet array using 2D/3D theoretical formula to compute magnetic flux distribution, validated by 2D/3D FEM simulations, and based on a non-uniform distribution of reconstructed magnetization model (using only main magnetization component). The illness of inverse reconstruction model is controlled through very small enough increments steps in an adaptive iterative algorithm but large enough increments to assure faster reconstruction, and converging to the same magnetization model of magnet blocks or Halbach array magnet, independent of the initial magnetization values.