The ceiling function, denoted as ⌈x⌉, is a mathematical function that rounds a real number x up to the nearest integer. For example, if x is 3.2, the ceiling function will return 4, while for -2.7, it will return -2. This function is useful in various fields, including computer science and statistics, where whole numbers are often required. In contrast to the floor function, which rounds down to the nearest integer, the ceiling function always rounds up. This characteristic makes it particularly valuable in scenarios like allocating resources or determining limits, where rounding up ensures that sufficient quantities are available.