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Assuming "mathematics" is a general topic | Use as referring to a mathematical definition or a word instead
Mathematics
do basic arithmetic

125 + 375

do exact arithmetic with fractions

1/4 * (4 - 1/2)

compute a decimal approximation of a specified number of digits

pi to 1000 digits

convert a decimal number to another base

219 to binary

plot a function

plot x^3 - 6x^2 + 4x + 12

plot a region satisfying multiple inequalities

plot x^2+y^2<1 and y>x

solve an equation

x^3 - 4x^2 + 6x - 24 = 0

factor a polynomial

factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48

compute eigenvalues and eigenvectors of a matrix

eigenvalues {{4,1},{2,-1}}

calculate a derivative

derivative of x^4 sin x

compute an integral

integrate sin x dx from x=0 to pi

solve an ordinary differential equation

y'' + y = 0

compute properties of a geometric figure

annulus, inner radius=2, outer radius=5

plot a conic section and identify its type

2x^2 - 3xy + 4y^2 + 6x - 3y - 4 = 0

compute properties of a polyhedron

dodecahedron

compute a prime factorization

factor 70560

solve a Diophantine equation

solve 3x+4y=5 over the integers

compute a possible formula and continuation for a sequence

5, 14, 23, 32, 41, ...

analyze a graph specified by adjacency rules

1->2, 2->3, 3->1, 3->4, 4->1

solve a recurrence

f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2

minimize or maximize a function

maximize x(1-x)e^x

numerically integrate functions that cannot be integrated symbolically

integrate sin(cos x) from x=0 to 1

compute a truth table

P && (Q || R)

generate a Venn diagram

(complement S) intersect (A union B)

do computations with special functions

d/dx Si(x)^2

do computations with number-theoretic functions

phi(110)

find representations for a function

gamma(x) integral representation

compute properties of a function of a complex variable (use the variable z)

e^z

do vector analysis computations

div (x^3 y, y^3 z, z^3 x)

compute properties of a knot

8_1 knot

find information about a math concept

tangram

get a brief definition

basic definition of prime number

get information about a mathematical conjecture

Riemann Hypothesis

get historical information about a theorem

Fermat's little theorem

find the continued fraction representation of a number

continued fraction pi

find definitions of continued fraction terminology

what is a regular continued fraction

find continued fraction papers by author

continued fraction papers by Stern

 
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