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 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 ·
Graduate Is 2^n a Divisor of Binomial Coefficient B(2^n, m)?
- erszega
- · Replies 19 ·
Graduate Cayley-Hamilton Theorem: A Simple, Natural Argument
- mathwonk
- · Replies 7 ·
Graduate Does Erdos' Unresolved Conjecture Involve n-term Arithmetic Progressions?
- Dragonfall
- · Replies 1 ·
Graduate Equal vs. unequal bisection strategies to isolate a number
- Loren Booda
- · Replies 5 ·
Graduate How does quotient topology work and what shapes can you construct with it?
- waht
- · Replies 9 ·
Graduate Proving KerD^2=KerD and ImD=ImD^2 with Linear Transformations
- ergonomics
- · Replies 5 ·
Graduate What are the important examples of quivers and representations?
- matt grime
- · Replies 6 ·
Graduate Finding an operation that makes a group
- learningphysics
- · Replies 6 ·
Undergrad Proving the Uniqueness of the Sum of 3 Primes
- Mollet1955
- · Replies 8 ·
Graduate Smallest m to represent k as a sum of fractions with unit denominators
- bomba923
- · Replies 12 ·
Graduate Confirming Conjecture of Mersenne Primes and Square Triangular Numbers
- ramsey2879
- · Replies 26 ·
Undergrad Infinity geometric series question
- Emma O'shea
- · Replies 3 ·
Undergrad When Does the Equation Ax=B Have Unique, Multiple, or No Solutions?
- MathematicalPhysicist
- · Replies 1 ·
Graduate What is so special about 3(mod4)?
- Oxymoron
- · Replies 6 ·
Graduate Union of Subspaces of V: Proving Containment
- Awatarn
- · Replies 7 ·
Undergrad Finding Variables within Matricies Question
- Emma O'shea
- · Replies 3 ·
Graduate Twin Primes of the form (8n+5,8n+7)
- ramsey2879
- · Replies 11 ·
Graduate Binomial coefficient modulo a prime
- erszega
- · Replies 1 ·
Undergrad What Are the Different Types of Matrices and Solvers in Computational Programs?
- alpha754293
- · Replies 3 ·
Graduate Proving the Diophantine Equation x^3 + y^3 = 3z^3 Has No Integer Solutions
- gonzo
- · Replies 8 ·
Graduate Does an Automorphism on a C*-Algebra Induce a *-Isomorphism?
- Oxymoron
- · Replies 51 ·
Graduate A trick to proof RH using asymptotic Analysis
- eljose
- · Replies 1 ·
Graduate Associativity of the Killing form
- Cexy
- · Replies 5 ·
Undergrad Mathematics behind Rubik's Cube?
- Dunkaroos
- · Replies 4 ·
High School What is the golden ratio and why does it equal 1.618?
- Quantum1332
- · Replies 10 ·
Graduate Is the Formula for GCD(z, nm) = d_n*d_m Correct?
- xuying1209
- · Replies 1 ·
Graduate Is there such an identity about SO(3)?
- kakarukeys
- · Replies 3 ·
Graduate Relate Mersenne Primes To Sq Triangular Nos.
- ramsey2879
- · Replies 6 ·
Undergrad Difference between Kronecker delta and identity matrix
- loom91
- · Replies 6 ·
Undergrad What Defines Group Axioms in Mathematics?
- broegger
- · Replies 8 ·
Graduate Genus, differential forms, and algebraic geometry
- Hurkyl
- · Replies 37 ·
Undergrad Solve Index Arithmetic Problem: ax^4≡2 (mod 13)
- buzzmath
- · Replies 3 ·
Graduate Orthogonal transformation of matrix
- vabamyyr
- · Replies 1 ·
Graduate Minimizing Frobenius norm for rank p matrix V with constraint V^T V = I
- doodle
- · Replies 1 ·
Undergrad Geometric series formula for 1/3+1/3^2+1/3^3+...+1/3^n
- JCCol
- · Replies 2 ·
Graduate Does a Trivial Group Action Mean Every Element Maps to Itself?
- JFo
- · Replies 1 ·
Graduate Proving composition of one-to-one linear transformations is one-to-one
- angela123
- · Replies 4 ·
Undergrad Which formula for solving first common point?
- Journey
- · Replies 1 ·
Graduate What distinguishes cyclic groups of order 4 from the Klein four-group?
- Kanfoosh
- · Replies 5 ·
Undergrad Is there a simple method for solving quartic equations in radicals?
- AKG
- · Replies 7 ·
Graduate Group Representations and Young Tableaux
- AKG
- · Replies 4 ·
Graduate Primality test for Mersenne numbers using cycles of x^2-2
- T.Rex
- · Replies 11 ·
Graduate Four Objects Groups: Is x^4=e Sufficient?
- yetar
- · Replies 1 ·
Undergrad Why is XOR encryption with compression not cryptographically secure?
- jeffceth
- · Replies 3 ·
Graduate Factors of triangular numbers forming arithmetic series
- ramsey2879
- · Replies 4 ·
Undergrad Linear Algebra Test Prep: Determining Subspaces of Matnxn
- fasterthanjoao
- · Replies 6 ·
Graduate Continuous eigenvalue of n by n matrix
- ImagineLab
- · Replies 3 ·
Graduate Any conclusions about the gaps between p and p^2?
- maris205
- · Replies 5 ·
Graduate Perfect numbers beside 6 in mod6.
- MathematicalPhysicist
- · Replies 9 ·
Graduate Finite Modules and Surjective Endomorphisms: An Elementary Exploration
- mathwonk
- · Replies 4 ·
Graduate If you knew Pi(x) for every number
- eljose
- · Replies 7 ·
Graduate Proving Non-Simplicity of Algebra with Two Generators
- semisimple
- · Replies 2 ·
Graduate Undecidability and the Truth of the Continuum Hypothesis
- funkstar
- · Replies 8 ·
Why is it called a torsion group?
- DeadWolfe
- · Replies 1 ·
Graduate Combining coordinate transformations
- joeljkp
- · Replies 1 ·
Graduate Euler product and Goldbach conjecture
- eljose
- · Replies 1 ·
Graduate Finding Integer Solutions to Diophantine Equations
- bomba923
- · Replies 27 ·
Graduate Struggling to understand Lie Algebra: Constructing Weight Diagrams
- semisimple
- · Replies 4 ·
Graduate Triangular Number Conjecture: Recursive Series
- ramsey2879
- · Replies 8 ·
Graduate Algebraic Closure of Laurent Series
- AKG
- · Replies 6 ·
Graduate N=a^2+b^2+c^2, a.b.c.N are all integers(>0)
- neptunecs
- · Replies 7 ·
Graduate Adiabatic evolution of eigenvalues
- JustinLevy
- · Replies 8 ·
Graduate Formula for solutions to x² + y² ≡ 1 mod p using rational points
- AKG
- · Replies 7 ·
Graduate Dual Representation: Why Use g^{-1}?
- Pietjuh
- · Replies 3 ·
Graduate Wilson theorem and formulas for pi(x)
- eljose
- · Replies 10 ·
High School Where Can I Find a Free Ebook of Gilbert Strang's Linear Algebra?
- Ebolamonk3y
- · Replies 13 ·
Graduate Primes as roots of same function
- eljose
- · Replies 3 ·
Graduate Textbooks for abstract algebra and explanation of dual and quotient vector spaces
- SeReNiTy
- · Replies 10 ·
Undergrad Is There an Easier Proof for Proving Irreducibility of Polynomials?
- mathwonk
- · Replies 4 ·
Graduate How Can We Define a Function for Twin Primes Using Prime Counting Functions?
- eljose
- · Replies 12 ·
Graduate What Are the Implications of the Riemann Hypothesis for Prime Numbers?
- Borogoves
- · Replies 15 ·
Graduate Diagonalizability (in Hilbert Spaces)
- Euclid
- · Replies 11 ·
Graduate What,s the meaning of this expression?
- eljose
- · Replies 3 ·
Graduate ? about Godel's incomplete theorm
- raven1
- · Replies 5 ·
Graduate What is the Justification for the Conjecture on Intuitive Number Theory?
- eljose
- · Replies 5 ·
Graduate Finding all group extensions of Z_2 by Z_2
- calvino
- · Replies 2 ·
High School Suppose there is a cube and we can colour the cube's faces
- heman
- · Replies 4 ·
High School Last Digit of 3^999: Solving the Puzzle
- murshid_islam
- · Replies 8 ·
Undergrad Probability of [log₁₀(4x)]-[log₁₀(x)]=0 for x (0,1)
- Jameson
- · Replies 2 ·
Graduate Can Cosine or Sine Values be Expressed Using Roots of Rationals?
- gonzo
- · Replies 1 ·
Undergrad How much calculus in linear algebra?
- Weather Freak
- · Replies 5 ·
Undergrad Finding the Intersection of Subspaces with Given Spanning Vectors
- Tereno
- · Replies 2 ·
Graduate Proposition 36 of book IX in the elements
- MathematicalPhysicist
- · Replies 2 ·
Undergrad Is it by definition that i^2=-1
- pivoxa15
- · Replies 38 ·
Graduate HIlbert-Polya conjecture ¿proof or RH?
- eljose
- · Replies 2 ·
Graduate Proof for nonexistence of a prime counting function?
- Loren Booda
- · Replies 21 ·
Undergrad Inference of even or odd from the number of divisors?
- MathematicalPhysicist
- · Replies 4 ·
Graduate Can the Lebesgue Integral of a_p be Defined for Non-Differentiable Functions?
- eljose
- · Replies 8 ·
Undergrad Solve k^2-1=a^2+b^2: Find Positive Ints
- AM-GM
- · Replies 7 ·
Undergrad Can we prove linear independence with just matrix and vector information?
- swaldon
- · Replies 3 ·
Prime numbers get hitched article discussion
- ComputerGeek
- · Replies 6 ·
Undergrad How are abstract algebra concepts used in cryptography and error correction?
- heman
- · Replies 21 ·
Graduate Unconventional approach to primes and the Riemann hypothesis
- Canute
- · Replies 53 ·
Graduate Composite numbers and squares from recursive series
- ramsey2879
- · Replies 6 ·
Graduate Is the binary concatenation of non-negative integers irrational?
- Jimmy Snyder
- · Replies 15 ·
Graduate Linear Independence and Dependence in C^d: Questions from Abbas Edalat's Notes
- G.F.Again
- · Replies 4 ·
Graduate Understanding Orthogonal Projection in Linear Operators
- Treadstone 71
- · Replies 8 ·
Graduate How to prove normality of a field extension with Q(\sqrt{2+\sqrt{2}}):Q?
- gonzo
- · Replies 35 ·