Abstract: A planetary gear train of an automatic transmission for a vehicle may include an input shaft receiving torque of an engine, an output shaft outputting torque, a first planetary gear set, a second planetary gear set, a third planetary gear set, a fourth planetary gear set, a first shaft, a second shaft, a third shaft, a fourth shaft, a fifth shaft selectively connectable to at least one of the second shaft and the third shaft, and directly connected to the input shaft, a sixth shaft connected to the ninth rotation element, a seventh shaft connected to the tenth rotation element, and an eighth shaft connected to the eleventh rotation element, selectively connectable to the sixth shaft, and directly connected to the output shaft.

Abstract: Provided is a method and apparatus for displaying an image showing an object. The method of displaying an image showing an object includes: displaying a model corresponding to the object; receiving a user input for selecting, from the model, a region of interest (ROI) included in the object; and displaying an image showing the ROI based on the user input.

Abstract: A planetary gear train of an automatic transmission for a vehicle provides at least ten forward speeds and one reverse speed by combination of: first to fourth planetary gear sets respectively having first to third rotational elements, fourth to sixth rotational elements, seventh to ninth rotational elements, or tenth to twelfth rotational elements; first to ninth shafts; and multiple control elements including four clutches and three brakes. In particular, each of the tenth, eleventh, twelfth rotational elements is fixedly connected with a different shaft selected from the first, sixth, seventh and ninth shafts, and one clutch is fixedly connected with the ninth shaft.

Abstract: A planetary gear train may include first to fourth planetary gear sets having first to twelfth rotation elements; a first shaft connected with the first rotation element; a second shaft connecting the second and sixth rotation elements; a third shaft connecting the third, seventh, and tenth rotation elements; a fourth shaft connected with the fourth rotation element and a transmission housing; a fifth shaft connected with the fifth rotation element and selectively connectable with the third shaft; a sixth shaft connected with the eighth rotation element and the output shaft; a seventh shaft connected with the ninth rotation element; an eighth shaft connected with the eleventh rotation element, selectively connectable with the first shaft and the second shaft, respectively, and connected with the input shaft; and a ninth shaft connected with the twelfth rotation element and selectively connectable with the sixth shaft.

Abstract: A planetary gear train of an automatic transmission is disclosed to improve power delivery and fuel efficiency by applying six control elements to four planetary gear sets to achieve forward nine speed stages and one reverse speed stage. The planetary gear train includes: an input shaft; an output shaft; first to fourth planetary gear sets each having three rotational elements; four clutches and two brakes as the six control elements; and first to ninth shafts. In particular, the first shaft connects first and eleventh rotational elements, and the input shaft; the second shaft is connected with a second rotational element and selectively connected with the first shaft, the third shaft connects third and fifth rotational elements, and the fourth shaft is connected with a fourth rotational element and fixed to a transmission housing. In addition, the sixth shaft is selectively connected with the second and fifth shafts, respectively.

Abstract: A planetary gear train of an automatic transmission for a vehicle improves power delivery and fuel efficiency by applying six control elements to four planetary gear sets to achieve forward nine speed stages and one reverse speed stage. The planetary gear train includes: an input shaft; an output shaft; first to fourth first planetary gear sets each having three rotational element: four clutches and two brakes as the six control elements; and first to ninth shafts. In particular, the first shaft connects a first rotational element and the input shaft; the second shaft is connected with a second rotational element and selectively connected with the first shaft; the third shaft connects third and fifth rotational elements; the fourth shaft is connected with a fourth rotational element and fixed to a transmission housing; and the fourth shaft is connected with the fourth rotational element and fixed to the transmission housing.

Abstract: A bulk acoustic wave (BAW) resonator includes: a substrate; a first BAW resonator including a first air cavity disposed in the substrate, and further including a first electrode, a first piezoelectric layer, and a second electrode stacked on the first air cavity; a second BAW resonator including a second air cavity disposed in the substrate, and further including a first electrode, a second piezoelectric layer, and a second electrode stacked on the second air cavity, wherein the second BAW resonator is connected in parallel to the first BAW resonator and has polarities that are opposite of polarities of the first BAW resonator; and a compensation capacitor circuit connected between the first BAW resonator and the second BAW resonator.

Abstract: Eight or more forward speeds and at least one reverse speed is achieved by a planetary gear train of an automatic transmission for a vehicle including an input shaft, an output shaft, three planetary gear sets respectively having three rotation elements, and six control elements for selectively interconnecting the rotation elements.

Abstract: The present disclosure provides a planetary gear train of an automatic transmission for a vehicle. The planetary gear train may include: an input shaft receiving torque of an engine; an output shaft outputting changed torque; a first planetary gear set including first, second, and third rotation elements; a second planetary gear set including fourth, fifth, and sixth rotation elements; a third planetary gear set including seventh, eighth, and ninth rotation elements; a fourth planetary gear set including tenth, eleventh, and twelfth rotation elements. The planetary gear train improves power delivery performance and fuel economy by achieving at least eleven forward speed stages and widening speed ratio (or gear ratio) with a reduced number of constituent elements being used, and secures linearity of step ratios.

Abstract: A planetary gear train of an automatic transmission for a vehicle may include an input shaft for receiving an engine torque, an output shaft for outputting a shifted torque, a first planetary gear set, a second planetary gear set, a third planetary gear set, a fourth planetary gear set, six control elements, a first connecting member directly connected with a transmission housing, a second connecting member selectively connectable with the transmission housing, a third connecting member selectively connectable with the input shaft, a fourth connecting member directly connected with the input shaft, a fifth connecting member selectively connectable with the transmission housing, a sixth connecting member selectively connectable with the input shaft, and selectively connectable with the transmission housing, a seventh connecting member directly connected with the output shaft, and an eighth connecting member selectively connectable with the input shaft.

Abstract: A planetary gear train of an automatic transmission for a vehicle may include an input shaft receiving torque of an engine, an output shaft outputting changed torque of the engine, a first planetary gear set including first, second, and third rotational elements, a second planetary gear set including fourth, fifth, and sixth rotational elements, a third planetary gear set including seventh, eighth, and ninth rotational elements, a first rotation shaft, a second rotation shaft directly connected to the input shaft, a third rotation shaft, a fourth rotation shaft selectively connected to a transmission housing, a fifth rotation shaft directly connected to the output shaft, a sixth rotation shaft directly connected to the input shaft, a seventh rotation selectively connected to the first rotation shaft and the third rotation shaft, and an eighth rotation shaft selectively connected to the fourth rotation shaft and the fifth rotation shaft.

Abstract: A planetary gear train of a transmission for a vehicle is provided. Nine or more forward speeds and one or more reverse speeds are achieved by a planetary gear train of an automatic transmission for a vehicle including an input shaft and an output shaft. A first planetary gear set has first, second, and third rotation elements. A second planetary gear set has fourth, fifth, and sixth rotation elements. A third planetary gear set has seventh, eighth, and ninth rotation elements. A fourth planetary gear set has tenth, eleventh, and twelfth rotation elements and eight shaft element.

Abstract: A planetary gear train disclosed herein includes an input shaft for receiving engine torque; an output shaft for outputting shifted torque; a first planetary gear set having first, second, and third rotational elements; a second planetary gear set having fourth, fifth, and sixth rotational elements; a third planetary gear set having seventh, eighth, and ninth rotational elements; a fourth planetary gear set having tenth, eleventh, and twelfth rotational elements; a first shaft interconnecting the first, fifth, ninth, and tenth rotational elements; a second shaft connected with the second rotational element and the input shaft; a third shaft connected with the third rotational element; a fourth shaft interconnecting the sixth and eighth rotational elements, and selectively connected with the second shaft; a fifth shaft connected with the seventh rotational element and selectively connected with the second shaft; and a sixth shaft connected with the eleventh rotational element and the output shaft.

Abstract: Nine or more forward speeds and at least one reverse speed is achieved by a planetary gear train of an automatic transmission for a vehicle including an input shaft, an output shaft, four planetary gear sets respectively having three rotation elements, and six control elements for selectively interconnecting the rotation elements.

Abstract: A planetary gear train of an automatic transmission may include input shaft, output, first planetary gear set having first to third rotational elements, second planetary gear set having fourth to sixth rotational elements, third planetary gear set having seventh to ninth rotational elements, fourth planetary gear set having tenth to twelfth rotational elements, first shaft interconnecting the first and fourth rotational elements, and may be selectively connected with the input shaft or transmission housing, second shaft interconnecting the second rotational element, the sixth rotational element, the seventh rotational element, and the tenth rotational element connect, third shaft connected with the third rotational element, fourth shaft connected with the fifth rotational element, fifth shaft connected with the ninth rotational element, sixth shaft connected with the eighth rotational element and connected with the output shaft, a seventh shaft connected with the eleventh rotational element and connected with

Abstract: A planetary gear train of an automatic transmission for a vehicle includes: an input shaft and an output shaft; a first planetary gear set including a first, second, and third rotation elements; a second planetary gear set including a fourth, fifth, and sixth rotation elements; a third planetary gear set including a seventh, eighth, and ninth rotation elements; a fourth planetary gear set including a tenth, eleventh and twelfth rotation elements; a first shaft interconnecting the first rotational element and the twelfth rotational element; a second shaft connected with the second rotational element and the input shaft; a third shaft interconnecting the third rotational element and the fourth rotational element; a fourth shaft interconnecting the sixth rotational element and the seventh rotational element; a fifth shaft interconnecting the ninth rotational element and the tenth rotational element; and a sixth shaft connected with the eleventh rotational element and the output shaft.

Abstract: A planetary gear train of an automatic transmission for a vehicle may include an input shaft receiving torque of an engine, an output shaft outputting changed torque, a first planetary gear set including a first rotation element, a second rotation element, and a third rotation element, a second planetary gear set including a fourth rotation element, a fifth rotation element, and a sixth rotation element, a third planetary gear set including a seventh rotation element, an eighth rotation element, and a ninth rotation element, a fourth planetary gear set including a tenth rotation element, an eleventh rotation element, and a twelfth rotation element, and first, second, third, fourth, fifth, sixth, and seventh rotation shafts connected to at least one of the first to twelfth rotation elements.

Abstract: A multi-stage transmission for a vehicle is provided that has at least nine forward shifting stages and one reverse shifting stage with a relatively small number of parts and a configuration such that an engine may be operated at desired operation points, thereby increasing fuel efficiency of the vehicle, and the engine may be operated more quietly, thereby improving the quietness of the vehicle.

Abstract: A planetary gear train of an automatic transmission for a vehicle may include an input shaft receiving torque of an engine, an output shaft outputting torque, a first planetary gear set, a second planetary gear set, a third planetary gear set, a fourth planetary gear set, a first shaft directly connected with the input shaft, a second shaft, a third shaft, a fourth shaft, a fifth shaft selectively connectable with each of the first shaft and the second shaft, a sixth shaft selectively connectable with the third shaft, and directly connected with the output shaft, and a seventh shaft selectively connectable with the second shaft.

Abstract: A planetary gear train of an automatic transmission for a vehicle is disclosed. The planetary gear train may include: an input shaft receiving torque of an engine; an output shaft outputting torque; a first planetary gear set including first, second, and third rotation elements; a second planetary gear set including fourth, fifth, and sixth rotation elements; a third planetary gear set including seventh, eighth, and ninth rotation elements; and a fourth planetary gear set including tenth, eleventh, and twelfth rotation elements.