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- of the orientation component of the Jacobian - 3 x n for Euler angles, 9 x n for direction cosines, 4 x n for Euler parameters or equivalent axis parameters, where n is the number of degrees of freedom of the mechanism. 4.3 Basic Jacobian We will introduce a unique Jacobian that is associated with the motion 0,£ the mechanism.
- solve the inverse kinemtics. The analytic method and Jacobian method are well-known. In the project I used the analytic method. In the thesis aplication, I designed a prototype robot arm with 3 freedom degrees. User interface application was created in the personal computer and the data was sended the

- Flux Calculator The lab has developed online calculators that allow for the direct testing of mechanistic hypotheses by calculating the steady-state transcript flux in the presence and absence of a factor as a function of initiation rate constants.
- So, if you have, say 46 joints, you would indeed get a Jacobian with 46 columns and 6 rows (or 3, if you neglect the end effector's orientation). Long story short: you can apply that formula for any number of joints and don't have to "combine" it with other joints. $\endgroup$ – Daniel Eberts Nov 26 '12 at 11:36
- calculation of the Jacobian matrix and its inverse, we introduce the pseudo-Jacobian matrix. By using this new concept, the general nonlinear system of equations without limitation of polynomial-only problems is encompassed in this work. The proposed pseudo-Jacobian matrix is used for stability analysis of nonlinear initial value problems.