In this paper,four kinds of integral equations of convolution type are solved,in which the reflection occurs,that is,besides the unknown f(t),f(-t)is also appeared.Moreover,it is mentioned that the methods or solution...In this paper,four kinds of integral equations of convolution type are solved,in which the reflection occurs,that is,besides the unknown f(t),f(-t)is also appeared.Moreover,it is mentioned that the methods or solution for two of them are still effective when translation shifts,i.e.,f(t+lambda(j))or/and f(-t-mu(j)),occur in addition.展开更多
In this paper,some kinds of singular integral equations of convolution type with reflection and translation shift are discussed and they are turned into Riemann boundary value problems with both discontinuous coeffici...In this paper,some kinds of singular integral equations of convolution type with reflection and translation shift are discussed and they are turned into Riemann boundary value problems with both discontinuous coefficients and reflection by using the Fourier transform.In spite of the classical method for solution,we are to give another method,therefore the general solution and condition of solvability are obtained in class{0}.展开更多
National Fire codes,mandated by government authorities to tackle technical challenges in fire prevention and control,establish fundamental standards for construction practices.International collaboration in fire prote...National Fire codes,mandated by government authorities to tackle technical challenges in fire prevention and control,establish fundamental standards for construction practices.International collaboration in fire protection technologies has opened avenues for China to access a wealth of documents and codes,which are crucial in crafting regulations and developing a robust,scientific framework for fire code formulation.However,the translation of these codes into Chinese has been inadequate,thereby diminishing the benefits of technological exchange and collaborative learning.This underscores the necessity for comprehensive research into code translation,striving for higher-quality translations guided by established translation theories.In this study,we translated the initial segment of the NFPA 1 Fire Code into Chinese and examined both the source text and target text through the lens of Translation Shift Theory,a concept introduced by Catford.The conclusion culminated in identifying four key shifts across various linguistic levels:lexis,sentences,and groups,to ensure an accurate and precise translation of fire codes.This study offers a through and lucid explanation of how the translator integrates Catford’s theories to solve technical challenges in NFPA 1 Fire Code translation,and establish essential standards for construction translation practices.展开更多
In this paper, two kinds of convolution integral equations with both Cauchy kernel and reflection are discussed. Using Fourier transformation theory they can be transformed into Riemann boundary value problems with bo...In this paper, two kinds of convolution integral equations with both Cauchy kernel and reflection are discussed. Using Fourier transformation theory they can be transformed into Riemann boundary value problems with both discontinuous coefficients and reflection. And we give a new method, by which the general solution and the condition of solvability are obtained respectively.展开更多
基金supported by the National Natural Science Foundation of China.
文摘In this paper,four kinds of integral equations of convolution type are solved,in which the reflection occurs,that is,besides the unknown f(t),f(-t)is also appeared.Moreover,it is mentioned that the methods or solution for two of them are still effective when translation shifts,i.e.,f(t+lambda(j))or/and f(-t-mu(j)),occur in addition.
基金Supported by the Qufu Normal University Youth Fund(XJ201218)
文摘In this paper,some kinds of singular integral equations of convolution type with reflection and translation shift are discussed and they are turned into Riemann boundary value problems with both discontinuous coefficients and reflection by using the Fourier transform.In spite of the classical method for solution,we are to give another method,therefore the general solution and condition of solvability are obtained in class{0}.
基金Hangzhou Philosophy and Social Science Planning Program(24JD15)。
文摘National Fire codes,mandated by government authorities to tackle technical challenges in fire prevention and control,establish fundamental standards for construction practices.International collaboration in fire protection technologies has opened avenues for China to access a wealth of documents and codes,which are crucial in crafting regulations and developing a robust,scientific framework for fire code formulation.However,the translation of these codes into Chinese has been inadequate,thereby diminishing the benefits of technological exchange and collaborative learning.This underscores the necessity for comprehensive research into code translation,striving for higher-quality translations guided by established translation theories.In this study,we translated the initial segment of the NFPA 1 Fire Code into Chinese and examined both the source text and target text through the lens of Translation Shift Theory,a concept introduced by Catford.The conclusion culminated in identifying four key shifts across various linguistic levels:lexis,sentences,and groups,to ensure an accurate and precise translation of fire codes.This study offers a through and lucid explanation of how the translator integrates Catford’s theories to solve technical challenges in NFPA 1 Fire Code translation,and establish essential standards for construction translation practices.
文摘In this paper, two kinds of convolution integral equations with both Cauchy kernel and reflection are discussed. Using Fourier transformation theory they can be transformed into Riemann boundary value problems with both discontinuous coefficients and reflection. And we give a new method, by which the general solution and the condition of solvability are obtained respectively.
