Recent Posts

Pages: 1 2 3 [4] 5 6 ... 10

Industrial Concerns / D'Azzo and Houpis, 1960

« Last post by forbitals on January 10, 2022, 06:26:37 pm »

D'Azzo and Houpis, 1960

D'Azzo and Houpis, 1960

The reason I wanted such an old book is real simple. I wanted to see what it talks about and what it fails to talk about. I wanted to see what they feel they must explain, and what they feel they can just assume people understand.

This is one of the classic texts and I am familiar with later editions. They are interesting, but there is also a lot of stuff they do not cover.

Today, if you want to do anything with this, you want to develop computer software. You want programs to do the computations. But you also want embedded software to go into your system. And then you want test bench software to chronicle how your stuff works, and to the the necessary model parameters.

And you want newer much more sophisticated theory, going further than what this book covers.

And then I also want the old references in this book, especially the math books. So let me start with these references.

References:

Trinks, W. "Governors and the Governing of Prime Movers" 1919
Governors and the governing of prime movers / by W. Trinks, 140 illustrations.
+

Bode, H. W. "Network Analysis and Feedback Amplifier Design", 1945
Network analysis and feedback amplifier design, by Hendrik W. Bode (1945)
+

Blackburn, J. F. "Components Handbook" McGraw-Hill, 1948
Components handbook / ed by John F. Blackburn [under the supervision of the Office of Scientific Research and Development, National Defence Research Committee. (1949)
Blackburn, John Francis
+

Wylie, C. R. Jr. "Advanced Engineering Mathematics", McGraw-Hill, 1951
Wylie, Clarence Raymond, 1911- Advanced engineering mathematics (1951) first edition, 640 pages. Later editions of this too, but they have more pages.
+

Corcoran, G. F., and R. M. Kerchner, "Alternating-current Circuits", 3rd edition, John Wiley and Sons, 1951
Alternating-current circuits, by Russell M. Kerchner ... and George F. Corcoran ... (1943, and then also later editions)

Gardner, M. F. and J. L. Barnes "Transients in Linear Systems" John Wiley and Sons, 1942
Transients in linear systems studied by the Laplace transformation [by] Murray F. Gardner ... and John L. Barnes (1942)
*

Trimmer, J. D. "Response of Physical Systems" John Wiley and Sones, 1950
Trimmer, J. D., Response of physical systems., New York, Wiley [1950]
*

"Flow Meters, Their Theory and Application" American Society of Mechanical Engineers, 1937
0
but there is also this: Notes on small flow meters for air : especially orifice meters / by Edgar Buckingham, Physicist, Bureau of Standards. 1921
0

Computers, Math, Science, Technology / Re: Linear Algebra and Matrix Math

« Last post by forbitals on December 29, 2021, 01:59:03 pm »

Gilbert Strang, Linear Algebra and Its Applications

more references:
APPLIED LINEAR ALGEBRA

B. Noble, "Applied Linear Algebra" 1969

NUMERICAL LINEAR ALGEBRA

G. Forsythe and C. Moler, "Computer Solution of Linear Algebraic Systems" 1967

C. L. Lawson and R. J. Hanson, "Solving Least Squares Problems" 1974

G. W. Stewart, "Introduction to Matrix Computations", 1973

R. S. Varga, "Matrix Iterative Analysis", 1962

J. M. Wilkinson, "Rounding Errors in Algebraic Processes", 1963

J. M. Wilkinson, "The Algebraic Eigenvalue Problem", 1965

J. M. Wikinson and C. Reinsch, eds, "Handbook for Automatic Computation II, Linear Algebra", Springer, 1971

D. M. Young, "Iterative Solution of Large Linear Systems", 1971

Gilbert Strang
Linear Algebra and Its Applications
1976, 1st edition
Strang was at MIT

Before forget, let me say that Strang does talk some about Regression Analysis, Factor Analysis, and Principle Component Analysis

So he starts out explaining that primarily linear algebra is about simultaneous equations and Gaussian elimination. The second idea will be determinants and Cramer's rule.

He will show Gaussian Elimination and talk about zero pivots and when you have a singular matrix. It will get into LU factorization, which results from Gaussian Elimination. And then you use back substitution.

Tends to be n^2 operations for Gaussian Elimination.

So he talks about Matrix Multiplication.

So you will be doing Gaussian Elimination, and you will be logging the results in an Elementary Matrix, E.

So you will premultiply Ax with E, on both sides, and matrix multiplication is associative.

So you get this upper triangular matrix, and these various E matrices which log what was done to get it, cause you will want to back substitute for your solution.

Usually you will want to do row substitution in order to get bigger pivots, to avoid zero, but also to minimize round off errors. I think it is actually biggest ABS pivot.

And so a P matrix to log this is introduced, Permutation Matrix. You also premultiply both sides by this.

So you are finding the inverse of the original A matrix. ( the other way of doing this, Determinant and Adujunct Matrices, is extremely slow )

So you use the Gauss-Jordan method:

https://en.wikipedia.org/wiki/Gaussian_elimination

And then he talks about Band Matrices, which are matrices where the only non-zero elements are close to the diagonal. I guess this is a particular form of the Sparse Matrix

Good links on this:
Sparse Matrix
https://en.wikipedia.org/wiki/Sparse_matrix

Band Matrix
https://en.wikipedia.org/wiki/Band_matrix

He looks at a differential equation with a two point boundary condition. A geometrical spacer, h, is introduced. This makes the problem discrete, and how small h is determines the number of equations and the number of unknowns, and of course this results in a band matrix.

So he goes into a more formal theory of simultaneous linear equations, and gets into Vector Spaces and Subspaces, and he goes into graphic representations.

And so we are talking about the row space of A, the nullspace of A, the column space of A, and the left nullspace of A.

Talks about Orthogonality of Vectors and Subspaces.

Fundamental Theorem of Linear Algebra, Part 1 and Part 2.

So, talks about Orthogonal Projections and Least Squares, and starts off talking about Inner Products and Transposes, and the Schwarz Inequality

Projections onto Subspaces and Least Squares

Least Squares solution satisfies "normal equations".

Projection Matrices, P

Least Squares Fitting of Data

Orthogonal Bases, Orthogonal Martices, And Gram-Schmidt Orthogonalization

Hilbert Space
Fourier Series
Legendre Polynomials

Pseudoinverse and the Singular Value Decomposition

Weighted Least Squares

now there is a big change in the book as he shifts to the discussion of Determinants

pg 146:

"The determinant provides and explicit "formula," a concise and definite expression in closed form, for quantities such as A^-1"

gives test for invertibility

gives volume of parallelepiped

Jacobian Determinant
Gilbert Strang, Linear Algebra and Its Applications

more references:
APPLIED LINEAR ALGEBRA

B. Noble, "Applied Linear Algebra" 1969

NUMERICAL LINEAR ALGEBRA

G. Forsythe and C. Moler, "Computer Solution of Linear Algebraic Systems" 1967

C. L. Lawson and R. J. Hanson, "Solving Least Squares Problems" 1974

G. W. Stewart, "Introduction to Matrix Computations", 1973

R. S. Varga, "Matrix Iterative Analysis", 1962

J. M. Wilkinson, "Rounding Errors in Algebraic Processes", 1963

J. M. Wilkinson, "The Algebraic Eigenvalue Problem", 1965

J. M. Wikinson and C. Reinsch, eds, "Handbook for Automatic Computation II, Linear Algebra", Springer, 1971

D. M. Young, "Iterative Solution of Large Linear Systems", 1971

Gilbert Strang
Linear Algebra and Its Applications
1976, 1st edition
Strang was at MIT

Before forget, let me say that Strang does talk some about Regression Analysis, Factor Analysis, and Principle Component Analysis

So he starts out explaining that primarily linear algebra is about simultaneous equations and Gaussian elimination. The second idea will be determinants and Cramer's rule.

He will show Gaussian Elimination and talk about zero pivots and when you have a singular matrix. It will get into LU factorization, which results from Gaussian Elimination. And then you use back substitution.

Tends to be n^2 operations for Gaussian Elimination.

So he talks about Matrix Multiplication.

So you will be doing Gaussian Elimination, and you will be logging the results in an Elementary Matrix, E.

So you will premultiply Ax with E, on both sides, and matrix multiplication is associative.

So you get this upper triangular matrix, and these various E matrices which log what was done to get it, cause you will want to back substitute for your solution.

Usually you will want to do row substitution in order to get bigger pivots, to avoid zero, but also to minimize round off errors. I think it is actually biggest ABS pivot.

And so a P matrix to log this is introduced, Permutation Matrix. You also premultiply both sides by this.

So you are finding the inverse of the original A matrix. ( the other way of doing this, Determinant and Adujunct Matrices, is extremely slow )

So you use the Gauss-Jordan method:

https://en.wikipedia.org/wiki/Gaussian_elimination

And then he talks about Band Matrices, which are matrices where the only non-zero elements are close to the diagonal. I guess this is a particular form of the Sparse Matrix

Good links on this:
Sparse Matrix
https://en.wikipedia.org/wiki/Sparse_matrix

Band Matrix
https://en.wikipedia.org/wiki/Band_matrix

He looks at a differential equation with a two point boundary condition. A geometrical spacer, h, is introduced. This makes the problem discrete, and how small h is determines the number of equations and the number of unknowns, and of course this results in a band matrix.

So he goes into a more formal theory of simultaneous linear equations, and gets into Vector Spaces and Subspaces, and he goes into graphic representations.

And so we are talking about the row space of A, the nullspace of A, the column space of A, and the left nullspace of A.

Talks about Orthogonality of Vectors and Subspaces.

Fundamental Theorem of Linear Algebra, Part 1 and Part 2.

So, talks about Orthogonal Projections and Least Squares, and starts off talking about Inner Products and Transposes, and the Schwarz Inequality

Projections onto Subspaces and Least Squares

Least Squares solution satisfies "normal equations".

Projection Matrices, P

Least Squares Fitting of Data

Orthogonal Bases, Orthogonal Martices, And Gram-Schmidt Orthogonalization

Hilbert Space
Fourier Series
Legendre Polynomials

Pseudoinverse and the Singular Value Decomposition

Weighted Least Squares

now there is a big change in the book as he shifts to the discussion of Determinants

pg 146:

"The determinant provides and explicit "formula," a concise and definite expression in closed form, for quantities such as A^-1"

gives test for invertibility

gives volume of parallelepiped

Jacobian Determinant

https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

finding determinants needs n! computations!!!

Cramer's Rule

Expansion in cofactors, and finding inverse from adjugate matrix

Then book makes big shift to Eigenvalues and Eigenvectors
https://en.wikipedia.org/wiki/Jacobian_matrix_and_determinant

finding determinants needs n! computations!!!

Cramer's Rule

Expansion in cofactors, and finding inverse from adjugate matrix

Then book makes big shift to Eigenvalues and Eigenvectors

Computers, Math, Science, Technology / Linear Algebra and Matrix Math

« Last post by forbitals on December 27, 2021, 06:21:04 pm »

Linear algebra and its applications / Gilbert Strang (1976 first edition)

I hope to write a lot about this, but for now I want to start recording the references. These references are of great interest to me. I like the old text books. And the math books are always good, no matter how old.

ABSTRACT LINEAR ALGEBRA

F. R. Gantmacher, "Theory of Matrices" Chelsea, New York, 1959

The theory of matrices / by F.R. Gantmacher ; [translation by K.A. Hirsch] ( 2 volumes)

P. R. Halmos, "Finite-Dimensional Vector Spaces" Van Norstrand_Reinhold, Princeton, 1958

Finite-dimensional vector spaces, Paul Richard Halmos
*

K. Hoffman and R. Kunze, "Linear Algebra" 1971
Linear algebra, by Kenneth Hoffman and Ray Kunze.

T. Muir, "Determinants" Dover, 1960, 4 volumes, originally 1923

https://www.amazon.com/Treatise-Theory-Determinants-Thomas-Muir/dp/1245077570

The theory of determinants in the historical order of development / by Sir Thomas Muir (yes, 4 volumes, from 1923)

Computers, Math, Science, Technology / The Romance of Engines, and Modern Thermodynamics

« Last post by forbitals on December 23, 2021, 04:51:21 pm »

The Romance of Engines
Suzuki, Takashi, 1928-

The romance of engines / by Takashi Suzuki. 1977
*-

Modern thermodynamics : from heat engines to dissipative structures / Dilip Kondepudi, Ilya Prigogine (1998)
*-

Industrial Concerns / Alpha Technologies

« Last post by forbitals on December 18, 2021, 06:04:22 pm »

Philosophy, Religion, Esoteric, Occult / Magia Sexualis by Hugh B. Urban

« Last post by forbitals on December 02, 2021, 04:45:05 pm »

Jean Bardrillard, America

Judith Butler, Gender Trouble: Feminism and the Subersion of Identity (1990)

Ioan P. Coulianu, Eros and Magic in the Renaissance, (1987)

Erik Davis, Techgnosis: Myth, Magic, and Mysticism in the Age of
Information (1998)

Nik Douglas, Spiritual Sex: Secrets of Tantra from the Ice Age to the
New Millennium (1997)

Julius Evola and the UR Group, Introduction to Magic: Rituals and
Magical Techniques for the Magus. Inner Traditions (2001)

Antoine Faivre

Frater U.D.

Wouter Hanegraaff

Stephen Harr, Simon Magus: The First Gnostic (2003)

Christopher S. Hyatt, Rebels and Devils: The Psychology of Liberation (2000)

News, Politics, and General / Re: Raising Cain

« Last post by forbitals on November 19, 2021, 03:54:47 pm »

Raising Cain
Protecting the Emotional Life of Boys
by Dan Kindlon and Michael Thompson
(1999) read up through page 20

Philosophy, Religion, Esoteric, Occult / Jeffrey Kripal, Wicca, James Webb, Gurdjieff

« Last post by forbitals on November 02, 2021, 05:10:33 pm »

Jeffrey John Kripal, read some of his work before.

Jeffrey John Kripal
https://www.amazon.com/Jeffrey-John-Kripal/e/B001IODIT2%3Fref=dbs_a_mng_rwt_scns_share

The Serpent's Gift: Gnostic Reflections on the Study of Religion
https://www.amazon.com/gp/product/B002KW4JP8/ref=dbs_a_def_rwt_hsch_vapi_tkin_p1_i5

The serpent's gift : gnostic reflections on the study of religion / Jeffrey J. Kripal. (2007)

Hidden intercourse : eros and sexuality in the history of Western esotericism / edited by Wouter J. Hanegraaff and Jeffrey J. Kripal. (2011)

Encountering Kali : in the margins, at the center, in the West / edited by Rachel Fell McDermott and Jeffrey J. Kripal. (2003)

Roads of excess, palaces of wisdom : eroticism & reflexivity in the study of mysticism / Jeffrey J. Kripal. (2001)

Secret body : erotic and esoteric currents in the history of religions / Jeffrey J. Kripal. (2017)

https://en.wikipedia.org/wiki/Jeffrey_J._Kripal

http://www.realitysandwich.com/blog/jeffrey_j_kripal

Cults and new religions : a brief history / Douglas E. Cowan, Renison College, University of Waterloo and David G. Bromley, Virginia Commonwealth University. (2015)

Modern Wicca : a history from Gerald Gardner to the present / Michael Howard. (2009)

Witchcraft today / by Gerald B. Gardner ; introduction by Margaret Murray ; with additional material by Judy Harrow ... [et al.] (2004 50th anniversary edition)

Witchcraft today, 60 years on / edited by Trevor Greenfield (2014)

James Webb
https://www.amazon.com/Harmonious-Circle-Gurdjieff-Ouspensky-Followers/dp/0877734275

The occult establishment / James Webb. (1976)

The occult underground / James Webb (1988)

The harmonious circle : the lives and work of G. I. Gurdjieff, P. D. Ouspensky, and their followers / by James Webb (1980)

Gurdjieff/de Hartmann Piano Music played by John Allen Watts
https://soundcloud.com/johnallenwatts/sets/gurdjieff-de-hartmann-piano

https://www.gurdjieff.org/triangle.htm

https://soundcloud.com/johnallenwatts/kurd-melody-from-isfahan-apr-23-2021?in=johnallenwatts/sets/gurdjieff-de-hartmann-piano

https://www.hungama.com/song/holy-affirming-holy-denying-holy-reconciling/27834306/

Leila Waddell
https://en.wikipedia.org/wiki/Leila_Waddell

http://www.thelemapedia.org/index.php/Leila_Waddell

Leila Waddell - Thelema: A Tone Testament
https://soundcloud.com/phil-legard/leila-waddell-thelema-a-tone

Gnosticism, Transformation, and the Role of the Feminine in the Gnostic Mass of the Ecclesia Gnostica Catholica (E.G.C.) Ellen P. Randolph (243p pfd)
https://core.ac.uk/download/pdf/46950654.pdf

Philosophy, Religion, Esoteric, Occult / Tarot Decks and Playing Card Decks?

« Last post by forbitals on October 30, 2021, 04:01:43 pm »

What is the relationship between the two?

One of the issues is which came first, tarot cards or playing cards. They clearly are related. Remember the first time you ever saw playing cards, there is clearly some history and tradition to them. And then they usually give you two jokers, and these seem like the tarot fool.

18th and 19th century occultists took the view that tarot cards came first, and then the tarot deck was cut down to make playing cards. And along with this was the idea that it was all coming from ancient Egypt.

So I guess this Antoine Court de Gébelin, 18th century, decided to associate the 22 trumps with the 22 letters of the Hebrew alphabet. And then either he or Eliphas Levi decided that these 22 trumps should be put on the pathways of the Kabbalistic Tree of Life.

And they were saying that the Tarot was the Book of Thoth.

And then with the minor arcana, they were interpreting the 4 suits as representing the 4 worlds on the tree of life. And then the ten numbered cards corresponded to the 10 sephiroth.

One of the most enigmatic differences between playing cards and tarot cards is that while playing cards have 3 court cards per suit, tarot cards have 4. Why? Is this also related to the 4 worlds on the tree of life?

They say Kabbalah comes from the Book of Ezekiel. There everything revolves around the number 4. That is everything except for the very end mention of the number of fish species.

But Kabbalah seems to primarily require the number 10, so it must be coming from Exodus, and really the entire Bible revolves around Exodus.

One of the most adamant defenders of the idea that playing cards were made by cutting down tarot decks, was Paul Foster Case.

Decades ago I talked at a little shop to one professional fortune teller. She used playing cards, and she charged extra if you wanted her to use tarot cards.

Today many are challenging this idea that it all came from ancient Egypt, and that playing cards were derived by cutting down a tarot deck.

The Chaos Protocols: Magical Techniques for Navigating the New Economic Reality
by Gordon White

https://www.amazon.com/Chaos-Protocols-Techniques-Navigating-Economic/dp/0738744719

The very idea of having a deck of cards, as opposed to a book of pictures, is that you can handle the cards face down without revealing their identity. So the cards have to be made by a printer, so that the back sides will be identical.

White hunted down the oldest printing companies in Europe and they insist that playing cards came first, and they came from the Near East.

And these cards were used for divination and fortune telling. The fact that they are also sometimes used to gamble for money, makes them all the more compelling when used for divination and fortune telling.

So it was later that playing card decks were expanded to make tarot decks.

I look in the Spanish language newspaper and they have picture ads for these fortune tellers. They use tarot cards, and they use them for real basic gut level stuff, like sickness and health, love, and money.

So why did they add the forth court card, and were they really thinking that all of this would be interpreted through the kabbalistic tree of life diagram?

The Ace of Spades is commonly known as the Death Card. I don't think this comes from interpreting the minor arcana on the Kabalistic Tree of Life.

Well, we don't really know where any of this comes from really, kabbalah either. We don't know how any of it relates to Hermeticism, or to Kabbalah, or how any of these relate to ancient Egypt.

I have never seen anything in print to support this, but I feel that the tarot major trumps could have come from the Egyption Book of the Dead. I was moved by a particularly inspired translation of the Papyrus of Ani, made by Normandi Ellis. She calls one section "21 Women".

There the petitioner must move through the Great Hall of Osiris. And this is rather like the Tibetan Bardo. He must get past 21 pylons, and each is guarded by a fearsome female. I feel that these, along with the petitioner, could be the source for the 22 major arcana.

https://www.amazon.com/Awakening-Osiris-Egyptian-Book-English/dp/0933999747

But who really knows.

News, Politics, and General / Raising Cain

« Last post by forbitals on October 28, 2021, 02:15:32 pm »

Raising Cain: Protecting the Emotional Life of Boys

by Dan Kindlon, Michael Thompson

https://www.amazon.com/Raising-Cain-Protecting-Emotional-Life/dp/0345434854

Reviving Ophelia 25th Anniversary Edition: Saving the Selves of Adolescent Girls

by Mary Pipher PhD, Sara Gilliam

https://www.amazon.com/Reviving-Ophelia-25th-Anniversary-Adolescent/dp/052553704X/ref=sr_1_1?crid=29UBJNCQ7TLBU&dchild=1&keywords=reviving+ophelia+saving+the+selves+of+adolescent+girls&qid=1635448249&qsid=130-1787422-5443500&s=books&sprefix=reviving+%2Cstripbooks%2C120&sr=1-1&sres=052553704X%2CB002LLHUEU%2CB002CIY8YC%2C0553393073%2CB001VCHWKW%2CB004TGS9A4%2CB0030EY8DI&srpt=ABIS_BOOK

Chris Guillebeau

The Art of Non-Conformity: Set Your Own Rules, Live the Life You Want, and Change the World

https://www.amazon.com/Art-Non-Conformity-Rules-Change-Perigee/dp/0399536108/ref=sr_1_1?crid=13EWT4GP4CTUA&dchild=1&keywords=Chris+Guillebeau%2C+the+art+of+non-conformity&qid=1635448410&qsid=130-1787422-5443500&s=books&sprefix=chris+guillebeau%2C+the+art+of+non-conformity%2Cstripbooks%2C120&sr=1-1&sres=0399536108%2CB004O52HM6%2CB00CB5HVZE%2CB004T2F7QC%2CB08N3GGTKX%2C0307951529%2CB011G3HC2S%2CB08YQQVPKC%2C1646153529&srpt=ABIS_BOOK