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growth regularity
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  growth regularity
Growth regularity for analytic functions with maximum modulus on a ray
      
For a function with real zeros, we write the growth regularity conditions (on the real axis and on the entire plane) in terms of lower bounds only for the absolute value of the derivative at the points λk.
      
One proves that if Dp* ? DS, where S is the multiplication operator by the function s(x), satisfying some growth regularity condition, then DQ? DS.
      
In this note the separation of P[·] is proved for some growth regularity conditions on the fonction q (x), without assuming anything on its smoothness.
      
As an example, we report on our research work on acetone isomerization and aggregation to give an insight into the reaction pathways, the products and their structures, and the growth regularity of aggregation.
      


The paper reports the composition of fishes and growth regularity of Siver carp (Hypophthalmichthys molitrix) and Bighead (Aristichthys nobilis). There are twenty six fish specieses from nine families in the reservoir, among which belong to cyprinidae make up sixty two percent. After being artificial stocked, silver carp and bighead carp take up dominant position, about 80% of the total fish production. The interrelative formula between the body length (L) and weight (W) of silver carp and bighead...

The paper reports the composition of fishes and growth regularity of Siver carp (Hypophthalmichthys molitrix) and Bighead (Aristichthys nobilis). There are twenty six fish specieses from nine families in the reservoir, among which belong to cyprinidae make up sixty two percent. After being artificial stocked, silver carp and bighead carp take up dominant position, about 80% of the total fish production. The interrelative formula between the body length (L) and weight (W) of silver carp and bighead carp are Log W H=2.9658Log L-1.6788, Log W A=3.1254LogL-1.9245 respectively. Using von Bertatanffy growth formula to caculate growth parameter, the result is L ∞(H) =136.5cm, L ∞(A) =161.9cm; W ∞(H) =45034g, W ∞(A) =95240g; K (H) =0.0969, K (A) =0.0802; t 0 (H) =-0.1336, t 0(A) =-0.2293. The weight at growth inflection point is respecatively 13336g (0.296 W ∞(H) ) and 28324g (0.30 W ∞(A) ). The highest growth target is from one to seven ages.

蛤蟆通水库的鱼类区系组成现有鱼类9科26种,其中鲤科鱼类占62%。实行人工放养后鲢、鳙占优势,年产量占总渔获量的80%以上。鲢、鳙的体长(L)与体重(W)相关关系式分别为LogwH=2.9658LogL-1.6788、LogwA=3.1254LogL-1.9245。同时应用vonBertalanfy生长方程[2]计算鲢、鳙的生长参数为:L∞(H)=136.5cm,L∞(A)=161.9cm;W∞(H)=45034g,W∞(A)=95240g;K(H)=0.0969,K(A)=0.0802;t0(H)=-0.1336,t0(A)=-0.2293。生长拐点处的体重分别是13336g(0.296W∞(H)和)28324g(0.30W∞(A))

The growth regularity of silver carp(Hypophthalmichthys molitrix)and bighead carp(aristichthys nobilis)in Mengjiaduan reservoir was reported in this paper.The interrelative formula between the body length(L) and weight(W) of silver carp and bighead carp are W H=0.035 2L 2.862 0 H和W A=0.079 4L 2.691 2 A respectively.Their von Bertatanffy growth formula are L H=75.576 5〔1-e -0.154 4(t+0.398 2)〕,W H=8 482.15〔1-e -0.154 4(t+0.398 2)〕 2.862 0,L A=80.961 0 〔1-e -0.161 1(t+0.779...

The growth regularity of silver carp(Hypophthalmichthys molitrix)and bighead carp(aristichthys nobilis)in Mengjiaduan reservoir was reported in this paper.The interrelative formula between the body length(L) and weight(W) of silver carp and bighead carp are W H=0.035 2L 2.862 0 H和W A=0.079 4L 2.691 2 A respectively.Their von Bertatanffy growth formula are L H=75.576 5〔1-e -0.154 4(t+0.398 2)〕,W H=8 482.15〔1-e -0.154 4(t+0.398 2)〕 2.862 0,L A=80.961 0 〔1-e -0.161 1(t+0.779 4)〕 and W (A)=10 848.58 〔1-e 0.161 1(t+0.779 4)〕 2.691 2 respectively.Using von Bertatanffy growth formula to calculate growth parameter,the result is L ∞(H)=75.576 5 cm,W ∞(H)=8 482.15 g,L ∞(A)=80.961 0 cm,W ∞(A)=10 848.58 g,K H=-0.154 4,K A=-0.161 1;t 0(H)=0.398 2,t 0(A)=0.779 4.The weight at growth inflection point is respectively 6.41(2 478,14 g or 0.292 W ∞(H)) and 5.37(3 107.60 g or 0.286 W ∞(A)).The highest growth target is from one to six and five ages.

孟家段水库的主要养殖鱼类鲢鱼和鳙鱼的体长 (L)和体重 (W)的关系分别为WH=0 0 35 2L2 862 0H 和WA=0 0 794L2 6912A ,该库的鲢鱼体长和体重的VonBertalanffy方程分别为 :LH=75 5 76 5〔1-e-0 154 4(t+ 0 3 982 ) 〕 ,WH=8482 15〔1-e-0 154 4(t+ 0 3 982 ) 〕2 862 0 ;鳙鱼体长和体重的VonBertalanffy方程分别为 :LA=80 96 10〔1-e-0 1611(t+ 0 7794 ) 〕 ,WA=10 848 5 8〔1-e-0 1611(t+ 0 7794 ) 〕2 6912 .并根据此方程计算出其生长速度和生长加速度的方程 .该库鲢、鳙的生长参数为 :L∞ (H) =75 5 76 5cm ,W∞ (H) =8482 15g ,L∞ (A) =80 96 10cm ,W∞ (A) =10848 5 8g ,KH=- 0 15 44 ,KA=- 0 16 11;t0 (H) =0 3982 ,t0 (A)...

孟家段水库的主要养殖鱼类鲢鱼和鳙鱼的体长 (L)和体重 (W)的关系分别为WH=0 0 35 2L2 862 0H 和WA=0 0 794L2 6912A ,该库的鲢鱼体长和体重的VonBertalanffy方程分别为 :LH=75 5 76 5〔1-e-0 154 4(t+ 0 3 982 ) 〕 ,WH=8482 15〔1-e-0 154 4(t+ 0 3 982 ) 〕2 862 0 ;鳙鱼体长和体重的VonBertalanffy方程分别为 :LA=80 96 10〔1-e-0 1611(t+ 0 7794 ) 〕 ,WA=10 848 5 8〔1-e-0 1611(t+ 0 7794 ) 〕2 6912 .并根据此方程计算出其生长速度和生长加速度的方程 .该库鲢、鳙的生长参数为 :L∞ (H) =75 5 76 5cm ,W∞ (H) =8482 15g ,L∞ (A) =80 96 10cm ,W∞ (A) =10848 5 8g ,KH=- 0 15 44 ,KA=- 0 16 11;t0 (H) =0 3982 ,t0 (A) =0 7794;生长拐点分别为 2 478 14g(0 2 92W∞ (H) )和 310 7 6 0g(0 2 86W∞ (A) ) .比较几个不同纬度水体同种鱼类的vovBertalanffy方程的系数可知其生长速度较为缓慢 .

 
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