Talk with ghosts: Ada Lovelace

In the evenings, I like to sit on the veranda, filling up my diary with new and new research in the field of mathematics. But one day, I noticed my neighbor - Mr. Sanders constantly goes to the neighboring garden in the evenings. It became interesting to me. After waiting for midnight, when the white mist, illuminated by moonlight, envelops the garden, I decided to learn his secret. Having circled the fountain from all sides in a barely visible moonlight, I noticed a strange pattern on the bottom of the fountain. It contained four separately placed inscriptions: "1010", "1100", "10010", "1111". Probably, these are the digits in the decimal system. I wonder if my assumptions are correct, what numbers were coded there? What secret was Mr. Sanders hiding? Do you have any suggestions? Enter the answer holistically below. " Or for example: “In the morning, after breakfast, I really like to stay in my father’s study and read my father’s research. Once again, reading his diary, I discovered the shabby entries of some mathematical calculation. In this mathematical calculation, there was a number that was incremented (+) or decremented (-) by a specific other number. This calculation was completed only when the sum reached a certain value, which we asked ourselves. I decided to call this repetition "The Cycle". For practical confirmation of the correctness of the definition of my term, I decided to carry out a simple mathematical calculation. After how many actions the cycle will stop, provided that: the starting number is 5, the increment value is 3, the threshold number for terminating the cycle is 35.

public async System.Threading.Tasks.Task MessageRecieveAsync(IDialogContext context, IAwaitable<IActivity> result) { IActivity message = await result; string reply = ""; if (tasks.Unreaded) { reply = "           "; await context.PostAsync(reply); reply = tasks.Tasks[tasks.Number].Condition; await context.PostAsync(reply); tasks.Unreaded = false; context.Wait(MessageRecieveAsync); } else if (Helpers.NumParser(message.AsMessageActivity().Text) == tasks.Tasks[tasks.Number].Answer) { reply = "  !"; await context.PostAsync(reply); tasks.Tasking = false; context.Done(this); return; } else { reply = ".    . \n\n\u200C" + tasks.Tasks[tasks.Number].Explanation + "\n\n\u200C    "; await context.PostAsync(reply); context.Done(this); return; } } 

 if (activity.Attachments?.Any() == true) 

 private async System.Threading.Tasks.Task StartRecognize(MemoryStream photo) { try { \_analysisResult = await \_visionServiceClient.DescribeAsync(photo); \_isVision = true; } catch { } } public async Task<string> MakeSomeSummary(MemoryStream photo) { string result = "nothing"; await StartRecognize(photo); if (\_isVision) { if (\_analysisResult.Description.Captions.Length > 0) { result = \_analysisResult.Description.Captions[0].Text; } } return await Helpers.TranslateText(result, "ru", await Helpers.GetAuthenticationToken("SubKey")); } 

 public static async Task<string> TranslateText(string inputText, string language, string accessToken) { string result = ""; string url = " [http://api.microsofttranslator.com/v2/Http.svc/Translate](http://api.microsofttranslator.com/v2/Http.svc/Translate)"; string query = $"?text={System.Net.WebUtility.UrlEncode(inputText)}&to={language}&contentType=text/plain"; using (var client = new HttpClient()) { client.DefaultRequestHeaders.Authorization = new AuthenticationHeaderValue("Bearer", accessToken); var response = await client.GetAsync(url + query); result = await response.Content.ReadAsStringAsync(); if (!response.IsSuccessStatusCode) return "Hata: " + result; var translatedText = XElement.Parse(result).Value; return translatedText; } return result; } public static async Task<string> GetAuthenticationToken(string key) { string endpoint = " [https://api.cognitive.microsoft.com/sts/v1.0/issueToken](https://api.cognitive.microsoft.com/sts/v1.0/issueToken)"; using (var client = new HttpClient()) { client.DefaultRequestHeaders.Add("Ocp-Apim-Subscription-Key", key); var response = await client.PostAsync(endpoint, null); var token = await response.Content.ReadAsStringAsync(); return token; } } 

 public async Task<string> MakeAboveEmotion(MemoryStream photo) { string result = "nothing"; await StartRecognize(photo); if (\_isEmotion) { double[] aboveEmo = new double[8]; Emotions.ToList().ForEach(x => { aboveEmo[0] += x.Scores.Anger; }); Emotions.ToList().ForEach(x => { aboveEmo[1] += x.Scores.Contempt; }); Emotions.ToList().ForEach(x => { aboveEmo[2] += x.Scores.Disgust; }); Emotions.ToList().ForEach(x => { aboveEmo[3] += x.Scores.Fear; }); Emotions.ToList().ForEach(x => { aboveEmo[4] += x.Scores.Happiness; }); Emotions.ToList().ForEach(x => { aboveEmo[5] += x.Scores.Neutral; }); Emotions.ToList().ForEach(x => { aboveEmo[6] += x.Scores.Sadness; }); Emotions.ToList().ForEach(x => { aboveEmo[7] += x.Scores.Surprise; }); int mx = aboveEmo.ToList().IndexOf(aboveEmo.ToList().Max()); switch (mx) { case 0: result = "anger emotions"; break; case 1: result = "contempt emotions"; break; case 2: result = "disgust emotions"; break; case 3: result = "fear emotions"; break; case 4: result = "happiness emotions"; break; case 5: result = "neutral emotions"; break; case 6: result = "sadness emotions";; break; case 7: result = "surprise emotions"; break; default: result = "nothing"; break; } } return await Helpers.TranslateText(result, "ru", await Helpers.GetAuthenticationToken("SubKey")); } 

For those who consider mathematical science not only a huge set of abstract and immutable truths, its inner beauty, symmetry and logical completeness, considered in their connection with each other and as a whole, meet the interests of deep logical minds, but mathematics conceals an even deeper of interest to humanity, if we recall that this science is a language through which we can single-handedly adequately express the great facts of the natural world and these incessant changes in interconnections that are clearly or not Discriminately, consciously or unconsciously occur around us, in our immediate physical perception: those who meditate in this way think of mathematical truth as a tool through which the weak mind of a person can most effectively read the works of his Creator will be treated with a particular interest to everything which can facilitate the understanding of the principles of nature, bringing them into obvious practical forms.