Intersection Theory – Chow groups and Their Applications

I’m a beginner in the filed of $ Algebraic$ $ Geometry$ , especially the $ Intersection$ $ Theory$ . I came to know that the $ chow$ $ groups$ of schemes are analogs to the $ homology$ $ groups$ of manifolds. I know at least one motivation behind the study of homology groups; they provide invariants of the manifold that can be used for classification purposes. I believe there must be many such motivations/applications of chow groups but right now I am failed to find. Can any of you be kind enough to enlist few of these?

Proper way to map Client Application’s DTO to Service-Proxy’s DataContract

My idea is to not not expose/use service’s Proxy everywhere throughout the application, rather exercising all service communications(using client Proxy) from a single class. To achieve this I have created below class: –

namespace MyOrganization.EventSender {     using MyOrganization.EventSender.DTOs;     using MyOrganization.EventSender.Proxy;     using MyOrganization.EventSender.Utilities;     using log4net;     using Newtonsoft.Json;     using System;     using System.ServiceModel;     using System.ServiceProcess;      /// <summary>     /// The User Session Detail Sender     /// </summary>     public class SessionDataSender : ISessionDataSender     {         private static readonly ILog log = LogManager.GetLogger(System.Reflection.MethodBase.GetCurrentMethod().DeclaringType);         private SessionDataDTO _sessionDataDTO;          public SessionDataSender(SessionDataDTO sessionDataDTO)         {             _sessionDataDTO = sessionDataDTO;         }           public bool Send()         {             try             {                 Proxy.MessageProcessorProxy.SessionDetails sd = new Proxy.MessageProcessorProxy.SessionDetails();                 sd.ChangeTime = _sessionDataDTO.ChangeTime;                 sd.ChangeType = _sessionDataDTO.ChangeType;                 sd.Username = _sessionDataDTO.Username;                 sd.SessionId = _sessionDataDTO.SessionId;                                 log.Info($  "Sending SessionEvent [{sd.ChangeType}] to Web-Srver.");                  var client = new Proxy.MessageProcessorProxy.MessageProcessorClient();                 var response = client.LogEventDetails(sd);                  Proxy.ProxyFactory.CloseProxy(client as ICommunicationObject);                  log.Info($  "Web-Server Response: [{response.ResponseMessage}]. Reference: [ {JsonConvert.SerializeObject(sd)} ] ");                  return true;             }             catch (Exception ex)             {                 log.Error($  "Exception: [{ex.ToString()}]");                  return false;             }         }     } } 

Now, my questions are: –

  • Is it good to map every DTOs into Proxy’s DataContract? As my this class will grow with more service calls with different DTOs.
  • How this class should be architect so that it doesn’t violate SRP/Design-patterns?

Thanks in advance,

What are the applications of topological quantum field theory to continuous-time dynamical systems?

From wikipedia:

In dynamics, all continuous time dynamical systems, with and without noise, are Witten-type TQFTs and the phenomenon of the spontaneous breakdown of the corresponding topological supersymmetry encompasses such well-established concepts as chaos, turbulence, 1/f and crackling noises, self-organized criticality etc.

These are all very “deep” phenomena which are studied in continuous-time dynamics, and its somewhat surprising that TQFT has such a wide range of applications. Unfortunately, that wikipedia article doesn’t include inline citations, so it isn’t clear which source that information comes from. Could someone point to a textbook or review on the applications of TQFT to continuous-time dynamical systems?

EDIT: Is the “topological supersymmetry” bascially the structural stability of the system? That would make sense, except structural stability doesn’t imply topological invariance, just invariance under a certain restricted set of diffeomorphisms (i.e. perturbations).

How can I force my dedicated GPU to handle all applications or disable my integrated GPU?

I’m a software developer and currently Electron, a library I’m using lacks a feature to choose whether the dedicated GPU handles the dynamically generated executable during development (each time you save a change, an executable is dynamically generated for quick testing, so I can’t just change Windows settings for this specific executable to use the desired GPU), so I’m wondering if there’s a way to just force my dedicated (non CPU integrated) GPU to handle everything on my system. This isn’t really a software question, the context just seems relevant.

How can I force my dedicated GPU to handle all applications or disable my integrated GPU?

Someone told me that my query is good for learning basis, but not for real world applications. Plz guide me

My Code: Connectivity(php)

<?php  $  conn=mysqli_connect("localhost","root","","webchat_data"); //if($  conn) //{ //  echo "hi"; //} if(!$  conn){     die("CONNECTION FAILED" .mysqli_connect_error()); }    ?> 


<?php include 'connectivity.php'; $  uname=($  _POST['uname']); $  email=($  _POST['Email']); $  pass=($  _POST['Password']);   $  sql = "INSERT INTO `sign-up`(USERNAME,EMAIL_ID,PASSWORD) VALUES('$  uname','$  email','$  pass')"; //$  result=$  conn->query($  sql); $  result = mysqli_query($  conn, $  sql); //$  query=mysqli_query($  conn,$  sql);  header("Location:index.php");      ?> 

Plz make some recommendations to make this code more accruate and for real world scenarios.

Lisp Applications

Is there a version of Lisp that uses the applications normally used by Visual Basic, such that programs can be executed in a way that allows users to take advantage of the mouse and many of the utilities that they normally use in Windows?

Vectors and applications

Consider the two vectors $ \vec{A}$ and $ \vec{B}$ . The sum of their vectors ie: $ |\vec{A}+\vec{B}|$ , if $ |\vec{A}|>|\vec{B}|$

1) is equal to $ |\vec{A}|+|\vec{B}|$

2)must be less than $ |\vec{A}|+|\vec{B}|$

3)cannot be greater than $ |\vec{A}|+|\vec{B}|$

4)must be equal to $ |\vec{A}|-|\vec{B}|$

Ok so i initially got my answer as 3) as sum of vectors is less than or equal to $ |\vec{A}|+|\vec{B}|$ but the answer key shows that the answer is 2) and 3)

But I don’t understand why it must be less than $ |\vec{A}|+|\vec{B}|$

We have many examples where angle is $ 0°$ where adition of vectors is equal to $ |\vec{A}|+|\vec{B}|$ .

Please suggest your explanations .

Can’t open several applications using GUI on Lubuntu

I’m facing many problems with my computer since I upgraded my Lubuntu (with LXQT) to 18.10 and 19.04. I believe all this problems are, somehow, related since they happened immediately after the upgrade. This is why I’m listing all of them in the same topic.

  • The softwares center Discover show always : Failed to obtain authentication even if I run it from the terminal with sudo plasma-discover

In /var/log/auth.log I can see these lines :

May 13 22:33:51 zied-pc sudo:     zied : TTY=pts/0 ; PWD=/home/zied ; USER=root ; COMMAND=/usr/bin/plasma-discover May 13 22:33:51 zied-pc sudo: pam_unix(sudo:session): session opened for user root by (uid=0) May 13 22:34:03 zied-pc PackageKit: uid 0 is trying to obtain org.freedesktop.packagekit.system-sources-refresh auth (only_trusted:0) May 13 22:34:03 zied-pc PackageKit: uid 0 failed to obtain auth 
  • I can’t open Skype also using GUI, I can only open it using terminal as root. I found these lines inside /var/log/apport.log

    ERROR: apport (pid 16622) Mon May 13 22:24:11 2019: called for pid 16572, signal 6, core limit 0, dump mode 1 ERROR: apport (pid 16622) Mon May 13 22:24:11 2019: executable: /usr/share/skypeforlinux/skypeforlinux (command line "/usr/share/skypeforlinux/skypeforlinux\ --executed-from=/home/zied\ --pid=16567") ERROR: apport (pid 16622) Mon May 13 22:24:11 2019: is_closing_session(): no DBUS_SESSION_BUS_ADDRESS in environment ERROR: apport (pid 16622) Mon May 13 22:24:28 2019: wrote report /var/crash/_usr_share_skypeforlinux_skypeforlinux.1000.crash 
  • I can’t shutdown or reboot my computer using GUI. I need also to use terminal to do it !

  • Connecting USB or trying to open another partition with PCManFM show also this error :

Not authorized to perform operation

Any idea would be appreciated ! Thank you.