Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
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Graduate Is There Merit in Experimentation for Mathematical Discoveries?
- Playdo
- · Replies 52 ·
Undergrad Algebra Texts - Hungerford vs. Lang
- sparkster
- · Replies 7 ·
Graduate Min number dependent columns in a matrix
- gonzo
- · Replies 8 ·
Graduate G is Finite and Closure Under Associative Product: Proving Group
- asp
- · Replies 3 ·
Graduate Linear Indepedence of Egienvectors and Jordon blocks
- crazygrey
- · Replies 9 ·
Undergrad Matrix algebra - matrix equation
- Bitter
- · Replies 3 ·
Undergrad Complicated definitions of linear independence
- samh
- · Replies 17 ·
Undergrad Vector Geometry and Vector Spaces
- SudanBlack
- · Replies 1 ·
Graduate Revisiting Andrew Wiles' Proof of Fermat's Last Theorem: A Critical Analysis
- Rick21383
- · Replies 20 ·
High School Checking for Prime Numbers: A Quick Guide
- Loismustdie
- · Replies 1 ·
Graduate Can we find the value of log(p) using the Chebyshev function?
- eljose
- · Replies 11 ·
Graduate Can Column Deletion Create a New Linear Code?
- gonzo
- · Replies 2 ·
Graduate Finding units in polynomial quotient rings
- gonzo
- · Replies 13 ·
Undergrad Congruence Question: Proving m=n (mod p-1)
- StudentR
- · Replies 3 ·
Graduate A question on Hilbert space theory
- dextercioby
- · Replies 17 ·
Graduate Is A Required to Have Orthonormal Basis?
- pivoxa15
- · Replies 12 ·
Graduate Pi in Base 16 - special formula
- Antiphon
- · Replies 14 ·
Graduate What Are Free Groups, Free Products, and Isomorphisms?
- Oxymoron
- · Replies 22 ·
Graduate What Makes Freely Indecomposable Groups Essential in Mathematics?
- Oxymoron
- · Replies 7 ·
Undergrad How to Prove that (Z,+) is a Group?
- Edgardo
- · Replies 8 ·
Undergrad Inner products and orthogonal basis
- NullSpaceMan
- · Replies 4 ·
Graduate Algorithms for quantifying intersections of subspaces
- v0id
- · Replies 2 ·
Graduate Is x^2/y^2 an Ideal in the Ring F[x, y]?
- matness
- · Replies 4 ·
High School Sierpinski Spiral: An Intriguing Pattern of Prime Numbers
- lokofer
- · Replies 8 ·
Graduate Can the Poincare Conjecture Simplify 3D Objects for Mathematical Calculations?
- MarekS
- · Replies 3 ·
High School How to Find the Equation of a Parabola from Three Points?
- donlin
- · Replies 6 ·
Undergrad How is R4 space represented geometrically?
- Nothing000
- · Replies 4 ·
Undergrad Is it legitimate to treat matrices this way?
- pivoxa15
- · Replies 10 ·
Graduate Primorial: asymptotics and bounds
- CRGreathouse
- · Replies 5 ·
Undergrad Solving Upper Congruences: Step-by-Step Guide for x^{n}+a=mod(b)
- lokofer
- · Replies 8 ·
Graduate Tangent Vector Spaces: Clarifying Dimension and Interpretation
- rtharbaugh1
- · Replies 7 ·
Graduate What Are Codomains, Morphisms, and Transfinite Numbers in Mathematics?
- Skhandelwal
- · Replies 2 ·
Graduate Convergence of \psi(x)/x and \pi(x)/Li(x) to 1: How Fast?
- lokofer
- · Replies 5 ·
Undergrad Forming a Basis in R^3 - Explain the Correct Solution
- Chadlee88
- · Replies 2 ·
Graduate Show Automorphism Group Generated by s and t for \mathbb{Z} Graph
- Oxymoron
- · Replies 13 ·
Undergrad Find all vectors in R^3 that are perpendicular to [1; 3; -1]
- VinnyCee
- · Replies 1 ·
Graduate Basis of set of skew symmetric nxn matrices
- indigogirl
- · Replies 1 ·
Undergrad Find Polynomial of Degree <2 to Satisfy (1, p), (2, q), (3, r)
- VinnyCee
- · Replies 5 ·
Undergrad Proving gcd(rs , r + s)= 1: I'm in Over My Head!
- buddyholly9999
- · Replies 8 ·
Graduate Understanding Abstract Algebra to Groups, Modules, and Representations
- mathwonk
- · Replies 8 ·
Undergrad Birthday Minimum to cover all 365 days
- Aquafire
- · Replies 28 ·
Graduate What is the direct limit for a nested family of subobjects?
- homology
- · Replies 22 ·
Graduate Understanding the Adjoint of a Linear Transformation on an Inner Product Space
- pivoxa15
- · Replies 1 ·
Undergrad Is the Trace Method the Key to Proving Ab-ba=i Has No Solution?
- GreenApple
- · Replies 6 ·
High School Why are primes important in mathematics?
- lokofer
- · Replies 11 ·
Graduate Can the commutator subgroup of a free group have infinite index?
- Oxymoron
- · Replies 21 ·
Graduate The Formula for K-th Twin Prime - Is There One?
- lokofer
- · Replies 13 ·
Undergrad Vague question about polar coordinate basis
- jbusc
- · Replies 2 ·
Graduate Simple question regarding formulae for power series
- iamaelephant
- · Replies 1 ·
Undergrad How do you explain x+y+z=5 is a plane?
- Damned charming :)
- · Replies 20 ·
Graduate Understanding the Integers Modulo n Groups in Abstract Algebra
- BSMSMSTMSPHD
- · Replies 9 ·
Undergrad Divisibility of n by 7: Elementary Proof
- JFo
- · Replies 2 ·
Undergrad Parameter Within A Linear Equation Conjecture
- POSITION_VECTOR
- · Replies 6 ·
Graduate Why Does the von Mangoldt Formula Exhibit Discontinuities at Powers of Primes?
- saltydog
- · Replies 5 ·
Undergrad Valid Methods for Proving Statements: Assumption and Contradiction
- WhyIsItSo
- · Replies 15 ·
Graduate Equivalent sets in different vector spaces?
- pivoxa15
- · Replies 10 ·
Graduate Is There a Way to Solve the Integral Equation for Pi(x) Numerically?
- lokofer
- · Replies 3 ·
Undergrad What is the Proper Notation for Inductive Proofs with Multiple Variables?
- jbusc
- · Replies 2 ·
Graduate Question Regarding Goldbach's Conjecture
- Edwin
- · Replies 20 ·
Undergrad Something i didn't know about polynomials
- -Job-
- · Replies 8 ·
Graduate Is the Proof for the Nearest Point in a Cone Valid?
- kaosAD
- · Replies 5 ·
Graduate Can We Conjecture Asymptotic Behavior for Prime Number Series Beyond PNT?
- lokofer
- · Replies 3 ·
Graduate Moebius Transform Sum: Understanding the mu(x) Function for Prime Numbers
- lokofer
- · Replies 1 ·
Graduate Please double-check me (easy, important?)
- CRGreathouse
- · Replies 3 ·
Undergrad A Clarification on the Summation symbol
- relinquished™
- · Replies 7 ·
Undergrad Interpretation of matrix multiplication?
- pivoxa15
- · Replies 2 ·
Undergrad Matrices - finding a general solution.
- Agg
- · Replies 2 ·
Graduate Is the Lim Sup of the Difference of Primes Equal to 1?
- Dragonfall
- · Replies 4 ·
Graduate Pocklington's Criterion: A Closer Look
- CRGreathouse
- · Replies 2 ·
Graduate Finding small primes (fast determanistic tests)
- CRGreathouse
- · Replies 11 ·
Undergrad Prime Number Gaps - What's the Largest Integer Difference?
- rad0786
- · Replies 10 ·
Undergrad Solution to the general congruence
- eljose
- · Replies 2 ·
Undergrad Proving geometric theorems by vector method
- AlbertEinstein
- · Replies 1 ·
Undergrad How to Solve 32n + 3 = 0 mod p When p is Prime?
- ramsey2879
- · Replies 11 ·
Graduate The product between quaternion
- HeilPhysicsPhysics
- · Replies 3 ·
Undergrad Does ab ≡ 0 (mod m) imply a|m or b|m?
- imagination10
- · Replies 1 ·
Undergrad Any matrix as product of elementary matrices
- Castilla
- · Replies 8 ·
Graduate Can Trigonometric Series be Evaluated Using Euler-Maclaurin Sum Formula?
- eljose
- · Replies 5 ·
Graduate Proving F^\int as an Infinite Vector Space
- Awatarn
- · Replies 10 ·
Graduate Understanding the Hardy-Littlewood Circle Method: An Explanation and Example
- eljose
- · Replies 4 ·
Graduate Does the Laplace Transform Have an Orthonormal Basis in Hilbert Space?
- jbusc
- · Replies 5 ·
High School Solving for a: A Constant Value Equation
- jalaldn
- · Replies 8 ·
Undergrad Why is the Triangle Inequality |X+Y|<|X|+|Y| True?
- SeReNiTy
- · Replies 4 ·
Graduate An elementary problem equivalent to the Riemann hypothesis
- benorin
- · Replies 5 ·
Undergrad Vector rotation (possibly Euler angles)
- kevdoig
- · Replies 4 ·
High School Help! How Many Variations of a 4 Digit Number Exist?
- NellnBear
- · Replies 11 ·
Graduate Finding Matrix A from Dynamics x'=Ax
- shaner-baner
- · Replies 1 ·
Undergrad Example of a Nonlinear Operator | Math Definition
- Repetit
- · Replies 5 ·
Graduate Proving Theorem by Frobenius: The Number of Subgroups of Order p^k in a Group G
- learningphysics
- · Replies 12 ·
Graduate Determinant of a matrix over the integers mod n
- jdstokes
- · Replies 3 ·
Graduate Associating Abstract Spaces with Real Intervals: A Puzzling Continuity
- waht
- · Replies 14 ·
Undergrad Basics of multiplication of matrices
- Castilla
- · Replies 8 ·
Undergrad Need help please with combinding two equations
- PhysicsApprentice
- · Replies 1 ·
Graduate What is the explicit formula for h(n)?
- erszega
- · Replies 13 ·
Graduate What is an Algebra? Formal Requirements Explained
- Son Goku
- · Replies 2 ·
Graduate Is This Proof of the Prime Number Theorem Too Simple?
- eljose
- · Replies 13 ·
Graduate Which Unitary Matrices Keep A - UBU† Positive Definite?
- DavidK
- · Replies 4 ·
Undergrad How Many Elements Can the Set of Squares X Have?
- Dragonfall
- · Replies 10 ·
Graduate How Does Clifford Algebra Apply to Quantum Physics?
- CarlB
- · Replies 2 ·
Graduate How Can the Quotient Group G/Go Act Effectively on X?
- learningphysics
- · Replies 9 ·