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A formula for Maxwellian-Averaged Cross-Sections (MACS) at 30keV is derived. Based on the presented formula, a linear relationship was found between the log $(\frac{\mathrm{\text{MACS}}}{A^{1.4}})$ and $\frac{{(N-Z)}^2}{A^2}$ of the target nucleus. From this relationship, a good agreement between the calculated MACS and the experimental data can be observed. It seems therefore possible to use this systematic law in order to analyze the experimental data. It would be useful in estimating the MACS of neighboring isotopes for which no experimental data are available.

A set $C$ of operations defined on a nonempty set $A$ is said to be a clone if $C$ is closed under composition of operations and contains all projection mappings. The concept of a clone belongs to the algebraic main concepts and has important applications in Computer Science. A clone can also be regarded as a many-sorted algebra where the sorts are the $n$-ary operations defined on set $A$ for all natural numbers $n\ge 1$ and the operations are the so-called superposition operations $S_m^n$ for natural numbers $m,n\ge 1$ and the projection operations as nullary operations. Clones generalize monoids of transformations defined on set $A$ and satisfy three clone axioms. The most important axiom is the superassociative law, a generalization of the associative law. If the superposition operations are partial, i.e. not everywhere defined, instead of the many-sorted clone algebra, one obtains partial many-sorted algebras, the partial clones. Linear terms, linear tree languages or linear formulas form partial clones. In this paper, we give a survey on partial clones and their properties.

There are two different concepts for hypersubstitutions for algebraic systems [K. Denecke and D. Phusanga, Hyperformulas and solid algebraic systems, Studia Logica 90(2) (2008) 263–286; J. Koppitz and D. Phusanga, The monoid of hypersubstitutions for algebraic systems, J. Announcements Union Sci. Sliven 33(1) (2018) 120–127]. In this paper, we follow the more natural and practicable one given in [J. Koppitz and D. Phusanga, The monoid of hypersubstitutions for algebraic systems, J. Announcements Union Sci. Sliven 33(1) (2018) 120–127]. On the other hand, in [S. Leeratanavalee and K. Denecke, Generalized hypersubstitutions and strongly solid varieties, General Algebra and Applications, Proc. of 59th Workshop on General Algebra; 15th Conf. for Young Algebraists Potsdam 2000 (Shaker Verlag, 2000), pp. 135–145], the concept of the monoid of generalized hypersubstitutions was introduced. Following both ideas, one obtains the concept of a monoid of generalized hypersubstitutions for algebraic systems in a canonical way. The purpose of this paper is the study of the monoid of generalized hypersubstitutions for algebraic systems. We characterize the idempotent as well as regular elements in this monoid.

Penaeus vannamei has high nutrition health care value, but the less processed into new product categories. In recent years,puffed food is a popular snack food among people, It can improve the nutritional value of puffed food to put fresh Penaeus vannamei into the puffed food. This paper studied the product formula, and product expansion rate,quality and structure, the sensory score, scanning electron microscopy observations as an index. By single factor experiment, firstiy, find out the suitable range of shrimp, corn starch, cassava modified starch and wheat flour suitable range, and then find out the best formula by the response surface analysis. The formula is 40% of shrimp, 15% of wheat flour, 10% of cassava modified starch, 35% of corn starch. This obtained products is crispy, fragrant and nutrient-rich.