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Post date: Jan 9, 2021 4:40:55 AM
The Z integer math MILITARY alliance with the
The Z integer math MILITARY alliance with the
Z-axis and complex number Z
Z-axis and complex number Z
Rd-blog-number-4543 reviews the MATH war casualties of the Germanwings air plane crash in the French Aps.
www.cnn.com/2015/03/24/world/gallery/france-plane-crash/
CNN
3 days ago – A Germanwings Airbus A320 plane carrying 150 people crashed in the foothills of the French Alps on Tuesday, March 24.
en.wikipedia.org/wiki/Integer
Wikipedia
Like the natural numbers, Z is closed under the operations of addition and multiplication, that is, the sum and product of any two integers is an integer. However …
Integer (computer science) – Blackboard bold – Algebraic integer – Integer sequence
www.math.ku.edu/~porter/Math_symbols%20.pdf
University of Kansas
R = real numbers, Z = integers, N=natural numbers, Q = rational numbers, P = irrational numbers. • ⊂= proper subset (not the whole thing) ⊆=subset.
What do the letters R, Q, N, and Z mean in math? – eNotes.com
www.enotes.com/homework…/what-do-letters-r-q-n-z-mean-math-1956…
Sep 7, 2010 – The set has starting number 1 and the consecutive numbers increments by 1 . It has no end. Z is integers( positive or negatives including zero).
Nature’s math integer MILITARY manual written by a military HAWK ….
The TRUE NATURE of subconscious bio-math MIND of Stephen Hawking …..
en.wikipedia.org/wiki/Black_Hawk_(Sauk_leader)
Wikipedia
Although he had inherited an important historic medicine bundle from his father, he was not a hereditary civil chief. Black Hawk earned his status as a war chief …
Early life – War leader – War of 1812 – Black Hawk War
… in other words ….
Although he had inherited an important historic math and astronomy INFORMATION DATABASE medicine bundle from his SYMBOL LIFE father ….
Black Hawk earned his status as a war chief code –> Black Holes war (Blacksburg, Virginia bullet Holes and grave Holes)
AND the
www.baesystems.com › … › View all Products & Services
BAE Systems
The world’s most successful and proven Advanced Jet Trainer aircraft, outperforming and outselling all other aircraft in its class
Thus we see the astrophysics galactic LOCAL REGION war to RECAPTURE EARTH using SYMBOL MACHINE language and equation MILITARY tools that find expression in PHYSICAL REALITY conflict displays ….. that generate an information database that SYMBOL MACHINE analysts can study and understand …that is …. understand the Carl Sagan messages in his book “Contact” .
kasmana.people.cofc.edu/MATHFICT/mfview.php?callnumber=mf55
In both, Ellie Arroway detects a message from the star Vega using a massive array of radio telescopes. The detection and decryption of the message, o
creation.com/carl-sagan-and-contact
Creation Ministries International
Aug 19, 2010 – Carl Sagan and Contact: Defiance of God and promotion of ET …. In due course she and
her team detect a “Message” in the form of a sequence ……
Let’s look at a component of the Germanwings air plane …. that is indirectly related to the MESSAGES.
We are interested in the plane geometry crash messages for the HAWK …. born in year 1942 –> pointer to key TIME numbers.
SEYNE-LES-ALPES, France (AP) — A black box recovered from the scene and pulverized pieces of debris strewn across Alpine mountainsides held clues to what caused a German jetliner to take an unexplained eight-minute dive Tuesday midway through a flight from Spain to Germany, apparently killing all 150 people on board
Above, we have the time sequence ..
TIME MARCHS ON —> 10.40, 10:41, 10:42, 10:43
–> code to the Max Planck WAR TIME codes.
Above, we have the time sequence ..TIME MARCHS ON
—> 10.40, 10:41, 10:42, 10:43 –> pointer code ….
—> years 1940, 1941, 1942 , 1943
Above, the TIME LORD at Caltech —> Caltech denies his existence code 1940
Below, TIME LORD at Cambridge university that lacks a communications bridge in year 2015.
Thus we have serious communication problems at arrogant universities and their ELITE, SUPERIOR administration of awareness of REALITY and facts of life.
What happened to Germanwings between 10:33 and 10:43?
www.universetoday.com/79418/planck-time/
Universe Today
Nov 19, 2010 – Named after German physicist Max Planck, the founder of quantum … If you’d like more info on the Planck Time, check out Wikipedia, and …
What happened to Germanwings between 10:33 and 10:43?
faculty.washington.edu/…/GrainySpace.html
University of Washington
By the time you divide one of these tiny units into a thousand minuscule …
tiny distance (about 10 to the minus 43 seconds) is called the Planck time, the shortest … in that direction when Max Planck found that even light was emitted in packets.
distance (about 10 to the minus 43 seconds)
distance (about 10 to the minus 43 seconds)
distance (about 10 to the minus 43 seconds)
….. is called the Plan …. the Project Plan ….. Planck time.
Let’s look at another blog post that provides more clues about HUMAN LIFE as a subset living embedded within the larger EARTH mathematical-physics dimensions of existence.
5
www.npr.org/programs/totn/transcripts/2003/…/030916.conan.html
NPR
CONAN: President Carter’s national security adviser, Zbigniew Brzezinski, joins us now to give us an insider’s look at what happened and to tell us about the …
Zbigniew Kazimierz Brzezinski (Polish: Zbigniew Kazimierz Brzeziński ; born March 28, 1928) is a Polish American political scientist, geostrategist, and statesman who served as a counsellor to Lyndon B. Johnson from 1966–1968 and held the position of United States National Security Advisor to President Jimmy Carter from 1977 to 1981. Brzezinski belongs to the realist school of international relations, geopolitically standing in the tradition of Halford Mackinder and Nicholas J. Spykman.[2][3]
The initial SYMBOL MACHINE announcement was made by President Eisenhower.
Thus we have the message –> military industrial complex numbers.
www.math.wisc.edu/…/complex.pdf
University of Wisconsin‑Madison
(15) where the cn’s are complex coefficients and z and a are complex numbers. It is a series in powers of (z − a). By the ratio test, the power series converges if.
www.ams.org/…/amstext-16-prev.pdf
American Mathematical Society
This leads to a number of other results, including the Fundamental Theorem of …. that acomplex power series converges on a certain open disc and diverges at …
An major region of math SYMBOL military enxpresions are military penetration of –> STATES of MIND, Schools of Thought, and various human streams of consciousness,
the subconscious, ot the Carl Jung collective unconsciousness (Group Mind ) of a community or college campus collective of students, administrators, and professors.
Now, let’s look at the Z-axis …… that is part of the SYMBOL MACHINE language evolution and its alliance with the Zbigniew military code Zbi.
Zbi code was authorized by
President Carter ( Carter –> Car + ter –> Carbon organic chemistry expression tiers/levels in molecule social chemistry expression format –> humans comprised of moleucles).
Another blog post explains the Z-axis and EARTH parallel universes and their message formats …….. that came to our attention when the Germanwings air plane crashed in the French Alps in March 2015.
The Z-axis WAR link of the Germanwings air plane crash, Lubitz, Lutz, and Totzke
RD-blog-number-4534 by Herb Zinser reviews a few events that have occurred over 20 years … that provides an information database that LINKS to the Germanwings air plane crash.
www.cnn.com/2015/03/24/world/gallery/france-plane-crash/
CNN
12 hours ago – A Germanwings Airbus A320 plane carrying 150 people crashed in the foothills of the French Alps on Tuesday, March 24.
Let’s look at some blog posts that study several factors that LINK to the plane crash … and then we had more ideas about the Z-axis continuum ….. between Lutz (year 1994) and Lubitz (2015).
In high school algebra…we had the distributive of algebra.
The Distributive Law says……
Example: 3 × (2 + 4) = 3×2 + 3×4 = 6 + 12So the “3” can be “distributed” across the “2+4″ into 3 times 2 and 3 times 4.
The reverse is true –> 6 + 12 –> 3 times 2 + 3 times 4 –> 3(2 + 4)
Using the Isaac Asimov psychohistory equation idea …. regarding concept equations ….we ahve
Lutz + Lubitz –> Z factored out –> Z ( Lut + Lubit)
The other blog POST cover —–> Z-axis, EARTH parallel universes, COMPUTER EARTH SYSTEM Z and human bio-computers, Earth Language and road map codes, SYMBOL MACHINES,etc
World War Z movie helps explain
the EARTH Z-axis space/time expression mechanismand Computer Earth SYSTEM Z
..with clues provided by the
Germanwings air plane crash in the French Alps
RD-blog-number-4533 by Herb Zinser reviews the Germanwings airplane crash in the context of Nature’s EARTH CMS (Content Management Systems).
en.wikipedia.org/wiki/Content_management_system
Wikipedia
A content management system (CMS) is a computer application that allows publishing, editing and modifying content, organizing, deleting as well as …
List of content management – Web Content Management – Document management
Let’ look at anther blog post that explains the z-axis and computer System Z …and some other related tragic signaling events that help form a BIG PICTURE context ….. with the Germanwings tragedy …… one of several information string theory SIGNALING events with some common denominators. After that, we will review the computer science word of co-pilot–> Lubitz.
Let’s look at the plane geometry x,y,z axis WAR and the Z-axis battle that resulted in the Germanwings air plane crash in the French Alps.
In addition, we will look at EARTH parallel existential dimensions and battles in that area.
World War Z movie explains
World War Z movie explains
the Z-axis WAR casualties of
the Z-axis WAR casualties of
the Germanwings plane crash
The Germanwings tragic signaling EVENT generated an information database that tells us of the mathematical-physics existential alliance between the Z-axis and parallel expression systems. Additional military alliance components and LINKS are revealed in analysis of the database in the context of a larger set of several databases containing Nature’s societal ERROR data signals.
casualties of the Germanwings air plane
in the French Alps LINKED to Paris ERRORS
RD-blog-number-4526 by Herb Zinser reviews the world-wide existential mathematical-physics SYMBOL MACHINE WAR and the recent air plane WAR casualties in the French Alps.The tragic signaling EVENT:
Germanwings Plane Crashes In South France, 150 Feared Deadwww.huffingtonpost.com/2015/03/24/germanwings-plane-crash_n…
Mar 24, 2015 · A plane carrying 150 people crashed in the French Alps on Tuesday en route to Düsseldorf, Germany, from Barcelona, Spain. No one is believed to have …
The information database of the signaling EVENT provides the keywords and concept needed to understand the situation in the context of the parallel processing WARS in the Z-axis dimension.
News: Germanwings plane crash: Co-pilot …news.blogspot.com/2015/03/germanwings-plane-crash-co-pilot…
Mar 26, 2015 · Germanwings plane crash: … the autopilot was reprogrammed by someone in the cockpit to change the
plane’s altitude from 38,000 feet to 100 feet …
plane’s altitude from 38,000 feet to 100 feet ..
‘Accelerated the Descent …ktla.com/2015/03/26/germanwings-co…of-plane-that-crashed-prosecutor
Mar 26, 2015 · … the flight by someone inside the cockpit to change the plane’s altitude from 38,000 feet to 100
EARTH LANGUAGE message for county road Z in Oconomowoc, Wisconsin, USA …..code 160 –> Hexadecimal Base 16 O = Oconomowoc …signal
code 150 dead —> number 15 = Hex’F’ ” signal to O = region of convergence (information convergence) at O = Oconomowoc.
Now, let’s review the Z-axis message CLUES ..about a puzzle of Nature that we need to understand.
We have the vertical Z -axis from high school algebra and plane geometry –>
thus Nature’s usage of an air plane by the school of thought (the SYMBOL LIFE and bio-math LIFE of plane geometry and math)….. that is …… Nature’s usage of an air plane as a MILITARY device for plane geometry …….. thought life and its MILITARY actions and messages ..such as the Z-axis altitude / height above sea level ….. of the Germanwings at 38,000 feet and its descent.
Then we have Lubitz … whose name has with code Z –> that is –> LU Z.
We have Totzke –> Z key
In addition we look at Totzke and Lubitz as Earth space/time messengers with subset code letters –> tz.
This contains 2 messages –> Time Zula –> Zula Time and the year 2000 Y2K space/time problem of astrophysics and EARTH physics that is not solved …and no one is working on the problem,… except me … and perhaps a few others //somewhere..
Universities refuse to help the space ….Y2K TIME dimension problem on EARTH …. a problem of existential physics and brain neuroscience bio-computer TIME subroutines.
The second version code –> Totzke and Lubitz as geometry messengers with subset code letters –> tz.
The graphic arts symbols –> tz –> 2 graphic arts code —> t and Z
The graphic shape–> t –> represents the intersection of the x-axis and the y-axis –> thus a miniature version of the x,y geometry axis is the English alphabet… small letter t.
Thus the combination symbols tz –>translated –> x,y axis (like a flat sheet of paper in high school algebra with the x,y coordinates for your quadratic equation drawing) and .. the addition of the 3rd dimension –> Z.
Thus tz of Totzke and Lubitz — > tz –> X,Y and Z axis / plane geometry reference coordinates in air/atmosphere / existence of space on EARTH.
Thus we see Nature’s minimum brain requirements and awareness laws ….. become a factor in some of Nature’s created TRAGIC education signaling events.
On final note ….. remember ToTzke –> Tot z key –> Z key …..
and he committed a z -axis message ..an axis message VIA the Ax murder.
www.jsonline.com › News › Waukesha County
Milwaukee Journal Sentinel
Oct 6, 2006 – An Oconomowoc man was ordered Thursday to stand trial on a first-degree intentional homicide charge accusing him of bludgeoning his mother to death with an ax … Mark D. Totzke was ordered by Waukesha County Court …
www.freerepublic.com/focus/news/1933654/posts
Free Republic
Nov 30, 2007 – (Son who killed mother at Oconomowoc home will be eligible for … Waukesha, WI – Saying the ax murder of Gloria JeanTotzke by her son …
…. in other words ,,,,,the cover-up about the more TRUE NATURE of the tragic signal
www.freerepublic.com/focus/news/1933654/posts
Free Republic
Nov 30, 2007 – (Son who killed mother at Oconomowoc home will be eligible for … Waukesha, WI – Saying the ax murder of Gloria JeanTotzke by her son …
consequently …..
fair-use.org/herbert-spencer/the-data-of-ethics/s.7
… in correspondence with external coexistences and sequences; and still more … said to be the continuous adjustment of internal relations to external relations.
in correspondence with external coexistences and sequences;
in correspondence with external co …… existences
in correspondence with external co-pilot Lubitz (tz code) existences and sequences;
www.freerepublic.com/focus/news/1933654/posts
Free Republic
Nov 30, 2007 – (Son who killed mother at Oconomowoc home will be eligible for … Waukesha, WI – Saying the ax murder of Gloria JeanTotzke by her son …
Let’s look at a city like Milwaukee, Wisconsin and the greater Milwuakee region.
West of Milwaukee is Oconomowoc ..the region of the Totzke messages.
In addition ..the Totzke code –> Tot + Z + ke –> Total Z key –> Total of Z (military formats) key.
Some Z formats are….
Z complex number
Z atomic number
Z ..z-axis in geometry
Z …in the English alphabet of 26 letters
Z –> Zwitterion organic chemsitry
Thus Oconomowoc is a REGION of Convergence for SYMBOL MACHINE information data streams involving Z.
fourier.eng.hmc.edu/e102/lectures/Laplace_Transform/node2.html
as well as the signal itself. All complex values of $s$ for which the integral in the definition converges form a region of convergence (ROC) in the s-plane. $X(s)$ …
fourier.eng.hmc.edu/e102/lectures/Z_Transform/node3.html
is inside the region of convergence (ROC) in the z-plane, which is composed of all $z$ values for the summation of the Z-transform to converge. The ROC of the …
www.tutorialspoint.com/signals_and…/region_of_convergence.htm
Region of Convergence (ROC) – Learn Signals and Systems in simple and easy steps starting from Overview, Signal Analysis, Fourier Series, Fourier …
Learn Signals and Systems in simple and easy steps
Learn Signals and Systems in simple and easy steps
Learn Signals and Systems in simple and easy steps
Thus we have an EXTERNAL image display of the difficult to see and understand .. the various human data streams of thought and the subconscious information data exchanges done between humans using music, television pictures and tricks, body language signals, dress codes, etc.
Thus math and bio-math of complex numbers are used by Nature’s systems to detect brain engineering problems and social engineering problems.
Applied complex variable –> draw circle on EARTH geography surface ….. to DEMO power series ..with complex variable Highway Z nearby.
Above, we see complex number Z ….. on the mathematical-physics geography math DISPLAY surface of EARTH.
Thus we have the Z-plane (Germanwings air plane at 38,000 feet) . LINK to the Region of Converegence at Oconomowoc, Wisconsin, USA.
Thus we have some pieces to Nature’s puzzling TRAGIC feedback control systems message.
Now, that we have covered complex variable and complex functions ..... and the Z-axis ax murder in Oconomowoc, Wisconsin, USA with the Oconomowoc REGION of Convergence DEMO signal (traffic roundabout with County Road Z nearby) ... be began to see the sophisticated expression system used by Nature's mathematical-physics expressions systems that consider humans, airplanes, towns, proper nouns, 38000 feet, etc ....... as existential entities..... information objects .. useful for generating data needed to explain the BIG PICTURE as reuired by the Theory of Everything.
en.wikipedia.org/wiki/Theory_of_everything
Wikipedia
A theory of everything (ToE) or final theory, ultimate theory, or master theory is a hypothetical single, all-encompassing, coherent theoretical framework of ...
www.particleadventure.org/unified.html
The Particle Adventure
Today, one of the major goals of particle physics is to unify the various fundamental forces in a Grand Unified Theory which could offer a more elegant ..
www.mathworks.com › ... › Digital Filter Analysis
MathWorks
z-plane(z,p) plots the zeros specified in column vector z and the poles specified in column vector p in the current ... Signal Processing Toolbox Documentation.
z-plane(d) finds the zeros and poles of the transfer function represented by the Andreas Lubitz BRAIN filter,
www.eas.uccs.edu/wickert/ece2610/lecture_notes/ece2610_chap7.pdf
A special feature of the z-transform is that for the signals ... Returning to the original sequence (inverse z-transform) .....
If we consider the z-plane, we see that.
a continuous-time signal
a continuous-time signal
a continuous-time signal
dea.brunel.ac.uk/cmsp/Home_Saeed.../Chapter04-Z-Transform.pdf
of the Fourier transform of a continuous-time signal, and the z-transform is a .... conveniently represented using a circular polar diagram such as the z-plane and ...
Z-Transform
4.1 Introduction
4.2 z-Transform
4.3 The Z-Plane and the Unit Circle
4.4 Properties of the z-transform
4.5 Transfer Function, Poles and Zeroes
4.6 Physical Interpretation of Poles and Zeroes
4.7 The Inverse z-transform
Z-transform, like the Laplace transform, is
an indispensable mathematical tool
for the design, analysis and monitoring
of systems. The z-transform is the
discrete-time counter-part of the Laplace transform and a generalisation of the
Fourier transform of a sampled signal. Like Laplace transform the z-transform
allows insight into the transient behaviour
, the steady state behaviour, and the stability
of discrete-time systems. A working knowledge of the z-transform is essential to the
study of digital filters and systems
Nature's generated DATABASE ......
--> One day I'm going to do something that will change the whole system, and everyone will know my name and remember," he told her.
Flight 4U 9525 crashed on Tuesday.
The woman, a 26-year-old flight attendant who flew with Lubitz for five months last year, was "very shocked"
Thus Grand Unified Theory (GUT) used Lubitz .... his subconscious MIND had the GUTS to convey a SYSTEM Z message
Number 26 .... reference to ferrous oxide IRON atom and atomic number 26 ..... the North Pole magnetic field flow lines that contain magnetic DATA FIELD life that interacts with the iron Hemoglobin proteins of 26 year old flight attendants and pilots,etc.
---> allows insight into the transient behaviour
, the steady state behaviour --> data CLUE using human information objects --> going steady with girlfriend --> The flat were Lubitz and his girlfriend lived
Above math symbol --> re --> andreas Lubitz.
Keyword --> andreas --> subset codes --> an re --> atomic number 26 + math code Re
Keyword --> andreas --> subset codes --> an rea --> atomic number reality TEST for European society and their bull-story explanations and incomplete analysis of the Oslo bombing, Utoeya, Leige attack, etc.
Biggest line of simple dribble ever written and published by newspapers considering the information about REALITY structure in modern science textbooks, the SCIENCE WARS conflicts, and the C.P. Snow "TWO CULTURES" war.
Now, let's review the SYMBOL MACHINE ...
Nature's SYMBOL MACHINE is comprised of nouns, verbs, concepts, math equations, flowcharts, etc. The ideas found in math and science textbooks are part of the SYMBOL MACHINE.
Using Galileo's suggestions of " 2 CHIEF WORLD SYSTEMS" we now perceive Sartre existentialism as partitioned into 2 or more data spaces....... the 2 CHIEF existential entities
1) physical reality of objects: concrete highways, iron automobiles, cellulose trees, humanoids, brain cells, atoms, etc.
2) The world of symbols, concepts, process control system flowcharts, biochemistry diagrams, math and physics equations, etc.
Maps and Territories - Rijnlandmodel
Language in Thought and Action, S.I. Hayakawa.
Chapter 2 Symbols Maps and Territories
There is a sense in which we all live in two worlds.
Thus we have the source domain of SYMBOL LIFE and thought that may get a mathematical-physics mapping to the destination range of physical biology with human proper nouns, human activities, etc on the geography surface of EARTH.
Now, look at some source domain SYMBOLS and their creation ...VIA the mapping process ..of the PHYSICAL REALITY event.
Below, the s-plane --> spain --> Barcelona, Spain and the Spanish code --> span ...bridge ..link to pain / horror/ tragedy
We are suggesting that the the inside of the unit circle in the s-plane --> is a EARTH geography circle that contains the Barcelona airport region with air planes on Spanish soil.... hence, at that geography mathematical location they are s-planes.
The the keyword code --> Andreas --> subset --> rea ...... real math space /time signaling events on EARTH
Lubitz --> Lu + Bit + Z --> Logical Unit (data) bit system(z)
en.wikipedia.org/wiki/IBM_System_z
Wikipedia
IBM System z is a family name used by IBM for all of its mainframe computers and human bio-math bio-computers.
www.ibm.com/systems/z/hardware/
IBM
IBM mainframes: Enterprise systems for in-transaction analytics, secure, trusted service delivery automation, advanced virtualization and open industry ...
www.ibm.com/software/os/systemz/en_US/
IBM
IBM z Systems software combines leading-edge solutions with the unparalleled capabilities of the z Systems platform. With z Systems software, you have an ...
bass.gmu.edu/~gbeale/ece_320/z_transform_01.html
Signals & Systems Z-Transform Example #1. We will start our investigation of the Z-Transform
by looking at the mapping from the s-plane to the z-plane which is ...
by looking at the mapping from the s-plane to the z-plane which is
by looking at the mapping from the s-plane to the z-plane which is
by looking at the mapping from the s-plane to the z-plane which is
Now, let's set aside the math details of the above (that is for others that understand that very difficult math engineering) and let's consider Nature's concept application ................
s-plane --> Barcelona, spain airport / land region
z-plane ....linked to the z-axis or the height above sea-level of the flight path
Thus the question ..... did the Germanwings Z-plane run into a unstable region in EARTH space/time mathematical-physics engineering continuum?
Did the Germanwings z-plane enter one of the 11 dimensions of M-theory or string theory
... a dimensions that is forbidden to human passengers.
A demo that illustrates the connection between the complex Z-plane and the frequency response of a system.
A demo that illustrates the connection between the complex Z-plane and the frequency response of a system. The frequency response is obtained by evaluating H(z) on the unit circle in the complex Z-plane.
7. Z-Transform
7. Z-Transform
Overview: In chapter 7 the z-Transform is introduced. This algebraic method introduces polynomials into the analysis of linear systems. Thus the well-known operations of factoring of polynomials, multiplying and dividing polynomials have powerful consequences and interpretations for digital filters. In general, the z-Transform system functions are rational functions-the ratio being a numerator polynomial divided by a denominator polynomial. Of particular interest are the polynomial roots which, in the case of feedback filters,
This lab introduces a practical application where sinusoidal signals ,,,,,,,,,,
This lab introduces a practical application where sinusoidal signals
This EARTH LAB introduces a practical application
where sinusoidal signals --> the French Alps
Thus you have a few pieces to a complex puzzle of Nature ... that needs more research and math / engineering people that can help develop the BIG PICTURE that is needed ...... and that may incorporate the Nikola Tesla EARTH waves and echo signature.
www.excludedmiddle.com/earthquake.htm
In the last years of the 19th century, technological alchemist Nikola Tesla may ... A vibration sent through the earth returns an "echo signature" using the same ...
Thus the oscillating sin waves and the French Alps ---> demo that illustrates the connection between the complex Z-plane and the frequency response of a system. The frequency response is obtained by evaluating H(z) on the unit circle in the complex Z-plane.
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