https://www.ayton.id.au/wiki/ Wed, 29 Apr 2026 21:18:58 +0000 FeedCreator 1.8 https://www.ayton.id.au/wiki/lib/tpl/dokuwiki/images/favicon.ico https://www.ayton.id.au/wiki/ https://www.ayton.id.au/wiki/doku.php?id=maths:algebra a brief summary of algebra see also: * a brief summary of mathematical principles and tools * History of Mathematics Introduction Field laws * 11 field laws of algebra for real numbers (set of R): field law addition multiplication closure a + b subset of R ab subset of R commutative a + b = b + a anonymous@undisclosed.example.com (Anonymous) maths Sat, 24 Jul 2021 04:33:09 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:calculus a brief summary of calculus see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Circular functions * Logarithmic, exponential and hyperbolic functions Introduction Differential and integral calculus basic rules * Rules: * A function f, is differentiable at a point x=a, if the derivative f'(x) exists at x=a: * ie. must be smooth & continuous; anonymous@undisclosed.example.com (Anonymous) maths Sun, 03 Oct 2021 07:48:20 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:circular a brief summary of circular functions and trigonometry see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Coordinate geometry, parabolae, etc * Logarithmic, exponential and hyperbolic functions Introduction Circular functions: * NB. π radians = 180 degrees. * unit circle defined by x2+y2 = 1 and each point of the circle represented by (cost… anonymous@undisclosed.example.com (Anonymous) maths Sat, 25 Sep 2021 05:58:13 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:complex_number_maths complex number maths see also: * a brief summary of number theory * a brief summary of mathematical principles and tools Introduction * complex numbers were invented in the 16th century to help solve cubic equations * z = x + yi where z = complex, x and y are real and i = sqrt(-1) * complex numbers are used extensively: * anonymous@undisclosed.example.com (Anonymous) maths Sun, 07 Sep 2025 12:18:38 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:coordinate a brief summary of coordinate geometry, parabolae, etc see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions Introduction Straight Line: * equation y = mx + c; * gradient between two points (x1,y1) and (x2,y2) is m = (y2 - y1) / (x2 - x1) ie. “rise over run anonymous@undisclosed.example.com (Anonymous) maths Sat, 24 Jul 2021 01:39:11 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:financial a brief summary of financial equations see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Logarithmic, exponential and hyperbolic functions * Probability theory Introduction   Simple Interest * interest rate per year = (redemption value - principal)/principal X (365/no.days) C… anonymous@undisclosed.example.com (Anonymous) maths Sat, 24 Jul 2021 01:38:35 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:log_exp a brief summary of logarithms and exponential functions see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Probability theory Introduction * 1614, John Napier, publicly propounded the method of logarithms Euler's constant e * in the 18thC, Leonhard Euler gav… anonymous@undisclosed.example.com (Anonymous) maths Sun, 07 Sep 2025 12:33:07 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:mensuration mensuration - how to measure area, volume, etc of various shapes see also: * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Logarithmic, exponential and hyperbolic functions * Probability theory * History of Mathematics * http://math.about.com/library/blmeasurement.htm  Introduction Triangles * with sides a,b,c (hypotenuse) and angles opposit… anonymous@undisclosed.example.com (Anonymous) maths Sat, 28 Aug 2021 06:10:46 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:number_theory a brief summary of number theory see also: * History of Mathematics * a brief summary of mathematical principles and tools Introduction * in simple terms, numbers can be: * either algebraic or transcedental * rational, irrational or complex, although all numbers are part of the set of complex numbers, and real numbers are a subset of complex numbers where the imaginary scalar is zero anonymous@undisclosed.example.com (Anonymous) maths Thu, 04 Sep 2025 02:07:29 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:probability a brief summary of probability theory see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Logarithmic, exponential and hyperbolic functions * a brief summary of statistics principles and tools Introduction Factorial: * the product of n consecutive positive … anonymous@undisclosed.example.com (Anonymous) maths Sat, 24 Jul 2021 04:11:58 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:start a brief summary of mathematical principles and tools see also: * History of Mathematics * a brief summary of number theory * complex number maths * mensuration - how to measure area, volume, etc of various shapes * Algebra * geometry * matrices * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Logarithmic, exponential and hyperbolic functions * mathematical signal pattern transforms such as FFT * Probability the… anonymous@undisclosed.example.com (Anonymous) maths Tue, 07 Oct 2025 02:06:33 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:stats a brief summary of statistics principles and tools see also: * a brief summary of mathematical principles and tools * History of Mathematics * mensuration - how to measure area, volume, etc of various shapes * Algebra * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Logarithmic, exponential and hyperbolic functions * Probability theory * simple explanation of Receiver Operating Curves (ROC) as a measure of a test  Intr… anonymous@undisclosed.example.com (Anonymous) maths Mon, 27 Oct 2025 22:39:32 +0000 https://www.ayton.id.au/wiki/doku.php?id=maths:transforms mathematical signal pattern transforms such as FFT see also: * History of Mathematics * a brief summary of mathematical principles and tools * a brief summary of number theory * mensuration - how to measure area, volume, etc of various shapes * Algebra * geometry * matrices * Calculus * Circular functions * Coordinate geometry, parabolae, etc * Finance equations * Logarithmic, exponential and hyperbolic functions * Probability theory * a brief summary o… anonymous@undisclosed.example.com (Anonymous) maths Sun, 07 Sep 2025 11:52:06 +0000