# Eikonal Blog

## 2012.11.26

### Generating functions

Recently I have been rereading the Herbert S. Wilf’s free online book Generatingfunctionologyhttp://www.math.upenn.edu/~wilf/DownldGF.html. It is choke-full of interesting results.

## Definitions

For a number series ${\bf a} :\equiv \{a_n|n\in\{0,\infty\}\}$ one defines following generating functions (GFs):

• Ordinary Power Series GF (OPSGF): $OPSGF[a](x) :\equiv \sum_{n=0}^\infty a_n x^n \leftrightarrow_{opsgf} {\bf a}$;
• Exponential Series GF (EGF): $EGF[a](x) :\equiv \sum_{n=0}^\infty a_n \frac{x^n}{n!} \leftrightarrow_{egf} {\bf a}$;
• Dirichlet GF (DGF): $DGF(x;s) :\equiv \sum_n \frac{a_n}{n^s} x^n \leftrightarrow_{dgf} {\bf a}$;
• Lambert GF (LGF): $LGF(x) :\equiv \sum_n \frac{a_n}{1-x^n} x^n \leftrightarrow_{lgf} {\bf a}$;
• Bell GF (BGF): $BGF(x;s) :\equiv \sum_n a_{p^n} x^n \leftrightarrow_{bgf} {\bf a}$;
• Poisson GF (PGF): $PGF(x;s) :\equiv \sum_n \frac{a_n}{n!} x^n e^{-x} = e^{-x} EGF(x) \leftrightarrow_{pgf} {\bf a}$;

## Simple results

• $\{a_n=n\} \leftrightarrow_{opsgf} f(x) = \frac{x}{(1-x)^2}$.
• $\{a_n=n^2\} \leftrightarrow_{opsgf} f(x) = \frac{x(x+1)}{(1-x)^3}$.
• $\{a_n=b^n\} \leftrightarrow_{opsgf} f(x) = \frac{1}{1-b x}$.
• $\{a_n=n\} \leftrightarrow_{egf} f(x) = x e^{x}$.
• $\{a_n=n^2\} \leftrightarrow_{egf} f(x) = x(x+1)e^{x}$.
• $\{a_n=b^n\} \leftrightarrow_{egf} f(x) = e^{b x}$.
• For Fibonacci numbers $\{F_n|F_{n+1} = F_n + F_{n-1} | f_0 = F_1 = 1\}$ one has: $OPSGF(x) = \frac{x}{1-x-x^2}$, leading to $F_n = \frac{r_+^n-(r_-^n}{\sqrt{5}}$ ($r_\pm = \frac{1\pm\sqrt{5}}{2}$).
• $\{a_n|a_{n+1}=2 a_n + 1| a_0=0\} \leftrightarrow_{opsgf} OPSGF = \frac{x}{(1-x)(1-2x)} = \frac{1}{1-2x} - \frac{1}{1-x}$; which leads to $a_n=2^n - 1$.
• For $a_{n+1} = 2 a_n + n$, $alatex _0=1$ one has: $OPSGF = \frac{2}{1-2x} - \frac1{(1-x)^2}$ leading to
$a_n = 2^{n-1} - n - 1$.

Define $[x^n]f(x)$ as the coefficient next to $x^n$ in power series $f(x)$. Examples and properties:

• $[x^n] e^x = \frac1{n!}$,
• $[x^n] \frac1{1-ax} = a^n$,
• $[x^n] (1+x)^s = \binom{s}{n}$,
• $[x^n] \{x^m f(x)\} = [x^{n-m}] f(x)$,
• $[\lambda x^n] f(x) = \frac1{\lambda} [x^n]f(x)$,
• $\left[\frac{x^n}{n!}\right] e^x = 1$.

For binomial coeficients:

• $\sum_{k=0}^{\infty} \binom{n}{k} x^k = (1+x)^n$,
• $\sum_{n=0}^{\infty} \binom{n}{k} y^n = \frac{y^k}{(1-y)^{k+1}}$,
• $\binom{n}{k} = [x^k y^n] \frac1{1 - y (1+x)}$.

Some orthogonal polynomials:

• Tchebitshev polynomials generating function: $\sum_{n=0}^\infty \frac{z^n}{n!} T_n(x) = e^{zx}\cos(z\sqrt{1-x^2})$.
• Legendre polynomials generating function: $\frac1{(1-2tz+z^2)^{\frac12}} = \sum_{n=0}^\infty P_n(t)z^n$.
• Generating function for associated Legendre polynomials: $(1-2tc+t^2)^{\alpha} = |1-t e^{i\theta}|^{2\alpha} = \sum_{n=0}^\infty t^n P_n^{\alpha}(c)$.

## Dirichlet series generating functions

• For $a_n=1$: $DGF = \zeta(s)$.
• For $a_n=\mu(n)$ (the Moebius function): $DGF = \frac1{\zeta(s)}$.
• For $a_n=d(n)=\sigma_0(n)$ (the zeroth-order divisor function): $DGF = \zeta(s)^2$.
• For $a_n=\sigma_k(n)$ (the $k$th-order divisor function): $DGF = \zeta(s)\zeta(s-k)$.
• For $a_n=\phi(n)$ (the totient function): $DGF = \frac{\zeta(s-1)}{\zeta(s)}$.
• For $a_n=H(n)$ (the number of ordered factorizations): $DGF = \frac{1}{2 - \zeta(s)}$.
• For $a_n=\frac12 [1-(-1)^n]$: $DGF = \lambda(s)$ (the Dirichlet lambda function).

Moebius inversion formula:

• If two DGF series $A(s)$ and $B(s)$ have coefficient relation $a_n = \sum_{d|n} b_d$, then $A(s) = B(s) \zeta(s)$, and $b_n = \sum_{d|n} \mu\left(\frac{n}{d}\right) a_d$.
• If $a_n = \sum_{d|n} b_d$, then $b_n = \sum_{d|n} \mu\left(\frac{n}{d}\right) a_d$.

### SciFi

Filed under: books, fun, scifi — Tags: , , — sandokan65 @ 13:49

## Herbert George Wells

• The Invisible Man
• The New Machiavelli
• The Time Machine
• The War of the Worlds
• The World Set Free
• Time Machine

## 2012.01.27

### Literary Arts

Filed under: art and fun, books, literature — Tags: , , — sandokan65 @ 10:24

## Articles

• Amazon’s Kindle
• barnes and Noble’s Nook

## 2011.04.25

### Electronic Music

Filed under: music — Tags: , , , — sandokan65 @ 11:33

Related at this blog: Music scores, tabs, … – https://eikonal.wordpress.com/2011/02/23/music-scores-tabs/ | Gypsy music – https://eikonal.wordpress.com/2011/01/05/gypsy-music/ | Psychodelic rock from 1970s – https://eikonal.wordpress.com/2010/07/12/psychodelic-rock-from-1970s/ | Streaming and other free music online – https://eikonal.wordpress.com/2010/01/04/streaming-and-other-free-music-online/

Andrew Brooks:

More:

## Magic Realism

Robert Vickrey

Kris Kuksi

• http://kuksi.com/
• Kris Kuksi: Divination and Delusion – http://thisartisyours.com/archive/2011/10/18/kris-kuksi-divination-and-delusion.html
• “A post-industrial Rococo master, Kris Kuksi obsessively arranges characters and architecture in asymmetric compositions with an exquisite sense of drama. Instead of stones and shells he uses screaming plastic soldiers, miniature engine blocks, towering spires and assorted debris to form his landscapes. The political, spiritual and material conflict within these shrines is enacted under the calm gaze of remote deities and august statuary. Kuksi manages to evoke, at once, a sanctum and a mausoleum for our suffocated spirit.”

More of the kind here: Community and environmental art – https://eikonal.wordpress.com/2010/03/16/community-and-environmental-art/

## 2011.02.23

### Music scores, tabs, …

Filed under: music — Tags: — sandokan65 @ 15:57

Related at this blog: Electronic Music – https://eikonal.wordpress.com/2011/04/25/electronic-music/ | Gypsy music – https://eikonal.wordpress.com/2011/01/05/gypsy-music/ | Psychodelic rock from 1970s – https://eikonal.wordpress.com/2010/07/12/psychodelic-rock-from-1970s/ | Streaming and other free music online – https://eikonal.wordpress.com/2010/01/04/streaming-and-other-free-music-online/

## 2011.01.16

### Prairie Home Companion

Filed under: fun, music — Tags: — sandokan65 @ 20:42

## 2011.01.10

### Books online

Filed under: books — Tags: , — sandokan65 @ 16:06

## 2011.01.05

### Gypsy music

Filed under: music — Tags: , — sandokan65 @ 20:21

## Groups

### Kalyi Jag (Black Heart)

Related at this blog: Electronic Music – https://eikonal.wordpress.com/2011/04/25/electronic-music/ | Music scores, tabs, … – https://eikonal.wordpress.com/2011/02/23/music-scores-tabs/ | Psychodelic rock from 1970s – https://eikonal.wordpress.com/2010/07/12/psychodelic-rock-from-1970s/ | Streaming and other free music online – https://eikonal.wordpress.com/2010/01/04/streaming-and-other-free-music-online/

## 2011.01.04

### SciFi

Filed under: books, scifi — Tags: , , , — sandokan65 @ 14:59

## Authors

### Frank Patrick Herbert

• ConSentient:
• 1. Whipping Star
• Dune:
• 1. Children of Dune
• 1. Chapterhouse: Dune.
• 2. Dune. Genre fantasy.
• 3. Dune Messiah.
• 4. God Emperor of Dune.
• 5. Heretics of Dune.
• 6. Herbert Frank и McNelly Willis. The Dune Encyclopedia
• WorShip:
• 1. Destination: Void
• Herbert Frank и Ransom Bill. The Jesus Incident
• Herbert Frank и Ransom Bill. The Lazarus Effect
• Herbert Frank и Ransom Bill. The Ascension Factor

### Herbert George Wells

• The Invisible Man
• The New Machiavelli
• The Time Machine
• The War of the Worlds
• The World Set Free
• Time Machine

## 2010.12.27

### Codex Gigas (aka “Devil’s bible”)

Filed under: books, history, past — Tags: , , , — sandokan65 @ 13:16

## 2010.12.11

### Ashes and Snow

Filed under: art and fun, music — Tags: , — sandokan65 @ 00:12

## Fragments of lyrics

Fragment 1:

...
Ever since my house burned down
I see the moon more clearly
I gazed upon all the Eden's that have fallen in me
I saw Eden's that I had held in my hands
but let go
I saw promises that I did not keep
Pains I did not soothe
Wounds I did not heal
Tears I did not shed
I saw deaths I did not morn
Doors I did not open
Doors I did not close
Lovers I left behind
And dreams I did not live
I saw all that was offered to me
That I could not accept
I saw the letters that I wished for
I saw all that could have been
But never will be
...


Fragment 2 (sources: http://sorindanut.wordpress.com/2009/03/29/ashes-to-snow/ | http://www.bagskiss.com/?p=2278):

If you come to me at this moment
To the Princess of the Elephants
I disappeared exactly one year ago
On that day, I received a letter
It called me back to the place
where my life with the Elephants began
Please forgive me for the silence between us
has been unbroken for one year
This letter breaks that silence
It marks the first of my
three hundred and sixty five letters to you
One for each day of silence
I will never be more myself,
than in these letters
They are my maps of the bird path
And they are all that I know
To be true
You will remember everything
All will be as before
In the begining of time,
the skies were filled with flying elephants
Every night they lay down
in the same place in the sky
And dreamt with one eye open
When you gaze up at the stars at night
You are looking into the unblinking eyes
of elephants, who sleep with one eye open
To best keep watch over us
Ever since my house burnt down
I see the moon more clearly
I gazed upon all the Edens that have fallen in me
I saw Edens that I had held in my hands,
but let go
I saw promises I did not keep
Pains I did not sooth
Wounds I did not heal
Tears I did not shed
I saw deaths I did not mourn
Doors I did not open
Doors I did not close
Lovers I left behind
And dreams I did not live
I saw all that was offered to me,
that I could not accept
I saw the letters I wished for,
I saw all that could have been,
but never will be
An elephant with his trunk raised
is a letter to the stars
A breaching whale is a letter
from the bottom of the sea
These images are a letter to my dreams
These letters are my letters to you
My heart is like an old house,
who'' s windows have not been opened for years
But now I hear the windows opening
I remember the cranes floating above
the melting snows of the Himalayas
Sleeping on tails of manatees
The songs of the bearded seals
The bark of the zeebra
The clicks of the sand
The ears of the caracals
The sway of the elephants
The breaching of whales
And the silhouette of the eland
I remember the curl of the meerkat''s toes
Floating on the Ganges
Sailing on the Nile
Bscending the steps of ......

I remember wandering through the corridors
of Hatshepsut and the faces of many women
Endless seas and thousands of miles of rivers

... I remember father to children ...

... And the taste ... I remember ...

... and the pealing of the peach ...

I remember everything
But I do not remember ever having left
remember

The longer I watch the Savanna elephants,
the more I listen , the more that i open,
they remind me of who I am
May the guardian elephants hear my wish
to collaborate with all the musicians of nature''s orchestra
I want to see through the eyes of the elephant
I want to join the dance that has no steps
I want to become the dance
I can''t tell if you are getting closer or farther away
I long for the serenity I found
when I looked upon your face
Perhaps if your face could be returned to me now,
I would find it easier to recover
the face I seemed to have lost
My own

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

Feather to fire
fire to blood
blood to bone
bone to marrow
marrow to ashes
ashes to snow

The whales do not sing because they have an answer.
They sing because they have a song.

What matters, is not
what is written on the page,
what matters, is
what is written in the heart.

So burn the letters
And lay their ashes on the snow
Bt the river''s edge
When spring comes and the snow melts
And the river rizes
Let the words and the images
wash over your body like waves
Listen to the songs of Eden
Page, after page, after page
Fly the bird path
Fly ...
Fly ...
Fly ...


Fragment 3 – in chinese language (sources: http://www.bagskiss.com/?p=2278):

If you come to me at this moment
a few minutes you will become a few hours
and your days will be will become a lifelong
to as the Princess
I disappeared exactly one year ago
In those days, I received a letter
call me back to where it
if my life and the elephant started
Please forgive my silence between us
have to insist on a year-long
this letter to break the silence
It was my first mark

365 letters to you
one for each day of silence
I will not for themselves,
over In these letters
They are my bird route map
and they are all
I know is true
you will remember everything all the
as usual at the beginning of time,
sky filled with flying elephants
They lay down every night
the same place in the sky in
and with an eye to dream
When you look at the stars of the night
are looking for elephants, who sleep with one eye to dream
to keep watch over our best

Since my house burned
I can more clearly see the moon
I watched already I fall in the Garden of Eden all
I see my in my Garden of Eden in his hand,
but let go I see the commitment I did not keep the pain I
true pain, I did not soothe
I do not have tears streaming
I saw death, I did not express condolences
I did not pray the prayer
door, I did not open the door
I did not close
I love to stay and dream
I did not live
available to me I see all,
I can not accept
I read the letter I would like,
I see all the original,
but never
an elephant's nose with his dry rose
is a letter to the Star
a violation letter whale
from the seabed of these images is my dream
a letter that I gave the letters Your letter
My heart is like an old house pillars,
whose windows have not been open for several years
But now I heard the windows were open
I remember the crane above the floating
melting Himalayan snow
manatee's tail in sleep
songs

bearded seals bark, sand zebra
click wildcat ears
large Like the rock
whales against
and oryx, black half-length silhouette
I remember curling the toes Meerkat
floating in the Ganges on the
sailing on the Nile
up the steps ......

I remember wandering through the corridors
Hatshepsut and many women face
endless ocean and thousands of years of river

... I remember my father children ...

... and taste ... I remember ...

... and pretty ring girls, loud Woo ...

I remember all
but when I do not remember ever leaving

I remember a long time that I see savannah elephant,
I hear more, I open more,
They remind me of who I am
would like to hear me as the protection of the aspirations of
and nature of all orchestra musicians
I hope that through the eyes of elephants all
I do not want to participate in the pace of [the dance
I want to be a dancer
I can not say clearly whether you are getting closer or farther
I look I found a quiet
maybe your face if you can go back to my now,
I would feel easier to recover
I seem to have lost face
I have changed the fire plume,
fire change of blood,
blood become bone,
bone marrow changes,
marrow become dust,
variable snow dust plume changes
fire,
fire change of blood,
blood become bone,
bone marrow changes,
marrow change dust,
variable snow dust plume changes
fire,
fire change Blood,
bone blood changes,
bone marrow changes,
marrow change dust,
dust become snow
birds become fire,
fire change of blood,
blood become bone,
bone marrow changes,
marrow become dust,
variable snow dust plume changes
fire,
fire change of blood,
Blood changes bones,
bone marrow changes,
marrow become dust,
variable snow dust plume
change the fire,
fire change of blood,
blood become bone,
bone marrow changes,
marrow variable dust ,
dust variable snow

whales do not sing,
They sing because they have a song.

anything, is not
what is written on the page,
anything, is what
written in the heart.

Therefore, the burning letters
and their ashes placed in snow
the edge of the river when the spring
comes and the snow melt and river
back to the river bank
to words and images
like waves washing over your body
listen to the songs of Eden
birds path
fly ... fly ...

flight ...


Freagment 3:

Feather to fire, fire to blood, blood to bone, bone to marrow, marrow to ashes, ashes to snow...

Pluma a fuego, fuego a sangre, sangre a hueso, hueso a tuétano, tuétano a cenizas, ceniza a nieve...


## 2010.12.10

Filed under: fun, games — Tags: , — sandokan65 @ 16:13

### Miracula Aeternitatis

Filed under: alchemy, languages, music — Tags: , , — sandokan65 @ 12:56

Cirque Du Soleil : Miracula Aeternitatis

• Album: Dralion
• Vocals: Erik Karol
• Keyboards: Sylvain Grand
• Cello solo: James Darling
• Guitars: Lionel Hamel
• Text inspired by the first verse of the “Tabula Smaragdina” (Emerald Tabled)
Quod fuit est quod erit
Et quod erit est sicut quod fuit
Miracula aeternitatis

Quod superius est sicut quod inferius

Quod fuit est quod erit
Et quod erit est sicut quod fuit
Miracula aeternitatis

Quod inferius est sicut quod superius

Miracula aeternitatis

Quod superius est sicut quod inferius


## Flamma Flamma: Fire Requiem (1994)

• 1. Hic Iacet I
• 2. Hic Iacet II
Hic iacet corpus
Animae carcer
Crescunt etiam
Ungues et capilli
Mortis et vita rota
Semper aeque volvitur
Lucet et corrumpit sol
Vivit et moritur caro
Apporta soror flores
Ne mortis odor
Vivis obsit
Lapida fratelle
Vultures saltantes
Ne feretrum polluant
Hic iacet corpus
Animae carcer
Materia mundi

• 3. Sumus Vicinae – http://www.youtube.com/watch?v=f__yv-5LQ_c
Sumus vicinae
Pulcherrime iacet
Quasi dormiens
Ubi vinum libatur
Vae viduae
Vae pupillis
Clunes tuas move mulier
Hic sedeo ego
Date mihi vinum
Vae viduae
Vae pupillis
Videtelinteum obsoletum
Catula etiam
Anulum ei
Et dentem aureum eriplit
Vae viduae
Vae pupillis
Videte morsum amantis
In collo scorti prisci
Ea suave olet
Ille putere incipit
Vae viduae
Vae pupillis

• 4. Tegite Specula
Tegite specula
Pater mortuus est
Odimus et amamus eum
Cuius sanguinem et nomen
Insanabile gerimus
Specula tegimus
Quia vultus patris
Persona iam mortis nostrae fit
Sicut cicatrix vitae quam
Insanabile gerimus

• 5. Complorate Filiae
Complorate filiae
Matrem
Et formae vestrae sortem

• 6. Vale Frater
Vale frater
Ex gremio eodem
Mature oculos tuos
Claudere debeo

• 7. Amice Mi
amice mi
amicitiae horas
numquam numeravi

• 8. Corpus Inimici
Corpus inimici
Conspuo
Odium flamma erat
Vita ipsa
Sit ultio mea

• 9. Deliciae Meae – http://www.youtube.com/watch?v=npJOBWhpncc
Deliciae meae
Venustas tua
Ipsi morti superest

Ultimum lavabo
Corpus nudum tuum
Lacrimis meis

Pyra non altius
Amoris mei igne
Ardere potest

Invideao et odi
Servos funebries quibus
Te tangere licet

Post me
Procus nullus
Nisi mors
Te possidet

flamma flamma
flamma flamma
ex sole et stellis surrepta
audacium lux
amoris ardor
ut animam liberes
ut tenebras vincas
te consecramus

Ave ignis purgans                hail purifuing fire
Ave ignis expians                hail expiating fire
Et moves                         and moving the world
Pleni sunt caeli                 the heavens are full

• 12. In Corpore
In corpore vivo
Vivis
Corpus mortuum

• 13. Agnus Purus
Agnus purus
Candidus
Culter in faucibus tuis
Non haesitet
Feri popa
Et prorumpet sanguis
Ex visceribus fumidis
Sicut flamma
Sicut sol extenebris

• 14. Ardeat Ignis
Ardeat ignis perennis
Luceat lux perpetua
Libera ardor sacer
Animam
Solve corpus in favilla
Ut
Spiritus soli reddatur
Ignis tenebrat vincat


## Terra Terra: The Aquarius Era (1999)

• 1. Molitur Memoria – http://www.youtube.com/watch?v=cMY5ILDvJqo
Molitur memoria molendatur continenter
In molina mentis olei non indiga

Putor anxius moribundae
Evanescit in defuncta
Et mutatur in amomum
Maeror ut superstitum
Luctus ut orborum
Videatur indecorus

O fortuna irreverens
O fortuna impudens

Praesentia tua n
Praesentia tua est quasi fortuita
Molitur memoria molendatur continenter
In molina mentis olei non indiga
In cinere corporis emeriti emoritur igneaus ardor
Tenuesque favillae nulla re nisi vi moventur venti
Molitur memoria molendatur continenter
In molina mentis olei non indiga

• 2. Mors O Sauvissima Rerum – http://www.youtube.com/watch?v=8D6YgEM2ysg
Mors o carissima rerum
Insanabilia corporis vulnera que curas

Animi affectus male rectos quae oboles
Desidiam segnem quae expugnas tu facis ut
Etiam rigidi catones et severi pharisaei
Sententiis agantur dubiis

Mors o suavissima rerum

Criminosis prava in libidine explendaque inservis Absolutionis ostium perfectae que pandis
Irretitos venere

Mors o largissima rerum

O salvatrix mundi inscios quae terres et ignaros
Quam sancti vaticinantur et damnati
Regibus superbis quae pares dea ficta
Militesque insolentes tu iudae etiam succurris

Mors o exitiosissima rerum

O divina debetrix quae tollis indiscrete
Timidos arrogantiores mutilos
Venustiores miseros potentiores
Tu eorum etiam irritas impatientiam
Qui curant dementes

• 3. Milliens Millenae – http://www.youtube.com/watch?v=OUNnhk4me0U
Milliens millenae (perrentiter et quaerunt)
Suntne satis multa corpora animae
Erant consciae erunt insciae
Milliens millenae quae vagantur vitae
Erant perfectae erunt cupidae
Immortales erant ereptae tempori
Milliens millenae ... quae vagantur vitae
Erant rationales erunt commotae
Milliens millenae quae ... vagantur vitae
Milliens millenae quae ... vagantur animae
Erant sublimes erunt vulgares
Suntne satis multa corpora animae

• 4. Moritur Terra – http://www.youtube.com/watch?v=h2K9P-_cups
Moritur terra
Annosus pisces et inquinatos
Verecunde inundat aquarius
Crescunt undae
Dum ancora cosmica
Aetatis novae
Demittitur irrevocabili pondere
Haec tamen oculis
Squamosae gentis
Non perspicitur

Mox validae temporum vires
Ridentes substantiam
Gignunt animatam
Parvula en anima
Suis movetur nixa viribus

Moritur terra pristina terra

Quam neque vincet dolor corporis labatis occidentis
Neque frenabit amoris dominatus
Neque opprimet ... libertas sentiendi negata
Virtutes avitae voxve populi

Mox validae temporum vires
Ridentes substantiam
Gignunt animatam
Parvula en anima
Suis movetur nixa viribus

Moritur terra pristina terra

• 5. Terra Aquarius
Nova tellus nos invitat
Ignis purgans ignis expians exstinguitur
Unda munda undanUnda munda unda novi mundi

Gaudeamus igitur et fruamur plene
Bonis animi bonis corpori
In conviviis versemur petulantibus festii
Nihil nihil metuentes

Nova tellus nos invitat
(Nova nos allicit terra)
Flamma flamma nobis valedicit
(Et arridet in disiectu laeta)

• 6. Eia! Eia! Fetus In Vulva – http://www.youtube.com/watch?v=2c9gqtqcMhE
• 7. Mater
Nullus umquam vir summum hoc gaudebit gaudium
Alte mihi venter turserat tumuerantque
Mammae sum quoque dilacerata tormentis

Dolor nihil est ad amorem comparatus meam postquam infantem his aspexi oculis

Ex amore natus n
Ex amore natus dolor
In dolore natus amor

• 8. Pater
Doctus vita doctus usu rerum dico
Nihil est usus nihil est experiantia rerum

Ego spectator eram tantum
Et semine vitali vane gloriabar
Per me stirpem propagarier altam

• 9. Pupulus
Ecce refert vultu patrem an ocellis matrem
Auribus an avum naribus avunculum

Pupulus pupulus
Pupulus pupulus

Eheu pupule parvule parum qui poveris
Eheu pupule parvule pro ludo haberis

Vagi inquam vagi rumpe caelum vagitu

• 10. Infans Dolore
Quanto iactatur infans dolore
Passus corpus
Passus motus animi
Mille passus vincula
Quanto vagit infans dolore

Dediscit infans
Quae per se tenebat
Dediscit modulamina cordis
Ut fauce mittat voces
Sonosque quos olim profundit
Praecordis nunc eructat gutture

Mutantur spiritalia
Sorde hac terrena
Quanto iactatur infans dolore
Passus corpus
Passus motus animi
Mille passus vincula
Quanto vagit infans dolore

• 11. Pupulam O Puram
Pupulam o pupulam
Pupulam o pupulam puram
Venerem venustam venerem divinam

Virgunculae puellae mamillae
In caelum sunt erectae
Suntque deflexae
A tepido gremio occluso
Anima novella pruriginem dissimulare
Quaerit frustra maternum namque
Gremium ardet auri desiderio

Freta agitata ad oculis apparet omnium
Pupula tam pura
Venus venustissima

Pupulam o pupulam
Pupulam o pupulam puram
Venerem venustam
Venerem divinam

Animula puellae molli mersa voluptate
Suavi capta furore procuberet humi
Si non subvenirent chacrae bene temperatae
Si non suffulcirent chacrae bene temperatae
Animo maturi et aevo doloribus qui sunt durati
Pati num possunt homunes lascivientis virgunculae

Pupulam o pupulam
Pupulam o pupulam puram
Venerem venustam
Venerem divinam

Freta agitata ... novis oculi
Pupula tam pura

Populam o populam
Venerem venustam divinam divinam ...

• 12. Anima Superba – http:

Anima superba

Mordeor invidia
Mortua morior invidia
Quid Aufigis
Quo nunc te proripis

Anima superba

• 13. Deus Meus
Mi mellite deus meus
Deus meus iuvenilis
Cur ostentas iuvenilis

Quid inspiciam novi
Novi nihil est sub sole
Siu cuncta sunt perspecta


## Orrori dell’Amore (1995) – songbook

• 1. Orrori dell’Amore (07:20)
• 2. The Desire for the Blue World (03:43)
• 3. La Generosita dei Vita (06:39)
• 4. The Alpenwaltz (03:12)
• 5. The Queen’s Body (02:46)
• 6. Desiderando (06:27)
• 7. Waa wee (03:43)
• 8. Le Roi est Mort, Vive le Roi (04:10)
• 9. Les Paysannes Royales (03:11)
• 10. Ein adliches Geschlecht (05:58)
• 11. The Emperor (04:03)
• 12. Was hast du mit meinem Herz getan? (04:46) – http://en.wikipedia.org/wiki/Was_hast_du_mit_meinem_Herz_getan%3F
Was Hast Du Mit Meinem Herz Getan

Was hast du mit meinem Herz gemacht?
Was hast du mit meinem Herz gemacht?
Kann darf wissen
was du mit meinem Herz getan hast?
Kann darf wiseen
was du mit meinem Herz getan hast?
Getan hast?

Was hast du mit meinem Herz getan?
Was hast du mit meinem Herz getan?
Kann darf wissen
was du mit meinem Herz getan hast?
Kann darf wissen
was du mit meinem Herz getan hast?
Getan hast?

Die Erde, die Hügel, werden von Grün
hat mein Schatten, wie Grün, wo ist dein Grün?
hat meine Hand gefährt
das Ross, die Haare, werden von Blut,
verrat mein Schacht, wie rot, wo ist dein Tod?
hat mein Herz gefährt

Die Erde, die Hügel, werden von Grün
hat mein Schatten, wie Grün, wo ist dein Grün?
hat meine Hand gefährt
das Ross, die Haare, werden von Blut,
verrat mein Schacht, wie rot, wo ist dein Tod?
hat mein Herz gefährt

Was hast du mit meinem Herz getan?
Was hast du mit meinem Herz getan?
Kann darf wissen
was du mit meinem Herz getan hast?
Kann darf wissen
was du mit meinem Herz getan hast?
Getan hast?

• 13. Orrori dell’Amore (07:22)

## 2010.11.11

### Number stations

Filed under: fun — Tags: , — sandokan65 @ 22:47

## 2010.10.19

### Infosec books

Filed under: books, infosec — Tags: , — sandokan65 @ 12:58
• Book: Enterprise Security For the Executive – https://eikonal.wordpress.com/2010/01/07/book-enterprise-security-for-the-executive/
• “Strategic Cyber Security” by Kenneth Geers (NATO; 2011) – http://www.ccdcoe.org/278.html [FREE: PDF, ePUB]
The book argues that computer security has evolved from a technical discipline to a strategic concept. The world’s growing dependence on a powerful but vulnerable Internet – combined with the disruptive capabilities of cyber attackers – now threatens national and international security.

Strategic challenges require strategic solutions. The author examines four nation-state approaches to cyber attack mitigation:

• Internet Protocol version 6 (IPv6)
• Sun Tzu’s Art of War
• Cyber attack deterrence
• Cyber arms control

The four threat mitigation strategies fall into several categories. IPv6 is a technical solution. Art of War is military. The third and fourth strategies are hybrid: deterrence is a mix of military and political considerations; arms control is a political/technical approach.

The Decision Making Trial and Evaluation Laboratory (DEMATEL) is used to place the key research concepts into an influence matrix. DEMATEL analysis demonstrates that IPv6 is currently the most likely of the four examined strategies to improve a nation’s cyber defence posture.

There are two primary reasons why IPv6 scores well in this research. First, as a technology, IPv6 is more resistant to outside influence than the other proposed strategies, particularly deterrence and arms control, which should make it a more reliable investment. Second, IPv6 addresses the most significant advantage of cyber attackers today – anonymity.

## Misc

This should be titled “some infosec books” – namely the infosec books that I have recently read or used.

There exist many other collections/lists of books in this domain. Some are:

Similar at this blog: Book: Enterprise Security For the Executive – https://eikonal.wordpress.com/2010/01/07/book-enterprise-security-for-the-executive/ | Infosec pages at this blog – https://eikonal.wordpress.com/2011/05/17/information-security-sites/ | Infosec online (= infosec sites) – https://eikonal.wordpress.com/2010/02/01/infosec-online/

## 2010.09.29

### The Flake Equation

Filed under: fun — sandokan65 @ 21:27

## 2010.08.04

### Airplane fees

Filed under: travel — sandokan65 @ 13:19
Older Posts »