Customization – How does WordPress add content blocks to publish and refer to a relationship?

I'm using a plugin that uses custom content types for posts. I think what I'm trying to do is have a general question about the WordPress workflow versus the plugin. That's what the plugin said in LearnDash.

Well, I have a post type. Call Topic, I want a Topic to have Exerciseswhere the exercises will be a content block. I do not need exercises to have a route. That is, no URL. Just like adding a div or a block, but where can the exercises be referenced?

For example, I might want to have a right sidebar on a topic page that lists the exercises for this topic with a URL leading to the anchor on the page for the exercise.

Or in my navigation menu for a lesson where you see


I might want to show


Do you understand what I mean? I really do not need an exercise to have a content type that is routable. All I have to do is use exercises as blocks, which I then refer to as a collective.

So try to figure out how to do this with a plugin or by encoding.

Thank you very much,

Probability – The relationship between the infinitely countable space and the $ sigma $ -additive property

I saw a question to prove it

"There is no probability for a countable infinite space defined $ Omega $ Assign the same probability to everyone $ omega in Omega $, "

The proof contains the following equations
$$ 1 = p ( omega) = p left ( bigcup limits_ {i = 1} ^ { infty} {w_i } right) = sum_ {i = 1} ^ { infty} p (w_i) = sum_ {i = 1} ^ { infty} p $$

I wonder what it's like $ p left ( bigcup limits_ {i = 1} ^ { infty} {w_i } right) = sum_ {i = 1} ^ { infty} p (w_i) $ without considering that the events are disjoint?

Can we remember that events in an infinitely countable space are always disjoint?

Those interested in the reference can view pages 14 and 15 in this file

sql – Relationship between different file tables

In Access, it is possible to establish relationships between tables that reside in different banks (files). This function is called in the join of Access tables. In other words, I can have a table named CUSTOMER in a .accdb file and link it to a table called ADDRESS, which is in another .accdb file. This is useful for minimizing concurrency issues and bypassing the 2 GB limit per file that Access has.
Are there similar ones in SQLite?

Combinatorics – I want to find a relationship between $ X (l, t) $ and $ Y (l, t) $

To let $ X (l, t) = 4t sum_ {n = 0} ^ {l-1} binom {2n} {n} t ^ n $ and $ Y (l, t) = sum_ {n = 0} ^ {l-1} n binom {2n} {n} t ^ n $, Where $ l in mathbb {N} $,

I want to find an explicit relationship between $ X (l, t) $ and $ Y (l, t) $,

My approach:

Multiply $ Y (l, t) $ by $ 4k, we get
$$ 4tY (l, t) = 4t sum_ {n = 0} ^ {l-1} n binom {2n} {n} t ^ n. $$

But it is still not the same $ X (l, t) $ because of the absence of the factor $ n $ in the $ X (l, t) $,

I could not find a relationship between $ X (l, t) $ and $ Y (l, t) $,

Can someone help me please?

Who invented social media?

Hello friends,

I would like to know who invented social media?

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Programming Languages ​​- What relationship and differences exist between reification and cross-semantic semantics? says

Delete type refers to the load time process, which removes explicit type annotations from a program before it runs at run time. Operational semantics that do not require any type-aware programs are called Semantics of type cancellationto contrast Type transfer semantics, The ability to specify a type-delete semantics is a kind of abstraction principle that ensures that the run-time execution of a program does not depend on type information. In the context of generic programming, the opposite is called the type cancellation reification,

  • Opposed the semantics of reification and type transfer of type cancellation?
  • In which relation and between which differences is the semantics of reification and type transfer? Do they mean the same thing?

The best I can find out about them are the following two books. I'm not sure about my question yet.

About type-deletion against type-transfer, Types and programming languages from Pierce says:

23.7 Deletion and Evaluation Sequence

The operating semantics assigned to the system F in Figure 23-1 is a Type handover
: When a polymorphic function encounters a type argument, the type is
actually used in the body of the function. The ML implementation of
System F in Chapter 25 does just that.
In a more realistic interpreter or compiler for a programming language
Based on system F, this type of manipulation could be a runtime type
considerable costs. In addition, it is easy to see that type comments at runtime do not play a significant role as no run time decisions are made
The Basis of Types: We can take a well-typed program, rewrite its type annotations arbitrarily, and get a program that behaves the same way.

For these reasons, many polymorphic languages ​​use a instead Type erasure
, where all types are deleted after the type check phase and
The resulting untyped terms are interpreted or compiled into machine code.

About the kind of cancellation vs reification, Programming language pragmatics from Scott says:

C # 2.0 could implement an implementation based on reference rather than
Clear, Rei fi cation creates a different concrete type each time a generic is instantiated with different arguments. Some types are visible in the reflection library (csNames.GetType().ToString() returns "Arbiter 1 (System.Double)"
and it is perfectly acceptable to call new T() if T is a type parameter with a null argument constructor (a limitation is required for this effect). Besides, where
The Java compiler must generate implicit type transformations to meet the requirements of
to ensure the virtual machine (which knows nothing about generic drugs) and type-safe
Interaction with old code (which can pass a parameter or return a result of)
(an inappropriate type), the C # compiler can be assured that such checks will never be performed
be needed and can therefore be omitted. The result is faster code.

Thank you very much.

Programming Languages ​​- What is the difference and the relationship between Type Check and Type Check?

in the Types and programming languages from Pierce,

The ML-type let polymorphism was first described by Milner (1978). A row
Various types of reconstruction algorithms have been proposed
Algorithm W (Damas and Milner) by Damas and Milner (1982, see also
Lee and Yi, 1998). The main difference between algorithm W and
This chapter states that the former specializes in the following "Pure guy
Assigning main types to completely untyped lambda
Terms – while we have mixed type testing and type reconstruction, permission-
Terms must contain explicit type annotations that may or may not include
Variables. This makes our technical presentation a bit
Especially the proof of completeness, Theorem 22.3.7, where we have to be careful
to separate the programmer's type variables from the ones introduced
but it fits better with the style of the
other chapters.

What is the difference and the relationship between type testing and type testing?

Does the type check only apply to terms with explicit type annotations that do not contain type variables?

Does the type reconstruction only apply to terms that have no explicit type annotations or explicit type annotations that contain type variables?

Thank you very much.

ds.dynamical systems – Relationship between irregular set of Hausdorff dimension and regular sentence

To let $ T: X rightarrow X $ be a continuous function in a compact metric space $ X $, To let $ Lambda $ be an attractor who is transitive. To let $ f: X rightarrow mathbb {R} $ be a Holder duration function. It is known that there is a unique state of equilibrium for the potential $ – log f $,

We define the irregular set for the Birkhoff spectrum of $ f $ by

$$ mathbb {L} _ {a} ^ {b} = {x in lambda, a: = liminf_ {n rightarrow infty} int – log fd mu <b: = limsup_ {n rightarrow infty} int – log fd mu }, $$
and for every measure of probability $ mu $ on $ X $, We also show the regular set for the Birkhoff spectrum of $ f $ by
$$ mathbb {L} _ {c} = {x in lambda, c: = lim_ {n rightarrow infty} int – log f d mu }. $$

This is shown by Barreira and Schmeling $ dim_ {H} mathbb {L} _ {a} ^ {b} < dim_ {H} Lambda $ iff $ mu $ is not a measure of equilibrium.

I have the following question:

Is it true
$ dim_ {H} mathbb {L} _ {a} ^ {b} = min_ {c in [a, b]} dim_ {H} mathbb {L} _ {c}? $
If so, please give me a hint.

What are the negative effects of social media?

Hello friends,

What are the negative effects of social media?

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