## Tag: algebraic-manipulation

50 Finding real roots of negative numbers (for example, $\sqrt[3]{-8}$) 2012-04-03T21:19:03.947

34 How do I get my equation to have the form $(x-a)^2 + (y-b)^2 + (z-c)^2-d = 0$? 2013-02-23T15:46:48.327

32 What is the proper way to verify that two expressions are equal? 2013-12-15T01:12:58.843

28 Replacing composite variables by a single variable 2012-03-25T03:28:45.020

26 Transform Root objects into Trigonometric expressions 2014-07-05T17:58:15.737

21 How do I replace a variable in a polynomial? 2012-01-23T20:55:15.077

21 Defining a function that completes the square given a quadratic polynomial expression 2013-04-09T15:42:54.193

19 How to implement dual numbers in Mathematica? 2012-10-30T22:56:21.390

19 Undocumented fourth parameter of Collect; how long has it been there? 2015-07-21T18:49:41.683

19 Differentiating functions of vectors/matrices? 2017-02-26T19:53:14.660

18 How do I introduce a new variable in a trigonometric equation? 2012-09-27T16:09:52.220

18 Why is ReplaceAll behaving like this? 2013-04-08T15:18:48.833

18 Expressing a polynomial as a sum of squares 2016-12-09T12:35:58.353

17 Is there a way to Collect[] for more than one symbol? 2012-01-17T22:46:02.857

17 Is it possible to have Mathematica move all terms to one side of an inequality? 2012-05-01T15:15:53.720

17 How to define a non-standard algebra in Mathematica? 2012-05-21T02:07:42.073

17 Factoring polynomials to factors involving complex coefficients 2012-07-12T21:11:50.370

17 Most efficient way to determine conclusively whether an algebraic number is zero 2013-01-24T20:22:06.623

17 Block Matrix Algebra with Mathematica 2013-11-26T09:41:21.767

16 How to extract expression from ConditionalExpression 2013-12-10T04:56:10.333

15 How can I rationalize the denominator of an expression? 2012-08-26T09:01:40.463

15 How can I convert a complex number into an exponent form 2012-12-16T13:02:19.403

15 How to get exact roots of this polynomial? 2013-01-04T16:13:42.193

15 Pull out scalars from NonCommutativeMultiply in commutator of SU2 spin algebra 2014-10-22T14:04:39.373

15 Factor a polynomial Root into Roots of smallest possible degree 2016-02-08T18:55:30.627

14 Transform an expression to remove the singularity 2014-02-20T18:06:48.870

13 ToNumberField won't recognize Root as an explicit algebraic number 2013-04-24T00:34:34.533

13 Factor a polynomial over the reals 2016-09-05T09:37:36.047

12 How to simplify -a*z+a*z to 0 where "a" is an expression 2015-01-22T22:06:45.507

12 Rearrange an algebraic expression so that each variable appears only once 2015-03-20T21:26:00.393

11 Why doesn't Mathematica expand Cos[x]^3 Sin[x]^2? 2012-04-18T20:50:31.893

11 Checking if two trigonometric expressions are equal 2012-06-26T13:10:40.973

11 Square both sides of an equation? 2012-11-28T05:08:32.763

11 InverseSeries of multiple variables and multiple equations 2013-05-08T14:56:08.327

11 How does Mathematica calculate $\sin(\pi/5)$? 2016-01-16T16:37:24.990

10 Expand modulus squared 2012-02-02T14:15:41.653

10 Shaping/simplifying equations in a certain way 2012-05-23T12:00:30.007

10 Distances between points in periodic cube 2012-06-04T20:15:25.147

10 How do I expand a sum? 2012-12-26T18:04:35.543

10 Memory leak issues 2013-12-25T00:20:35.187

10 Mathematica can't simplify some logarithmic expressions 2018-10-23T03:11:36.597

10 Mathematica function equivalent to MATLAB's residue function (partial fraction expansion) 2019-07-15T11:21:54.023

10 How to apply chain rule to a differential equation 2020-02-25T07:53:26.767

9 RootSum result manipulation/simplification 2012-08-15T19:34:40.370

9 How to simplify a complicated Sum in terms of power Sums? 2013-03-10T22:55:00.180

9 Noncommutative multiply- expand expression 2013-04-10T16:57:43.143

9 Apart may use PadÃ© method: what's that? 2013-04-21T15:18:07.193

9 Why is ToRadicals[] not able to handle all cases? Is there a workaround? 2013-10-14T18:43:35.587

9 Finding simplifying substitutions for an integral involving limits and integrand 2015-04-06T17:35:24.917

9 Lagrangian to Hamiltonian 2016-04-19T15:21:18.487

9 Computing the seven roots of a polynomial 2019-01-12T20:45:45.877

9 Generating an efficient way to compute einsum? 2019-10-04T17:14:46.237

8 "Evaluating" polynomials of functions (Symbols) 2012-08-07T23:51:16.930

8 How can I convert x^2 to x*x? 2012-10-26T05:35:37.653

8 Writing an expression as sum of squares of expressions 2013-06-02T14:14:05.990

8 Working with a system of differential equations that cannot be solved explicitly 2013-12-28T01:38:42.607

8 Speed up MinimalPolynomial 2014-03-26T02:08:30.967

8 How to Make a change of variables 2014-03-28T13:25:54.007

8 Extract common subexpressions from expressions 2014-09-17T12:38:58.110

8 How to do algebra on unevaluated integrals? 2014-10-29T18:58:18.277

8 How to sort arguments of Times in nonstandard order? 2015-07-21T10:57:11.687

8 How to make denominator of a complex expression real? 2016-10-09T16:48:23.763

8 How can I check if a function can be written as $a * \sin (b * x + c) + d$? 2019-10-06T21:30:43.940

7 Manipulating an equation into standard quadratic form? 2012-05-29T18:39:27.683

7 What function can I use to evaluate $(x+y)^2$ to $x^2 + 2xy + y^2$? 2012-08-05T06:01:03.900

7 Is there any way to collect only variables with a specific power? 2012-11-15T05:43:08.800

7 Defining a non-commutative operator algebra in Mathematica 2013-04-06T16:38:39.397

7 How to linearize an expression automatically? 2013-06-03T13:48:55.067

7 How to implement a formal expectation operator over an unknown distribution? 2013-11-03T19:53:00.857

7 Is there a version of Together that doesn't cancel common factors? 2013-11-19T15:50:45.163

7 Maple like collect command in Mathematica 2013-12-18T21:56:38.827

7 How to substitute the following conditions into an expression? 2014-02-11T15:17:40.317

7 Is Mathematica intended to be used to do lengthy algebraic calculations? 2015-05-05T08:14:55.467

7 Ordering in noncommutative multiply 2015-06-02T07:12:08.330

7 How can I group constants/parameters using Mathematica? 2016-01-12T00:30:25.630

7 How to force Series[] to compute expansions by considering non commutative multiplication? 2016-03-12T14:36:38.010

7 How to extract all the coefficients of a homogeneous polynomial 2016-07-10T12:28:50.743

7 Factor doesn't factor out a common multiplier; a feature or a bug? 2016-09-16T14:48:01.613

6 Reduce an equation by putting a new variable 2012-09-22T02:13:09.133

6 command to expand quaternion multiplication 2012-10-26T07:05:05.187

6 How to group certain symbolic expressions? 2012-11-15T18:56:03.380

6 Expanding out multiplied terms 2015-11-01T10:09:39.453

6 Forcing Mathematica to Output $1/\sqrt2$ as $\sqrt2/2$ 2016-01-17T19:54:37.423

6 Complicated symbolic coefficient slows down equation solving 2016-03-11T13:30:05.527

6 How do I use "Factor" to get this form 2016-06-09T13:59:11.273

6 How can I make Mathematica do, ArcTanh[x] + ArcTanh[y] = ArcTanh[x+y/1+xy]? 2016-08-18T12:08:31.380

6 Can't get Mathematica to simplify an expression 2016-08-21T05:19:08.947

6 Expressing $x_{1} ^ n + x_{2}^ n$, where $x_{1}$ and $x_{2}$ are the roots of $ax^2 +bx+c=0$ 2017-01-24T00:06:29.367

6 How to eliminate == sign from the solution? 2017-06-21T02:26:19.703

6 Turn single fraction into multiple fraction expression 2018-01-20T15:41:09.770

6 Symbolic calculation with generators and relations 2018-02-09T13:59:28.397

6 Continued fraction expansion of a rational function 2018-04-11T23:47:34.960

6 How to implement split-complex numbers? 2019-01-22T22:18:03.157

6 Get the intermediate steps of FullSimplify 2019-05-02T13:22:40.993

6 Optimal way to extract "positive part" of a multivariate polynomial 2019-08-10T12:39:35.630

6 Factoring the square of this polynomial? 2019-08-21T13:36:40.177

6 Derivative of real antisymmetric matrix in mathematica 2020-07-17T06:24:26.217