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Difference between revisions of "DF2014:Mathematician"
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LethosorBot (talk | contribs) (LethosorBot moved page DF2014:Mathematician to Mathematician: Migrating v50 page (2639/4618) (content)) Tag: New redirect |
LethosorBot (talk | contribs) (Migrating v50 page (2639/4618) (content)) Tag: Removed redirect |
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| − | + | {{Quality|Superior|18:32, 1 June 2018 (UTC)}} | |
| + | {{Skill | ||
| + | | color = 3:0 | ||
| + | | skill = Mathematician | ||
| + | | profession = Scholar | ||
| + | | job name = | ||
| + | | tasks = * Ponder | ||
| + | * Discuss | ||
| + | * Research | ||
| + | | attributes = | ||
| + | *Memory | ||
| + | *Unknown | ||
| + | }} | ||
| + | {{av}} | ||
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| + | {{new in v0.42}} | ||
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| + | '''Mathematician''' is a [[scholar]] skill. It is used by scholars when thinking about mathematical [[topics]]: | ||
| + | |||
| + | {{DF2014:Topic/table/mathematics}} | ||
| + | |||
| + | {{Skills}} | ||
Latest revision as of 03:41, 20 December 2022
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| Profession | Scholar | |
| Job Title | Mathematician | |
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| This article is about an older 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 | 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 |
| Sum-difference 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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Critical thinker · Logician · Mathematician · Astronomer · Chemist · Geographer · Optics engineer · Fluid engineer · Wordsmith · Writer | ||||||||
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