We describe a functional method to obtain the exact evolution equation of the effective action with a parameter of the bare theory. When this parameter happens to be the bare mass of the scalar field, we find a functional generalization of the Callan-Symanzik equations. Another possibility is when this parameter is the Planck constant and controls the amplitude of the fluctuations. We show the ...

TRIZ is used to resolve invention problems. ARIZ is the most powerful systematic method which integrates all of TRIZ heuristics. Definition of ideal final result (IFR), identification of contradictions and resource utilization are main lines of ARIZ. But resource searching of ARIZ has fault of blindness. Alexandr sets up mathematical model of transformation of the hereditary information in an i...

The paper presents two examples of non-traditional uses of program specialization by Turchin’s supercompilation method. In both cases we are interested in syntactical properties of residual programs produced by supercompilation. In the first example we apply supercompilation to a program encoding a word equation and as a result we obtain a program representing a graph describing the solution se...

ALEXANDER PUSHKIN,1 KAY-PONG YIP,3 IMRAN CLARK,2 NATALIA ABULADZE,1 TAE-HWAN KWON,6 SHUICHI TSURUOKA,4 GEORGE J. SCHWARTZ,5 SØREN NIELSEN,6 AND IRA KURTZ1 1Division of Nephrology and 2Department of Biological Chemistry, University of California at Los Angeles, School of Medicine, Los Angeles, California 90095; 3Department of Physiology and Biophysics, School of Medicine, University of South Flo...

The paper presents two examples of non-traditional using of program specialization by Turchin’s supercompilation method. In both cases we are interested in syntactical properties of residual programs produced by supercompilation. In the first example we apply supercompilation to a program encoding a word equation and as a result we obtain a program representing a graph describing the solution s...

Alexandr I. Cocemasov,1 Denis L. Nika,1,2,* and Alexander A. Balandin2,3,† 1E. Pokatilov Laboratory of Physics and Engineering of Nanomaterials, Department of Theoretical Physics, Moldova State University, Chisinau, MD-2009, Republic of Moldova 2Nano-Device Laboratory, Department of Electrical Engineering, Bourns College of Engineering, University of California–Riverside, Riverside, California ...