For a random variable $X$, we are interested in the blind extraction of its finest mutual independence pattern $μ( X )$. We introduce a specific kind of independence that we call dichotomic. If $Δ( X )$ stands for the set of all patterns of dichoto...
This note presents an analytic technique for proving the linear independence of certain small subsets of real numbers over the rational numbers. The applications of this test produce simple linear independence proofs for the subsets of triples $\{1,...
Feb 3, 2026 · Independence Day, in the United States, the annual celebration of nationhood held on July 4. It commemorates the passage of the Declaration of Independence by the Continental Congress on …
Independence is a condition of a nation, country, or state, in which residents and population, or some portion thereof, exercise self-government, and usually
Let $G = (V, E)$ be a finite simple graph. In this paper, we characterize the degree of the $h$-polynomial of the edge ideal of $G$ in terms of the independence number of $G$. The key tools are the value of the independence polynomial of $G$ at $-1$...
Chitupi United National Independence Party 1978 Ablam Chitala United National Independence Party 1983 Ablam Chitala United National Independence Party 1988
Bishop independence concerns determining the maximum number of bishops that can be placed on a board such that no bishop can attack any other bishop. This paper presents the solution to the bishop independence problem, determining the bishop independ...
Paramount CEO David Ellison has pledged to support editorial independence at CNN, saying it “needs to be maintained,” amid widespread concern about his company’s plans for the news network.
In this paper, we introduce the notion of conditionally bi-free independence in an amalgamated setting. We define operator-valued conditionally bi-multiplicative pairs of functions and construct operator-valued conditionally bi-free moment and cumula...
of Independence (Spanish: Guerra de Independencia de México, 16 September 1810 – 27 September 1821) was an armed conflict and political process resulting
Independence from the Spanish Empire was declared in 1810, with what is now Colombia emerging as the United Provinces of New Granada. After a Spanish reconquest, Colombian independence was …
A bloody crackdown by Serbian forces on Kosovo Albanian separatists in 1998-1999 ended after NATO intervention. Kosovo declared independence on 17 February 2008; its independence is recognized …
Independence from the Spanish Empire was declared in 1810, with what is now Colombia emerging as the United Provinces of New Granada. After a Spanish reconquest, Colombian independence was …