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Questions related to Algebra
Max plus algebra; generalized inverse; block product of matrices
07 July 2016 6,928 1 View
Let A, B ∈ ℂn×n where A is an invertible matrix (and A⁻¹ ≠ AT), but B is a noninvertible. Let C = AB. What is C†? (C† is the Moore-Penrose inverse of C). Suppose that rank C = rank C². What is C#?...
07 July 2016 1,941 20 View
We have scalar and cross product. Cross product works in 3D only. But why not define a torque in 2D? Or 4D? Imagine now that we don't know anything about products of vectors. How to multiply? For...
07 July 2016 2,082 25 View
algebraists
07 July 2016 3,978 1 View
Operational matrices of integration are used to convert the given partial differential equations with initial and boundary conditions into system of algebraic equations.Then we can easily find...
07 July 2016 7,256 1 View
Let K be a finite extension of Qp and M be a finite Z/pn[GK] module which is the generic fiber of a finite flat OK group-scheme M', how can one show that the crystalline cohomology group...
07 July 2016 509 0 View
I think it is clear classic string theory is defined in Z2, if only because waves are 1 and nodes are zero. If we assume the string waves and nodes are defined in Z2 as a deductive system, the...
27 June 2016 9,740 3 View
The equation was given as follows: 1/ \sqrt (1+β)= \sqrt(1+β)/β 0
14 June 2016 6,106 4 View
I became worried as most of the study in Einstein derivation and pre-Einstein derivation are treated in tandem with Lie groups.
06 June 2016 10,058 2 View
06 June 2016 2,430 3 View
I have following two equations: a*x^2 + b*x + c*y^2 + d*y + f= 0 g*x^2 + h*x + i*y^2 + j*y + k= 0 Can anyone solve for x and y? I am seeking for an algebraic/symbolic solution. Thanks
06 June 2016 1,897 6 View
06 June 2016 2,780 5 View
It is clear that for some X it is. But Is this true for any X ? ( X subset of real line R and |X|=c)
06 June 2016 4,931 8 View
Hi! I'm not very good at algebra, wich caues problems for me when reading econometric articles. Now, I'm reading the Rahbek and Mosconi (1998) paper on how to introduce exogenous variables in VEC...
26 May 2016 9,748 3 View
I have a set of axioms. I want to prove each axiom is independent of others. I mean an axiom is not implied by a single axiom, or a combination of axioms. I think we need examples. If so how...
05 May 2016 1,924 1 View
What is the subject which collect difference equations and algebra in one field ?
05 May 2016 7,177 2 View
05 May 2016 3,366 4 View
see p. 333 of the attached paper.
05 May 2016 6,451 3 View
we know there is different fields in studying QFT such as scalar , vector or tensor fields. my question is: is the geometry of the space the fields are in causes different fields or the fields of...
05 May 2016 2,975 1 View
02 May 2016 2,472 1 View
The function reaches asymptotically to slope=0 as x goes away form zero.
23 April 2016 9,613 11 View
If a abelian subalgebra of a matrix algebra in $\M_{n}(\mathbb{C}) has linear dimension n. Then Why is this subalgebra is maximal abelian in $\M_{n}(\mathbb{C}) ? Functional Analysis, Von...
21 April 2016 3,635 2 View
I have a quantity with three indices I want to merge two of the indices to one so that I can work with only two indices
06 April 2016 2,340 2 View
Tropical algebras, Toeplitz systems
04 April 2016 8,580 6 View