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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/00%3A_The_Language_of_Mathematics/0.01%3A_DefinitionsThis section introduces the student to the foundational concept of a definition. While simple in concept, mathematics (and language) would not exist without such a crucial structure.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_375%3A_Pre-Calculus/01%3A_The_Language_of_Mathematics/1.01%3A_DefinitionsThis section introduces the student to the foundational concept of a definition. While simple in concept, mathematics (and language) would not exist without such a crucial structure.
- https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/07%3A_Vector_SpacesThis page defines vector spaces and describes their properties, including operations, spanning sets, linear independence, and subspaces. It covers bases, subspace operations, linear transformations, a...This page defines vector spaces and describes their properties, including operations, spanning sets, linear independence, and subspaces. It covers bases, subspace operations, linear transformations, and the concepts of image and kernel. The text also discusses the matrix representation of linear transformations and introduces inner product spaces, which apply geometric concepts of length and orthogonality to general vector spaces.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus/10%3A_Appendix_-_The_Language_of_Mathematics/10.01%3A_DefinitionsThe hue of the long-wave end of the visible spectrum, evoked in the human observer by radiant energy with wavelengths of approximately 630 to 750 nanometers, is defined to be the color red. In the "re...The hue of the long-wave end of the visible spectrum, evoked in the human observer by radiant energy with wavelengths of approximately 630 to 750 nanometers, is defined to be the color red. In the "real world," we have the luxury of being able to ask what the definition of something is a few times, and, in general, people forgive our ignorance.