.NET Application Development

public class Startup
{
    public void ConfigureServices(IServiceCollection services)
    {
        services.AddControllers();
        services.AddRazorPages();
        services.AddServerSideBlazor();
        
        // Add mathematical optimization service
        services.AddSingleton<IAlgorithmService, 
            OptimizedProcessingService>();
    }
    
    public void Configure(IApplicationBuilder app)
    {
        app.UseHttpsRedirection();
        app.UseStaticFiles();
        app.UseRouting();
        app.UseAuthentication();
        app.UseAuthorization();
        
        app.UseEndpoints(endpoints =>
        {
            endpoints.MapControllers();
            endpoints.MapBlazorHub();
            endpoints.MapFallbackToPage("/_Host");
        });
    }
}

[ApiController]
[Route("api/[controller]")]
public class AnalyticsController : ControllerBase
{
    private readonly IDataProcessor _processor;
    
    public AnalyticsController(IDataProcessor processor)
    {
        _processor = processor;
    }
    
    [HttpPost("analyze")]
    public async Task<ActionResult<AnalysisResult>> 
        AnalyzeData(DataSet dataset)
    {
        // Apply mathematical models to dataset
        var result = await _processor
            .ApplyOptimizedAlgorithm(dataset);
            
        return Ok(new AnalysisResult 
        {
            Insights = result.Insights,
            Confidence = result.StatisticalConfidence,
            RecommendedActions = result.Actions
        });
    }
}

public class MainViewModel : INotifyPropertyChanged
{
    private readonly ISimulationEngine _engine;
    
    public MainViewModel(ISimulationEngine engine)
    {
        _engine = engine;
        RunSimulationCommand = new RelayCommand(
            ExecuteSimulation, 
            () => !IsRunning);
    }
    
    private bool _isRunning;
    public bool IsRunning 
    {
        get => _isRunning;
        set 
        {
            _isRunning = value;
            OnPropertyChanged();
            RunSimulationCommand.RaiseCanExecuteChanged();
        }
    }
    
    public ICommand RunSimulationCommand { get; }
    
    private async void ExecuteSimulation()
    {
        IsRunning = true;
        
        // Run complex mathematical simulation
        SimulationResult = await _engine
            .RunComplexSimulation(Parameters);
            
        IsRunning = false;
    }
    
    // INotifyPropertyChanged implementation...
}

public static class DataProcessingFunction
{
    [FunctionName("ProcessDataStream")]
    public static async Task RunAsync(
        [EventHubTrigger("data-stream")] EventData[] events,
        [CosmosDB("analytics", "results")] 
            IAsyncCollector<ProcessedResult> resultsOutput,
        ILogger log)
    {
        var processor = new ParallelDataProcessor();
        
        foreach (var eventData in events)
        {
            // Deserialize event data
            var data = JsonSerializer
                .Deserialize<SensorData>(eventData.Body.ToArray());
                
            // Apply advanced mathematical models
            var result = processor.ApplyOptimizationAlgorithm(
                data, new OptimizationParameters());
                
            // Store results
            await resultsOutput.AddAsync(new ProcessedResult 
            {
                Id = Guid.NewGuid().ToString(),
                Timestamp = DateTime.UtcNow,
                OriginalData = data,
                OptimizedOutput = result
            });
        }
    }
}