Interval
Summary
An interval is a set of real numbers that contains each real number between two of its elements. Examples are , , and itself.
What this node needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a node is. They do not measure its truth.
What depends on this
96 nodes use this node, directly or through other nodes.
- Picard–Lindelöf theorem in integral form 00BT70ND50
- Non-uniqueness for a non-Lipschitz equation 00K7ASZ1PR
- Exponential growth and decay 00SVP6W3CB
- Picard operator 00WAVB68F9
- Lotka–Volterra equations 00Y5QZ82AA
- Integral equation form of an initial value problem 015KK993C5
- Maximal solution 019VSXSFMQ
- Periodic orbit 01DSNP0B4R
- Integrating factor 01THH3Y3YP
- Uniqueness of solutions for Lipschitz vector fields 025PKW8AMR
- Flow of a vector field 02903SSA48
- Newton's law of cooling 02HB5F40VR
- Reduction of order 02SRXDAM3X
- C^1 vector fields satisfy the Picard–Lindelöf hypotheses 03Z9V0Y78A
- Lyapunov function 04P7B5XC22
- Solution of an ordinary differential equation 04SW7WECS8
- Phase plane 05VDGH129F
- Asymptotic stability 05Y1JAM3Y5
- LaSalle's invariance principle 0659J5X7B5
- Solution formula for linear first-order equations 06B9W45XV0
- Initial value problem 075VBY4K4X
- Autonomous system 07BNRFQ0PJ
- Grönwall's inequality 07EJHQYR9A
- Phase line 081QSEAGEY
- Power series solution 08RT9GDDPQ
- An iterate of the Picard operator is a contraction 08XDXP86XE
- Eigenvalue method for linear systems 08ZWFDJP3H
- Lyapunov stability 092S6VBECQ
- Peano existence theorem 098YP831QY
- Liouville's formula 09PS3S0EF6
- Linearisation at an equilibrium 09ZWYRQ41J
- Linear equation with constant coefficients 0A6PGTTP2A
- System of linear differential equations 0A6QZ367GX
- Solutions for complex conjugate roots 0BEZX8F2XW
- Global existence for globally Lipschitz vector fields 0BFD3A6CRH
- Trajectory 0BVT6VSB3S
- Hamiltonian system 0C2AKPDCD9
- Hyperbolic equilibrium point 0C5PREPZWG
- Logistic equation 0CC4VC7KR3
- Integrating factor for a non-exact equation 0CX86CR8JV
- Singular solution 0CZA0NCFWP
- Riccati equation 0E1ZZBHZ3Z
- Blow-up in finite time 0E4GXX7SJP
- Exact equation 0EC7AGJ0PX
- Limit cycle 0EERDDPSVT
- Homogeneous linear equation 0EQZSAB9EC
- Poincaré–Bendixson theorem 0EW1X61ZT1
- Superposition principle 0F2VBPXNP9
- Grönwall bound 0FRX8JD7QH
- Continuous dependence on initial data 0G3DBXRRQJ
- Equilibrium point 0G4X36AE0X
- General solution of an inhomogeneous linear equation 0GHWEH6H15
- Solution space of a homogeneous linear equation has dimension n 0GK68PZ6KH
- Fundamental system of solutions 0H4KNNCHPY
- Solutions for distinct real roots 0HJ0HDA6W7
- Solutions for repeated roots 0HRVY67CNV
- Lyapunov's stability theorem 0J6A752DTZ
- Picard–Lindelöf hypotheses 0J7HF2PF1H
- Euler method 0JARTXX4XP
- Underdamped 0JJ6GDDE7Z
- Estimate for approximate solutions 0JTPMCCZT2
- Solving initial value problems with the Laplace transform 0K3HFZJK5Q
- Homogeneous first-order equation 0K4ZWTFSV5
- Wronskian test for linear independence of solutions 0MHE4B1QCQ
- Fundamental matrix 0MQ24RBG93
- Test for exactness 0MSCQNFTM8
- Classification of equilibria of planar linear systems 0N7ATVF2X8
- Discrete Grönwall inequality 0NTM3J5MFE
- Picard–Lindelöf theorem 0P6KRD5B7A
- Linear differential equation of order n 0PB7K8M7FG
- Characteristic equation 0QDXMG46QW
- Picard iteration 0RJ5NHWYTP
- Slope field 0RKQQQACY7
- Damped harmonic oscillator 0RNXVVTJTJ
- Variation of constants formula for linear systems 0S1KG0XE40
- Hartman–Grobman theorem 0S8WX8A4V9
- Pendulum equation 0SHPXM2HWH
- Stability of linear systems via eigenvalues 0SKVEMXJWF
- General solution and particular solution 0SKYFQAFYD
- First integral 0SS1P1YC9A
- Phase portrait 0T3GK0XCBC
- Clairaut's equation 0T6D4PE51C
- Reduction of a higher-order equation to a first-order system 0TH9CPW3VS
- Separable equation 0V4E623THY
- Abel's identity 0VGWKX2JHB
- Homogeneous linear system with constant coefficients 0VJF99CZ0Z
- Time translation of solutions of an autonomous system 0WA7ZR95V4
- Cauchy–Euler equation 0WDNRBXX7K
- Nullcline 0WW060JR6P
- Forced oscillation and resonance 0X4NT20S3G
- Method of undetermined coefficients 0XRB469Z32
- Variation of parameters 0Y6TH5PQVS
- Matrix exponential as the solution of a linear system 0YC8JT513J
- Harmonic oscillator 0YG0ZJPTWG
- Linear first-order equation 0Z3YKRQZ48
- Bernoulli equation 0ZB84QCDKR
Sources
- Web https://en.wikipedia.org/wiki/Interval_(mathematics), lead section
What links here
Used by
- Solution of an ordinary differential equation 04SW7WECS8
- Grönwall's inequality 07EJHQYR9A
- Linear differential equation of order n 0PB7K8M7FG
- Separable equation 0V4E623THY
- Linear first-order equation 0Z3YKRQZ48
Definitions
- Interval 0TK8Y3J5RW