## postgresql – ERROR: The pg_enum table can not be updated because it has no replica identity and publishes updates

I tried to update the enumelabel with the following SQL query

``````UPDATE pg_enum SET enumlabel = & # 39; Cash Recivied & # 39; WHERE enumtypid = & # 39; 1203702 & # 39; AND enumlabel = & # 39; Cash & # 39 ;;
``````

but it raises a mistake

``````ERROR: The pg_enum table can not be updated because it has no replica identity and publishes updates

TIP: To enable refreshing the table, set REPLICA IDENTITY to ALTER TABLE.
``````

So I tried to change the table with a query

``````ALTER TABLE pg_enum REPLICA IDENTITY FULL;
``````

but got a mistake

``````ERROR: Permission denied: "pg_enum" is a system catalog
SQL status: 42501
``````

Is there a solution for this?

## Forest identity for a continuous stochastic process

https://en.wikipedia.org/wiki/Wald%27s_equation

Holds for discrete stochastic process. Is there a version of such an equation for a continuous stochastic process?

## macos – What is Identity Services?

* Just a foreword I have nothing with my computer (MacBook Pro (retina, 15 inches, mid-2015), Mojave 10:14 4) and I learned when I went along.

While cleaning my computer, I noticed a key in my so-called login keychain ,

The only information listed is `identityservicesd.app`

What can you find on Google, StackExchange, StackOverflow, Apple Support Forums, Reddit, and Blogs? `identity service`:

1. Macinside.info – `Identitätsservicesd` is a background process (Identity Services Daemon) that deals with third-party credentials.
2. People who complain about bugs, performance issues, logon failures, repeated requests to request system access, security concerns.
3. Suggested solutions to these problems (if you have these problems, it is more or less recommended that you follow these steps)
4. No further information about the process.

So…

• What is `Identitätsservicesd`?
• Is this what Macinside.info has described?
• Why is it that there is credentials in my just-mentioned keychain? ?
• What measures can be taken if you are unsure about a certificate or key?

Even if this is a benign background process, it seems to work in a strange way when it needs to interact with the user. This can be very disturbing or confusing for someone who does not know (me). Since the information on this is quite limited, I hope at least to clarify the strange behavior that I have described.

For anyone else who wants to see what I've reviewed, read on.

## Where is this on my Mac?

Use `sudo find / -iname "* identityservicesd *"`

``````/System/Library/Sandbox/Profiles/com.apple.identityservicesd.sb
/System/Library/LaunchAgents/com.apple.identityservicesd.plist
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/MacOS/identityservicesd
/private/var/root/Library/Preferences/com.apple.identityservicesd.plist
/ private / var / folder / cy /[hash#]/T/com.apple.identityservicesd
/ private / var / folder / cy /[hash#]/C/com.apple.identityservicesd
~ / Library / Preferences / ByHost / com.apple.identityservicesd.[hash#].plist
~ / Library / Preferences / com.apple.identityservicesd.plist
``````

Note: [hash#] yourself entered. I also had the success earlier `Operation inadmissible` Error by changing the privacy permissions, but the error was returned again and can no longer be accessed.

`sudo locate -i "* identityservicesd *"` worked predictably. Search only within system files, but go deeper into the files.

``````/System/Library/LaunchAgents/com.apple.identityservicesd.plist
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Info.plist
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/MacOS
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/MacOS/identityservicesd
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/PkgInfo
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/FaceTime.icns
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/IDS.icns
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ar.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ar.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ar.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ca.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ca.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ca.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/com.apple.private.alloy.digitalhealth.plist
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/com.apple.private.alloy.facetime.lp.plist
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/cs.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/cs.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/cs.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/da.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/da.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/da.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/el.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/el.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/el.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/en.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/en.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de_AU.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de_AU.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/en_AU.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de_GB.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de_DE.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/de_DE.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es_419.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es_419.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/es_419.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fi.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fi.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fi.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr_CA.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr_CA.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/fr_CA.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/he.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/he.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/he.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hi.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hi.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hi.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hr.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hr.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hr.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hu.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hu.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/hu.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/iCloud.icns
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/id.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/id.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/id.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/it.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/it.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/it.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ja.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ja.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ja.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ko.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ko.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ko.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ms.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ms.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ms.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/nl.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/nl.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/nl.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/no.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/no.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/no.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pl.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pl.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pl.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt_PT.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt_PT.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/pt_PT.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ro.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ro.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ro.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ru.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ru.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/ru.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sk.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sk.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sk.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sv.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sv.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/sv.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/th.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/th.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/th.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/tr.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/tr.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/tr.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/uk.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/uk.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/uk.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/vi.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/vi.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/vi.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_CN.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_CN.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_CN.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_HK.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_HK.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_HK.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_TW.lproj
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_TW.lproj/IDSLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/Resources/zh_TW.lproj/IdentityServicesLocalizable.strings
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/_CodeSignature
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/_CodeSignature/CodeResources
/System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app/Contents/version.plist
/System/Library/Sandbox/Profiles/com.apple.identityservicesd.sb
``````

Everything looks good.

Extend the search to "identity services", `Find` intercepts both "Identity Services" and "Identity Services" files `~ / Library`

`sudo mdfind -onlyin ~ / Library "Identity Services"` 0 files found in `~ / Library`,

Of course, both processes are different.

What started this hunt was that `mdfind` could find other file name searches in `~ / Library`, but `~ / Library / IdentityServices` was not found when searching. At the beginning, I thought this was something malicious, but I think it just could not be listed.

## Certificates

`codesign --display --verbose = 4 /System/Library/PrivateFrameworks/IDS.framework/identityservicesd.app`

``````Executable = System / Library / PrivateFrameworks / IDS.framework / identityservicesd.app / Contents / MacOS / identityservicesd
Identifier = com.apple.identityservicesd
Format = App Package with Mach-O-Thin (x86_64)
CodeDirectory v = 20100 size = 60332 flags = 0x0 (none) hash values ​​= 1878 + 5 location = embedded
Platform ID = 7
VersionPlatform = 1
VersionMin = 658944
VersionSDK = 658944
Hash_type = sha256 size = 32
CandidateCDHash sha256 =
Hash decisions = sha256
Page size = 4096
CDHash =
Signature size = 4485
Authority = sign software
Authority = Certification Authority for the Apple Code Signing Authority
Authority = Apple Root CA
Info.plist entries = 31
TeamIdentifier = not set
Sealed resource version = 2 rules = 13 files = 84
Internal requirements include = 1 size = 76
``````

What worried me was three things: the TeamIdentifier was not set, the Authority and if I could not get an issue `shasum -a 256 `,

• `openssl dgst -sha256 ` sorted out the hash check.
• Do not know why TeamIdentifier is not set
• According to Apple's TrustStore, "Apple Root CA" is trustworthy, but I can not mention either "Apple Code Signing Certification Authority" or "Software Signing."

Still relatively new inside a Mac and the terminal

## asp.net – Testing the .Net Core Identity GetUserAsync

With .NET Core 2.2 I try to test a Razor page with Identity Framework, which starts like this

``````var user = await _userManager.GetUserAsync (user);
``````

There are many solutions online that can be summarized by this generic class: setting up the UserManager on an IUserStore mock and setting up the user in the PageContext.

``````public class SetupContext where T: IdentityUser, New()
{
public mock <IUserRoleStore> MockUserStore {get; private set; }

public user manager SetupUserManager ()
{
MockUserStore = new mock <IUserStore> (). As <IUserRoleStore> ();
MockUserStore.Setup (x => x.FindByIdAsync (It.IsAny.)(), It.IsAny())). ReturnsAsync (
(String-ID, CancellationToken-Token) => new T ()
{
Id = Guid.Parse (id),
});
Return a new UserManager(MockUserStore.Object, zero, zero, zero, zero, zero, zero, zero, zero);
}

public PageContext SetupPageContext ()
{
var identity = new GenericIdentity (displayName);
Var principle = new ClaimsPrincipal (identity);
var httpContext = new DefaultHttpContext ()
{
User = principle
};
var modelState = new ModelStateDictionary ();
var actionContext = new ActionContext (httpContext, new RouteData (), new PageActionDescriptor (), modelState);
var pageContext = new PageContext (actionContext)
{
ViewData = ViewData
};
return pageContext;
}
}
``````

The problem is that this does not work. GetUserAsync calls GetUserId calling

``````principal.FindFirstValue (Options.ClaimsIdentity.UserIdClaimType)
``````

This claim is not established, in fact, no ID is set up at any point, so neither the user nor the user ID can be returned. Then I want to later access database data belonging to UserId to test.

I searched for a long time and did not find the solution. I seem to be 90% there, but what else do I need to set up the test properly?

The test I'm going to do is set up that way

``````private async task SetupModelAsync ()
{
_db = new RemoteHealingTechDbContext (InMemoryDbContextGetTestDbOptions ());
Wait SeedData.Initialize (_db);
var _setup = new SetupContext();
var userManager = _setup.SetupUserManager ();
var pageContext = _setup.SetupPageContext ();
return new FreeTrialModel (_db, userManager)
{
PageContext = pageContext
};
}
``````

## Number theory – is this a new Fibonacci identity?

I found (and proved) the following Fibonacci identity.

If $$F_n$$ denotes the nth Fibonacci number, we have the following identity
$$begin {equation} F_ {nr + h} F_ {n + k + g + 1} – F_ {nr + g} F_ {n + k + h + 1} = (-1) ^ {n + r + h + 1} F_ { gh} F_ {k + r + 1} end {equation}$$
from where $$F_1 = F_2 = 1$$, $$r leq n$$, $$h leq g$$, and $$n, g, k in mathbb {N}$$,

It is not too difficult to show that this identity takes up the identity of Cassini, the identity of Catalan, the identity of Vajda, and the identity of d 'Arcagne, to name but a few.

I did a pretty thorough literature research, and I did not find anything like that, but I'm still wondering if anyone has ever seen that identity before. I discovered this by accident after discovering some patterns in some analysis work. So if this is already known, I would be curious about the context. Thank you for your patience and your contribution!

## Identity problem of the vector calculation

This is a sequel from another post. I used the integration symbol available in Basic Math Assistance available in Wolfram Mathematica.

I'm new to vector calculations. There is a familiar identity in the textbooks

$$int _ {4 pi} has {s} ( has {s} cdot A) d omega = frac {4 pi} {3} A$$

I have no idea how to do this kind of integration. This is what I tried, but return a disaster

``````Integrate[s*(Dot[s, A]), s, {0, 4 [Pi]}]
``````

Even without success

``````Integrate[{Sin[[Theta]],
cos[[Theta]]}*(Point[{Sin[[Theta]]Cos[[Theta]]}, {a1,
a2}]), [Theta]{0, 4 [Pi]}]
``````

It's obvious that I basically do not do something right. I go to the World Cup documentary for the vector calculus, but do not offer much substance or examples. How do you enter the above equation to return the identity to the right?

UPDATE 1

In response to comment here is a copy of the text. This is from page 10 Optical-thermal response of laser irradiated tissue ISBN 9789048188307

$$w$$ is the surface of a sphere at a fixed angle. s is the direction vector of a radiation beam inside the sphere

## Discrete Mathematics – Consider the identity kC (n, k) = nC (n-1, k-1), where 1 holds

I tried to search everywhere to get a clear understanding of the answer, but I'm at a loss. The book says that if n = 1, then k = 1. Suppose the identity is true for n-1, we will shoot it for n. If k = n, then both sides are equal to n. Otherwise, k ≤ n-1.

kC (n, k) = k (C (n-1, k) + C (n-1, k-1))

= kC (n-1, k) + (k-1) C (n-1, k-1) + C (n-1, k-1)

= (n-1) C (n-2, k-1) + (n-1) C (n-2, k-2) + C (n-1, k-1)

= (n-1)[C(n-2,k-1)+C(n-2,k-2)]+ C (n-1, k-1)

(this is not complete because I get how to get nC (n-1, k-1))

Anyway, I understand the first two rows. However, I do not know where the parts (n-1), (n-2), (k-2) came from.

I'm sorry if I'm wrong on this part, but is the reason for replacing k with (n-1) because k = n-1?

## How can I find the URL of the SAML 2.0 identity provider in ADFS?

My company offers a system that supports SAML 2.0. A customer has purchased this system and wants to set up single sign-on with SAML. It's easy with GSuite, but our client tries this with ADFS. The documentation seems extremely complex. (Part of the problem seems to be that ADFS is configurable so that the pages on docs.microsoft.com are tangent and offer too many options.) Some of the best documents for this are provided by other systems, such as Zendesk support: https://support.zendesk.com/hc/en-us/articles/203663886-setting-up-single-sign-on-using- Active Directory-with-ADFS-and-SAML-Professional-and- Enterprise, but nothing seems clear where the ADFS administrator can find the URL of the identity provider to be set in our system. Where can this URL be found?

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