Possibility to use the master method on T (n) / g (n) = aT (n / b) + f (n)

The master theorem can be used in case of recurrence relation of the form

1) $ T (n) = aT ( frac {n} {b}) + f (n) $

My question is whether it can be applied if

2) $ frac {T (n)} {g (n)} = aT ( frac {n} {b}) + f (n) $.

My intuition is that it should be possible: just solve equation 2 by solving equation 1, then multiply the asymptotic bound that I get by $ g (n) $

I just can't prove it

possibility to connect wp-admin to set the VAT tax

wc_tax_exempt_unlogged () function {

// Getting user data for logged users
if( is_user_logged_in() ){
    $current_user = wp_get_current_user();
    $current_user_id = $current_user->ID;
    $current_user_roles = $current_user->roles;
    $bilal_id = 0;

// Exempting of VAT non logged users, customers and the main admin ID (you)
if( ! is_user_logged_in() || in_array( 'customer', $current_user_roles ) || $bilal_id == $current_user_id ){

add_action (& # 39; init & # 39 ;, & # 39; wc_tax_exempt_unlogged & # 39;);

do not wotking my theme wp-content / themes / biagiotti / framework / modules / footer / templates

SQL Server – How to get the first and last value by the same element in order, with the possibility that the same element will happen again

Similar to this question, but with the possibility that the same name may appear again in the following lines.

I have this table:

id name     value
1  Daniel   3
2  Daniel   7
3  Daniel   2
4  Carol    9
5  Carol    4
6  Carol    9
7  Ray      5
8  Charles  1
9  Daniel   6
10 Daniel   5
11 Daniel   5

I would like to get the first and the last value (ordered by id) in an array like:

name    value_1st  value_last
Daniel  3         2
Carol   9         9  
Ray     5         5
Charles 1         1
Daniel  6         5

Is there a possibility of botnet exploitation?

is it true ?


I heard that most hackers use cryptojacking

LF is a developer qualified in html / css and javascript knowledge. [Ongoing Work Possibility]

Hello DP dev.

Thanks for taking the time to read more about the thread title:
LF is a developer qualified in html / css and javascript knowledge.

php and sql is a definite bonus.

Send me a message directly with your experience with the language and I will present a simple task to you. If you happen to be the right candidate for the job, opportunities for continuous work may arise.

Thank you once again and I look forward to hearing from you!

simulation – Does the pigeonhole principle exclude the possibility of simulating a universe the size of ours without loss?

Suppose you have a very powerful computer and you want to run a lossless simulation of a universe roughly the same size as ours: $ 10 ^ {80} $ particles.

Each particle in the simulation has properties such as speed, mass, charge, etc. that you would need a computer consisting of at least $ n $ particles to losslessly simulate a universe of $ n $ particles?

I say this because I don't see how it is possible to store all the physical properties of a particle on a piece of material without using at least one real physical particle.

Am I right about this? Does this mean that it would be impossible to hope that we could create a high resolution lossless simulation with a number of particles similar to the actual number of particles in our universe?

magento2 – Alternative obsolete registry using a session or any other possibility for the "custom module"

In my case, I created the Blog module and at the same time current_blog_post from the URL ID, I register in coreRegistry and use registry to get the value in various places.

  1. register is used in Controller to get the current ID when editing the form.
    The code below is located in

    myVendor / myModule / Controller / Adminhtml / Post / Edit.php

enter the description of the & # 39; picture here

  1. Likewise, the saved value is called up via registry in various places such as

enter the description of the & # 39; picture here

Question: Is there another way instead of using the registry as it is obsolete?

Note: I have referred to many places, including atwix and in the sense that they have shown that the registry stores the values ​​already recorded by the kernel. In my case, I use register and get the recorded value using registry.

dnd 5e – "does not larger than" imply a possibility of formatting?

Basic rules of the area of ​​effect

Regarding the area of ​​effect …

The description of a spell specifies its area of ​​effect, which usually has one of five different shapes: cone, cube, cylinder, line or sphere. Each area of ​​effect has a point of origin, a place from which the energy of the spell explodes. The rules for each shape specify how you position its origin point. Typically, an origin point is a point in space, but some spells have an area whose origin is a creature or object.

The linked section continues to explain exactly what each of the five basic shapes means, and none allow formatting.


One of the design precepts of the 5th edition is plain language – in other words, spells, characteristics, and traits only do what they say they do. Take these spell descriptions for example …

  • Wall of fire

    You create a wall of fire on a solid surface within reach. You can make the wall up to 60 feet long, 20 feet high and 1 foot thick, or a corrugated wall up to 20 feet in diameter, 20 feet high and 1 foot # 39; thickness.

  • Force wall

    A wall of invisible force arises at a point you choose within range. The wall appears in the orientation you choose, as a horizontal or vertical barrier or at an angle. It can float freely or rest on a solid surface. You can shape it into a hemispherical dome or a sphere with a radius of up to 10 feet, or you can shape a flat surface made up of ten panels 10 feet by 10 feet. Each panel must be contiguous to another panel. In any shape, the wall is 1/4 inch thick.

  • Wall of ice

    You create a wall of ice on a solid surface within reach. You can form it into a hemispherical dome or a sphere with a radius of up to 10 feet, or you can shape a flat surface made up of ten 10-foot square panels. Each panel must be contiguous to another panel.

  • Light wall

    A wall glistening with bright light appears at a point you choose within range. The wall appears in the orientation you choose: horizontally, vertically or diagonally. It can float freely or rest on a solid surface. The wall can measure up to 60 feet long, 10 feet high and 5 feet thick.

  • Stone wall

    A non-magical wall of solid stone begins at a point you choose within range. The wall is 6 inches thick and is made up of ten 10-foot by 10-foot panels. Each panel must be contiguous with at least one other panel. Alternatively, you can create 10 foot by 20 foot panels that are only 3 inches thick. (…) The wall can have any shape you want, although it cannot occupy the same space as a creature or object. The wall does not need to be vertical or rest on a solid base. However, it must merge with the existing stone and be solidly supported by it. So you can use this spell to fill a chasm or create a ramp.

These spells all create walls but have very specific and different rules for how these walls can be carved. Two can float in the air at any angle you like (light and strength), the rest must touch the ground or a particular material. Some are built with panels of a particular size (Strength, Ice, Stone), while others have a defined size (Light and Fire). Some must be a flat plane or a sphere (Force and Ice), while others can be shaped endlessly (Stone) or can make cylindrical rings (Fire).

It is quite clear from these examples that the rules for formatting a spell, when available, are specific to the individual spell. What is true for one spell is not true for others.


One of the core concepts of 5E is design based on exceptions. If something is supposed to be different from the general rules, it will say so – and the explicit exception prevails. General rules are covered in the area of ​​effect and do not provide for any formatting.

As mentioned earlier, another fundamental concept is the use of natural language. If he doesn't say he can be shaped, he can't be shaped.

Specific example

The specific example, Alarm …

Choose a door, window or area within reach that does not exceed a 20-foot cube.

A suggested answer to the linked question suggests that you can divide it into blocks. The spell does not say a certain number of cubic feet, nor panels, nor ring, nor anything else. A room is a "zone" in plan language, so Alarm fills the specific shape of a room, as long as that room is "no bigger than a 20-foot cube". If you're outside, it could cover a smaller area (like a clearing) as long as that area is "no bigger than a 20-foot cube". But turn it into a ring (square or other) – no.

Webhoster which offers the possibility of adding many external domains?


I am looking for a web host that offers the ability to add multiple domains from an external domain host (Namecheap) within a same account. The sites will have a very small traffic, so I do not need big hardware, lots of traffic, and so on.

As I understand it, Hostinger offers this feature. They allow up to 300 areas for their business plan, but I've read a lot of bad reviews about them, so I'm looking for alternatives.

Could you please suggest me to other web hosts that offer this?

Thank you, weber71

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