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Mathematics Dictionary
Dr. K. G. Shih


Question and Answer
Questions



  • Keyword | Ellipse : Definition and equations with application examples
  • Subject | Ellipse : Locus of ellipse
  • Subject | Ellipse : Equation a*x^2 + c*y^2 + d*x + e*y + f = 0
  • Subject | Ellipse : Convert (x/a)^2 + (y/b)^2 = 1 to polar form
  • Subject | Ellipse : Polar form
    • Convert R = (D*e)/(1 - e*cos(A)) to rectangular form
    • Convert R = 1.8/(1 - 0.8*cos(A)) to rectangular form
  • Keyword | Ellipse : Sketch using ruler
  • Keyword | Ellipse : Sketch using string
  • Keyword | Ellipse : Sketch tangent using reflection
  • Keyword | Equiltateral triangle
  • Keyword | Equation theory
    • Quadratic equation
    • Cubic equation
    • Quartic equation
  • Keyword | Equation x^5 - 1 = 0 (AL 18 04 : By construction)
  • Keyword | Equation x^5 + 1 = 0 (AL 18 07 : By construction)
  • Keyword | Equation x^5 - i = 0 (AL 18 11 : By construction)
  • Keyword | Equation x^5 + i = 0 (AL 18 12 : By construction)
  • Example | Equation x^7 + 2*x^6 - 5*x^5 - 13*x^4 - 13*x^3 - 5*x^2 + 2*x + 1 = 0
  • Keyword | Equation : Methods to solve and theory of equations
  • Keyword | Equiltateral triangle : Circles inside
  • Keyword | Equiltateral triangle : Circles inside
  • Keyword | Equiltateral triangle : Ex-central triangle
  • Keyword | Equiltateral triangle : Heights and medians coinsides
  • Keyword | Equiltateral triangle : Inside point to distance of sides equal height
  • Keyword | Equiltateral triangle : Pedal triangle
  • Keyword | Equiltateral triangle : Square inside
  • Keyword | Euler, Leonard : The great mathematician
    • Amicable number pairs
    • Mathematical symbol : e, i, pi
  • Keyword | Exponent : Definition and examples
  • Keyword | Exponent : e^x = 1 + x + (x^2)/(2!) + ...
  • Keyword | Exponent : e^x + e^(2*x) + e^y + e^(2*y) = 12
    • 1. How to sketch the curve ?
    • 2. Find the asymptote
  • Keyword | Exponent : Series of e^x
    • 1. Find series of sin(x)
    • 2. Find series of cos(x)
    • 3. Find series of sinh(x)
    • 4. Find series of cosh(x)

  • Keyword | Ex-center of triangle : Definition and proof
  • Keyword | Ex-central triangle : Construction
  • Keyword | Ex-central triangle : Definition and proof

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    Copyright © Dr. K. G. Shih, Nova Scotia, Canada.

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