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Simplifying Expressions – How do I collect different exponents together?

Suppose I have:

u[x_, y_] := Exp[-I phi] x + Exp[I phi] y + x y;
u0[x_, y_] := 1 + Exp[I phi] x + Exp[-I phi] y;
Expand[u[x, y] u0[-x, -y]]

How do I express the final results as the sum of the various powers of $ x ^ my ^ n $? in the form of $ a_ {00} + a_ {10} x + a_ {01} y + a_ {11} xy + a_ {21} x ^ 2y + a_ {12} xy ^ 2 $

sql server – Collect column names in Dynamic SQL statements

I'm about to update some processes created for SQL 2008R2 to 2016 that use a dynamic result set.

Assuming that there is a procedure that always has exactly one result set, but each time has a dynamic column return, is there any way to capture the column names at runtime in tsql without doing anything?
I'm not worried about data types, just column names.

Thanks a lot!

Unity – Character does not collect animated coins

I'm trying to make a simple game in which the player jumps and collects animated coins. For some reason my character does not collect coins at all. The player is currently in the middle of the coin animation and nothing happens. The option & # 39; isTrigger & # 39; is activated for all coins. This is the code for the coin collection and the scene change.

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

public class Coins : MonoBehaviour
{
    (SerializeField) private string newLevel;
    public int coinAmount;
    int coins ;



        void OnTriggerEnter2d(Collider2D other)
        {
        if (other.CompareTag("Player"))
        {
            coins += 1;

            Destroy(gameObject);
            addCoins();

        }
    }


    void addCoins()
    {
        coins++;

        if (coins == coinAmount)
        {
            SceneManager.LoadScene(newLevel);
        }
    }
}

r – Problems using the Collect function in Tidyr

I'm having trouble using the gather function in R.
This is the sample data frame –

library(dplyr)
library(tidyr)
DF = data.frame(Region = c("Asia", "Asia", "Asia", "Europe", "Europe"),
                `Indicator Name` = c("Population", "GDP", "GNI", "Population", "GDP"),
                `2004` = c(22, 33,44,55,56),
                `2005` =c(223, 44,555,66,64))

Region Indicator.Name X2004 X2005
1   Asia     Population    22   223
2   Asia            GDP    33    44
3   Asia            GNI    44   555
4 Europe     Population    55    66
5 Europe            GDP    56    64

And that's the data frame I want


DF2 = data.frame(Region = c("Asia", "Asia", "Europe", "Europe"),
                 Year =  c("X2004", "X2005"),
                 population = c(22, 224, 55, 66),
                 GDP = c(33, 44, 56,64))

Region  Year population GDP
1   Asia X2004         22  33
2   Asia X2005        224  44
3 Europe X2004         55  56
4 Europe X2005         66  64

I want to do this through the Collect function in Tidyr.
I'm not sure how to do that. I tried that –

gather(DF, key= DF$Indicator.Name, values = "values")

Block – Spending Deadline Vs. Collect incentive date

As a freshman, I am confused between two deadlines. 100 blocks or three consecutive blocks.

My understanding is that:

  • A transaction is only issued if 100 blocks follow its block (validated one).
  • A mining incentive is issued only when the
    Block is considered in the longest general ledger with three uppermost blocks (not yet sure about number three).

Would you please correct me?

Throw exceptions versus collect mistakes

I've written a parser that can contain many different types of errors.
No, I wonder what the better approach is here. Illustration of a call stack as follows:

Parser.parse(input)
-> parseHeaders(input)
-> parseLines(input)
-> some more layers
-> parsePrincipal(input) | parseDate | parseFloat | parse...

In general I have one errors List that collects all errors. Now a colleague has introduced some new data types with a few more levels in the call stack, and instead of passing the error list as a parameter, he has started throwing exceptions, and somewhere in the middle they are intercepted and added to the existing error list.

I wonder if there is an approach better as the others.

A downside to sharing the bugs is that I have code like this:

f(input, errors) {
    if(fail1(input)){
        errors.add()
        return;
    }
    if(fail2(input)){
        errors.add()
        return;
    }
}

vs

f(input, errors) {
    if(fail1(input)){
        throw FooException;
    }
    if(fail2(input)){
        throw FooException;
    }
}

Personally, I prefer to collect the mistakes because I have the opportunity to just go through the code, do multiple checks, and collect as many mistakes as possible.

To edit As stated in a comment, what is my question. I think my question is which way is preferable and if there are any pros / cons that I do not currently see.

Collect 50 real and active email leads with more info for $ 5

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★★ company name
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★ First name
★ surname
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(tagsToTranslate) Lead (t) Generate (t) Web (t) Research (t) B2Blead (t) DataEntr