I can't play the video/the subtitles don't show/the video is squashed.

This video uses advanced, mostly experimental, features of Matroska such as anamorphic video and soft subtitles. The recommended player on Windows is either VLC or DefilerPak along with Media Player Classic (using the Overlay Mixer) or Core Media Player.

If the video plays properly with subtitles, but is squashed (displaying at 704x480) you may have to manually resize to 4:3 (704x528).


The scrolling text at the beginning of the episode

For all the good boys and girls
The story so far

With regard to the similarity between the functions of quantum mechanical operation and the distribution functions of statistical physics, the quantum mechanical operation is roughly represented as below:

Z = integral exp(1/h) D|φ|.

If we regard this as a complete summary of the situation, it is the exact result of the GAZE theory1 proposed by WALL and YANN, as well as the WINEBERG-SALAMM theory describing the strong interaction; the quantum chromodynamics are regular under internal canonical modelling.

Clearly, for this well known example, a phase transition region around 10^13 GeV2 does not change the hierarchical structure implying the kinetic variable ϕ, but is instead a classical integration operation.
However, near the end of the 20th century, these unsolved problems of elementary particle theory, superstring theory, strange properties of unitary transformations around the supersymmetric HILVEL space3, and the local space canonical representations were merged into one.

According to Tanhoizer4's first paper, "The ether electrodynamics of objects in motion," Ether corresponds to the particle of the HIGGS field in W/S theory, and vacuum space is defined as the ground state of the field. In general, particles of zero or integral number spin follow BOZEーAINSTEI statistics5, and others follow FERMI/DIRAC statistics. The Plank constant and gravitational constant are determined when high-dimensional space automatically decays into an N-dimensional phase division.

The scattering amplitude describing the scattering process, when we require the causation of complex intensification, turns out to be an analytical function in the complex plane, which by applying CORSEY's integration theorem, results in the Tannhäuser division function.

From Kazumi Amano's paper, published at the conference of All Japan High School Physics.
  1. GAZE theory = Gauge Theory
  2. GeV = Giga Electron Volt. A unit of energy in High Energy Physics.
  3. HILVEL space = Hilbert space
  4. Tanhoizer = Tannhäuser
  5. BOZE-AINSTEI statistics = Bose-Einstein statistics.

The opening credits

EXECUTIVE PRODUCERS
Tadatsugu Hayakawa
Toshio Azami

ORIGINAL STORY CONCEPT
Shin Unosawa
Isamu Senda
Toshio Okada

SCREENPLAY
Toshio Okada
PRODUCED BY
Minoru Takanashi
Shiro Sasaki
Hiroaki Inoue

ART DIRECTION
Shinji Higuchi
Hideaki Anno

CHARACTER DESIGN
Haruhiko Mikimoto
ANIMATION CHARACTER DESIGN
Toshiyuki Kubowoka

MUSIC
Kohei Tanaka

THEME SONG
Vocals: Noriko Sakai
Lyrics: Hiromi Mori
Composer: Eiji Nishiki
Arranger: Motoki Funayama

MECHA & ROBOT DESIGN
Kazutaka Miyatake
Koichi Ohata

ART DESIGN
Masanori Kikuchi
Hiroshi Sasaki

DIRECTED BY
Hideaki Anno

Character names


Other signs

In the scene with Smith after the eyecatch, there are two signs reading:

Switch off the light when not in use.
     EECC (Effective Energy Consumption Committee)
Put rubbish in the trash can.
     LBMC (Living Block Management Committee)

The text at the very end of the science lesson reads:

Apology and correction

In Science Lesson No.3, the writing on the display was,

Dimensional Wave Superstring Welcoming Degenerated Radius Jump Gravitational Field Super-light-speed navigation.

But, that was wrong. The correct term is,

Dimensional Wave Superstring Excitation Degenerated Radius Jump Gravitational Field Super-light-speed Navigation.

Director Hideaki Anno.

"Tarsian"

This is the name of one of the ships in the fleet. It's also very similar to the name of the alien attackers in Voices of a Distant Star.


The closing credits

  CAST
Takaya Noriko Noriko Hidaka
Kazumi Amano Rei Sakuma
Coach Norio Wakamoto
Jung-Freud Maria Kawamura

PRODUCTION DESIGN
Yoshiyuki Sadamoto
Hiroshi Sasaki
Mahiro Maeda
Masanori Kikuchi

SCIENTIFIC CONCEPT ANIMATION
Yuji Moriyama
MAIN TITLE DESIGN
Yutaka Murakami (ARTMIC)

CHIEF ANIMATOR
Toshiyuki Kubowoka

ANIMATORS
Katsuhiro Nakayama Takeshi Honda
Kazuya Honda Shinya Yamamoto
Yoko Onoda Tomoaki Kado
Keiji Gotoh Koichi Nakaochi
Naoya Kato Koji Yamada

CHIEF ILLUSTRATORS
Yuji Moriyama
Toshiyuki Kubowoka

LINE PRODUCER
Shoichi Masuo
CINEMATOGRAPHY
Masahide Okino
Hidetoshi Watanabe

SOUND
Ueo Ando (AOI STUDIO)
Nobuyoshi Kamimura
Shizuo Kurahashi
Toyo Onkyo
RECORDED AT
AOI STUDIO

SOUND EFFECTS
Etsuji Yamada
SPECIAL EFFECTS
Yoshiki Okumura

ENDING THEME "Try Again"
VOCALS Noriko Sakai
LYRICS Megumi Ogura
COMPOSER Eiji Nishiki
ARRANGER Motoki Funayama
PRODUCED BY
Victor Music Industry

POST-PRODUCTION
Studio Kuma
Kuroneko Kan
Studio Cats
NUTI
Studio Step

OPENING TITLES
Maki Productions
CLOSING TITLES
Kimiko Akai

PRODUCED BY
GAINAX

COPYRIGHT 1990
VICTOR-GAINAX-B.M.D.
ALL RIGHTS RESERVED

"PUNISHMENT!"

In the game Hanetsuki, the winners draw Xs on the losers' faces in ink with brushes. The game is played in January. Episodes 3 and 4 of Gunbuster were released on New Years' Day, so Amano and Noriko are wearing kimonos and playing hanetsuki.

Sources