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Simultaneity is the property of two events happening at the same time in at least one reference frame.
In mathematics, a system of equations or a set of simultaneous equations share variables; a solution is a set of variable values for which all these equations are satisfied together.
In modern physics two events may be simultaneous with respect to a time event as follows:
A central event (0,0) is used to anchor a spacetime plane = ST where x measures distance in units of 30 centimeters and t measures time in nanoseconds. Space events satisfy |x| > |t| and the time events satisfy |x| < |t|.
Now a space event e is simultaneous with the origin (0,0), with respect to a time event z, if e and z are hyperbolic-orthogonal points in ST.
Two events g and h in ST are simultaneous with respect to z if their difference g - h in ST is hyperbolic-orthogonal to z.
In marketing, simultaneity is one of the characteristics of a service which differentiates it from a product. It refers to the idea that the production and consumption of a service occur simultaneously, making it impossible to produce and store a service prior to consumption.
Important ideas and inventions are often created 'simultaneously' by independent, contemporary individuals when 'the time is ripe'. (Note: a coincidence does not prove a relationship.) This phenomenon is referred to by the saying 'Great minds think alike' — though it is not limited to great minds. In modern times it has led to many patent squabbles and 'who was first' controversies. Some examples:
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