Topics: Connected Graph - Graph Theory
(definition)
Let be a connected graph or a component.
If, when deleting a specific edge, the resulting graph is no longer connected, we call this edge a bridge or cut line.
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- Distribution Function
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- Divergence of a Vector Field
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- Empty Set
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- Error Propagation
- Estimator
- Eulerian Path
- Event
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- Excess Kurtosis
- Exhaustive Enumeration Method for MDPs
- Expanded Subgraph
- Expected Amount of Bets Before Ruin in the Gambler's Ruin Problem
- Expected Long Term Cost for a Policy in an MDP
- Expected Total Cost of an MDP Starting from a State
- Expected Value
- Expected Value and Variance of the Mean of a Random Sample
- Expressing a Piecewise Function with Shifted Unit Step Functions
- F Distribution
- False Position Method
- Finite and Stationary Markov Chain
- First-Passage Time
- Floating Point Form of Real Numbers
- Forest
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- Function
- Fundamental Theorems of the Laplace Transform
- Gambler's Ruin Problem
- Geometric Distribution
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- Graph Theory
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- Handshaking Lemma
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- Hasse Diagram
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- Height of Tree
- Hermite's Interpolation Method
- Histogram
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- Improper Integral
- Increasing and Decreasing Sequence
- Independent and Identically Distributed Random Variables
- Independent Trial Process
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- Inferential Statistics
- Infinite Collection of Sets
- Initial Probability Vector
- Injective Linear Transformation
- Inner Product
- Integral of a Surface
- Integral of a Vector Field over a Surface
- Integral Transform
- Interior Point
- Internal and External Degrees of a Vertex
- Interpolation
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- Intersection of Graphs
- Inverse Linear Transformation
- Inverse Relation
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- Lagrange Polynomial
- Laplace Transform
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- Laplace Transform of Simple Functions
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- Lattice
- Law of Cosines
- Law of the Unconscious Statistician
- Leaf Vertex
- Length Between Vertices
- Length of a Path
- Level Set
- Likelihood Function
- Limit of a Sequence
- Limit of a Vector-Valued Function
- Limit Point
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- Line Integral
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- Linear Function
- Linear Inequality
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- Markov Chain
- Markov Chain State Class
- Markov Decision Process
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- Markov Process
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- Mathematical Model
- Matrix of a Relation
- Maximum Likelihood Method for Obtaining Estimators
- MDP as a Linear Programming Problem
- Mean Deviation
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- Measure of Association
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- Measure of Dispersion
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- Median
- Median for a Set of Frequencies
- Metric Space
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- Moment-Generating Function
- Moment-Generating Function of the Sum of the Random Variables in a Random Sample
- Moments Method for Obtaining Estimators
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- n Step Transition Probability
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- Norm
- Norm under Real Numbers
- Normal Distribution
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- Normative Mathematical Model
- Number of Combinations
- One Step Transition Probability
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- Operations of Limits of Sequences
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- Order Relation
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- Parameter (Statistics)
- Parameter Set
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- Partial Fraction Decomposition
- Partially Ordered Set
- Partition of a Sample Space
- Partition of a Set
- Path
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- Path Integral Applications
- Pearson's Correlation Coefficient
- Permutation
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- Pigeonhole Principle
- Plane
- Plane Intersection
- Planes and Points
- Point Process
- Poisson Distribution
- Policy Improvement Method for MDPs
- Population
- Potential Function
- Powers of a Relation
- Probabilities with a Distribution Function
- Probability Measure
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- Probability of an Event
- Probability of Ruin in the Gambler's Ruin Problem
- Probability Space
- Product of an Associated Matrix and a Coordinate Vector
- Product Rule
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- Properties of the Expected Value
- Pseudodigraph
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- Random Vector
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- Range (Measure of Dispersion)
- Range of a Function
- Real Numbers as a Vector Space
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- Recurring Arcs
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- Relating Associated Matrices and Changes of Basis
- Relation
- Relations as a Set
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- Root Vertex
- Rooted Tree
- Rounding Error
- Sample
- Sample Space
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- Sampling Distribution of the Variance of a Normally Distributed Random Sample with an Unknown Expected Value
- Scientific Method in Statistics
- Secant Method
- Sequence
- Sequence of Random Variables
- Series
- Shifted Geometric Distribution
- Shifted Unit Step Function
- Simple Digraph
- Simple Graph
- Simple Trajectory
- Skewness
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- Standard Normal Distribution
- State Communication
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- Strongly Connected Graph
- Student's T-Distribution
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- Subsequence
- Successive Approximations Method for MDPs
- Sum of Graphs
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- Surjective Linear Transformations
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- Tangent Unit Vector
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- Two Line Cases
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- Unbiased Estimator
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- Uniformly Minimum-Variance Unbiased Estimator
- Union of Graphs
- Unit Step Function
- Upper and Lower Bounds
- Variable (Statistics)
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- Vector Field
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- Vector-Valued Function
- Vectorial Function
- Vertex
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- Weighted Mean
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- σ-Algebra
- A Constant Desire to Fix Things Keeps Them Broken
- Action Leads to Motivation
- Boredom Leads to Creativity
- Engaging Less with Intrusive Thoughts Makes Them Less Common
- Focus on the Habit Cue, not the Behaviour
- Good Feedback is Constructive and Actionable
- Habit
- Habits are Built By Getting Used to the Habit First
- I Am Not Responsible for How Others Perceive Me
- Identifying When Thoughts Drift Away From Reality is Key to Stop Overthinking
- If This, Then That Patterns as a Way of Being More Mindful
- Other People Don't Know Me as Well as I Do
- Others' Perception of Me Doesn't Define Who I Am
- Overthinking is Seldom About Reality
- Productivity is Doing the Right Things in the Right Amounts of Time
- Self-Awareness
- Small Actions Compound Over Time
- Time is a Social Construct
- Time is Going To Pass Whether You Start Something or Not
- Too Much Music Can Be a Bad Thing
- We Always Have Personal Influence Over Our Life
- What We Do to Achieve Our Goals Should Be Fun
- A Zettelkasten Forces You to Do Your Own Thinking
- A Zettelkasten is a Journey, Not a Destination
- A Zettelkasten isn't Like Wikipedia
- A Zettelkasten Makes Concepts Easily Accessible
- Atomicity
- Brains are Better at Thinking than at Storing Information
- Exercising the Brain is Just Like Exercising a Muscle
- Learning is Just Like Exercising a Muscle
- Notes in a Zettelkasten Have No Finished State
- Perfectionism Has No Place in a Zettelkasten
- The Value of a Zettelkasten in University
- Writing in a Zettelkasten Should Be Frictionless
- Zettelkasten