Pages that link to "Mathematician:Dominic James Anthony Welsh"
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The following pages link to Mathematician:Dominic James Anthony Welsh:
Displayed 4 items.
- Mathematician:Dominic Welsh (redirect page) (← links)
- Set Difference as Intersection with Relative Complement (← links)
- De Méré's Paradox (← links)
- Conditional Probability Defines Probability Space (← links)
- Bayes' Theorem (← links)
- Pairwise Independence does not imply Independence (← links)
- Event Independence is Symmetric (← links)
- Disjoint Independent Events means One is Void (← links)
- Independent Events are Independent of Complement (← links)
- Probability of Independent Events Not Happening (← links)
- Total Probability Theorem (← links)
- Boole's Inequality (← links)
- Inclusion-Exclusion Principle (← links)
- Existence of Probability Space and Discrete Random Variable (← links)
- Countable Function on Power Set of Sample Space is Discrete Random Variable (← links)
- Characteristic Function on Event is Discrete Random Variable (← links)
- Poisson Distribution Gives Rise to Probability Mass Function (← links)
- Negative Binomial Distribution Gives Rise to Probability Mass Function/Second Form (← links)
- Bernoulli Process as Binomial Distribution (← links)
- Binomial Distribution Approximated by Poisson Distribution (← links)
- Function of Discrete Random Variable (← links)
- Expectation of Function of Discrete Random Variable (← links)
- Probability Mass Function of Function of Discrete Random Variable (← links)
- Variance as Expectation of Square minus Square of Expectation (← links)
- Derivative of Geometric Sequence (← links)
- Expectation of Binomial Distribution (← links)
- Expectation of Poisson Distribution (← links)
- Variance of Poisson Distribution (← links)
- Variance of Binomial Distribution (← links)
- Probability Generating Function of Bernoulli Distribution (← links)
- Probability Generating Function of Binomial Distribution (← links)
- Probability Generating Function of Shifted Geometric Distribution (← links)
- Probability Generating Function of Poisson Distribution (← links)
- Expectation of Discrete Random Variable from PGF (← links)
- Variance of Discrete Random Variable from PGF (← links)
- Total Expectation Theorem (← links)
- Expectation of Function of Joint Probability Mass Distribution (← links)
- Expectation is Linear (← links)
- Condition for Independence of Discrete Random Variables (← links)
- Condition for Independence from Product of Expectations (← links)
- PGF of Sum of Independent Discrete Random Variables (← links)
- PGF of Sum of Random Number of Independent Discrete Random Variables (← links)
- Sum of Independent Poisson Random Variables is Poisson (← links)
- Expectation of Poisson Distribution/Proof 2 (← links)
- Expectation of Shifted Geometric Distribution/Proof 1 (← links)
- Variance of Poisson Distribution/Proof 2 (← links)
- Event Space contains Sample Space (← links)
- Event Space contains Empty Set (← links)
- Power Set of Sample Space is Event Space (← links)
- Event Space from Single Subset of Sample Space (← links)
- Intersection of Events is Event (← links)
- Set Difference of Events is Event (← links)
- Symmetric Difference of Events is Event (← links)
- Probability of Empty Event is Zero (← links)
- Probability of Event not Occurring (← links)
- Countable Intersection of Events is Event (← links)
- Addition Law of Probability/Proof 2 (← links)
- Equivalence of Definitions of Independent Events (← links)
- Independent Events are Independent of Complement/General Result (← links)
- Probability of Limit of Sequence of Events/Increasing (← links)
- Probability of Limit of Sequence of Events/Decreasing (← links)
- Sum of Discrete Random Variables (← links)
- Product of Discrete Random Variables (← links)
- Bernoulli Process as Geometric Distribution/Shifted (← links)
- Geometric Distribution Gives Rise to Probability Mass Function/Shifted (← links)
- Bernoulli Process as Negative Binomial Distribution/Second Form (← links)
- Equivalence of Definitions of Variance of Discrete Random Variable (← links)
- Variance of Shifted Geometric Distribution/Proof 1 (← links)
- Variance of Shifted Geometric Distribution/Proof 2 (← links)
- Condition for Independence from Product of Expectations/Corollary (← links)
- Condition for Independence from Product of Expectations/Corollary/Converse (← links)
- Generating Function for Powers of Two (← links)
- Generating Function for Natural Numbers (← links)
- Generating Function for Binomial Coefficients (← links)
- Probability Generating Function of Zero (← links)
- Probability Generating Function of One (← links)
- Probability Generating Function as Expectation (← links)
- Probability Generating Function defines Probability Distribution (← links)
- Probability Generating Function of Negative Binomial Distribution/Second Form (← links)
- Probability Generating Function of Scalar Multiple of Random Variable (← links)
- Probability Generating Function of Shifted Random Variable (← links)
- Derivatives of Probability Generating Function at One (← links)
- Expectation of Square of Discrete Random Variable (← links)
- Expectation and Variance of Poisson Distribution equal its Parameter (← links)
- Expectation of Negative Binomial Distribution/Second Form (← links)
- Variance of Negative Binomial Distribution/Second Form (← links)
- PGF of Sum of Independent Discrete Random Variables/General Result (← links)
- Sum of Independent Binomial Random Variables (← links)
- Probability Measure is Monotone/Proof 1 (← links)
- Variance as Expectation of Square minus Square of Expectation/Discrete (← links)
- Function that Satisfies Axioms of Uncertainty (← links)
- Uncertainty/Examples/Example 1 (← links)
- Uncertainty Function satisfies Axioms of Uncertainty (← links)
- Function that Satisfies Axioms of Uncertainty/Proof (← links)
- Uniform Matroid is Matroid (← links)
- Free Matroid is Matroid (← links)
- Matroid Induced by Linear Independence in Vector Space is Matroid (← links)
- Cycle Matroid is Matroid (← links)
- Matroid Induced by Algebraic Independence is Matroid (← links)
- Matroid Induced by Affine Independence is Matroid (← links)
- Matroid Induced by Linear Independence in Abelian Group is Matroid (← links)
- Independent Set can be Augmented by Larger Independent Set (← links)
- All Bases of Matroid have same Cardinality (← links)
- Experiment/Examples/Throwing a 6-Sided Die (← links)
- Chain Rule for Probability (← links)
- Element is Loop iff Member of Closure of Empty Set (← links)
- Singleton is Dependent implies Rank is Zero/Corollary (← links)
- Superset of Dependent Set is Dependent/Corollary (← links)
- Closure of Subset contains Loop (← links)
- Element is Loop iff Singleton is Circuit (← links)
- Element is Member of Base iff Not Loop (← links)
- Distinct Elements are Parallel iff Pair forms Circuit (← links)
- Parallel Relationship is Transitive (← links)
- Distinct Matroid Elements are Parallel iff Each is in Closure of Other (← links)
- Closure of Subset Contains Parallel Elements (← links)
- Set with Two Parallel Elements is Dependent (← links)
- Loop Belongs to Every Flat (← links)
- Parallel Elements Depend on Same Subsets (← links)
- Matroid Contains No Loops iff Empty Set is Flat (← links)
- Rank of Empty Set is Zero (← links)
- Rank Function is Increasing (← links)
- Bounds for Rank of Subset (← links)
- Equivalence of Definitions of Matroid Rank Axioms/Condition 3 Implies Condition 1 (← links)
- Maximization Problem for Independence Systems (← links)
- Maximization Problem for Independence Systems/Greedy Algorithm (← links)
- Greedy Algorithm guarantees Maximum Weight iff Matroid (← links)
- Equivalence of Definitions of Matroid (← links)
- Matroid Unique Circuit Property/Corollary (← links)
- Matroid Base Substitution From Fundamental Circuit (← links)
- Sample Space/Examples/Throwing a 6-Sided Die (← links)
- Event/Examples/Prime Number on 6-Sided Die (← links)
- Event Space/Examples/Arbitrary Event Space on 6-Sided Die (← links)
- Set of Elementary Events belonging to k Events is Event (← links)
- Event Space of Experiment with Final Sample Space has Even Cardinality (← links)
- Probability of Union of Disjoint Events is Sum of Individual Probabilities (← links)
- Discrete Uniform Distribution gives rise to Probability Measure (← links)
- Probability Measure on Finite Sample Space (← links)
- Probability Measure on Single-Subset Event Space (← links)
- Probability Measure on Finite Sample Space/Corollary (← links)
- Probability of Set Difference of Events (← links)
- Inclusion-Exclusion Principle/Examples/3 Events in Event Space (← links)
- Inclusion-Exclusion Principle/Examples/3 Events in Event Space: Example (← links)
- De Méré's Paradox/Historical Note (← links)
- Equivalence of Definitions of Matroid Rank Axioms (← links)
- Rank of Matroid Circuit is One Less Than Cardinality (← links)
- Bound for Cardinality of Matroid Circuit (← links)
- Matroid with No Circuits Has Single Base (← links)
- Proper Subset of Matroid Circuit is Independent (← links)
- Equivalence of Definitions of Matroid Rank Axioms/Condition 3 Implies Condition 2 (← links)
- Equivalence of Definitions of Matroid Rank Axioms/Condition 2 Implies Condition 1 (← links)
- Matroid Unique Circuit Property/Proof 1 (← links)
- Equivalence of Definitions of Matroid Rank Axioms/Condition 1 Implies Condition 3/Proof 2 (← links)
- Circuits of Matroid iff Matroid Circuit Axioms/Formulation 2 implies Circuits of Matroid (← links)
- Circuits of Matroid iff Matroid Circuit Axioms/Circuits of Matroid implies Formulation 1 (← links)
- Equivalence of Definitions of Matroid Circuit Axioms/Formulation 1 Implies Formulation 2 (← links)
- Total Expectation Theorem/Also known as (← links)
- User:Prime.mover/Source Work Progress (← links)
- User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Base Axioms/Set of Matroid Bases Iff Axiom B1 (← links)
- User:Leigh.Samphier/Matroids (← links)
- User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Rank Axioms (← links)
- User:Leigh.Samphier/Matroids/Matroid Rank Function Iff Matroid Rank Axioms (← links)
- User:Leigh.Samphier/Matroids/Equivalence of Definitions of Matroid Rank Axioms/Formulation 2 Implies Formulation 1 (← links)
- Category:Axioms/Matroid Circuit Axioms (← links)
- Axiom:Kolmogorov Axioms (← links)
- Axiom:Axioms of Uncertainty (← links)
- Axiom:Axioms of Uncertainty/Axiom 1 (← links)
- Axiom:Axioms of Uncertainty/Axiom 2 (← links)
- Axiom:Axioms of Uncertainty/Axiom 3 (← links)
- Axiom:Axioms of Uncertainty/Axiom 4 (← links)
- Axiom:Axioms of Uncertainty/Axiom 5 (← links)
- Axiom:Axioms of Uncertainty/Axiom 6 (← links)
- Axiom:Axioms of Uncertainty/Axiom 7 (← links)
- Axiom:Axioms of Uncertainty/Axiom 8 (← links)
- Axiom:Axioms of Uncertainty/Historical Note (← links)
- Axiom:Base Axiom (Matroid) (← links)
- Axiom:Rank Axioms (Matroid)/Definition 1 (← links)
- Axiom:Rank Axioms (Matroid)/Definition 2 (← links)
- Axiom:Circuit Axioms (Matroid) (← links)
- Axiom:Circuit Axioms (Matroid)/Formulation 1 (← links)
- Axiom:Circuit Axioms (Matroid)/Formulation 2 (← links)
- Definition:Subset (← links)
- Definition:Set Union (← links)
- Definition:Set Intersection (← links)
- Definition:Set Difference (← links)
- Definition:Power Set (← links)
- Definition:Relative Complement (← links)
- Definition:Set Complement (← links)
- Definition:Ordered Tuple (← links)
- Definition:Integer (← links)
- Definition:Integers Modulo m (← links)
- Definition:Floor Function (← links)
- Definition:Ceiling Function (← links)
- Definition:Arithmetic Mean (← links)
- Definition:Generating Function (← links)
- Definition:Concatenation (Formal Systems) (← links)
- Definition:String (← links)
- Definition:Probability Space (← links)
- Definition:Sample Space (← links)
- Definition:Elementary Event (← links)
- Definition:Event Space (← links)
- Definition:Event (← links)
- Definition:Probability (← links)
- Definition:Additive Function (Measure Theory) (← links)
- Definition:Countably Additive Function (← links)
- Definition:Equiprobable Outcomes (← links)
- Definition:Conditional Probability (← links)
- Definition:Disjoint Events (← links)
- Definition:Partition (Probability Theory) (← links)
- Definition:Increasing Sequence of Events (← links)
- Definition:Decreasing Sequence of Events (← links)
- Definition:Probability Mass Function (← links)
- Definition:Bernoulli Distribution (← links)
- Definition:Binomial Distribution (← links)
- Definition:Poisson Distribution (← links)
- Definition:Probability Generating Function (← links)
- Definition:Marginal Probability Mass Function (← links)
- Definition:Moment (Probability Theory)/Discrete (← links)
- Definition:Venn Diagram (← links)
- Definition:Length of String (← links)
- Definition:Positive/Integer (← links)
- Definition:Characteristic Function (Set Theory)/Set (← links)
- Definition:Symmetric Difference/Definition 2 (← links)
- Definition:Probability Theory (← links)
- Definition:Event/Occurrence (← links)
- Definition:Event Space/Discrete (← links)
- Definition:Independent Events/Definition 1 (← links)
- Definition:Independent Events/Definition 2 (← links)
- Definition:Independent Events/General Definition (← links)
- Definition:Independent Events/Pairwise Independent (← links)
- Definition:Limit of Sequence of Events/Increasing (← links)
- Definition:Limit of Sequence of Events/Decreasing (← links)
- Definition:Probability Mass Function/Joint (← links)
- Definition:Geometric Distribution/Shifted (← links)
- Definition:Negative Binomial Distribution/Second Form (← links)
- Definition:Variance/Discrete/Definition 1 (← links)
- Definition:Variance/Discrete/Definition 2 (← links)
- Definition:Variance/Discrete/Definition 3 (← links)
- Definition:Independent Random Variables/Discrete/General Definition (← links)
- Definition:Independent Random Variables/Discrete/Pairwise Independent (← links)
- Definition:Independent Random Variables/Dependent (← links)
- Definition:Exponential Generating Function (← links)
- Definition:Formal Language/Alphabet (← links)
- Definition:Pairwise Disjoint Events (← links)
- Definition:Natural Logarithm/Notation (← links)
- Definition:Image of Mapping/Definition 1 (← links)
- Definition:Ordered Tuple/Notation (← links)
- Definition:Markov Chain (← links)
- Definition:Markov Chain/State Space (← links)
- Definition:Markov Chain/Homogeneous (← links)
- Definition:Countable Set/Definition 3 (← links)
- Definition:General Logarithm/Binary (← links)
- Definition:Reduced Residue System (← links)
- Definition:Coin/Coin-Tossing (← links)
- Definition:Big-O Notation/Real (← links)
- Definition:Binary Tuple (← links)
- Definition:Set of Strings of Given Length (← links)
- Definition:Set of Finite Strings (← links)
- Definition:Symmetric Mapping (Mapping Theory) (← links)
- Definition:Uncertainty (← links)
- Definition:Matroid/Independent Set (← links)
- Definition:Matroid/Dependent Set (← links)
- Definition:Base of Matroid (← links)
- Definition:Rank Function (Matroid) (← links)
- Definition:Rank (Matroid) (← links)
- Definition:Flat (Matroid) (← links)
- Definition:Depends Relation (Matroid) (← links)
- Definition:Closure Operator (Matroid) (← links)
- Definition:Spanning Subset (Matroid) (← links)
- Definition:Circuit (Matroid) (← links)
- Definition:Closure Axioms (Matroid) (← links)
- Definition:Isomorphism (Matroid) (← links)
- Definition:Uniform Matroid (← links)
- Definition:Free Matroid (← links)
- Definition:Matroid Induced by Linear Independence/Vector Space (← links)
- Definition:Cycle Matroid (← links)
- Definition:Vectorial Matroid (← links)
- Definition:Matroid Induced by Algebraic Independence (← links)
- Definition:Algebraic Matroid (← links)
- Definition:Affinely Dependent (← links)
- Definition:Affinely Dependent/Independent (← links)
- Definition:Loop (Matroid) (← links)
- Definition:Parallel (Matroid) (← links)
- Definition:Experiment/Also known as (← links)
- Definition:Experiment/Informal Definition (← links)
- Definition:Sample Space/Discrete (← links)
- Definition:Probability/Formal Definition (← links)
- Definition:Probability Measure/Definition 2 (← links)
- Definition:Expectation/Discrete (← links)
- Definition:Event/Occurrence/Intersection (← links)
- Definition:Event/Occurrence/Union (← links)
- Definition:Simple Matroid (← links)
- Definition:Extended Weight Function (← links)
- Definition:Matroid/Definition 2 (← links)
- Definition:Image of Subset under Mapping/Definition 1 (← links)
- Definition:Fundamental Circuit (Matroid) (← links)
- Definition:Independent Random Variables/Discrete/General Definition/Definition 1 (← links)
- Definition:Independent Random Variables/Discrete/General Definition/Definition 2 (← links)
- Definition:Random Variable/Discrete/Definition 1 (← links)
- Definition:Random Variable/Real-Valued/Definition 1 (← links)
- Definition:Independent Random Variables/Discrete (← links)
- Definition:Conditional Expectation/Discrete Case (← links)
- Definition:Set Complement/Notation (← links)
- Definition:Integer/Also known as (← links)
- Definition:Generating Function/Also denoted as (← links)
- Definition:Probability Generating Function/Also known as (← links)
- Definition:Event Space/Also denoted as (← links)
- Definition:Elementary Event/Also known as (← links)
- Mathematician:Geoffrey Richard Grimmett (← links)
- Book:Books (← links)
- Book:Geoffrey Grimmett/Probability: An Introduction (← links)
- Book:Dominic Welsh/Codes and Cryptography (← links)
- Book:Books/Discrete Mathematics (← links)
- Book:Books/Probability and Statistics (← links)
- Book:Geoffrey Grimmett/Probability: An Introduction/Second Edition (← links)
- Book:Dominic Welsh/Matroid Theory (← links)
- Mathematician:Mathematicians/Sorted By Nation/Britain (transclusion) (← links)
- Mathematician:Mathematicians/Sorted By Birthday/August (← links)
- Mathematician:Mathematicians/Sorted By Birth/1931 - 1940 CE (transclusion) (← links)