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Set Theory, Logic, Probability, Statistics Forum

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.

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High School Which Is the Correct Half-Life Formula?

Apr 11, 2005 · Replies 1 · Apr 11, 2005

Replies: 1

Views: 22K

Graduate Combinatorics: How Many Vectors with Square Sum = K?

Apr 11, 2005 · Replies 2 · Apr 11, 2005

Replies: 2

Views: 2K

Graduate Show that the set of points on a line is equinumerous

Jan 31, 2005 · Replies 12 · Apr 11, 2005

Replies: 12

Views: 4K

Graduate How Do Arrows Function as Elements in Category Theory?

Apr 8, 2005 · Replies 15 · Apr 10, 2005

Replies: 15

Views: 4K

Undergrad Calculating Probability of Pregnancy In Vitro

Apr 9, 2005 · Replies 1 · Apr 9, 2005

Replies: 1

Views: 4K

Graduate Why Is the Area Calculation of a Triangle Using Given Algorithms Unstable?

Apr 7, 2005 · Replies 1 · Apr 8, 2005

Replies: 1

Views: 2K

Undergrad Can you prove that this set is countable?

Apr 8, 2005 · Replies 7 · Apr 8, 2005

Replies: 7

Views: 9K

Graduate When Did Set Theory Become the Dominant Framework in Mathematics?

Apr 8, 2005 · Replies 1 · Apr 8, 2005

Replies: 1

Views: 2K

Undergrad Calculating Expected Value for Sweepstakes Prizes

Apr 8, 2005 · Replies 2 · Apr 8, 2005

Replies: 2

Views: 16K

Undergrad Calculating Probability of Golf Ball Landing Near Hole on 4th Hole

Apr 7, 2005 · Replies 5 · Apr 7, 2005

Replies: 5

Views: 3K

Graduate Calculating Probability of Markov Chain State in Discrete Time

Apr 7, 2005 · Replies 1 · Apr 7, 2005

Replies: 1

Views: 3K

Undergrad Calculate Average Duration of Snakes & Ladders Game

Apr 6, 2005 · Replies 6 · Apr 6, 2005

Replies: 6

Views: 9K

Undergrad Poisson Distribution Mean & SD: Solving for Y

Apr 6, 2005 · Replies 2 · Apr 6, 2005

Replies: 2

Views: 5K

Undergrad What is an elt as it applies to a Hasse diagram?

Apr 6, 2005 · Replies 2 · Apr 6, 2005

Replies: 2

Views: 2K

Undergrad What is the Probability of Someone Replicating Your Actions in a Day?

Apr 4, 2005 · Replies 4 · Apr 6, 2005

Replies: 4

Views: 2K

Graduate Identifying distributions in time series

Apr 4, 2005 · Replies 1 · Apr 5, 2005

Replies: 1

Views: 2K

Undergrad Its deciding which Stats method to use that the problem

Apr 1, 2005 · Replies 6 · Apr 4, 2005

Replies: 6

Views: 2K

Undergrad One of those hand shaking problems

Apr 2, 2005 · Replies 1 · Apr 3, 2005

Replies: 1

Views: 8K

Graduate Solve SAT Math & Listening Tests: 90% Confidence Interval

Mar 30, 2005 · Replies 2 · Apr 3, 2005

Replies: 2

Views: 5K

Undergrad How Many 3-Letter Arrangements of aabbcccdddd Are Possible?

Apr 1, 2005 · Replies 6 · Apr 2, 2005

Replies: 6

Views: 2K

Undergrad Topology for Beginners: Describing a Torus

Apr 1, 2005 · Replies 1 · Apr 2, 2005

Replies: 1

Views: 2K

Undergrad Learning statisticts and probability

Mar 29, 2005 · Replies 3 · Apr 1, 2005

Replies: 3

Views: 2K

Graduate Proving Equal Cardinality of 0 < x < 1 & 0 < x ≤ 1

Mar 31, 2005 · Replies 11 · Apr 1, 2005

Replies: 11

Views: 3K

Graduate Help with Metalogic Problem: Showing Sentence Truth Value

Mar 30, 2005 · Replies 4 · Mar 31, 2005

Replies: 4

Views: 3K

Undergrad Using summation with probability question

Mar 30, 2005 · Replies 5 · Mar 31, 2005

Replies: 5

Views: 6K

Graduate How can I prove [(A^B)-(B^C)]-(A^C)'=0 using contradiction?

Mar 1, 2005 · Replies 3 · Mar 30, 2005

Replies: 3

Views: 4K

Undergrad Probability of 0-6 Students in Class of 20 - Help!

Mar 26, 2005 · Replies 8 · Mar 30, 2005

Replies: 8

Views: 2K

High School Toss a Pair of Threes Twice: What Are the Odds?

Mar 17, 2005 · Replies 13 · Mar 29, 2005

Replies: 13

Views: 3K

Graduate Understanding 0-ary Functions: Universe & Individuals

Mar 28, 2005 · Replies 9 · Mar 29, 2005

Replies: 9

Views: 4K

Undergrad Can anyone confirm formula (combinations)

Mar 26, 2005 · Replies 3 · Mar 27, 2005

Replies: 3

Views: 3K

High School Can You Assume the Converse in Mathematical Proofs?

Mar 25, 2005 · Replies 4 · Mar 26, 2005

Replies: 4

Views: 2K

Undergrad Probability Distribution of X, Y & N(i): Questions & Answers

Mar 25, 2005 · Replies 3 · Mar 25, 2005

Replies: 3

Views: 2K

Undergrad How can I prove that 34n+2 + 26n+3 is divisible by 17 using induction?

Mar 23, 2005 · Replies 7 · Mar 24, 2005

Replies: 7

Views: 2K

Graduate Fourier analysis and prob. distributions?

Mar 16, 2005 · Replies 5 · Mar 23, 2005

Replies: 5

Views: 2K

Undergrad Probability question help

Mar 23, 2005 · Replies 1 · Mar 23, 2005

Replies: 1

Views: 2K

Graduate Poisson Approximation to Binomial

Mar 22, 2005 · Replies 2 · Mar 22, 2005

Replies: 2

Views: 12K

Undergrad Is a Spearman's Coefficient of 1 Indicative of a Linear Relationship?

Mar 22, 2005 · Replies 2 · Mar 22, 2005

Replies: 2

Views: 2K

Graduate Is It Ever Necessary to Assign Multiple Letters to a Single Sentence?

Mar 15, 2005 · Replies 13 · Mar 22, 2005

Replies: 13

Views: 3K

Graduate Making an open statement to satisfy two conditions help

Mar 22, 2005 · Replies 4 · Mar 22, 2005

Replies: 4

Views: 3K

Undergrad Why is Pascal's triangle a powerful tool in solving mathematical problems?

Mar 19, 2005 · Replies 4 · Mar 21, 2005

Replies: 4

Views: 2K

High School Help Needed: Proving Logical Equivalence of (C -> A) and (!C -> B)

Mar 20, 2005 · Replies 4 · Mar 21, 2005

Replies: 4

Views: 3K

Undergrad What is "Z" - Alphas, LaTex & MathType Explored

Mar 20, 2005 · Replies 3 · Mar 20, 2005

Replies: 3

Views: 2K

Undergrad Probability and Geometry

Mar 15, 2005 · Replies 17 · Mar 19, 2005

Replies: 17

Views: 4K

Graduate What is P(B) given conditional probabilities and the complement of A?

Mar 15, 2005 · Replies 5 · Mar 16, 2005

Replies: 5

Views: 3K

Graduate Understanding Uncountable Well-Ordered Sets: An Intuitive Explanation

Mar 12, 2005 · Replies 3 · Mar 15, 2005

Replies: 3

Views: 5K

Graduate Tableau Proof for All x P(x) V Q(x) $\supset$ Exists y P(y) V Exists z Q(z)

Mar 13, 2005 · Replies 2 · Mar 14, 2005

Replies: 2

Views: 2K

High School Calculating n!(N-n)!: N = 16, n = 3

Mar 13, 2005 · Replies 3 · Mar 14, 2005

Replies: 3

Views: 2K

High School FINANCIAL MATH: Question on Compounding Interest Semi-annually

Mar 13, 2005 · Replies 2 · Mar 13, 2005

Replies: 2

Views: 25K

Graduate Line of real numbers-transcendental numbers

Mar 2, 2005 · Replies 11 · Mar 11, 2005

Replies: 11

Views: 8K

Undergrad Calculating the Probability of a Shared Birthday among n People

Mar 5, 2005 · Replies 3 · Mar 10, 2005

Replies: 3

Views: 2K

Graduate Characteristic function of an exponential distribution

Mar 10, 2005 · Replies 1 · Mar 10, 2005

Replies: 1

Views: 9K

Graduate What is the loop invariant for proving the LCM algorithm?

Mar 5, 2005 · Replies 7 · Mar 10, 2005

Replies: 7

Views: 7K

Graduate Characteristic function (Probability)

Mar 9, 2005 · Replies 9 · Mar 10, 2005

Replies: 9

Views: 9K

Graduate What is the role of definitions in an axiomatic theory?

Mar 6, 2005 · Replies 9 · Mar 9, 2005

Replies: 9

Views: 6K

Undergrad Unknown in discrete variable problem

Mar 6, 2005 · Replies 3 · Mar 8, 2005

Replies: 3

Views: 3K

Undergrad Calculating the Expected Number of People Arriving at a Restaurant in an Hour

Mar 4, 2005 · Replies 6 · Mar 7, 2005

Replies: 6

Views: 4K

High School Such an easy math problem but i can't do it help

Mar 6, 2005 · Replies 2 · Mar 6, 2005

Replies: 2

Views: 2K

Graduate Understanding how Strong Induction works

Mar 2, 2005 · Replies 19 · Mar 6, 2005

Replies: 19

Views: 8K

Graduate Good books for logic, proofs course?

Mar 3, 2005 · Replies 8 · Mar 6, 2005

Replies: 8

Views: 6K

Undergrad Learning Probability: Solving a Density Function Problem

Mar 4, 2005 · Replies 2 · Mar 4, 2005

Replies: 2

Views: 2K

Graduate Proof that, (1/0 = 1/0) is false.

Feb 26, 2005 · Replies 81 · Mar 3, 2005

3

Replies: 81

Views: 11K

Graduate Proving the Existence of a Greatest Element in a Set

Mar 2, 2005 · Replies 9 · Mar 3, 2005

Replies: 9

Views: 2K

Undergrad Proving the Summation Formula for 1/(n(n+1)) Using Mathematical Induction

Mar 2, 2005 · Replies 3 · Mar 3, 2005

Replies: 3

Views: 3K

Undergrad Computing Statistical Distributions: A Practical Guide

Mar 1, 2005 · Replies 3 · Mar 2, 2005

Replies: 3

Views: 2K

Undergrad Master Propositional Logic Deductions: How to Infer R -> S with Q and R Premises

Mar 1, 2005 · Replies 8 · Mar 2, 2005

Replies: 8

Views: 2K

Graduate Who has actually read Godel's theorems?

Feb 17, 2005 · Replies 35 · Mar 2, 2005

2

Replies: 35

Views: 5K

Graduate Negating a Math Equation: ( \exists x ) ( \forall y ) \Phi (x,y )

Mar 1, 2005 · Replies 3 · Mar 1, 2005

Replies: 3

Views: 3K

Resolving Disagreements to Open-Minded Communication and Growth

Mar 1, 2005 · Replies 0 · Mar 1, 2005

Replies: 0

Views: 2K

Undergrad Solve Stats Prob: Colgate Total US Market Results

Feb 27, 2005 · Replies 3 · Mar 1, 2005

Replies: 3

Views: 3K

Undergrad Verifying Lottery Combinations: 49 Choose 6

Feb 23, 2005 · Replies 10 · Mar 1, 2005

Replies: 10

Views: 3K

Undergrad Find a: Solve Discrete Math Problem with a & x Intergers

Feb 28, 2005 · Replies 3 · Feb 28, 2005

Replies: 3

Views: 6K

Graduate Collecting different rules for Natural Deduction

Feb 27, 2005 · Replies 3 · Feb 28, 2005

Replies: 3

Views: 5K

Undergrad Proving: n^2 % 3 = 0 Implies n % 3 = 0

Feb 21, 2005 · Replies 8 · Feb 28, 2005

Replies: 8

Views: 4K

Undergrad Arbitrary function is true when n = 1

Feb 26, 2005 · Replies 9 · Feb 27, 2005

Replies: 9

Views: 2K

Graduate Countably infinite sigma-algebra

Feb 24, 2005 · Replies 1 · Feb 24, 2005

Replies: 1

Views: 7K

High School Steps on how to simplify log5/log125 to 1/3

Feb 24, 2005 · Replies 11 · Feb 24, 2005

Replies: 11

Views: 4K

Graduate How Do Weights and Degrees Influence the Structure of Logical Formulas?

Feb 24, 2005 · Replies 6 · Feb 24, 2005

Replies: 6

Views: 3K

Graduate Is the Russell Class a Member of Itself?

Feb 2, 2005 · Replies 15 · Feb 24, 2005

Replies: 15

Views: 6K

Undergrad Amazingly simple probability question

Feb 21, 2005 · Replies 4 · Feb 24, 2005

Replies: 4

Views: 3K

Graduate There Exists a Unique Solution?

Feb 11, 2005 · Replies 11 · Feb 23, 2005

Replies: 11

Views: 17K

Graduate The Paradox of Russell: Understanding Modern Set Theory

Jan 7, 2005 · Replies 21 · Feb 23, 2005

Replies: 21

Views: 6K

Graduate Proving XOR Commutativity: Sufficiency of Tautology

Feb 21, 2005 · Replies 2 · Feb 21, 2005

Replies: 2

Views: 3K

Graduate Proving the Law of Large Numbers & Chebyshev's Theorem

Feb 20, 2005 · Replies 1 · Feb 21, 2005

Replies: 1

Views: 5K

High School Are Disjoint Sets Truly Without Common Elements?

Feb 21, 2005 · Replies 1 · Feb 21, 2005

Replies: 1

Views: 5K

Undergrad How is the normal distribution formula derived?

Feb 20, 2005 · Replies 3 · Feb 20, 2005

Replies: 3

Views: 12K

Undergrad Question bout normal distribution:

Feb 18, 2005 · Replies 4 · Feb 20, 2005

Replies: 4

Views: 2K

Undergrad Logic and Set Theory Book Suggestions for Beginners

Feb 16, 2005 · Replies 3 · Feb 19, 2005

Replies: 3

Views: 4K

High School Fuzzy Logic Simplified: Understanding the Basics

Jan 9, 2005 · Replies 15 · Feb 19, 2005

Replies: 15

Views: 6K

High School Understanding the Probability of Coin Toss and Spin | MathWorld

Feb 14, 2005 · Replies 6 · Feb 17, 2005

Replies: 6

Views: 13K

Undergrad Is it possible to prove that -(-A)=A using the concept of set subtraction?

Feb 16, 2005 · Replies 4 · Feb 16, 2005

Replies: 4

Views: 2K

Graduate How can we prove theorems in mathematics without using specific functions?

Feb 2, 2005 · Replies 10 · Feb 16, 2005

Replies: 10

Views: 3K

Graduate What the hell is going on with this recursive function

Feb 8, 2005 · Replies 17 · Feb 14, 2005

Replies: 17

Views: 4K

Graduate Prove Jensen's Inequality: Var[X] ≥ (E[X])^2

Feb 14, 2005 · Replies 1 · Feb 14, 2005

Replies: 1

Views: 5K

Undergrad Spearman's Rank Correlation Coefficient

Feb 14, 2005 · Replies 1 · Feb 14, 2005

Replies: 1

Views: 5K

Graduate Quantifiers, emptiness, and vacuous truth

Feb 7, 2005 · Replies 9 · Feb 14, 2005

Replies: 9

Views: 6K

High School Quick set builder notation question

Feb 12, 2005 · Replies 6 · Feb 13, 2005

Replies: 6

Views: 4K

Graduate Question about gamma distribution

Feb 10, 2005 · Replies 1 · Feb 13, 2005

Replies: 1

Views: 5K

Graduate To parenthesize, or not to parenthesize (that is the question)

Feb 12, 2005 · Replies 8 · Feb 13, 2005

Replies: 8

Views: 3K

High School Just a general probablility question

Feb 6, 2005 · Replies 7 · Feb 12, 2005

Replies: 7

Views: 3K

Graduate Can infinities have different sizes?

Jan 30, 2005 · Replies 59 · Feb 12, 2005

2

Replies: 59

Views: 14K

Probability and Statistics

Probability and statistics are branches of mathematics that deal with the study of uncertainty, randomness, and data analysis. Probability focuses on quantifying uncertainty and likelihood, providing a framework for understanding chance and randomness in various events.

It involves concepts such as random variables, probability distributions, and the laws of probability. Statistics, on the other hand, involves collecting, organizing, analyzing, interpreting, and presenting data. It includes techniques for making inferences about populations based on sample data, estimating parameters, and testing hypotheses.

Together, probability and statistics play a crucial role in fields like science, finance, economics, and social sciences, enabling informed decision-making by providing tools to model uncertainty and draw meaningful conclusions from data.

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