Abstract: Cathodes and lithium secondary batteries including the cathodes are disclosed. In some implementations, a cathode may include a cathode current collector and a cathode active material layer disposed on the cathode current collector and including cathode active material particles such that the cathode active material layer satisfies a specific equation. The cathode active material particles may include lithium metal oxide particles that include nickel, and may have a mole fraction of cobalt of 0.02 or less with respect to all elements except for lithium and oxygen.

Abstract: A cathode for a lithium secondary battery includes a cathode current collector, and a cathode active material layer formed on the cathode current collector. The cathode active material layer includes cathode active material particles. The cathode active material particles include a lithium metal oxide particle containing nickel and having a mole fraction of cobalt of 0.02 or less among all elements except lithium and oxygen.

Abstract: A flush glass apparatus includes a fixed glass having an opening, an operation glass configured to open and close the opening of the fixed glass, a lower rail configured to slidably support a lower portion of the operation glass, a sealing member provided below the lower rail to seal a gap between an inner surface of the fixed glass and a vehicle body, one or more upper drain holes provided on the lower rail to discharge rainwater on the lower rail to a buffer area between the lower rail and the sealing member, and a drain induction member interposed between the inner surface of the fixed glass and the sealing member and providing a lower drain hole to discharge rainwater in the buffer area to the outside.

Abstract: A casting equipment for producing a casting with a large cross-section for a very thick steel material includes: a casting part with a passage for a molten steel for casting the molten steel into a casting; a support part arranged separately from the casting part for receiving and supporting the casting in at least one of the sides of the casting; and a solidifying part arranged outside the casting provided with a first quality control device for solidifying the casting. A casting method includes: preparing a molten steel for casting; casting the molten steel in the casting part with the passage opened or closed into a casting; conveying the casting to the solidifying part; and conveying the solidified casting to a subsequent process so as to improve the quality of the casting, thus increasing substantially the yield rate of castings.