Egwald Web Services

I have added a MATLAB version of some of the programs on the Egwald website:

1. Optimal Control: The Rocket Car: http://www.egwald.ca/optimalcontrol/rocketcar.php

2. Nonlinear Dynamics: Limit Cycles: Kaldor Business Cycle Model: http://www.egwald.ca/nonlineardynamics/limitcycles.php

3. Astronomy: Stellar Collapse: http://www.egwald.ca/astronomy/stellarcollapse.php

I will add some more MATLAB programs in the future.

Egwald Mathematics - Optimal Control - Rocket Car Rocket Car: Example of Optimal Control Theory, extremal controls, fun with mathematics; the bang-bang principle

Popular webpages on www.egwald.ca
1. Duality of Production and Cost Functions using the Implicit Function Theorem: http://www.egwald.ca/economics/dualityproductioncost.php
2. Production Functions: http://www.egwald.ca/economics/productionfunctions.php
3. The Translog Production Function: http://www.egwald.ca/economics/translogproduction.php
4. The basic Keynesian IS-LM Model: http://www.egwald.ca/macroeconomics/compstatsbasicislm.php
5. The Classical and Keynesian AD-AS Model: http://www.egwald.ca/macroeconomics/keynesian.php
6. Game Theory - Introduction: http://www.egwald.ca/operationsresearch/gameintroduction.php
7. The Primal and Dual Linear Programming Problems: http://www.egwald.ca/operationsresearch/lpgraphical.php

Egwald Web Services: Domain Names and Web Site Design Online magazine featuring theory and criticism of English literature, articles, short stories, poetry, letters, and reviews.

New section on Astronomy: http://www.egwald.ca/astronomy/index.php
1. Curvature of Space: http://www.egwald.ca/astronomy/spacecurvature.php
2. Globular Clusters: http://www.egwald.ca/astronomy/globularcluster.php
3. Gravitational Lensing: http://www.egwald.ca/astronomy/gravitational_lensing.php
More to come later.

Egwald Astronomy with Applications Astronomy topics, Globular Clusters, Space Curvature

http://www.egwald.ca/wiens/governmententerprises.php GOVERNMENT ENTERPRISE:
THE NEXUS OF SOCIALISM AND CAPITALISM
by Elmer G. Elmer Wiens

I wrote this back in 1999. Interesting how the economies / politics of China, Russia and Canada have changed since then. State Owned Enterprises are ubiquitous https://en.wikipedia.org/wiki/State-owned_enterprise Can they be managed through managerial incentives and achieve the same efficiency as privately / stock owned firms: The Public Firm with Managerial Incentives by Elmer G. Wiens http://www.egwald.ca/economics/econpage.php3

Government Enterprise and Democracy Economic model of an oligopolistic industry with a government firm, government enterprise: the nexus of socialism and capitalism, bonus systems for managers of a public firm

Cool features on egwald.ca
1. The Kaldor business cycle model: http://www.egwald.ca/nonlineardynamics/limitcycles.php
2. The logistic map and chaos: http://www.egwald.ca/nonlineardynamics/logisticsmapchaos.php
3. Play a two-person, zero sum game online: http://www.egwald.ca/operationsresearch/twoperson.php or construct your own game: http://www.egwald.ca/operationsresearch/owngame.php
4. Solve linear programming problems: http://www.egwald.ca/operationsresearch/lpprimalsimplexgenerator.php
5. Model an economy with Keynes IS-LM model: http://www.egwald.ca/operationsresearch/lpprimalsimplexgenerator.php
6. Model an oligopolistic industry: http://www.egwald.ca/economics/econpage.php3
7. Introduction to production functions in economics: http://www.egwald.ca/economics/productionfunctions.php

And much, much more

Egwald Mathematics — Nonlinear Dynamics: Limit Cycles in Two Dimensional Flows

The programs on the www.egwald.ca website have been upgraded to conform to the standards of PHP version 5.3, from PHP 4. Sorry for the interruption over the last two weeks.

Egwald Web Services: Domain Names and Web Site Design Online magazine featuring theory and criticism of English literature, articles, short stories, poetry, letters, and reviews.

Elmer Wiens: Listen to my show "Geraldo's Hour" on CiTR 101.9fm or on the web at http://www.citr.ca/citrPlayer/player.php Monday, October 14 from 3:00 to 4:00pm featuring the Federal Lights, The Albertans, Dinosaur Bones, Fur Trade, Royal Canoe, The Heavy Blinkers, etc.

CiTR 101.9FM - Web Player

A Mug's Guide to Politics in B.C. and the May 14, 2013 Provincial Election by Elmer G. Wiens at: http://www.egwald.ca/ubcstudent/blogs/index.php
Here in B.C. Canada we will have a provincial election in May. Check out my blogs where I use the political theories Niccolò Machiavelli and Milton Friedman to shed some light on the usually chaotic political scene.

UBC Student - Blogs by Elmer Wiens Niccolò Machiavelli | Milton Friedman and the Fraser InstituteB.C. Politics as a Zero-Sum Game | B.C. Politics as War!The Political Party Paradox of Constituency Associations

The web page: http://www.egwald.ca/economics/transloggencesduality.php extends the Translog production / cost duality of the homothetic CES technology to that of the non-homothetic Generalized CES technology with the use of the implicit function theorem.

Egwald Economics - Duality of the Translog Production and Cost Functions The Duality of the Translog Production and Cost Functions Using the Implicit Function Theorem

The web page, http://www.egwald.ca/economics/translogduality.php, “Duality and the Translog Production / Cost Functions,” demonstrates how the implicit function theorem facilitates the calculation of the dual production function from the cost function, and vice versa. It compares these dual functions with their estimated versions and the underlying CES functions to determine if information was lost.

Egwald Economics - Duality of the Translog Production and Cost Functions The Duality of the Translog Production and Cost Functions Using the Implicit Function Theorem

The concept of duality appears in many economic models that involve maximizing or minimizing a function or functions. For example, producing a given level of output at minimum cost has its dual in producing a maximum level of output at a fixed level of costs.
Duality in this context can be found on the "Duality of Production and Cost Functions" web page: http://www.egwald.ca/economics/dualityproductioncost.php

Egwald Economics - The Duality of Production and Cost Functions The Duality of Production and Cost Functions Using the Implicit Function Theorem

The Normalized Quadratic Cost Function:
The normalized quadratic cost function and its extensions are increasingly the "flexible/semiflexible" functions of choice in econometric work.
I posted a webpage at:
http://www.egwald.ca/economics/normalizedquadraticcost.php
that describes a method to estimate a normalized quadratic cost function.

http://www.egwald.ca/economics/normalizedquadraticcost.php