DF2014:Mathematician
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Profession  
Job Title  Mathematician  
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This article is about the current version of DF. 
This page contains information only relevant to DF 0.42.01 and newer. Most or all of this information does not apply to previous versions. Older saves from previous versions in the DF2014 release cycle are still compatible with this version. 
Mathematician is a scholar skill. It is used by scholars when thinking about mathematical topics.
Topic  Description  Wikipedia link  Subdivision 

Divergence of harmonic series  The divergence of the harmonic series  Harmonic series (mathematics)  Algebra 
Equations  The technique of balancing and completion for solving equations  The Compendious Book on Calculation by Completion and Balancing, Algebra, and Equation  Algebra 
Large sums  Simple formulas for certain arbitrarily large sums  Summation  Algebra 
Pascal's triangle  A triangular configuration of numbers relating to the successive powers of any sum  Pascal's triangle  Algebra 
Quadratic by completing square  The solving of quadratic equations by completion of the square  Completing the square  Algebra 
Quadratic formula  A formula which solves quadratic equations  Quadratic formula  Algebra 
Solving higher order polynomials  Methods for solving certain equations involving powers higher than the quadratic  Galois theory  Algebra 
Systems of equations  Methods of solving systems of equations  Linear system  Algebra 
Area enclosed by line and parabola  The area enclosed by a parabola and a line  The Quadrature of the Parabola  Geometry 
Area of circle  Area of a disk  Geometry  
Area of triangle from side lengths  Heron's formula  Geometry  
Basic geometry  Geometric objects: points, lines, circles, triangles, and so on  Geometry  Geometry 
Chords  The properties of chords  Chord (geometry)  Geometry 
Chord tables  A table of chord lengths indexed by angle  Ptolemy's table of chords  Geometry 
Conic sections  The categorization and properties of conic sections  Conic section  Geometry 
Existence of pi  The relationship between the area of a circle and its radius, involving the ratio of the circumference of the circle to its diameter  Pi  Geometry 
Geometric mean  The relationship between the length of the altitude of a right triangle and the lengths of the segments into which it divides the hypotenuse  Geometric mean theorem  Geometry 
Inscribed triangle on diameter is right  The angles of triangles inscribed in a circle with one edge on the diameter  Thales' theorem  Geometry 
Irrational numbers  The existence of incommensurable ratios  Irrational number  Geometry 
Isosceles base angles equal  The equality of the base angle of isosceles triangles  Pons asinorum  Geometry 
Law of sines  Law of sines  Geometry  
Pi to 6 digits  Zu Chongzhi § Mathematics and Milü  Geometry  
Pythagorean theorem  The relationship between the lengths of the hypotenuse of a right triangle and the other two sides  Pythagorean theorem  Geometry 
Pythagorean triples 3 digit  Examples of triples of large whole numbers which, when taken together, are the lengths of the sides of a right triangle  Pythagorean triples  Geometry 
Pythagorean triples 4 digit  Examples of triples of very large whole numbers which, when taken together, are the lengths of the sides of a right triangle  Pythagorean triples  Geometry 
Pythagorean triples small  Examples of triples of small whole numbers which, when taken together, are the lengths of the sides of a right triangle  Pythagorean triples  Geometry 
Similar and congruent triangles  The properties of similar and congruent triangles  Similarity (geometry) and Congruence (geometry)  Geometry 
Sumdifference trig identities  Trigonometric identities relating to the sums and differences of angles  List of trigonometric identities § Angle sum and difference identities  Geometry 
Surface area of sphere  The computation of the surface area of a sphere  Sphere § Surface area  Geometry 
Volume of cone  The computation of the volume of a cone  Cone § Volume  Geometry 
Volume of pyramid  The computation of the volume of different pyramids  Pyramid (geometry) § Volume  Geometry 
Volume of sphere  The computation of the volume of a sphere  Sphere § Volume  Geometry 
Axioms  Axiomatic reasoning  Axiomatic system  Method 
Method of exhaustion  An approximation of the ratio of a circumference of a circle to its diameter, using the area of polygons and the method of exhaustion  Method of exhaustion  Method 
Proof by contradiction  The method of proof by contradiction  Proof by contradiction  Method 
Algebra  Notation for abbreviating the unknown and other elements of an equation in a systematic and useful fashion  Algebra  Notation 
Negative numbers  Notation for negative quantities  Negative number  Notation 
Place values  Positional notation  Positional notation  Notation 
Scientific notation  Notation for very large numbers  Scientific notation  Notation 
Symbol for addition  The idea of using symbolic notation for addition  Plus and minus signs § Plus sign  Notation 
Zero  A symbol for nothingness  0 (number)  Notation 
Approximation of root 2  An approximation for the length of the diagonal of a square  Square root of 2 § History  Numbers 
Chinese remainder algorithm  An algorithm for computing a number which has given remainders when divided by several given primes  Chinese remainder theorem  Numbers 
Division  An algorithm for dividing one number into another, possibly yielding a remainder  Euclidean division  Numbers 
Euclid's Theorem  A proof that there are infinitely many prime numbers  Euclid's theorem  Numbers 
Euclidean Algorithm  An algorithm for computing the greatest common divisor of two numbers  Euclidean algorithm  Numbers 
Irrationality of root 2  A proof that the length of a diagonal of a square is incommensurable with its edge  Square root of 2 § Proofs of irrationality  Numbers 
Sieve algorithm for primes  Sieve of Eratosthenes  Numbers  
Unique prime factorization  The unique decomposition of a number into products of its prime divisors  Fundamental theorem of arithmetic  Numbers 