FILL-IN-THE-BLANK: A manipulator is ___________if all the sets of joint variables can be found corresponding to a given end-effector location.

A manipulator is "configurable" if all the sets of joint variables can be found corresponding to a given end-effector location.

In robotics, a manipulator's configurability relates to its ability to achieve a desired position and orientation of its end effector through various joint configurations. If a manipulator is configurable, it means that there are multiple joint configurations (joint variables) that can achieve the same end-effector position in space. This is important in applications where the robot may need to avoid obstacles or perform tasks from different angles or approaches, thus making it more versatile in its operations. Configurable manipulators can provide flexibility in tasks that require precision and adaptability.