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A ruler, marked in centimeters (top), and inches (bottom). The rising and falling pattern of vertical lines on the inch scale resembles the ruler function. In number theory, the ruler function of an integer can be either of two closely related functions. One of these functions counts the number of times can be evenly divided by two, which for ...
Each ruler's scale has graduations labeled with precomputed outputs of various mathematical functions, acting as a lookup table that maps from position on the ruler as each function's input. Calculations that can be reduced to simple addition or subtraction using those precomputed functions can be solved by aligning the two rulers and reading ...
A variety of rulers A 2 m (6 ft 6 + 3 ⁄ 4 in) carpenter's rule Retractable flexible rule or tape measure A closeup of a steel ruler A ruler in combination with a letter scale. A ruler, sometimes called a rule, scale or a line gauge or meter stick, is an instrument used to make length measurements, whereby a length is read from a series of markings called "rules" along an edge of the device. [1]
Thomae's function. Function that is discontinuous at rationals and continuous at irrationals. Point plot on the interval (0,1). The topmost point in the middle shows f (1/2) = 1/2. Thomae's function is a real -valued function of a real variable that can be defined as: [1]: 531.
A slide rule scale is a line with graduated markings inscribed along the length of a slide rule used for mathematical calculations. The earliest such device had a single logarithmic scale for performing multiplication and division, but soon an improved technique was developed which involved two such scales sliding alongside each other.
Pens, pencils, scribes, drawing boards, and plum bobs. A square is a tool used for marking and referencing a 90° angle, though mitre squares are used for 45° angles. Squares see common use in woodworking, metalworking, construction and technical drawing. [1] Some squares incorporate a scale for measuring distances (a ruler) or for calculating ...
Scale ruler. A scale ruler is a tool for measuring lengths and transferring measurements at a fixed ratio of length; two common examples are an architect's scale and engineer's scale. In scientific and engineering terminology, a device to measure linear distance and create proportional linear measurements is called a scale.
Euler's totient function is a multiplicative function, meaning that if two numbers m and n are relatively prime, then φ(mn) = φ(m)φ(n). [4][5] This function gives the order of the multiplicative group of integers modulo n (the group of units of the ring ). [6] It is also used for defining the RSA encryption system.
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