multiplication theorem 中文意思是什麼

multiplication theorem 解釋
乘法定理
  • multiplication : n. 增加,增殖；倍增；【數學】乘法；乘法運算。
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. We detailed toeplitz operator with unomodular symbol, and generated the theorem proved by michael sand in [ 2 ] from h to h + c ( t ). in the second part of this paper, the author discussed simply when multipliction of two toeplitz operators with symbol in h + c ( t ) or in l. we got two conclusions by analyzing symbol of toeplitz operators. the last, we investigated whether multiplication of two toeplitz operators, which range included all non - cyclic vectors of backward shift, is surjective, and partly answered the question about surjective toeplitz algebra posed by michael sand in [ 2 ]

    對于單個的toeplitz運算元，考慮其符號的內外分解，得到了它的滿射只與其幺模部分有關的結論，詳細地討論了符號為幺摸函數的toeplitz運算元的各種情況，在討論符號在h ~的特殊情形時，推廣michaelsand [ 2 ]中的定理2到h ~ + c （ t ） ，第二部分簡單地討論了符號在h ~ + c （ t ）以及l ~中的兩個toeplitz運算元的乘積的滿射情況，先對toeplitz運算元的符號進行分析得到兩個結論，最後考察了toeplitz運算元的乘積的值域包含后移運算元的所有非循環向量的滿射情況，部分地回答了michaelsand在[ 2 ]中提出的toeplitz代數滿射問題。
  2. The author mainly realized the method of generating the large random numbers and judging the prime number using lehmann means, then three pairs of secure key with different lengths ( 256 bits, 512 bits, 1024 bits ) was generated to meet the demand of different security grade. in encryption module, modular multiplication arithmetic of large number was realized adopting addition chaining. in decryption module, extended euclid was used to get inverse, and the chinese remainder theorem was used to realize decryption, which increased the speed of decryption greatly

    作者主要實現了大隨機數的生成、採用整除小素數和勒曼測試法判定素數，可以生成三種不同長度的密鑰對（ 256位、 512位、 1024位）來滿足不同的加密安全等級的需求；加密模塊中，選用了二進制序列的乘法方法，實現了大數模冪乘運算；解密模塊中，引用了擴展的歐幾里德法求逆元，並採用中國剩餘定理實現解密過程，大大提高了解密速度。
  3. Using a multiplexer - based method, the datapath of the multiplier is reconfigurable to perform either one 1024 - bit - multiplication or two 512 - bit multiplications in parallel. the chinese remainder theorem increases the decryption data rate by a factor of 3. 8

    數據通路的設計採用一種基於多選器的動態重構方法，其模乘法器可以執行一個1024位的模乘冪運算，也可以并行執行2個512位的模乘冪運算，從而支持基於中國剩餘定理的加速策略。
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