Canonical Submersion and Lie Homomorphisms Normal Subgroup

2020 ◽  
Vol 23 (1) ◽  
pp. 97-101
Author(s):  
Mikhail Petrichenko ◽  
Dmitry W. Serow
Keyword(s):  
Normal Subgroup ◽  
Canonical System ◽  
System Of Equations ◽  
Core Group ◽  
The Core ◽  
Switch Group

Normal subgroup module f (module over the ring F = [ f ] 1; 2-diffeomorphisms) coincides with the kernel Ker Lf derivations along the field. The core consists of the trivial homomorphism (integrals of the system v = x = f (t; x )) and bundles with zero switch group Lf , obtained from the condition ᐁ( ω × f ) = 0. There is the analog of the Liouville for trivial immersion. In this case, the core group Lf derivations along the field replenished elements V ( z ), such that ᐁz = ω × f. Hence, the core group Lf updated elements helicoid (spiral) bundles, in particular, such that f = ᐁU. System as an example Crocco shown that the canonical system does not permit the trivial embedding: the canonical system of equations are the closure of the class of systems that permit a submersion.

scholarly journals Lessons Learned from the CORE Group Polio Project and Their Relevance for Other Global Health Priorities

2019 ◽  
Vol 101 (4_Suppl) ◽  
pp. 107-112 ◽  
Author(s):  
Henry B. Perry ◽  
Roma Solomon ◽  
Filimona Bisrat ◽  
Lisa Hilmi ◽  
Katherine V. Stamidis ◽  
...  
Keyword(s):  
Global Health ◽  
Lessons Learned ◽  
Health Priorities ◽  
Core Group ◽  
The Core

Hofmann, Hans (1880–1966)

2018 ◽  
Author(s):  
Christa Noel Robbins
Keyword(s):  
New York ◽  
York City ◽  
Abstract Expressionism ◽  
Picture Plane ◽  
Depth Of Field ◽  
New York School ◽  
American Modernism ◽  
Core Group ◽  
The Core ◽  
Clement Greenberg

Hans Hofmann was a German–American painter associated with Abstract Expressionism. Known as much for his paintings as for his role as a teacher, Hofmann moved to New York City in 1932. Much older than the core group of New York School painters, Hofmann acted as a kind of bridge between European and American modernism. Hofmann’s paintings are highly recognizable: they feature large planes of thickly applied, bold color, often interspersed with expressionistic fields of gestural painting. The result, which can be seen in his 1962 painting Memoria in Aeternum, is a dynamic play with depth of field and colour relations. Hofmann referred to this spatial and optical play as the "push–pull" effect, indicating the manner in which areas of a canvas can appear to push back behind the picture plane and pull forward into the viewer’s space, while simultaneously reading as flat surface. The spatial and material relationality introduced through this device influenced a generation of New York painters and critics, both those taught directly by Hofmann and those who learned of his theories through second parties. Hofmann’s students from this period include Lee Krasner, Helen Frankenthaler, Frank Stella, Allan Kaprow and, importantly, Clement Greenberg. Many of their first lessons in modernist painting took place in his school.

Effect of anchor and core sequence in microsatellite primers on flax fingerprinting patterns

2001 ◽  
Vol 137 (1) ◽  
pp. 37-44 ◽  
Author(s):  
I. WIESNER ◽  
D. WIESNEROVÁ ◽  
E. TEJKLOVÁ
Keyword(s):  
Cluster Analysis ◽  
Large Scale ◽  
Annealing Temperature ◽  
Microsatellite Primers ◽  
Microsatellite Data ◽  
Core Group ◽  
The Core ◽  
Polymorphic Bands ◽  
Flax Cultivar ◽  
Pcr Conditions

The aim of this study was to select the best arrangements of MP–PCR (microsatellite-primed PCR) for routine large-scale fingerprinting of flax cultivars. We found optimum PCR conditions for the application of five previously published primers (PCT1–PCT5) to flax cultivar fingerprinting. We modified to optimum MP–PCR which was targeted to flax tetrameric [GATA] microsatellite loci specified by primer PCT6. We found that after a reamplification PCR step was involved we were able to generate highly discriminating fingerprinting patterns, which distinguished all eight flax cultivars individually. In particular primers 3PCT1 and 3PCT2 were promising for future large-scale fingerprinting due to the production of most polymorphic bands. Increasing annealing temperature within a temperature profile helped to generate new polymorphisms within flax microsatellite patterns especially with primer 3PCT2. Using this primer we succeeded in generating new polymorphic bands after increasing annealing temperature from 55 °C to 60 °C, and to 65 °C. A cluster analysis of flax cultivars was performed based on microsatellite data. The core group of eight flax cultivars was clustered into two homogeneous subclusters. A lower level of cultivar clustering within subclusters was not detected.

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