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Edit-tricks are most useful when multiple tables must be changed, then the time needed to develop complex edit-patterns can be applied to each table. For each table, insert an alpha-prefix on each column (making each row-token "|-" to sort as column zero, like prefix "Row124col00"), then sort into a new file, and then de-prefix the column entries.
When a column contains repeated values, sorting the column should maintain the original order of rows within each subset that shares the same value. This is known as stable sorting. As a result, multi-key sorting (sorting by primary, secondary, tertiary keys, etc.) can be achieved by sorting the least significant key first and the most ...
The value (or list/range of values) is usually separated from the corresponding statement sequence by a colon or by an implication arrow. In many languages, every case must also be preceded by a keyword such as case or when. An optional default case is typically also allowed, specified by a default, otherwise, or else keyword. This executes ...
The approximate range of an object one foot (30.48 cm) in height covering roughly 100 milliradians is 10 feet (3.048 m) or: Range (r) = approximate height of object (h) × (1000 ÷ aperture in milliradians (a)) r = h(1000/a) → where r and h are identical units, and a is in milliradians.
The column space of a matrix is the image or range of the corresponding matrix transformation. Let be a field. The column space of an m × n matrix with components from is a linear subspace of the m-space. The dimension of the column space is called the rank of the matrix and is at most min(m, n). [1]
Subtract this number from the total available in the row (usually the width or height of the puzzle). For example, if the clue in step 1 is in a row 15 cells wide, the difference is 15 - 13 = 2. Note: If spaces can be used on the left or right (top or bottom) borders, this "shrinks" the available area.
In statistics, the mode is the value that appears most often in a set of data values. [1] If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value (i.e., x=argmax x i P(X = x i)). In other words, it is the value that is most likely to be sampled.
Like date ranges, number ranges and page ranges should state the full value of both the beginning and end of the range, separated by an en dash: pp. 1902–1911 or entries 342–349. Except within quotations, avoid abbreviated forms such as 1902–11 or 342–9 , which are not understood universally, are sometimes ambiguous, and can cause ...