Examples

An instance of a concept.

Name	Tag	Kind	Level	MSC
Power set Boolean algebra	004J7ZEFAT	example	W0	06E05
Zero ring trivial-ring	008TBCYDPX	example	W2	16B99
Exponential growth and decay	00SVP6W3CB	example	W2	34A05
Lotka–Volterra equations predator-prey-equations, lotka-volterra-predator-prey-model	00Y5QZ82AA	example	W2	92D25, 34C25
Diffie–Hellman key exchange	01TKKESHSB	example	W2	94A60
Geometric series	01X5CVV1Q5	example	W2	40A05
Infinite cyclic group	02B1T50JD1	example	W0	20A05
Newton's law of cooling	02HB5F40VR	example	W2	80A19
Integral of exp(-x) over the half line	039JAF7ZAN	example	W0	40A10
Torus	03NM7DZXXC	example	W2	57K20
Complete graph	03WKB2H474	example	W2	05C99
Möbius strip mobius-band	04AJE0M271	example	W2	57K20
The dihedral group of order 8	054SBCQ93T	example	W2	20B25, 20D15
The rationals as the field of fractions of the integers	05K3J8J8T2	example	W0	13B30
Uniform metric on bounded functions sup-metric-on-bounded-functions	06HE9J7DXF	example	W0	46E99
Path graph	075WR6W3Y3	example	W2	05C38
Taxicab metric manhattan-metric, l1-metric	07CJNE6ZAQ	example	W2	51F99
Circulant matrix	07HFRH2AWY	example	W2	15B05
Sequence spaces lp lp-sequence-space	08P6T2WH6R	example	W2	46B45
The sequence 1/n tends to zero	08QAX4H1PF	example	W0	40A05
Tower of Hanoi	0906Z03EMN	example	W2	00A08
The symmetric group S3	09H9Y0Q11W	example	W2	20B30
The nth root of n tends to 1	0AVEYZ2T0Q	example	W0	40A05
Action on left cosets	0AZG100DKH	example	W0	20B05
Cofinite topology finite-complement-topology	0B906ZBTMZ	example	W0	54A05
Rotation matrix	0B9QNFGTHM	example	W2	15B10
Trivial group zero-group	0BNPC9850Y	example	W2	20A05
Additive group of integers integers-under-addition	0BSCJA5G53	example	W0	20K99
Cantor set cantor-ternary-set	0BXNDZFQME	example	W2	54F65
Logistic equation verhulst-equation	0CC4VC7KR3	example	W0	92D25
Harmonic series	0CXTMAY5PX	example	W2	40A05
Gaussian integral euler-poisson-integral	0DFT1GP1JP	example	W2	26A42, 40A10
Euclidean metric euclidean-distance	0E1MMCAY5B	example	W0	51M05
Base rate fallacy base-rate-neglect, false-positive-paradox	0E44JMG6NV	example	W0	62F15
Blow-up in finite time finite-time-blow-up	0E4GXX7SJP	example	W0	34C11
68–95–99.7 rule empirical-rule, three-sigma-rule	0EYQ03XCR3	example	W0	60E05
x sin(1/x) is continuous at 0	0EZMAY1FQD	example	W0	26A15
Cyclic group of order n integers-modulo-n-under-addition	0G0B3DRG65	example	W0	20K01
Sum of the reciprocals of the factorials	0G4D3ZKTP8	example	W0	40A05
Fibonacci sequence	0GA9K57A39	example	W0	11B39
The quaternions hamilton-quaternions	0GE4DVQKR8	example	W2	16K20
The alternating group A5 is simple	0GKQKF0FXJ	example	W0	20B30, 20D06
Decimal expansion as a series	0GT85FBPTS	example	W0	40A05
Function space	0GZB2SN0PH	example	W2	15A03, 46E99
Dirichlet integral	0GZNSHMG4Q	example	W2	26A42, 40A10
Binomial series	0HB0XKDXHH	example	W2	30B10
Thomae's function popcorn-function	0HJ28H9Y95	example	W0	26A15
RSA cryptosystem rivest-shamir-adleman	0HM584C465	example	W2	94A60
Existence of nth roots by the intermediate value theorem	0J29GM30Z7	example	W0	26A15
Space of polynomials of bounded degree	0JGZCDT5DN	example	W0	15A03
The ring of integers	0JHM6JK7FD	example	W0	13A99
Alternating harmonic series	0JQ5Y3WWVE	example	W0	40A05
Action by left multiplication	0K5TWJAGPD	example	W0	20B05
p-norm on R^n lp-norm-on-rn	0KNJWEVSMG	example	W0	46B20
Usual metric on the real line absolute-difference	0KXJTZSW9B	example	W2	54E35
Hilbert's hotel hilbert-grand-hotel, hilberts-hotel	0N3Y8G340X	example	W2	03E10
Discrete metric	0NA4FK7B8S	example	W0	54E35
exp(1/z) has an essential singularity at 0 exponential-of-one-over-z	0NB31CC4SN	example	W0	30D30
Birthday problem birthday-paradox	0NMWG2PHJ0	example	W0	60C05
0.999... equals 1	0NN5JEMTVE	example	W2	11A63
Cantor pairing function cantor-pairing	0NP5N5PYW5	example	W2	03E10
Petersen graph	0NR95CTFCZ	example	W2	05C99
Action by conjugation	0P8CY9V437	example	W0	20E45, 20B05
Sup norm on bounded continuous functions uniform-norm, supremum-norm	0PARCKE8WP	example	W2	46E15
The sequence r^n tends to zero for \|r\| < 1	0Q7K4AXE53	example	W0	40A05
Cycle graph	0QQ0F12962	example	W2	05C38
Geometric series as a power series	0R8JR0ARJ4	example	W0	13F25
Space of matrices	0RE6X3BGPN	example	W0	15A03
Damped harmonic oscillator	0RNXVVTJTJ	example	W0	70J30
Discrete topology discrete-space	0S2TEHX4E1	example	W2	54A05
Pendulum equation	0SHPXM2HWH	example	W0	70K05, 34C15
Differentiation as a linear map	0SS770NS8B	example	W0	15A04, 12E10
Integral of 1/z around the unit circle contour-integral-of-1-over-z	0SXZ68HV6F	example	W0	30E20
Bertrand paradox bertrands-paradox	0T0JWJ3M47	example	W2	60D05
Clairaut's equation	0T6D4PE51C	example	W2	34A09
p-metric on R^n lp-metric	0TFDZN6AXP	example	W0	46B20
The sequence r^n tends to infinity for r > 1	0TZK91NQE3	example	W0	40A05
Complete bipartite graph	0V0GC7BQAN	example	W2	05C99
Improper integral of x^p on an unbounded interval	0VGKB2NC4T	example	W0	40A10
Sup metric on R^n chebyshev-distance, maximum-metric	0VTAXQEWQD	example	W2	54E35
Turán graph	0VTCABADBE	example	W2	05C35
Two-element Boolean algebra	0WG43AC0EV	example	W0	06E05
Circle as a quotient of the real line real-line-modulo-integers	0WH1GVBJNH	example	W0	54B15
Cayley transform cayley-transform-of-the-upper-half-plane	0X45ZM731G	example	W0	30C20
Forced oscillation and resonance	0X4NT20S3G	example	W0	70J35
Indiscrete topology trivial-topology	0XJ02JBD6S	example	W2	54A05
Groups of order pq	0YBR6QPY4Y	example	W0	20D20
Seven Bridges of Königsberg	0YCW781Q9D	example	W2	05C45
Harmonic oscillator simple-harmonic-oscillator	0YG0ZJPTWG	example	W2	70J30
Integers modulo n as a quotient group	0YJ3WRR9RY	example	W0	20K01
Determinant as a group homomorphism	0YZ3T5Q7XN	example	W0	15A15