Embodiments of a repeater environment can be operative to deploy a feedback cancellation loop that is adaptively coupled with an antenna array such that a selected metric can be applied to the antenna array and feedback cancellation loop combination to improve signal integrity and amplification. The expandable and contractible feature allows for a stylus that contracts to fit into a stylus holder in a small handheld device and expands to facilitate its removal from a device and to fit more comfortably in a user’s hand. An operation time display section sealed in the case extends from the sealing resin at the opening of the case. The support forms a shield from both external EMIRFI and from interference generated by operation of the power electronic circuits. Additional apparatus, systems, and methods are disclosed. The value of critical dimensions of dies can be obtained from the scanned image with lower resolution which is obtained by relatively higher scanning speed, so the above-mentioned method can obtain value of CD for every die within entire wafer to monitor the uniformity of the semiconductor manufacturing process within an acceptable inspection time.