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  2. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles.

  3. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    Automata theory is the study of abstract machines and automata, as well as the computational problems that can be solved using them. It is a theory in theoretical computer science with close connections to mathematical logic. The word automata comes from the Greek word αὐτόματος, which means "self-acting, self-willed, self-moving". An ...

  4. Tree of knowledge (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Tree_of_knowledge_(philosophy)

    The tree of knowledge or tree of philosophy is a metaphor presented by the French philosopher René Descartes in the preface to the French translation of his work Principles of Philosophy to describe the relations among the different parts of philosophy in the shape of a tree. He describes knowledge as a tree.

  5. Supply and demand - Wikipedia

    en.wikipedia.org/wiki/Supply_and_demand

    If the demand decreases, then the opposite happens: a shift of the curve to the left. If the demand starts at D 2, and decreases to D 1, the equilibrium price will decrease, and the equilibrium quantity will also decrease. The quantity supplied at each price is the same as before the demand shift, reflecting the fact that the supply curve has ...

  6. Passions of the Soul - Wikipedia

    en.wikipedia.org/wiki/Passions_of_the_Soul

    In the first part of his work, Descartes ponders the relationship between the thinking substance and the body. For Descartes, the only link between these two substances is the pineal gland (art. 31), the place where the soul is attached to the body. The passions that Descartes studies are in reality the actions of the body on the soul (art. 25).

  7. Learning theory (education) - Wikipedia

    en.wikipedia.org/wiki/Learning_theory_(education)

    Learning theory describes how students receive, process, and retain knowledge during learning. Cognitive, emotional, and environmental influences, as well as prior experience, all play a part in how understanding, or a worldview, is acquired or changed and knowledge and skills retained.

  8. Data and information visualization - Wikipedia

    en.wikipedia.org/wiki/Data_and_information...

    By encoding relational information with appropriate visual and interactive characteristics to help interrogate, and ultimately gain new insight into data, the program develops new interdisciplinary approaches to complex science problems, combining design thinking and the latest methods from computing, user-centered design, interaction design ...

  9. Cogito, ergo sum - Wikipedia

    en.wikipedia.org/wiki/Cogito,_ergo_sum

    The Latin cogito, ergo sum, usually translated into English as "I think, therefore I am", [a] is the "first principle" of René Descartes's philosophy. He originally published it in French as je pense, donc je suis in his 1637 Discourse on the Method, so as to reach a wider audience than Latin would have allowed. [1]