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Mathematician
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This article was migrated from DF2014:Mathematician and may be inaccurate for the current version of DF (v50.08). See this page for more information. 
Association  

Profession  Scholar  
Job Title  Mathematician  
Labor  
Tasks  
 
Workshop  
None
 
Attributes  

v50.08 · v0.47.05 This article is about the current version of DF.Note that some content may still need to be updated. 
Mathematician is a scholar skill. It is used by scholars when thinking about mathematical topics:
Topic  Description  Wikipedia link  Subdivision  Skills used in research 

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