Questions about the use of built-in Mathematica functions, including pure functions.

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3
votes
1answer
171 views

How do I create an array by applying a function to the index of each element?

I am looking for something like matrix(m, n, f), but for Mathematica rather than MuPAD, and for arrays rather than matrices. That is, I'm looking for a(n ...
-1
votes
1answer
152 views

need help to price a european option using finite difference method [closed]

I am writing a function to price European option using backward induction finite difference method. The function is expected to price a European option taking Stock (stock_), age (time_), volatility ...
2
votes
0answers
87 views

Construct single InterpolatingFunction from a mathematical combination of other IF's

Let's say I have an interpolated function f, like I might get as the solution to an NDSolve: ...
1
vote
2answers
480 views

FindShortestTour to solve Traveling Salesman Problem

I'm trying to write my own code to find the shortest route but I'm lost on how or where to start. Does anyone have any idea how the FindShortestTour function works? What type of algorithm or structure ...
6
votes
2answers
145 views

Optional arguments with lists as function parameter

I'm developing a function f which should support optional arguments {x_, y_} in list form. A simple example looks like this: ...
0
votes
1answer
92 views

Can we say that “all functions in Mathematica are some kind of pattern-matching-and-replacement procedures”? [duplicate]

Currently I am studying Mathematica programming, and when I study pattern matching and replacement, I find it is quite similar to functions. So can we say "all functions in Mathematica are some kind ...
0
votes
1answer
44 views

How to have default case in Which? [closed]

Saying we have a function: a[x_] := Which[x === 1, "AAA", x === 2, "BBB", _, $Failed] How can I make this function to be equal to ...
1
vote
1answer
86 views

Calculating a function repetitively without using a For loop

In my programme I have defined all these functions: ...
1
vote
1answer
95 views

How to Reap data from a ScheduledTask?

Here is an amusing little function mapped over a range just to iterate it. It ignores its argument and works entirely by side-effecting a global variable: ...
1
vote
0answers
96 views

How can I use L.Shifrin s code formatter package better [closed]

in the document of HoldAllComplete, it says: Evaluate cannot be used to override HoldAllComplete.. for example, when I'm ...
0
votes
1answer
86 views

Calculating functions of sounds

I've seen that it is possible to create a sound from functions: Sound[{Play[Sin[1000 t (1 + t^2)], {t, 0, .2}], Play[Sin[500 t (1 + t^3)], {t, 0, .5}]}] Is is ...
6
votes
2answers
83 views

Maximise output issue

When I execute the following command, I get a numerical output as follows: ...
1
vote
3answers
181 views

How to calculate time period?

I have the starting and ending dates and times. And I need to calculate the night time in this period (from 10 pm (22) to 6 am (6)). Example: starting date and time is {2015, 1, 4, 3, 10} ending date ...
0
votes
0answers
39 views

Procedure argument value change [duplicate]

I'm trying to create my own hamiltonian cycle algorithm using Mathematica for school, and I'm stuck on a syntax issue. I get the following error: ...
1
vote
3answers
65 views

Define a function of a vector without fully specifying the components of the vector [duplicate]

I have a vector $A=\{1,2,3,4,5,6\}$, and I want to define a function of $A$ as f[A_]:=A.X where $X$ is another vector. I want to define this function without ...
1
vote
2answers
118 views

How to make function accept list of rules as an argument?

Considering the list of rules: r= {"a" -> "1", "b" -> "2", "c" -> 3, d -> 231, "e" -> 1.25}; I want to have a function ...
0
votes
0answers
48 views

How to make Piecewise continuous [duplicate]

I have a function defined by its slope in a continuous sequence of intervals, e.g. ...
0
votes
1answer
73 views

Codes for the derivative of a random polynomials

Good day! Please, I need some help here, I used this codes ...
2
votes
3answers
196 views

Simplify a composition of functions

How do I make Mathematica simplify, for example, (1-#&)@*(1-#&) into #&? ...
1
vote
2answers
401 views

Minimizing the largest difference between two functions

I have two functions defined on the same domain, $f(x)$ and $g(x)$ where $x$ is in $(0,1)$: f[x_] := (-1 + x) Log[1 - x] - x Log[x] g[x_] := Log[1 + 2 (-1 + x) x] ...
2
votes
2answers
164 views

How to apply list of values to a list of functions

I have the following: first= {1+a,2+a,3+a,4+a} and a list t={0,1,2,3} I want to evaluate the first element of "first" at ...
0
votes
3answers
111 views

Using Solve to obtain a constant so that f(x) is continuous at x=2

I need to solve for c such that the function is continuous at x=2. How do I do this automatically? I have expressions for ...
5
votes
1answer
84 views

Using a progress bar in a functional expression

If we have a procedural construct like a Do loop or Table, it is straightforward to make a progress bar to indicate the percent ...
2
votes
2answers
92 views

NotebookWrite in EvaluationBox forces Input CellStyle

There is a promissing new function EvaluationBox[] and a nice last example in documentation section for it: ...
0
votes
1answer
118 views

how to download using weather data function many proporties exactly.

how to download using weather data function many proporties exactly. Example WeatherData["WMO44292", "Humidity", "Pressure", "Temperature", \ {{2005, 1, 1, 0, 0}, {2015, 1, 1, 0, 0}}] .
1
vote
1answer
50 views

How to change time zone for all outputs? [closed]

How to change the time zone in Mathematica for all functions returning a date or time?
3
votes
1answer
85 views

How should I define functions that distribute over Plus?

I have a linear function which also follows the chain rule (it is a derivation), so I defined it recursively, following a Wolfram tutorial (which I've misplaced) and other related answers: ...
1
vote
1answer
116 views

FunctionDomain doesn't work with If

When I call FunctionDomain for function defined by a formula with If, for example ...
3
votes
1answer
393 views

Weierstrass function

I am trying to create plot of the Weierstrass function in Mathematica. I wonder if it's possible, when I define this function as ...
1
vote
0answers
73 views

How to simplify an expression with a radical sign nesting in a radical sign

Is there a function can simplify an expression with a radical sign nesting in a radical sign in Mathematica? I use V9. RatDenmon is a function that can ...
0
votes
2answers
109 views

Function with condition

I am starting my adventure with Mathematica. I would like to know if is there possibility to create function described by formula for example f(x):=1+2^n where 2^n < x. I have problem with this ...
1
vote
1answer
78 views

Tooltip : Mapping list of Tooltip values to list of functions while plotting

How is it possible to map a list of Tooltip values to the functions being plotted? For example: Assume, f1[x], f2[x], f3[x]... are functions defined. {t1, t2, t3, ...} are the list of tool-tips to ...
1
vote
2answers
82 views

Problem with Replace function [closed]

I recently started using Mathematica. I'm not able to understand my mistake. I'm trying to implement the Frangi vesselness for the enanchement of vessels in biomedical images. I wrote these functions: ...
0
votes
0answers
98 views

Piecewise function output response interpretation

Piecewise[{{t^2, t <= 0}, {t, t >= 0}}] Outputs: t^2 t <= 0 t t >= 0 0 True What does the last line of output 0 True mean? Sometimes it ...
28
votes
3answers
378 views

How to create a dynamic expanding DisplayForm's styled like the ones in v10?

The display forms for objects like ClassifierFunction are nice clickable boxes I like this, and now I'm trying to create my a custom version of this for my ...
0
votes
1answer
60 views

Generating comma separated input for LCM [duplicate]

I would like to calculate the Least Common Multiple of the 100 first numbers. I've tried with LCM[Table[i, {i, 10}]] But it produces a list instead of the right ...
1
vote
2answers
192 views

Evaluate a list

I have a function $f(x_1,\cdots,x_n)$ that takes $n$ arguments, and I would like to evaluate it using a list of lists $\lbrace\lbrace x_1,\cdots,x_n \rbrace,\cdots,\lbrace x_1',\cdots,x_n' ...
0
votes
1answer
69 views

Does Mathematica always return a rational number in its simplified form? [closed]

If I enter: 1/RandomInteger[10^200]+1/RandomInteger[10^200] I get (instantly) an exact fraction. Is this fraction in simplified (reduced) form? In other words is ...
0
votes
1answer
172 views

FindRoot over a function with some constant variables

I would like to perform the FindRoot command over the function func. Suppose: ...
2
votes
1answer
431 views

Working with derivative of conjugate of a complex number

I have a complex function, lets say $g(x)$. I want to take its and its conjugate's derivative. I need the solution of derivative which must be symbolically and computationally efficient. Lets take an ...
0
votes
1answer
168 views

Simultaneously fitting two data sets to two functions is too slow [closed]

I have to fit two data sets to two functions(eps1,eps2) with same parameters (w0,f,g) Initially, I know only one function ...
9
votes
2answers
703 views

How to programmatically covert a function-like rule to a pure function?

Is there a programmatic way to convert a Mathematica rule that acts like a typical mathematical function of one variable into the equivalent pure function? For example, the code should convert ...
3
votes
1answer
79 views

How do I make Mathematica nest argument changes?

I want something like Nest[f,x,n], but what where f is an argument change like a pushforward and x[t] is a function, for example, symbolically, and not in any sort of code: $$ F{x[t]} \equiv x[2t + ...
1
vote
1answer
130 views

Quantum Physics question [closed]

I'm not sure if anyone here would be able to help me. But if you know a more appropriate place where I could ask for help, please let me know. So here's the question: And here's my attempt at ...
5
votes
1answer
168 views

Why do functions defined with SetDelayed and Function behave differently in callbacks?

It seems to me that functions defined using a simple pattern and SetDelayed (the usual way to define a "function") should be equivalent in all respects to functions ...
0
votes
1answer
68 views

Function to find minimum element in array [duplicate]

i have this code: ...
-2
votes
1answer
269 views

plot sum of two function [closed]

I am trying to illustrate sum of functions. I have one function x*x - 8*x + 7 and another Log[2*x + 4.5] I understand that I ...
7
votes
2answers
225 views

Built in function without Attributes Listable works as if it has Attributes Listable

Can Built-in function works as if it has Attributes Listable even if it doesn't have that ...
1
vote
4answers
126 views

NestWhileList, control to show the second sequence

For example,each number will end up with 89 or 1, however , How can I generate a sequence with two sub sequence. f[n_] := IntegerDigits[n]^2 // Total One sub ...