No.

Type

A B

Functions

1

I I

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{i}{I}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left(\frac{I-i}{I}{x}_i^B\right)\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

2

I II

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{i}{I}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{I-i}{I}\right)}^2{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

3

I III

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{i}{I}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[\frac{2I\left(I-i\right)-{\left(I-i\right)}^2}{I^2}{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

4

II I

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{i}{I}\right)}^2{x}_i^A\right]}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left(\frac{I-i}{I}{x}_i^B\right)\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

5

II II

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{i}{I}\right)}^2{x}_i^A\right]}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{I-i}{I}\right)}^2{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

6

II III

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{i}{I}\right)}^2{x}_i^A\right]}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[\frac{2I\left(I-i\right)-{\left(I-i\right)}^2}{I^2}{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

7

III I

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{2Ii-i^2}{I^2}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left(\frac{I-i}{I}{x}_i^B\right)\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

8

III II

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{2Ii-i^2}{I^2}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[{\left(\frac{I-i}{I}\right)}^2{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$

9

III III

$q\left(x,T,\sigma \right)=x_A{q}_0^A\left(T\right)+x_B{q}_I^B\left(T\right)+{\displaystyle \sum _{i=0}^I\left(\frac{2Ii-i^2}{I^2}{x}_i^A\right)}\left(q_I^A\left(T\right)-q_0^A\left(T\right)\right)+{\displaystyle \sum _{i=0}^I\left[\frac{2I\left(I-i\right)-{\left(I-i\right)}^2}{I^2}{x}_i^B\right]\left(q_0^B\left(T\right)-q_I^B\left(T\right)\right)}$