A remark on perimeter–diameter and perimeter–circumradius inequalities under lattice constraints

Remark on Pauli–Villars Lagrangian on the Lattice

It is interesting to superimpose the Pauli–Villars regularization on the lattice regularization. We illustrate how this scheme works by evaluating the axial anomaly in a simple lattice fermion model, the Pauli–Villars Lagrangian with a gauge non-invariant Wilson term. The gauge non-invariance of the axial anomaly, caused by the Wilson term, is remedied by a compensation among Pauli–Villars regu...

Practical Constraints on Collaterals under Iranian Law

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

Markov-bernstein Type Inequalities under Littlewood-type Coefficient Constraints

Let Fn denote the set of polynomials of degree at most n with coefficients from {−1, 0, 1}. Let Gn be the collection of polynomials p of the form

Markov-bernstein Type Inequalities for Polynomials under Erdős-type Constraints

Throughout his life Erdős showed a particular fascination with inequalities for constrained polynomials. One of his favorite type of polynomial inequalities was Markovand Bernstein-type inequalities. For Erdős, Markovand Bernstein-type inequalities had their own intrinsic interest. He liked to see what happened when the polynomials are restricted in certain ways. Markovand Bernstein-type inequa...