Set Theory, Logic, Probability, Statistics Forum

Post thread
Join experts in discussion on Set Theory, Logic, Probability, Statistics topics. Fundamentals in Set theory, logic and proofs. Probability and statistics also. Homework help is available.
Graduate (Im)possibility to prove the Goodstein's theorem
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Doubt about the solutions of the equation aZ + bz + c = 0
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad NEED help for negative binomial distributon
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad How do I account for measurement uncertainties in temperature data analysis?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Why Prove \( x = y \) in \( \mathcal{P} \cup A \)?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad One-to-One Function: Definition & Examples
  • · Replies 2 ·
Replies
2
Views
1K
MHB How can you find the powerset of sets using simple identities?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Goodstein theorem without transfinite numbers?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Statistsics Mathematics Problem: Linear Regression
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Salmon's 'proof' for the existence of the empty set
  • · Replies 1 ·
Replies
1
Views
3K
Graduate "The Chase" Quiz Show -- probability of being caught by the Chaser
  • · Replies 1 ·
Replies
1
Views
2K
MHB What does "v belongs to v" mean?
  • · Replies 12 ·
Replies
12
Views
3K
MHB The set of all sets does not exist.
  • · Replies 2 ·
Replies
2
Views
5K
MHB Why Is $\{ x: \phi(x) \}$ a Set Given $Y$?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Convert a non-deterministic finite automata to a regular expression.
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Do I Derive the Distribution of 2θΣx_i for Independent Random Variables?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is A the Empty Set When A is a Subset of the Empty Set?
  • · Replies 8 ·
Replies
8
Views
2K
MHB How can I show that the sets are pairwise disjoint?
  • · Replies 12 ·
Replies
12
Views
2K
MHB How can I find the exact solution?
  • · Replies 15 ·
Replies
15
Views
3K
MHB Proving Uniqueness of a Set: A Logical Approach
  • · Replies 7 ·
Replies
7
Views
2K
MHB Help with Statistical Inference
  • · Replies 3 ·
Replies
3
Views
2K
Graduate E(X) and the Equality of Expectation: Debunked or Confirmed?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Sample Size and Standard Deviation of the Sampling Distribution of the Mean
  • · Replies 11 ·
Replies
11
Views
94K
Graduate Will an Immortal Snail Ever Reach the Other End of a Stretching Rubber Band?
  • · Replies 29 ·
Replies
29
Views
10K
MHB Proving K-Extendability of a Bipartite Graph
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Communicating Classes in Markov Chains
  • · Replies 2 ·
Replies
2
Views
1K
MHB Recurrence Relation: Master Theorem Solution
  • · Replies 2 ·
Replies
2
Views
1K
MHB Why can we not apply the theorem?
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad Conditional Probability Formula
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Logistic Regression Research: 99% Concordance, Few Significance
  • · Replies 1 ·
Replies
1
Views
1K
MHB Why Is the Empty Set Considered Unique?
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Expected value and variance of these sums
  • · Replies 2 ·
Replies
2
Views
1K
MHB Induction Proofs & Negative Proofs: Examining POTW 135
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Effective annual return rate and the annual percentage return rate
  • · Replies 6 ·
Replies
6
Views
2K
MHB Probability function (p.f) of a random variable
  • · Replies 1 ·
Replies
1
Views
2K
MHB Is the Equation in a Circle Correct?
  • · Replies 2 ·
Replies
2
Views
1K
MHB Can I Determine if a Formula is a Tautology by Finding its CNF and DNF?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Rewrite the following sentence as a formal proposition.
  • · Replies 2 ·
Replies
2
Views
2K
MHB How to give a proof of tautologies?
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Calculate the standard deviation of Gaussian distribution ,thanks
  • · Replies 2 ·
Replies
2
Views
1K
MHB Probability question involving finding gain or loss of a game
  • · Replies 4 ·
Replies
4
Views
2K
MHB How many subjects do I need to prepare for a 90% chance of passing the exam?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How good is a fit for a set of points?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Conditional Probability vs Normal
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Examples of A intersection B being an element of A
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Transforming Two Normal Random Variables into a Non-Central F Distribution
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Question on testing logical truths for set operations
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Non-parametric single set test of the mean
  • · Replies 8 ·
Replies
8
Views
2K
MHB Probability: Calculating the Chances of Success
  • · Replies 3 ·
Replies
3
Views
2K
MHB What is the relationship between Z-scores and probability?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is the Best Way to Determine Sampling Accuracy in Large Populations?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Proving $T(n)=O(n^2 \lg^2 n)$ Using Recurrence Relation
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Hierarchical Clustering: Ward linkage
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad A math foundation problem, of sorts
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Conditional Probability: Converting CDF to PDF for Independent Random Variables
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Empty set disjoint with itself paradoxical?
  • · Replies 22 ·
Replies
22
Views
4K
MHB How is Probability Applied in Newspaper Reading Time Statistics?
  • · Replies 9 ·
Replies
9
Views
5K
MHB Number of 7-Card Hands With 5 Spades & 2 Hearts
  • · Replies 8 ·
Replies
8
Views
4K
MHB Upper Bound for Recurrence Relation: $T(n) \leq c n^2 \log^2 n$
  • · Replies 6 ·
Replies
6
Views
2K
Graduate What is the Average Number of Guesses in a Game with Varying Step Sizes?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What Is a Grouping Factor in Graphical Modelling?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Testing Randomness in a Set of 200+ Data Points
  • · Replies 2 ·
Replies
2
Views
1K
MHB Finding the Autocovariance function
  • · Replies 5 ·
Replies
5
Views
2K
MHB You're welcome! Glad I could help. (Thumbs up)
  • · Replies 4 ·
Replies
4
Views
2K
MHB What is the negation of this statement and which statement is true, R or ¬R?
  • · Replies 10 ·
Replies
10
Views
3K
MHB What is the solution (rational function/interval table)?
  • · Replies 4 ·
Replies
4
Views
2K
MHB How do you solve and plot inequalities with multiple variables?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Natural deduction sets (Rules of nature deduction)
  • · Replies 3 ·
Replies
3
Views
2K
MHB What is the cartesian product of two sets?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Solving Asymetric Probability Distribution w/68% Interval
  • · Replies 2 ·
Replies
2
Views
1K
Graduate What Is the Dimension of a Graphical Model?
  • · Replies 1 ·
Replies
1
Views
923
MHB Can Single Element Sets Be Subsets of Power Sets?
  • · Replies 1 ·
Replies
1
Views
1K
High School Square root of 2 divided by 0 is rational?
  • · Replies 5 ·
Replies
5
Views
1K
MHB How do we know that i is at least one negative?
  • · Replies 2 ·
Replies
2
Views
2K
MHB How to find if there are outliers, given mean, median, etc
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Addition Rule for Random Variables
  • · Replies 3 ·
Replies
3
Views
1K
MHB Binomial probability or poisson?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Simple pictorial proof of the uncountability of irrationals?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Marginal probability density functions (pdf)
  • · Replies 1 ·
Replies
1
Views
2K
MHB MGF relating to random sum of random variables
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Selection bias with respect to potentially apocalyptic events
  • · Replies 4 ·
Replies
4
Views
1K
Graduate A confusion about Godel theorem and real numbers
  • · Replies 7 ·
Replies
7
Views
2K
Graduate "Probabilty amplitude" meaning ?
  • · Replies 7 ·
Replies
7
Views
2K
High School Number of Premises in a Syllogism ?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate How to fit given function to blurred data points?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Understanding Proof by Contradiction in Advanced Calculus
  • · Replies 1 ·
Replies
1
Views
1K
Graduate ZF Set Theory and Law of the Excluded Middle
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Exercise on (ir)rational numbers
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Conditional probability with joint condition
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Can someone please check my logic proof?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Gödel’s theorem: larger than proof?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Standard deviation as a percent?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Simple Proof for using Induction
  • · Replies 4 ·
Replies
4
Views
1K
MHB Proving by Induction: Solving Recurrence Relation
  • · Replies 5 ·
Replies
5
Views
2K
MHB Should these conditions be satisfied?
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Unique Dice Throwing Probability Question
  • · Replies 4 ·
Replies
4
Views
2K
MHB How to derive a recurrence relation from explicit form
  • · Replies 5 ·
Replies
5
Views
3K
MHB I have the data and need to make a prediction based on it (probability)
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Correct definition for statistical phenomenon
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Question regarding probability and normal distributions.
  • · Replies 3 ·
Replies
3
Views
1K