Zim Mathematics Applications

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Zim Mathematics Applications
Applications Page 1 Applications Page 2 Applications Table of Contents

A “logic clock” in this text is characterized as a input/output synthesizer/generator as those found in computer hardware and Software. This concept can be used to mathematically model the behavior of all humanly perceived item(s)/event(s), system(s), and subsystems(s). A subsystem(s) would be said to be a subset, in terms of functionality, of a system. Mathematical operations could be said to fall into this characterization category. Where +, -, / * could be modeled as Items/Events and Systems and their Sub Systems. I think this provides more existential possibilities than mathematical problems. And can further reinforce the "Logic Clock:" model . Using this concept , I hope to model mathematically the behavior of system subsystem paradigms such as Physical, molecular, biological, organizational, informational, and even try to explain the God paradigm. And come up with some new mathematical insights into the behavior of these systems and their sub system(s). This all makes more sense if you look at these systems as some sort of information system(s), temporal as well as "non conventional temporal". Physics, for example, being just one kind of information system. Looking at the applicable systems mentioned above as some sort of Information system makes them amenable to Linear-Matrix Algebra. In order to find the functionality of a system subsystem paradigm I use linear and matrix algebra. The functionality of a sub system(s) is said to consist of a Constant functionality Unit unknown or Cx. The cumulative functions of a sub system(s) as in matrix algebra. The system transformation is said to consist of a Unknown functionality Unit constant, Xc. As in a Linear Transformation. The product of these two give system functionality. I believe there exists a Mathematics of Knowledge units/Informational units involving their existential properties as in Physics and physical properties. The notion of independent and/or competing systems or subsystems does not give systematic results and can lead to erroneous conclusions and results pertaining to the system of concern.

Logic Clock Examples Table of Contents

Take the functionality of a computer. The functionality of a computer is generally thought to consist of cumulative functions of the computer, as in a matrix. But this does not give the complete functionality of the computer. We need a function transformation to attain the external functionality of the computer, also. Also needed is some information on behavior of the computer not mentioned in the given and stated functionality. And also we need to know what the computer actually does during it's existence. Or in other words the unique functionality of the computer......I feel this System paradigm applies to all other systems or intelligences. Including Systems of life, physics constants and law statements, Math statements, Word Definitions and other existential Item(s)/Event(s)

Take the God/Universe paradigm as another system subsystem paradigm. You may say, how can we do that?? As people do in many other mathematical, religious, etc situations, we find a way to approximate. Looking at God as the system transformation and as a “logic clock”. Trying to find a System Transformation as in a God Transformation comes from trying to understand the context (or functional context) of any set of relationships. Such as with common informational properties ( Quan */ Qual Math would be useful in expressing this ). Other context could include where does the sub system(s) (Universe) come from, what is it's purpose and any other conceivable context. Not sure why we feel we need this to understand, but for some reason we do. Getting the product of a System with another System would give non meaningful or non intelligible results....And taking man as a sub system(s) also modeled as a ‘logic clock’ we find this can fit into the linear - matrix algebra model. Also we can look at the Science of Physics as the cumulative functions or relations of the Universe as in Cx. And God as the system transformation, Xc. The product, Xc*Cx, giving system functionality, or at least the best approximation.

Examining qualitative properties of Systems vs Sub Systems will be explored. Keeping in mind the difference of qualitative input and output between systems and sub systems underlining a new nature of time, maybe as a Logic Clock.

C (Life + Death) x ....C (A + Not A)x .......C (Life + Not Life)x.......X(Order)c * C (Life + Not Life)x!

After Life: (Everything = Anything = Something = Nothing) ; f(x)=XEverything (Human + Non Human)c */ CEverything (Human + Non Human)x */ XSomething (Human + Non Human)c */ CSomething (Human + Non Human)x */ CAnything (Human + Non Human)x */ XAnything (Human + Non Human)c */ CNothing (Human + Non Human)x */ XNothing (Human + Non Human)c . Every (Life A + Non Life A) = Any (Life A + Non Life A) = Some (Life A + Non Life A) = Non (Life A + Non Life A) . Try for Some Life A = Jesus; Any Life A = Mankind's Life A; Every Life A = Heaven; Non Life A = Spirit?;

Responses evaluated for IQ tests: Every( Overall Response) */ Some (Unique Response) */ Any (Response) */ Non (Responses)

By acknowledging the existential and mathematical properties of these terms we can come up with many useful results and applications. Even though these expressions are not always completely calculable.

Every(x) */ Any(x) */ Some(x) */ None(x) ; This expression gives full functionality to any item/event. Where the four system components of behavior and their sub systems can be factored by factor/proportion to give a complete System-Sub System functionality. System-Sub Systems can be looked at as Functions and their Sub Functions.

EA is the Principle System ; The top down hierarchal illustration shows the sub function math constructs. And illustrates the dynamics and nature of subsequent applications in: Table of Contents .

The existence of Sub Systems implies that there are more sub systems. Factoring Sub Systems by factor/proportion always gives new sub systems. Thus the inclusion of a Sub System factor is important. Sub System Dynamics can effect System Functionality.

Where f(x, g(x)) is interpreted as f (items/events, g(items/events); x interpreted as a dynamic system variable where its definition is also dynamic. This is looked at as a functional System and Sub System relationship where the System and Sub System define each other. A self standing f ( items/events) expression is not adequate to reach a mathematical value. Examples: Fruit (x, Apple(x)); Food (x, Apple(x)); Mass (x, Apple(x)). This can also indicate System ×/ Sub System existential dynamics. For example: Apple (x, Mass (x)); where Apple(x) is considered a Sub System of System Mass(x); would indicate an interesting Sub System to System dynamic.

I read recently (07/26/2008) in "Science" magazine that group theory is thought to be a possible way to solve such entanglements. Unfortunately I have not studied Group Theory, but I do know about Sets and Trees. Here is a picture of a Tree of functional transformations as described above (also see: Trees of Knowledge and Life / Math Art)

The above diagram illustrates HOW some functions and sub functions are Mathematically relate able and some are not so relate able. Or in other words, the Sub System to Sub Sub System dynamics are more relevant for each branch. The relevance between branches needs more mathematics than among one branch. My System Relational Transformation mentioned below can aid in analyzing/solving the above tree.

x = any perceivable item(s)/event(s) and/or system/sub-system(s) or "Logic Clock". The man(x) expression would be axiomatic here.

A System Relational Transformation
A Basis for Knowledge.
Every(x) = Any(x) = Some(x) = Non(x) and/or Every(x) */ Any(x) */ Some(x) */ Non(x).
x = any System and/or System and Sub Systems.

God's/System Experience Axiom: Where Every(x) = Any(x) = Some(x) = Non(x) somehow for an simple existential System. Showing possible solutions for any Every, Any, Some, or a Non given or proposed Functionality for this System. A System having a variety of ways to behave is not such a new and strange idea, but contrary to current Physical models. You could say that at each level of the "System/God Transformation" mentioned in above section, when evaluated for a particular System or Sub-System level, that this System Relational Transformation holds mathematically and existentially correct and true. There may be other ways of evaluating a System or Sub-System level which would aid this process.

The existence of this Relational Transformation makes Webster's Dictionary possible as in Every (word A) = Any (Word A) = Some (Word A) = Non (Word A). It could be called God's Search Engine. Or Every (Atom B) = Any (Atom B) = Some (Atom B) = Non (Atom B). The Human System Functionality can be expressed in the same manner. Every Human Function = Any Human Function = Some Human Function = Non Human Functions. As for the Universe paradigm; Every (x) can be expressed as the Total Context of the Universe, Any (x) can be demonstrated as the content of the Universe, Some (x) can be shown as the purpose or reason for the universe (creation), and Non (x) could serve as the non functional component of the context, content or reason for the Universe System. Why do I say they are equal? The components possess the same functionality regarding the System. Functionality given by their definitions, ie the Word A and even the Atom B (See Atom(s) - Math Art ), etc. ......But the sub component(s) or sub-system(s) of a system (man image) behave differently in the complex transformation......The existence of the relational transformation in any System makes intelligent and predictable behavior possible.....I will try to come up with more useful implications and applications later.

Note: This Theorem does not apply to Generalities. Only to discrete system-sub system(s). A Transformation of a Generality (Systems of only Cx) would become unintelligible. (See Non Equality Axiom & Human Reality Map application - Table of Contents & Info. Poem & "Tower of Babel" Human Reality Map). The given Relational Transformation is a Humanly known source of intelligence, applications of other relationships to system - sub system(s) may fail. I think the Theorem will hold even if a time factor is incorporated: Every f (xt) = Any f (xt) = Some f (xt) = Non f (xt) Looking at Systems of Time and Functions of Time in this expression can help understand behavior in time as with Relativity (Any (Universe Time) × Any (Human A Time) = > Every (Human A Time). See Thought Experiment : Beer Can & Amoeba in Outer Space .....A possible future application would be to develop Mathematically what an opposing or enemy Xc would consist of in the Defense System modality and how to deal within the Cx, Xc, & the System Transformation paradigm(s) that are revealed in the above text. Factoring an offensive Xc might be better for the overall expression viability than eliminating a factor. Adding factors are, of course, of interest......

With the System: Every (A1) */ Any (A2) */ Some (A3) */ Non (A4) */ Every (B1) */ Any (B2) */ Some (B3) */ Non (B4) ; any An influences any Bn. All Bn or An are different mathematically but are functionally the same. This could model Atomic phenomena for example. Such as with: Every (A ) * Any (B) => Every (B).

Another implication, Theological and otherwise, may be the following: Every(" System " A) × Any ( Human B) => Every (Human B). Or in other words: Factoring Human B functionality with a God / System functionality could give Every functionality for Human B ( or Human B Life + Non Human B Life).

Also look at: Look at: mc2 = E with Any(B) × Every(A) => Every(B) ; Any(B) = mass , Every(A) = C2 , Every(B) = Energy and A & B are systems. A is the principal system and B is a Sub System. Zim's given Transformation(s) would indicated there is more going on in the expression: E = mc2 , than is originally indicated. Application of this expression to conventional Informational Item(s)/Event(s) can provide a Critical Mass expression of Informational Item(s)/Event(s).

This Transformation can also be used to explain Spatial relationships between an Atom and it's Electrons: Every (Atom A) × Any (Electron A) × Every (Atom A) × Any (Electron B) = > Every (Atom A) × ( Any (Electron B) × Any (Electron A)) => Every (Electron (A × B) = Any (Electron (A × B) = Some (Electron (A × B) = None (Electron (A × B) ; the system functionality given by: Every (Electron (A × B) */ Any (Electron (A × B) */ Some (Electron (A × B) */ None (Electron (A × B) . This could explain some of the odd behavior of observed electrons by the different components of functionality for a Atom/Electron System. Such as the behavior of a "Quantum Computer" described in the February 25, 2006 issue of Science News which gives accurate results without running. An explanation could be that as the above relational transformation shows that all results are already known by system Every(x) for any Any(x).

Perhaps the equation of Physical Forces: Every(force) */ Any(force) */ Some(force) */ Non(force) can be better solved by looking at Weak (Atomic/Nuclear) forces as a subset of Strong Forces as in existential practicality , they are.

See Critical Information , Physics Constants at Table of Contents for more Atomic/Physical relationships within this relational Transformation.

This Transformation also shows how God can equal Love ( I John 4:8 of the Bible) where the Transformation shows Every (Love) = Any (Love) = Some (Love) = Non (Love).....; Non(Love) could = "Tough Love". This may also explain the complexities of Love. Where Love has appeared chaotic in Human History....this may show a rationale, rhyme or reason, to variation in Love behavior and a basis for Moral Love......ALSO Every (Evil) = Any (Evil) = Some (Evil) = Non (Evil) can validate Biblical statements that evil or "Any (Evil)" is just Satan or "Every (Evil)". And also in the Bible is the quote from : Genesis 2:17 "But of the Tree of the knowledge of good and evil, though shalt not eat of it: for in the day that thou eatest there of thou shalt surely die." I find this particularly interesting to this application of the System/God Transformation. Looking at the above Transformation "tree" as some sort of the Biblical Tree. And that Life as well as Death is included in this transformation. Maybe in the Old Testament they didn't consider the full Transformation as outlined above....I see evidence in the Old Testament of indirect reference to the Functional Transformation: Every(x) */ Any(x) */ Some(x) */ Non(x) or at least to; Every(x) */ Any(x); or maybe Every(x) */ Any(x) */ Some(x) . In the New Testament there is indirect reference to the Relational Transformation: Every(x) = Any(x) = Some(x) = Non(x) .

I think it is easily possible to get creative with this using well known mathematics. A good exercise topic would be to explore free will or human behavior parameters.....Man's behavior or Man(x) has constraints and thus the behavior is said be Axiomatic. This can explain why the Human Reality Map will always fail. Functionality can be found in the above mentioned System/God Transformation. But it probably would not be contained within the finite/axiomatic parameters of any "existing" Human Reality Map Cx.

All items and their events are said to be unique. The intersection of any Items/Events are said to give a 'Constant'. Or any Item/Event expressed in Quantity and Quality of unit one is said to give a 'Constant' also. I will start to express these concepts in ordinary objects like Apple, Orange, Pear, Fruit, in Scalar/Functions, which all are said to be unique. (Item×/Event) unit 1 is said to give a limited ( quantitatively and qualitatively) constant

(1Apple + 1Orange + 1Pear) ×/ Some Constant C; C is said to be here the intersection of the Items/Events in the Numerator. Fruit could be said to be the intersection of the items in the numerator.

(X1 + X2 +X3 ×/ Event A) expressed completely as one unit gives also a 'constant'. X1, X2, X3 are item objects as in the numerator on the line above. Event A is an intersecting event of X1, X2, X3. This would differ from the constant found in this expression: X1 ×/ Event A

E (in joules) = m (in kilograms) multiplied by (299,792,458 m/s)². Or E= MC²(See Bibliography in Table of Contents) C could be said to be the intersecting event of all Matter and Energy. Giving another constant - E, limited by M & C. Giving another Creative Math. interpretation of Einstein's famous equation.

Some other Item/Event expressions of possible interests which highlight existential Mathematics basics:

Usually all perceived existential objects in Zim Mathematics have both items and their events. But for Mathematical analysis they can be considered separately as described above.

Item and/or Event(s) Time A + Item(s) and/or Event Space B => Item/Event (Unique) ; Relativity/Existentialism - Time / Space. Einstein?

Items / Events A ×/ Items / Events B ×/ Items / Events C => Items / Events D; Zim Mathematics

(0ItemA + 0ItemB + 0ItemC) / (1EventA + 1EventB + 1EventC) => 1ItemD/1EventD; Zim Mathematics

(1ItemA + 1ItemB +1ItemC) /(0EventA + 0EventB + 0EventC) => 1ItemD/1EventD; Zim Mathematics

(0ItemA + 0ItemB +0ItemC) / (0EventA + 0EventB + 0EventC) => 1ItemD/1EventD; Zim Mathematics

More Item or Event analysis with more existential behavior interpretation. Item and/or Event Intersection(s). Examples:

Any (Atom A Item or Event) × Every( Molecule B Item or Event) = > New System (Item/Event C);

Some (Event A/Item C) × Some (Event A/Item B) = > Every(D) + Any (D) + Some (D) + Non(D); This could be used to interpret the mechanics of a system life creation transformation and its process. Or at least aid in fleshing out the existential mathematics of this process. The intersections of Event A in two sub Systems is made possible by a Union of function of a System A.

Efficiency may be given new analysis by looking at the intersections of system behavior components and their sub systems with intersecting items and/or events. Or intersecting sub functions and functions. This would be a new look at asynchronous vs. parallel or pipeline processing. And could possibly be used to further maximize efficiencies in manufacturing or assembly line activities. Or other physical behavior.

Cause/Effect and Reason in The System Sub System model with Items and/or Events Expressions: Table of Contents

Reason as stemming from Cause/Effect in a System - Sub System model could be said to exist in the intersection of Items and/or Events in Systems and their Sub Systems.

A clock could be expressed as an Item/Event(s). Useful in Theoretical Relativity study.

Math. Art Expressions of Intersections of Items and/or Events in Existential Systems documenting Knowledge, Intellect and Prayer states: See: Universal IQ/Knowledge in Math Art section.

Intelligent Behavior is some form of Math Expression Constant: See Table of Contents in Introduction

Intelligent behavior can be said to be forms of Expressions of Existential Expressions, which give a unique existential Expression with a Quantitative Factor or Correlation. Accordingly the most effective Expressions are those of the Universe and Universe Laws to it's Sub Systems and Creation. Other forms of Expressions and thus Intelligent Behavior may be possible. The nature of these "Expressions" of Existential Expressions is of interest here.

Taking Systems modeled after Network Systems and applying the System/God Transformation to them can provide interesting results and have useful implications. First of all it is easier to conceptualize an Information System as some sort of Network System. And thus would be easier to model a Cause/Effect system or an Information Time system which is of interest in this web site. Some implications of such a Network model would be the existence of a Non Network Information Item/Event. And a Every Network Information Item/Event. These Information events would be more readily conceptualize able under a Network System model. The Cause/Effect Information Network in the System/God model would enhance the current Scientific model.

Although these expressions are not always completely solvable we can determine such things as non-functionality vs. functionality. Non functionality can be mathematically stated in my System Subsystem paradigms as a transformation of a subsystem that does not exist. Or is not stated.

In modeling behavior of Atomic particles we can get new insights. Just by looking at man as a ‘logic clock’ measuring behavior of an atom also a ‘logic clock’ where the system functionality (universe) determined by their product with system transformation also a ‘logic clock’.

Using above principles, knowledge of and perceptions of “Human Reality” give a Human Reality Map (See Math. Art Link). We can find many useful applications of this map. Two of the main principles of this concept are that the Human Reality Map sooner or later always fails (any time frame) and that the Map consists of the common perception of Human Reality (a given). This map, with its flexibleness and endless possibilities can be used to find alternatives to violent confrontation as in war. By determining a relevant map that always fails and just find a simple way to make it fail sooner than later. Or by constructing Human Reality Maps that fail. You or "something" can always make a better reality map. Using Informational/Knowledge units is better than using Atoms for weapons. Any Human Reality Map (A human given, Cx) has a product with some Xc, giving potential for ever expanding map. Maybe you can prove there always exists an Xc but not a unique one (Cx Math Applications). Or you could say the Map Cx is always "Incomplete" Godel. Giving possibility of terminating any existing map. Something can always be added to or taken from a Human Reality Map - Cx. Using existing Mathematics this Human Reality Map concept can be applied. Modeling other paradigms with this Human Reality Map will give alternatives to their manipulation. ....Also; a Reality Map can be modeled as a System. But any map or system can also be said to be composed of dynamic Sub-Systems or contextual Systems; identifying these components would indicate failure factors.

AND per my Math Expression Constant and Axiom that all existential expressions are unique (See Table of Contents):

God A + God B + ..... + God Z + A + B + ....+ Z = > Truth N × C ; This shows that Reality Maps consisting of various forms of truth give a unique Truth value.

Note (10/20/2008): A Human Reality map can be looked at as a Sub System or a System. As a Sub System the Human and Human Reality map would also be looked at as some Sub Function. Looking at the Human or Human Reality map as a System would give no different result to the above conceived Human Reality Map.

Looking at ‘logic clocks’ as input/output synthesizer/generators give new perspective on intelligent behavior and can be used in exploring possible unknowns in all surroundings. This would be useful in Artificial Intelligence.. An another type of unknown could be stated as a "Non Intelligent entity" which could be an entity with no known Mathematically determinable Context. This type of value has Mathematical significance in quest for unknown knowledge. Which I claim there is. Mapping of Common Informational Properties may give clue of existence of these Non Intelligent Entities. Artificial Stupidity....a variation of the Artificial Intelligence discipline....could have some serious/useful applications.

A system functionality of legislation can be determined with Xc*Cx Model. Looking at legislation as a complex system inside and outside the box. Functionality vs. Non Functionality can be determined within this model. Instead of simply adding to legislation, this model can be used to streamline processes and maintain principal functionality. Using the above mentioned Complex System modeling method as a flow charting method. The role of sub-system definition in system functionality can be graphically demonstrated in this complex system example. Where a sub system (Human Being) modeled as part of the legislative complex system outside the legislative box, can be "defined" changing the system or legislative system functionality. This role of sub system "definition" in system functionality can be used to model behavior in physical, molecular, biological, business, organizational, informational and religious complex systems.

Examining the famous Quantum Mechanic "Photon Slit" Experiment we can explain the non temporal and thus the non causal or non rational results of the experiment as the Non Functional component of the above stated System Transformation used in assessing System/Intelligences. I have also coined the phrase "Stupidity Constant" for the Non-Functional Component which should be found in any System. An article, "Easy Answers - Quantum computer gives results without running" in the Science News , February 25, 2006 issue; shows that a Quantum computer can give accurate results with or without ever running! A possible application, which I hope to elaborate on later, might be in incorporating this mathematically in defense systems giving alternatives to aggressive functional applications. Or alternatives to violence. Not doing things, could be as effective as a system of just doing things. Each functional component of a system, sub system has a corresponding non functional component in that system, sub system that can accomplish the system goal or support the system goal. A defense system developed with this in mind would have an increased, efficiently and cost effective, arsenal. Example: Losing a war or confrontation can be as effective as "winning". Keeping in mind all the components of System Functionality in the above mentioned System-God Transformation. "Negative Weapons" within a complex system of Everything & Anything & Something & Nothing could also be a serious option. The nature of existential "negative weapons" a creative topic of concern itself. Note: the component of the System Transformation, Non ((-)Weapon). A method for the Solution of this expression can be found in the Table of Contents under Cx or Constant unit Unknown Expressions. Or you might ask, what could you NOT do to win a war. Waging war could be more considered as waging Reality. Which is not always the case now.

Looking again at the fact that every perceived System/Intelligence possesses a Stupidity Constant. I wonder about the nature of Intelligence and Human Intelligence. Can Intelligence be found to exist without Stupidity. I don't think so. This sheds light on a MAJOR Human preoccupation of striving for behavior of "Intelligence" and some sort of achievement. And perhaps there is no such thing. And now perhaps this can be scientifically verified. What does humanity strive to do if a significant component of all behavior in the Universe by anything is Stupid or a Non functional component to that system. The perspective in our dealing with System(s) or ourselves should change. System dynamics might be useful in dealing with this phenomena. Perhaps not investing so much in our systems but maybe in the potential change of systems, based perhaps on perceived intelligences.. For Example: Making machines out of recyclable parts, making multipurpose, convert able buildings, or Bio Engineered products that can accept external factor(s) as a Transformation(s).....

The argument that some one or System(s) is stupid in regard to proposed response to that some one or System(s), is not valid. No one system(s) has a corner on the market of stupidity. An appropriate argument for a response to a System(s) behavior may be all components of the system(s) are not taken into consideration. Or what System resources or behavior are available to deal with this behavior. Any "System" of Intelligence is as defective as any other "System" of Intelligence.

Looking at a "System" of Entropy perhaps modeled as a Constant Nothing functionality unit unknown (Cx) or an Unknown Non Functionality unit constant (Xc) work can be produced from a chaotic system modeled within the Complex system sub system paradigms mentioned in this section. See (Cx Math Applications). for methods in determining Xc.) This can be done by looking at a chaotic system as a sub system of some ordered system or some factor of a Complex ordered system. As with an ordered system, consisting of a constant environment, set of conditions, and/or some constant perceivable context. Charting of these systems can be done as in flowcharting, determining functionality vs. non functionality as the charting proceeds. Only partial calculability of Complex System Sub Systems is necessary for results.

Mathematical Applications of Constant unit Unknown expressions Table of Contents

As stated above, any item(s) and/or event(s), system-subsystem(s) can be expressed as a product of Xc - Unknown Functionality unit Constant and Cx - Constant Functionality unit unknown. Xc is a single function transformation and Cx is a cumulative set of functions as found in Matrix Algebra. (Cx is now commonly used to express all perceived item(s)/event(s) or Systems.) Thus any cumulative set of functions are said to have a common relational informational unit. I can use this principle of mine to find relationships of previous paradoxes found in the Sciences and Arts. For example, C (Apple + Orange)x , has no meaning in Mathematics , but I say there must be a common relational and informational property between these two perceived items. Using this principle and choosing the terms intelligently new relationships and understanding can be determined. Where not even an Apple + Apple necessarily equals two apples in Zim's System/God Transformation. This Cx could have many functions such as Apple + Apple = Applesauce! or Apple + Apple = No Apples ....over time. This highlights systemic errors in Modern day Mathematics as shown in Zim's Paper to Rocky Mountain Section of MAA 1997 .Any Item(s)/Event(s) + Any Item(s)/Event(s) can be found to have function(s) or Informational functionality. This principle could be used as evidence for the existence of a System Transformation as in Xc for all Cx. Where the statement....."Man in God's Image"......Transformation Exists....Truth Possible.....Can be proven and better understood. And this could indicate the basis for a Creative Axiom in Mathematics. Creativity can take many forms of course. But Creativity in Mathematics and Functionality are of concern here. Intelligent selection of Cx terms can aid in the determination of the Xc Informational and Relational transformation needed in the above System/God Transformation to make the expression Mathematically workable. This may show that Informational Functionality can be found for all Cx. Even otherwise Random systems.

More Examples: C( Item + Event) unit x; C( Item A + Event A ) unit x; C( Item B + Event A ) unit x ; C ( Item(s) + Event (s)) unit x ; C ( Right + Wrong) unit x ; C ( True + False ) unit x ; C( A + Not A ) unit x; C (Life + Not Life )x; C (System A + System B) unit x; C ( C (Atom A + Atom B + Electrons ( A-C)) unit x + C(Man) unit x) unit x. Etc.

Take for example: f(x) = A + Not A; where x not equal to A and where x .NE. Not A. A could = Apple. Or ..take C (Nothing A+B+C) unit x where where f(x) = f ( A) + f ( Non A) + f (B) + f (Non B) + f ( C ) + f (Non C) and f(x) not equal to f ( A) + f ( Non A) + f (B) + f (Non B) + f ( C ) + f (Non C). A could = Apple, B = Orange, C = Pear. Also see this example of Common Informational Properties and a Relational Transformations with Apples and Oranges. This provides an example of how Common Informational Properties can be flow charted and each of its Relational Transformations solved Mathematically. It is also noted, for the purpose of documenting the Informational & Mathematical feasibility of this application, that a standard function can probably be generated for any word item and it's definition , found in a Webster's Dictionary.

A new look at Definition Theory and Complexity may help this analysis. Where the relationship between sub system(s) definitions and system functionality is looked at. This could be useful in a dynamic Defense System. Also See: Reason Space Art and System - God Transformation .

This type of publication should be used only when all other methods are not viable. This differs from other similar types of publications in a few significant ways. This includes the complete/comprehensive and durable publication of pertinent facts. It is important to distinguish between facts and other forms of expression. However facts can take many different forms otherwise not recognized. Informational and Informational relationships are one other form. Making viable such things as Non Agreements or Non Law. A functionality is guaranteed under Zim mathematics. This is a effective and durable principle and can bring positive results. It can bring much confrontation which must be weathered. Quan */ Qual Expressions can be very useful in CLaw(x) expression. C Law x utilizes ALL information while Law 1 uses only limited specific information. See Constant Unit Unknown Applications

Have you ever wondered about Reality and Morality, there divergent properties yet commonality, somehow. How about Reality and/or Morality Trees to explain this phenomena!?

Also take : Every(word/statement1) = Any(word/statement1) = Some(word/statement1) = Non(word/statement1); as giving the definition of word/statement1.

Where clearly: Every(word/statement1) = Any(word/statement1) = Some(word/statement1) = Non(word/statement1) ≠ Every((word/statement1)word/statement2) = Any((word/statement1)word/statement2) = Some((word/statement1)word/statement2) = Non((word/statement1)word/statement2)

This shows a link to a "New" form of word definition to the actual meaning of written Law.

Another kind of CLawx could be called Sub System Law. (See Math Story section, "I don't want to be just a Sub System"). Where the Sub Systems of concern (all items/events in this paradigm are considered a Sub System) derive their Law System by either of two methods:

Disproportionate use and control of Information a danger to our Democracies

We in Denver have come aware of the alarming number of cameras in public places, like streets and buses etc. I am aware of the logistical nightmares Law enforcement must have in working in largely and increasingly more Anonymous cities. But many sense this disproportionate use and control of information is a danger to our democracy. I propose a mathematical analysis of this use and control of information by Government and perhaps other sources. Perhaps if this information is not controlled and used disproportionately by government or other sources and can be used by public sources as well, this information would not be such a danger. I am aware of the Freedom of Information Act but this maybe should be expanded on. Also information on Government activities might be considered for gathering, for public domain use also. Some of this is done on C-Span, but of course could be expanded on. We were all not born yesterday, in fact many of us read "1984" in Public Schools when growing up in the 1970's. Or was it the 1960's. The analysis of use and control of information could bring our cities down to size for Law Enforcement and Democracy principles as well.

The Economic System of concern is quite often controlled or governed by the monetary medium employed in the economic System: I again would like to suggest a Monetary System whose functionality is give by the Information System Transformation: Every(dollar) * /Some(dollar) */ Any (dollar) */ Non (dollar)

Every(dollar) - "Utopia Buck" - Work for a "religious" group for a "better world" and/or "better eternity". It says in Bible "God owns the cattle on a thousand hills". This could be the Every (dollar) denomination. Remember "Separation of Church and State". This effort and their results are known to exist but are not completely Quantitatively and Qualitatively calculable. Thus the need for a separate "dollar".

Some(dollar) - A unique but existent item such as an invention or person. The Some(dollar) denomination could be Quan */Qual X1dollar. The "invention" or "person" would be an existent component of this open Quantitative and Qualitative expression and could not be factored out..

Any(dollar) - The dollar denomination could be an Barter expression. Any item/event could be used in this open Quantitative and Qualitative expression. This could include any item(s)/event(s) making it truly negotiable tender.

Non(dollar) - Any Mathematical Non Functional component of the Economic System can be identified as a System Resource. Food Banks, Clothing Banks, Thrift Stores, Recyclable "Waste Products", or any Non Functional Component of a System, can be utilized and turned into Economic System Resources. These components can be a resource to the Economic System itself. This could be the "Free Lunch Component" and this system's component Non(dollar) denomination.

All these components could be said to exist together in the System Transformation. And thus a new Economic / Monetary System is born. The unique status of each of the System's "dollar" components is important to the Economic System of concern. The status , as always, can be established by the Government or Controlling body.

"Critical Dollar" can be achieved by this now familiar expression: See Table of Contents for Critical Information.

Every(A) ×/ Any(A)×/ Some(A) ×/ Non(A) ×/ (Every($)+Any($)+ Some($)+ Non($) ); or

a pure dynamic expression without temporal parenthesis may be:
Every(A) ×/ Any(A)×/ Some(A) ×/ Non(A) ×/ Every($)+Any($)+ Some($)+ Non($)