[med-svn] [python-mne] 257/376: fixing manual
Yaroslav Halchenko
debian at onerussian.com
Fri Nov 27 17:23:02 UTC 2015
This is an automated email from the git hooks/post-receive script.
yoh pushed a commit to annotated tag v0.1
in repository python-mne.
commit de57d2985c232f9657135c99b040a15e9c9126fa
Author: Emily Ruzich <emilyr at nmr.mgh.harvard.edu>
Date: Tue May 17 16:01:33 2011 -0400
fixing manual
---
doc/source/manual/AppB.rst | 12 ++--
doc/source/manual/convert.rst | 2 +-
doc/source/manual/matlab.rst | 12 ++--
doc/source/manual/mne.rst | 6 +-
doc/source/manual/utilities.rst | 151 ++++++++++++++++++++--------------------
5 files changed, 91 insertions(+), 92 deletions(-)
diff --git a/doc/source/manual/AppB.rst b/doc/source/manual/AppB.rst
index 1ef1f45..520ff98 100755
--- a/doc/source/manual/AppB.rst
+++ b/doc/source/manual/AppB.rst
@@ -180,7 +180,7 @@ the following command-line options:
**\---snr <*value*>**
An estimate for the amplitude SNR. The regularization parameter will
- be set as INLINE_EQUATION. If the SNR option is
+ be set as :math:`\lambda = ^1/_{\text{SNR}}`. If the SNR option is
absent, the regularization parameter will be estimated from the
data. The regularization parameter will be then time dependent.
@@ -202,14 +202,14 @@ the following command-line options:
**\---chi2**
- Calculate an approximate INLINE_EQUATION statistic
+ Calculate an approximate :math:`\chi_2^3` statistic
instead of the *F* statistic. This is simply
accomplished by multiplying the *F* statistic
by three.
**\---sqrtF**
- Take the square root of the INLINE_EQUATION or *F* statistic
+ Take the square root of the :math:`\chi_2^3` or *F* statistic
before outputting the stc file.
**\---collapse**
@@ -223,13 +223,13 @@ the following command-line options:
**\---collapse1**
Make all frames in the stc file (or the wfile) indentical. The value
- at each source location is the INLINE_EQUATION norm
+ at each source location is the :math:`L_1` norm
of the output quantity at this location over the analysis period.
**\---collapse2**
Make all frames in the stc file (or the wfile) identical. The value
- at each source location is the INLINE_EQUATION norm
+ at each source location is the :math:`L_2` norm
of the output quantity at this location over the analysis period.
**\---SIcurrents**
@@ -286,7 +286,7 @@ the following command-line options:
Label to process. The label files are produced by tksurfer and specify
regions of interests (ROIs). A label file name should end with ``-lh.label`` for
left-hemisphere ROIs and with ``-rh.label`` for right-hemisphere
- ones. The corresponding output files are tagged with ``-lh-`` <*data type ``.amp`` and ``-rh-`` <*data type ``.amp`` , respectively. <*data type*> equals ``MNE`` for expected current
+ ones. The corresponding output files are tagged with ``-lh-`` <*data type* ``.amp`` and ``-rh-`` <*data type* ``.amp`` , respectively. <*data type*> equals ``MNE`` for expected current
data and ``spm`` for dSPM data. Each line of the output
file contains the waveform of the output quantity at one of the
source locations falling inside the ROI.
diff --git a/doc/source/manual/convert.rst b/doc/source/manual/convert.rst
index a3462d6..e74aa3d 100755
--- a/doc/source/manual/convert.rst
+++ b/doc/source/manual/convert.rst
@@ -1789,7 +1789,7 @@ The prefix given with the ``--tag`` option is indicated <*tag*> , see :ref:`BEHC
meg_head_trans 4 x 4 The coordinate frame transformation from the MEG device coordinates to the MEG head coordinates
noise_cov nchan x nchan The noise covariance matrix
source_cov nsource The elements of the diagonal source covariance matrix.
- sing nchan The singular values of :math:`A = C_0^{-^1/_2} G R^C = U \Lambda V^T` with :math:`R` selected so that trace :math:`(AA^T)`/trace :math:`(I = 1)` as discussed in :ref:`CHDDHAGE`
+ sing nchan The singular values of :math:`A = C_0^{-^1/_2} G R^C = U \Lambda V^T` with :math:`R` selected so that :math:`\text{trace}(AA^T) / \text{trace}(I) = 1` as discussed in :ref:`CHDDHAGE`
eigen_fields nchan x nchan The rows of this matrix are the left singular vectors of :math:`A`, i.e., the columns of :math:`U`, see above.
eigen_leads nchan x nsource The rows of this matrix are the right singular vectors of :math:`A`, i.e., the columns of :math:`V`, see above.
noise_eigenval nchan In terms of :ref:`CHDDHAGE`, eigenvalues of :math:`C_0`, i.e., not scaled with number of averages.
diff --git a/doc/source/manual/matlab.rst b/doc/source/manual/matlab.rst
index 68c601e..a50f159 100755
--- a/doc/source/manual/matlab.rst
+++ b/doc/source/manual/matlab.rst
@@ -698,18 +698,18 @@ The documented structures are:
nchan int32 Number of channels.
coord_frame int32 Coordinate frame in which the locations and orientations are expressed.
source_nn double(*,3) The source orientations. Number of rows is either nsource (fixed source orientations) or 3*nsource (all source orientations).
- sing double(nchan) The singular values, *i.e.*, the diagonal values of INLINE_EQUATION, see :ref:`CHDBEHBC`.
- eigen_leads double(*,nchan) The matrix INLINE_EQUATION, see :ref:`CHDBEHBC`.
- eigen_fields double(nchan,nchan) The matrix INLINE_EQUATION, see :ref:`CHDBEHBC`.
- noise_cov cov The noise covariance matrix C.
- source_cov cov The source covariance matrix R.
+ sing double(nchan) The singular values, *i.e.*, the diagonal values of :math:`\Lambda`, see :ref:`CHDBEHBC`.
+ eigen_leads double(*,nchan) The matrix :math:`V`, see :ref:`CHDBEHBC`.
+ eigen_fields double(nchan,nchan) The matrix :math:`U^T`, see :ref:`CHDBEHBC`.
+ noise_cov cov The noise covariance matrix :math:`C`.
+ source_cov cov The source covariance matrix :math:`R`.
src surf(*) The description of the source spaces
mri_head_t trans Transformation from the MRI coordinate frame to the (Neuromag) head coordinate frame.
nave double The number of averages.
projs proj(*) The SSP vectors which were active when the decomposition was computed
proj double(nchan) The projection operator computed using projs .
whitener A sparse matrix containing the noise normalization factors. Dimension is either nsource (fixed source orientations) or 3*nsource (all source orientations).
- reginv double(nchan) The diagonal matrix INLINE_EQUATION, see :ref:`CHDBEHBC`.
+ reginv double(nchan) The diagonal matrix :math:`\Gamma`, see :ref:`CHDBEHBC`.
noisenorm double(*) A sparse matrix containing the noise normalization factors. Dimension is either nsource (fixed source orientations) or 3*nsource (all source orientations).
=============== ====================== ==============================================================================================================================================================
diff --git a/doc/source/manual/mne.rst b/doc/source/manual/mne.rst
index 7736df1..c1237c5 100755
--- a/doc/source/manual/mne.rst
+++ b/doc/source/manual/mne.rst
@@ -116,11 +116,11 @@ equivalent to a change in the variance of the current amplitudes
in the Bayesian *a priori* distribution.
Convenient choice for the source-covariance matrix :math:`R` is
-such that trace :math:`(\tilde{G} R \tilde{G}^T)/` trace :math:`(I) = 1`. With this choice we
+such that :math:`\text{trace}(\tilde{G} R \tilde{G}^T) / \text{trace}(I) = 1`. With this choice we
can approximate :math:`\lambda^2 \sim 1/SNR`, where SNR is
the (power) signal-to-noise ratio of the whitened data.
-.. note:: The definition of the signal to noise-ratio/ :math:`\lambda^2` relationship given above works nicely for the whitened forward solution. In the un-whitened case scaling with the trace ratio trace :math:`(GRG^T)/` trace :math:`(C)` does not make sense, since the diagonal elements summed have, in general, different units of measure. For example, the MEG data are expressed in T or T/m whereas the unit of EEG is Volts.
+.. note:: The definition of the signal to noise-ratio/ :math:`\lambda^2` relationship given above works nicely for the whitened forward solution. In the un-whitened case scaling with the trace ratio :math:`\text{trace}(GRG^T) / \text{trace}(C)` does not make sense, since the diagonal elements summed have, in general, different units of measure. For example, the MEG data are expressed in T or T/m whereas the unit of EEG is Volts.
.. _CBBHEGAB:
@@ -205,7 +205,7 @@ the :math:`k` th column of :math:`V`. It is thus seen that the current estimate
a weighted sum of the 'modified' eigenleads :math:`v_k`.
It is easy to see that :math:`w(t) \propto \sqrt{L}`.
-To maintain the relation :math:`(\tilde{G} R \tilde{G}^T)/` trace :math:`(I) = 1` when :math:`L` changes
+To maintain the relation :math:`(\tilde{G} R \tilde{G}^T) / \text{trace}(I) = 1` when :math:`L` changes
we must have :math:`R \propto 1/L`. With this approach, :math:`\lambda_k` is
independent of :math:`L` and, for fixed :math:`\lambda`,
we see directly that :math:`j(t)` is independent
diff --git a/doc/source/manual/utilities.rst b/doc/source/manual/utilities.rst
index 831272d..a76383c 100755
--- a/doc/source/manual/utilities.rst
+++ b/doc/source/manual/utilities.rst
@@ -470,12 +470,12 @@ the following command-line options:
Specifies the threshold between values to be considered zero and non-zero
in the input file specified with the ``--inmat`` option.
- The default threshold is INLINE_EQUATION.
+ The default threshold is :math:`10^{-6}`.
**\---out <*name*>**
Specifies output fif file to contain the derivation data. The recommended
- name of the derivation file has the format <*name*> ``-deriv.fif`` .
+ name of the derivation file has the format <:math:`name`> ``-deriv.fif`` .
**\---list <*name*>**
@@ -492,11 +492,11 @@ All lines in the input files starting with the pound sign
(#) are considered to be comments. The format of a derivation in
a arithmetic input file is:
- <*name*> ``=`` [ <*INLINE_EQUATION*>``*`` ] <*INLINE_EQUATION > ``+`` <*INLINE_EQUATION*>``*`` ] <*INLINE_EQUATION >INLINE_EQUATION
+.. math:: \langle name \rangle = [\langle w_1 \rangle *] \langle name_1 \rangle + [\langle w_2 \rangle *] \langle name_2 \rangle \dotso
-where <*name*> is the
-name of the derived channel, INLINE_EQUATION are
-the names of the channels comprising the derivation, and INLINE_EQUATION are
+where <:math:`name`> is the
+name of the derived channel, :math:`name_k` are
+the names of the channels comprising the derivation, and :math:`w_k` are
their weights. Note that spaces are necessary between the items.
Channel names containing spaces must be put in quotes. For example,
@@ -512,8 +512,7 @@ two times ``EEG 002`` .
The format of a matrix derivation file is:
- <*nrow*> <*ncol*> <*names of the input channels*>
- <*INLINE_EQUATION*> <*weights*> INLINE_EQUATION
+.. math:: \langle nrow \rangle \langle ncol \rangle \langle names\ of\ the\ input\ channels \rangle \langle name_1 \rangle \langle weights \rangle \dotso
The combination of the two arithmetic examples, above can
be thus represented as:
@@ -562,14 +561,14 @@ onto a plane. The mapping consists of the following steps:
locations and the locations are translated by the location of the
origin of the best-fitting sphere.
-- The spherical coordinates (INLINE_EQUATION)
+- The spherical coordinates (:math:`r_k`, :math:`\theta_k`, and :math:`\phi_k`)
corresponding to each translated electrode location are computed.
-- The projected locations INLINE_EQUATION and INLINE_EQUATION are
- computed. By default, INLINE_EQUATION, *i.e.* at
- the equator (INLINE_EQUATION) the multiplier is
+- The projected locations :math:`u_k = R \theta_k \cos{\phi_k}` and :math:`v_k = R \theta_k \sin{\phi_k}` are
+ computed. By default, :math:`R = 20/{^{\pi}/_2}`, *i.e.* at
+ the equator (:math:`\theta = ^{\pi}/_2`) the multiplier is
20. This projection radius can be adjusted with the ``--prad`` option.
- Increasing or decreasing INLINE_EQUATION makes
+ Increasing or decreasing :math:`R` makes
the spacing between the channel viewports larger or smaller, respectively.
- A viewport with width 5 and height 4 is placed centered at
@@ -593,11 +592,11 @@ The command-line options are:
**\---nofit**
Do not fit a sphere to the electrode locations but use a standard sphere
- center (INLINE_EQUATION, and INLINE_EQUATION instead.
+ center (:math:`x = y = 0`, and :math:`z = 40` mm) instead.
**\---prad <*value*>**
- Specifies a non-standard projection radius INLINE_EQUATION,
+ Specifies a non-standard projection radius :math:`R`,
see above.
**\---width <*value*>**
@@ -671,7 +670,7 @@ the following command-line options:
Name of a w file, which will contain the patch area information. Two
files will be created: <*name*> ``-lh.w`` and <*name*> ``-rh.w`` .
- The numbers in the files are patch areas in INLINE_EQUATION.
+ The numbers in the files are patch areas in :math:`\text{mm}^2`.
The source space vertices are marked with value 150.
**\---labeldir <*directory*>**
@@ -904,27 +903,27 @@ In the following, let
.. math:: G_k = [g_{xk} g_{yk} g_{zk}]
-denote the three consecutive columns of the gain matrix INLINE_EQUATION corresponding to
-the fields of three orthogonal dipoles at source space location INLINE_EQUATION.
+denote the three consecutive columns of the gain matrix :math:`G` corresponding to
+the fields of three orthogonal dipoles at source space location :math:`k`.
Further, lets assume that the source coordinate system has been
-selected so that the INLINE_EQUATION-axis points
-to the cortical normal direction and the INLINE_EQUATION plane
-is thus the tangent plane of the cortex at the source space location INLINE_EQUATION.
+selected so that the :math:`z` -axis points
+to the cortical normal direction and the :math:`xy` plane
+is thus the tangent plane of the cortex at the source space location :math:`k`
Next, compute the SVD
.. math:: G_k = U_k \Lambda_k V_k
-and let INLINE_EQUATION, where INLINE_EQUATION and INLINE_EQUATION are
+and let :math:`g_{1k} = u_{1k} \lambda_{1k}`, where :math:`\lambda_{1k}` and :math:`u_{1k}` are
the largest singular value and the corresponding left singular vector
-of INLINE_EQUATION, respectively. It is easy to see
-that INLINE_EQUATION is has the largest power
+of :math:`G_k`, respectively. It is easy to see
+that :math:`g_{1k}` is has the largest power
among the signal distributions produced by unit dipoles at source
-space location INLINE_EQUATION.
+space location :math:`k`.
-Furthermore, assume that the colums orthogonal matrix INLINE_EQUATION (INLINE_EQUATION) contain
+Furthermore, assume that the colums orthogonal matrix :math:`U_P` (:math:`U_P^T U_P = I`) contain
the orthogonal basis of the noise subspace corresponding to the signal
-space projection (SSP) operator INLINE_EQUATION specified
-with one or more ``--proj`` options so that INLINE_EQUATION.
+space projection (SSP) operator :math:`P` specified
+with one or more ``--proj`` options so that :math:`P = I - U_P U_P^T`.
For more information on SSP, see :ref:`CACCHABI`.
With these definitions the map selections defined with the ``--map`` option correspond
@@ -932,38 +931,38 @@ to the following
**\---map 1**
- Compute INLINE_EQUATION at each source space point.
+ Compute :math:`\sqrt{g_{1k}^T g_{1k}} = \lambda_{1k}` at each source space point.
Normalize the result so that the maximum values equals one.
**\---map 2**
- Compute INLINE_EQUATION at each source space point.
+ Compute :math:`\sqrt{g_z^T g_z}` at each source space point.
Normalize the result so that the maximum values equals one. This
is the amplitude of the signals produced by unit dipoles normal
to the cortical surface.
**\---map 3**
- Compute INLINE_EQUATION at each source space point.
+ Compute :math:`\sqrt{g_z^T g_z / g_{1k}^T g_{1k}}` at each source space point.
**\---map 4**
- Compute INLINE_EQUATION at each source space point.
+ Compute :math:`1 - \sqrt{g_z^T g_z / g_{1k}^T g_{1k}}` at each source space point.
This could be called the *radiality index*.
**\---map 5**
- Compute the subspace correlation between INLINE_EQUATION and INLINE_EQUATION: INLINE_EQUATION.
- This index equals zero, if INLINE_EQUATION is
- orthogonal to INLINE_EQUATION and one if INLINE_EQUATION lies
- in the subspace defined by INLINE_EQUATION. This
+ Compute the subspace correlation between :math:`g_z` and :math:`U_P`: :math:`\text{subcorr}^2(g_z , U_P) = (g_z^T U_P U_P^T g_z)/(g_z^T g_z)`.
+ This index equals zero, if :math:`g_z` is
+ orthogonal to :math:`U_P` and one if :math:`g_z` lies
+ in the subspace defined by :math:`U_P`. This
map shows how close the field pattern of a dipole oriented perpendicular
to the cortex at each cortical location is to the subspace removed
by the SSP.
**\---map 6**
- Compute INLINE_EQUATION, which is the fraction
+ Compute :math:`\sqrt{g_z^T P g_z / g_z^T g_z}`, which is the fraction
of the field pattern of a dipole oriented perpendicular to the cortex
at each cortical location remaining after applying the SSP a dipole
remaining
@@ -1151,7 +1150,7 @@ command-line options:
**\---label <*name*>**
Define an ROI. Several label files can be present. By default, the sources
- in the labels will have INLINE_EQUATION-shaped non-overlapping
+ in the labels will have :math:`\cos^2` -shaped non-overlapping
timecourses, see below.
**\---timecourse <*name*>**
@@ -1197,9 +1196,9 @@ Noise simulation
Noise is added to the signals if the ``--senscov`` and ``--nave`` options
are present. If ``--nave`` is omitted the number of averages
-is set to INLINE_EQUATION. The noise is computed
-by first generating vectors of Gaussian random numbers INLINE_EQUATION with INLINE_EQUATION.
-Thereafter, the noise-covariance matrix INLINE_EQUATIONis
+is set to :math:`L = 100`. The noise is computed
+by first generating vectors of Gaussian random numbers :math:`n(t)` with :math:`n_j(t) \sim N(0,1)`.
+Thereafter, the noise-covariance matrix :math:`C` is
used to color the noise:
.. math:: n_c(t) = \frac{1}{\sqrt{L}} \Lambda U^T n(t)\ ,
@@ -1210,31 +1209,31 @@ covariance matrix:
.. math:: C = U \Lambda^2 U^T\ .
Note that it is assumed that the noise-covariance matrix
-is given for raw data, *i.e.*, for INLINE_EQUATION.
+is given for raw data, *i.e.*, for :math:`L = 1`.
.. _CHDFIIII:
Simulated data
==============
-The default source waveform INLINE_EQUATION for
-the INLINE_EQUATION label is nonzero at times INLINE_EQUATION, INLINE_EQUATION with:
+The default source waveform :math:`q_k` for
+the :math:`k^{th}` label is nonzero at times :math:`t_{kp} = (100(k - 1) + p)/f_s`, :math:`p = 0 \dotso 100` with:
.. math:: q_k(t_{kp}) = Q_k \cos^2{(\frac{\pi p}{100} - \frac{\pi}{2})}\ ,
i.e., the source waveforms are non-overlapping 100-samples
-wide INLINE_EQUATION pulses. The sampling frequency INLINE_EQUATION.
-The source amplitude INLINE_EQUATION is determined
-so that the strength of each of the dipoles in a label will be INLINE_EQUATION.
+wide :math:`\cos^2` pulses. The sampling frequency :math:`f_s = 600` Hz.
+The source amplitude :math:`Q_k` is determined
+so that the strength of each of the dipoles in a label will be :math:`50 \text{nAm}/N_k`.
Let us denote the sums of the magnetic fields and electric
potentials produced by the dipoles normal to the cortical mantle
-at label INLINE_EQUATION **by INLINE_EQUATION. The simulated
+at label :math:`k` by :math:`x_k`. The simulated
signals are then:
.. math:: x(t_j) = \sum_{k = 1}^{N_s} {q_k(t_j) x_k + n_c(t_j)}\ ,
-where INLINE_EQUATION is the number of
+where :math:`N_s` is the number of
sources.
.. _CHDCFIBH:
@@ -1251,7 +1250,7 @@ waveform expression files consist of lines of the form:
Each file may contain multiple lines. At the end of the evaluation,
only the values in the variable ``y`` (``q`` )
are significant, see :ref:`CHDJBIEE`. They assume the role
-of INLINE_EQUATION to compute the simulated signals
+of :math:`q_k(t_j)` to compute the simulated signals
as described in :ref:`CHDFIIII`, above.
All expressions are case insensitive. The variables are vectors
@@ -1276,7 +1275,7 @@ The available variables are listed in :ref:`CHDJBIEE`.
The arithmetic expressions can use usual arithmetic operations
as well as mathematical functions listed in :ref:`CHDJIBHA`.
The arguments can be vectors or scalar numbers. In addition, standard
-relational operators ( <*, >, ==, <*=, >=) and their textual
+relational operators ( <, >, ==, <=, >=) and their textual
equivalents (lt, gt, eq, le, ge) are available. Table :ref:`CHDDJEHH` gives some useful examples of source waveform
expressions.
@@ -1288,32 +1287,32 @@ expressions.
Function Description
================ ===============================================================================================================================================================================================================================
abs(x) absolute value
- acos(x) INLINE_EQUATION
- asin(x) INLINE_EQUATION
- atan(x) INLINE_EQUATION
- atan2(x,y) INLINE_EQUATION
- ceil(x) nearest integer larger than *x*
- cos(x) INLINE_EQUATION
- cosw(x,a,b,c) INLINE_EQUATION-shaped window centered at INLINE_EQUATION with a rising slope of length INLINE_EQUATION and a trailing slope of length INLINE_EQUATION.
- deg(x) The value of INLINE_EQUATION converted to from radians to degrees
- erf(x) INLINE_EQUATION
- erfc(x) INLINE_EQUATION
- exp(x) INLINE_EQUATION
- floor(x) Largest integer value not larger than INLINE_EQUATION
- hypot(x,y) INLINE_EQUATION
- ln(x) INLINE_EQUATION
- log(x) INLINE_EQUATION
- maxp(x,y) Takes the maximum between INLINE_EQUATION and INLINE_EQUATION
- minp(x,y) Takes the minimum between INLINE_EQUATION and INLINE_EQUATION
- mod(x,y) Gives the remainder of INLINE_EQUATION divided by INLINE_EQUATION
+ acos(x) :math:`\cos^{-1}x`
+ asin(x) :math:`\sin^{-1}x`
+ atan(x) :math:`\tan^{-1}x`
+ atan2(x,y) :math:`\tan^{-1}(^y/_x)`
+ ceil(x) nearest integer larger than :math:`x`
+ cos(x) :math:`\cos x`
+ cosw(x,a,b,c) :math:`\cos^2` -shaped window centered at :math:`b` with a rising slope of length :math:`a` and a trailing slope of length :math:`b`.
+ deg(x) The value of :math:`x` converted to from radians to degrees
+ erf(x) :math:`\frac{1}{2\pi} \int_0^x{\text{exp}(-t^2)dt}`
+ erfc(x) :math:`1 - \text{erf}(x)`
+ exp(x) :math:`e^x`
+ floor(x) Largest integer value not larger than :math:`x`
+ hypot(x,y) :math:`\sqrt{x^2 + y^2}`
+ ln(x) :math:`\ln x`
+ log(x) :math:`\log_{10} x`
+ maxp(x,y) Takes the maximum between :math:`x` and :math:`y`
+ minp(x,y) Takes the minimum between :math:`x` and :math:`y`
+ mod(x,y) Gives the remainder of :math:`x` divided by :math:`y`
pi Ratio of the circumference of a circle and its diameter.
rand Gives a vector of uniformly distributed random numbers from 0 to 1.
- rnorm(x,y) Gives a vector of Gaussian random numbers distributed as INLINE_EQUATION. Note that if INLINE_EQUATION and INLINE_EQUATION are vectors, each number generated will a different mean and variance according to the arguments.
- shift(x,s) Shifts the values in the input vector INLINE_EQUATION by the number of positions given by INLINE_EQUATION. Note that INLINE_EQUATION must be a scalar.
- sin(x) INLINE_EQUATION
- sqr(x) INLINE_EQUATION
- sqrt(x) INLINE_EQUATION
- tan(x) INLINE_EQUATION
+ rnorm(x,y) Gives a vector of Gaussian random numbers distributed as :math:`N(x,y)`. Note that if :math:`x` and :math:`y` are vectors, each number generated will a different mean and variance according to the arguments.
+ shift(x,s) Shifts the values in the input vector :math:`x` by the number of positions given by :math:`s`. Note that :math:`s` must be a scalar.
+ sin(x) :math:`\sin x`
+ sqr(x) :math:`x^2`
+ sqrt(x) :math:`\sqrt{x}`
+ tan(x) :math:`\tan x`
================ ===============================================================================================================================================================================================================================
.. _CHDDJEHH:
@@ -1325,7 +1324,7 @@ expressions.
============================================= =======================================================================================================================
q = 20e-9*sin(2*pi*10*x) A 10-Hz sine wave with 20 nAm amplitude
q = 20e-9*sin(2*pi*2*x)*sin(2*pi*10*x) A 10-Hz 20-nAm sine wave, amplitude modulated sinusoidally at 2 Hz.
- q = 20e-9*cosw(t,100,100,100) INLINE_EQUATION-shaped pulse, centered at INLINE_EQUATION with 100 ms leading and trailing slopes, 20 nAm amplitude.
+ q = 20e-9*cosw(t,100,100,100) :math:`\cos^2`-shaped pulse, centered at :math:`t` = 100 ms with 100 ms leading and trailing slopes, 20 nAm amplitude.
q = 30e-9*(t > 0)*(t <* 300)*sin(2*pi*20*x) 20-Hz sine wave, 30 nAm amplitude, cropped in time to 0...300 ms.
============================================= =======================================================================================================================
--
Alioth's /usr/local/bin/git-commit-notice on /srv/git.debian.org/git/debian-med/python-mne.git
More information about the debian-med-commit
mailing list