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# Questions tagged [arithmetic]

Questions on arithmetic operations in Mathematica.

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4 votes
4 answers
224 views

### Lines of intersections in a parabola

To test the parabolic sieve, my intention was for the graph to show the coordinates of two points on the parabola and the value of the intersection on the y-axis. A table with this information would ...
3 votes
2 answers
677 views

### Recycle buying soda problem

there is a question： " If a bottle of soda costs \$1 and you can exchange two empty bottles for one soda, how many sodas can you drink with \$20 " ...
• 1,572
3 votes
2 answers
127 views

### How can I enforce the use of Subtract and Divide?

It has been noted before, here and here, that when you enter a/b or a-b, Mathematica does not convert these to ...
• 669
4 votes
5 answers
497 views

### How to check if multiplication requires carries?

For some purposes I need to know if there are there any carries in the multiplication of two numbers, especially in base-2. How can we do this in Mathematica? Thanks to all, very interesting answers! ...
• 1,894
4 votes
1 answer
152 views

### 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, ..., ...
0 votes
1 answer
66 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? ...
• 3,692
3 votes
1 answer
213 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 ...
• 3,692
14 votes
2 answers
316 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 ...
• 62.1k
1 vote
2 answers
181 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 ...
• 490
3 votes
0 answers
74 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... ...
• 7,193
-3 votes
1 answer
112 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
1 answer
402 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 ...
• 4,325
0 votes
0 answers
63 views

### Ordinal arithmetic

How can I compute with ordinals in mathematica? For instance, I'd like to query $2+\omega > 1 + 2 \omega$.
• 225
5 votes
1 answer
249 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
0 answers
25 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 ...
• 563
2 votes
1 answer
164 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 ...
• 1,725
2 votes
2 answers
253 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...
• 6,263
2 votes
3 answers
744 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 ...
0 votes
2 answers
340 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 ...
• 490
7 votes
1 answer
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 ...
• 7,193
2 votes
1 answer
88 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 ...
• 5,441
17 votes
3 answers
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 ...
• 3,023
3 votes
1 answer
166 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 ...
• 1,134
1 vote
0 answers
76 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?
• 115
2 votes
0 answers
68 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 ...
• 411
3 votes
2 answers
122 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 ...
• 9,651
2 votes
2 answers
66 views

### LocalTime arithmetic

In an attempt to calculate the time difference between two cities I enter: ...
• 1,185
0 votes
0 answers
95 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? ...
• 193
3 votes
3 answers
161 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 ...
3 votes
2 answers
88 views

### Advice for making addition and multiplication tables for my kid

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. ...
• 689
3 votes
2 answers
284 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 ...
• 2,788
8 votes
3 answers
392 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. ...
• 576
3 votes
1 answer
115 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 ...
• 10.9k
0 votes
2 answers
215 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 ...
• 103
0 votes
1 answer
96 views

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

I have a code that goes like this: ...
• 303
5 votes
0 answers
88 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 ...
• 221
3 votes
1 answer
145 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 ...
• 19.1k
2 votes
1 answer
212 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 ...
• 565
0 votes
3 answers
77 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 <...
4 votes
1 answer
488 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?...
• 1,079
4 votes
2 answers
129 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 ...
• 2,335
4 votes
1 answer
157 views

• 3,644
1 vote
0 answers
51 views

### Buggy IntervalUnion with Quantities?

IntervalUnion can give wrong output when used with Quantity: ...
• 15.2k
2 votes
1 answer
181 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 ...
• 1,226
1 vote
3 answers
375 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: ...
• 33
0 votes
1 answer
728 views

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

I'm plotting a simple 2D graph derived from 4 3D vectors: ...
• 167
4 votes
2 answers
399 views

### Interchanging addition and multiplication

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 $$(2 + a) (5 +b + x +x +x) c \;,$$ ...
• 4,751