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Join in expert discussion on general math topics that are not applicable to the specific categories. This includes topics are usually high school math level. Homework help is available.

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Bishops and permutations on chessboard

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MHB Deriving the first and second order Newton-Cotes formulas

MHB Math Problem of the Week

POTW What Is the Infimum of This Set of Superior Limits?
MHB What is the Limit of the Hankel Determinant in a Matrix Challenge Problem?
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A Higher Order Operator Splitting Method
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A Choices of Axiomatic and Number Systems / Sets and Alternatives
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I Coordinate systems in ##\mathbb{R}^2##
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I Prove that complete graphs are subgraphs
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I What Is the New Dimension in Complex Number Graphs?
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MHB How many transmitters are needed to secure a 3x4 castle arrangement?
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MHB Challenge problem #4 Is it possible for all n switches to be on at the end
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I Explanation for parity difference for # of simple graphs
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MHB [ASK] Find 1/(1)+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+…+2009)
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997
MHB [ASK] Find 1/(1×2)+1/(2×3)+1/(3×4)+…+1/(2009×2010)
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I A nonlinear recurrence relation
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A Calculating Distance from Hand Movements in Surgical Procedures
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I Understanding Proof of Uniqueness
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MHB Challenge problem Find k if x=k is tangent to the curve y=x+√(2).e^[(x+y)/√(2)]
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I Chaos like phenomena on a simple metric space?
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I Understanding a Graph Theory Proof
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B Could someone verify how this simplifies?
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I Integer Cevians - Equilateral Triangles
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MHB Solve 2^3x+1=32: Find X Using Logs
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MHB Cobb-Douglas Production Function
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B Something Fun I Stumbled Across
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MHB Proving Identities Using Axioms of Equality
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B Optimizing Sum of Non-Abundant Numbers
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MHB Circumcircles Find a formula relating R,R_1,R_2.
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MHB Determine the values of f(6) and g(6)
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B How to find a length of a "radius" not centered in a circle?
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I How Do I Find the Slope and Intercept of this Crystal Formation Experiment?
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MHB Help Needed: Vectors - Calculate Plane Velocity & Direction
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MHB Create an equation for the graph using the y = ae^(bx)cos(cx)
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B Equations vs. Functions Quadratic and Cubic?
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MHB What are the axioms underlying the definition of sine?
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B Fermat's little theorem proof?
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MHB Calculating Mark-up: Understanding % Increase in Price for Retailers
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B Question about Georg Cantor's Diagonal
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Keeping track of different mathematical works
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MHB Why is Angle C Assumed to be Acute and What is the Value of Sin C in ∆ABC?
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B How do you multiply percents on paper
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I What is the exponential decay equation for a bouncing ball?
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MHB Stuck solving a complex equation for T
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MHB Write 2.158 radians in terms of Pi
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MHB Find Roles Filled w/ Dale or Margaret: 65 Chars
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MHB Geometric Sequence find the 23rd term.
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I Differentiating vector dot product
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I Proof that 1 is an odd number using Peano Axioms of naturals
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MHB Challenge problem #2 Show that 5φ^2n+4(−1)^n is a perfect square
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3
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MHB Calculating Your $10,000 Loan Payment
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MHB Solve the nth term for the following list: 1/2, 5/6, 1, 1 1/10
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12
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A How to Approach Solving a Complex Trigonometric Integral?
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B Why Does a^2 + b^2 Have No Solution?
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MHB Finding Coordinates of Intersection in Parametric Forms
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A New Discovery: τ - Maths on Facebook
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Mathematical Structure and Mathematical Space Hierarchies
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How to Write the Inverse of a Matrix Using Einstein Summation Notation?
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MHB Length of sides of right triangle with 1 angle and 1 side
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B A question about Gauss' Theorem
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B Doing proofs: Setting an expression as a variable
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MHB What is the smallest side length BC of triangle ABC with fixed angle and area?
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MHB Find C's Coordinates for Right Triangle ABC
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MHB Precalculus help --> cos2x=3/5 and 90<x<180
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MHB Construct the 99% confidence interval estimate
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B Brushing Up Math Knowledge: Basic Trig Questions
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MHB Proving $\int_{0}^{\infty}{\tanh^2(t)\tanh(2t)\over t^2}\mathrm dt=2\ln 2$
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MHB Integral of tan^2 ln^2: $\pi/2 (1-\ln 2)$
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MHB An interesting Integral = (2π)^2(ln2)
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I Permutation of identical elements
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MHB Five, Phi and Pi in one integral = −5ϕπ
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MHB Solving for the Speed to Reach a Star 240 Light Years Away
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MHB Simplify a fractional expression
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MHB Graph y=g(x): Sketch for [0,5] \implies R
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B If 0.999.... = 1 , Does 0.00....1 = 0
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MHB Long Integral equals (π/2)^2−[2ln(2)/]π^2+ln^2(2)/(2π)
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MHB Integral of sine = 27/2+ln^2(2)+ln(2)
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MHB Integral of product = π/9[12ln(2)−1]
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I Limit of Extension: Can Function Have Different Limit?
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MHB Object Distance & Magnification: Explained w/Diagram
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MHB What is the current in a wire loop outside a solenoid with a changing current?
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MHB Explaining Number Systems to Students: Ideas & Solutions
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MHB Challenge problem #1 Solve 2x^2y^2−2xy+x^2+y^2−2x−2y+3=0
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A Looking for a method of solution/inversion for x*Tanh[x]
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MHB How to Verify the Complex Integral Equals π/(1+n)?
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MHB How to Solve the Arctan Integral Equal to π^2/20?
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MHB Solving for Slit Width-Wavelength Ratio at $\pm90°$ Diffraction Pattern
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MHB Calculating real world Liquid gas values
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MHB Quite complicated integral= sin(π/12)
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MHB The Chromatic Number of the Plane is at Least 5
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MHB Rearranging simple equation by making x the subject: 205 = ((4*pi*x*f)/c)^2
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MHB How to Prove the Integral Result Equals ln(2) - ζ(2)/4?
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B Mistake in my complex exponentiation: where?
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I Long math equation for my sister's 25th birthday please
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MHB Find position vector using midpoint of two other vectors
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Is Math Certain? Biochemistry Senior Seeks Answer
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MHB Geocaching: Solve a+b=c c/b=b/a Problem
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MHB Need help figuring out how to calculate new calendar
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MHB Can you help me solve (3-2/3)(1-5/7)?
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MHB Finding last digits of 983389^389
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MHB Find Probability of Male Mouse Given Gray: 8 Mice, 3 Males
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MHB Carl Sontag's Interest & Discount Note Comparison
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MHB Can the Partial Sum of a Difficult Series be Solved with Induction?
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6
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MHB Left-Tailed Test Rejects Null Hypothesis at 0.05 Level
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Mathematics

Mathematics, often referred to as the language of the universe, is the systematic study of patterns, structures, and relationships using numbers, quantities, shapes, and symbols.

It is a fundamental discipline that provides tools for logical reasoning, problem-solving, and quantitative analysis. Math is divided into various branches, including algebra, geometry, calculus, statistics, and more, each serving unique purposes across diverse fields.

Whether applied in science, engineering, economics, or everyday life, mathematics offers a universal framework for understanding and modeling the intricacies of the world around us, making it an essential and foundational element of human knowledge and intellectual inquiry.

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