polynomials – Term for a convex function & # 39; general & # 39;

Mathworld defines a convex function as

(…) a continuous function whose value at the midpoint of each interval in its domain does not exceed the arithmetic mean of its values ​​at the extremes of the interval.

Is there a name for a function for which the above is true, but only for intervals greater than the value of sone? Maybe something like this:

A < insert-function-name-here > it is a continuous function $ f $ for which there is such a value of $ p in mathbb {R} $ such that the value at the midpoint of each interval greater than $ p $ in the domain of $ f $ does not exceed the arithmetic mean of its values ​​at the end of the interval.

Specifically, I'm thinking about functions like
$$ f (x) = x / 20 – x ^ 2/80 + x ^ 4/20000 $$
In the context of optimization. Basically, the functions that go to infinity towards the edges of your domain and have a general "fall" in the middle. The previous function is not convex, but it can be optimized and its (global) minimum can be easily found. $ -f (x) $ It is also not convex and can not be optimized.

Maybe something like 'broad convex convex & # 39 ;? However, I prefer to use an established term instead of proposing mine.

man in the middle – mitmproxy: Error starting the proxy server: OSError (98, & # 39; Address already in use & # 39;)

I just installed the mitmproxy tool. I want to run it Once I write: sudo mitmproxy I get this error:

Failed to start the proxy server: OSError (98, & # 39; Address already in use & # 39;)

I searched and found some suggestion to change the port by typing: sudo mitmproxy -p 99999 However, I think this can cause problems for me, as I will do with the manipulation of HTTPS traffic.

Can you help me please to solve the error?

druid: A & # 39; Attack with melee spells & # 39; use spell or force statistics?

The spell & # 39; Flame Blade & # 39; makes a sword of fire with which you can perform a spell attack melee, but, as a druid with greater wisdom, I would prefer it to be based on that than on my strength, but I'm not sure if I would use my wisdom or strength, considering that it is a & # 39;confused fight spell out attack. So, would you use my wisdom for the blow or my strength? Because I feel that if it is based on strength, there is no real need for the spell for a druid.

c # – Unit: animation & # 39; Quaternion.RotateTowards & # 39; it is too fast (instantaneous)

I have a 'block' scenario on a hinge & # 39; where I just want it to turn smoothly to the position of a step. I got into this for a day and finally verified that my start and end angles are correct. The problem now is that the rotation animation is instantaneous rather than smooth over time. How can I adjust this so that the rotation takes about 2 seconds? Connect this to the argument & # 39; maxDegreesDelta & # 39; He felt intuitive but did nothing at all:

endAngle * Time.deltaTime / 2.0f

See the documentation

The block itself is linked to this vacuum (location of the hinge):
The block itself is linked to this vacuum (location of the hinge)

The father of all the hinges is only 10 blocks in a row rotated by $ – arctan { left ( frac {4} {3} right)} $ (so that's the angle to undo):
The father of all the hinges is only 10 blocks in a row rotated by -arctan (4/3):

Here is the script:

using System.Collections;
using System.Collections.Generic;
using UnityEngine;

SpinningPublic class session: MonoBehaviour
{
    [SerializeField]
    GameObject triggerObj;
bool deactivated = false;
Quaternion startAngle;
Quaternion endAngle;
// Start is called before the first frame update
void Home ()
{
startAngle = transform.localRotation; // Right
Debug.Log (startAngle.eulerAngles);
endAngle = startAngle * Quaternion.Euler (Mathf.Rad2Deg * Mathf.Atan (4.0f / 3.0f), 0,0);
Debug.Log (endAngle.eulerAngles); // FINALLY correct!
}

// The update is called once per frame
Null update ()
{
disabled = GameObject.Find (triggerObj.name) .GetComponentInChildren().disabled;

yes (disabled)
{
gameObject.transform.rotation = Quaternion.RotateTowards (startAngle, endAngle, Time.deltaTime);
}
}
}

c ++ – Making an example of & # 39; Clean Code & # 39;

I'm a C ++ developer, and recently I started working through Clean code*. Every time I find an example that I think could be improved, I try to redeploy it in C ++.

On pages 28-29 there is an example with a message construction class, which looks like this when implemented in C ++ (namespaces and spaces omitted are included):
.h

GuessStatisticsMessage class
{
public:
GuessStatisticsMessage () = default;
~ GuessStatisticsMessage () = default;

std :: string make (candidate char, int count);

private:
void createPluralDependentMessageParts (int count);
void createThereAreManyLetters (int count);
void createThereIsOneLetter ();
void createThereAreNoLetters ();

std :: string number;
std :: string verb;
std :: string pluralModifier;
};

.cpp

std :: string GuessStatisticsMessage :: make (candidate char, int count)
{
createPluralDependentMessageParts (count);
return fmt :: format ("There {} {} {} {}", verb, number, candidate, pluralModifier);
}

void GuessStatisticsMessage :: createPluralDependentMessageParts (int count)
{
yes (account == 0) {
createThereAreNoLetters ();
} else if (count == 1) {
createThereIsOneLetter ();
} else {
createThereAreManyLetters (count);
}
}

void GuessStatisticsMessage :: createThereAreManyLetters (int count)
{
verb = "are";
number = std :: to_string (count);
pluralModifier = "s";
}

void GuessStatisticsMessage :: createThereIsOneLetter ()
{
verb = "is";
number = "one";
pluralModifier = "";
}

void GuessStatisticsMessage :: createThereAreNoLetters ()
{
verb = "are";
number = "no";
pluralModifier = "s";
}

In an attempt to make this code more functional, I ended up with the following:
.h

class GuessStatisticsMessageAlt
{
public:
GuessStatisticsMessageAlt () = default;
~ GuessStatisticsMessageAlt () = default;

std :: string make (candidate char, int count);

private:
struct MessageComponents
{
std :: string verb;
std :: string number;
std :: string pluralModifier;
};

MessageComponents createPluralDependentMessageParts (int count);
MessageComponents createThereAreManyLetters (int count);
MessageComponents createThereIsOneLetter ();
MessageComponents createThereAreNoLetters ();
};

.cpp

std :: string GuessStatisticsMessageAlt :: make (candidate char, int count)
{
auto messageComponents = createPluralDependentMessageParts (count);
returns fmt :: format ("There {} {} {} {}", messageComponents.verb, messageComponents.number,
candidate, messageComponents.pluralModifier);
}

GuessStatisticsMessageAlt :: MessageComponents GuessStatisticsMessageAlt :: createPluralDependentMessageParts (int count)
{
yes (account == 0) {
return createThereAreNoLetters ();
} else if (count == 1) {
returns createThereIsOneLetter ();
} else {
return createThereAreManyLetters (count);
}
}

GuessStatisticsMessageAlt :: MessageComponents GuessStatisticsMessageAlt :: createThereAreManyLetters (int account)
{
return {"are", std :: to_string (count), "s"};
}

GuessStatisticsMessageAlt :: MessageComponents GuessStatisticsMessageAlt :: createThereIsOneLetter ()
{
returns {"is", "one", ""};
}

GuessStatisticsMessageAlt :: MessageComponents GuessStatisticsMessageAlt :: createThereAreNoLetters ()
{
returns {"are", "no", "s"};
}

As at this point there was no real need for a class, I continued, arriving at the final result:
.h

std :: string makeGuessStatisticsMessage (char candidate, int count);

.cpp

namespace {

struct MessageComponents
{
std :: string verb;
std :: string number;
std :: string pluralModifier;
};

MessageComponents createThereAreManyLetters (int account)
{
return {"are", std :: to_string (count), "s"};
}

MessageComponents createThereIsOneLetter ()
{
returns {"is", "one", ""};
}

MessageComponents createThereAreNoLetters ()
{
returns {"are", "no", "s"};
}

MessageComponents createPluralDependentMessageParts (int count)
{
yes (account == 0) {
return createThereAreNoLetters ();
}
yes no (account == 1) {
returns createThereIsOneLetter ();
}
else {
return createThereAreManyLetters (count);
}
}

}

std :: string makeGuessStatisticsMessage (char candidate, int count)
{
auto messageComponents = createPluralDependentMessageParts (count);
returns fmt :: format ("There {} {} {} {}", messageComponents.verb, messageComponents.number,
candidate, messageComponents.pluralModifier);
}

The point is that I take a little when to apply different programming paradigms and I find it difficult to decide if my reimplementation is really an improvement in this case. In particular, hiding so many things in the anonymous namespace is something that bothers me a bit.

So, the main question is: is this really an improvement? And high school, how can I learn to judge this better?

I hope you do not rely too much on the opinion, since this is a real struggle for me.


* Clean code: An agile software craft manualRobert C. Martin

In the Gmail Inbox, is there any way to know if I received a message like & # 39; To & # 39; or as & # 39; CC & # 39 ;?

When you look at the list in your Gmail inbox, is there a way to distinguish only the messages that were sent to the inbox as a TO:, and not as DC: or BCC:?

In Slack, we start a paragraph quoted with & # 39; >>> & # 39 ;. How do we end a paragraph quoted?

In Slack, we start a paragraph quoted with >>>.

Is there any way to finish the paragraph quoted and continue writing more unquoted text in the same message?

Social networks – Are the buttons & # 39; share this & # 39; really effective?

Honestly, when it comes to a website where visits to the pages are your main source of income, it helps. As you said, the button does not take up much space or bandwidth, so it really does not detract from the user experience, in any case.

Our research on tasteofhome.com regarding these links showed that it was about 1% of the users who ever clicked on them (so the rule 90/9/1 is probably accurate here, as mentioned above), but they clicked on them. This means that they added traffic to the site in some way, which increases the site's revenue. As long as you are not adding them manually and you can find a visible place to place the button that does not detract from the style and general appearance of the page, then I would say that you should definitely go ahead and use them.

Also remember that even if very few people use the button to share their content, they are adding another external link to their page, which also helps with SEO.

39 domains for $ 29, include: SkyTradingnet, OnlineSystemco.uk

The list of domains is for sales.
Price $ 29 for each one.
Payment: Paypal ,

  1. ControlDocumentcom , Register Dynadot.com, LLC, expires on 2020/8
  2. DevelopingTocom , Register Dynadot.com, LLC, expires on 2020/8
  3. Helping yourcom , Register Dynadot.com, LLC, expires on 2020/8
  4. nobzcom , Register Dynadot.com, LLC, expires on 2020/8
  5. CalendarTaskcom , Register Dynadot.com, LLC, expires 2020/8 …

39 domains for $ 29, include: SkyTradingnet, OnlineSystemco.uk

The character set & # 39; utf8mb4 & # 39; it is not a compiled character set and is not specified in the file & # 39; /usr/share/mysql/charsets/Index.xml&#39;

Complete error

The character set & # 39; utf8mb4 & # 39; it is not a compiled character set and is not specified in the file & # 39; /usr/share/mysql/charsets/Index.xml&#39;
InvalidArgumentException: There was a problem connecting to the database: SQLSTATE[HY000] [2019]    Unable to initialize the utf8mb4 character set (path: / usr / share / mysql / charsets /)

mysql See 14.14 Distrib 5.7.26

I'm trying to fix this error, but I can not fix it on an active server. I had to go through the procedure of adding the following to the /usr/share/mysql/charsets/Index.xml file in a local virtual machine that worked.


  Unicode
  UTF-8 MB4 Unicode
  
    primary
    compiled
  
  
    binary
    compiled
  

I have restarted mysql a couple of times since I updated this in vain. My database connection is shown as such

<? php
$ db = new PDO ("mysql: host = $ host; dbname = $ db; charset = utf8mb4", $ db_username, $ db_pass);

And all the variables in my database seem to be verified based on other publications I've seen

enter the description of the image hereenter the description of the image here

my.cnf has the following set also

set of characters-server = utf8mb4
collation-server = utf8mb4_unicode_ci