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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.

Math Proof Training and Practice

A gap in resources that should help students visualise mathematics

Math Guides, Tutorials and Articles

MHB Deriving the first and second order Newton-Cotes formulas

MHB Math Problem of the Week

POTW Sum of an Alternating Series
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MHB Problem-Solving Strategy for Dynamics Problems
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B List of Online Calculators for Math, Physics, Earth and Other Curiosities
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What Topics Do These Math FAQs Cover?
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6
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Insights Fixing Things Which Can Go Wrong With Complex Numbers
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11
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871
Insights What Exactly is Dirac’s Delta Function? - Insight
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5
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199
I Non-orthogonal bases
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12
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271
B Imaginary Pythagorus
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12
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230
Insights Fermat's Last Theorem
3
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105
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B An exact Paraxial equation derivation, 100% Cartesian
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6
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I Useless continued fraction for 1
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6
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216
I Proving Newton's forward difference interpolation formula
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1
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217
I Geometry problem of interest with a 3-4-5 triangle
2
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59
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B What could prove this wrong? I'm having a dispute with friends
2
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94
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I Software for entering Mathematics Equations
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5
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210
I Am I misapplying something here? (Exponentials; Euler's identity)
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3
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199
B Videos of 4D Die and Sphere
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3
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B Is this the right set mapping notation for a limit in two variables?
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8
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1K
B Six Pencil Puzzle
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26
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753
A Is this Recursive Pattern in the Collatz Sequence Known?
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3
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299
B More similar triangle problems
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16
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567
I Why fixed point iteration of ##x^3 = 1-x^2## doesn't converge when ##x_0= 0##
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16
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509
B How does the Riemann Hypothesis/Riemann Zeta function even work?
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17
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920
A Question about intersection of coordinate rings
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1
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626
B Excel: converting a 3-ish week count into a monthly count
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15
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1K
B Geometry Puzzle with 20 points in a cross pattern
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31
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2K
B Death Rally: an intricate probability problem?
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8
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2K
B Solving equations but getting an identity - what mistakes were made?
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4
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885
B About a definition: What is the number of terms of a polynomial P(x)?
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48
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A Leibniz Rule Videos on Digital-University
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I Solving a system of equations with 5 unknowns
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10
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B "Land capture" graph paper game
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13
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967
B In a triangle, is the angle between the points of contact of the inscribed circle with the sides 120 degrees?
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2
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873
B How do you multiply fractions again? My brain just froze 😅
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2
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868
I How to convince someone that an event repeating an infinite number of times does not guarantee every outcome?
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23
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2K
I Can Angular Velocity Accurately Control Ragdoll Limbs in Game Physics?
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6
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I ##x\lt y \lt z## positive integer numbers and if ##\dfrac 1x+\dfrac 1y+\dfrac 1z=\dfrac 13##
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6
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B How Many Straight Lines to Connect an N by M Array of Points in a Closed Loop?
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25
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B The Pitcher's Mound
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10
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B Is It Better to Run or Walk in the Rain?
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46
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I (0,1) is uncountable using binary expansions?
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15
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I How were "e" and "pi" found?
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26
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I How was this substitution possible?
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5
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903
A Challenging integral involving exponentials and logarithms
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14
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2K
B Are there English names for these formulas? (binomial formulas)
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42
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4K
B 1lb cube of 99% pure copper?
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10
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I Proof of a fact about real numbers - transcendental and algebraic
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7
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1K
B Which conditions should I check to see if a quadrilateral is a square?
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17
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2K
I Finding the Largest (or smallest) Value of a Function - given some constant symmetric errors
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3
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B How is it that law of sines does not work in this exercise?
2
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70
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A Expansion with respect to ##z_1##
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1
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1K
B How to prove this for every Arithmetic Progression?
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12
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1K
B Mass estimate only through mass rate of change
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4
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B Modelling object w/ functions, how to find volume loss from indents?
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9
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1K
B Given an equation, find the value of this expression
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17
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I How to see that cos(z) is unbounded, but cos(xy)+isin(xy) is bounded?
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8
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1K
B Understanding the Pythagorean Theorem
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38
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4K
Insights Why Vector Spaces Explain The World: A Historical Perspective
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0
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7K
I Billard balls on table
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10
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2K
I How is the Euclid Math Contest marked?
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2
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2K
B Estimating ##\pi## with darts
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15
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2K
B Probability of future event as predicted by laws of nature
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5
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I Exploring Interesting Mathematical Puzzles
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2
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I Can I add any number of zeros to 0.00 ... 1?
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30
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2K
I Calculating the odds of drawing 3 "no" notes from a hat with 3 "no" and 3 "yes" notes
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3
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1K
B Sine Multiplication
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5
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2K
MHB (Seemingly) Random Sequences
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7
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2K
I Open problems in continued fractions
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6
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3K
A new form of addition?
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8
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1K
B Is this a new theorem?
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9
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I Fermat point for quadrilaterals
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7
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I ABC triangle with integer sides
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17
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2K
A Fourier series approximation of a discontinuous eddy function
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1
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B "Half of normal distribution"
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9
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B Confused about ciphers in the book 'Arithmetic for the Practical Man'
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13
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2K
A Possible number of chess games
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20
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2K
B Nonsense can be truth in logic?
2
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84
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I Change of variables clarification
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5
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B Question about PEMDAS/BODMAS ambiguity
2
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77
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6K
B Need an on-line calculator for a simple calculation
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12
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3K
B The mathematics of transforming images in Adobe Premiere - Part 1
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2
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2K
B When are two vectors collinear and coplanar?
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10
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2K
I Transforming coordinates between Cartesian and spherical
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1
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2K
Solving simultaneous equations
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5
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I Can anyone solve this age problem?
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33
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2K
B Fractional/decimal powers
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10
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I My attempt to understand horizontal transformations of functions
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6
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I Relation between a circle and line in complex plane
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16
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2K
A Integral Points of an Elliptic Curve over a Cyclotomic Tower
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5
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I Proving that fractions are the same as division
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2
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A Proving Goldbach's conjecture by induction (or why it doesn't seem to work)
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10
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2K
B A simple trigonometry problem: Put eight coins around a central coin
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37
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8K
B Tips on developing and improving number sense and basic math skills
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13
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2K
B I had a question about a way to write Euler's identity
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10
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I Evaluation of the sum 1^m+3^m+5^m+ ....................(2n+1)^{m}
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1
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B How to find the objects' areas in this photo in mm^2?
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14
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B Older student going back to basics
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4
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B New solutions to old, historic problems
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2
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B Probability that 2 distinct integers are divisible by the same number
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9
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B How to cut a plate onto a tube at an angle?
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1
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2K
I Help with area formula using direction cosines
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3
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2K
I Zero raised to a positive real number
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12
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2K
I Question about ARMA process: Changing a Stochastic Process into a Transfer Function
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2
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I On base-b expansion of nonnegative reals
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7
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2K

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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