Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equa...Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equation x2+y2=n). Starting from a quadratic form with two variables f(x,y)=ax2+bxy+cy2and n an integer. We have shown that a primitive positive solution (u,v)of the equation f(x,y)=nis admissible if it is obtained in the following way: we take α modulo n such that f(α,1)≡0modn, u is the first of the remainders of Euclid’s algorithm associated with n and α that is less than 4cn/| D |) (possibly α itself) and the equation f(x,y)=n. has an integer solution u in y. At the end of our work, it also appears that the Cornacchia algorithm is good for the form n=ax2+bxy+cy2if all the primitive positive integer solutions of the equation f(x,y)=nare admissible, i.e. computable by the algorithmic process.展开更多
'Nine forms of needles' were the nine kinds of ancientacupuncture tools, Which were made of different stones and met-als in China, firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon o...'Nine forms of needles' were the nine kinds of ancientacupuncture tools, Which were made of different stones and met-als in China, firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon of Internal Medicine(722-221 B.C.). After that, except the filiform needle, the others had beenlost gradually. Fortunately, the eminent clinical acupuncturist inChina, world well-known scholar of acupuncture, director of theInstitute of Shanxi Huaitang Nine Forms of Needles, chief Dr Shihuaitang has developed new nine forms of needles using mordenmedicine, morden science and technologey on the basiss ofstuding on the ancient nine forms of needles, and estabished u-nique new nine forms of needles therapies. These therapies haveextended the indications of acupuncture and improved the thera-peutic effect.展开更多
"Nine forms of needles"were the nine kinds of ancientacupuncture tools,which were made of different stones and met-als in China,firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon of..."Nine forms of needles"were the nine kinds of ancientacupuncture tools,which were made of different stones and met-als in China,firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon of Internal Medicine(722-221 B.C.).After that,except the filiform needle,the others had beenlost gradually.Fortunately,the eminent clinical acupuncturist inChina,world well-known scholar of acupuncture,director of theInstitute of Shanxi Huaitang Nine Forms of Needles,chief Dr Shihuaitang has developed new nine forms of needles using mordenmedicine,morden science and technologey on the basiss ofstuding on the ancient nine forms of needles,and estabished u-nique new nine forms of needles therapies.These therapies展开更多
This paper deals with scholarly writing and a testing and experimental review of its related conventions. The author applies to her review of the subject a theoretical stimulus that returns to the starting point of H6...This paper deals with scholarly writing and a testing and experimental review of its related conventions. The author applies to her review of the subject a theoretical stimulus that returns to the starting point of H616ne Cixous＇ （2008） post-structuralism and Maurice Merleau-Ponty＇s （2012） phenomenology of the body. The author becomes open to meditation on the topic as a bodily soothsayer redeeming permission for creative scholarly writing using the intuitively associative method and style of writing which she has developed. The author suggests that a theoretical starting point located in post-structuralism and the phenomenology of the body offers the possibility to equate creative scholarly writing with painting. The aim of this paper is to start from post-structuralism and the phenomenology of the body and to conceive a new method of understanding and adapting creative scholarly writing, while the author allows herself to perceive and write in her intuitively associative style.展开更多
文摘Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equation x2+y2=n). Starting from a quadratic form with two variables f(x,y)=ax2+bxy+cy2and n an integer. We have shown that a primitive positive solution (u,v)of the equation f(x,y)=nis admissible if it is obtained in the following way: we take α modulo n such that f(α,1)≡0modn, u is the first of the remainders of Euclid’s algorithm associated with n and α that is less than 4cn/| D |) (possibly α itself) and the equation f(x,y)=n. has an integer solution u in y. At the end of our work, it also appears that the Cornacchia algorithm is good for the form n=ax2+bxy+cy2if all the primitive positive integer solutions of the equation f(x,y)=nare admissible, i.e. computable by the algorithmic process.
文摘'Nine forms of needles' were the nine kinds of ancientacupuncture tools, Which were made of different stones and met-als in China, firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon of Internal Medicine(722-221 B.C.). After that, except the filiform needle, the others had beenlost gradually. Fortunately, the eminent clinical acupuncturist inChina, world well-known scholar of acupuncture, director of theInstitute of Shanxi Huaitang Nine Forms of Needles, chief Dr Shihuaitang has developed new nine forms of needles using mordenmedicine, morden science and technologey on the basiss ofstuding on the ancient nine forms of needles, and estabished u-nique new nine forms of needles therapies. These therapies haveextended the indications of acupuncture and improved the thera-peutic effect.
文摘"Nine forms of needles"were the nine kinds of ancientacupuncture tools,which were made of different stones and met-als in China,firstly recorded in the anctient monumental work,The Yellow Emperor’s Canon of Internal Medicine(722-221 B.C.).After that,except the filiform needle,the others had beenlost gradually.Fortunately,the eminent clinical acupuncturist inChina,world well-known scholar of acupuncture,director of theInstitute of Shanxi Huaitang Nine Forms of Needles,chief Dr Shihuaitang has developed new nine forms of needles using mordenmedicine,morden science and technologey on the basiss ofstuding on the ancient nine forms of needles,and estabished u-nique new nine forms of needles therapies.These therapies
文摘This paper deals with scholarly writing and a testing and experimental review of its related conventions. The author applies to her review of the subject a theoretical stimulus that returns to the starting point of H616ne Cixous＇ （2008） post-structuralism and Maurice Merleau-Ponty＇s （2012） phenomenology of the body. The author becomes open to meditation on the topic as a bodily soothsayer redeeming permission for creative scholarly writing using the intuitively associative method and style of writing which she has developed. The author suggests that a theoretical starting point located in post-structuralism and the phenomenology of the body offers the possibility to equate creative scholarly writing with painting. The aim of this paper is to start from post-structuralism and the phenomenology of the body and to conceive a new method of understanding and adapting creative scholarly writing, while the author allows herself to perceive and write in her intuitively associative style.
