Abstract: A genetically engineered yeast cell with enhanced activity of an EDC protein compared to that of a parent cell and capability of producing lactate, a method of producing the yeast cell, and a method of producing lactate by using the yeast cell.

Abstract: The methods may include forming a first material layer on a substrate, increasing electric resistance of the first material layer, and forming a source pattern and a drain pattern, which are spaced apart from each other, on the first material layer, a band gap of the source and drain patterns greater than a band gap of a first material layer.

Abstract: In a lower substrate, a display apparatus having the lower substrate and a method of manufacturing the lower substrate, the lower substrate includes a pixel area and a circuit area. An image is displayed in the pixel area. A first signal electrode is disposed in a circuit area. A first insulating layer includes an opening, through which the first signal electrode is exposed. A second signal electrode is disposed on the first insulating layer in the circuit area, and spaced apart from the first signal electrode. A second insulating layer is disposed on the first insulating layer, and includes a contact hole, through which the first and second signal electrodes are exposed. A conductive layer electrically connects the first signal electrode to the second signal electrode. Therefore, a manufacturing process is simplified so that a yield of the lower substrate is increased.

Abstract: There is provided a convergence adjusting apparatus and method using spline interpolation in a projection image display device. In the convergence adjusting apparatus, a controller calculates the unknown coefficients of a cubic spline interpolation polynomial for each line segment separated by adjustment points on a horizontal or vertical line to interpolate between the adjustment points, a memory temporarily stores the unknown coefficients, a coordinate position generator counts horizontal sync signal pulses and calculates the square and cube of the count value, a plurality of multipliers multiply the count value, the square, and the cube by the unknown coefficients received from the memory, respectively, and an adder adds convergence adjustment point data received from the memory and the outputs of the multipliers and outputs interpolation values.

Abstract: A method of forming a capacitor of semiconductor devices, and the capacitor formed thereby, improves the reliability of semiconductor devices by maximizing the capacitance of the capacitor through the stable increase of the surface area of its lower electrode material layer.