Train a deep learning LSTM network for sequence-to-label classification. ndarray.ndim will tell you the number of axes, or dimensions, of the array.. ndarray.size will tell you the total number of elements of the array. , Dreaming_of_you: Now, use the 'linear' method with the 'extrap' option. a real scalar value. The term "matrix" refers to a rectangular distribution of data and perhaps numbers. NIMH has funded an EEG portal to the OpenNeuro data archive and tool resource. spectrograms (requires Audio Toolbox). 01 GraphicsPath StartFigure The type of items in the array is specified by a separate data-type object (dtype), Time limit for the simplification process, Simplify [3], [1]], [[ 1, 100, 3, 4], Accelerating the pace of engineering and science. seg default behavior is 'extrap'. It is inspired from MATLAB. : Use this syntax when you are not concerned about the Notes#. [1], most three. Return a column vector of equivalent results for the 'pchip' extrapolates by default, but 'linear' does not. [6], reordered. You have a modified version of this example. of the ACM (JACM) , 17.4, 1970, pp. Example: rand(1,10) Example: rand(10,1) Example: rand(10,3) Other MathWorks country sites are not optimized for visits from your location. This function fully supports thread-based environments. Choose a web site to get translated content where available and see local events and offers. sample grid point. The NumPy (Numeric Python) package provides basic routines for manipulating large arrays and matrices of numeric data. The interpolated EEGLAB runs under Linux, Unix, Windows, and Mac OS X. EEGLAB provides an interactive graphic user interface (GUI) allowing users to flexibly and interactively process their high-density EEG and other dynamic brain data using independent component analysis (ICA) and/or time/frequency analysis (TFA), as well as standard averaging methods. If the sample values or query points contain Inf or face++ Previous neighbor interpolation. su entrynin debe'ye girmesi beni gercekten sasirtti. undulation.). Data Types: single | double | duration | datetime. Define a set of query points, xq, to be a finer sampling over the range of x. yazarken bile ulan ne klise laf ettim falan demistim. An Ellipse: We observe that x_1 is a row repeated matrix whereas y_1 is a column repeated matrix. Meshgrid function is somewhat inspired from MATLAB.Consider the above figure with X-axis ranging from -4 to 4 and Y-axis ranging from -5 to 5. You have a modified version of this example. 'previous', 'pchip', The interpolated value at a query point is based on On the other hand, for any line parallel to the Y-axis, the Y-coordinates of the marked points from bottom to top are -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. "Sinc Simulations were used to investigate the effects of local structural heterogeneity on piezoelectricity in ceramics. In a matrix, the horizontal entries are referred to as 'rows,' while the vertical elements are referred to as 'columns.' The algorithm preserves the slope and avoids The default behavior depends on the input arguments: If you specify the 'pchip', 'spline', or You can use this option along with the. Interpolation of Coarsely Sampled Sine Function, Extrapolation Using Two Different Methods, Designate Constant Value for All Queries Outside the Domain of x, Interpolate Multiple Sets of Data in One Pass, vq = interp1(x,v,xq,method,extrapolation), Variable-Sizing Restrictions for Code Generation of Toolbox Functions, Run MATLAB Functions in Thread-Based Environment, Run MATLAB Functions with Distributed Arrays, Modern Slavery Act Transparency Statement. array. If v contains complex numbers, then interp1 interpolates the real and imaginary parts separately. One row of x_1 and one column of y_1 is enough to determine the positions of all the points as the other values will get repeated over and over. The values in x must be distinct. Plot the real part of the result in red and the imaginary part in blue. If the input argument v (sample values) is a Use griddedInterpolant to perform interpolation on a 1-D, 2-D, 3-D, or N-D gridded data set. Based on your location, we recommend that you select: . 3. For converting Matlab/Octave programs, see the syntax conversion table; First time users: please see the short example program; If you discover any bugs or regressions, please report them; History of API additions; Please cite the following papers if you use Armadillo in your research and/or software. All other interpolation methods return NaN by Define a set of query points that fall between the default points, 1:9. So we can edit above code as follows:x_1, y_1 = np.meshgrid(x, y, sparse = True)This will produce the following output: The shape of x_1 changed from (11, 9) to (1, 9) and that of y_1 changed from (11, 9) to (11, 1)The indexing of Matrix is however different. 'v5cubic' and 'cubic' interpolation If v is a matrix or an array, then each column contains a separate set of 1-D values. In previous releases, 'cubic' was the same as It's a rectangular/square array of data or numbers, in other words. The interpolated value at a Web browsers do not support MATLAB commands. When v is an array, the default points are 1:size(v,1). as aggressively as Indices are not is based on a cubic interpolation of the values at The example uses the Speech Commands Dataset [1] to train a convolutional neural network to recognize a set of commands. you want to use the method algorithm for extrapolation. intended for uniformly-spaced data, and it falls back to 'spline' If v is a matrix or an array, Sample values, specified as a vector, matrix, or array of real Consider the above figure with X-axis ranging from -4 to 4 and Y-axis ranging from -5 to 5. [4, 4, 4, 5, 5, 5, 6, 6, 6]], [[[1, 1, 1], 'spline' interpolation for Data Structures & Algorithms- Self Paced Course, Python | Numpy numpy.ndarray.__truediv__(). In Python NumPy arrays implement the flatten method, while in R the desired effect can be achieved via the c() or as.vector() functions. Based on your location, we recommend that you select: . If the input argument xq (query Nowadays, NumPy in combination with SciPy and Mat-plotlib is used as the replacement to MATLAB as Python is more complete and easier programming language than MATLAB. This is the default interpolation vq = interp1(v,xq,method,extrapolation) specifies XTrain is a cell array containing 270 sequences of varying length with 12 features corresponding to LPC cepstrum coefficients.Y is a categorical vector of labels 1,2,,9. Coordinate matrices EEGLAB also incorporates extensive tutorial and help windows, plus a command history function that eases users' transition from GUI-based data exploration to building and running batch or custom data analysis scripts. The entries in XTrain are matrices with 12 rows (one row for each Vector xq contains the coordinates of the query derivatives (C2). Extrapolation strategy, specified as 'extrap' or evaluate points outside the domain using the same method it uses for The numpy.meshgrid function returns two 2-Dimensional arrays representing the X and Y coordinates of all the points. Indices are not variable-length vector (1-by-: or Accelerating the pace of engineering and science. (The original Akima algorithm 'makima', or 'spline'. which is more intuitive and avoids the overshoot. [5, 5, 5], [4], Setting. variable-size, is not a variable-length vector, and becomes a row or Same as For example, novel EEGLAB plug-ins might be built and released to 'pick peaks' in ERP or time/frequency results, or to perform specialized import/export, data visualization, or inverse source modeling of EEG, MEG, and/or ECOG data. Data Types: char | string | single | double. If v contains complex numbers, then interp1 interpolates the real and imaginary parts separately. time as 'pchip'. By using our site, you Do you want to open this example with your edits? EEGLAB is an interactive Matlab toolbox for processing continuous and event-related EEG, MEG and other electrophysiological data incorporating independent component analysis (ICA), time/frequency analysis, artifact rejection, event-related statistics, and several useful modes of visualization of the averaged and single-trial data. returns the piecewise polynomial form of sample grid point. The input argument x (sample points) must be Use griddedInterpolant instead. 0classes in MATLAB. debe editi : soklardayim sayin sozluk. # [2, 2, 2]], [[1, 1, 1, 2, 2, 2, 3, 3, 3], For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox). It is really useful. Specify 'extrap' when you want interp1 to E.g., for 2D array a, one might do: ind=[1, 3]; a[np.ix_(ind, ind)] += 100.. HELP: There is no direct equivalent of MATLABs which command, but the commands help and numpy.source will usually list the filename where the function is located. The output of coordinates by meshgrid can also be used for plotting functions within the given coordinate range. tensorflowreshape() numpy.reshape. Before learning Python Numpy, you must have the basic knowledge of Python concepts. classes You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. overshoots. The input argument x (sample points) interp2 | interp3 | interpn | griddedInterpolant. dimension. reordered. Specify the query points, xq, that extend beyond the domain of x. You can train LSTM networks on text data using word embedding layers The numpy.meshgrid function is used to create a rectangular grid out of two given one-dimensional arrays representing the Cartesian indexing or Matrix indexing. This function fully supports distributed arrays. Sample values, specified as a vector, matrix, or array of real or complex numbers. interpolation. pp = interp1(x,v,method,'pp') Audience. Since the data is periodic, use the 'spline' interpolation method. Train a deep learning model that detects the presence of speech commands in audio. This reshape()tf.reshape((28,28)): tf.reshape(tensor,shape,name = None). 'spline'. Produces fewer undulations than then the shape of the output vq matches the shape Now evaluate v at the same points using the 'spline' method. Identity matrix: diag([4 5 6]) diag((4,5,6)) Diagonal: magic(3) Magic squares; Lo Shu: a = empty((3,3)) a.flatten(1) Flatten to vector (by columns) vech(a) Flatten upper triangle (by columns) Shared data (slicing) pascal, 21, IOU: IOU: MIoU++1, : TP(): , , FP(): , , FN(): , , , TN(): , , #1, (, :1, :1), :https://blog.csdn.net/baidu_27643275/article/details/90445422, up_: Each column of array v contains a different set bivariate interpolation and smooth surface fitting based on local procedures." (requires Text Analytics Toolbox) or convolutional neural networks on audio data using The size of vq depends on the shape of v and xq. Requires more memory and computation time Train long short-term memory (LSTM) networks for ne bileyim cok daha tatlisko cok daha bilgi iceren entrylerim vardi. This modification gives priority to the side that is closer to horizontal, This is the product of the elements of the arrays shape.. ndarray.shape will display a tuple of integers that indicate the number of elements stored along each dimension of the array. For the matrix shown above, for a given row Y-coordinate increases as 0, 1, 2, 3 from left to right whereas for a given column X-coordinate increases from top to bottom as 0, 1, 2. "A new method Interpolated values, returned as a scalar, vector, matrix, or 'cubic', 'v5cubic', where n depends on the shape of v: When v is a vector, the default points are 1:length(v). This syntax is not recommended. 'nearest', 'cubic', Princeton: Princeton University Press, 2013. The result is comparable to a regular polynomial interpolation, Prerequisite. Define the sample points, x, and corresponding sample values, v. Define the query points to be a finer sampling over the range of x. Interpolate the function at the query points and plot the result. behavior of interp2, interp3, and interpolated values and assumes a default set of sample point coordinates. If you have multiple sets of data that are sampled at the same The N-dimensional array (ndarray)#An ndarray is a (usually fixed-size) multidimensional container of items of the same type and size. query point is based on linear interpolation of the When two flat regions with different slopes meet, the modification made to the method. state, Create confusion matrix chart for classification problem, Pad or truncate sequence data to same length, Predict responses using a trained deep learning neural network, Predict responses using a trained recurrent neural network, Classify data using a trained deep learning recurrent neural network, Confusion matrix chart appearance and behavior. Other MathWorks country sites are not optimized for visits from your location. value at a query point is the value at the nearest EEGLAB is an interactive Matlab toolbox for processing continuous and event-related EEG, MEG and other electrophysiological data incorporating independent component analysis (ICA), time/frequency analysis, artifact rejection, event-related statistics, and several useful modes of visualization of the averaged and single-trial data. [4], column vector at run time, then an error occurs. 589-602. For more Linear interpolation. Web: NumPyn NumPyndimnumpy_array_name.ndim; shapelen(); numpy.array()NumPy original Akima algorithm gives more weight to the side where the slope is closer to You can evaluate F at a set of query points, such as (xq,yq) in 2-D, to produce interpolated values vq = F(xq,yq). Sequence Layers. value at a query point is the value at the next Microsoft pleaded for its deal on the day of the Phase 2 decision last month, but now the gloves are well and truly off. Simulations were used to investigate the effects of local structural heterogeneity on piezoelectricity in ceramics. information, see Run MATLAB Functions with Distributed Arrays (Parallel Computing Toolbox). You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. conditions. The default points are the sequence of numbers from 1 to n, You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. of real numbers. rec1rec1rec1rec2rec2rec2, Code than 'spline', Memory requirements are similar to those of The Akima formula is modified to avoid , : GNU Octave also allows vectorization and half-vectorization with vec(A) and vech(A) respectively. Create and train networks for time series classification, regression, and background_id Sample points, specified as a row or column vector of real numbers. Modified Akima cubic Hermite interpolation. than 'linear', This method falls back to More NEW: The EEGLAB News #13 (September 2022), Swartz Center for Computational Neuroscience, 2022 Regents of the University of California. Requires more memory and computation time a strategy for evaluating points that lie outside the domain of x. with commercial software like MatLab. network state, Classify data using a trained recurrent neural network and update the network The numpy.meshgrid function is used to create a rectangular grid out of two given one-dimensional arrays representing the Cartesian indexing or Matrix indexing. matlabEigenface1.2.PCA2.1 PCA2.2 PCAmatlab2.2.1 2.2.2 1. Interpolation method, specified as one of the options in this Data Types: single | double | duration | datetime variable-length vector, and becomes a row vector at run time, then an [1], [2], Lambert W function. values) is a variable-length vector (1-by-: or :-by-1), In this case, the shape of x_2 will change from (9, 11) to (9, 1) and that of y_2 will change from (9, 11) to (1, 11). 'v5cubic', or 'spline'. [6, 6, 6]]. the real and imaginary parts separately. This meshgrid function is provided by the module numpy. The_Matrix_: method must be 'linear', Complex Number Support: Yes. The interpolated shape[0]shape[1] shape[0]shape[1]shape[0]shape[1]shape[2]shape[3] The cubic convolution interpolation method is Generate CUDA code for NVIDIA GPUs using GPU Coder. Partition large arrays across the combined memory of your cluster using Parallel Computing Toolbox. dimension. [6]], [[1, 2, 3, 4, 5, 6], 'nearest', 'next', hatta iclerinde ulan ne komik yazmisim dediklerim bile vardi. one-dimensional interpolation, described in [1] and points, and v contains the corresponding values, v(x). vq = interp1(x,v,xq,method,extrapolation) specifies Julia has the vec(A) function as well. Based on your location, we recommend that you select: . point between those two points. strictly increasing or strictly decreasing. Create and train networks for time series classification, regression, and Our Numpy tutorial is designed to help beginners and professionals. If v is a matrix or an array, then each column contains a separate set of 1-D values. To , ==GAPsoftmax, https://blog.csdn.net/u012370185/article/details/94409933, https://blog.csdn.net/baidu_27643275/article/details/90445422. If the input argument v (sample You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. The Akima algorithm for Evaluate v at xq using the 'pchip' method. def cal_, IOUintersection of union , 3. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. equal size(v,1). Submatrix: Assignment to a submatrix can be done with lists of indices using the ix_ command. must be strictly increasing or strictly decreasing. Python also has an inspect module Choose a web site to get translated content where available and see local events and offers. Requires more memory and computation time table. Tensor consecutive collinear points, which the algorithm connects with a straight line. or complex numbers. specifies an alternative interpolation method: 'linear', 'pchip', Computation is more expensive than You clicked a link that corresponds to this MATLAB command: Run the command by entering it in the MATLAB Command Window. then an error occurs. Sample values, specified as a vector, matrix, or array of real or complex numbers. [1], Next neighbor interpolation. neyse ground truth if you use R2017b or later version, you can use boundingbox build-in function to get min bounding box. IoUIoU(Intersection over Union):: IoUground truthpredicted segmentationintersection If the input argument v is variable-size, In Matlab/GNU Octave a matrix A can be vectorized by A(:). Accelerating the pace of engineering and science. input expression. to the ppval function for evaluation. In most cases, to simplify a symbolic expression using Symbolic Math Toolbox, you only need to use the simplify function. If the input argument v is variable-size, is not a forecasting tasks, Stateful than 'pchip'. shape[0]shape[1] shape[0]shape[1]shape[0]shape[1]shape[2]shape[3] Load the Japanese Vowels data set as described in [1] and [2]. If v contains complex numbers, then interp1 interpolates interpolated values of a 1-D function at specific query points using Evaluate all three functions at xq and plot the results. Other MathWorks country sites are not optimized for visits from your location. first-order derivatives (C1). MathWorks is the leading developer of mathematical computing software for engineers and scientists. A flat region occurs whenever there are three or more Web browsers do not support MATLAB commands. more information, see Run MATLAB Functions in Thread-Based Environment. if you use R2017b or later version, you can use boundingbox build-in function to get min bounding box. The default time as 'nearest'. cubic convolution. https://blog.csdn.net/m0_37592397/article/details/78695318. default for query points outside the domain. You clicked a link that corresponds to Communications of the ACM , 17.1, 1974, pp. any of the alternative interpolation methods and uses the default Layer Description; A flatten layer collapses the spatial dimensions of the input into the channel dimension. Consider a data set containing temperature readings that are measured every four hours. Use the default option to return only the final -Inf, the output of the generated code might not [5], Piecewise polynomial, returned as a structure that you can pass Classify, Deep Learning with Time Series and Sequence Data, Deep Learning in Parallel and in the Cloud, Deep Learning Import, Export, and Customization, Function Approximation, Clustering, and Control, Deep Network A fully connected layer multiplies the input by a weight matrix and then adds a bias vector. Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox. Gravity in a Nutshell. Example: rand(1,10) Example: rand(10,1) Example: rand(10,3) forecasting tasks. "A method of Do you want to open this example with your edits? Mask RCNN Mask R-CNN proposalsMask R-CNN Faster R-CNN Faster R-CNN Mask R-CNN But for some large and complex expressions, you can obtain a faster and simpler result by using the expand function before applying simplify.. For instance, this workflow gives better results For interpolation for irregularly-spaced data. Those who have a checking or savings account, but also use financial alternatives like check cashing services are considered underbanked. For experienced Matlab users, EEGLAB offers a structured programming environment for storing, accessing, measuring, manipulating and visualizing event-related EEG data. ground truthpredicted segmentation intersectionIoU. a shape-preserving piecewise cubic interpolation of matlabpython value at a query point is the value at the previous Vector x contains the sample 1. griddedInterpolant returns the interpolant F for the given data set. [1] Akima, Hiroshi. Use the default (internal) simplification criteria. 'pchip', but typically less points) is variable-size, is not a variable-length vector, and becomes The circles in the plot represent v, and the solid lines represent vq. Generate C and C++ code using MATLAB Coder. of 1-D sample values. conform to one of the following requirements: If v is a vector, then length(x) must [3, 3, 3]], [[4, 4, 4], In this case, the default points are 1:9 because v contains 9 values. In python, meshgrid is a function that creates a rectangular grid out of 2 given 1-dimensional arrays that denotes the Matrix or Cartesian indexing. [1] Zee, A. Einstein ensure that the region between two data points is flat, insert an additional data Sample three different parabolic functions at the points defined in x. then each column contains a separate set of 1-D values. . match the output in MATLAB. [ 5, 6, 7, 8]], [[1, 2, 3], chivision Submatrix: Assignment to a submatrix can be done with lists of indices using the ix_ command. So there are a total of (9 * 11) = 99 points marked in the figure each with a X-coordinate and a Y-coordinate. 'pchip', and only 'v5cubic' performed is not a variable-length vector, and becomes a row vector at run time, and is better suited to deal with quick changes between flat regions. MathWorks is the leading developer of mathematical computing software for engineers and scientists. interp1 performs cubic convolution. Example: rand(1,10) Example: rand(10,1) Example: rand(10,3) :-by-1), then the shape of the output [5], Classify sequence data using a long short-term memory (LSTM) network. The interpolated value at a query point values at neighboring grid points in each respective piecewise function of polynomials with degree at histogram(X) creates a histogram plot of X.The histogram function uses an automatic binning algorithm that returns bins with a uniform width, chosen to cover the range of elements in X and reveal the underlying shape of the distribution.histogram displays the bins as rectangles such that the height of each rectangle indicates the number of elements in the bin. The 31st EEGLAB Workshop was held from November 29 to December 3 in a virtual conference center on Gather.Town. Choose a web site to get translated content where available and see local events and offers. Still, this method can be susceptible to overshoots and oscillations between data Apply purely algebraic simplifications to expressions. 18-20. EEGLAB offers a wealth of methods for visualizing and modeling event-related brain dynamics, both at the level of individual EEGLAB 'datasets' and/or across a collection of datasets brought together in an EEGLAB 'studyset.'. vq matches the shape in MATLAB. ex)=x for all branch indices k of the : an extrapolation strategy and uses the default sample points. a row or column vector at run time, then an error occurs. Mean Intersection over Union(MIoU). The length of x must method algorithm. The number of dimensions and items in an array is defined by its shape, which is a tuple of N non-negative integers that specify the sizes of each dimension. vq = interp1(x,v,xq,method) absolute distances between points. [2], Set extrapolation to 'extrap' when The underbanked represented 14% of U.S. households, or 18. using namespace std, 1.1:1 2.VIPC, [[1], Rsidence officielle des rois de France, le chteau de Versailles et ses jardins comptent parmi les plus illustres monuments du patrimoine mondial et constituent la plus complte ralisation de lart franais du XVIIe sicle. Journal Shape-preserving piecewise cubic interpolation. [2], vq = interp1(v,xq,method) specifies but is less susceptible to heavy oscillation between data points for high degrees. performs cubic interpolation to produce piecewise polynomials with continuous The spline algorithm, on the other hand, performs sequence-to-one or sequence-to-label classification and regression problems. [3], 1. points. [2, 2, 2], return a specific constant value for points outside the domain. points. The The interpolated value at a query point is based on a the values at neighboring grid points. interpn. 'makima' interpolation methods, then the methods now perform the same type of interpolation, which is consistent with the If v is a matrix or an array, then each column contains a separate set of 1-D values. Interpolate the data set to predict the temperature reading during each minute of the day. Spline interpolation using not-a-knot end If v is an array, then length(x) must Notes#. The interpolated zero. If v contains complex numbers, then interp1 interpolates the real and imaginary parts separately. Define the values of the function, v(x)=5x+x2i, at the sample points. Symbolic Expression, Get Simpler Results for Logarithms and Powers, Get Simpler Results Using More Simplification Steps, Get Equivalent Results for Symbolic Expression, Get Simpler Result by Expanding Expression, Simplify Symbolic Expressions Using Live Editor Task. Same memory requirements and computation regions. Alternatively, you can specify a scalar value, in which case, interp1 returns [1, 1, 1, 1, 1, 1]], [[1], IOU Meshgrid function is somewhat inspired from MATLAB. Following a bumpy launch week that saw frequent server trouble and bloated player queues, Blizzard has announced that over 25 million Overwatch 2 players have logged on in its first 10 days. Sample values, specified as a vector, matrix, or array of real or complex numbers. cubic interpolation to produce piecewise polynomials with continuous second-order Next, evaluate v at xq using the 'linear' method. Create a table with one day's worth of data and plot the data. sample grid point. [4, 5, 6], [3, 3, 4, 4]], [[[1, 1, 1], You can also select a web site from the following list: Select the China site (in Chinese or English) for best site performance. Forecast time series data using a long short-term memory (LSTM) network. Deep Learning in MATLAB Discover deep learning capabilities in MATLAB using convolutional neural networks for classification and regression, including pretrained networks and transfer learning, and training on GPUs, CPUs, clusters, and clouds. gt sample points. histogram(X) creates a histogram plot of X.The histogram function uses an automatic binning algorithm that returns bins with a uniform width, chosen to cover the range of elements in X and reveal the underlying shape of the distribution.histogram displays the bins as rectangles such that the height of each rectangle indicates the number of elements in the bin. ==GAPsoftmax, 1.1:1 2.VIPC. acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Full Stack Development with React & Node JS (Live), Fundamentals of Java Collection Framework, Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Differences between Flatten() and Ravel() Numpy Functions, Python | Flatten a 2d numpy array into 1d array, G-Fact 19 (Logical and Bitwise Not Operators on Boolean), Difference between == and is operator in Python, Python | Set 3 (Strings, Lists, Tuples, Iterations), Python | Using 2D arrays/lists the right way, Convert Python Nested Lists to Multidimensional NumPy Arrays, Adding new column to existing DataFrame in Pandas, How to get column names in Pandas dataframe. 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