The author presents a new approach which is used to solve an important Diophantine problem. An elementary argument is used to furnish another fully transparent proof of Fermat’s Last Theorem. This was first stated by...The author presents a new approach which is used to solve an important Diophantine problem. An elementary argument is used to furnish another fully transparent proof of Fermat’s Last Theorem. This was first stated by Pierre de Fermat in the seventeenth century. It is widely regarded that no elementary proof of this theorem exists. The author provides evidence to dispel this belief.展开更多
A new method of embedding and detecting a joint watermarking is proposed. Itapplies the asmuth-bloom secret sharing scheme, which is based on CRT (Chinese remainder theorem)theorem, to the digital watermarking technol...A new method of embedding and detecting a joint watermarking is proposed. Itapplies the asmuth-bloom secret sharing scheme, which is based on CRT (Chinese remainder theorem)theorem, to the digital watermarking technology. On the base of describing the watermarkingembedding proceeding and analyzing the watermarking detection proceeding, a series of experiments isdone. The experiments emphasize on the method's robust proving and security analysis. And theexperiments show that the method can resistthe attacks of JPEG compress, geometry, noise and grayadjusting. The results of the experiments show that the method has a nice recognition of copyrightfor joint ownership.展开更多
1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint o...1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint operator-d~2/dt~2+1+t~2 in L~2(R).展开更多
This article presents a brief and new solution to the problem known as the “Fermat’s Last Theorem”. It is achieved without the use of abstract algebra elements or elements from other fields of modern mathematics of...This article presents a brief and new solution to the problem known as the “Fermat’s Last Theorem”. It is achieved without the use of abstract algebra elements or elements from other fields of modern mathematics of the twentieth century. For this reason it can be easily understood by any mathematician or by anyone who knows basic mathematics. The important thing is that the above “theorem” is generalized. Thus, this generalization is essentially a new theorem in the field of number theory.展开更多
Using the same method that we used in [1] to prove Fermat’s Last Theorem in a simpler and truly marvellous way, we demonstrate that Beal’s Conjecture yields—in the simplest imaginable manner, to our effort to prove...Using the same method that we used in [1] to prove Fermat’s Last Theorem in a simpler and truly marvellous way, we demonstrate that Beal’s Conjecture yields—in the simplest imaginable manner, to our effort to prove it.展开更多
For a long time,it has been something of a mystery why,in Joseph Needham’s third volume of Science and Civilisation in China,a translation by Arnold Koslow of a proof of the Pythagorean Theorem was published,together...For a long time,it has been something of a mystery why,in Joseph Needham’s third volume of Science and Civilisation in China,a translation by Arnold Koslow of a proof of the Pythagorean Theorem was published,together with an inappropriate diagram indicating how that proof proceeded.The story of the origin of the translation,accompanied by the irrelevant diagram,is here recounted by the author of both items,along with the translation accompanied by the appropriate missing diagram for the proof,which was intended for publication but never made it.展开更多
文摘The author presents a new approach which is used to solve an important Diophantine problem. An elementary argument is used to furnish another fully transparent proof of Fermat’s Last Theorem. This was first stated by Pierre de Fermat in the seventeenth century. It is widely regarded that no elementary proof of this theorem exists. The author provides evidence to dispel this belief.
文摘A new method of embedding and detecting a joint watermarking is proposed. Itapplies the asmuth-bloom secret sharing scheme, which is based on CRT (Chinese remainder theorem)theorem, to the digital watermarking technology. On the base of describing the watermarkingembedding proceeding and analyzing the watermarking detection proceeding, a series of experiments isdone. The experiments emphasize on the method's robust proving and security analysis. And theexperiments show that the method can resistthe attacks of JPEG compress, geometry, noise and grayadjusting. The results of the experiments show that the method has a nice recognition of copyrightfor joint ownership.
基金Work supported by National Natural Science Foundation of China.
文摘1. Introduction Now we recall some basic notions and results in whitenoise analysis. Let S (R) (reop. S’ (R)) denote the Sehwarz space of test functions (rosp. tempered distributions). Let A denoto tho self-adjoint operator-d~2/dt~2+1+t~2 in L~2(R).
文摘This article presents a brief and new solution to the problem known as the “Fermat’s Last Theorem”. It is achieved without the use of abstract algebra elements or elements from other fields of modern mathematics of the twentieth century. For this reason it can be easily understood by any mathematician or by anyone who knows basic mathematics. The important thing is that the above “theorem” is generalized. Thus, this generalization is essentially a new theorem in the field of number theory.
文摘Using the same method that we used in [1] to prove Fermat’s Last Theorem in a simpler and truly marvellous way, we demonstrate that Beal’s Conjecture yields—in the simplest imaginable manner, to our effort to prove it.
文摘For a long time,it has been something of a mystery why,in Joseph Needham’s third volume of Science and Civilisation in China,a translation by Arnold Koslow of a proof of the Pythagorean Theorem was published,together with an inappropriate diagram indicating how that proof proceeded.The story of the origin of the translation,accompanied by the irrelevant diagram,is here recounted by the author of both items,along with the translation accompanied by the appropriate missing diagram for the proof,which was intended for publication but never made it.
