CP-084

Post date: Oct 25, 2020 4:34:53 AM

Concept Paper CP-084 by Herb Zinser

U.S.ARMY Symbol Machine LIFE war military roles - General Math Theory

Herb Zinser explains the social science wars of atoms, math equations, biochemistry molecules, television photons, English language nouns and symbol life in the battle to control civilization.

This blog post covers symbol life roles and their assignment to human representatives.

Math war region ......

Theory of Functions, Parts I and II (Dover Books on ...

www.amazon.com › ... › Mathematics › Calculus

Amazon.com

by Konrad Knopp, Mathematics · 4.7 out of 5 .... Section I. Complex Numbers and their Geometric Representation Chapter I. ... Introduction of complex numbers.

Above, gestalt signal --> military complex number

Below, the complex math national security adviser with his bio-math identifier code --> Z bi -->

Zbigniew Brzezinski (United States National Security ...

Uniform Convergence

A sequence of functions

{f_n}
n=1
f
E
x
epsilon>0
N

, , 2, 3, ... is said to be uniformly convergent to for a set of values of if, for each , an integer can be found such that

|f_n(x)-f(x)|<epsilon

(1)

for

n>=N
x in E

and all .

A series

sumf_n(x)
E
{S_n}

converges uniformly on if the sequence of partial sums defined by

sum_(k=1)^nf_k(x)=S_n(x)

(2)

converges uniformly on

E

.

To test for uniform convergence, use Abel's uniform convergence test or the Weierstrass M-test. If individual terms

u_n(x)

of a uniformly converging series are continuous, then the following conditions are satisfied.

1. The series sum

f(x)=sum_(n=1)^inftyu_n(x)

(3)

is continuous.

2. The series may be integrated term by term

int_a^bf(x)dx=sum_(n=1)^inftyint_a^bu_n(x)dx.

(4)

For example, a power series

sum_(n=0)^(infty)a_n(x-x_0)^n

is uniformly convergent on any closed and bounded subset inside its circle of convergence.

Mathematical Sciences | U.S. Army Research Laboratory using human soldiers to represent individual terms in the equation ...

www.arl.army.mil/.../default.cf...

United States Army Research Laboratory

Mathematical Sciences Division. Contact information and reports.

If individual terms

u_n(x)

of a uniformly converging series are continuous,......

Below, soldiers that converged to IRAQ for the ARMY math experiment.

Notice they wear a uniform for the ARMY uniform convergence experiment in existential awareness and self-awareness .