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The mathematical meaning of the term "actual" in actual infinity is synonymous with definite, completed, extended or existential, [13] but not to be mistaken for physically existing. The question of whether natural or real numbers form definite sets is therefore independent of the question of whether infinite things exist physically in nature .
In mathematics real is used as an adjective, meaning that the underlying field is the field of the real numbers (or the real field). For example, real matrix, real polynomial and real Lie algebra. The word is also used as a noun, meaning a real number (as in "the set of all reals").
Softcore actualists hold that modal truths are grounded in the abstract realm, for example in possible worlds conceived as abstract objects existing in the actual world. [25] Hardcore actualists, on the other hand, assert that modal truths are grounded in the concrete constituents of the actual world, [26] for example in essences or in ...
For example, the motion of building is the energeia of the dunamis of the building materials as building materials as opposed to anything else they might become, and this potential in the unbuilt materials is referred to by Aristotle as "the buildable". So the motion of building is the actualization of "the buildable" and not the actualization ...
For example, the real numbers form the real line, which is pictured as the horizontal axis of the complex plane, while real multiples of are the vertical axis. A complex number can also be defined by its geometric polar coordinates : the radius is called the absolute value of the complex number, while the angle from the positive real axis is ...
An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i 2 = −1. [1] [2] The square of an imaginary number bi is −b 2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary. [3]
In real-world measuring situations, improving the measurement technique will eventually begin yielding unpredictable least significant digits. For example, a 1-inch long gauge block will measure to be exactly 1 inch long until the measuring techniques reach a certain degree of precision. As techniques improve beyond this threshold, it will ...
The bumpy texture of tactile paving.. The physical texture, also known as actual texture or tactile texture, refers to the patterns of variations found on a solid surface. . These can encompass a wide range of materials, including but not limited to fur, canvas, wood grain, sand, leather, satin, eggshell, matte, or smooth surfaces like metal or g