• Cerebral cortex Jahangir Moini, Pirouz Piran, in Functional and Clinical Neuroanatomy, 2020 Specialized language areas Language processing is very complicated and occurs in both cerebral hemispheres. However, it varies between individuals. Related to primarily the left hemisphere are Wernicke’s area and Broca’s area. The first, Wernicke’s area, is close to the auditory cortex, and located in the superior temporal gyrus. It is associated with language…

  • Ask Metaphysics: Degenerate Bilinear Forms

    Ask Metaphysics: Degenerate Bilinear Forms [learn_press_profile]… Read the rest “Ask Metaphysics: Degenerate Bilinear Forms”

  • Is a rectangle prime?

    Is a rectangle prime? [learn_press_profile]… Read the rest “Is a rectangle prime?”

  • Cauchy’s Theorem Application?

    Cauchy’s Theorem Application? [learn_press_profile]… Read the rest “Cauchy’s Theorem Application?”

  • Math 55

    Online Course: https://canvas.harvard.edu/courses/90105/assignments/syllabus https://canvas.harvard.edu/courses/101719/assignments/syllabus References:https://people.math.harvard.edu/~elkies/M55a.10/index.htmlhttps://people.math.harvard.edu/~elkies/M55b.10/https://people.math.harvard.edu/~ctm/home/text/class/harvard/55a/09/html/index.htmlhttps://people.math.harvard.edu/~ctm/home/text/class/harvard/55b/10/html/index.html [learn_press_profile]

  • Koch Curve, Fractal Geometry, and Measures (MATH 334)

    I ended up back here coincidentally, and I think my intuition about this was on the right track. I just need to review it a bit. This is entirely a note to self. Required Reading: https://math.stackexchange.com/questions/3005409/koch-curve-from-cantor-sets-paradoxhttps://math.stackexchange.com/questions/12906/the-staircase-paradox-or-why-pi-ne4https://www.wikiwand.com/en/Fractal_dimension [learn_press_profile]

  • I don’t know where the coefficients when finding volume of spheres, cones and pyramids come from in 3-dimensional geometry.

    I just discovered the WordPress app. So I guess we start with a circle, which I don’t know how to find the area of either. I guess we start with a square. Area is a measure of how much space something is taking up. Physicists call this Mass. We will use these interchangeably for now.…

  • Introduction to Algebraic Cycles (MATH 568)

    Required Reading: Chapter 1 of Hartshorne, Algebraic GeometryGrothendieck, A. (1969), “Standard Conjectures on Algebraic Cycles”, Algebraic Geometry (Internat. Colloq., Tata Inst. Fund. Res., Bombay, 1968) (PDF), Oxford University Press, pp. 193–199, MR 0268189. Grothendieck, A. (1958), “Sur une note de Mattuck-Tate”, J. Reine Angew. Math., 1958 (200): 208–215, doi:10.1515/crll.1958.200.208, MR 0136607, S2CID 115548848 Background In mathematics, an algebraic cycle on an algebraic variety V is a formal linear combination of subvarieties of V. These are the part of…

  • The Gamma Function

    In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers. For any positive integer n, Derived by Daniel Bernoulli, for complex numbers with a positive real part, the gamma function is defined via a convergent improper integral: The…