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.
Threads
Graduate Have Unusual Theorems on Vector Spaces and Semigroups Been Explored?
- jcsd
- · Replies 5 ·
Graduate Could Riemann Hypothesis be completely false?
- eljose
- · Replies 20 ·
Graduate Preadditive categories are all Abelian
- Don Aman
- · Replies 16 ·
Graduate Reduced Homology: Modding Z(+)Z & Zeroth Homology
- homology
- · Replies 3 ·
Undergrad Euler's Method of proving primes r infinite
- Aditya89
- · Replies 4 ·
Undergrad The Diagonal Method: Proving Sets are Infinite
- Aditya89
- · Replies 5 ·
Graduate Proving b>(m+1)^2 for Perfect Square Conditions
- Aditya89
- · Replies 6 ·
Undergrad Can n choose k be proven as a natural number without using induction?
- jackbauer
- · Replies 18 ·
Undergrad What Are Dummy Variables and How Are They Used?
- asdf1
- · Replies 7 ·
Undergrad Is My Homemade Encryption Method Secure Enough for Real-World Use?
- LizardKing23
- · Replies 6 ·
Undergrad Is X*a#/X*b# Equal to a%/b%?
- lockecole
- · Replies 1 ·
Undergrad Can Pi be Constructed on a Number Line Using Non-Traditional Tools?
- vaishakh
- · Replies 7 ·
Undergrad Can Pi be Used as a Random Number Generator for Proving Normality?
- waht
- · Replies 3 ·
Graduate Powers of cycles? Orders of elements?
- calvino
- · Replies 1 ·
Graduate Is it possible to show that so(4) is equal to su(2) direct sum su(2)?
- Anthony
- · Replies 9 ·
Undergrad Finding Perfect Squares of n Factored as a^4*b^3*c^7
- shravan
- · Replies 3 ·
Undergrad Are There Prime Factors of the Same Form for Integers of Form 3n+2?
- ComputerGeek
- · Replies 7 ·
Undergrad General how to find the eigenvectors/values
- johnnyboy2005
- · Replies 4 ·
Graduate Interesting problem from my analysis class
- StonedPanda
- · Replies 6 ·
High School The Origin of "m" in Linear Functions
- Quadratic
- · Replies 1 ·
High School How to calculate the number of prime factors of 360?
- shravan
- · Replies 4 ·
Undergrad Any Good Literature or Books on Number Theory
- bomba923
- · Replies 4 ·
Graduate GNFS Factorization of RSA640 by Franke et al.
- aravindsubramanian
- · Replies 12 ·
Undergrad Understanding the Odd Permutation Product Mystery
- johnnyboy2005
- · Replies 10 ·
Graduate Understanding Hilbert Space: Representing & Calculating Length of Functions
- jwsiii
- · Replies 15 ·
Graduate N elevators serving M floors most efficiently
- Loren Booda
- · Replies 4 ·
Undergrad Is there an explanation for why i^i is a real number?
- Jameson
- · Replies 3 ·
High School What is the meaning of i, j, k in vectors?
- DB
- · Replies 4 ·
Graduate Do All Small Colimits Exist in Algebra?
- Hurkyl
- · Replies 8 ·
Graduate Is There Evidence Supporting Multiple Twin Primes in Specified Intervals?
- jnorris
- · Replies 3 ·
Undergrad What Are the Various Applications of Matrices Beyond Solving Equations?
- DeadWolfe
- · Replies 7 ·
Undergrad Please recommend textbook for self study
- ron damon
- · Replies 15 ·
Graduate Understanding Prevarieties and Affine Varieties in Projective Space
- dg0666
- · Replies 7 ·
Graduate Understanding Quotient Fields and Functors in Commutative Algebra
- Hurkyl
- · Replies 10 ·
Graduate I've just come across one-forms for the first time
- Adriadne
- · Replies 25 ·
Undergrad A little help with Linear Transformations
- Rounder01
- · Replies 2 ·
Undergrad What exactly is Abstract Algebra?
- RJC
- · Replies 9 ·
Graduate Algebra for Homology: A Resource Guide
- homology
- · Replies 1 ·
Graduate The Epstein Zeta Function: Definition, Zeros, and Functional Equation Explained
- eljose
- · Replies 2 ·
Graduate Proving Twin Primes with n and n+2 mod n(n+2)
- SomeRandomGuy
- · Replies 4 ·
Undergrad Thinking about matrices/polynomials
- eep
- · Replies 2 ·
Undergrad Havin' problem in vector direction
- kanki
- · Replies 11 ·
Graduate Why was matrix multiplication defined the way it is?
- quasar987
- · Replies 1 ·
Graduate Notation of ln_2(k): Logarithmic or Trig Functions?
- CRGreathouse
- · Replies 2 ·
Graduate Quick question on a group definition
- Zurtex
- · Replies 7 ·
Graduate A proof of Riemann hypothesis (but of course the snobbish journals don,t want
- eljose
- · Replies 11 ·
Undergrad Linear Regression, Linear Least Squares, Least Squares, Non-linear Least Squares
- hotvette
- · Replies 4 ·
Graduate Is the Boundary of an Open Set Always Its Complement?
- Adriadne
- · Replies 13 ·
Graduate Grade Iterated Möbius Transformations Essay | Any University
- Karoly
- · Replies 14 ·
Graduate Why is scalar multiplication on vector spaces not commutative?
- honestrosewater
- · Replies 3 ·
Graduate Proving Linear Transformation of Polynomials: Let Px be union of all polynomials
- 'AQF
- · Replies 3 ·
Undergrad Example of Non-Square Relatively Prime Integers w/ Square Product
- bobsmiters
- · Replies 2 ·
Graduate Proof of gcd and lcm properties for prime factorizations
- bobsmiters
- · Replies 2 ·
Undergrad Is Zn a group under addition modulo n?
- roger
- · Replies 4 ·
Undergrad Can the Null Space of a Matrix Be the Same as Its Transpose?
- complexhuman
- · Replies 1 ·
Graduate What is Group Theory and How Does it Relate to Representation Theory?
- matt grime
- · Replies 3 ·
Undergrad How Can I Access Online Textbooks for University Level Math Courses?
- fahd
- · Replies 5 ·
High School How Can You Easily Square Big Numbers Without a Calculator?
- mepcotterell
- · Replies 2 ·
Fibonacci Phi - The Golden Ratio
- Fractal Freak
- · Replies 19 ·
Undergrad How was the vector cross product derived?
- john fairbanks
- · Replies 5 ·
Undergrad Why Does the Determinant of a Matrix Represent the Cross Product?
- thechunk
- · Replies 10 ·
Undergrad Why people need to define determinant ?
- matness
- · Replies 2 ·
Undergrad Bijection, Injection, and Surjection
- amcavoy
- · Replies 14 ·
Undergrad Does (a^m^2 + 1) Divide (a^n^2 - 1) for n > m?
- JdotAckdot
- · Replies 1 ·
Graduate Examples of Finite Non-Commutative Rings
- murshid_islam
- · Replies 2 ·
Graduate Mathematics Journal, Proof for
- TimNguyen
- · Replies 4 ·
Undergrad Is 1 Really Equal to .9999999999999999999?
- Demodocus
- · Replies 3 ·
Graduate Vectors and the Menelaus Theorem
- ronblack2003
- · Replies 2 ·
Graduate Abstract Algebra - Compositions
- TimNguyen
- · Replies 2 ·
Undergrad Classification of diagonalizable matrices
- looth
- · Replies 7 ·
Graduate God, I hate Number Theory Proofs
- Shinjo
- · Replies 6 ·
Graduate Prove that that every symmetric real matrix is diagonalizable?
- complexhuman
- · Replies 1 ·
Graduate Does Ax=Bx for All Vectors Guarantee A=B for Matrices?
- eddo
- · Replies 3 ·
Graduate Quick Clarification Quite Curious
- bomba923
- · Replies 1 ·
Graduate Prove if a ring has a unity, then it is unique
- SomeRandomGuy
- · Replies 4 ·
Undergrad Represent a matrix on the (x,y)-plane
- hgj
- · Replies 2 ·
Undergrad Reduced row echelon form of matrix
- bimal
- · Replies 1 ·
Graduate Prime number counting function with error O(x^e)
- eljose
- · Replies 27 ·
Undergrad Understanding Echelon Matrices: What Are They and How Are They Used?
- DeathKnight
- · Replies 1 ·
Undergrad Explore Number Theory and Geometry with Mathematics Problem Explorer Book
- rahul963
- · Replies 2 ·
Undergrad Sieving for Primes - A Program to Find Primes in Any Range
- Canute
- · Replies 9 ·
Undergrad Solution needed 4 a very good problem
- rahul963
- · Replies 8 ·
Graduate Is the Empty Set a Valid Vector Space? A Closer Look at the Ten Axioms
- HungryChemist
- · Replies 33 ·
Undergrad Can (x,y,z) be used to represent both a point and a vector?
- C0nfused
- · Replies 3 ·
Undergrad A Question in Linear Tranformations
- beanz
- · Replies 2 ·
Undergrad Equation of a relation that appears to be its own reciprocal?
- blun
- · Replies 3 ·
High School What is the explanation behind matrices in Algebra?
- eNathan
- · Replies 10 ·
Graduate How to Find a K for Prime-Free Recursive Sequences?
- ramsey2879
- · Replies 2 ·
Undergrad Question on Defining Linear Equation
- es
- · Replies 7 ·
Graduate A formula of prime numbers for interval (q; (q+1)^2)
- Victor Sorokine
- · Replies 3 ·
High School Quick linear equation question
- james_rich
- · Replies 8 ·
Undergrad Now equate the coordinates of H to get the fourth point.
- skiboka33
- · Replies 4 ·
Graduate How can I prove a^3+b^3+c^3>=3abc using w=(abc)^1/3/?
- StonedPanda
- · Replies 7 ·
Graduate Proving I^n+J^m=R for Coprime I,J in a Ring R
- Galileo
- · Replies 3 ·
Graduate A proof of RH using quantum physics
- eljose
- · Replies 65 ·
Graduate Proving One Solution for n^3-n = d^2+d using the Elliptic Method - Learn More!
- ramsey2879
- · Replies 3 ·
High School What are eigenvalues and eigenvectors?
- orochimaru
- · Replies 2 ·
Graduate Fermat’s Last Theorem: A one-operation proof
- Victor Sorokine
- · Replies 150 ·
Undergrad Prove that n^3-n is divisible by 6 for every integer n
- symplectic_manifold
- · Replies 11 ·
High School Find all divisors of for example 29601
- symplectic_manifold
- · Replies 3 ·