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Lifting Platforms Beyond Calculus for Total Application Optimization MetaCalculus, LLC Choreographing a Cloud Revolution Todays mainstream programming technology cannot meet the agility requirements for timely R&D exploration. We have lifted FORTRAN beyond calculus and can use this higher platform to lift other languages like Python to automate modeling and computerization to apply a new deep-nested, massively parallel approach to multi- disciplinary design optimization of new one-of-a-kind applications.

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A S CIENTIFIC M ASS -P ARALLEL P AA S MetaCalculus Python from MetaCalculus Fortran + Spiritext + Spreadsheets Diversified MetaScience Platform as a Service for R&D buildout … The Platform as a Service will provide virtual massively parallel cloud supercomputers end-users can program and interactively run from PCs or Android tablets. MetaCalculus provides the modeling paradigm for an R&D race build-out. This will be a renaissance of IBMs original R&D growth of the computer industry, driven by end-user scientists and engineers, pursuing free-energy and a commercial renewal of the space program. But it will involve all software communities, first recycling most of the extant scientific software into the new mathematical regime of parallelized optimization.

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A S PUTNIK M OMENT 1957 Brought Two Wake-up Calls – Sputnik and FORTRAN FORTRAN empowered engineers – Peer Division of Computing Labor Engineers programmed models Programmers produced algorithms R&D Computerization Blossomed MetaCalculus, LLC Meta Science Foundation IBM unexpectedly became a monopoly by introducing FORTRAN in 1957. It was initially resisted by the professional programming establishment, but generated enormous demand and application generation by appealing to engineers and scientists. They could learn FORTRAN in about 2 weeks, and became end-user programmers. In the Space program, shared R&D programming in FORTRAN became the norm, eliminating the need for requirements specifications, since the users evolved their own programs as needs dictated. Programmers and mathematicians were engaged to create solution algorithms for them to use as subroutines. So development was rapid, and R&D race timeframes could be met.

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As computing cost fell And labor cost rose The burden should have shifted From expensive labor To cheap machines via Very-High-Level End-User Programming Languages 10000 1000 10 0 10 1 0.1 0.01 $22000 $50 $10 $0.08 1957 1965 1972 1980 Daily Computing Cost $70 $150 $200 $100 Daily Labor Cost But IBM aborted the mid-course correction Instead we got PL/I, then C A portable assembly-language surrogate Later C++, then Java, then C# Holon Paradigm PROSE APOLLO TS Market By 1962, however, solid-state performance kicked in and inverted computing economics. Companies like GE began capitalizing on it to introduce interpretive languages like BASIC with interactive time-sharing, which threatened IBMs compiler lock-in market control. IBM retaliated with vaporware fighting machines, knocking GEs threat out of the monopoly game. By driving mighty GE out of the computer market, IBM forked the whole industry and created a moratorium on end-user very-high-level languages which threatened lease life (in 1970). We were just designing PROSE then, after four years of applying the new holon paradigm during Apollo. We entered the TS market in 1974, but we had only seven more years before the TS market infrastructure vanished with the PC cusp.

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Recyling Grew & R&D Computing Atrophied Recyling Grew & R&D Computing Atrophied IT Recycled Staple Commodity Packages IT Recycled Staple Commodity Packages Business Week, 1980 Algorithmic Languages PL/I, C, C++ Prolonged Hardware Lease Life IT High-Cost Production via IBMs fork re-established the dominant slow pace of guild labor in professional programming to prolong computer lease life. Recycling of staple (mass use) software became the dominant priority, as it could amortize the prolonged labor costs. This also refocused programming on low-level machine-oriented algorithmic languages articulated for recycling and maintenance (e.g. strong typing). New R&D applications, being largely exploratory and one-of-a-kind, were not enabled by this posture, so industrial R&D automation atrophied. This was exacerbated by portable hardware languages like C, which emphasized machine address fetching (the assembly-language worldview), unnatural to engineering modeling, instead of problem-data addressing like FORTRAN. This characteristic became a guild-gotcha, that further discouraged end- user DIY programming. It was propagated to the successor lingua franca, C++, and was not removed until languages like Perl and Java came along, after programming labor- intensity had well passed the 100,000 multiple (in the previous chart).

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IT Waterfall Labor – Recycling & Maintenance – Mass staples & OS focus – Cosmetic agenda – Cant diversify in Science Know how to program but not what R&D Model Originators – Poor Modeling Tools – Ad hoc custom needs – Custom math agenda – Highly diversified Science Know what to program but not how Today - Modeling Gap: R&D Attrition The reason scientific computing has withered away, except in big-budget science, is that software technology is now driven by programmers who have no modeling skill, and dont even comprehend the needs that define new modeling technologies. For 40 years, programming has been consumed with recycling and maintaining old software functionality. The whole open-source community is dedicated to this. Their main enterprise, Linux (recycling of Unix) has now been balkanized into over 200 strains. We have many languages at the same algebraic level of capability, differentiated mainly in style. Programmers without end-user guidance are mostly re-inventing wheels. This is fractionated chaos. What happens when chaos reigns? A tipping point! Turning this hurd of programmers into MetaCalculus search-engine mechanics (they are now SQL mechanics) as peer collaborators with end-user modelers (who convert science to equations) is the way to start an R&D race of end-user drivers and programmer mechanics in pursuit of free-energy invention (the polarizing goal like the Apollo challenge of going to the moon).

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T HE M ARKET N EED Programming Tools Dont Match the Need B Y E ND -U SER S CIENTISTS & E NGINEERS So R&D Demand is Pent Up Q UICK P ROGRAMMING OF N EW S CIENTIFIC M ODELS N OT P ROGRAMMERS The only way to serve the new energy invention agenda is through end-user scientific programming. The lack of mass demand in end-user programming is a totally artificial situation resulting from IBMs fork and moritorium 40 years ago, and the consequent lack of vertical evolution toward end-user modeling. A giant leap occurred in the time- sharing era, and we are now ready to bring it back in the cloud.

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R&D Demand Curve Narrow Opportunity Windows number of projects analyzed time to complete Never decision threshold MetaCalculus Opens the Door The Market potential is Huge, but Infant mortality kills demand NOW For R&D Market Growth Insufficient time to complete application programming is the critical constraint on R&D market growththe NOW demand constraint. It drastically restricts demand because conventional programming labor cannot even come close to satisfying the constraint. Agile development is a band-aid that doesnt come close to satisfying this need. It doesnt even address the catch 22, because science learning curves (the diversity burden) are too steep for programmers to meet NOW timeframes. End-user scientists and engineers must drive the software. Programmers must work the engines and the software media (GUIs & languages). A peer re-alignment in the division of labor can shift everything in a sea change.

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Compiled Languages Interpretive Languages AD Pioneering 1966-1980 MC1 – Model Compiler – NASA Apollo1966Model Compiler MC2 – MODTRAN - FORTRAN Interpreter1967MODTRAN – Optimization & Estimation Modeling with Fixed Algorithms MC3 – SLANG - Macro Language1968SLANG – Added System Dynamics Algorithm Differentiation MC4 – SLANG/CUE1969 – Modular/Relocatable Programs & Algorithms MC5 – PROSE - Commercial Batch Processing1973PROSE – CDC Cyber, IBM 370, Univac 1100 Service Bureaus MC6 – TSPROSE - Commercial Interactive1975TSPROSE – CDC Cyber Systems (Cybernet, United Computing Systems) – Stabilization of Meta Calculus Paradigm 16-bit Hiatus – Automatic differentiation infeasible on segmented memories MC7 – Fortran Calculus 77 – DOS PC (protected mode) Version1990Fortran Calculus 77 MC8A – SyCal, Synthetic Calculus Fortran 77 (coded – not tested) 1994SyCal MC7B – MC-Fortran 95 Dialects: FC2, MetaCalc, MetaFor (+Spiritext) 2010Spiritext MC9 – (Parallel Meta Calculus - TBD) 2013 – MOB Search (MetaCalculus Optimization Broadcasting) Optimization Modeling Paradigm MetaCalculus evolved the highest level of software expression, capitalizing on nested algorithmic differentiation to achieve a new holon modeling paradigm for optimization. It evolved four generations at TRW and NASA. In 1973, the first commercial language, PROSE (MC5) was introduced, and the sixth generation was introduced in 1975. MC5 and MC6 were marketed nationally to engineering users in Fortune 500 firms. The demise of the time-sharing market in the early 1980s interrupted its growth and the 16- bit mini-micro machines caused a hiatus, as interpretive automatic differentiation-based optimization was not practical on these puny machines. In 1989-90, non-interpretive MC7 (Fortran Calculus) was developed to satisfy DuPonts requirements to port PROSE software to PC, Vax, and Cray machines. Subsequently MC7 was re-engineered into a new MC8 multi-language API for Windows NT machines. This development was shelved in 1995 due to uncertainties in Windows platforms and lack of funds.

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MetaCalculus is Escalation VERSUS 125 Statements 25 Statements Higher and Simpler Problem Expression Math Under The Hood Math in The code FORTRANFortranCalculus Holon Modeling Paradigm BTW, How would you approach this problem in Python? Optimal Design & Control Escalation is raising expression to a higher and simpler metaphoric paradigm in which the one who knows and creates the science is in the driver seat, and all of the detail is under the hood. This is what a spreadsheet does and it is what SQL does. Users do not have to know how the search-engines work in order to define search queries. Holon modeling self-organizes problems in the most natural way, like DNA. It is not something we invented. It is something we discovered. MetaCalculus is an ontological paradigma fact shown to us by systems philosopher, Arthur Koestler, who coined the term holon, and integral philospher Ken Wilber, who used it to describe his Theory of Everything. Thus it is a natural escalation paradigm for all mathematical modelingit is not arbitrary. All mathematical languages will eventually incorporate it.

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Holon Modeling in TS Era Simulation Holon Correlation Holon Optimization Holon The 1975 R/D Magazine article Computing in Calculus, explained the modeling paradigm, without using the philosophy term holon. This limited PR is what helped us expand from Control Data Cybernet service to several other time-sharing vendors. CDCs Minneapolis staff sat on their hands, so we broke their exclusive when they reneged on announcing PROSE in January 1974 with their new line of Cyber70 machines (part of our strategic deal and critical to our PR strategy). This is probably why nobody remembers either PROSE or Control Data. 15 years later, the academic mathematicians, who started a publishing movement, based on our semantics (automatic differentiation), missed the point of a modeling paradigm shift. We had leapfrogged them to holon modeling, which moved their work under the hood. They are Matlabs boutique marketnot an R&D modeling market, like FORTRAN unleashed in 1957. They are tool makers, not science modelers.automatic differentiation

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PROSE Met NOW Modeling Needs Hughes Aircraft - Satellite Antenna Design Optimization - 3 weeks – FORTRAN estimate = 6 months R&D Associates - Maximum Likelihood Estimation - 2.5 hours - Mentored – FORTRAN estimate = 1 week Rockwell International - Space Telescope Optics - 2 days - Mentored Tektronix - Electron Trajectory Optimization - 3 Weeks - Mentored Ford Aerospace - Laser System Design - 3 days Wyle Laboratories - Noise Abatement Optimization - 1 day TRW - Optical Systems Optimization - 3 weeks – 6 months FORTRAN effort unsuccessful Sierracin Magnedyne - AC Motor Design Optimization - 1 day – MentoredAC Motor Design Optimization Goodyear - Radial Tire Design – 1 hour - Mentored – 6 month FORTRAN effort unsuccessful Bechtel Corp. - Steam Power Electric Network - 3 Weeks - Mentored MetaCalculus Time-Sharing History PROSE proved how MetaCalculus can revive R&D productivity. Using it, scientists could express their prototype models directly and automatically connect powerful search engines to seek optimum solutions. Then they could experiment with the output response of the searches, gaining insight to adapt and evolve the models, without exceeding their meager R&D budgets, not encumbered with the prohibitive cost of supporting mathematicians and programmers. PROSE introduced a peer process of extreme modeling, whereby scientists with modeling knowledge, assisted by mentor mechanics with expertise in PROSE solution engines, jump-started new applications in time to meet proposal deadlines, for example. This peer division of labor is what we can now spread to the whole industry with a new PaaS approach.

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Holon Templates Language Add-Plug Ins SYSTEMS SIMULATION Initiate … Integrate SYSTEMS CORRELATION Find … to Match SYSTEMS OPTIMIZATION Find … to Maximize Calculus Matrix Engine Harness Meta Calculus Extended Languages Interchangeable Solution Engines Languages: Engines: System: API Nested Automatic Differentiation Modeling Holon Alphabet OpCo Si Meta Calculus is a holon modeling paradigm that generates software to solve nested matrix-inverse problems, generally for applications involving design optimization, scientific method correlation, and systems simulation. It is a three-element solution calculus that extends high-level languages to a much higher level of implicit matrix expression, by adding metaphoric operators that command hidden matrix-solution tools. These tools are dynamically interfaced to user-defined models via a calculus matrix engine harness, which performs automatic differentiation of the models and differential-geometry coordinate transformations to recursively nest and de-nest iterative search engine and simulation processes. The modeling paradigm achieves unprecedented simplification at a very high altitude of abstraction because the three matrix-solving tool-operators are true conceptual building blocks of hierarchic mathematical matrix systems, but hide the mechanics of their solution processes. This is the mature legacy of PROSE that scientists used before the PC era, to personally program sophisticated applications which middleman programmers could not even conceptualize in the lower-altitude framework of algorithmic languages. We will now review the calculus of variations problem again to examine its semantics.

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TWOPT Find Y 0 in TRAJ to Match Y 1 TRAJ Integrate DIFF DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) AD Arithmetic A Find A in TWOPT to Minimize OBJ OPTDES Find Y 0 in TRAJ to Match Y 1 TWOPT Integrate DIFF TRAJ DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) Optimal Design & Control Application Visible Source Code Metaphoric (Non-Algorithmic) Template Modeling Correlation Solver Optimization Solver AD Arithmetic Y 0 DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) TRAJ Integrate DIFF Simulation Solver (non-algorithmic) Holistic: Simultaneous Equations Differential Coordinate System Inheritance This optimal design and control application is a simple but sophisticated mathematical example involving all three solver classes. It is an optimization problem containing a two-point boundary value simulation. The inner boundary value simulation must find the initial condition of a coupled set of differential equations to match a terminal point boundary condition. This is an iterative inverse problem, and so is the outer optimization problem. Thus we have nested inverse problems, in which the inner one solves a set of simultaneous differential equations. Both perform automatic differentiation of its respective model to compute the gradient and higher derivatives of the function being searched for the solution condition. This involves the recursive nesting of the two differentiation coordinate systems. As the inner solution is found by iteratively searching its coordinates until the solution condition is matched, its differential results must be transformed for use by the outer optimization solver in its search for the optimum condition. This requires an iterative differential geometry coordinate system transformation, which is part of the search- engine harness.

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Find A in TWOPT to Minimize OBJ OPTDES Find Y 0 in TRAJ to Match Y 1 TWOPT Integrate DIFF TRAJ DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) Model.diff zdot=x**2+y**2 xdot=-a*x+y ydot=x+a*y end Model.traj y=y0, x=1, z=0, t=0, t1=1 initiate athena for.diff equations zdot/z, xdot/x, ydot/y of t step dt to t1 integrate.diff end Actual Program in TSPROSE language (1975) Problem.optdes interact find a in.twopt to minimize obj end Default optimization solver: hera Model.twopt find y0 in.traj to match y1 obj = z/2+a**2 end Default correlation solver: ajax This is the actual source code of the example in the time-sharing version of PROSE. The Meta Calculus statements are colored black to distinguish them from the more familiar language syntax, and the solver engine names are color coded to denote their membership in the solver classes. Note the absence of I/O statements, except for the INTERACT statement, which communicates with a terminal. Standard reports were generated by the default optimization and correlation solvers, employed in this example. So the user did not have to waste time in programming I/O while experimenting to get results. Note also the absence of any loops or IF statements, even though the solution is iterative at three nested levels. FortranCalculus Spiritext Version

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Find A in TWOPT to Minimize OBJ OPTDES Find Y 0 in TRAJ to Match Y 1 TWOPT Integrate DIFF TRAJ DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) Global all Problem.wing execute.setup find eis,alpha in.flex by thor under.tcon with bounds delei,delalp with lowers ieu,alphau holding weight matching altotl to maximize winglift tabulate xs,y end Model.beamivp x=0, y=0, dy0dx=dy0, xf=h, y(1)=y0 initiate athena under.acon for.beamode equations d2y0dx2/dy0dx, dy0dx/y0 of x step h to xf for i=2 to,npts do integrate.beamode y(I)=y0, xf=xf+h repeat ypa=dy0dx-dy1dx end Model.flex find dy0 in.beamivp by ajax under.icon to match ypa for k=1 to nei do eiavg=eiavg+alpha(k)*eis(k) repeat winglift=integral(force,0,x,4)/ eiavg weight=wtmax-eiavg altotl=arrasum(alpha)-1 rowprint eiavg,winglift, weight,altotl tabulate eis,alpha end Another Program with Same Template Wing Design Optimization (1976) Model.beamode sum=0 for j=1 to nei do if(x ge sum and x lt (alpha(j)+sum*wl) then goto ode endif sum=sum+alpha(j) repeat dy2dx2=-integral(force,0,x,4)/ ei*(1+dy0dx**2)**1.5 end Controllers This is the essential part of the source code of another application having the same design pattern. This is a wing design optimization program that solves for the flexural rigidity vector and wing-section length vector that maximizes the lift of a cantilevered wing while holding a weight constraint greater than zero and matching a wing length constraint. Note the under phrases in the find statements and the initiate statements. These phrases call a special type of user subroutines (not shown in the slide) which are known as solver controllers. These controllers are portals that pass option values to the library solver engines (thor, ajax, and athena), in this case. This is the way solution mechanics tune the engines, when necessary. It is how traditional programmers adapt the engines as peer assistants to end-user modelers, when numeric instabilities emerge and the iterative engines dont converge. FortranCalculus Spiritext Version

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Hidden Mashup Intelligence: Automatic Poly-Algorithm Synthesis Find A in TWOPT to Minimize OBJ OPTDES Optimization Solver Find Y 0 in TRAJ to Match Y 1 Correlation Solver TWOPT Integrate DIFF TRAJ Simulation Solver DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) Holonic Algorithm Components Differential Geometry Coordinate System Transformation Algorithm Automatically Synthesized Hybrid Algorithm AD Arithmetic Y 0 AD Arithmetic A Similar to spreadsheet modeling, users are generally unaware of the sophistication of the metaphoric program synthesis they are achieving with simple nesting of Find statements in their ad-hoc models. Under the hood they are dynamically assembling hybrid poly-algorithm search-engines, in which the hidden solver and users model for each holon subassembly, and the differential geometry coordinate system transform (which recursively nests the holons), are its assembled composite parts. By metaphorically automating this wrapping of ad-hoc model components in hidden solution assemblies, this three-element template alphabet spans the full spectrum of applied mathematics. Yet the embedded models are simple formula procedures like spreadsheets, and the solvers are interchangeable engines. Thus the program code is merely a hierarchy of simple algebraic problem definitions, relating outputs in terms of inputs, in templates that connect solution matrices to the solution engines. With this metaphoric simplicity of problem description and interchangeable engines, modeling becomes a process of experimenting with canned solvers. Once a solution is found by a set of solvers, it can be easily validated by substituting different solvers, and comparing results. Programmers become solver mechanics by experimenting while porting legacy simulation applications into optimization applicationsa major new business that automatically shifts the software division of labor into a higher-productivity posture.

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Mashup Template Patterns FortranCalulus Spiritext The three-element alphabet of matrix-solving tool operators gives rise to generic composite templates of matrix-inverse problems, as shown here, each outlining a broad class of science and engineering application motifs. These design pattern archetypes, like the design patterns of object-oriented programming, unify and simplify the higher-order expression of problems. There are relatively few patterns, because the number of permutations of a three-element alphabet are limited. This enables quick recognition of how to assemble new application programs, self-organized by the form of the equations in the scientists models. This in turn gives rise to a high-leverage division of labor based on mentoring of design patterns by programmers, as tutors to scientists who learn to address their problems and articulate them by interchanging tools and tuning their solution progress by solver- control options.

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TAO – Stack-Fan Optimization Total Application Optimization – Practical MDOMDO Optimization Model Stacking (holon searching) – Maximize Profit Minimize Cost – Maximize Performance » Minimize Weight … Parallel Fan – MOB Searching – Many search engines, each from grid of start points – Global search results in output database Each holon nest multiplies iterations. Too expensive in TS era. Now practical in Cloud for everyone. Plenty of computer power. Holon Modeling Today … The big shift today is deep nesting of constrained optimization and automatically parallelized searching. We couldnt afford this in the TS era due to the cost of computer time. We didnt have multi-core GPUs then. Today holon modeling can lead to affordable automatic supercomputing for every inventor, student, researcher, and manufacturer. TAO is a branded method we can use to blitz the OEMs into backing our alliance. All it will take is one of them: Amazon, or HP, or Google, or Oracle, or Apple, or Microsoft. Then the race will be on. MDO (multidisciplanary design optimization) can now be afforded by all organizationsoperations of the organizations themselves will be optimized on many levels, as well as the products they design and manufacture. So MDO will become the gold-rushspurred by the free-energy genie. With the FORTRAN skills of baby boomers, now freed from the constraints of their former employment to become our VAR marketing executives, this revolutionary potential is unprecedented in history.

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MOB: Embarrassingly ParallelEmbarrassingly Parallel Constrained Optimization Unconstrained Optimization MOB (MetaCalculus Optimization Broadcast) searching takes away the computer performance issue even if each level of nested disciplinary optimization is made up of nested mashup template patterns involving optimization of differential equations, like the wing-design problem previously shown. With todays many-core GPUs, there is hardly any conceivable limit as to what can be optimized simultaneously. Moreover, MOB searching is a global optimization strategy. All of the extrema in a defined hyperspace can be found in a single MOB run. A MOB PaaS infrastructure can implement a variety of platform strategies, public clouds like AWS, collections of cooperating private clouds in VPNs, even distributed internetworked PCs. MOB provides the compute power to search very high fidelity models that typify large simulation codes. Thus world dynamics models, ecosystem and economic-system simulation models will be routinely converted to optimizataion. Simulation was the 20 th Century solution method. With MOB, optimization will become the 21 st century solution method.

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Holon Modeling Paradigm SYSTEMS SIMULATION SYSTEMS CORRELATION SYSTEMS OPTIMIZATION MetaFor NAD Semantics Metaphoric Solution Tools Language : Tools : Engine : Kernel Nested Algorithmic Differentiation MENU EXECUTIVE SYNOPSIS SOURCE CODE DESCRIPTION & ANNOTATION SOURCE CODE IN PREFORMATTED HTML ELEMENT 1 ELEME NT 2 ELEME NT n... Collab Notes Collab Notes Collab Notes Our web portals add the important new technology of dynamic documentation calledSpiritext which flashes an explanatory web of information to the reader of the source code. This is a background sub-hypertext which follows the stream of attention of the reader via mouse-pointer tracking, and enables her to navigate to online context- sensitive documentation connected anywhere via the web. It allows her to insert notes to collaborators with reverse links to her messages added to the source text. Spiritexting can become as popular among researchers as phone texting is today.Spiritext These web portals will be the public cloud PaaSs we use to introduce the new services. The major growth of our partnership will be in small public-cloud PaaS venues adminstrated by Stackato (i.e. local ISPs). These public clouds will be the collaborative venues where new application-specific media are evolved by our VARs.

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Cloud OEM Partners PaaS Cloud Marketing MSF Meta Science Foundation Diversified Open Source Development Open Cloud Service R&D Domains VAR Matrix Meta Calculus Corp. Core Technology Development Master VAR IDE Composers Run Browsers Enterprise Service This is our vision profile of the MetaScience Alliance in its final steady state form, illustrating the two cloud portals, both revenue producing, but one being non-profit (the Open Cloud Service supporting open-source communities) which will primarily offer bleeding-edge MetaCalculus service with free self help forums, and the other being for- profit (The Enterprise Service) which will offer stable MetaScience dialects with Spiritext Wiki tiered support from Cloud OEM partners, backed by the Master VAR, the VAR Matrix, and by MCC. It is not intended that there be a rigid tier hierarchy of support, but rather a support marketplace where contributions are metered and participation is rewarded after the fact, like restaurant tipping, based on customer preferences. The Master VAR is the webinar-based recruiting and VAR education agent, as well as the market maker and contracting agency of the VAR matrix, adopting a role similar to program offices in aerospace companies who manage projects performed by the matrix. This matrix is not to be exclusive to any of the major partners, as collaboration is intended to trump competition in this alliance.

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MetaScience VAR Culture Buildout OS Extension Modeling Platform Core languages: MC-Spirit-Fortran (3 Dialects) Extension Languages (e.g. MC-Spirit Python) – GAEMY Wrapper Translator Publisher Development GAEMY IDE & Output Interpreters – EverGlade escalated GUI Composers – MIDUS Tablet Menu IDE – Spreadsheets & MOB drill-down Browsers Domain Diversified Modeling Interfaces – VAR Modeling languages: Spirit-Python variants GAEMY escalated Wrapper Translator-Publisher Developments GAEMY – VAR GUIs (Pallet-Modeling) EverGlade Escalated Visual Modelers EverGlade VAR Investment & Co-investment projects We envision enlisting a VAR culture to help us build out a modeling platform terrace above todays operating systems, to enable end-user scientists and engineers to rekindle R&D application development. Its core languages will be three dialects of Spiritext- augmented MetaCalculus Fortran. Extension languages will include Spiritext-augmented MetaCaculus Python and other dynamic dialects developed using our GAEMY escalator. IDEs will be both GUI-pallet based composers produced by VARs using our EverGlade escalator and Googles GWT for the web; and rolling command-line IDEs for tablet-finger mode based on our current MIDUS menu IDE. Output interpreters will be both spreadsheet based and MOB drill-down browsers developed with EverGlade/GWT with webkit or mozembed XML/HTML5/JavasScript implemented hypertext. We expect this mathematically-generic base to proliferate into a great host of domain- diversified modeling interfaces produced by members of our VAR culture, financed as co-investment projects with funding from within and outside the culture.

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VAR Licensed Assets/Tools: 7 Pillars of MetaScience Culture Fortran Source Core Assets MC Kernel Library – NAD Arithmetic Infrastructure MC Solver Libraries – Optimizers, Correlators, Simulators, Utilities MC Language Translators – FortranCalculus 2 (F77-like) – MetaCalc (PROSE/BASIC like) – MetaFor (F95-like) Build Tools and Scaffolding MIDUS Console Menus PaaS – Asset Build & Test System Spiritext Wiki Publisher – Webcode Site Generator for all languages GAEMY Translator Escalator GAEMY – MS (upper) Languages Evolver – Spiritext Parsers Evolver EverGlade GUI Escalator EverGlade – Gtk2 GUI Evolvers – Aligned with GWT for Web GUIGWT Having experienced the leverage of PROSE in re-awakening R&D agility with time- sharing, I knew that remote computing would emerge again one day, and I set out to prepare for the opportunity when it came again. I knew that I could only cope with the scientific diversity by providing escalator tools for others (VARs) to use to build the new ecosystem infrastructure. Knowing that documentation was the software Achilles heel, I first built Spiritext in 2001 to resolve that problem. Next I tackled the language and GUI media evolution problemboth handicapped by the same vertical-evolution flaw I had encountered in Yaccthe half-baked compiler-compiler of Unix. Now I have the MetaCalculus FORTRAN assets, and four more scaffolding systems which our VARs can use for the MetaScience Multi-PaaS buildout.

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MetaCalculus Mechanic Training 101: – Coders become MC Solver Mechanics – ORE Mining of Legacy Simulation Code - Metamorphosis MetaCalculus Mentor Training 102: – Solver Mechanics become Evangelist/Mentors – ORP EXTREME MODELING Collaboration MetaCalculus Sales Training 103: MetaScience Multi-PaaS Buildout Training 104: – 7 Pillars – Language Design – GAEMY, Spiritext, MIDUS MetaCalculus Python (App-Generic Pylon) Pylon Fan (App-Specific Dialects) – GUI Design – EverGlade & GWT GUIDUS from MIDUS App-Specific Composer Icon Pallets VAR Recruiting & Training ORE mined and recast modeling component libraries During the last 30 years of OOP and the data-search 4GL (SQL), I have seen a precursor of what is to come, as SQL, originally focused on end-users, was taken over by professional programmers, who became SQL mechanics. But like the FORTRAN build-out which preceded it, the SQL buildout had to build up from nothing, so its has taken decades. It could not be merely recycled like GNU compilers and Linux, which is why the technician skills of Stallman & Torvalds, as the guilds pied pipers, were sufficient to challenge Microsoft and give Google the keys to the kingdomfor free. But this MetaScience Multi-PaaS buildout will be a blitz. Programmers can become MetaCalculus engine mechanics practically overnightby recycling again. But this time it is recycling plus escalationsimulation to OPTIMIZATION. MetaCalculus is thereby an autocatalyst to create an army of R&D catalysts (evangelist-mentors) as end-user modeling peers. It will be simply another recycling buildout using the 7 MetaCalculus pillars farmed out like tractors to our VAR community, who will evangelize these peers in collaboratively spawning newly modeled design applications, and producing new application-specific media (languages and GUIs) from the ORE mined and recast modeling components accumulated over time.

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MODEL DESIGN FMODEL PUMP MetaFor SUBROUTINE DESIGN FUNCTION PUMP Fortran Optimization Re-Engineering Simulation Program Optimization Program CompSci Intern Role FIND x,y,z to maximize f OPTIMIZATION Automatic Differentiation Mentor-consulting can be quickly learned by programmers as interns by porting legacy simulation programs to MetaCalculus-Fortran and applying the optimization solvers to convert the old code to new optimization applications. This way they learn to apply the library solution engines, qualifying themselves to support new customer modelers as solution mechanics, helping them rapidly prototype new concept optimization programs from their original science models. Thus optimization re-engineering is a means of shifting IT programmers back into the organic peer driver/mechanic division of labor that characterized the original Fortran era of the Space race. They will pick up some science in this process, but that is not necessary or even important except for use as fodder for learning the engine behaviors under a taxonomy of the mathematical loading of certain types of equations. What the equations mean is not their concern, but rather that of their end-user partners. There is another major benefit that is a by-product of ORE miningthe purification of software by separation of modeling science formulas from algorithmic code. This is an automatic separation of concerns (SOC)Dijkstras well-known principle of software architecture. It accumulates modeling formulations as purified science expression for further refining and aggregation into modeling alphabets via text search and other forms of software archeology.

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Mechanic Knows: Equation types Solver Engines Driver Knows: Equation meaning in science EXTREME Part-time Support Application Spawning MODELING Optimization Rapid Prototyping Mentor consulting is a leveraged method of horizontal marketing, easily mastered by programmers as repurposed part-time evangelists. It leverages complementary skills of mentor and client (race mechanic and driver) in a brief transaction to frame equations in a prototype design pattern. The engineer-scientist client provides problem knowledge, while the mentor-mechanic shows how to apply MetaCalculus design patterns and solution engines. Thus there is no learning-curve delay to block R&D growth. This is an extreme form of extreme programming, which squares its cost-time reduction. Mentoring sales-acquisition can be broadly outsourced, as a rapid-fire spawning process with economy of scale. The mentors brief encounter jump-starts the end-user into programming his own model. This part-time mentoring of end-users will augment the normal creative work of programmers in media building (next slide)

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Spiritext WebCode Compiler Wiki Sites Domain Modeling Languages Specific MetaFor Source MC7 MetaFor Source MS8 Wrapper Translator Publishers MetaFor IL Compiler FORTRAN/C/Perl /Python/SQLSource MetaFor IL Compiler MetaScience Domain VAR Language Terrace Design Stack Binary Code F95 Compiler F95 Compiler F95 Compiler MC Kernel & Engine Library Driver/Mechanic Collaboration Strategies Modeling Component Library Domain Alphabet Dialects of Base MC Languages TAO Parallel PaaS Strategies GAEMYGAEMY Compiler Mechanics MIDUS Solution Engine Mechanics Spiritext Wiki Mechanics 1 2 3 4 MIDUS Numerical Engine Builders R New Solver Engines The MetaScience buildout by the Domain VARs will be like a diversification fan-out into the various R&D application domains. This design stack represents the rich division of labor that will evolve internally to the escalation language PaaS terrace above and below (in libraries) the current crop of compute-bound languages like Fortran and C, in concert with I/O bound scripting glue languages like Perl and Python, and database languages like SQL. Tier 1 involves compiler mechanics applying the GAEMY escalator to produce wrapper translator-publishers for domain-specific dialects of the base languages MC- Pylon and MC-Fortran (MetaForone of three current dialects). Tier 2 involves programmers catalyzed by ORE mining to become solution-engine mechanics & end- user evangelists, who focus on TAO objective nesting and MOB searching (multiple solvers/grids) for assisting end-user clients in solving R&D models. Tier 3 involves Spiritext Wiki Mechanics (in coordination with Tier 1 mechanics) to enhance the wiki- side of Spiritext, including lockstep (code & documentation) version control and tablet portal Spiritexting Collobaration. Tier 4 will involve numerical mathematicians who build search and prediction algorithms in Fortran.

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Mechanic Knows: Equation types Solver Engines Driver Knows: Equation meaning in science HIGH Part-time Support Application Spawning MARGIN Optimization Rapid Prototyping This chart is critical to understanding the key difference between selling to IT buyers and selling to R&D engineers. IT selling is low margin vending. The IT buyer cant judge the value you are selling, only the R&D end-user can. R&D business is high margin because we are selling solutions into a race condition, to assist the client in a winning situation---a winning proposal, first into the market, a vastly superior product, etc. This is consultative selling, where service price is based upon the situational value of winning---not on price competition in the market. As the master VAR, this is the value proposition and sales training you will be providing to VARs---how to consult with a peer modeler, who the VAR mentor as solution provider (solver engine mechanic) is helping to solve a sophisticated time- critical problem. She may even be a modeling consultant who also happens to know the MetaCalculus engines. This is why we seek VARs who are highly diversified application- domain specialists. MetaCalculus is the attractor to you as service agent, who screens opportunities, negotiates service prices, and assigns VARs to the opportunities. You are the program office for the global VAR matrix you recruited with your webinars.

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MetaCalculus Contains Jay Forresters legacy in K-12* education is now OUR MANDATE MetaCalculus in Middle School via GUIs Can leap 7 grade levels in math modeling From Algebra to the Calculus of Variations Simulation Solver DIFF X = f(A,X,Y,Z) Y = f(A,X,Y,Z) Z = f(A,X,Y,Z) Integrate DIFF TRAJ System Dynamics The Promise of System Dynamics Modeling in K-12 EducationThe Promise of System Dynamics Modeling in K-12 Education, D.M. Fisher & P.J. Potash * GUI Terrace Starter Kit … Forresters GUI motif in Stella, Vensim, and Powersim GUIs are our PaaS springboards. His major legacy has been a GUI motif for the posing of dynamic feedback models of differential equations systems, without the user having prior knowledge of differential and integral calculus. This motif provides an alternative and far simpler mode of introducing these esoteric math concepts in an application framework long before the students have the mathematical maturity these subjects require in their standard pedagogy founded upon hundreds of years of traditional teaching methods overloaded with mathematical formalism. The SD GUI motif is the key to engaging the open-source community and the current SD modeling crowd to join the MetaScience buildout, using EverGlade. Domain diversification is not required initially, since these motifs are totally generic math. But they will create a starter kit for a diversified multitude of domain-specific GUI motifs, like NASAs FDS (spaceflight operations), Berkeleys SPICE (circuit design), or Synthas Syntha 2000 (turbine power-plant modeling).

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MetaCalculus Umbrella GUI for SD SD Survived R&D attrition due to its Modeling GUI: MetaCalculus Umbrella Icon Alphabet is – System Optimization Semantics – SOS – System Correlation Semantics – SCS – System Dynamics Semantics – SDS SD Motif can be subsumed in MC GUI To pave the way to MetaScience Modeling Like Forresters legacy, the vast potential of MetaCalculus is its capability to advance human understanding of mathematics and science the way automotive machines like cars advance the physical power as human extensionsby placing most of the motive force and intelligence under the hood, and simplifying its use. Driving automobiles is vastly simplified, as is the operation of all kinds of machines, including advanced aircraft, by coupling the intuitive and autonomic symbiosis of man and machine, bypassing the formal mathematics used for navigation and control. Jay Forrester has led the way, which MetaCalculus can follow.

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SOS SCS SDS STELLA/VENSIM Translator SD Motif Modeling GUI MC Composer GUI SD to MC Translator MetaScience Domain VAR GUI Terrace Design EverGladeEverGlade/GWT GUI MC Patterns Starter KitGWT By producing the combined MetaCalculus and System Dynamics graphical modeling motif we can engage a mass movement of SD modelers among Forresters followers as VARs to teach the higher math of MC as the upper optimization and correlation terraces above SD. This includes three major SD purveyors who can become part of our Alliance Choreography Group. This will add to other VARs specializing in building the GUI media using our escalator scaffolding tools for evolving GUI and modeling language specialization into diversified application domains.

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Engineering Education Using Spreadsheet for Output Comprehension Rows Match Model Lines Name in column 1 Formula in column 2 FIND Output morphed into spreadsheet To show iterations of Independent parameters Constraints Objective Function H AC Motor Design Optimization Re-Engineered from BASIC Simulation into PROSE optimization (in just a few hours) Historical PROSE Application: These slides illustrate how Optimization Re-Engineering (ORE) mining is a mere porting process of converting old simulation code into a new language platform which contains libraries of search engines. It can be learned by programmers in trial application like SQL servers to quickly develop skill as evangelist mechanics (like DBAs) in solution mathematics to be peer partners with modeling scientists and engineers who are the subject-matter specialists. This leads to super agile extreme modeling which can meet the narrow opportunity windows (NOW) to release R&D demand pull, and establish the new peer division of labor of code sharing between end-users and professional programmers.

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AC MotorAC Motor Output Spreadsheet FIND Output morphed into spreadsheet Iteration Output … Constraints Objective Function (efficiency) Unknown independent parameters R&D demand pull can be further accelerated by this integration with familiar spreadsheet tools where they are second-to-none in data display and manipulation with ad-hoc graphical charting. The synergy is more leveraged because the spreadsheets are generated, from the output of GUI modeling tools, rather than constructed laboriously by hand, which falls victim to the notorious weakness of the spreadsheet mediumits lack of evolvability with the help of version-control systems.

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Inducting differential calculus from under the hood Using cell notes for Rows Match Model Lines Name in column 1 Formula in column 2 Iteration Output in remaining columns … Design ModelDesign Model Output Objective Function (efficiency) Constraints This slide illustrates the advantage of spreadsheets as data flow display media and emerges a new pedagogical mode of experiencing calculus flow undercurrent sensed via Newtons fluxions conveying the differential sensitivity of dependent-variable dimensional-streams to the independent-parameter dimensional-streams they depend upon, sampled via cell notes. This exploits intuitive comprehension via numeric induction rather than the symbolic deduction of standard math pedagogy. It engages students epiphanic intuitive resonance (right-brain phenomenon) that is normally unavailable in math cognition based on formal algebra. I believe this is the key to engaging the excitement of children long before they have experienced the mental gymnastics necessary to comprehend calculus via the traditional formal route.

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Educational Model Base Build-out AC motor problem was new paradigm example – Optimization Re-Engineering (ORE) mining – Can transform education/research agenda ORE mining can train students as mentors – Porting old simulation code and applying solvers Learning solvers by applying them to many models No need to learn the modeled science New Extreme Modeling Collaboration Paradigm – like PROSE mentor and AC motor design engineer. – Complementary Differences – New Division of Labor Our intention is to once again engage the pied piper strange-attractor viral phenomenon that built the open-source software community, to pursue education and R&D venues rather than re-invention of operating-systems, standard-functionality languages, integrated development environments, and content-management/web- application frameworksIT staples limited by the inbred experience of the programming professions. We have enough of these tools and we are wasting vital resources to continue building more of them. The infusion of the modeling skills of science end-users in collaboration with professional software developers is a vital diversification influence that has been severely lacking in computer technology during the last 40 years of hardware reign. Balkanization into redundant software strains has become a Babel syndrome of chaos generation. It is time to change the agenda. MetaCalculus provides the means of unifying the diversity by merely shifting the labor by Dijkstras proven architecture principle of separation of concernsmodeling to scientists and engineers, programming to programmers in shared synergy coding.

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Fodder for ORE Mining - NASA FDS Shuttle CAD System for Mission Design Hundreds of FORTRAN programs Historical Model Base to Train New Engineers On Orbit Graph Generators FDS was a proto-MetaScience CAD medium of canned engineering synthesis tools, which was designed as a serious game for relatively un-educated technicians to design shuttle missions without having the ability to understand the underlying engineering. Other such serious games, like SPICE (circuit design) and Syntha (turbine power-plant design) were example proto-MetaScience media. They were all simulation systems without overall design optimization. Yet their canned engineering content is very amenable to optimization synthesis via MetaCalculus. Thus they are excellent candidates for ORE mining and TAO supercomputing, to both catalyze the MetaScience buildout and establish the new collaboration agenda between computer science and engineering departments of universities.

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Massively Multi-Player Online Games – Persistent world simulation (e.g. Atriarch )Atriarch – Mimic world problem-solving in game contexts Physics, Economics, Ecology, Political Science System Dynamics, Data Assimilation, Optimal Control Nurture world building gamer communities – Teach K-12 MetaScience in game context – Disintermediate classrooms into learning labs Learner Centered Learning Both of my sons are software engineers at the top of their professions. One of them, Christopher, with his wife Serafinaa highly competent market maker in the gaming communityproduced the Atriarch MMPOG which simulates a small alien planet. I have always lamented that MetaCalculus was not available for use in their business when it was started in the mid 1990s. Yet this could still be done to create a phoenix-like rise of an FDS-based Migration to Mars collaborative game to play out something like Kim Stanley Robinsons Mars Trilogy (Red Mars, Blue Mars, Green Mars). My sons are ideally positioned to become VARs in this kind of pursuit. We would never have made it to the moon without ET help, if kids like me, nourished by science fiction, had not dreamed about it, decades before.

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Now we introduce what I believe will be the great unifier of software technology. My former partners did not share my vision that it would be leveraged by MetaCalculus. They saw it as a maintenance tool and as an aid to IDEs, but ceased financing maintenance of the ten patent disclosures after sinking almost $200,000 in them (179 claims). So the patents were never granted. But now they are in the public domain, so the open-source community is free to build this technology into the paramount education media of the future. I am especially enthusiastic about the pedagogical power of Spiritext for teaching MetaCalculus, and as an R&D collaboration medium for tablet texting. It is especially important to dynamically document the diversified proliferation of the MetaScience buildout, as a channel to transmigrate the prolific open-source community into R&D.

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Footnote annotating a variable Footnote annotating HOLDING phrase of FIND template Spiritext Tranpublished Features Navigation mouse over PROSE and SQL started the quantum leap to semantic-intensive languages. SQL led to the next buildout of GUIs for data modeling, like MS Access. Oracle and Sybase produced SQL imbedded in C/C++ and database-resident languages like PL/SQL and Transact-SQL. It is for these semantic-intensive, and macro-extended languages (e.g. second- generation C applications like Apache2 with 10+level macros) for which Spiritext was conceived. In situ dynamic documentation is essential for rapid comprehension by multiple software asset stakeholders (programmers, software managers, and user peers) of applications written in such media.

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More Tranpublished Features But rapid comprehension of semantic-intensive applications in media, where the software bulk is under the hood, just scratches the surface of Spiritext potential. As shown here, multiple-engine choice software like MetaCalculus (unlike SQL servers) requires quick access to information about how to apply different engines, especially in this early buildout period while programmer mechanics are learning to automate their MOB combinations for exploring and mentoring end-users in TAO supercomputing.

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Spiritext Wiki Footnote Entry Now we move from developer-produced to user-produced documentationthe wikiside. This JavaScript part of our original Spiritext medium was designed and developed by my other son, Steve. As he is also a Perl expert with super regex skills, he developed a Spiritext style-optimizer using meta-regexes (regex-defining-regexes), that transforms my simple framed webpages (shown here) into much more stylish division-based websites.

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Wiki Application Specific Footnotes My simple Spiritext frame-based style uses lower-case Greek letters for footnote triggers. Steves style optimizer morphs this simple style into much richer division-based pages. It is actually a mega-regex scanner that is a stylesheet-driven Spiritext transformer that can be meta-programmed for different styles.

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Spiritext Wiki Collab-Note Entry 6/20/2007 When you consider that Spiritextas rapid comprehension natural meta-language about programming-language codecan be dynamically translated, so that it appears in different dialects to each correspondent, and can be immediately communicated via IRC, it removes all barriers to global collaboration. The top world specialists in a given mathematical or science modeling domain can be called upon to comment on a specific problem or approach by adding collab-notes. of applications written in such media.

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Tektronix - CRT Design National Steel & Shipbuilding - Tanker Design Watkins-Johnson - Travelling Wave Tube Design GTE - Telephone System Provisional Planning Hughes - Antenna Design Beam Synthesis DuPont - Advanced X-ray System Design Goodyear - Radial Tire Design Sierracin Magnedyne - AC Motor Design Bechtel Power - Steam Power Electric Network Design PROSE (MC5,6) HISTORY PROSE Also Produced DIVERSIFIED New CAD Niches Opened Everyone knows the power of CAD. It is why we have such cheap and powerful computers. They have been designed using CAD for nearly 40 years. But so far, CAD has been limited to mass-application arenas. Using quick CAD for one-of-a-kind designs is unheard of, because it usually costs more to program the CAD tool than to create the design by hand. But that wasnt the case with PROSE in the 1970s. Major companies used PROSE to build specialized CAD systems in highly diverse application areas. Meta Calculus produces such low cost CAD that it is practical even for single designs. Low cost prototyping of highly diversified ad-hoc CAD applications will become a fundamental economic driver of new prosperity, dramatically boosting new invention and lower production cost across the board, not just in mass-demand markets.

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CommoditiesCustom DEMAND DENSITY VAR To Boost Diversified Design & Manufacturing. – Do it yourself CAD New problems New technology – High evolution Rapid prototyping Quick time-to-market – Invention CAD Invention byproducts Cottage industry growth – Mfg. Process Design Engineer Entrepreneur Role Vertical Market VAR Niches Meta Calculus enables the rapid prototyping of new CAD applications in vertical-market niches. This is the critical capability needed to re-establish the U.S. manufacturing base. Meta Calculus can open thousands of new vertical market CAD niches spread through the economy, leading to new flexible CAM feeding the Star Trek replication technology of 3D printing. A new surge of diversified invention will result, as new-concept computer use becomes more cost effective and prevalent.Star Trek replication technology of 3D printing Now with the free-energy genie out of the bottle, everyone now sees the brass ring of the carousel and everyone is going to reach for it. MetaCalculus is the CAD/CAM builder and optimizer for this R&D race that will finally realize Alvin Tofflers dream of a Post Industrial manufacturing era. Writing about the logical implications of FORTRAN and BASIC in the 1960s before IBM forked software back to guild dominance, his predictions were delayed for a half century.

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S PUTNIK M OMENT II 1957 Brought Two Wake-up Calls – Sputnik and FORTRAN (USs Sputnik) FORTRAN empowered engineers – And took us to the moon MetaFor can be a Renaissance – A shift back to R&D growth – To escalate the free-energy revolution MetaCalculus, LLC Meta Science Foundation We believe that the turning point opportunity is here now. We can do what Fortran did to advance scientific computing, and usher in a computer industry renaissance. By eliminating time-sharing market infrastructure, the PC cusp buried adolescent PROSE, just when the enormous power of MetaCalculus was emerging. As an interpretive platform in an age of limited hardware performance, it was shunned by professional programmers, as they opted for native-hardware speed even if development cost soared. Now, when everybody is seeking agile relief, its native-compilation performance will regain their allegiance as it demonstrates both higher performance and higher abstraction than any other software technology. Now it is the means of bringing software businesses back from the depressed subsistence in the no-mans land of the bipolar staple-software hegemony, which was the gift of five decades of monopoly domination and the desparate kamikaze resistance of the open-source movement. We can build a new free-energy, science end-user-driven software ecosystem that rewards everybody.

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