As gradients of this quantity tend to zero, the Green–Lagrange tensor and Euler tensor are approximately equal. This quantity is the partial derivative of capital U with respect to Q-sub-i, a fact that is used in Castigliano’s method for finding this quantity. Subtracting the identity matrix from the deformation gradient tensor gives a tensor named for this quantity that is assumed to be negligible in infinitesimal (-5[1])strain theory. Forms of this quantity for a rigid body are related by Chasles’s (“shahl’s”) theorem (-5[1])to a screw type of this quantity. Lagrange’s (-5[1])equation states the following: [read slowly] the partial of L with respect to this quantity equals d-by-dt of (10[1])the partial of L with respect (10[2])to this-quantity-dot.” If acceleration (10[1])is constant, (10[1]-5[1])this quantity equals “v-t (10[7]-5[3])plus one-half-a-t-squared.” For (10[1])10 points, (10[2])what quantity (-5[1])is the vector analogue (10[1])of (10[5])distance? ■END■