Mathematician

xTATTEREDx  · +FINE+  · *SUPERIOR*  · ≡EXCEPTIONAL≡  · ☼MASTERWORK☼

Skill: Mathematician

Association
Profession	Scholar
Job Title	Mathematician
Labor
Tasks
Ponder Discuss Research
Workshop
None
Attributes
Memory Unknown

v50.12 · v0.47.05 This article is about the current version of DF. Note that some content may still need to be updated. More Info · V

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
Sum-difference 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

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