Abstract: A method for constructing an n-qubit fault tolerant encode for any k-qubit quantum gate M, in any given quantum code [n, k, C], comprising: choosing a number n?k of independent spinors Sr from the first stabilizer C and a first ordered set SC consists of the independent spinors Sr; choosing a number n?k of independent spinors ?r from a second stabilizer ? in the intrinsic coordinate and a second ordered set ?r consists of the independent spinors ?r consist; implementing an encoding Qen, wherein the encoding Qen converts the first ordered set SC to the second ordered set S?, wherein the encoding Qen is a sequential product provided by sequential operations of a number n?k of unitary operators Qr; wherein each of the unitary operator Qr is composed of a single s-rotation or a product of two s-rotations; and wherein the encoding Qen converts and maps the rth independent spinor Sr in the first ordered set SC to the rth independent spinor ?r in the second ordered set S? correspondingly; a fault tolerant action Û i

Abstract: An investment strategy rule generation method including the following steps is provided. Firstly, an investment strategy rule generator generates an investment strategy model according to an investment history trend. Then, a total investment return of each of N candidate investment rules is obtained by the investment strategy rule calculator, wherein each of the N candidate investment rules includes a candidate market direction rule. The obtaining step includes: performing an investment simulation in each of multiple time points in a time window of a time interval. Then, the total investment return under the operation of the investment simulations over the time interval is calculated by the investment strategy rule calculator. Then, the candidate investment rule corresponding to the best of the total investment returns is used as an investment strategy rule of the investment strategy model by the investment strategy rule calculator.

Abstract: An investment strategy rule generation method including the following steps is provided. Firstly, an investment strategy rule generator generates an investment strategy model according to an investment history trend. Then, a total investment return of each of N candidate investment rules is obtained by the investment strategy rule calculator, wherein each of the N candidate investment rules includes a candidate market direction rule. The obtaining step includes: performing an investment simulation in each of multiple time points in a time window of a time interval. Then, the total investment return under the operation of the investment simulations over the time interval is calculated by the investment strategy rule calculator. Then, the candidate investment rule corresponding to the best of the total investment returns is used as an investment strategy rule of the investment strategy model by the investment strategy rule calculator.

Abstract: A remote controller includes a touch module, a main processing unit, a communication module, and a motion sensing module. The touch module includes a touch panel and a touch signal processing unit. A method for controlling a remote controller includes steps of determining a switching behavior on the touch panel and switching the remote controller among operation modes corresponding to the switching behavior. The operation modes include a remoter mode, a touch-pad mode, and an air-mouse mode.

Abstract: A method for controlling a touch and motion sensing pointing device is disclosed. In the method, a touch on the pointing device is sensed through a touch sensing module. Whether or not a touch size of the touch is smaller than a predetermined size is determined when the touch is sensed. An output of coordinate signals of the pointing device is locked when the touch size of the touch is smaller than the predetermined size. Whether or not a persisting time of the touch is larger than a predetermined time is measured when the output of coordinate signals is locked. The output of coordinate signals is unlocked when the persisting time of the touch is greater than the predetermined time. A mouse-click signal is transmitted when the persisting time of the touch is smaller than or equal to the predetermined time.

Abstract: An autostereoscopic display apparatus is provided. The autostereoscopic display apparatus includes a liquid-crystal panel and a barrier cell. The barrier cell includes a first substrate, a second substrate, and a liquid-crystal layer. The first substrate includes a first electrode. The second substrate includes a second electrode and a third electrode, wherein the second and third electrodes are separated from each other. The liquid-crystal layer is disposed between the first and second substrates. A black region between the first and third electrodes is formed when a first voltage is applied to the first and second electrodes and a second voltage is applied to the third electrode.

Abstract: A display panel having a reflective region and a transparent region is provided. The reflective region and the transparent region respectively have sub-pixel regions. The display panel includes a first substrate, a second substrate, a plurality of color filter patterns, a single complementary color filter pattern and a display medium. The first substrate has a plurality of pixel structures disposed corresponding to the sub-pixel regions. The second substrate is disposed opposite to the first substrate. The color filter patterns are respectively disposed in the sub-pixel regions of the transparent region on the first or second substrate. The single complementary color filter pattern is disposed in the sub-pixel regions of the reflective region on the first or second substrate. The sub-pixel regions of the reflective region are not completely covered by the single complementary color filter pattern. The display medium is disposed between the first substrate and second substrate.

Abstract: A display panel having a reflective region and a transparent region is provided. The reflective region and the transparent region respectively have sub-pixel regions. The display panel includes a first substrate, a second substrate, a plurality of color filter patterns, a single complementary color filter pattern and a display medium. The first substrate has a plurality of pixel structures disposed corresponding to the sub-pixel regions. The second substrate is disposed opposite to the first substrate. The color filter patterns are respectively disposed in the sub-pixel regions of the transparent region on the first or second substrate. The single complementary color filter pattern is disposed in the sub-pixel regions of the reflective region on the first or second substrate. The sub-pixel regions of the reflective region are not completely covered by the single complementary color filter pattern. The display medium is disposed between the first substrate and second substrate.

Abstract: A touch panel and a touch display device are provided. The touch panel includes a first substrate having an inner surface and an outer surface. A position sensing structure is disposed over the inner surface or the outer surface of the first substrate. A second substrate is disposed opposite to the first substrate, facing the inner surface of the first substrate. A plurality of press sensing structures is disposed between the first and the second substrates and a press signal connecting line is disposed to serially connect all of the press sensing structures. The touch display device includes the above mentioned touch panel.

Abstract: A lipstick-like pen includes a seat having a tubular part. A rotating sleeve is rotatably provided outside said tubular part. A moving sleeve is movably provided in said tubular part. A pen barrel is positioned in the moving sleeve and has a combined ink cartridge and stylus received in the pen barrel. The pen is shaped as a lipstick to provide an attractive and interesting appearance.