## 8 – Conditional Show/Hide Child Terms on Edit Page

I have a content type with a term reference. The terms have child terms. On the admin editing side, I want to show only top level terms until selected, then show only the child terms for that parent.

This to prevent having a ginormously long field.

``````Parent 1
Child 1
Child 2
Parent 2
Child 3
Child 4
Parent 3
...
``````

When a user edits a piece of content, I want to only show the parent terms initially. Then show/hide the child terms when the parent is checked.

``````Parent 1
Parent 2 (checked)
Child 3
Child 4
Parent 3
Parent 4
...
``````

I’ve used conditional fields, state API, and select (other) modules. But this is showing and hiding children on the same field. So it’s a bit different.

Anyone have any advice for this scenario?

## Complex conditional logic for Webform field

I have a complex scenario in Webforms, where field #states depends on multiple OR / AND conditional logic.

For Example:

field_d has a visibility condition where field_a must be filled and either of field_b or field_c must be filled. I am not sure how to proceed with that kind of Yaml logic. I have tried something like below but it seems not to work.

``````visible:

':input(name="field_a")':
filled: true

and

(
':input(name="field_b")':
filled: true

or

':input(name="field_c")':
filled: true
)

``````

Thanks.

## conditional formatting – Using a custom formula on a sheet that is constantly expanding

A custom formula for 5 possible colors, by day is used to highlight entries by DayOfWeek

Is it possible to use a format like A2:A instead of manually editing it as the sheet grows bigger?

Formula works fine, just don’t want to be editing it continuously

Example for rows A2 to A641 – can this be \$A\$2:\$A ?

``````=and(isblank(\$A\$2:\$A\$641)=false,OR(weekday(\$A\$2:\$A\$641)=7))
``````

## How do I apply more than one conditional formatting rule using JSON to a SP Online List column?

You cannot apply multiple JSON formatting codes to single column. So, you have to manage multiple conditions/rules within same JSON.

For changing color to red when number is negative, add below code in your existing JSON:

``````...

"style": {
"color": "=if(@currentField < 0, 'red', '#323130')"
}

...
``````

Documentation: Use column formatting to customize SharePoint

## javascript – How to check if type is undefined in Typescript Conditional Types?

I currently have this type:

``````type ReturnType<T, E> = [T, E]
``````

I ‘m trying to make this type “smarter” by these rules:

• If `T` is `undefined`, then the type would be `[undefined, E]`
• If `E` is `undefined`, then the type would be `[T]`
• `T` and `E` can’t both be `undefined`

I’m trying to apply these rules using Typescript’s `Conditional Types`.
Is this even possible to implement?

This is what I got so far:

``````type ReturnType<T, E> = T extends undefined ? [undefined, E] : [T]
``````

## bessel functions – Compute the conditional probability distribution of a noncentral \$chi\$ variable given the range of Erlang distributed non-centrality parameter

I need to compute a conditional probability distribution as described below for my research.

In $$(mathbb R^2,||cdot||_2)$$, I have a random vector $$underline{z}$$ with uniformly distributed angle and $$Z=||underline{z}||$$ following Erlang distribution with $$k=2$$ and scale parameter $$mu$$, i.e. with the density function $$f_Z(z)=frac{z}{mu^2}e^{-frac{z}{mu}}$$. I have another normal random vector $$underline{y}$$ independent of $$underline{z}$$. I’m interested in the resultant vector $$underline{x}=underline{y}+underline{z}$$ and want to compute the conditional distribution of $$X=||underline{x}||$$ given $$aleq||underline{z}||leq b,0leq a, to be specific, the complementary cumulative distribution function $$overline{F}_{X|Z}(x|(a,b))=P(X>x|aleq Zleq b)$$. Solutions for special cases where $$Zleq c$$ or $$Zgeq c$$ for any $$c>0$$ would be sufficient for my research if they are easier to solve.

Following is my attempt. Given a fixed $$Z=z$$, since $$underline{y}$$ is normal, $$X$$ follows the noncentral $$chi$$ distribution with $$k=2$$ and non-centrality parameter $$lambda=z$$, i.e. $$f_{X|Z}(x|z)=xe^{-frac{x^2+z^2}{2}}I_0(xz)$$, where $$I_0(x)=frac{1}{pi}int_0^pi e^{xcosalpha}dalpha$$ is a modified Bessel function of the first kind. Then the density function of the conditional distribution is
$$f_{X|Z}(x|(a,b))=frac{int_a^b f_Z(z)f_{X|Z}(x|z)dz}{int_a^b f_Z(z)dz}$$

The denominator $$int_a^b f_Z(z)dz=gamma(2,frac{b}{mu})-gamma(2,frac{a}{mu})$$ where $$gamma$$ is the lower incomplete gamma function.

Change the order of integration, the numerator is
begin{align} int_a^b f_Z(z)f_{X|Z}(x|z)dz & = frac{1}{pi}int_a^bfrac{z}{mu^2}e^{-frac{z}{mu}}xe^{-frac{x^2+z^2}{2}}int_0^pi e^{xcosalpha}dalpha \ & = frac{x}{pimu^2}e^{-frac{x^2}{2}}int_0^pi e^{frac{1}{2}(frac{1}{mu}-xcosalpha)^2}int_a^b ze^{-frac{1}{2}(z+frac{1}{mu}-xcosalpha)^2}dzdalpha \ & = frac{x}{pimu^2}e^{-frac{x^2}{2}}int_0^pi e^{frac{beta^2}{2}}left(e^{-bar{a}^2}-e^{-bar{b}^2}+sqrt{frac{pi}{2}}left(operatorname{erf}bar{a}-operatorname{erf}bar{b}right)right)dalpha end{align}
where $$beta=frac{1}{mu}-xcosalpha$$, $$bar{a}=frac{a+beta}{sqrt{2}},bar{b}=frac{b+beta}{sqrt{2}}$$, $$operatorname{erf}$$ is the error function.

Then I got stuck at the second integral. I am looking for an analytical expression of $$f_{X|Z}(x|(a,b))$$. I tried numerical integration and compared it to a simulation using matlab. The results are as expected.

Finally, what I want is an analytical expression of $$overline{F}_{X|Z}(x|(0,c))=P(X>t|Zleq c)=int_t^infty f_{X|Z}(x|(0,c))dx$$ and $$overline{F}_{X|Z}(x|(c,infty))=P(X>t|Zgeq c)=int_t^infty f_{X|Z}(x|(c,infty))dx$$.

Is it possible?

## Sharepoint list. Conditional required field – how switch off

In my sharepoint list there is two column: A and B (both of them are required.
Scenario. If user will input value in column A, he dont need fill column B. And reverse, if the user enters the value of B column in column A – he dont need to enter value.

The requirement is important, but how to control it?

## Conditional Probability of first and second letters in a data set of strings

I have a dataset of strings and I would like to take only the first two letters of each string and find the conditional probability P(Second Letter|First Letter) while only looking at the words of the dataset. I can split the words and make another list with only the first two letters of each word but I’m having difficulty figuring out a way to say for example, all of the two-letter word snippets that start with ‘a’ what is the probability that a,b,c…z will follow as the second letter. I want to do the probability for every letter pair and put it into a 3D histogram where the x-axis will be the first letter chosen, the y-axis will be the second letter and the height will be the probability that that pair occurs within the chosen dataset.

Example:
Original dataset {cat,dog,human}
dataset split to only include the first two letters {ca,do,hu}

I’ve been trying to figure out a way to do it and I just can’t seem to get it. I attempted to search to see if anyone has asked a question like mine but I didn’t see anything like it. Any help is thoroughly appreciated.

## Conditional Dependency of Markov model

When studying the Markov model, I see this equation but I don’t understand where does it come from. Can anyone explain to me? Many thanks

$$P(x)P(y|x)P(z|y) = frac{P(x)P(x,y)P(z,y)}{P(x)P(y)}$$ how to change it the equation above?