## Construct a dfa and nfa for a set of strings on{0,1} : the left most symbol differs from the right most one and odd length string

Construct dfa and nfa for a set of string 0,1 such that left most and right most element are different and odd length string
Can you plss draw it

## How can construct three circles in a given triangle such that three internal tangent form an equilateral triangle

How can construct three circles in a given triangle such that three internal tangent form an equilateral triangle?

Malfatti circles

## printing – Can Adobe Photoshop Elements 2020 app in the App store construct and print multi month wall calendars?

I have an iMac ( 2017 ) running Catalina 10.15. A year and half ago when I was running Mojave I purchased Adobe photoshop Elements 2019 directly from Adobe . The program was very glitchy but did function after a fashion.

When I upgraded to Catalina, Elements got even worse and the only solution Adobe wanted to offer was to get me to pay more money and then to continue to do so. When I bought Elements 2019 it was not available in the App store and now it is.

My question is this: is the ability to design and print the multipage wall calendars that are part of the Adobe purchased app, still available in the App store version?

## real analysis – Can we construct a sequence of trigonometric polynomials that converges pointwise to a given continuous function on the Torus?

Consider any continuous function $$f$$ on an $$m$$-dimensional Torus $$mathbb{T}^m$$. Can we construct a sequence of band limited functions (trigonometric plynomials), with the band width (degree of the trigonometric polynomial) along any direction, being non decreasing, in such a way that the sequence converges pointwise to the function $$f$$?

## functions – How to construct this matrix in Mathematica

I create a symbolic matrix using the following:

``````mat = ToExpression[Table[StringJoin[{"s", ToString[i], ToString[j]}], {i, 1, d}, {j, 1, d}]]
``````

for arbitrary $$d$$. Notice that for $$d=2$$, this gives

$$begin{pmatrix} s11 & s12 \ s21 &s22end{pmatrix}.$$

I do this since an analytic expression is important. However, I would like to get numerics. How can I update the above define for `mat` to get a function of the form:

``````matNEW[s11_, s12_, s21_, s22_]
``````

such that I can evaluate the matrix later in the script for specific values of the parameters.

## statistics – Construct a 95% confidence interval for the unknown population standard deviation

Given the following 6 independent observations drawn from a normal distribution with unknown mean and standard deviation: 15, 18, 17, 12, 8, 20. Construct a 95% confidence interval for the unknown population standard deviation.

I am stuck here. It is easy to construct for the mean. But how to repeat the same procedure with SD. Thank you.

## knot theory – Is the following link impossible to construct?

I’m wondering if it is possible to prove that the following link as described is impossible to construct, or, if not, to construct it. Consider 6 rings, labeled A through F. I want the system to decouple into 6 disconnected rings if any two are cut; furthermore (so that this isn’t just any generalized Brunnian link) I would like for it to be possible to make a single cut that partitions the AB rings from the other four, and similarly for CD from the other four and EF from the other four.

I am also OK with introducing additional “internal” rings (with the external rings being A through F still) so long as the properties above hold, generalized to any two cuts completely separate A through F from each other, and the single cuts separate AB from the other four external rings, etc.

## graphics – Construct a binary tree where the nodes are labeled according to the given rule

I want to draw a binary tree in Mathematica where the nodes are labeled according to a given rule. In fact, if a node has a left child or a right child or both, will be determined by a rule. And then I also want to label each node according to a rule. How do I do this? I can accomplish this quite simply in programming languages ​​such as Java / Kotlin. But Mathematica offers the advantage of a nice drawing and that is what I want (in addition the rules are mathematical equations, etc.) How can I get there?

I'm looking for some examples of constructions for Turing degrees close to Kleene, but not above $$mathcal {O}$$. I know of one by Jockusch and Simpson using forcing with hyperarithmetic and uniformly sharp perfect trees, and this construction has the property of allowing you to force the triple jump of the constructed degree. I would like a few other examples of constructions, especially those that allow you to force the double jump but not the triple jump. Anyone know of any?
$$L = {w #x | w, x in {0, 1 } ^ *, (| w | = | x |), (w neq x ^ R) }$$