How to create an array in TI-89 Titanium calculator? - calculator

I tried many different ways, but TI always gives me errors:
Invalid in a function or current experession
I tried
{0, 0, 0, 0}->A
and
[0, 0, 0, 0]->A
Both ways did not work. Any idea?

I finally got it solved:
Local lst
newList( n )->lst
We have to explicitly declare lst as local variable, and create a new list of n element with newList() function.

Related

filling a matrix with Scala library breeze

I'm new to Scala and I'm having a mental block on a seemingly easy problem. I'm using the Scala library breeze and need to take an array buffer (mutable) and put the results into a matrix. This... should be simple but? Scala is so insanely type casted breeze seems really picky about what data types it will take when making a DenseVector. This is just some prototype code, but can anyone help me come up with a solution?
Right now I have something like...
//9 elements that need to go into a 3x3 matrix, 1-3 as top row, 4-6 as middle row, etc)
val numbersForMatrix: ArrayBuffer[Double] = (1, 2, 3, 4, 5, 6, 7, 8, 9)
//the empty 3x3 matrix
var M: breeze.linalg.DenseMatrix[Double] = DenseMatrix.zeros(3,3)
In breeze you can do stuff like
M(0,0) = 100 and set the first value to 100 this way,
You can also do stuff like:
M(0, 0 to 2) := DenseVector(1, 2, 3)
which sets the first row to 1, 2, 3
But I cannot get it to do something like...
var dummyList: List[Double] = List(1, 2, 3) //this works
var dummyVec = DenseVector[Double](dummyList) //this works
M(0, 0 to 2) := dummyVec //this does not work
and successfully change the first row to the 1, 2,3.
And that's with a List, not even an ArrayBuffer.
Am willing to change datatypes from ArrayBuffer but just not sure how to approach this at all... could try updating the matrix values one by one but that seems like it would be VERY hacky to code up(?).
Note: I'm a Python programmer who is used to using numpy and just giving it arrays. The breeze documentation doesn't provide enough examples with other datatypes for me to have been able to figure this out yet.
Thanks!
Breeze is, in addition to pickiness over types, pretty picky about vector shape: DenseVectors are column vectors, but you are trying to assign to a subset of a row, which expects a transposed DenseVector:
M(0, 0 to 2) := dummyVec.t

How to make a for loop to go through two arrays in MATLAB

I want to make a for loop that goes from 0 to 180, and then back again to -180. I tried the following:
for a=0:1:180 && 179:-1:-180
but this is not possible in MATLAB.
I have tried to use the && and || statements, but both don't work. I don't know any other ways to combine the two arrays. Any ideas?
You misunderstand the && and || operators. What you want is the following:
Go from 0 to 180 in steps of 1 AND then go from 180 to -180 in steps of -1.
However for any two statements A and B (both A and B need to be scalar values!), the command A && B does the following:
Return True, if both A and B are True, return False otherwise.
This is a logical AND, while you want to go through your first array AND through your second array after that. Though both is some kind of AND, you can't use && for your purpose.
Now, when you call for a=0:180, MATLAB does the following:
Create the vector 0:180, that is [0, 1, 2, ..., 180].
Run all the content inside the loop for each element in the vector created in 1).
So, what you want to do is create an array that contains the numbers [0, 1, 2, ..., 179, 180, 179, 178, ..., -179, -180]. You can do that by concatenating the arrays [0:180] and [179:-1:-180]. You should read about concatenation in MATLAB in their documentation. So, long story short, you for loop should be
for a=[0:180, 179:-1:-180]

Minizinc program complains of failed assertion in global_cardinality

I was trying to solve this problem in Minizinc, taken from Puzzle taken from Gardner :
Ten cells numbered 0,...,9 inscribe a 10-digit number such that each
cell, say i, indicates the total number of occurrences of the digit i
in this number. Find this number. The answer is 6210001000.
I solved it, and the code is working fine with Gecode:
int: n=9;
set of int: N=0..n;
array[N] of var N: cell;
include "globals.mzn";
constraint global_cardinality(cell, N, cell);
solve satisfy;
output [show(cell), "\n", show(index_set(cell)), " -- ", show(index_set(N))];
Output from Gecode:
[6, 2, 1, 0, 0, 0, 1, 0, 0, 0]
0..9 -- 1..10
----------
==========
However, G12 solvers complain about a assertion failed in global_cardinality:
in call 'assert' Assertion failed: global_cardinality: cover and
counts must have identical index sets
True, as the output from Gecode shows, N is 1..10 and cell is 0..9. So my questions are:
Why Gecode is working? Different implementation or my program is buggy but I was lucky?
How can I fix the program to work with G12 or to make it robust/correct?
The problem is that you start your array on 0. While it is technically correct to do so, it is preferred and recommended to start your arrays at 1 (standard in MiniZinc). As you can see there is still some solvers that do not fully support arrays that do not start at 1. There have also been a few bugs connected to the use of arrays that do not start at 0.
I get the same error on g12cpx as you do but modifying the array to
array[1..10] of var N: cell;
gives me the right result.
You can fix this by adding array1d():
global_cardinality(cell,array1d(0..n,[i | i in N]), cell);
The reason Gecode works but not G12/fd, is that Gecode has its own MiniZinc definition of the constraint which don't include the cardinality check.

How to put numbers into an array and sorted by most frequent number in java

I was given this question on programming in java and was wondering what would be the best way of doing it.
The question was on the lines of:
From the numbers provided, how would you in java display the most frequent number. The numbers was: 0, 3, 4, 1, 1, 3, 7, 9, 1
At first I am thinking well they should be in an array and sorted first then maybe have to go through a for loop. Am I on the right lines. Some examples will help greatly
If the numbers are all fairly small, you can quickly get the most frequent value by creating an array to keep track of the count for each number. The algorithm would be:
Find the maximum value in your list
Create an integer array of size max + 1 (assuming all non-negative values) to store the counts for each value in your list
Loop through your list and increment the count at the index of each value
Scan through the count array and find the index with the highest value
The run-time of this algorithm should be faster than sorting the list and finding the longest string of duplicate values. The tradeoff is that it takes up more memory if the values in your list are very large.
With Java 8, this can be implemented rather smoothly. If you're willing to use a third-party library like jOOλ, it could be done like this:
List<Integer> list = Arrays.asList(0, 3, 4, 1, 1, 3, 7, 9, 1);
System.out.println(
Seq.seq(list)
.grouped(i -> i, Agg.count())
.sorted(Comparator.comparing(t -> -t.v2))
.map(t -> t.v1)
.toList());
(disclaimer, I work for the company behind jOOλ)
If you want to stick with the JDK 8 dependency, the following code would be equivalent to the above:
System.out.println(
list.stream()
.collect(Collectors.groupingBy(i -> i, Collectors.counting()))
.entrySet()
.stream()
.sorted(Comparator.comparing(e -> -e.getValue()))
.map(e -> e.getKey())
.collect(Collectors.toList()));
Both solutions yield:
[1, 3, 0, 4, 7, 9]

Average saved output from multiple runs of function

I have a function that has 11 input parameters.
MyFunction(40, 40, 1, 1, 1, 5, 0, 1, 0, 1500, 'MyFile');
The input parameter 'MyFile' when passed through the MyFunction saves a text file using the save command that is 6 columns by the 10th input parameter of rows (e.g. 1500). I usually then load this files back into MATLAB when I am ready to analyze different runs.
I'd like to run MyFunction m times and ultimately have the 'MyFile' be a measure of central tendency (e.g. mean or median) of those m runs.
m=10
for i = 1:m;
MyFunction(40, 40, 1, 1, 1, 5, 0, 1, 0, 1500, 'MyFile');
end;
I could use the for-loop to generate a new 'MyFile' name for each iteration (e.g. MyFile1, MyFile2,...,MyFileM) with something like MyFile = sprintf('MyFile%m'); and then load all of the MyFiles back into MATLAB and then take their average and save it as a UltimateMyFile, but this seems cumbersome. Is their a better method to average these output files more directly? Should I store the files as an object, use dlmwrite, or -append?
Thanks.
since you are trying to find median, you need access to all the data.
you can define a 3 dimension array say
data = zeros(1500,6,m);
and then at each step of for loop update it:
data(:,:,i) = MyFunction(40, 40, 1, 1, 1, 5, 0, 1, 0, 1500);
of course you will need to redefine your function to get the right output.
However if you need to access the data at some other time, then you are better of writing it to a file and reading it from there.
in case you are only interested in the average, you can keep a running total as each case is analyzed and then then just divide it by number of cases (m).