# Questions tagged [arithmetic]

Questions on arithmetic operations in Mathematica.

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### Simplify expressions with modulo 2 (Boolean algebra)

Suppose I have a (Boolean algebra) expression a = p1 x^2 + p2 x (x-1) + 3 p3 + 4 p4 x where p1, ..., ...
53 views

### How can I redefine multiplication this way?

I want the product of matrix objects to be evaluated to the matrix object of dot products of the arguments, but only if the matrices commute. Why this does not work? ...
200 views

### How can I redefine multiplication?

For instance, I want 0 Infinity = 0 I tried this: Unprotect[Times];Times[Infinity,0]=0;Times[0,Infinity]=0;Protect[Times]; But ...
235 views

### Arithmetic operations on NumericArrays

Currently, NumericArrays are directly supported by the most important array-related functions, what makes them a very attractive data structure for implementing ...
1 vote
175 views

### Express rational and infinite expressions in Mathematica [closed]

I have several doubts about notation. I would appreciate any clarifications. a) I can express, for example, a periodic or semi-periodic number without writing it in its rational form. Can such ...
73 views

### Problem with Mathematica Relationship Building

When I enter the following to get Mathematica to open my pod door I get Could someone try and replicate this? Also, my name is not Dave and I throw my own error... ...
106 views

### long division acurate answer on dividing long numbers [closed]

ok but first of all if i have the huge number to be divided what will i have to use for the division to be accurate long division or some other formula square root or 2 this is to calculate music ...
1 vote
269 views

### The square of Abs of a complex number

We all know that 4^2 + 22^2 = 500 Is there a natural way to generates 500 from the complex number ...
53 views

### Ordinal arithmetic

How can I compute with ordinals in mathematica? For instance, I'd like to query $2+\omega > 1 + 2 \omega$.
246 views

### Does Mathematica simplify calculation when encounter zero?

e.g. when Mathematica Calculating f[x0]=A[x0] B[x0], where A[x] & B[x] could be some complicated high dimensional function. Will Mathematica outcome 0 directly ...
1 vote
24 views

### Mathematica 12.1: Evaluation result does not show decimals [duplicate]

It surprises me that Mathematica does not show decimals after evaluating the following calculations: 500000+5.05 Result: 500005. Expecting: 500005.05 ...
128 views

### How does Leafcount work? [closed]

I am curious about how LeafCount works because when I count the number of leaves in my solution to a Wolfram Challenge, I get a much smaller result than those listed on the leaderboard for Multiples ...
212 views

### How to calculate percentage change using Dataset[]

With the following code, I can calculate percentage changes in selected indicators over time. The code is not efficient nor practical to integrate it into Manipulate...
594 views

### Rounding Real number

I have real numbers in array, I want to round (or truncate) these numbers to 2-digit after decimal point, then I want to write values to Excel File For example if I have ...
282 views

### How to generate multiplication tables up to nxn?

I'm doing a simple multiplication table and I have this that I'm having a hard time with. I imagine that there must be a shorter way to do it, what I can't get is that it paints black the first column ...
177 views

### Running Mathematica in 'SpouseMode'

In this previous question I looked into a deprecated capability of Mathematica from Version 2. Mathematica command that allows it to read my intentions Thanks to all for your answers. I note that ...
81 views

### Can we change Mathematica's original number system for arithmetic mod p or other arithmetic systems?

It seems Mathematica has a standard arithmetic system that resembles real numbers. Can we change Mathematica's original number system for arithmetic mod p so that whenever we write expressions, it sum ...
1k views

### How to enter a repeating decimal in Mathematica

I don't understand how to manipulate numbers with repeating decimal in Wolfram Mathematica language. For example 0.3... does not work as input and I don't see how ...
161 views

### Solving calculation puzzle [closed]

I recently got asked how to achieve a result of 100 only using the numbers {1,7,7,7,7} (the number 1 can be used only once and ...
1 vote
66 views

### Explanation on why this gives overflow?

If you have a phrase like $10^{0.00057 \cdot 10^{42}}$ that gives "overflow", what is the reason? Is it because, well, something about the size of this whole thing?
67 views

### Should I redefine 0^0 [duplicate]

I've found some times, while playing with combinatorics, that Mathematica can't calculate some functions because $0^0$ is not defined as $1$. (I know that some people think that $0^0$ should be left ...
117 views

### Can I make RandomInstance use exact arithmetic?

When using RandomInstance on a GeometricScene the answer loses precision when root objects are encountered. Is there a way to ...
56 views

### LocalTime arithmetic

In an attempt to calculate the time difference between two cities I enter: ...
81 views

### Why does Log[Abs[#]] return a complex number?

For a nonzero number $x$, $\log|x|$ should be a real number. Why does the following NestList contain non-real numbers when no numbers involved are close to zero? Is it a bug? ...
149 views

### Why does the Mathematica give different numerical results?

Why do the two inputs give different values? in:=(-y)^a /. a -> 2.99 /. y -> -2 out:=7.94474 and ...
81 views

I'm working with my 6 year old on understanding and mastering addition. As a result, I want to be able to make some custom addition (and eventually multiplication) tables for her to fill out. ...
252 views

### Applying Mod on list of list with outcomes +1, -1, other

I have a list lis = {{7, 8}, {17, 9}, {11, 10}, {12,10}} I want to apply Mod to each pair with output +1,-1 or ...
388 views

### Improving Map Function on Lists

Dealing with spectral data (2D lists) where offsets (corresponding 1D list) must be removed from each individual spectrum. Looking for feedback on improvements over my current method. ...
111 views

### Why Divide does not give the same answer? [closed]

I saw a question on Facebook $8\div2 (2 + 2)=?$ Consider these inputs. Divide[8, 2 (2 + 2)] 1 $8\div2 (2 + 2)$ using esc+div+esc 16 Why the results are ...
142 views

### Mathematica doesn't evaluate/simplify arithmetic expression in its output [closed]

I have two matrices, A := {{1, 2, -4}, {2, -2, -2}, {-4, -2, 1}} and ...
88 views

### Generating columns in table and header for exported data file automatically

I have a code that goes like this: ...
80 views

### Force computation on IEEE float/double

I'm checking two different procedures that will eventually be used with regular floating point arithmetic. I need to estimate numerical error arising from floating point arithmetic. Is there a way to ...
124 views

### Forcing divisions to be a machine-precision floating point divisions instead of multiplication by inverse

I want to imitate machine-precision, de facto IEEE division on Mathematica. On my quick trials I find this surprisingly hard to accomplish, since Mma rewrites a / b ...
207 views

### How to form subgraphs from a connected graph

I have a connected graph with 72 nodes and its binary adjacency matrix. I need to find all possible connected subgraphs with exactly 6 nodes, i.e., I need to find all connected subgraphs and each ...
75 views

### Roots of an algebraic expresion [duplicate]

If in WolframAlpha I put (-8)^(2/3) then it outputs the main root and 3 roots solution too (to the end in a polar graphic). How can I get the 3 root solution of <...
401 views

### multiply two vectors, component by component [closed]

Would like to take two vectors and multiply components at the same index.For example {a1, a2, a3} x {b1, b2, b3} to produce {a1 b1, a2 b2, a3 b3}. The following works, but are there some alternatives?...
110 views

### Raise a table of pre-existing data to the power of of one of the variables

NOTE: I have edited this question to give a table whose first elements don't count up from 0 to 5. I'm using a sample table ...
148 views

1 vote
50 views

### Buggy IntervalUnion with Quantities?

IntervalUnion can give wrong output when used with Quantity: ...
175 views

### Two-slot pure function [closed]

I come across this problem in many different forms when doing arithmetic in MMA and have until now just suffered along doing it the long way – having given up trying to figure it out myself – but now ...
1 vote
358 views

### select, group and manipulate elements in list based on date ranges

Question from a beginner. I have data containing dates and values of the format: ...
607 views

### How to multiply a vector by a scalar?

I'm plotting a simple 2D graph derived from 4 3D vectors: ...
379 views

Suppose I have an expression that employs addition and multiplication, but no subtraction or division: $$2 a + 5 b x^3 + c \;.$$ I would like to change this to $$(2 + a) (5 +b + x +x +x) c \;,$$ ...
856 views

### Why am I seeing what looks like a violation of operator precedence?

Why is it that when I evaluate 2*2.848529281693615+3*-0.5155083247776808 I get (* -2.93688 *) which is wrong. ...
204 views

### How can I make Mathematica agree that 0^0 = 1? [duplicate]

Occasionally I encounter messages like Power::indet: Indeterminate expression (0. + 0. I)^0 encountered. (or just 0^0). I believe I can safely declare these to be 1 for all of my purposes. Is ...