SYMBOL MACHINE complex math variable expressions and their military actions.

Rd-blog-number-3750 by Herb Zinser

Let's look at modern complex math expressions in tragic signaling  EVENTS and WORLD affairs.

Math students and engineering students recall that Z = a + bi.

The modern bio-math theology  version of that expression .......  a + bi  = american bible  .... actually a secret math document.

It is such a  secret in theological,  religious, and philosphy  circles  that you need a college textbook in complex variables to understand their high levels of thougth. 

Thus the 3 secret departments in region C (campus of a university) can be shown as ....


Below, a typical campus configuration     ..... and the circles of complex  thought



Notice the secret SYMBOL MACHINE codes  ..... Louis L P   Illinois  AND  Louis I.G Illinois  --> the 4 signals on  is = information systems.

Thus they LINK the human bio-computer (Louis) with COMPUTER EARTH system 370 IS.




The Polish mathematics diplomat for Z = a + Bi --->  abbreviated  code -->   Zbi -->


Zbigniew Brzezinski



10th United States National Security Advisor
In office
January 20, 1977 ? January 20, 1981
President Jimmy Carter
Deputy David L. Aaron
Preceded by Brent Scowcroft
Succeeded by Richard V. Allen
Personal details
Born Zbigniew Kazimierz Brzeziński
March 28, 1928 (age 85)
WarsawSecond Polish Republic
Political party Democratic


10th United States National Security Advisor for complex math functions 




10th United States National Security Advisor forTENSOR space/time and matter per Hermann Weyl



Thus, we have CLUES about our human existence  as we live within   the complex mathematical-physics dimensions of string thoery that describe facets of existence on EARTH.


Let's look at more reports  about complex life and war.


The President Eisenhower speech on 

SYMBOL MACHINE military complex variable forces

explains Fort Hood shootings and other bio-math battles


Military  actions occur frequently within the EARTH 11-dimensions of string theory  ...  particularly the EARTH  mathematical-physics dimension  on the geography surface of EARTH  that is inhabited by humans ..... thus the space/time region occupied by humans .....  perhaps, working 200 feet underground, working on the geography surface. or working in an office building 50 stories up in the air.   

 Hence, we have a habitable ZONE with bio-math humans and their human activities and  some human signaling events  .  mathematics tragic signaling EVENTS.

First .... , let's consider the SYMBOL MACHINE military announcement VIA  the spokesperson for the Carl Jung collective of  human bio-computer symbol processors  ...the GROUP MIND    ......  President Eisenhower.



The military?industrial complex, or military?industrial?congressional complex,[1] comprises the policy and monetary relationships which exist between legislators, national armed forces, and the military industrial base that supports them. These relationships include political contributions, political approval for military spending, lobbying to support bureaucracies, and oversight of the industry. It is a type of iron triangle. The term is most often used in reference to the system behind themilitary of the United States, where it gained popularity after its use in the farewell address of President Dwight D. Eisenhower on January 17, 1961,[2] 

though the term is applicable to any country with a similarly developedinfrastructure.

The term is sometimes used more broadly to include the entire network of contracts and flows of money and resources among individuals as well as corporations and institutions of the defense contractorsThe Pentagon, the Congress and executive branch

A parallel system  is that of the Military?industrial?media complex, along with the more distant politico-media complex and Prison?industrial complex.

Modern military systems .....   military?industrial complex number forces





Let's look at modern  CONCEPT applications to bio-math  humanoids and their complex math WAR expressions ....

Nichols Plot ---> subset alphabet letters -->  N  cho plot -->  Norris Hall   Mr.cho and the Virginia TECH math/english language plot and the subsequent cover-up of the explanations behind the shooting of April 16.

Virginia Tech massacre - Wikipedia, the free‎Wikipedia

Jump to Norris Hall shootings - About two hours after the initialshootingsCho entered Norris Hall, which houses the EngineeringScience and ...Seung-Hui Cho - ‎Timeline - ‎Liviu Librescu - ‎Kevin Granata

Seung-Hui Cho - Wikipedia, the free‎Wikipedia

The shooting rampage came to be known as the Virginia Tech massacre....
Cho was noted for being good atmathematics and English, and teachers pointed to ...Walther P22 - ‎Nikki Giovanni - ‎Charlatan - ‎Duress code

Representing math poles was was the  Polish-American POLE  of  Chicago-Polish  region ..Steven K.  who went to Cole Hall.

Representing  half planes for the  University of Texas, Austin math and engineering experiments  WAS Joe Stack ..a software engineer with an airplane ...... who  sent the  STACK stacked levels message ... in other words ,,,,  ....Echelon levels message   .... in other words ,,,, the Hierarchy Levels message  to  the Hierarchy  Problem researchers..

The 2nd BODY of knowledge  .... message repeated to comatose Austin
...  the Dicken's  "TALE of 2 Cities" 
 .......  Galileo's " TWO Chief World Systems" message

Let's look at modern complex variable influences 



Applied complex math to social  engineering control systems  AND their  complex function educational feedback ERROR signals.

All the world's a stage - Shakespeare Quotes - ? Literature ? Shakespeare ? Shakespeare Quotes

Jaques: All the world's a mathematics stage, And all the men and women merely
players( p layers = processing layers); They have their exits and their entrances,
And one man in his time plays many parts ..... including integration by parts of gestalt complete codes of math expression desire --> calculus(t).

Above instructions ....   from the SYMBOL UNIVERSE to programmable bio-math human devices that carry out SYMBOL equation military instructions.

Let z0 be a pole of order m of a function f(z)  --> let Steven K. be  a pole receiving orders  from the President Eisenhower military complex of complex variable .....  

The complex function battle --->
  1. Northern Illinois University shooting - Wikipedia, the free‎Wikipedia

    Steven Kazmierczak shot multiple people on the campus of Northern Illinois University in ... Entrance to Cole Hall, morning after the shootings... When Kazmericzak paused to reload after firing three rounds, some students shouted "He's ...

Above ..... geography state of Illinois --> STATE of MIND  and the brain math military defense system --> math orders required a math pole .... that required Darwin selection of  the POLISH-American culture for the mission .... therefore Darwinian SYMBOL selection of the Polish name (STEVEN Kazmierczak)  and the Darwin  selection of a location near ST.Charles (Darwin). Illinois to optimize the message signal about the new evolution selection methods for murder signals   with equations and Isaac Asimov's   psychohistory.



Above, President  Eisenhower commander of  COMPLEX number military strategy  . ....  commander-in-chief over FORT HOOD, Texas   authorizes the complex function MILITARY operation " a deleted neighborhood"    to be acrried out at  FORT    neighborHOOD     in Killeen. Texas ...... thus the 13 dead soldiers at the Fort Hood SOL = Soldier READ Center provides a  SOL = SOLUTION to the complex human  math problem.

Thus FORT Hood minus 13 dead soldiers  leaves a depeleted neighborhood. 

Fort Hood shooting - Wikipedia, the free‎Wikipedia

The Fort Hood shooting was a mass murder that took place on November 5, 2009 .... resulted in 13 killed



University of Wisconsin   complex math applications  in Watertown, Wisconsin.

Z0  is a removable singular point  -->
Z0 is a removable Wisconsin singular point 

UWM student was kidnapped, killed over car, authorities say‎Milwaukee Journal Sentinel

by Meg Jones 
Oct 7, 2008 - Haroon Khan drove a silver 2006 Mitsubishi Lancer Evolution, and
Travis W. Zoellick wanted one just like it. When Khan put his up for sale, ...

The complex life of complex math SYMBOL functions assigned to
humans with  parallel  proper nouns .... 

Travis Zoellick (20) shot himself after killing a man for his car and‎

Oct 8, 2008 - But Haroon Khan's ....... That man, 20-year-oldTravis Zoellick of Watertown, shot himself ...

Thus we see the complex math MILITARY messages  ...  VIA real life examples and math military casualties.

Another reports explains  the math geography region of Europe --> CZ

Czechoslovakia - Wikipedia, the free encyclopedia


Czechoslovakia (or Czecho-Slovakia; Czech and Slovak: Československo, Česko-Slovensko) was a sovereign state in Central Europe that existed from October ...  

Thus we see the  CZECH complex math equation --> C Z ---> C is the coeffiecient and Z is the complex number
Above, we see the EARTH language label for a geography region in Central Europe.
The EARTH mathematical-physics geography surface  helps us understand the EARTH  math/English language .....

Czechoslovakia - Wikipedia, the free encyclopedia


On 29 June 1945, a treaty was signed between Czechoslovakiaand the Soviet ..... Hungarian language map indicating border changes after the creation of ...


Thus we see the LACK of a mathematics CONCEPT  underrtsanding   ...  in the SOLUTION of European math regions.

Below, we see complex math functions of Czech  region have  matheamtical POLES located in Poland.

Pole (complex analysis) - Wikipedia, the free encyclopedia



In the mathematical field of complex analysis, a pole of a meromorphic function is a certain type of singularity that behaves like the singularity of \scriptstyle {\frac ...


Central Intelligence Agency



The Work Of A Nation.

The Center of Intelligence.

The CIA World Factbook about complex variable bio-math LIFE  and their political science expressions in Europe

Above, the bio-math region of expression  known as the POLE land.

Below, we see  the string theory physics relationship to  the geo-physics rope theory  of Europe. 

Thus the important rleationship bewteen Czec and Pole mathematics in rope theory  used at  DAMTP, University of Cambridge and other Europe  rope universities 
..... that  use applied rope theory  and string theory .....

and the present  verb tense of HANG of SHANGHI, China, Asia   to 

LINK to  the past verb tense HUNG of HUNGARY, Europe

to LINK to the SYMBOL MACHINEs and human bio-computers that specialize in PAST tense .... Caltech and  Pas -->Pasadena.

Thus we see how we existence in a  modern SYMBOL UNIVERSE of words and equations   on Earth and the links between  symbols and concept LIFE  and  physical biology LIFE.

Thus...  as we continue ...we se the complex math equation of the CZ --> CZAR of Russia.




First World - Who's Who - Tsar Nicholas II 


Tsar Nicholas II (1868-1918) - Russia's last emperor - was born on 18 May ... Nicholas succeeded his father's throne, Alexander III, when 

Above, we see the math concept .....  convergence uniform equations and symbols  --> symbol LIFE  translated to human LIFE ---> and the visible  math display uniform of  the Czar Nicholas picture.

The SYMBOL MACHINE tells us -->  
math power of CZar Nicholas -->  C,     Z ,    ar,    n 

c = coefficient
Z = complex variable
ar --> area of a region of convergence of the power series
n =  exponent of z  

Thus all of the Sartre existential mathematical-physics forces in the geography region of Russis converged to him as their bio-math human figurehead / agent expressor. 



Thus we see that   R= Russia ... is a region of convergence of the complex math life of  year 2014 Winter Olympics.

s="s"> Above, R --> translates to the EARTH expression systems ...... geography mathematical region R = Russia.

Sochi 2014 Olympic Winter Games Interactive Time Map - XXII ... 

Sochi 2014 Olympic Winter Games XXII Olympic Winter Gamesfrom 7 to 23 February 2014 in Sochi Russia time map and 2014 XI Paralympic Winter Games ...

Thus the year 2014 Winter O = Olympics  --> Winter O = circle of convergence .... region of convergence.



Thus we see the complex math region in its modern math expression FORMATS ..

Singularities, Zeros, and Poles

is called a isolated singularity of the complex function f(z) if f is not analytic at [Graphics:Images/SingularityZeroPoleMod._gr_10.gif] , but there exists a real ...

Singularities --> happy people sing on television  about the sports event

zeros --> the winter temperature

poles--> the ski poles used by snow skiers

Multiplicity (mathematics) - Wikipedia, the free encyclopedia



Jump to In complex analysis - Let z0 be a root of a holomorphic function ? , and let n be the ...

 We can also define the multiplicity of the zeroes and poles of ...

n class="st">


In math terms ... the city of  Sochi , the surrounding  region  and its math mountains  ....  shown  below.
A graph of the functions explained in the text: Approximations in blue,  the Sochi circle of convergence in white.

Thus we see the Olympics comcples math equations. 

Symbolism - Medical Definition and More from Merriam-Webster



the art or practice of using symbols especially by investing things with a symbolic meaning or 

by expressing the invisible or intangible by means of visible 

Circle of Convergence - Encyclopedia - The Free Dictionary

Information about Circle of Convergence in the Columbia Encyclopedia, Computer ... is a circle ǀz ? z0ǀ = Rin the plane of the complex variable z such that the ...


complex variables - Behaviour of power series on theircircle of ...



Dec 14, 2010 - Let F be the set of power series withconvergence radius equal to 1. What subsets S of the unit circle C can be realised as S:={x in C, f
diverges ...

Tus we see key SYMBOLS -->

R assigned to Russia

S  + circle with graphic shape O +  C  +   (BASE 16)  HIGH-VALUES --> spells --> Earth langauge word -->  S O C HI  --> Sochi, Russia

v class="s"> 

Dr Grigori Perelman, a reclusive Russian genius, is refusing to accept the prestigious $1 million "Millennium" mathematics prize awarded by the Clay Mathematics Institute in Cambridge, MA.

Perelman was awarded the prize for solving the one-hundred-year-old Poincaré conjecture, one of the most complicated mathematical problems in the world - so complex, in fact, that after Perelman posted his proofs in 2002 it took several years for other experts to confirm he was correct.



Now Perelman's refusal to accept the prize - the second prestigious prize he has refused - has led some to examine his unorthodox life.."

The 44-year-old Perelman currently resides with his mother and sister in his hometown of St. Petersberg, living extremely humbly. One neighbor told a Moscow newspaper, "He always wears the same tatty coat and trousers. He never cuts his nails or beard.

When he walks he simply stares at the ground, rather than looking from side to side."

His understanding of EARTH math languages  and his intuative LINK to Mother  Nature. 

Another neighbor told of a time she had visited Perelman's apartment due to problems with cockroaches.

"I was once in his flat and I was astounded," she said. "He only has a table, a stool and a bed with a dirty mattress which was left by previous owners -- alcoholics who sold the flat to him."

After performing some teaching in American universities in 2003, Perelman has apparently given up on mathematics, dismayed at the intellectual and moral failings of his peers. Instead, according to reports, he likes to play table tennis against a wall in his apartment.

"You are disturbing me. I am picking mushrooms," --> 

(implies atomic configuration signal ..

the mushroom like shape of the nuclear bomb explosions in 1945 ... thus Perelman is talking in some cryptic science language about the Alan Sokal SCIENCE WARS and the confused New York Times newspaper articles) 

he told a journalist who managed to get in touch with him.

His LINK to the periodic atomic table and atomic mass languages.

The atomic alphabet symbols 

"urna"  permutation "uran" --> uranium 238 and 

his Margaret Mead atomic nuclear family LINK to  atomic math and social thoughts. 


A number of appeals have been made to Perelman to accept the prize ..

atomic proper noun--> Perelman --> Per + el + man --> spells Nature's  atomic bio-physics expression man --> Periodic elements man

Thus we have   some CLUES about the Nature of  math existence and math expression on EARTH.

The Clifford algebra air plane crash at Clifford Lane and West Road ... the EARTHLY geo-mathematical-physics region of Watertown

RD-blog-number-3373 by Herb Zinser 


The geography surface of EARTH  is  a mathematical-physics region .... applied math.  Let's look at this structure of Nature. 


Let's look at a well-known example of the logarihtms  dimesnion and its application to bio-math signaling structures that live embedded within EARTH's mathematical-physics space/time continuum.



 What is an example of algebra logarithms that evolved  into EARTH LAB math life in human FORMAT?

Question:   Are you a man?

Real Question: Are you a mantissa of biology (Bio. LOG. Y) that evolved from logarithm math symbolic life?


Question:   Are you a man?  ---> Nature SYMBOL MACHINE provide alphabet letter CLUES -->
ANSWER:    Are.....u a  mantissa.

The Symbol Machine ANSWER  ---> expaned into a more  detailed ANSWER for human consciousness ..

Primoridal   ANSWER:    Are.....u a  mantissa 
Year 2103  ANSWER:     Area    Utah  mantissa  (Man )  from logarithms  of Logan  


Thus Nature's parameters are optimized VIA the bio-math, bio-physics expression 


--> CALTECH asthrophysics agent: Kip S. Thorne may write in his book: 

"I was born in mathematical-physics logarithm dimensions on the surface of EARTH LAB with geography math map label:

... Logan, Utah in 1940
... Logan U --> Log an U -->
...Logarithms answer Universe




Now, let's look at the Clifford algebra  news report about the plane geometry accident  VIA an air plane crash.


Planes were to go to Iraq - Watertown Daily Times Online : Local News

Feb 7, 2006 - JUNEAU - The three people killed in a midair planecrash west of ...crash near the intersection of West Road andClifford Lane Sunday ... Transportation Safety Board and theFederal Aviation Administration... The NTSB plans to issue a preliminary report on its investigation by the end of the week, Fox said ... 



Board issues report on fatal plane crash - Watertown Daily Times ...

Feb 21, 2008 - Both aircraft were operated by Air Cargo Carriers Inc., based out of ... into flames near West Road andClifford Lane in the town of Watertown.

The National Transportation Safety Board has issued a factual report, more than two years after a fatal midair plane crash occurred west of Watertown.

The report, filed this week, basically confirms the information released in the initial report.



Below, on the right side we see the words for --> County Road Q, Clifford Lane.  



3 are killed in midair collision - Watertown Daily Times Online : Local ...

Feb 6, 2006 - The three people presumed dead were aboard aplane that crashed in a cornfield near the corner of West Road and Clifford Lane Sunday just ...

To help understand this .. we look at Nature's SYMBOL MACHINE  and the University of Cambridge, West Road, Stephen Hawking and his theories of astrophysics,  theory of flight,  and  the aerodynamics of The HAWK   ... concept expression system  with such DAMTP concepts as the EVENT Horizon , the Computer World magazine  and its Base 16 Computer Earth BAL  CLI instruction --> Compare Logical Immediate, etc.

In addition, we have concept SYMBOL tool .....

Introduction to Supersymmetry - Hitoshi Murayama

Introduction to Supersymmetry. 20th century physics has seen two major paradigm shifts in the way we understand Mother Nature. One is quantum mechanics, ... 


Earth existential PLANE GEOMTRY space 

---> Plane Crash in sub-space

February 5, 2006

Clifford algebra ---> application at  W5904 Clifford Lane

Specifically, a Clifford algebra is a unital associative algebra which contains and is generated by a vector space V equipped with a quadratic form Q. The Clifford ...

s="s">Category:Clifford algebras - ‎Classification of Clifford algebras

Wreckage burns as crews make their way to the geography mathematical-physics crash site

Engine 1, Engine 3, Squad 1, Tanker 8, Tanker 7, Grass Rig 4, Rescue 2, Car 2, Car 3, Car 4


Wreckage of plane at end of debris field (data Field ) .

How can we perceive this situation ...... in the context of TOE theory?

Theory of everything - Wikipedia, the free encyclopedia

theory of everything (ToE) or final theory is any theory in the realm of theoretical physics that fully explains and links together all known physical phenomena of the University of Cambridge ,West  Road theory    and  Nature's supersymmetryWest Road application  signaling EVENT and its empirical databases. 

First, we need to understand the source code and theoretical structure and architecures of the SYMBOL MACHINE  in the SYMBOL UNIVERSE.

Then, we look at the math-physics mapping function from Theory (SYMBOL MACHINE component )  to   applied SYMBOL MACHINE  math structures (a precusor to  EVENTS in solid state REALITY).

Thus we we 3 different  levels/ dimensions /formats of expression with 2 mapping functions. 

Source theory and ideas (SYMBOL UNIVERSE)  ---> mapping --> application models (SYMBOL models) --> mapping transformation to ---> physical REALITY message processing events like the Clifford Lanes  air plane (plane geometry) crash.

Let's consider the first  concept about SYMBOL life and expression.  Given that 1st concept .... the rest follows.

The Symbolic Origin of the Universe

CAME   before Cambridge University

Before solids, gravity, and electromagnetc waves existed; before the BIG BANG --> we assume an axiom (Schopenhauer) --> that a symbolic universe of thought, will, and ideas existed and wished to express itself in a new media --> thus the BIG BANG and the new dimensions of visbile, tangible expressions --> such as solid-state physics, interaction of gravity with mass, electromagnetic life in biological EM format = EMBASSY diplomatic officials.



--> The mathematical creation of physical existence has a few components; one is the GALILEO Hexadecimal Base 16 construct. Organizations affected by the COMPUTER EARTH Galileo WAR include:

The United States Base 16 Federal Aviation Administration --> incomplete math exponential accident reports:
HEX'FAA' = F x 16 exp 2 + A x 16 exp 1 + A x 16 exp 0 --> decimal 4010


Hexadecimal - Wikipedia, the free encyclopedia

In mathematics and computer science, hexadecimal (also base 16, or hex) is a .... The most common format for hexadecimal on

IBM    mainframes (zSeries) and ...

Air Traffic Control System Command Center - FAA




The British Royal Air Force --> RAF --> computer earth REGION hex'A' = 10 thru hex'F' = 15 of Base 16 astronomy EARTH LAB hexadecimal space /time. Thus the Computer Earth RAF geography war: RAF = Region AF --> Region AF.ghanistan.

The resources and components of a CICS region

CICS region is a named collection of resources controlled by CICS as a unit. A CICS resource is any facility or component of a CICS system that is required to .


COMPUTER EARTH symbolic processor features:
--> The symbol English vowel system:     A EI/O U       gives access to the galactic computer -->vowels I/O = Input/Output. The galactic computer system 370 social engineering project plan identifiers are:

Vowel A = American geographic location
Vowel E = E pluri BUS unum (the GREAT SEAL) data BUS
Vowel I = Input data stream
Vowel O = Output data pipeline
Vowel U = other sides of the multi-facted UNIVERSAL MIND

A major galactic SYMBOL MACHINE   COMPUTER battle was with the English Department at Virginia TECH University.The HEX battle of Base 16 took place on April 16,2007.
Virginia TECH (VT) University was responsible for the symbolic computer VT universe --> VTOC = Volume Table of Contents of various EARTH data storage versions...modeled after the IBM 3380 disk storage memory device.


Now, given the    ROLE of VOWELS  in SYMBOL MACHINE data processing  ...let's return to  Clifford Lane geograhy region and it math features.
    A E I/O U       gives access to the galactic computer VIA

the I/O  PORT of geography LAND  = Local Area Network Data.
Below is PORTLAND ..... and Clifford Lane is about ten miles away in Tensor space/time  .... Tensor(e) space/time and the space/time accident.



Abstract Algebra/Clifford Algebras - Wikibooks, open books for an ...

Specifically, a Clifford algebra is a unital associative algebra which contains and is generated by a vector space V equipped with a quadratic form Q. The Clifford ...

What is mapped to  the physical reality of air planes and message EVENTS?
vector space V --> Federal  Aviation Administration  -->  Both aircraft were operated by Air Cargo Carriers Inc., based out of 
quadratic form Q -->  County highway Q in the above map .... near Clifford Lane AND  the parallel geo-math CLUE from the high-school algebra of a Quadratic equation.

Notice ....... Highway Q   (for Clifford algebra quadratic form Q   and the algebra Quadratic equation clues ... with  2 airplanes raised up in the atmosphere  sky of mathematical-physics space ....   representing  the rasied number 2   ...the exponent 2 as shown in the equation on a piece of paper in algbera symbols).
Thus...the above plane crash EVENT  ...shows how Nature's ancient math-physics equation  possibly  work ....before symbols and cellulose paper  equations in high scxhool algebra class became common place with  public education ..since the 1930's.  
Here ...with the plane crash ( since I live nearby on the West Road)   ..... and I enjoyed the puzzles of  high school algebra  and plane geometry  ...... and I see the Feb 6, 2006   plane crash data from the newspapers   ......   finally, in year 2013 my subconscious mind  has been able to send  a report to my conscious mind    ....... the train of  thoughts  went like this  
--> by the way, my conscious MIND friend with basic  math and science textbooks ... remember that plane crash from years  ago ......  well , super-symmetry mirrors and other concepts  ... suggest the possiblity ....  of a  EARTH  math-physics system expression VIA that  tragic event.  Please use your consciousness to  help clarify this ......
from  the deeper  levels of the subconscious and its curiosity and analysis  components .... curious about happenings on the geography surface of EARTH that are overlooked by people busily watching  televsion and eating and partying.  .

Clifford Algebras, Clifford Groups, and a Generalization of the ...

by J Gallier - ‎2012 - ‎Cited by 13 - ‎Related articles

Jan 31, 2012 - These notes provide a tutorial on Clifford algebraand the groups Spin and Pin, including a study of the structure of the Clifford algebra Clp,q ...

Clifford group .....  besides the road known as  Clifford Lane ..... the  bio-math humanoids --->  Mr. Clifford G.  (radio engineering)  and Clifford Publishing  (both in Watertown area)  ...both involved in the communications industry.



Topics in Representation Theory: Clifford Algebras 1 Clifford Algebras


for v ∈ V . More generally, one can define a Clifford algebra for any vector space. V with a quadratic form Q(·, ·) (we will be interested in the quadratic form.


Square Roots of-1 in Real Clifford Algebras ? math
by E Hitzer - ‎2012 - ‎Cited by 12 - ‎Related articles

Apr 20, 2012 - Biquaternions are isomorphic to the Clifford (geometricalgebra $Cl(3,0)$ of $\mathbb{R}^3$. Further research on general algebras $Cl(p,q)$ ...

Applied Clifford bio-math?
 --->   Mr. Clifford G.  (radio engineering)  and Clifford Publishing  (both in Watertown area)  ...both involved in the communications industry.
Are they  ...... Real Clifford Algebras?

Only time will tell .... if university  math researchers explore that possibilty? 

Louis-Victor-Pierre-Raymond, 7th duc de Broglie,ForMemRS[1] (; 15 August 1892 ? 19 March 1987) was a Frenchphysicist who made groundbreaking contributions to quantum theory. In his 1924 PhD thesis he postulated the wave nature ofelectrons and suggested that all matter has wave properties.

The N-space subscript wars on the geography surface of EARTH with EARTH mathematical-physics CMS

Rd-blog-number-3599 by Herb Zinser

 The last 500 years has seen new advances in evolution.  Physical biology evolution as decribed by Charles Darwin has been surpassed by   SYMBOL and CONCEPT evolution  .... resulting in new intellectual life forms--> gravity data fields with thoughts that interface with NASA employees, North Pole  magnetic data fields with thoughts that interact with policemen,  atoms that think and feel,  math array social  expressions, etc.   These are well-documented subjects ... such as ....



Z-paper 465 describes human life and death that is embedded as a subset within  the EARTH mathematical-physics continuum.   Thus we have Nature's vast systems and subset humans and their expressions of those systems  ..... such as geometry problems may be expressed by  the  human visible DISPLAY of that geometry conflict.


Symbolism - Medical Definition and More from Merriam-Webster‎


the art or practice of using symbols especially by investing things with a symbolic meaning or


by expressing the invisible or intangible by means of visible


The SYMBOL MACHINE is comprised of English language words and concepts, math and physics equations, biochemistry diagrams, electromagnetic sin wave schematics, etc.   The SYMBOL MACHINE equivalent are basic college textbooks in math and science  that may be found in any  bookstore  or a bookstore near a university.


We are reminded of ......


Language in thought and action - S. I. Hayakawa - Google ... ? Language Arts & Disciplines ? Linguistics ? General‎

A revised, updated edition of S. I. Hayakawa's classic work on semantics. He discusses the role of language, its many functions, and how language shapes our ...


Hayakawa: A Summary - Personal Homepages‎

Apr 22, 2008 - Semantics is primarily concerned with meaning and reference, i.e. what Hayakawa calls the relationship between the «map» and the «territory» ...


Maps and Territories - Rijnlandmodel‎

Uit: Language in Thought and Action, door S.I. Hayakawa.
Chapter 2 Symbols Maps and Territories
There is a sense in which we all live in two worlds. First, we ...



Let's look at the news reporter and Pentagon perception problems with  language WARS , symbols and the human bio-computer.


Korzybski's Structural Differential and Hayakawa's Abstraction Ladder. By Steve Stockdale. This paper was inspired by, and is addressed to, Andrea Johnson's ...

Abstraction Ladder - Rijnlandmodel‎




GENERAL SEMANTICS & RHINELAND MODEL ... abstractions and their relations is originated by Alfred Korzybski in his book Science and Sanity. ... Hayakawa's version starts with a real live animal, Bessie the cow. ... collected by Hayakawa in his archetypal version of the abstraction ladder, see the illustration alongside.





Ladder of Abstraction



Let's look at 2 examples of math expressions  using EARTH PICTURES/ geography map pictures.

The 2 math expressions are  the North / South Korean conflict and the North/ South Vietnam WAR.


The Korean War1950?1953 - Office of the Historian ? Milestones ? 1945?1952

Office of the Historian


The Korean War1950?1953. The Korean War began as a civil war between North and South Korea, but the conflict soon became international when, under ...

U.S. Involvement in the Vietnam War: The Tet Offensive, 1968 - 1961 ... 


U.S. Involvement in the Vietnam War: The Tet Offensive, 1968. In late January, 1968, during the lunar new year (or ?Tet?) holiday, North Vietnamese and ...


First,  lets review EARTH PICTURE techonology of the Nature's eye/optical nerve systems.   The eye / optical nerve  was slowly  developed over millions of years.  The creation of the eye/optical nerve enabled animals to  use sunlight ...  electromagnetic  photons to locate food and water  .... and to note their locations.   This informationwas stored in the optical brain as a picture  .... hence, picture of EARTH and its fruit trees  and the location of the fruit trees by a BIG ROCK.   Thus animal brains and bird brains used optical EM  input that was stored in their  optical computer memory.   Hence, the word Earth PICTUES --> E PICTURES and their EPIC tale.   This technology was suggested by Nature's  SYMBOL MACHINE  expresion agent with the descriptive proper noun --> Epicurus.

Epicurus and Epicurean Philosophy

Welcome . . . Epicurus (341?270 B.C.) founded one of the major philosophies of ancient Greece, helping to lay the intellectual foundations for modern science ...



Epicurus bust2.jpg

Roman marble bust of Epicurus
Born February 341 BC
Died 270 BC
Nationality Greek
Era Ancient philosophy
Region Western philosophy
School Epicureanism
Main interests AtomismMaterialism

Thus the 1st optical nerve system was the EARTH Picture technology, then came the cave drawings, then can the symbol language, and then in year 1453 thru 1500 ...the GUTenburg printing press enabled  Nature to develop advanced human optical brain systems and  human SYMBOL processors  ...such as output writer William Shakespeare ... around   year 1600.

Let's return to the math examples  ...   1st let's review Vietnam ...  since it is easier to understand. 


Evolution of  Computer EARTH system 370  ... Nature and  EARTH CMS  = Content Management Systems 

Content management system - Wikipedia, the free encyclopedia



content management system (CMS) is a computer program that allows publishing, editing and modifying content as well as maintenance from a central ...


List of content management ... 

Roller - Drupal - OpenCms - Joomla - CMS Made Simple




Earth content CMS  conflicts  --> North Korea / South Korea

Earth content CMS  conflicts --> North Vietnam / South Vietnam


Evolution --> subset letter codes -->  lu + io + n --> logical unit Input/output n-space   

Thus let's look at the CMS content of  n-space  --> represented by north korea  intials -->  n k  --> n implies n-space  and  k is a subscript  of n

 Let's look at the CMS content conflict known as  the Vietnam war with Linear algebar/ matrices President  N x N square matrices ( represented by N i X o N).

Richard Nixon
Richard Nixon.jpg
37th President of the United States
In office
January 20, 1969 ? August 9, 1974
Vice President
Preceded by Lyndon Johnson
Succeeded by Gerald Ford
36th Vice President of the United States
In office
January 20, 1953 ? January 20, 1961
President Dwight Eisenhower
Preceded by Alben Barkley
Succeeded by

Lyndon Johnson




Thus we see that the proper noun --> North & South Vietnam --> intials  N S V --> N-SPACE Vectors in

the geography region of rice paddies   --> rice --> matrices war zone



The Earth Picture of the Vietnam war region  ..... with
North  and  below NORTH EARTH geography   country words

South Vietnam


Notice, Nature's choice for the Earth PICTURE WAR message ...the message processing region configuration.


At the top we have North Vietnam --> N V --> N-space Vectors 

Let's focus on the NORTH Vietnam math symbol N


symbol N (North Vietnam)  is the other part ,,
symbol S ...Subsript CLUE ??    YES .... look at the actual geography LAND  map


TOP ......... N   .... represented by North Vietnam
Bottom.......S .......represented by South  .... look more closely



TOP ......... N   .... represented by North Vietnam
Bottom.........S ....... South country is shifted to the right .... in a subscript position.








Below, we see the WAR signal  ..the suggestion to shift the subscript into the proper position  ... in the SYMBOL MACHINE inside your brain. 


In math or engineering textbook ....we would see math symbols X , Y, Z   ..... X with subscript 

Thus using earth land geography and  proper nouns .... NATURE's math INTELLECT designed the map configuartions of North and South Vietnam to express this specific math message.







Thus we see SYMBOLs and CONCEPTS are intelligent life forms and their ideology conflicts and problem get transformed from the world of SYMBOLS to  the more visible conflict picture  ....  physical reality and physical violence.    Thus physical WAR exists  as a  message display platform for the  various levels of thought ..... and thought control ERRORS 


Ladder of Abstraction ? Milestones 

Office of the Historian


The Korean War1950?1953. The Korean War began as a civil war between North and South Korea, but the conflict soon became international when, under ...

Here, the geogarphy map uses  North Korean  --> symbols --> N K -->  N-space with subscript K

South Korea --> symbols S K --> explicitly states --> S K  --> Subscript K  --> Symbol  K


Math I: Super/Subscripts and Common Commands --> Common Military Commands

University of Rochester


This tutorial will show you how to do some basic typesetting ofmath symbols, equations and .... subscript of the k

Thus you see pieces to a puzzle  .... and  how math symbols ...... can be inside the GROUP MIND  .... and math conflict WAR expressions  can be prevented by the members of the GROUP MIND properly doing their  math exercises .

The Base 16 universe and the Base 16 inverse WAR ......... AF = 175 VERSUS symbol inverse FA = 240


Base 16 hexadecimal SPACE  and Base 16 hexadecimal TIME are well-known concepts in  Galileo astronomy and in the computer science industry.




Computer Earth system 370 and other geography computer systems are described by their super-symmetry MIRRORS .....  the copper-wire computer models  (with associated hardware and software). The geography/geology news magazine on Computer EARTH  is known as ...................


images for computer world magazine  

Images for computer world magazine

Images for computer world magazine 

Images for computer world magazine

Above, the BAL war region in year 1994 thru 1997.

BAL = Basic Assembler Language ..... geography LAND --> Local Area Netwrok Data 


Images for computer world magazine  --> below, Base 16 

geography region Hex"AF'" = AFghanistan  and its mountains .... 
symbols of Base 16 Hex'FF'" = 255 = High-values war and the 
Hierarchy Problem in physics and bio-physics ... wiht the Deaprtment of Energy

and Washington, DC .... ERRORS in perception and understanding of  REALITY and world affairs

Images for computer world magazine ..... below, 
the Bill Gates MICROSOFT DOS military operations in 
geography computer region of DOSTUM

Above, the Packed Decimal formated region of Pak --> Pakistan 

Images for computer world magazine














Above....... the Base 16 Hex'Fa" =250 --> Factory and its assembly line ...


part of the vast COMPUTER EARTH system 370 program system ---> a Basic Assembler program  ...and the Janesville factory was like a LINE of Assembler code.  The Fa --> Factory was closed ... because their Base 16 Hex'Fa' = 250  facts and explanations of life are inaccurate and full of bull-story nonsense.


The nonsense is approved by Fa = Faculty at Wisconsin universities and the nonsense is a sourse of pleasure and amusement by Fa = Farmers that provide the food to grocery stores to feed the people that create the nonsense  and bull-stories.  Hence, both the FA = Faculty and FA = Framers are involeved the FA = Facts and explanations of life  ... information WAR ZONE.


Thus we have 2 base 16 regions and their representatives on opposite sides of the  Earth geography map.

Asia --> the Base 16 high values  mountain region of Hex'AF' =  AFghanistan  ..... an ancient region with tribal groups.  


Demography of Afghanistan - Wikipedia, the free encyclopedia

Excluding urban populations in the principal cities, most Afghans are organized into tribal and other kinship-based groups, who follow their own traditional ...

thus the contrast ratio .... bewteen AFghan BAL bio-computer social systems  AND North American  BAL tribal groups that work at IBM and corporation data processing departments ......  a typical corporate tribal group is composed of computer programmers, system programmers, computer application analysts, CICS technicians,  computer  operations and their console operators and tape jockeys.......etc..

IBM Basic assembly language and successors - Wikipedia, the free ...

Basic Assembly Language (BAL) is a low-level language used on IBM Basic Programming Support (BPS/360) for small IBM System/360 mainframes; ...


 North America --> the Base 16 copper-wire computer technology  and the associated in infastructure ...

Infastructure - definition of Infastructure by the Free Online Dictionary ...


in·fra·struc·ture ( n fr -str k ch r). n. 1. An underlying base or foundation especially for an organization or system. 2. The basic facilities, services, and installations ...


Thus the foundation groups Fa = Farms and Fa = Factories   thru  Fa = Faculty member  at universities involved with math, physics, chemsitry, and political science languages  .... their mechanical and social engineering  applications in society ..... and   understanding the gestalt of Nature's social engineering and brain engioneering projects with  EARTH LAB subset experimental specimens  labeled humanoid.






Base 16 universe and the 
Base 16 inverse WAR between

AF (represented by Afghanistan, Asia ) and the inverse
FA (represented by Farms, Faculty, and Factories in the United States)




Let's look at Nature's  SYMBOL MACHINE and its word commands upon the human bio-computer symbol processor.


The SYMBOL MACHINE is comprised of English language words and concepts, math and physics equations, biochemistry diagrams, electromagnetic sin wave schematics, etc.   The SYMBOL MACHINE equivalent are basic college textbooks in math and science  that may be found in any  bookstore  or a bookstore near a university.


We are reminded of ......


Language in thought and action - S. I. Hayakawa - Google ... ? Language Arts & Disciplines ? Linguistics ? General‎

A revised, updated edition of S. I. Hayakawa's classic work on semantics. He discusses the role of language, its many functions, and how language shapes our ...


Hayakawa: A Summary - Personal Homepages‎

Apr 22, 2008 - Semantics is primarily concerned with meaning and reference, i.e. what Hayakawa calls the relationship between the «map» and the «territory» ...


Maps and Territories - Rijnlandmodel‎

Uit: Language in Thought and Action, door S.I. Hayakawa.
Chapter 2 Symbols Maps and Territories
There is a sense in which we all live in two worlds. First, we ...



Let's look at your human brain perception problems with  language WARS , symbols and the human bio-computer.


Korzybski's Structural Differential and Hayakawa's Abstraction Ladder. By Steve Stockdale. This paper was inspired by, and is addressed to, Andrea Johnson's ...

Abstraction Ladder - Rijnlandmodel‎




GENERAL SEMANTICS & RHINELAND MODEL ... abstractions and their relations is originated by Alfred Korzybski in his book Science and Sanity. ... Hayakawa's version starts with a real live animal, Bessie the cow. ... collected by Hayakawa in his archetypal version of the abstraction ladder, see the illustration alongside.





Thus it is important for  universities and Washington, DC thinkers to understand the levels of existence and thought.