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This misconception may originate from a misunderstanding based on the fact that the Earth's mantle convects, and the incorrect assumption that only liquids and gases can convect. In fact, a solid with a large Rayleigh number can also convect, given enough time, which is what occurs in the solid mantle due to the very large thermal gradient ...
Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.
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In printed mathematics, the norm is to set variables and constants in an italic typeface. [ 17 ] For example, a general quadratic function is conventionally written as a x 2 + b x + c {\textstyle ax^{2}+bx+c\,} , where a , b and c are parameters (also called constants , because they are constant functions ), while x is the variable of the function.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
However, theoretical understanding of their solutions is incomplete, despite its importance in science and engineering. For the three-dimensional system of equations, and given some initial conditions, mathematicians have not yet proven that smooth solutions always exist. This is called the Navier–Stokes existence and smoothness problem.
DJT stock surged after Donald Trump said he would not sell his shares in the company, the home of Trump's social media platform, Truth Social.
Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being (hereinafter WMCF) is a book by George Lakoff, a cognitive linguist, and Rafael E. Núñez, a psychologist. Published in 2000, WMCF seeks to found a cognitive science of mathematics , a theory of embodied mathematics based on conceptual metaphor .