Use of mathematical formalism for determining the neutron spectrum of a reactor with respect to the detector activity

1969 ◽  
Vol 26 (1) ◽  
pp. 66-67
Author(s):  
N. V. Zinov'ev
2014 ◽  
Vol 4 ◽  
pp. 665-669 ◽  
Author(s):  
Shigetaka Maeda ◽  
Chikara Ito ◽  
Kohei Ishihara ◽  
Keisuke Takagi ◽  
Haruna Minato ◽  
...  

Author(s):  
Andrea Henderson

Victorian England witnessed a reconception of mathematics as a formal rather than a referential practice—as a means for describing relationships rather than quantities. The value of a mathematical claim lay not in its capacity to describe the world but its internal coherence. Victorian mathematics thus contributed to the development of liberal capitalism by justifying abstraction: liberals proclaimed that formal consistency was the foundation of a rational, equitable order, and marginalist economists insisted that value was not inherent but relational, and made economics a branch of mathematics. Marx, meanwhile, profited from the insights of mathematical formalism even as he resisted its mystification. In its privileging of formal relationships Victorian mathematics redefined all fields around it, even redefining Kantian formalism such that mathematics and art came to share the same virtues: they couldn’t claim to offer truths about the world itself but they insisted that they told a deeper, formal truth.


2021 ◽  
Vol 134 ◽  
pp. 103688
Author(s):  
Ihsan Farouki ◽  
Rashdan Malkawi ◽  
Sayel Marashdeh

2021 ◽  
pp. 174569162097476
Author(s):  
Danielle J. Navarro

It is commonplace, when discussing the subject of psychological theory, to write articles from the assumption that psychology differs from the physical sciences in that we have no theories that would support cumulative, incremental science. In this brief article I discuss one counterexample: Shepard’s law of generalization and the various Bayesian extensions that it inspired over the past 3 decades. Using Shepard’s law as a running example, I argue that psychological theory building is not a statistical problem, mathematical formalism is beneficial to theory, measurement and theory have a complex relationship, rewriting old theory can yield new insights, and theory growth can drive empirical work. Although I generally suggest that the tools of mathematical psychology are valuable to psychological theorists, I also comment on some limitations to this approach.


1961 ◽  
Vol 123 (6) ◽  
pp. 2140-2142 ◽  
Author(s):  
A. B. Smith ◽  
R. K. Sjoblom ◽  
J. H. Roberts

Author(s):  
Wang SanBing ◽  
Xie Qilin ◽  
He ChaoHui

The previous research showed that the application of burnable poison was helpful to improve the criticality safety of space nuclear reactor (SNR). In order to analyze the worth of burnable poison in the SNR’s design, a model of homogeneous reactor had firstly been built based on the design of SAFE400. Comparing its difference with the real design of SAFE400 through criticality calculation, the precise of our model had been verified. Then the influence of the criticality parameters and immersion accident character parameters for this model had been analyzed for the application of the different burnable poisons (such as samarium, europium or gadolinium). The calculation results had shown that the application of the most of the burnable poisons would soften the neutron spectrum and induced a decrement of reactor’s keff in the beginning of life. However, the immersion accident analysis gave out another result that only the reactor using gadolinium could ensure the criticality safety of reactor after it made its initial keff equal with the design value. Meanwhile, compared with the initial design of SAFE400, in one hand, the burn-up results had shown that the decrement of homogeneous reactor’s reactivity using gadolinium as burnable poison was deceased after the 10 years full power operation; in other hand, its neutron spectrum became more softer with the operation time; and what’s more important, the amount of the burnable poison was not decreased with burn-up during its service life-time. These results implied that the application of the burnable poison (especially for gadolinium) could highly ensure the criticality safety and stable operation of SNR.


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