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differentiation
Of special interest are the Mellin operators of differentiation and integration, more correctly of anti-differentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.
      
There are reverse inequalities for square functions of differences arising in ergodic theory and differentiation of functions.
      
Prolate Spheroidal Wavelets: Translation, Convolution, and Differentiation Made Easy
      
We extend the results by Jones and Rosenblatt about the series of the differences of differentiation operators along lacunary sequences to BMO and to the setting of weighted Lp spaces.
      
A nonlinear proportion integration differentiation (PID) controller is proposed on the basis of recurrent neural networks, due to the difficulty of tuning the parameters of conventional PID controller.
      
This paper studies the genetic diversity and differentiation of its nine natural populations in Zhejiang Province by using random amplified polymorphic DNA (RAPD) technique.
      
This figure was generally consistent with that estimated by Shannon index, i.e., the genetic differentiation among populations was relatively high, but that within populations was relatively low.
      
All the results showed that there was a distinct genetic differentiation among H.
      
Intrapopulation variation mainly contributed to morphological variation, and the phenotypic differentiation coefficient was 13.31%, which indicated low level of differentiation.
      
But several characteristics exhibited high differentiation level, such as width of the tooth of leaf base (25.99%) and the middle apical bud (25.23%).
      
First and second order numerical differentiation with Tikhonov regularization
      
This work deals with the numerical differentiation for an unknown smooth function whose data on a given set are available.
      
The numerical differentiation is an ill-posed problem.
      
Genetic Differentiation and Conservation of 14 Surviving Individuals of Euryodendron excelsum Endemic to China
      
A distinct genetic differentiation existed among populations of H.
      
miconioides accounted for 33.58% of the total genetic diversity while the genetic diversity among populations accounted for 66.42% as estimated by the Shannon index of phenotypic diversity, The genetic differentiation among populations of H.
      
The spore germination, protonemal development, and gametophyte differentiation of Hypnum pacleseens were observed in cultivation.
      
pectinatum in Hainan were lacking genetic differentiation.
      
Zinc finger proteins are also involved in multiple cell processes, including proliferation, differentiation and development, by interacting with DNA.
      
The abovementioned characteristics indicated that the genetic diversity levels of these two species were extremely similar and that the interpopulational genetic differentiation within both species was relatively high.
      
 

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