An arbitrary zero refers to a reference point in a numerical scale that is chosen for convenience, rather than being based on a natural or absolute value. For instance, in temperature scales, zero degrees Celsius is an arbitrary zero defined by the freezing point of water, while zero on the Kelvin scale is based on absolute zero, the theoretical lowest temperature. This concept allows for flexibility in measurement systems, enabling comparison and calculation in various scientific and mathematical contexts.
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An arbitrary zero is a reference point chosen in a scale or measurement system that does not have a natural or fixed value, allowing for flexibility in defining the starting point of a measurement. For example, in temperature scales like Celsius or Fahrenheit, zero is defined arbitrarily based on the specific properties of water and other reference points, rather than being an absolute zero. This concept is important in various fields, including mathematics and physics, where it helps establish relative comparisons and scales.
Zero is a number (a scalar quantity without unit) while zero vector (or null vector) is a vector quantity having zero magnitude and arbitrary direction.
It is an interval scale. It is not a ratio scale, the next higher level, because the zero is arbitrary and not unique from one calendar to another.
For temperatures, zero is an arbitrary reference point, depending on which scale is used. For Celsius, zero is assigned the the temperature at which water freezes. So temperatures which are colder than this temperature will be negative values, and temperatures warmer will be positive values. Fahrenheit uses a different reference point for zero, but similar principles apply.
An arbitrary integer is basically the same as any integer. If a math problem says: "Let n be an arbitrary integer", it means that n can be any integer. A random integer in other words.
The 0 degree longitude is the imaginary line that goes from pole to pole, passing through Greenwich in London, site of the Royal Observatory. The choice of the zero point for longitudes is arbitrary and many major cities were used. Eventually, in 1884, the Greenwich Meridian was accepted as the internationally agreed zero longitude.