TableForm is a simple alternative to Grid. endobj Let's say I want to make a title "Bravo" on top of the table(which is center-aligned). Can you suggest a neat way to achieve it? Note: To remove quotes in title you can use: Update: Post-processing the output of Jen's method to center the label and remove the divider line: Here is another approach using only the functionality of TableForm itself: This nests the list deep enough inside {{ }} so that the column labels provided by TableHeadings are applied only to a single column containing the actual table. Why typically people don't use biases in attention mechanism? stream << /Length 4 0 R In [1]:= Out [1]//TableForm= A multiplication table for the numbers 1 through 7. Find centralized, trusted content and collaborate around the technologies you use most. Generating points along line with specifying the origin of point generation in QGIS. I usually do something like: ExportString[myTable, "TSV"]//CopyToClipboard with the table in the variable myTable. How can I plot these data in a 3D like form? You must use the double equal sign when specifying an equation for Mathematica to work on. "//TableForm") that I'd like to export as an image if possible. What does "up to" mean in "is first up to launch"? An addition table for the numbers 1 through 7. In your second graph you see that the data coordinates are 1 to 5 for x and 1 to 5 for y. Marco Thiel, University of Aberdeen - Dept. How a top-ranked engineering school reimagined CS curriculum (Ep. Example. Since g(x, y) = 0 defines y as a differentiable function of x, calculation of that derivative proceeds just as above: d dx [f(x, y(x))] =f(x, y) ( x x , y x ) = f(x, y) (1, y'(x)). Learn how, Wolfram Natural Language Understanding System, whether to arrange dimensions as rows or columns, how many spaces to put between entries in each dimension. But even from the graph, the precise value of k for that curve is not clear. pXc$/JEYt4MAYX,TnW{df)ep)H/f Which was the first Sci-Fi story to predict obnoxious "robo calls"? /BitsPerComponent 1 evaluate f at every candidate (x, y) that solves the system (3) the largest value that results is the maximum of f subject to g(x, y)= 0 the smallest resulting value is the minimum of f subject to the constraint. Why in the Sierpiski Triangle is this set being used as the example for the OSC and not a more "natural"? Learn how, Wolfram Natural Language Understanding System, Fast Introduction for Programmers: Associations. If so, you could substitute that expression into the level curve equation f(x, y) = k, where k corresponds to the level curve tangent to the constraint curve at each point of intersection. With Inactive, it is easier than ever to create tables of values. Revolutionary knowledge-based programming language. Effect of a "bad grade" in grad school applications. To create a new file and put an expression (mathematica output) in the file wiping out previous entriesin the file: expr >>myfile (same as Put[data, "myfile"])To append an expression to an existing file: expr >>>myfile (same as PutAppend[data, "myfile"]) Dataset gives a quick, left-aligned view of tabular data in an array: When the data is a list of associations, Dataset displays the association keys as column headings: For detailed control of formatting, use Grid. stream Bill White Bill White. "TableForm." View. % Connect and share knowledge within a single location that is structured and easy to search. How a top-ranked engineering school reimagined CS curriculum (Ep. Try f?r*3HRVcI}|,L`2V7#wX>}Xf$t ?i#J4Gbt N,PLbg"$(g28tiY!A1LJ{'RyvN *|A1%&aw(#EQ"1$tS,FIl}! Make Addition and Multiplication Tables With Inactive, it is easier than ever to create tables of values. 4 0 obj >> ?#KdJ'qvyovEMLEKXG!B/|! Ue1mgnEp{bApvhm{C\hoN/.dM#Z:R{(e_xb8}yPA8A%|>Dvy"e!2|gg:.gL=@ u6[LQeAxtgF(DT. 565), Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI. What are the advantages of running a power tool on 240 V vs 120 V? Details and Options Examples open all Basic Examples (1) Show vector, matrix and general arrays in tabular form: In [1]:= In [2]:= Out [2]= In [3]:= Out [3]= In [4]:= In [5]:= rev2023.4.21.43403. Welcome to the Mathematica project of Fall 2008! I recognize this was 8 whole years ago, but did you ever get a sufficient answer? This is the third of an apparently endless series of talks on how to use Mathematica in general relativity. >> It also contains the assigment at the very end. How to combine several legends in one frame? ), Needs["Graphics`ImplicitPlot`"];ContourPlot[(x^2 + y^2)^(-1/2), {x, -3, 3}, {y, -3, 3}, ContourShading -> False,PlotPoints -> 60, ContourSmoothing -> Automatic];Plot[{(32/3 - 2 x^4/3)^(1/4), -(32/3 - 2 x^4/3)^(1/4)}, {x, -2, 2}, PlotStyle -> RGBColor[0, 0, 1]];Show[%, %%, AspectRatio -> Automatic, AxesLabel -> {x, y}]. /XObject << /x6 6 0 R >> 1,759 13 13 silver badges 14 14 bronze . How about saving the world? >> To find the points of intersection of the constraint curve 2 x 4 + 3 y 4 = 32 and the level curves of the function f, it might be feasible to solve g(x, y) = 0 for y as a function of x. 222.) Thanks. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. 565), Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI, ImagePadding or other means of getting whitespace when the PlotLabel is a Column or Grid, An issue with formulas typesetting in Grid & Column, Incrementally revealing Grid (or TableForm) entries. There is a hack that has some added advantages - in particular as a by-product you also get a vector graphics version of your plot that can be resized while keeping all relative sizes at the correct proportions:. ]}, Enable JavaScript to interact with content and submit forms on Wolfram websites. It probably just needs some Map or MapAt command, maybe combined with a Transpose in order to apply to rows instead of columns - but I can't figure out the correct syntax for addressing an entire column (or row).. 5 0 obj To learn more, see our tips on writing great answers. Elegant, readable, and works with in-line code, e.g., when manipulating a list before plotting it, like multiplying the x-column by two: ListPlot[Map[MapAt[Function[x, 2 x], #, 1] &, list]], Mathematica: How to apply function to a certain column of a table. If total energies differ across different software, how do I decide which software to use? For example, consider a list with depth two and a title. And I want to create a table from list, i.e.. Content Discovery initiative April 13 update: Related questions using a Review our technical responses for the 2023 Developer Survey, Excel: sum of a column, but apply a function to each cell before sum. Is it safe to publish research papers in cooperation with Russian academics? /MediaBox [ 0 0 612 792 ] 1988. 4. Here is data on objects and their dimensions: Use the Alignment option to specify how items in columns should align: Add a row of column headings to the grid. This will generate a table without a title. The obstacle to doing so by hand is the difficulty (or even impossibility) of solving (3). So it's a simple matter to modify only that column: will apply f to each element of the nth column of mat. endstream /Group << To find all candidates for extreme values of f subject to a constraint g(x, y) = 0, solve the system of equations (3)f(x, y) = g(x, y),g(x, y)= 0for x, y, and . Thanks for pointing it out. Curated computable knowledge powering Wolfram|Alpha. % (1988). )@wy?U>{u.t%#;!mh$mmU.vi 2. MapAt function accepts the following Part specification: Another compact solution I found is using Map and MapAt: Now apply the function f to the second column: Thanks for contributing an answer to Stack Overflow! To produce the figure, hit the Enter key (at the lower right of the keyboard) after the last command of the following Mathematica routine. TableForm What "benchmarks" means in "what are benchmarks for?". In row n, for n>1, the first two terms are 1 and n-1, and the last two are F(n) and F(n), where F = A000045 (Fibonacci numbers). /OJ$+3 x5 1Hy.a{zua(=ePX0V6; N zca!{k`Y2~23~e_Cfh@>T}T[ux] m}D1=f 8q 6e}0a8pbN3aHxf'wsi`i?P 10#XxU1v2{X6$g:2Y|%@fzu4#K|g^9%v]00ex@1bE Revolutionary knowledge-based programming language. The Mathematica differentiation command has the form D[F[x,y,],z], where the last variable specifies the one with respect to which to carry out the differentiation. /S /Transparency Looking for job perks? Mathematica is a registered trademark of Wolfram Research, Inc. When a gnoll vampire assumes its hyena form, do its HP change? >> {{1,2,3,4},{10,2,5,6,5},{20,1,3,4,7},{30,3,1,6,9}} Wolfram Language & System Documentation Center BUILT-IN SYMBOL TableForm TableForm [ list] prints with the elements of list arranged in an array of rectangular cells. Chain Rule 5.3 then makes it easy to differentiate g(x, y) = 0 with respect to x: (1)0 = d dx [g(x, y)] =g(x, y) ( x x , y x ) = g(x, y) (1, y'(x)). Why does Acts not mention the deaths of Peter and Paul? To solve the Lagrange-multiplier system above, use the following command, which invokes the built-in Solve command. /Length 2180 In more complicated cases, though it can save labor.) % Thebundleofpackagescanbedownloadedfrom https://github.com/EverettYou/Mathematica-for-physics Toinstalleverything: 1.unzipthisrepositoryinafolder, 2.openinstall.minMathematica, 3.clicktheRunPackagebuttontothetopright, 4.quitMathematicaandrestart. https://reference.wolfram.com/language/ref/TableForm.html. Is there a generic term for these trajectories? Software engine implementing the Wolfram Language. Yeah, that works. Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles. When defining functions in Mathematica, the right subscripted underscore character must appear with the initial occurrence of each variable to the left of the := sign. Suppose then that g y != 0, so that by the implicit-function theorem the constraint equation g(x, y) = 0 defines y as a differentiable function of x. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests. This holds in particular at any point P at which f has an extreme value on the constraint curve g(x, y) = 0. endobj . Finding distribution parameters of a gaussian mixture distribution Reading in scientific notation from C++ to Mathematica How to draw Fractal images of iteration functions on the Riemann sphere? Thanks, but this is not the answer I I wanted, probably as I did not explain it well. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. Was Aristarchus the first to propose heliocentrism? 12 /CS /DeviceRGB show complete Wolfram Language input Related Examples Technology-enabling science of the computational universe. eW 2>8o$8 Id70"rh"-7\ tO5'23u 7QHwc)w0#{@E'h Qo{WUi/,i92@PVA`$=[`UHF#"6}8o8%ck n@s x,F)}JERxdN]0{. /Type /XObject xeMN0>,A"ob/THB@I ne{(naBh' Instant deployment across cloud, desktop, mobile, and more. )USchA MX The hyperbolic space is a conformally compact Einstein manifold, Short story about swapping bodies as a job; the person who hires the main character misuses his body. Have fun! Redo the last table starting fromx= 0:01 and ending atx= 0:001 in steps of 0:001 : fx, 0.01, 0.001,-0.001g. A multiplication table for the numbers 1 through 7. 3. LINKS: Clark Kimberling, Table of n, a(n) for n = 1..10000 Revolutionary knowledge-based programming language. Part of the issue with the data is that it should form a complete square or rectangle of numbers. how to apply AccountingForm to TableView without affecting the row/column labels? Out[4]= {20, 50, 80} In[5]:= table//TableForm Out[5]//TableForm= 1 20 3 4 50 6 7 80 9 Share. BTW: If one is just after a multiplication of, say, column 2 of 3 total, a matrix multiplication A.DiagonalMatrix[{1,s,1}] will also do the trick. Note: the /. Say to the i-th column of a (m x n) table. How about saving the world? If you want the frame, too, this might work: Great for images. Retrieved from https://reference.wolfram.com/language/ref/TableForm.html, @misc{reference.wolfram_2022_tableform, author="Wolfram Research", title="{TableForm}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/TableForm.html}", note=[Accessed: 01-May-2023 Technology-enabling science of the computational universe. Not the answer you're looking for? Start with some data Here is data on objects and their dimensions: In [9]:= Format the data as a grid Make a grid of the data: Out [10]= Specify how the data in the grid should align Use the TableAlignments option to specify how items in columns should align: Out [11]= >> endobj The Mathematicadifferentiation command has the formD[F[x, y,. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, Another elegant way to do it is like the cumulative functions in C: table[[All, 2]] *= 10. >> Curated computable knowledge powering Wolfram|Alpha. Content in a mathematica file is organized as cells. For this derivative to be 0, note that the gradient of f is either 0 or else must also be perpendicular to the vector (1, y'(x)). Subject Wolfram Technology > Front End > Saving and Exporting Downloads TableExport.nb (11 KB) - Mathematica Notebook So consider the problem of finding the maximum and minimum values of a function f on a curve with equation g(x, y) = 0. I want to put a title into a table. ]}, @online{reference.wolfram_2022_tableform, organization={Wolfram Research}, title={TableForm}, year={1988}, url={https://reference.wolfram.com/language/ref/TableForm.html}, note=[Accessed: 01-May-2023 3 0 obj Learn more about Stack Overflow the company, and our products. Moreover, such elimination is not possible for most constraint functions g. However, not only have we met the idea of g(x, y) = 0 implicitly defining y as a differentiable function of x, but in Section 4.5 we even developed tools to study such functions. Can you suggest a neat way to achieve it? How should I write a function to be used in Apply in Mathematica? All rights reserved, The method of Lagrange multipliers is useful for finding the extreme values of a real-valued function f of several real variables on a subset of n-dimensional real Euclidean space determined by an equation g(x) = 0. /Subtype /Image Let's say I want to make a title "Bravo" on top of the table (which is center-aligned). Follow answered Dec 31, 2010 at 16:07. This notebook illustrates how to handle the problem. Column lxfZ"K_D +H (URhi?SFP/M;nd0 xm|p{6US]vX.m hD-cLV[z*:! Is this plug ok to install an AC condensor? What is Wario dropping at the end of Super Mario Land 2 and why? To subscribe to this RSS feed, copy and paste this URL into your RSS reader. To complete the solution to the example, just compute the value of f at the candidates Mathematica found. x\[s8~@Qd$UVx=dh9+QInyLR4}C\$< )/sO^^-0x,_k17 R 0>K9|$?S_;7#&'j($fgr O_ngv[n6W_Wt:?L',+m=( @`x,XZ;/*0>80{?MV~IjU?Z Actually I just want to multiply all elements in that column with a scalar, but the application of a general function would be fine as well. Make the headings bold and extend the second heading into the third and fourth columns with SpanFromLeft: Add a column of row headings to the grid. I am aware of the use of TableForm, and I don't want to add an extra in the first row. Grid[{TableForm[paretoPickF2[newlist, #, .5, Less]] & /@ {2, 3, 4}}, Dividers -> All] Tags: Filtering List Manipulation Performance Tuning. What were the most popular text editors for MS-DOS in the 1980s? Two years ago I talked about the built-in capabilities for handling tensors. 8 0 obj By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Have fun! Simone. The preeminent environment for any technical workflows. So, for instance, will apply Sin[Cos[#]]& to each element of the second column, while, will multiply each element on the second column by s, One versatile approach is to use ReplacePart. Print["x", "", "y", "", " f(x, y)"]Print["========", "", "========", "", "=========="]{x, y, F[x, y]}/.candidates//TableForm, x y f(x, y) SequenceForm x y f(x, y), ======== ======== ========== SequenceForm ======== ======== ==========. FindCycle not working as expected for multigraph How to add lines in TableForm How to get short definition of all built in Mathematica Functions? It is not clear whether you want to modify the existing table, or to create a new table with modifications, leaving the original intact). Find the maximum and minimum of fon the circle x 2 + y 2 = 16, if f(x, y) = 2x - y.Solution. myData = {{0, 1, 2, 3, 4}, {10, 2, 5, 6, 5}, {20, 1, 3, 4, 7}, {30, 3, 1, 6, 9}}; Community posts can be styled and formatted using the. Asking for help, clarification, or responding to other answers. The function CycleGraph, which you are using, is a built-in function and is not understood by the Combinatorica package. Try it! Central infrastructure for Wolfram's cloud products & services. << Instant deployment across cloud, desktop, mobile, and more. F[x_, y_] := 2 x - yG[x_, y_] := x^2 + y^2 - 16gradf = {D[F[x, y], x], D[F[x, y], y]};gradg = {D[G[x, y], x], D[G[x, y], y]};Print["grad f = ", gradf]Print["grad g = ", gradg], grad f = { 2 , - 1 } SequenceForm grad f = 2 -1, grad g = { 2 x , 2 y } SequenceForm grad g = 2 x 2 y. /Type /Group /Interpolate true MIP Model with relaxed integer constraints takes longer to solve than normal model, why? Contact a Wolfram expert. Use MathJax to format equations. Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles. Revolutionary knowledge-based programming language. This notebook will be your guide to get started. SpanFromAbove Is it safe to publish research papers in cooperation with Russian academics? Products& Services Wolfram|One Mathematica Wolfram|Alpha Notebook Edition Finance Platform System Modeler Russell is devoted to the study of all aspects of Bertrand Russell's thought as well as his life, times and influence. TableFormWolfram Language Documentation - DatasetWolfram Language Documentation TableForm[list] prints with the elements of list arranged in an array of rectangular cells. . Thus, if f is nonzero, then it is parallel to g, that is. . Software engine implementing the Wolfram Language. Connect with users of Wolfram technologies to learn, solve problems and share ideas, Hi, I have a set of data in the table format I have export of a PNG file working fine for a plot. << Looking for job perks? What is the most elegant way to display multiple graphs with a common title? Wolfram Natural Language Understanding System. On what basis are pardoning decisions made by presidents or governors when exercising their pardoning power? Adding list of list to a list Test for group isomorphism and construct automorphism groups 9 0 obj TextString can not convert general TableForm, Equalizing the column widths in the rows below the title row of a grid, Extracting arguments from a list of function calls, The hyperbolic space is a conformally compact Einstein manifold, Tikz: Numbering vertices of regular a-sided Polygon, tar command with and without --absolute-names option. Thanks! I looked up the possible options for TableForm, but I could not find a relevant one. Central infrastructure for Wolfram's cloud products & services. The preeminent environment for any technical workflows. I was missing the nested map ( /@ ) inside the MapAt in my own attempts. Mathematica can compute the gradients of f and g by symbolic differentiation. w[n_]:=(2-(-1))/n; c[k_]:=(-1+(1/2)*w[n])+(k-1)w[n]; h[k_]:=5-c[k]^2; Table[GeneralizedBarChart[Table[{c[k], h[k], w[n]},{k, 1, n}]],{n, 5, 15, 5}] 3. Central infrastructure for Wolfram's cloud products & services. Improve this answer. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. Conjecture: a(n)/n -> sqrt(2)., and -1 < sqrt(2)-a(n)/n < = -1+sqrt(2) for n >= 1. If you work on a project, save it frequently and make backups. Making statements based on opinion; back them up with references or personal experience. (There are two preliminary partial figures first, which then combine to give the final figure. Ak@>IDVZ(^daL]+mzX\}ag!2%5yZ)LfJf\ep!{R"J76LmW>;-eM@rYL{I8G58"x!T|\AA1>h4 << /Type /Page For me I wanted x={1,2,3,4} and y={10,20,30}. From: Mathematica by Example (Sixth Edition), 2022 View all Topics Add to Mendeley About this page CONSEQUENCES OF {D [0,1], V {0,1}}} THEORY Tableform - an overview | ScienceDirect Topics Tableform The result of using TableForm is not a list (or table), and calculations on it using commands, such as Map, cannot be performed. Browse other questions tagged. Otherwise, it is hard to interpret what the data means. stream This notebook will be your guide to get started. Using Mathematica on Lagrange-multiplier ProblemsCopyright 1997, 1998, 2000 by James F. Hurley, Department of Mathematics, University of Connecticut, Storrs, CT 06269-3009. MatrixForm, Enable JavaScript to interact with content and submit forms on Wolfram websites. /Contents 3 0 R My question is rather simple. /Height 557 o/ LZ6[?qF 0d$ {nYJ-2q,CipK[!t#aNYC5|L.;_8R12tV The coordinates of vectors are in braces, with commas between them. /f-0-0 5 0 R TableForm [list] This will generate a table without a title. Wolfram Language & System Documentation Center. Apply EuclideanDistance at a certain level in Mathematica, How to insert a column into a matrix, the correct Mathematica way, Multiple statements in mathematica function. What were the most popular text editors for MS-DOS in the 1980s? SE?IgH.ac1 ht8YH "2p>a94;=& 9c&17&}I'! Wolfram Language. /Filter /FlateDecode WolframAlpha.com WolframCloud.com All Sites & Community Resources. >> To learn more, see our tips on writing great answers. (For most simple problems, using Mathematica as an alternative to hand calculation of the gradients probably doesn't save enough time to be worthwhile. The preeminent environment for any technical workflows. (2)f(x, y) = g(x, y) for some real number !=0.If f is 0, then (2) still holds: = 0 makes it true.This leads to the Lagrange multiplier algorithm.Lagrange Multiplier Algorithm 10.2. Input all of the following in one cell as written and evaluate it. Wolfram Language & System Documentation Center. Revolutionary knowledge-based programming language. Technology-enabling science of the computational universe. Central infrastructure for Wolfram's cloud products & services. /Filter /FlateDecode I would like to apply a function to a specific column of a table. 3. /Resources 2 0 R Add a comment 2 Answers Sorted by: 1 Here is a code I wrote in Mathematica to perform Newton's Method. To begin, be careful when using TableForm. p*3,++"" Sa1("\*S1kE%joT[sYFR*h|j2NT>UDSNT>UFReL.U*xEsHT.U7HoL #g0r'J For example, to apply f to column 3 of mat: The following multiplies each entry by 10: However, a 'quick' way to do this it as follows: (Unlike the first method, all entries in column 3 of mat are now modified. Sorry I missed that. How might I export a table (or data as a Grid) in an image file? endobj Wolfram Research (1988), TableForm, Wolfram Language function, https://reference.wolfram.com/language/ref/TableForm.html. For the given f and g, the following short routine carries that out. /Width 561 In addition to original research and reviews of new books, Russell publishes new texts and textual studies, discussions, bibliographies, indexes, and archival lists. 354 Connect with users of Wolfram technologies to learn, solve problems and share ideas, Community posts can be styled and formatted using the. Has the Melford Hall manuscript poem "Whoso terms love a fire" been attributed to any poetDonne, Roe, or other? What differentiates living as mere roommates from living in a marriage-like relationship? command tells Mathematica that several replacements are involved in the evaluation of the preceding expression. /Filter /FlateDecode %PDF-1.5 ,iVz1%o8p]DIJ{ 6 '. /I true << /Length 4 0 R /Filter /FlateDecode >> Ask Question Asked 12 years, 4 months ago. Use the TableAlignments option to specify how items in columns should align: Add a row of column headings to the grid: You can add column and row headings to the contents of a Grid programmatically using ArrayFlatten: Grid You really don't need to know the value of , so if possible you can eliminate and solve for all pairs (x, y) that satisfy (3). Instant deployment across cloud, desktop, mobile, and more. TableForm should be used for viewing data in an easy to read format, but shouldn't be used as a wrapper when storing data. How to apply function involving elements in a column of a table. %PDF-1.3 Cells can be evaluated by grabbing the bracket to the right, holding . An addition table for the numbers 1 through 7. Curated computable knowledge powering Wolfram|Alpha. The result is that the column heading has become a table heading for the inner table. Welcome to the Mathematica project of Summer 2008! /ColorSpace /DeviceGray Parabolic, suborbital and ballistic trajectories all follow elliptic paths. Cells can be evaluated by grabing the bracket to the right, holding . rev2023.4.21.43403. At an extreme-value point of f on the constraint curve, its derivative with respect to x must of course be 0. where the first line is the x axis, but the y column is the first number of the following lines TableForm. (f)The following uses this formulation to show 5, 10 and 15 bars with the properties stated in (b) covering the interval [ 1; 2]. 4. Software engine implementing the Wolfram Language. 2 0 obj Multicolumn formatting grid-layouts Share Improve this question Follow xX[o6~I2I$O4 -X`AgHSQ{.m,AwT)%Jctts4L\Bet>=UM}s:mFqV]s yi\Z?fJ-*K"DirAS} W2eEoqZ$"h#0T9>\)T3%,0dtHJ4 J?T}s]a8d3C>f.NSRBeJQRzZ*`.a`$nMZ?4qc7G]rwprD'.u;ZVkMW]3;*kMtHpE So x={1,2,3,4}, y={10,20,30} and f(x,y) are the remaining data. Semicolons at the end of lines suppress printing results of computations. This is a place where Mathematica's built-in Solve command can sometimes help. Show vector, matrix and general arrays in tabular form: Define both horizontal and vertical alignments: Only use tabular formatting for the outermost dimension: By default the outermost dimension is a column: Format the first dimension as a row instead: Explicitly specify the spacing between rows and between columns: Multiplication table for the cyclic group : TableForm formats arrays in a tabular form: MatrixForm formats arrays using standard matrix formatting: Grid formats two-dimensional arrays as a grid: Use MatrixPlot to visualize the structure of large arrays: Use ArrayPlot to visualize the structure of large discrete arrays: Use Style to affect the display of TableForm: Use any number form such as ScientificForm or BaseForm to affect the display of numbers: The typeset form of TableForm[expr] is interpreted the same as expr when used in input: Copy the output and paste it into an input cell.
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