Matlab Triangle Marker

Based on your measurements and Matlab experiments, determine the rate at which the mag-nitude of the coe cients, c. MarkerFaceColor-- Specifies the color of the face of filled markers MarkerSize -- Specifies the size of the marker in points In addition, you can specify the LineStyle , Color , and Marker properties instead of using the symbol string. Example of triangle drawn using MATLAB. Note that the ``. You draw the shapes by overwriting pixel values. In this page, I would post a quick reference for Matlab and Octave. MarkerEdgeColor - specifies the color of the marker or the edge color forfilled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). 中查找 Various line types, plot symbols and colors may be obtained with PLOT(X,Y,S) where S is a character string made from one element from any or all the following 3 columns: b g r c m y blue green red cyan. dotted : circle o dash dot ‐. scatter3(x,y,z) creates a scatter plot with markers at the locations specified by x, y, and z. A scalar specifying the size of the marker in points. Now the_xd_cell and the_yd_cell are cell arrays containing the xdata and ydata of the objects that have markers v (downward triangle) or ^ (upward triangle) or s (square). Ternary Plots in MATLAB ®. none - specifies no color, which makes nonfilled markers invisible. Set the marker edge color to blue and set the marker face color using an RGB color value. why i use the 9. 6, with Show Me version 1. This property contains the vertex normals for the patch. Please note that although Triangle is freely available, it is copyrighted by the author and may not be sold or included in commercial products without a license. Object Hierarchy. There are various forms of this, but the idea is to take a window of points in your dataset, compute an average of the points, then shift the window over by one point and repeat. These examples show how to create line plots, scatter plots, bubble charts, and density plots in geographic coordinates. This displays the Chart Tools, adding the Design, Layout, and Format tabs. 2-D and 3-D Plots Plot continuous, discrete, surface, and volume data; Formatting and Annotation Add labels, adjust colors, define axis limits, apply lighting or transparency, set camera view. I have it so that each point on the triangles created are marked with a blue dot. Other combinations such as [color][marker][line] are also supported, but note that their parsing may be ambiguous. - horchler Sep 8 '14 at 19:09. The default marker size=1 is shown in the top left corner. You do not need to specify both characteristics (marker and color). We're going to develop three ways to define and graph them. Description. MATLAB concepts Course © Bar-Ilan University Computer Center April 10 Session 2 page 5 13 Markers. Parent handle. The width (or height) in some distance measure, such as inches or meters, of the object we are using as a marker. % therefore, the 3rd argument into ploterr is empty, and only 2 handles % (1 for the datapoints, 1 for the y errorbars) are returned. You draw the shapes by overwriting pixel values. The default ColorOrder is listed in the table above for color systems where the default is blue for one line, and for multiple lines, to cycle through the first six colors in the table. Surface normal vectors. This example shows how to animate the orientation of an oscillating device. It consists of two characters. In cases where they do not, pad the Faces matrix with NaNs. It gives me. 2D PLOTTING IN MATLAB Solid line dot axis('equal') xlabel('x') FUNCTION plot() plot(y) plots the columns of y versus the index of each value. Corresponding elements in X, Y, and S determine the location and area of each marker. The type command can be used to display the contents of the file using scientific notation. The MATLAB plot gallery provides examples of many ways to display data graphically in MATLAB. 1-4) Find out where to look for instruction on how to use each component of MATLAB, and where to find help when you need it. Triangle (version 1. To define a patch with faces that do not close, add one or more NaN to the row in the Vertices matrix that defines the vertex you do not want connected. Introduction to MATLAB 1. This displays the Chart Tools, adding the Design, Layout, and Format tabs. But I'd prefer \addplot or \addplot+[] because this way, all predefined styles are used and you don't have to worry about selecting them. I would like to create a legend for the plot. MarkerFaceColor-- Specifies the color of the face of filled markers MarkerSize -- Specifies the size of the marker in points In addition, you can specify the LineStyle , Color , and Marker properties instead of using the symbol string. o x + * s d v ^ < > p h. marker, and color, specified as a. To do this, we used the subplot command. dash − dot line c cyan + plus −− dashed line m magenta * star y yellow s square k black d diamond w white ∨ triangle down ∧ triangle up < triangle left. VertexNormals matrix. Marker fill color, specified as 'auto', an RGB triplet, a hexadecimal color code, a color name, or a short name. Load the carsmall data set and fit a linear regression model of the mileage as a function of model year, weight, and weight squared. To select a single data marker, click that data marker two times. None is the default which means 'nothing', however this table is referred to from other docs for the valid inputs from marker inputs and in those cases None still means 'default'. 中查找 b blue. % therefore, the 3rd argument into ploterr is empty, and only 2 handles % (1 for the datapoints, 1 for the y errorbars) are returned. The answer to that is NO: user-defined markers must be drawn or image'd in to existence in each required location. thingSpeakScatter(X,Y) displays a scatter plot with circles at the locations specified by the vectors X and Y, where the data value markers are the default size and color. Not sure why is that, but fixing it is very easy with the markeredgecolor='r' setting. none - specifies no color, which makes nonfilled markers invisible. The color of the marker or the edge color for filled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). The data in rpy_9axis. This MATLAB function plots the boundary of the shape and returns the line handle. It is very usefull to quickly specify such basic line properties. There are various forms of this, but the idea is to take a window of points in your dataset, compute an average of the points, then shift the window over by one point and repeat. The "-ascii" qualifier is used when creating a text or a data file. Use the Matlab FFT function to nd the transform of a triangular wave. 'auto' — MATLAB controls the value of the object's Marker property. e --rs option in plot]. All of the loop structures in matlab are started with a keyword such as for, or while and they all end with the word end. Creating a plot that uses differing line types and data point symbols makes the plot much easier for other people to use. This asset is a Marker-Less Augmented Reality Example using the actual environment as input instead of printed square markers and display. Line's parent. For example, gplot(A,XY,'r-*') uses red lines for edges and red asterisks for nodes. Now the_xd_cell and the_yd_cell are cell arrays containing the xdata and ydata of the objects that have markers v (downward triangle) or ^ (upward triangle) or s (square). rotate(h,direction,alpha) rotates the graphics object h by alpha degrees. MATLAB gives handle to every entity automatically. Now i want to draw these plots in matlab. The markers are searched in the following order: the upward triangle marker (Marker1), then the circle marker (Marker2), then the downward triangle marker (Marker3), and finally the star shape marker (Marker4). The official color for Loyola Green is given as RGB:0-104-87, and Loyola Gray is given as RGB:200-200-200 (found on Loyola's Logos/University Signature page. Point x Cross Marker Description S Square D Diamond ^ Upward pointing triangle v Downward pointing triangle > Right pointing triangle Marker Description < Left pointing triangle P Pentagram h Hexagram. This can occur if you create a Line, set hold to on, freeze axis scaling ( axis manual ), and then create a longer Line. Here musyn is used to design a robust controller for a two mass-spring-damper system with uncertainty in the spring stiffness connecting the two masses. When Triangle reads a. To make an existing figure window the current figure, you can click the mouse while the pointer. This project describes a new approach for echocardiography video image segmentation. Setting this property on an existing scattergroup object has no effect. MATLAB executes this routine after setting all other scattergroup properties. In fact, only one marker. Learn X in Y minutes: where x=Matlab offers a simple and straightforward cheat sheet of Matlab commands and other basics. gplot(A,XYCoords,LineSpec) additionally uses LineSpec to specify the line type, marker symbol, and color to use in the plot. RGB = insertShape(I,shape,position) returns a truecolor image with shape inserted. • Creation in MATLAB: '' Examples: 'r' or '. If you have a discrete variable (like gender), you can use the GROUP= option to color markers. An Example of Plotting Spheres in Matlab This example will produce this 3-D plot. At the beginning of each Matlab session, it is important to select your working folder. Each of them is optional. At the beginning of each Matlab session, it is important to select your working folder. MATLAB Cheat Sheet for Data Science - London Sc hool of Economics. Customizing a Plot: Line Types, Color, Marker Types: Plots can be completed in the Command Window, if they are really simple. Handles can also be given by users as >> hl = plot (x, y) % plots line and returns FPN i. The default marker size=1 is shown in the top left corner. Note that MATLAB draws the point marker (specified by the '. MATLAB Central contributions by monkey_matlab. Doing Physics with Matlab XY Plots 3 Fig. It has to be given as a concatenated string containing information about color, line style or markers. Matlab has a useful command for visualizing data: plot. To select a single data marker, click that data marker two times. Setting Default Properties. You have to have an idea of what kind of relationship might exist between the input data (x) and output data (y). StackedLineProperties properties control the appearance and behavior of individual lines in a stacked plot. Answered 2nd Y Axis problem - All works until I add the 2nd data set I think that the problem is that the plot function resets a lot of the axes properties that you set when you created the 2nd axe. This example shows how to animate the orientation of an oscillating device. If I'm not mistaken, MATLAB mostly defines the length of the edge of the bounding rectangle (more or less the diameter). Another reason for the attractiveness of Matplotlib lies in the fact that it is widely considered to be a perfect alternative to MATLAB, if it is used in combination with Numpy and Scipy. If you have a discrete variable (like gender), you can use the GROUP= option to color markers. % therefore, the 3rd argument into ploterr is empty, and only 2 handles % (1 for the datapoints, 1 for the y errorbars) are returned. This interface can take a bit. Parent handle of axes, hggroup, or hgtransform object. Note that MATLAB draws the point marker (specified by the '. Note that special symbols can be defined via the STIX math font , e. To create the illusion of perspective, the ball which is closer to the viewer should be larger. MATLAB中plot函数和line函数作用有区别吗? v triangle (down) ^ triangle (up) < triangle (left) If you do not specify a marker type, PLOT uses no. The default value for MarkerSize is six points (1 point = 1/72 inch). Setting this property on an existing surface object has no effect. The default value for MarkerSize is 6 points (1 point = 1/72 inch). It is also object-oriented and can be used in an object oriented way. Scribd is the world's largest social reading and publishing site. When I want to label some data points, I use the text function. square s solid (default) ‐ diamond d pentagram (5-point star) p color code hexagram (6-point star) h red r plus + green g cross x blue b asterisk * cyan c N-pointing triangle ^ magenta m S-pointing triangle v. Matlab plots are much clearer than the matplotlib one. MATLAB enables you to define many characteristics, including. addition, multiplication) are programmed to deal with matrices when required. Exception: If line is given, but no marker, the data will be a line without markers. To define a patch with faces that do not close, add one or more NaN to the row in the Vertices matrix that defines the vertex you do not want connected. This week's entry caught my attention for two reasons. MATLAB displays the context menu whenever you right-click over the patch. To change the units, set the Units property. I have it so that each point on the triangles created are marked with a blue dot. Each row of Tri defines a single triangular face by indexing into the vectors or matrices that contain the X, Y, and Z vertices. Go to Home Layout Default. Other combinations such as [color][marker][line] are also supported, but note that their parsing may be ambiguous. Doing Physics with Matlab XY Plots 2 An m-script is used to calculate a function and to draw the graph in a figure window. Perform mixed-mu synthesis with the musyn command in the Robust Control Toolbox™. why i use the 9. pdf), Text File (. Though, at many times it is desirable to customize the plot with titles, labels, and such, so it makes more sense to do this in a script. MarkerEdgeColor — Specifies the color of the marker or the edge color for filled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). The preceding statments create the following plot. The legend command shows the markers (data points) and line (fit) as a separate legend entry. To do this, we used the subplot command. Write a MATLAB script to plot the magnitude of where. each member of the cell array is a list of edge neighbors (the order is not defined). Sometimes we want to place several plots in a single figure (plotting window). ' symbol) at one-third the specified size. Triangle (version 1. An RGB triplet is a three-element row vector whose elements specify the intensities of the red, green, and blue components of the color. (3) plot함수를 호출한다. H = SUBPLOT(m,n,p), or SUBPLOT(mnp), breaks the Figure window into an m-by-n matrix of small axes, selects the p-th axes for for the current plot, and returns the axis handle. It has to be given as a concatenated string containing information about color, line style or markers. Set the property to the indices of the data points where you want to display markers. It is very usefull to quickly specify such basic line properties. q be able to calculate some simple waveforms. For example, gplot(A,XY,'r-*') uses red lines for edges and red asterisks for nodes. If you want unfilled markers, you have the option of using line() instead to draw the shape into place. Other combinations such as [color][marker][line] are also supported, but note that their parsing may be ambiguous. Marker face color, specified as 'none', 'auto' or a MATLAB ColorSpec (Color Specification). eg if the camera width is 320 px then a very close object might cover 320px in a few feet but if it was far away then it might be hundreds of feet to travel the full 320px view of the camera. o x + * s d v ^ < > p h. Marker outline color, specified as the comma-separated pair consisting of 'MarkerFaceColor' and a character vector, a string scalar, an RGB triplet, a hexadecimal color code, or 'none'. It is used along with NumPy to provide an environment that is an effective open source alternative for MatLab. 0 release, some three-dimensional plotting utilities were built on top of Matplotlib's two-dimensional display, and the result is a convenient (if somewhat limited) set of tools for. In this page, I would post a quick reference for Matlab and Octave. Do you speak MATLAB! 2. The is a predefined cycle. It has to be given as a concatenated string containing information about color, line style or markers. MATLAB draws a smoother graph − Adding Title, Labels, Grid Lines and Scaling on the Graph MATLAB allows you to add title, labels along the x-axis and y-axis, grid lines and also to adjust the axes to spruce up the graph. here frequency w is in radian/sec not f (in HZ) so w will give you the no. If X or Y is a matrix, the vector is plotted versus the rows or columns of the matrix, whichever line up. Set the property to the indices of the data points where you want to display markers. MIMO controller synthesis for uncertain systems. 14)MathWorks® 3. What follows comes from MATLAB's help function in MATLAB R2009a (some paragraphs have been snipped out). Re: Marker-based Augmented Reality with OpenCV There are different ways it can be done, but to find square or rectangle shaped markers you could try the "squares. The "-ascii" qualifier is used when creating a text or a data file. txt) or read online for free. Marker fill color, specified as 'auto', an RGB triplet, a hexadecimal color code, a color name, or a short name. Marker Specifiers 标号 Specifier Marker Type + Plus sign * Asterisk. Sometimes we want to place several plots in a single figure (plotting window). If the line has markers, then the line width also affects the marker edges. You could have also used the plot command this way plot(x,sin(x)) without explicitly storing the function values in y. Note that the ``. For a list of all markers see the matplotlib. MarkerEdgeColor — Specifies the color of the marker or the edge color for filled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). It provides many tools for data analysis and visualization. siliconwafer: A square is not enough, since each cell has a different size. The color selection is optional. Of course, setting manual limits prevents the axes limits from growing and shrinking automatically with the data, which can actually be a very useful feature sometimes. Matlab ploting. How to make a Basic Shapes in MATLAB ®. Matlab Basics. The MathWorks, Inc. Marker size. In fact, only one marker. Free weather graph download - weather graph script - Top 4 Download - Top4Download. Marker outline color, specified as the comma-separated pair consisting of 'MarkerFaceColor' and a character vector, a string scalar, an RGB triplet, a hexadecimal color code, or 'none'. You can view and download source code for each plot, and use it in your. Provide us with some contact information and we'll be in touch! 1 (844) 334-0085 • W248 N5499. Marker size. plotDiagnostics(mdl,plottype,Name,Value) specifies the graphical properties of diagnostic data points using one or more name-value pair arguments. none specifies no color, which makes nonfilled markers invisible. o x + * s d v ^ < > p h. This page describes how to specify the properties of lines used for plotting. % MATLAB [x, y] = meshgrid(-2:0. The graph in Figure 2 was generated by taking the FFT a triangular wave 10 periods in length. marker can be either an instance of the class or the text shorthand for a particular marker. streamslice(X,Y,U,V) draws well spaced streamlines (with direction arrows) from vector volume data U, V. fplot(___,LineSpec) specifies the line style, marker symbol, and line color. Note that MATLAB draws the point marker (specified by the '. (Octave is a GNU program which is designed to provide a free tool that work like Matlab. Plot aesthetics. The default value for MarkerSize is 6 points (1 point = 1/72 inch). It has to be given as a concatenated string containing information about color, line style or markers. square s solid (default) ‐ diamond d pentagram (5-point star) p color code hexagram (6-point star) h red r plus + green g cross x blue b asterisk * cyan c N-pointing triangle ^ magenta m S-pointing triangle v. For example, '-r' plots a red line. Examples of different shapes. ˇ For example, for a solid line, a plus data marker, and the red colour, the specifier would be '- + r Trevor Spiteri Plotting in MATLAB. Matlab Plot을 할때 포인트의 마커를 지정하고 싶은 경우가 많은데요 Matlab 매뉴얼에 마커의 모양과 색상을 지정하는 방법을 정리한 부분이 있네요. % therefore, the 3rd argument into ploterr is empty, and only 2 handles % (1 for the datapoints, 1 for the y errorbars) are returned. auto uses the same color as the EdgeColor property. This property contains. ' or ' ' char(N) where 0 < N < 65535 is the ascii code •double(character) get ascii code of character 4 Strings • String = an array of characters. The symbols can appear in any order. The LineSpec is an optional argument that can be used inside a plot command to customize each new line aspect. Surface Properties. dash − dot line c cyan + plus −− dashed line m magenta * star y yellow s square k black d diamond w white ∨ triangle down ∧ triangle up < triangle left. Now its time to implement all three essentials components (color, marker, and line specifier) for decorating the MATLAB graph. matplotlib: Set markers for individual points on a line circle marker v triangle_down marker ^ triangle_up marker < triangle_left marker > triangle_right marker 1. Closed amroamroamro opened this issue Dec 31, 2015 · 1 comment Closed. Create an obtuse triangle. why i use the 9. Each of them is optional. How to import every data set as. Point x Cross =====以上为非filled记号,以下为filled记号===== o Circle 圈 s or 'square' Square 方 d or 'diamond' Diamond 菱形 ^ Upward-pointing triangle 上三角. markers documentation. To select a single data marker, click that data marker two times. The default value for MarkerSize is six points (1 point = 1/72 inch). e --rs option in plot]. Marker size. - horchler Sep 8 '14 at 19:09. A directed graph can be plotted by using triangle markers, in this case right facing triangle marker. See markers for more information about marker styles. However, I am interested to obtain the marker and line in a single legend entry so that the total number of legend entries could be reduced from 8 to 4 in my case. Here is what Matlab says about it. none specifies no color, which makes nonfilled markers invisible. The left and bottom elements define the distance from the lower left corner of the container (typically a figure, panel, or tab) to the lower left corner of the position boundary. The three corresponding normal vectors of the corner's sides form a basis (x, y, z) in which to represent the direction of an arbitrary incoming ray, [a, b, c]. So you can use 1/255[255,0,0] to get the color of red to use as a color in MATLAB. Hand crafted in St Andrews and can be customised to have your innitials on the back etc. This is done by using the subplot command. Create a line plot and use the LineSpec option to specify a dashed green line with square markers. Plot line marker types have remained essentially unchanged in user-facing functionality for the past two+ decades, allowing the well-known marker types (. dashdot -- dashed (none) no line magenta yellow k w black white. Use a blue triangle as a data marker and include the lines connecting the data points. Dsp Using Matlab® - 2 - Free download as Powerpoint Presentation (. TikZ on the other hand mostly uses some kind of radius (distance between the center and a corner/edge of the marker). I'll be starting with the simplest kind of figure: a line plot, with points plotted on an X-Y Cartesian plane. Any matrix you want to associate with the patch object. If you want to repeat some action in a predetermined way, you can use the for loop. It draws data points using "markers" in 2-D space, connecting them with lines; however, for this challenge, let's ignore the lines and use only markers. The triangle pattern has many different color themes, and one will be randomly selected on each load. The LineSpec is an optional argument that can be used inside a plot command to customize each new line aspect. For this purpose when i use the commands then matlab takes the all data sets as a single set. Lines 1 through 4 come out the way I want, but lines 5 and 6 are dashed with the default line marker circle and triangle. 'manual' — You control the value of the Marker property manually, either by setting the value of the Marker property directly on the object, or by including a marker in the LineSpec argument when you call a plotting function. Parent handle of axes, hggroup, or hgtransform object. I can plot circle markers on a map as in this example. The default value for MarkerSize is 6 points (1 point = 1/72 inch). MarkerEdgeColor —Specifies the color of the marker or the edge color for filled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). surf(x,y,z) 3-D shaded surface plot. MATLAB Documentation (p. Though, at many times it is desirable to customize the plot with titles, labels, and such, so it makes more sense to do. Connect the midpoints of each of the nine white triangles to form 27 smaller downward-pointing triangles. Here's how one can use those colors in MATLAB. How to make a Basic Shapes in MATLAB ®. MarkerEdgeColor - specifies the color of the marker or the edge color forfilled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). The Figure 1 shows an example of a shape (triangle) with the three coordinates (in red) that can be used as reference to draw it. I was using the chains library to produce the diagram. The symbols can appear in any order. matplotlib update plot in loop (6) I'm having issues with redrawing the figure here. The width (or height) in some distance measure, such as inches or meters, of the object we are using as a marker. allYears = 1991:2015 %will create a row vector of…. The data in rpy_9axis. 1) using the m-script ex1. Plotly Express is the easy-to-use, high-level interface to Plotly, which operates on "tidy" data. % * MATLAB에서의 그래픽 % % * 2차원 그래픽 % - 2차원 그래픽을 그리는 절차 % (1) plot할 데이터를 준비한다 % (2) 데이터를 plot할 그림 창을 선택하고 single graphic으로 할건지 multi graphic % 으로 할건. 2D PLOTTING IN MATLAB Solid line dot axis('equal') xlabel('x') FUNCTION plot() plot(y) plots the columns of y versus the index of each value. But is there any way of replacing these with a custom symbol?. Solution Note that with bitmap output, the filled symbols 15-18 may render without proper anti-aliasing; they can appear jagged, pixelated, and not properly centered, though this varies among platforms. Applied Machine learning principles to large-scale datasets for bio-marker discovery, determining mode of action of drug compounds and unravelling disease mechanisms. It has to be given as a concatenated string containing information about color, line style or markers. The subplot command has the following syntax:. 09/05/2008 at the beginning of the period H. Subplot helps have plots side by side on the same sheet. Corresponding elements in X, Y, and S determine the location and area of each marker. You simply put the name of your function in single quotes. After 30 folds, the thickness is 84. I am using Comsol Livelink for Matlab to program a comsol. Here is a sample Planar Straight Line Graph (PSLG), a Delaunay triangulation of its vertices, a constrained Delaunay triangulation of the. ColorSpec defines the color to use. In this section, we will show you how to plot data, modify plots and save your work. These commands are also in the script file noisyData. But is there any way of replacing these with a custom symbol?. The distance (in inches or meters) of the camera to the marker in step 1. Today I wish to show how we can achieve similar effects with plot markers. There is no magical function that can give you this relationship. Start studying Ch. MarkerEdgeColor - specifies the color of the marker or the edge color forfilled markers (circle, square, diamond, pentagram, hexagram, and the four triangles). I'll be starting with the simplest kind of figure: a line plot, with points plotted on an X-Y Cartesian plane. In fact, only one marker. o x point circle x-mark plus : solid dotted -. Handles can also be given by users as >> hl = plot (x, y) % plots line and returns FPN i. [IMGPROC] drawMarker with triangle-up marker type #5905. See markers for more information about marker styles. High-level language of technical computing Development environment for engineers, scientists Interactive tools for design. facealpha = 0. Plot a histogram of the residuals of a fitted linear regression model. The handle of the object whose CreateFcn is being executed is accessible only through the root CallbackObject property, which you can query using gcbo. It draws data points using "markers" in 2-D space, connecting them with lines; however, for this challenge, let's ignore the lines and use only markers. To force fimplicit3 to assign x, y, or z to its corresponding axis, create the symbolic function to plot, then pass the symbolic function to fimplicit3. The following tables list the symbols you use to define the line style, color, and marker. In fact, only one marker. Any help would be appreciated!. If a figure window exists, MATLAB uses that window for graphics output. Use this option after any of the input argument combinations in the previous syntaxes. The for loop allows us to repeat certain commands. triangle_left marker > triangle_right. I checked the format options for each axis and did not see an option for markers. point * asterisk o circle + plus sign Specifier Marker Type. in sine function in MATLAB it is always sin(wt). The LineSpec is an optional argument that can be used inside a plot command to customize each new line aspect. fplot(___,LineSpec) specifies the line style, marker symbol, and line color. 2" (line 25 of code) is commented out, point markers sit nicely at the top of other objects, as intented. This is why the units are in points squared. Moreover, the fundamental operators (e. Perform mixed-mu synthesis with the musyn command in the Robust Control Toolbox™. Note that MATLAB draws the point marker (specified by the '. For example, an A triangle has the circle marker on the left side (assuming the apex is oriented at the top), whereas the A' triangle has the circle marker on the right side. High-level language of technical computing Development environment for engineers, scientists Interactive tools for design. Create your artwork using the appropriate Adobe Illustrator icon template file. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under  Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over $1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: