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In 2000, MathWorks added a
Fortran-based library for linear algebra in MATLAB 6, replacing the software's original LINPACK and EISPACK subroutines that were in C. MATLAB's Parallel Computing Toolbox was released at the 2004 Supercomputing Conference and support for graphics processing units (GPUs)
651:
By the end of the 1980s, several hundred copies of MATLAB had been sold to universities for student use. The software was popularized largely thanks to toolboxes created by experts in various fields for performing specialized mathematical tasks. Many of the toolboxes were developed as a result of
1604:
MATLAB supports structure data types. Since all variables in MATLAB are arrays, a more adequate name is "structure array", where each element of the array has the same field names. In addition, MATLAB supports dynamic field names (field look-ups by name, field manipulations, etc.).
613:. They decided to reprogram MATLAB in C and market it for the IBM desktops that were replacing mainframe computers at the time. John Little and programmer Steve Bangert re-programmed MATLAB in C, created the MATLAB programming language, and developed features for toolboxes.
757:
programming language because types are implicitly converted. It is an inferred typed language because variables can be assigned without declaring their type, except if they are to be treated as symbolic objects, and that their type can change. Values can come from
1613:
When creating a MATLAB function, the name of the file should match the name of the first function in the file. Valid function names begin with an alphabetic character, and can contain letters, numbers, or underscores. Variables and functions are case sensitive.
605:
with 71 pre-built functions. At the time, MATLAB was distributed for free to universities. Moler would leave copies at universities he visited and the software developed a strong following in the math departments of university campuses.
2738:
In 2020, MATLAB withdrew services from two
Chinese universities as a result of US sanctions. The universities said this will be responded to by increased use of open-source alternatives and by developing domestic alternatives.
986:
Matrices can be defined by separating the elements of a row with blank space or comma and using a semicolon to separate the rows. The list of elements should be surrounded by square brackets
1930:
semantics. However, the syntax and calling conventions are significantly different from other languages. MATLAB has value classes and reference classes, depending on whether the class has
2700:
support) are implemented as wrappers around Java or ActiveX libraries. Calling MATLAB from Java is more complicated, but can be done with a MATLAB toolbox which is sold separately by
699:
The MATLAB application is built around the MATLAB programming language. Common usage of the MATLAB application involves using the "Command Window" as an interactive mathematical
691:'s functionality was expanded. By 2016, MATLAB had introduced several technical and user interface improvements, including the MATLAB Live Editor notebook, and other features.
3015:
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Before version 1.0, MATLAB "was not a programming language; it was a simple interactive matrix calculator. There were no programs, no toolboxes, no graphics. And no
4102:
1441:
3135:
S.M. Rump: INTLAB – INTerval LABoratory. In Tibor
Csendes, editor, Developments in Reliable Computing, pages 77–104. Kluwer Academic Publishers, Dordrecht, 1999.
575:
and started developing MATLAB for his students as a hobby. He developed MATLAB's initial linear algebra programming in 1967 with his one-time thesis advisor,
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The first early version of MATLAB was completed in the late 1970s. The software was disclosed to the public for the first time in
February 1979 at the
6816:
6776:
2669:(MATLAB executables) are the dynamically loadable object files created by compiling such functions. Since 2014 increasing two-way interfacing with
6386:
640:, Inc. was founded to develop the software and the MATLAB programming language was released. The first MATLAB sale was the following year, when
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by introducing function handles, or function references, which are implemented either in .m files or anonymous/nested functions.
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1964:
is an instance of a reference class, otherwise value class methods must return a new instance if it needs to modify the object.
6335:
4848:
2704:, or using an undocumented mechanism called JMI (Java-to-MATLAB Interface), (which should not be confused with the unrelated
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6411:
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3920:
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3333:
Chonacky, N.; Winch, D. (2005). "Reviews of Maple, Mathematica, and Matlab: Coming Soon to a
Publication Near You".
2839:
687:
Some especially large changes to the software were made with version 8 in 2012. The user interface was reworked and
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in mathematics, unlike zero-based indexing commonly used in other programming languages such as C, C++, and Java.
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712:
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554:. As of 2017, more than 5000 global colleges and universities use MATLAB to support instruction and research.
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6540:
6500:
5659:
5280:
5135:
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4691:
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2641:(GUI) applications. UIs can be generated either programmatically or using visual design environments such as
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6065:
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value can actually be left out of this syntax (along with one of the colons), to use a default value of 1.
250:
3016:"An interview with CLEVE MOLER Conducted by Thomas Haigh On 8 and 9 March, 2004 Santa Barbara, California"
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62:
4000:
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https://www.mathworks.com/company/newsroom/mathworks-announces-release-2024b-of-matlab-and-simulink.html
1937:
Method call behavior is different between value and reference classes. For example, a call to a method:
6841:
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5879:
5859:
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notation is encouraged and is often faster to execute. The following code, excerpted from the function
1377:
762:, from computation involving values of other variables, or from the output of a function. For example:
207:
6560:
6515:
6315:
5964:
4177:
598:
542:
As of 2020, MATLAB has more than four million users worldwide. They come from various backgrounds of
2084:
919:) which is an array consisting of the values 1, 3, 5, 7, and 9. That is, the array starts at 1 (the
282:
6597:
6480:
6307:
6190:
5501:
5298:
5049:
4696:
4296:
3614:. Synthesis digital library of engineering and computer science. Morgan & Claypool Publishers.
2658:
2638:
1381:
1058:. For example, a submatrix taken from rows 2 through 4 and columns 3 through 4 can be written as:
993:
are used to access elements and subarrays (they are also used to denote a function argument list).
973:
an array with the values 1, 2, 3, 4, and 5, since the default value of 1 is used as the increment.
572:
380:
4199:
656:
students that used MATLAB in academia, then brought the software with them to the private sector.
353:
117:
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6711:
6353:
6282:
6060:
5930:
5385:
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632:
MATLAB was first released as a commercial product in 1984 at the
Automatic Control Conference in
516:
4225:
6791:
6466:
6117:
6050:
6040:
5761:
5166:
3202:
754:
700:
671:, and for Unix PCs. Version 3 was released in 1987. The first MATLAB compiler was developed by
498:
58:
54:
50:
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571:. The idea for MATLAB was based on his 1960s PhD thesis. Moler became a math professor at the
6132:
6127:
6122:
6055:
6000:
4132:
3942:
3747:
3504:
3144:
Moore, R. E., Kearfott, R. B., & Cloud, M. J. (2009). Introduction to
Interval Analysis.
2927:
1356:
Most functions accept arrays as input and operate element-wise on each element. For example,
3575:
3541:
3157:
Rump, S. M. (2010). Verification methods: Rigorous results using floating-point arithmetic.
3085:
6395:
6142:
6107:
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4872:
4767:
3678:
3342:
2949:
980:
602:
494:
482:
476:
449:
41:
512:
Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the
8:
6471:
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5886:
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5441:
5376:
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1420:
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653:
452:
22:
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6030:
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3690:
3366:
2770:
2768:
976:
672:
528:
520:
486:
412:
157:
85:
3400:
3170:
Hargreaves, G. I. (2002). Interval analysis in MATLAB. Numerical
Algorithms, (2009.1).
2665:. A wrapper function is created allowing MATLAB data types to be passed and returned.
6451:
6228:
6185:
6112:
6005:
5571:
5512:
5270:
4925:
4706:
4520:
4501:
4482:
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4247:
4036:
3753:
3719:
3694:
3615:
3581:
3547:
3510:
3482:
3358:
2790:
1927:
1385:
397:
66:
3370:
2765:
6233:
6137:
5990:
5869:
5854:
5816:
5709:
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4998:
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4772:
4619:
4474:
4361:
3686:
3472:
3350:
3050:
Bezanson, Jeff; Karpinski, Stefan; Shah, Viral; Edelman, Alan (February 14, 2012).
2716:
2590:
668:
532:
444:
392:
4550:
3780:
2080:
1122:, and matrices of any size with zeros or ones can be generated with the functions
6292:
6085:
6045:
6035:
5791:
5756:
5616:
5601:
5456:
5403:
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5318:
5242:
5028:
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4726:
4659:
4543:
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2715:
based
Symbolic Math Toolbox available from MathWorks, MATLAB can be connected to
2094:
MATLAB has tightly integrated graph-plotting features. For example, the function
1903:
1111:
576:
536:
463:
171:
73:
6297:
6218:
5953:
5466:
5408:
5212:
2689:
2657:
MATLAB can call functions and subroutines written in the programming languages
641:
610:
506:
146:
4559:
4319:
6700:
6570:
6330:
6253:
6213:
6180:
6160:
5736:
5718:
3698:
3486:
3362:
3158:
3038:
So APL, Speakeasy, LINPACK, EISPACK, and PL0 were the predecessors to MATLAB.
2609:
2595:
1923:
1237:
or by adding dot-prime after the matrix (without the dot, prime will perform
278:
162:.m, .p, .mex*, .mat, .fig, .mlx, .mlapp, .mltbx, .mlappinstall, .mlpkginstall
5678:
6622:
6461:
6263:
6152:
6102:
5995:
5901:
5741:
5421:
5023:
4833:
2692:
can be directly called from MATLAB, and many MATLAB libraries (for example
1393:
3718:. Chapman & Hall/CRC Computer Science & Data Analysis. CRC Press.
2708:
that is also called JMI). Official MATLAB API for Java was added in 2016.
6243:
6208:
6165:
6010:
5586:
4624:
3354:
2720:
568:
543:
150:
141:
78:
6364:
4426:"US military ban locks two Chinese universities out of popular software"
3669:
Gatto, Marino; Rizzoli, Andrea (1993). "Review of MATLAB, Version 4.0".
3114:
659:
Over time, MATLAB was re-written for early operating systems created by
6530:
6272:
6015:
5911:
5801:
5776:
5766:
5625:
5581:
5260:
5189:
5127:
5074:
4644:
617:
311:
255:
188:
2079:
Graphs are unavailable due to technical issues. There is more info on
6627:
6070:
5726:
5576:
5451:
5393:
5328:
4920:
4711:
3341:(2). Institute of Electrical and Electronics Engineers (IEEE): 9–10.
2701:
2628:
2618:
2186:
1934:
as a super-class (for reference classes) or not (for value classes).
1230:
637:
633:
551:
502:
490:
316:
90:
3477:
3460:
2061:
923:
value), increments with each step from the previous value by 2 (the
6238:
5874:
5806:
5771:
5591:
5551:
5481:
5471:
5338:
5308:
5265:
5179:
5174:
5064:
4945:
4930:
4701:
4686:
2666:
688:
524:
192:
3401:"Cleve Moler: Mathematical Software Pioneer and Creator of Matlab"
2193:
6520:
6510:
5922:
5781:
5556:
5546:
5531:
5436:
5366:
5351:
5302:
5288:
5069:
5003:
4935:
4787:
4777:
4675:
4629:
2685:
2662:
927:
value), and stops once it reaches (or is about to exceed) 9 (the
580:
547:
222:
217:
212:
29:
4248:"Call Perl script using appropriate operating system executable"
6587:
6439:
6248:
5906:
5896:
5826:
5821:
5786:
5751:
5641:
5541:
5536:
5526:
5491:
5486:
5361:
5356:
5313:
5232:
5084:
5079:
5059:
4900:
4807:
4762:
4716:
4554:
3580:. SpringerLink : Bücher. Springer Netherlands. p. 1.
3328:
3326:
3324:
3322:
3320:
3318:
3316:
3314:
2727:
621:
421:
265:
260:
915:(or assigns a new value to an existing variable with the name
300:
6495:
6485:
6456:
6434:
5831:
5811:
5636:
5561:
5476:
5284:
5217:
5184:
5013:
4965:
4955:
4915:
4890:
4649:
2712:
1703:% Extract the individual red, green, and blue color channels.
567:
MATLAB was invented by mathematician and computer programmer
513:
425:
417:
405:
401:
384:
3662:
3311:
3225:"Platform Road Map for MATLAB and Simulink Product Families"
3049:
509:, and interfacing with programs written in other languages.
6577:
5746:
5521:
5414:
5292:
5275:
5222:
5207:
4960:
4681:
4639:
4609:
3567:
2677:
227:
4326:
1909:
6612:
6582:
5836:
3471:(HOPL). Association for Computing Machinery (ACM): 1–67.
2697:
2693:
664:
591:
3454:
3452:
3450:
3448:
3446:
3444:
3442:
3267:
1051:
Sets of indices can be specified by expressions such as
16:
Numerical computing environment and programming language
3498:
3496:
4377:
3577:
Numerical
Methods with Worked Examples: Matlab Edition
4457:
MATLAB: An Introduction with Applications 2nd Edition
4357:"MaMa: Calling MATLAB from Mathematica with MathLink"
3749:
System Simulation Techniques with MATLAB and Simulink
3439:
1423:
1376:
loops, but (as in other similar applications such as
749:
Variables are defined using the assignment operator,
3705:
3493:
2199:
MATLAB supports three-dimensional graphics as well:
2021:, this can be executed with the following commands:
1233:
a vector or a matrix is done either by the function
706:
601:
in California. Early versions of MATLAB were simple
4378:"MATLink: Communicate with MATLAB from Mathematica"
3739:
3601:
3535:
3533:
3506:MATLAB Programming: Mathematical Problem Solutions
1435:
858:A simple array is defined using the colon syntax:
3543:Solving Applied Mathematical Problems with MATLAB
2062:Graphics and graphical user interface programming
6698:
4517:Dynamical Systems with Applications using MATLAB
3573:
2098:can be used to produce a graph from two vectors
1967:An example of a simple class is provided below:
979:is one-based, which is the usual convention for
703:or executing text files containing MATLAB code.
4589:
4375:
3530:
3465:Proceedings of the ACM on Programming Languages
3203:"System Requirements and Platform Availability"
3082:Texas-Wisconsin Modeling and Control Consortium
4158:. Yale University, Computer Science Department
4103:"Application Programming Interfaces to MATLAB"
3146:Society for Industrial and Applied Mathematics
475:(an abbreviation of "MATrix LABoratory") is a
6380:
5938:
5708:
5694:
5143:
4849:
4575:
3332:
3273:
3250:"Matrices and Arrays - MATLAB & Simulink"
2652:
527:, adds graphical multi-domain simulation and
6742:Computer algebra system software for Windows
4863:
3668:
3635:
3611:MATLAB for Engineering and the Life Sciences
3459:Moler, Cleve; Little, Jack (June 12, 2020).
2733:
2608:3D plot of the two-dimensional unnormalized
2594:3D plot of the two-dimensional unnormalized
1676:% threshold for converting image to binary,
6717:Computer-related introductions in the 1970s
4735:
4479:Scientific Computing with MATLAB and Octave
4402:. MathWorks - File Exchange. Archived from
4354:
3829:"Create Symbolic Variables and Expressions"
3711:
3509:. De Gruyter STEM. De Gruyter. p. 21.
3458:
6737:Computer algebra system software for macOS
6732:Computer algebra system software for Linux
6653:
6387:
6373:
5945:
5931:
5701:
5687:
5150:
5136:
5110:
4856:
4842:
4582:
4568:
4222:"External Programming Language Interfaces"
3803:"Comparing MATLAB with Other OO Languages"
3607:
3293:"Current number of matlab users worldwide"
2726:Libraries also exist to import and export
1364:by 2, and then reduce each element modulo
352:
116:
6847:Proprietary commercial software for Linux
6762:Data mining and machine learning software
6394:
4355:Germundsson, Roger (September 30, 1998).
3476:
3021:. Computer History Museum. Archived from
2749:Comparison of numerical-analysis software
1844:% Now recombine to form the output image.
1407:is used here to generate square matrices
627:
624:(similar to matlab) have been available.
5157:
4498:MATLAB Codes for Finite Element Analysis
4153:
3502:
3394:
3392:
3390:
3388:
3386:
3384:
3382:
3380:
6817:Numerical analysis software for Windows
6777:Dynamically typed programming languages
4397:
3745:
3650:. Massachusetts Institute of Technology
3641:
3408:IEEE Annals of the History of Computing
2884:"Save Figure to Reopen in MATLAB Later"
1910:Classes and object-oriented programming
853:
616:Since 1993 an open source alternative,
6699:
6336:Comparison of linear algebra libraries
4398:Weitzel, Michael (September 1, 2006).
4290:
3644:"Accelerating the pace of engineering"
3335:Computing in Science & Engineering
3103:
3066:
6877:Domain-specific programming languages
6857:Regression and curve fitting software
6812:Numerical analysis software for macOS
6807:Numerical analysis software for Linux
6368:
5926:
5682:
5131:
4837:
4563:
4295:. Undocumented Matlab. Archived from
3899:"Generate Field Names from Variables"
3752:. No Longer used. Wiley. p. 17.
3539:
3377:
3138:
3072:
3043:
2185:produces the following figure of the
646:Massachusetts Institute of Technology
6727:Proprietary software programmed in C
4023:"Comparing Handle and Value Classes"
3151:
3129:
2065:
1118:can be generated using the function
620:(mostly compatible with matlab) and
6852:Proprietary cross-platform software
4154:Spielman, Dan (February 10, 2004).
3574:Woodford, C.; Phillips, C. (2011).
3164:
3075:"Octave: Past, Present, and Future"
2754:List of numerical-analysis software
1897:
583:code for linear equations in 1971.
13:
6802:Mathematical optimization software
6772:Data-centric programming languages
5952:
4447:
4317:
3712:Cho, M.J.; Martinez, W.L. (2014).
3691:10.1111/j.1939-7445.1993.tb00141.x
3642:LoTurco, Lori (January 28, 2020).
523:abilities. An additional package,
14:
6888:
6867:Statistical programming languages
4535:
3398:
682:
21:For the geographical region, see
6787:High-level programming languages
6681:
6680:
6652:
6349:
6348:
6326:Basic Linear Algebra Subprograms
6084:
5109:
5098:
5097:
2627:
2617:
2192:
2070:
1769:% Make the black parts pure red.
299:
277:
6827:Numerical programming languages
6224:Seven-dimensional cross product
4418:
4391:
4369:
4348:
4311:
4291:Altman, Yair (April 14, 2010).
4284:
4262:
4240:
4214:
4192:
4170:
4147:
4121:
4095:
4073:
4051:
4029:
4015:
3993:
3979:
3957:
3935:
3913:
3891:
3869:
3847:
3821:
3795:
3773:
3414:
3285:
3274:The MathWorks (February 2020).
3242:
3217:
3195:
3173:
3073:Eaton, John W. (May 21, 2001).
3008:
2986:
1368:. MATLAB does include standard
1360:will multiply every element in
3715:Statistics in MATLAB: A Primer
2994:"Support Package Installation"
2964:
2942:
2920:
2906:"Live Code File Format (.mlx)"
2898:
2876:
2854:
2832:
2810:
1922:, virtual dispatch, packages,
969:assigns to the variable named
609:In the 1980s, Cleve Moler met
1:
4001:"Object-Oriented Programming"
3503:Xue, D.; Press, T.U. (2020).
1599:
661:Digital Equipment Corporation
36:MATLAB (programming language)
6066:Eigenvalues and eigenvectors
4334:"MATLAB Engine API for Java"
3921:"Case and Space Sensitivity"
2840:"MEX Platform Compatibility"
2577:'{\bfsinc} ({\bfR})'
2382:'{\bfsinc} ({\bfR})'
1902:MATLAB supports elements of
1608:
744:
501:and data, implementation of
7:
6767:Data visualization software
6722:Array programming languages
5034:Engineering Equation Solver
4605:Advanced Simulation Library
4591:Numerical-analysis software
4224:. MathWorks. Archived from
4131:. MathWorks. Archived from
4105:. MathWorks. Archived from
4059:"Create a Simple GUIDE GUI"
4039:. MathWorks. April 30, 2011
3422:"A Brief History of MATLAB"
2972:"MATLAB App Installer File"
2742:
2637:MATLAB supports developing
2017:When put into a file named
1916:object-oriented programming
497:manipulations, plotting of
328:; 40 years ago
10:
6893:
6862:Software modeling language
4376:rsmenon; szhorvat (2013).
4365:. Wolfram Library Archive.
4293:"Java-to-Matlab Interface"
4178:"MATLAB Engine for Python"
3746:Xue, D.; Chen, Y. (2013).
2818:"Protect Your Source Code"
2653:MATLAB and other languages
2399:
2204:
562:
557:
27:
20:
6707:Image processing software
6648:
6425:
6402:
6344:
6306:
6262:
6199:
6151:
6093:
6082:
5978:
5960:
5845:
5717:
5654:
5615:
5511:
5384:
5375:
5337:
5198:
5165:
5093:
5042:
4974:
4871:
4816:
4755:
4597:
4496:Ferreira, A.J.M. (2009).
4477:; Saleri, Fausto (2006).
4459:. John Wiley & Sons.
4156:"Connecting C and Matlab"
3671:Natural Resource Modeling
3608:Tranquillo, J.V. (2011).
2734:Relations to US sanctions
911:defines a variable named
694:
679:was added to it in 2010.
599:Naval Postgraduate School
489:environment developed by
458:
443:
431:
411:
391:
376:
372:
344:
340:
322:
310:
298:
274:
246:
241:
203:
198:
186:
178:
166:
156:
140:
136:
108:
104:
96:
84:
72:
40:
6822:Numerical linear algebra
6752:Computer vision software
6747:Computer algebra systems
5502:World Programming System
4865:Computer algebra systems
4430:South China Morning Post
3546:. CRC Press. p. 6.
3410:. IEEE Computer Society.
3113:. Scilab. Archived from
2759:
2639:graphical user interface
2400:
2205:
2108:
2023:
1969:
1956:can alter any member of
1939:
1655:% for non-indexed images
1616:
1447:
1243:
1132:
1060:
995:
940:
876:
764:
736:
717:
573:University of New Mexico
28:Not to be confused with
6757:Cross-platform software
4515:Lynch, Stephen (2004).
4200:"Call Python Libraries"
3181:"The L-Shaped Membrane"
2711:As alternatives to the
2706:Java Metadata Interface
726:'Hello, world!'
713:"Hello, world!" program
707:"Hello, world!" example
579:. This was followed by
6051:Row and column vectors
5762:FMRIB Software Library
5020:symbolic math toolbox)
4400:"MathML import/export"
3781:"MATLAB Documentation"
3052:"Why We Created Julia"
2950:"Toolbox Distribution"
1437:
628:Commercial development
305:L-shaped membrane logo
6782:Econometrics software
6396:Programming languages
6056:Row and column spaces
6001:Scalar multiplication
4109:on September 15, 2017
4081:"MATLAB App Designer"
3965:"Anonymous Functions"
3833:Symbolic Math Toolbox
3461:"A history of MATLAB"
2928:"MATLAB App Designer"
2676:Libraries written in
2604:This code produces a
2588:This code produces a
1438:
1241:for complex arrays):
1055:, which evaluates to
734:It displays like so:
359:; 15 days ago
123:; 15 days ago
6872:Time series software
6191:Gram–Schmidt process
6143:Gaussian elimination
5462:Revolution Analytics
5159:Statistical software
4768:FEATool Multiphysics
4455:Gilat, Amos (2004).
4406:on February 25, 2011
4299:on September 5, 2015
3355:10.1109/mcse.2005.39
3028:on December 27, 2014
1421:
854:Vectors and matrices
648:bought ten copies.
483:programming language
357:/ September 12, 2024
121:/ September 12, 2024
6321:Numerical stability
6201:Multilinear algebra
6176:Inner product space
6026:Linear independence
4320:"matlabcontrol JMI"
4270:"MATLAB Builder JA"
3683:1993NRM.....7...85G
3677:(1). Wiley: 85–88.
3540:Press, CRC (2008).
3347:2005CSE.....7b...9C
3117:on December 1, 2016
2862:"MAT-File Versions"
2624:
2601:
2397:
1918:including classes,
1436:{\displaystyle 1:n}
1239:conjugate transpose
519:allowing access to
453:commercial software
438:Numerical computing
295:
158:Filename extensions
97:First appeared
37:
23:Matlab (Bangladesh)
6837:Parallel computing
6832:Numerical software
6031:Linear combination
4129:"Create MEX-Files"
3987:"Nested Functions"
3943:"Function Handles"
3299:. November 9, 2017
3276:"Company Overview"
1433:
1399:for odd values of
715:exists in MATLAB.
673:Stephen C. Johnson
603:matrix calculators
529:model-based design
521:symbolic computing
364:September 12, 2024
293:
283:MATLAB Programming
128:September 12, 2024
35:
6842:Plotting software
6694:
6693:
6676:Non-English-based
6362:
6361:
6229:Geometric algebra
6186:Kronecker product
6021:Linear projection
6006:Vector projection
5920:
5919:
5676:
5675:
5650:
5649:
5125:
5124:
4831:
4830:
4751:
4750:
4526:978-0-8176-4321-8
4507:978-1-4020-9199-5
4488:978-3-540-32612-0
4475:Quarteroni, Alfio
4466:978-0-471-69420-5
4228:on March 11, 2014
3855:"Matrix Indexing"
3759:978-1-118-69437-4
3725:978-1-4665-9657-3
3621:978-1-60845-710-6
3587:978-94-007-1366-6
3553:978-1-4200-8251-7
3516:978-3-11-066370-9
3426:www.mathworks.com
3254:www.mathworks.com
3183:. MathWorks. 2003
3091:on August 9, 2017
2798:Missing or empty
2673:was being added.
2635:
2634:
2092:
2091:
1928:pass-by-reference
1631:'ecg.png'
1403:(MATLAB function
848:-1.6097 3.0000
815:12.0000 1.5708
487:numeric computing
470:
469:
294:MATLAB (software)
291:
290:
187:MATLAB Software,
142:Typing discipline
6884:
6684:
6683:
6656:
6655:
6389:
6382:
6375:
6366:
6365:
6352:
6351:
6234:Exterior algebra
6171:Hadamard product
6088:
6076:Linear equations
5947:
5940:
5933:
5924:
5923:
5710:Image processing
5703:
5696:
5689:
5680:
5679:
5382:
5381:
5152:
5145:
5138:
5129:
5128:
5113:
5112:
5101:
5100:
4984:ClassPad Manager
4858:
4851:
4844:
4835:
4834:
4733:
4732:
4584:
4577:
4570:
4561:
4560:
4547:
4546:
4544:Official website
4530:
4511:
4492:
4470:
4442:
4441:
4439:
4437:
4422:
4416:
4415:
4413:
4411:
4395:
4389:
4388:
4386:
4384:
4373:
4367:
4366:
4362:Wolfram Research
4352:
4346:
4345:
4343:
4341:
4330:
4324:
4323:
4318:Kaplan, Joshua.
4315:
4309:
4308:
4306:
4304:
4288:
4282:
4281:
4279:
4277:
4266:
4260:
4259:
4257:
4255:
4244:
4238:
4237:
4235:
4233:
4218:
4212:
4211:
4209:
4207:
4196:
4190:
4189:
4187:
4185:
4174:
4168:
4167:
4165:
4163:
4151:
4145:
4144:
4142:
4140:
4135:on March 3, 2014
4125:
4119:
4118:
4116:
4114:
4099:
4093:
4092:
4090:
4088:
4077:
4071:
4070:
4068:
4066:
4055:
4049:
4048:
4046:
4044:
4033:
4027:
4026:
4019:
4013:
4012:
4010:
4008:
3997:
3991:
3990:
3983:
3977:
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3974:
3972:
3961:
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3917:
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3906:
3895:
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3851:
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3825:
3819:
3818:
3816:
3814:
3799:
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3771:
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3743:
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3659:
3657:
3655:
3639:
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3632:
3630:
3628:
3605:
3599:
3598:
3596:
3594:
3571:
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3564:
3562:
3560:
3537:
3528:
3527:
3525:
3523:
3500:
3491:
3490:
3480:
3456:
3437:
3436:
3434:
3432:
3418:
3412:
3411:
3405:
3396:
3375:
3374:
3330:
3309:
3308:
3306:
3304:
3289:
3283:
3282:
3280:
3271:
3265:
3264:
3262:
3260:
3246:
3240:
3239:
3237:
3235:
3229:de.mathworks.com
3221:
3215:
3214:
3212:
3210:
3199:
3193:
3192:
3190:
3188:
3177:
3171:
3168:
3162:
3155:
3149:
3142:
3136:
3133:
3127:
3126:
3124:
3122:
3107:
3101:
3100:
3098:
3096:
3090:
3084:. Archived from
3079:
3070:
3064:
3063:
3061:
3059:
3054:. Julia Language
3047:
3041:
3040:
3035:
3033:
3027:
3020:
3012:
3006:
3005:
3003:
3001:
2990:
2984:
2983:
2981:
2979:
2968:
2962:
2961:
2959:
2957:
2946:
2940:
2939:
2937:
2935:
2924:
2918:
2917:
2915:
2913:
2902:
2896:
2895:
2893:
2891:
2880:
2874:
2873:
2871:
2869:
2858:
2852:
2851:
2849:
2847:
2836:
2830:
2829:
2827:
2825:
2814:
2808:
2807:
2801:
2796:
2794:
2786:
2784:
2782:
2772:
2631:
2621:
2581:
2578:
2575:
2572:
2569:
2566:
2565:'{\bfy}'
2563:
2560:
2557:
2554:
2553:'{\bfx}'
2551:
2548:
2545:
2542:
2539:
2536:
2533:
2530:
2527:
2524:
2521:
2518:
2515:
2512:
2509:
2506:
2503:
2500:
2497:
2494:
2491:
2488:
2485:
2482:
2479:
2476:
2473:
2470:
2467:
2464:
2461:
2458:
2455:
2452:
2449:
2446:
2443:
2440:
2437:
2434:
2431:
2428:
2425:
2422:
2419:
2416:
2413:
2410:
2407:
2404:
2392:
2389:
2386:
2383:
2380:
2377:
2374:
2371:
2370:'{\bfy}'
2368:
2365:
2362:
2359:
2358:'{\bfx}'
2356:
2353:
2350:
2347:
2344:
2341:
2338:
2335:
2332:
2329:
2326:
2323:
2320:
2317:
2314:
2311:
2308:
2305:
2302:
2299:
2296:
2293:
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2287:
2284:
2281:
2278:
2275:
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2269:
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2263:
2260:
2257:
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2248:
2245:
2242:
2239:
2236:
2233:
2230:
2227:
2224:
2221:
2218:
2215:
2212:
2209:
2202:
2201:
2196:
2181:
2178:
2175:
2172:
2169:
2166:
2163:
2160:
2157:
2154:
2151:
2148:
2145:
2142:
2139:
2136:
2133:
2130:
2127:
2124:
2121:
2118:
2115:
2112:
2074:
2073:
2066:
2057:
2054:
2051:
2048:
2045:
2042:
2039:
2036:
2033:
2030:
2027:
2020:
2013:
2010:
2007:
2004:
2001:
2000:'Hello!'
1998:
1995:
1992:
1988:
1985:
1982:
1979:
1976:
1973:
1952:
1949:
1946:
1943:
1914:MATLAB supports
1898:Function handles
1893:
1890:
1887:
1884:
1881:
1878:
1875:
1872:
1869:
1866:
1863:
1860:
1857:
1854:
1851:
1848:
1845:
1842:
1839:
1836:
1833:
1830:
1827:
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1821:
1818:
1815:
1812:
1809:
1806:
1803:
1800:
1797:
1794:
1791:
1788:
1785:
1782:
1779:
1776:
1773:
1770:
1767:
1764:
1761:
1758:
1755:
1752:
1749:
1746:
1743:
1740:
1737:
1734:
1731:
1728:
1725:
1722:
1719:
1716:
1713:
1710:
1707:
1704:
1701:
1698:
1695:
1692:
1689:
1686:
1683:
1680:
1677:
1674:
1671:
1668:
1665:
1662:
1659:
1656:
1653:
1650:
1647:
1644:
1641:
1638:
1635:
1632:
1629:
1626:
1623:
1620:
1595:
1592:
1589:
1586:
1583:
1580:
1577:
1574:
1571:
1568:
1565:
1562:
1559:
1556:
1553:
1550:
1547:
1544:
1541:
1538:
1535:
1532:
1529:
1526:
1523:
1520:
1517:
1514:
1511:
1508:
1505:
1502:
1499:
1496:
1493:
1490:
1487:
1484:
1481:
1478:
1475:
1472:
1469:
1466:
1463:
1460:
1457:
1454:
1451:
1444:
1442:
1440:
1439:
1434:
1414:
1410:
1406:
1375:
1371:
1359:
1352:
1349:
1346:
1343:
1340:
1337:
1334:
1331:
1328:
1325:
1322:
1319:
1316:
1313:
1310:
1307:
1304:
1301:
1298:
1295:
1292:
1289:
1286:
1283:
1280:
1277:
1274:
1271:
1268:
1265:
1262:
1259:
1256:
1253:
1250:
1247:
1236:
1226:
1223:
1220:
1217:
1214:
1211:
1208:
1205:
1202:
1199:
1196:
1193:
1190:
1187:
1184:
1181:
1178:
1175:
1172:
1169:
1166:
1163:
1160:
1157:
1154:
1151:
1148:
1145:
1142:
1139:
1136:
1130:, respectively.
1129:
1125:
1121:
1106:
1103:
1100:
1097:
1094:
1091:
1088:
1085:
1082:
1079:
1076:
1073:
1070:
1067:
1064:
1057:
1054:
1047:
1044:
1041:
1038:
1035:
1032:
1029:
1026:
1023:
1020:
1017:
1014:
1011:
1008:
1005:
1002:
999:
992:
988:
972:
965:
962:
959:
956:
953:
950:
947:
944:
918:
914:
907:
904:
901:
898:
895:
892:
889:
886:
883:
880:
874:. For instance:
870:
864:
849:
846:
843:
840:
837:
834:
831:
828:
825:
822:
819:
816:
813:
810:
807:
804:
801:
798:
795:
792:
789:
786:
783:
780:
777:
774:
771:
768:
752:
740:
730:
727:
724:
721:
711:An example of a
669:Sun Microsystems
537:embedded systems
493:. MATLAB allows
466:
393:Operating system
367:
365:
360:
356:
336:
334:
329:
303:
296:
292:
281:
174:
131:
129:
124:
120:
74:Designed by
38:
34:
6892:
6891:
6887:
6886:
6885:
6883:
6882:
6881:
6697:
6696:
6695:
6690:
6644:
6421:
6398:
6393:
6363:
6358:
6340:
6302:
6258:
6195:
6147:
6089:
6080:
6046:Change of basis
6036:Multilinear map
5974:
5956:
5951:
5921:
5916:
5841:
5713:
5707:
5677:
5672:
5646:
5611:
5602:The Unscrambler
5507:
5404:GraphPad InStat
5371:
5333:
5319:SOFA Statistics
5194:
5161:
5156:
5126:
5121:
5089:
5038:
5029:TI InterActive!
4970:
4867:
4862:
4832:
4827:
4812:
4747:
4731:
4593:
4588:
4542:
4541:
4538:
4533:
4527:
4514:
4508:
4495:
4489:
4473:
4467:
4454:
4450:
4448:Further reading
4445:
4435:
4433:
4432:. June 12, 2020
4424:
4423:
4419:
4409:
4407:
4396:
4392:
4382:
4380:
4374:
4370:
4353:
4349:
4339:
4337:
4332:
4331:
4327:
4316:
4312:
4302:
4300:
4289:
4285:
4275:
4273:
4268:
4267:
4263:
4253:
4251:
4246:
4245:
4241:
4231:
4229:
4220:
4219:
4215:
4205:
4203:
4198:
4197:
4193:
4183:
4181:
4176:
4175:
4171:
4161:
4159:
4152:
4148:
4138:
4136:
4127:
4126:
4122:
4112:
4110:
4101:
4100:
4096:
4086:
4084:
4079:
4078:
4074:
4064:
4062:
4057:
4056:
4052:
4042:
4040:
4035:
4034:
4030:
4021:
4020:
4016:
4006:
4004:
3999:
3998:
3994:
3985:
3984:
3980:
3970:
3968:
3963:
3962:
3958:
3948:
3946:
3941:
3940:
3936:
3926:
3924:
3919:
3918:
3914:
3904:
3902:
3897:
3896:
3892:
3882:
3880:
3875:
3874:
3870:
3860:
3858:
3853:
3852:
3848:
3838:
3836:
3827:
3826:
3822:
3812:
3810:
3801:
3800:
3796:
3786:
3784:
3779:
3778:
3774:
3764:
3762:
3760:
3744:
3740:
3730:
3728:
3726:
3710:
3706:
3667:
3663:
3653:
3651:
3640:
3636:
3626:
3624:
3622:
3606:
3602:
3592:
3590:
3588:
3572:
3568:
3558:
3556:
3554:
3538:
3531:
3521:
3519:
3517:
3501:
3494:
3478:10.1145/3386331
3457:
3440:
3430:
3428:
3420:
3419:
3415:
3403:
3399:Haigh, Thomas.
3397:
3378:
3331:
3312:
3302:
3300:
3291:
3290:
3286:
3278:
3272:
3268:
3258:
3256:
3248:
3247:
3243:
3233:
3231:
3223:
3222:
3218:
3208:
3206:
3201:
3200:
3196:
3186:
3184:
3179:
3178:
3174:
3169:
3165:
3156:
3152:
3143:
3139:
3134:
3130:
3120:
3118:
3109:
3108:
3104:
3094:
3092:
3088:
3077:
3071:
3067:
3057:
3055:
3048:
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3031:
3029:
3025:
3018:
3014:
3013:
3009:
2999:
2997:
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2987:
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2745:
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2240:
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2222:
2219:
2216:
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2210:
2207:
2183:
2182:
2179:
2176:
2173:
2170:
2167:
2164:
2161:
2158:
2155:
2152:
2149:
2146:
2143:
2140:
2137:
2134:
2131:
2128:
2125:
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2119:
2116:
2113:
2110:
2088:
2075:
2071:
2064:
2059:
2058:
2055:
2052:
2049:
2046:
2043:
2040:
2037:
2034:
2031:
2028:
2025:
2018:
2015:
2014:
2011:
2008:
2005:
2002:
1999:
1996:
1993:
1990:
1986:
1983:
1980:
1977:
1974:
1971:
1954:
1953:
1950:
1947:
1944:
1941:
1926:semantics, and
1912:
1904:lambda calculus
1900:
1895:
1894:
1891:
1888:
1885:
1882:
1879:
1876:
1873:
1870:
1867:
1864:
1861:
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1777:
1774:
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1768:
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1597:
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1578:
1575:
1572:
1569:
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1563:
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1512:
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1506:
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1500:
1497:
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1479:
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1473:
1470:
1467:
1464:
1461:
1458:
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1449:
1422:
1419:
1418:
1416:
1412:
1408:
1404:
1373:
1369:
1357:
1354:
1353:
1350:
1347:
1344:
1341:
1338:
1335:
1332:
1329:
1326:
1323:
1320:
1317:
1314:
1311:
1308:
1305:
1302:
1299:
1296:
1293:
1290:
1287:
1284:
1281:
1278:
1275:
1272:
1269:
1266:
1263:
1260:
1257:
1254:
1251:
1248:
1245:
1234:
1228:
1227:
1224:
1221:
1218:
1215:
1212:
1209:
1206:
1203:
1200:
1197:
1194:
1191:
1188:
1185:
1182:
1179:
1176:
1173:
1170:
1167:
1164:
1161:
1158:
1155:
1152:
1149:
1146:
1143:
1140:
1137:
1134:
1127:
1123:
1119:
1112:identity matrix
1108:
1107:
1104:
1101:
1098:
1095:
1092:
1089:
1086:
1083:
1080:
1077:
1074:
1071:
1068:
1065:
1062:
1056:
1052:
1049:
1048:
1045:
1042:
1039:
1036:
1033:
1030:
1027:
1024:
1021:
1018:
1015:
1012:
1009:
1006:
1003:
1000:
997:
990:
987:
970:
967:
966:
963:
960:
957:
954:
951:
948:
945:
942:
916:
912:
909:
908:
905:
902:
899:
896:
893:
890:
887:
884:
881:
878:
868:
862:
856:
851:
850:
847:
844:
841:
838:
835:
832:
829:
826:
823:
820:
817:
814:
811:
808:
805:
802:
799:
796:
793:
790:
787:
784:
781:
778:
775:
772:
769:
766:
750:
747:
742:
741:
738:
732:
731:
728:
725:
722:
719:
709:
697:
685:
630:
577:George Forsythe
565:
560:
517:symbolic engine
507:user interfaces
462:
368:
363:
361:
358:
332:
330:
327:
323:Initial release
306:
270:
237:
181:implementations
170:
132:
127:
125:
122:
63:object-oriented
33:
26:
17:
12:
11:
5:
6890:
6880:
6879:
6874:
6869:
6864:
6859:
6854:
6849:
6844:
6839:
6834:
6829:
6824:
6819:
6814:
6809:
6804:
6799:
6797:Linear algebra
6794:
6789:
6784:
6779:
6774:
6769:
6764:
6759:
6754:
6749:
6744:
6739:
6734:
6729:
6724:
6719:
6714:
6712:1970s software
6709:
6692:
6691:
6689:
6688:
6678:
6673:
6668:
6663:
6649:
6646:
6645:
6643:
6642:
6635:
6630:
6625:
6620:
6615:
6610:
6605:
6600:
6595:
6590:
6585:
6580:
6575:
6574:
6573:
6563:
6558:
6553:
6548:
6543:
6538:
6533:
6528:
6523:
6518:
6513:
6508:
6503:
6498:
6493:
6488:
6483:
6478:
6477:
6476:
6475:
6474:
6469:
6454:
6449:
6444:
6443:
6442:
6432:
6426:
6423:
6422:
6420:
6419:
6414:
6409:
6403:
6400:
6399:
6392:
6391:
6384:
6377:
6369:
6360:
6359:
6357:
6356:
6345:
6342:
6341:
6339:
6338:
6333:
6328:
6323:
6318:
6316:Floating-point
6312:
6310:
6304:
6303:
6301:
6300:
6298:Tensor product
6295:
6290:
6285:
6283:Function space
6280:
6275:
6269:
6267:
6260:
6259:
6257:
6256:
6251:
6246:
6241:
6236:
6231:
6226:
6221:
6219:Triple product
6216:
6211:
6205:
6203:
6197:
6196:
6194:
6193:
6188:
6183:
6178:
6173:
6168:
6163:
6157:
6155:
6149:
6148:
6146:
6145:
6140:
6135:
6133:Transformation
6130:
6125:
6123:Multiplication
6120:
6115:
6110:
6105:
6099:
6097:
6091:
6090:
6083:
6081:
6079:
6078:
6073:
6068:
6063:
6058:
6053:
6048:
6043:
6038:
6033:
6028:
6023:
6018:
6013:
6008:
6003:
5998:
5993:
5988:
5982:
5980:
5979:Basic concepts
5976:
5975:
5973:
5972:
5967:
5961:
5958:
5957:
5954:Linear algebra
5950:
5949:
5942:
5935:
5927:
5918:
5917:
5915:
5914:
5909:
5904:
5899:
5894:
5889:
5883:
5882:
5877:
5872:
5867:
5862:
5857:
5851:
5849:
5843:
5842:
5840:
5839:
5834:
5829:
5824:
5819:
5814:
5809:
5804:
5799:
5794:
5789:
5784:
5779:
5774:
5769:
5764:
5759:
5754:
5749:
5744:
5739:
5734:
5729:
5723:
5721:
5715:
5714:
5706:
5705:
5698:
5691:
5683:
5674:
5673:
5671:
5670:
5663:
5655:
5652:
5651:
5648:
5647:
5645:
5644:
5639:
5634:
5628:
5622:
5620:
5613:
5612:
5610:
5609:
5604:
5599:
5594:
5589:
5584:
5579:
5574:
5569:
5564:
5559:
5554:
5549:
5544:
5539:
5534:
5529:
5524:
5518:
5516:
5509:
5508:
5506:
5505:
5499:
5494:
5489:
5484:
5479:
5474:
5469:
5464:
5459:
5454:
5449:
5444:
5439:
5434:
5429:
5424:
5418:
5411:
5409:GraphPad Prism
5406:
5401:
5396:
5390:
5388:
5386:Cross-platform
5379:
5373:
5372:
5370:
5369:
5364:
5359:
5354:
5349:
5343:
5341:
5335:
5334:
5332:
5331:
5326:
5321:
5316:
5311:
5306:
5296:
5283:(statsmodels,
5278:
5273:
5268:
5263:
5258:
5240:
5235:
5230:
5225:
5220:
5215:
5210:
5204:
5202:
5196:
5195:
5193:
5192:
5187:
5182:
5177:
5171:
5169:
5163:
5162:
5155:
5154:
5147:
5140:
5132:
5123:
5122:
5120:
5119:
5107:
5094:
5091:
5090:
5088:
5087:
5082:
5077:
5072:
5067:
5062:
5057:
5052:
5046:
5044:
5040:
5039:
5037:
5036:
5031:
5026:
5021:
5011:
5006:
5001:
4996:
4991:
4986:
4980:
4978:
4972:
4971:
4969:
4968:
4963:
4958:
4953:
4948:
4943:
4938:
4933:
4928:
4923:
4918:
4913:
4908:
4903:
4898:
4893:
4888:
4883:
4877:
4875:
4869:
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4853:
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4752:
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4714:
4709:
4704:
4699:
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4657:
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4607:
4601:
4599:
4595:
4594:
4587:
4586:
4579:
4572:
4564:
4558:
4557:
4548:
4537:
4536:External links
4534:
4532:
4531:
4525:
4519:. Birkhäuser.
4512:
4506:
4493:
4487:
4471:
4465:
4451:
4449:
4446:
4444:
4443:
4417:
4390:
4368:
4347:
4325:
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4283:
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3515:
3492:
3438:
3413:
3376:
3310:
3284:
3266:
3241:
3216:
3194:
3172:
3163:
3161:, 19, 287–449.
3150:
3137:
3128:
3102:
3065:
3042:
3007:
2985:
2963:
2941:
2919:
2897:
2875:
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2809:
2763:
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2751:
2744:
2741:
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2614:
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2599:
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2584:
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2398:
2395:
2206:
2109:
2090:
2089:
2078:
2076:
2069:
2063:
2060:
2024:
1970:
1940:
1911:
1908:
1899:
1896:
1617:
1610:
1607:
1601:
1598:
1448:
1432:
1429:
1426:
1244:
1133:
1061:
996:
989:. Parentheses
941:
877:
855:
852:
765:
753:. MATLAB is a
746:
743:
737:
718:
708:
705:
696:
693:
684:
683:Recent history
681:
675:in the 1990s.
642:Nick Trefethen
629:
626:
611:John N. Little
564:
561:
559:
556:
505:, creation of
480:multi-paradigm
468:
467:
460:
456:
455:
447:
441:
440:
435:
429:
428:
415:
409:
408:
395:
389:
388:
378:
374:
373:
370:
369:
350:
348:
346:Stable release
342:
341:
338:
337:
324:
320:
319:
314:
308:
307:
304:
289:
288:
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114:
112:
110:Stable release
106:
105:
102:
101:
98:
94:
93:
88:
82:
81:
76:
70:
69:
47:multi-paradigm
44:
15:
9:
6:
4:
3:
2:
6889:
6878:
6875:
6873:
6870:
6868:
6865:
6863:
6860:
6858:
6855:
6853:
6850:
6848:
6845:
6843:
6840:
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6835:
6833:
6830:
6828:
6825:
6823:
6820:
6818:
6815:
6813:
6810:
6808:
6805:
6803:
6800:
6798:
6795:
6793:
6792:IRIX software
6790:
6788:
6785:
6783:
6780:
6778:
6775:
6773:
6770:
6768:
6765:
6763:
6760:
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6601:
6599:
6596:
6594:
6591:
6589:
6586:
6584:
6581:
6579:
6576:
6572:
6571:Object Pascal
6569:
6568:
6567:
6564:
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6559:
6557:
6554:
6552:
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6433:
6431:
6428:
6427:
6424:
6418:
6415:
6413:
6410:
6408:
6405:
6404:
6401:
6397:
6390:
6385:
6383:
6378:
6376:
6371:
6370:
6367:
6355:
6347:
6346:
6343:
6337:
6334:
6332:
6331:Sparse matrix
6329:
6327:
6324:
6322:
6319:
6317:
6314:
6313:
6311:
6309:
6305:
6299:
6296:
6294:
6291:
6289:
6286:
6284:
6281:
6279:
6276:
6274:
6271:
6270:
6268:
6266:constructions
6265:
6261:
6255:
6254:Outermorphism
6252:
6250:
6247:
6245:
6242:
6240:
6237:
6235:
6232:
6230:
6227:
6225:
6222:
6220:
6217:
6215:
6214:Cross product
6212:
6210:
6207:
6206:
6204:
6202:
6198:
6192:
6189:
6187:
6184:
6182:
6181:Outer product
6179:
6177:
6174:
6172:
6169:
6167:
6164:
6162:
6161:Orthogonality
6159:
6158:
6156:
6154:
6150:
6144:
6141:
6139:
6138:Cramer's rule
6136:
6134:
6131:
6129:
6126:
6124:
6121:
6119:
6116:
6114:
6111:
6109:
6108:Decomposition
6106:
6104:
6101:
6100:
6098:
6096:
6092:
6087:
6077:
6074:
6072:
6069:
6067:
6064:
6062:
6059:
6057:
6054:
6052:
6049:
6047:
6044:
6042:
6039:
6037:
6034:
6032:
6029:
6027:
6024:
6022:
6019:
6017:
6014:
6012:
6009:
6007:
6004:
6002:
5999:
5997:
5994:
5992:
5989:
5987:
5984:
5983:
5981:
5977:
5971:
5968:
5966:
5963:
5962:
5959:
5955:
5948:
5943:
5941:
5936:
5934:
5929:
5928:
5925:
5913:
5910:
5908:
5905:
5903:
5900:
5898:
5895:
5893:
5890:
5888:
5885:
5884:
5881:
5878:
5876:
5873:
5871:
5868:
5866:
5863:
5861:
5858:
5856:
5853:
5852:
5850:
5848:
5844:
5838:
5835:
5833:
5830:
5828:
5825:
5823:
5820:
5818:
5815:
5813:
5810:
5808:
5805:
5803:
5800:
5798:
5795:
5793:
5790:
5788:
5785:
5783:
5780:
5778:
5775:
5773:
5770:
5768:
5765:
5763:
5760:
5758:
5755:
5753:
5750:
5748:
5745:
5743:
5740:
5738:
5737:CellCognition
5735:
5733:
5730:
5728:
5725:
5724:
5722:
5720:
5716:
5711:
5704:
5699:
5697:
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5618:
5614:
5608:
5605:
5603:
5600:
5598:
5595:
5593:
5590:
5588:
5585:
5583:
5580:
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5380:
5378:
5374:
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5360:
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5342:
5340:
5336:
5330:
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5320:
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5310:
5307:
5304:
5300:
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5294:
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5197:
5191:
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5178:
5176:
5173:
5172:
5170:
5168:
5167:Public domain
5164:
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4379:
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4358:
4351:
4340:September 15,
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3750:
3742:
3731:September 17,
3727:
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3708:
3700:
3696:
3692:
3688:
3684:
3680:
3676:
3672:
3665:
3654:September 16,
3649:
3645:
3638:
3627:September 17,
3623:
3617:
3613:
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3604:
3593:September 16,
3589:
3583:
3579:
3578:
3570:
3559:September 16,
3555:
3549:
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3544:
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3534:
3522:September 16,
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3226:
3220:
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3198:
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3167:
3160:
3159:Acta Numerica
3154:
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3141:
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3083:
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3053:
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2805:
2792:
2781:September 15,
2777:
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2769:
2764:
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2648:
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2626:
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2596:sinc function
2593:
2592:
2587:
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2200:
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2190:
2188:
2187:sine function
2107:
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2101:
2097:
2086:
2085:MediaWiki.org
2082:
2077:
2068:
2067:
2022:
1968:
1965:
1963:
1959:
1938:
1935:
1933:
1929:
1925:
1924:pass-by-value
1921:
1917:
1907:
1905:
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1383:
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937:
932:
930:
926:
922:
875:
873:
867:
861:
794:'hat'
763:
761:
756:
739:Hello, world!
735:
716:
714:
704:
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464:mathworks.com
461:
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199:Influenced by
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172:mathworks.com
169:
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68:
64:
60:
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52:
48:
45:
43:
39:
31:
24:
19:
6671:Generational
6661:Alphabetical
6657:
6637:
6555:
6462:Visual Basic
6264:Vector space
5996:Vector space
5902:MountainsMap
5891:
5742:CellProfiler
5665:
5658:
5446:
5422:SPSS Modeler
5254:
5250:
5246:
5114:
5102:
5043:Discontinued
5024:SMath Studio
5017:
4820:
4797:
4736:Discontinued
4671:
4667:
4663:
4516:
4500:. Springer.
4497:
4481:. Springer.
4478:
4456:
4434:. Retrieved
4429:
4420:
4408:. Retrieved
4404:the original
4393:
4381:. Retrieved
4371:
4360:
4350:
4338:. Retrieved
4328:
4313:
4301:. Retrieved
4297:the original
4286:
4274:. Retrieved
4264:
4252:. Retrieved
4242:
4230:. Retrieved
4226:the original
4216:
4204:. Retrieved
4194:
4182:. Retrieved
4172:
4160:. Retrieved
4149:
4137:. Retrieved
4133:the original
4123:
4111:. Retrieved
4107:the original
4097:
4085:. Retrieved
4075:
4063:. Retrieved
4053:
4041:. Retrieved
4037:"MATLAB GUI"
4031:
4025:. MathWorks.
4017:
4005:. Retrieved
3995:
3989:. MathWorks.
3981:
3969:. Retrieved
3959:
3947:. Retrieved
3937:
3925:. Retrieved
3915:
3903:. Retrieved
3893:
3881:. Retrieved
3877:"Structures"
3871:
3859:. Retrieved
3849:
3837:. Retrieved
3832:
3823:
3811:. Retrieved
3806:
3797:
3785:. Retrieved
3775:
3763:. Retrieved
3748:
3741:
3729:. Retrieved
3714:
3707:
3674:
3670:
3664:
3652:. Retrieved
3647:
3637:
3625:. Retrieved
3610:
3603:
3591:. Retrieved
3576:
3569:
3557:. Retrieved
3542:
3520:. Retrieved
3505:
3468:
3464:
3431:September 4,
3429:. Retrieved
3425:
3416:
3407:
3338:
3334:
3301:. Retrieved
3296:
3287:
3269:
3257:. Retrieved
3253:
3244:
3234:December 22,
3232:. Retrieved
3228:
3219:
3207:. Retrieved
3197:
3185:. Retrieved
3175:
3166:
3153:
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3131:
3119:. Retrieved
3115:the original
3105:
3093:. Retrieved
3086:the original
3081:
3068:
3056:. Retrieved
3045:
3037:
3030:. Retrieved
3023:the original
3010:
2998:. Retrieved
2988:
2976:. Retrieved
2966:
2954:. Retrieved
2944:
2932:. Retrieved
2922:
2910:. Retrieved
2900:
2888:. Retrieved
2878:
2866:. Retrieved
2856:
2844:. Retrieved
2834:
2822:. Retrieved
2812:
2800:|title=
2779:. Retrieved
2737:
2725:
2710:
2675:
2656:
2647:App Designer
2646:
2642:
2636:
2605:
2589:
2198:
2191:
2184:
2106:. The code:
2103:
2099:
2095:
2093:
2016:
1966:
1961:
1957:
1955:
1936:
1931:
1913:
1901:
1871:greenChannel
1796:greenChannel
1727:greenChannel
1612:
1603:
1400:
1396:
1394:magic square
1392:, creates a
1389:
1365:
1361:
1355:
1229:
1115:
1109:
1050:
985:
975:
968:
935:
933:
928:
924:
920:
910:
871:
865:
859:
857:
755:weakly typed
748:
733:
710:
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686:
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658:
650:
631:
615:
608:
596:
585:
566:
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511:
472:
471:
351:R2024b
312:Developer(s)
285:at Wikibooks
115:R2024b
18:
6666:Categorical
6244:Multivector
6209:Determinant
6166:Dot product
6011:Linear span
5887:Mathematica
5847:Proprietary
5587:StatsDirect
5442:Mathematica
5200:Open-source
5009:Mathematica
4976:Proprietary
4873:Open-source
4793:Mathematica
4756:Proprietary
4436:November 6,
4336:. MathWorks
4272:. MathWorks
4254:November 7,
4250:. MathWorks
4202:. MathWorks
4180:. MathWorks
4087:November 1,
4083:. MathWorks
4061:. MathWorks
4003:. MathWorks
3967:. MathWorks
3945:. MathWorks
3927:November 1,
3923:. MathWorks
3901:. MathWorks
3879:. MathWorks
3857:. MathWorks
3835:. MathWorks
3809:. MathWorks
3783:. MathWorks
3765:October 15,
3205:. MathWorks
3187:February 7,
3121:December 1,
3095:December 1,
3058:December 1,
3032:December 6,
3000:November 1,
2996:. MathWorks
2978:November 1,
2974:. MathWorks
2956:November 1,
2952:. MathWorks
2934:November 1,
2930:. MathWorks
2912:November 1,
2908:. MathWorks
2890:November 1,
2886:. MathWorks
2868:November 1,
2864:. MathWorks
2846:November 1,
2842:. MathWorks
2824:November 1,
2820:. MathWorks
2721:Mathematica
2081:Phabricator
1920:inheritance
1889:rgbImageOut
1877:blueChannel
1847:rgbImageOut
1829:binaryImage
1820:blueChannel
1805:binaryImage
1781:binaryImage
1748:blueChannel
1679:binaryImage
1415:containing
1231:Transposing
1010:16 3 2 13
569:Cleve Moler
544:engineering
477:proprietary
450:Proprietary
79:Cleve Moler
6701:Categories
6531:JavaScript
6407:Comparison
6278:Direct sum
6113:Invertible
6016:Linear map
5912:Visage SDK
5802:InVesalius
5777:GNU Octave
5767:FreeSurfer
5667:Comparison
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