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-rw-r--r-- | Ethernet.page | 2 | ||||
-rw-r--r-- | Front Page.page | 7 | ||||
-rw-r--r-- | film/Good Movies.page | 27 | ||||
-rw-r--r-- | film/To Watch.page | 4 | ||||
-rw-r--r-- | physics/LIGO.page | 2 | ||||
-rw-r--r-- | physics/quantum/fermigas.page | 39 | ||||
-rw-r--r-- | physics/units.page | 2 | ||||
-rw-r--r-- | software/idl.page | 33 |
8 files changed, 68 insertions, 48 deletions
diff --git a/Ethernet.page b/Ethernet.page index 22eaf7a..d455f21 100644 --- a/Ethernet.page +++ b/Ethernet.page @@ -1,7 +1,7 @@ --- format: rst categories: cs -toc: yes +toc: no ... ======== diff --git a/Front Page.page b/Front Page.page index c75d56e..7288134 100644 --- a/Front Page.page +++ b/Front Page.page @@ -1,5 +1,8 @@ -Mind Map! --------------- +--- +toc: no +... + +# Mind Map! This is where everything I know goes! Right now there are lots of render errors after a software change and plenty of holes, but so it is. diff --git a/film/Good Movies.page b/film/Good Movies.page index 3e6c792..23cd0bd 100644 --- a/film/Good Movies.page +++ b/film/Good Movies.page @@ -3,23 +3,20 @@ Good Movies I love all of these films in their own way: some because they cover such interesting topics, some because they beautifully made, and some because they have such a strong impact. -.. note:: - This is just a start! - Cream of the Crop ----------------- -* Brazil (1985, `imdb1 <http://www.imdb.com/title/tt0088846/>`_) +* Brazil (1985, [imdb](http://www.imdb.com/title/tt0088846/)) * Requiem for a Dream * The Five Obstructions * Rushmore -* Sympathy for Mr. Vengence (see `Vengeance Trilogy`_) +* Sympathy for Mr. Vengeance (see "Vengeance Trilogy") * Lost in Translation * The Pianist Also Really Good ---------------- * The Life Aquatic -* The Royal Tenenbaums (2001, `imdb2 <http://www.imdb.com/title/tt0265666/>`_) +* The Royal Tenenbaums (2001, [imdb](http://www.imdb.com/title/tt0265666/)) * Hedwig and the Angry Inch * Edward Scissorhands (1990) * Eternal Sunshine of the Spotless Mind @@ -34,22 +31,18 @@ Also Really Good Good and Interesting -------------------- -*Note everybody would love these movies, but if it sounds interesting at all i'd check them out* +*Not everybody would love these movies, but if it sounds interesting at all i'd check them out* -* Pi (1998, `imdb3 <http://www.imdb.com/title/tt0138704/>`_) -* Delicatessen (1991, `imdb4 <http://www.imdb.com/title/tt0101700/>`_) +* Pi (1998, [imdb](http://www.imdb.com/title/tt0138704/)) +* Delicatessen (1991, [imdb](http://www.imdb.com/title/tt0101700/)) * The City of Lost Children * Kids * The Conversation * Akira - -.. _`Vengeance Trilogy`: - -* The Vengeance Trilogy - - - Oldboy (2003, `imdb5 <http://www.imdb.com/title/tt0364569/>`_) - - Sympathy for Mr. Vengeance (aka Buksuneun naui geot, 2002, `imdb6 <http://www.imdb.com/title/tt0310775/>`_) - - Lady Vengeance (aka Chinjeolhan geumjassi, 2005, `imdb7 <http://www.imdb.com/title/tt0451094/>`_) +* Vengeance Trilogy: + - Oldboy (2003, [imdb](http://www.imdb.com/title/tt0364569/)) + - Sympathy for Mr. Vengeance (aka Buksuneun naui geot, 2002, [imdb](http://www.imdb.com/title/tt0310775/)) + - Lady Vengeance (aka Chinjeolhan geumjassi, 2005, [imdb](http://www.imdb.com/title/tt0451094/)) * The Animation Show * American History X diff --git a/film/To Watch.page b/film/To Watch.page index c66d32c..b61a7c1 100644 --- a/film/To Watch.page +++ b/film/To Watch.page @@ -3,4 +3,6 @@ Films To Watch * Children of Paradise * Brain Candy - + * One, Two, Three + * The White Ribbon (by Haneke) +
\ No newline at end of file diff --git a/physics/LIGO.page b/physics/LIGO.page index 5441594..2e86d5f 100644 --- a/physics/LIGO.page +++ b/physics/LIGO.page @@ -1,7 +1,7 @@ --- format: rst categories: physics -toc: yes +toc: no ... diff --git a/physics/quantum/fermigas.page b/physics/quantum/fermigas.page index 0114b43..de66ee1 100644 --- a/physics/quantum/fermigas.page +++ b/physics/quantum/fermigas.page @@ -1,35 +1,34 @@ -=============== -Fermi Gas -=============== +# Fermi Gas Derivation of the Fermi Energy ---------------------------------- +------------------------------- + Consider a crystal lattice with an electron gas as a 3 dimensional infinite -square well with dimensions :m:`$l_{x}, l_{y}, l_z$`. The wavefunctions of +square well with dimensions $l_{x}, l_{y}, l_z$. The wavefunctions of individual fermions (pretending they are non-interacting) can be seperated -as :m:`$\psi(x,y)=\psi_{x}(x)\psi_{y}(y)\psi_{z}(z)$`. The solutions will be +as $\psi(x,y)=\psi_{x}(x)\psi_{y}(y)\psi_{z}(z)$. The solutions will be the usual ones to the Schrodinger equation: -:m:`$$\frac{-\hbar^2}{2m}\frac{d^2 \psi_x}{dx}=E_x \psi_x$$` +$$\frac{-\hbar^2}{2m}\frac{d^2 \psi_x}{dx}=E_x \psi_x$$ -with the usual wave numbers :m:`$k_x=\frac{\sqrt{2mE_x}}{\hbar}$`, and quantum -numbers satisfying the boundry conditions :m:`$k_x l_x = n_x \pi$`. The full +with the usual wave numbers $k_x=\frac{\sqrt{2mE_x}}{\hbar}$, and quantum +numbers satisfying the boundry conditions $k_x l_x = n_x \pi$. The full wavefunction for each particle will be: -:m:`$$\psi_{n_{x}n_{y}n_{z}}(x,y,z)=\sqrt{\frac{4}{l_{x}l_{y}}}\sin\left(\frac{n_{x}\pi}{l_{x}}x\right)\sin\left(\frac{n_{y}\pi}{l_{y}}y\right)\sin\left(\frac{n_{z}\pi}{l_{z}}z\right)$$` +$$\psi_{n_{x}n_{y}n_{z}}(x,y,z)=\sqrt{\frac{4}{l_{x}l_{y}}}\sin\left(\frac{n_{x}\pi}{l_{x}}x\right)\sin\left(\frac{n_{y}\pi}{l_{y}}y\right)\sin\left(\frac{n_{z}\pi}{l_{z}}z\right)$$ -and the associated energies (with :m:`$E = E_x + E_y + E_z$`): +and the associated energies (with $E = E_x + E_y + E_z$): -:m:`$$E_{n_{x}n_{y}n_z}=\frac{\hbar^{2}\pi^{2}}{2m}\left(\frac{n_{x}^{2}}{l_{x}^{2}}+\frac{n_{y}^{2}}{l_{y}^{2}}+\frac{n_{z}^{2}}{l_{z}^{2}}\right)=\frac{\hbar^2|\vec{k}|^2}{2m}$$` +$$E_{n_{x}n_{y}n_z}=\frac{\hbar^{2}\pi^{2}}{2m}\left(\frac{n_{x}^{2}}{l_{x}^{2}}+\frac{n_{y}^{2}}{l_{y}^{2}}+\frac{n_{z}^{2}}{l_{z}^{2}}\right)=\frac{\hbar^2|\vec{k}|^2}{2m}$$ -where :m:`$|\vec{k}|^2$` is the magnitude of the particle's k-vector in k-space. +where $|\vec{k}|^2$ is the magnitude of the particle's k-vector in k-space. This k-space can be imagined as a grid of blocks, each representing a possible particle state (with a double degeneracy for spin). Positions on this grid have -coordinates :m:`$(k_{x},k_{y},k_z)$` corresponding to the positive integer +coordinates $(k_{x},k_{y},k_z)$ corresponding to the positive integer quantum numbers. These blocks will be filled from the lowest energy upwards: for large numbers of occupying particles, the filling pattern can be approximated as an expanding spherical shell with -radius :m:`$|\vec{k_F}|^2$`. +radius $|\vec{k_F}|^2$. Note that we're "over counting" the number of occupied states because the "sides" of the quarter sphere in k-space (where one of the associated quantum @@ -41,11 +40,11 @@ side-surface), u.s.w. The surface of this shell is called the Fermi surface and represents the most excited states in the gas. The radius can be derived by calculating the total -volume enclosed: each block has volume :m:`$\frac{\pi^3}{l_x l_y -l_z}=\frac{\pi^3}{V}$` and there are N/2 blocks occupied by N fermions, so: +volume enclosed: each block has volume $\frac{\pi^3}{l_x l_y +l_z}=\frac{\pi^3}{V}$ and there are N/2 blocks occupied by N fermions, so: -:m:`$$\frac{1}{8}(\frac{4\pi}{3} |k_{F}|^{3})&=&\frac{Nq}{2}(\frac{\pi^{3}}{V})\\|k_{F}|&=&\sqrt{\frac{3Nq\pi^2}{V}}^3=\sqrt{3\pi^2\rho}^3$$` +$$\frac{1}{8}(\frac{4\pi}{3} |k_{F}|^{3})&=&\frac{Nq}{2}(\frac{\pi^{3}}{V})\\|k_{F}|&=&\sqrt{\frac{3Nq\pi^2}{V}}^3=\sqrt{3\pi^2\rho}^3$$ -:m:`$\rho$` is the "free fermion density". The corresponding energy is: +$\rho$ is the "free fermion density". The corresponding energy is: -:m:`$$E_{F}=\frac{\hbar^{2}}{2m}|k_{F}|^{2}=\frac{\hbar^{2}}{2m}(3\rho \pi)^{2/3}$$` +$$E_{F}=\frac{\hbar^{2}}{2m}|k_{F}|^{2}=\frac{\hbar^{2}}{2m}(3\rho \pi)^{2/3}$$ diff --git a/physics/units.page b/physics/units.page index 738e3f7..385136c 100644 --- a/physics/units.page +++ b/physics/units.page @@ -1,7 +1,7 @@ --- format: rst categories: physics -toc: yes +toc: no ... ====================== Units diff --git a/software/idl.page b/software/idl.page index 00b444a..78e41b3 100644 --- a/software/idl.page +++ b/software/idl.page @@ -1,7 +1,7 @@ --- format: rst categories: software -toc: yes +toc: no ... ================== @@ -24,12 +24,29 @@ Syntax ----------------- Procedures are called with a comma seperated list-like syntax where the first -element is the procedure and the following elements are arguments. +element is the procedure and the following elements are arguments. -Command Interface ------------------ +The ``!`` character as a prefix is used to designate system variables. + +``;`` is used for commenting. + +``.`` can be used to start executive commands, +Indicate constant is floating point +Start executive command + +``&`` separates multiple statements/expressions on a single line (like ``;`` +often does in other languages). + +``*`` can be used for pointer dereferencing, as well as for multiplication +and a wild card in array slicing. -Instead of the ever-standard ``!`` to execute system commands, use ``$``. +``@`` is used to include files, or execute a batch file. + +``?`` brings up the IDL GUI help interface when entered at the +command line. + +Instead of the ever-standard ``!`` to execute system commands, use ``$``. Also, +an ``$`` at the end of a line means continue to the next line, like ``\``. X Windows -------------- @@ -43,3 +60,9 @@ add these lines to your ``~/.Xdefaults``:: and then run ``xrdb -merge ~/.Xdefault``. (This tip from http://star.pst.qub.ac.uk/help/idl.shtml) + +Basic Constructors +-------------------- +BINDGEN, CINDGEN, DCINDGEN, DINDGEN, FINDGEN, L64INDGEN, LINDGEN, UINDGEN, UL64INDGEN, and ULINDGEN create arrays of increasing values, similar to range() in python; the prefix characters indicate the data type (B = byte, C = complex integer, etc). + +The exponent notation ``5.67e3`` creates a floating point number, while ``5.67d3`` creates a double length float.
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