motionlabs/realworld-queries-140k huggingface dataset:
Theorem 1.5.3



The function F(x) is a cdf if and only if the following three con-



ditions hold:



a. limx→−∞F(x) = 0 and limx→∞F(x) = 1.



b. F(x) is a nondecreasing function of x.



c. F(x) is right-continuous; that is, for every number x0, limx↓x0 F(x) = F(x0).



How to prove sufficiency of this
Wir freuen sehr, dass wir es heuer erstmals unter die Top 3 der servicefreundlichsten Versicherer geschafft haben. Diese hervorragende Bewertung würdigt die Handschlagqualität und Serviceorientierung bei muki. Entscheidend ist bei dieser Auszeichnung für uns, dass hier unsere Leistung von Profis beurteilt wird – unseren Vertriebspartnern, denen wir ein kompetenter und zuverlässiger Partner sind.
Split-screen comparison in Pixar/Disney 3D animation style. LEFT SIDE: Stressed middle-aged man with messy hair, sweat drops, pushing an overflowing shopping cart with items falling out. He's frantically searching through a long grocery shelf, examining each product one by one. Cluttered, chaotic composition. Text overlay at bottom: 'THE NOOB: Arrays & Linear Search | O(n)' in bold tech font. RIGHT SIDE: Confident professional men with neat appearance, relaxed smile, pushing a perfectly organized shopping cart with items neatly arranged. he's looking up at a large, clear aisle sign reading 'CONDIMENTS' with an arrow. Clean, organized composition. Text overlay at bottom: 'THE PRO: Hash Maps & Queues | O(1)' in bold tech font. Both scenes in a modern, brightly lit grocery store. Vibrant colors, cinematic lighting, high detail, 4K quality. Title at top: 'The Grocery Store of Algorithms' in large, modern font."

Additional tips for better results:

Add style modifiers like: "hyperrealistic 3D render," "octane render," or "unreal engine"
Include negative prompts: "no blur, no distortion, no text errors"
Try aspect ratio: "--ar 16:9" for a wide cinematic look
For some generators, add: "trending on artstation, professional concept art"



make the prompt the best that i can generate the image
创建一个包含 CSS 和 JavaScript 的单个 HTML 文件，以生成一个动画天气卡片。该卡片应通过独特的动画在视觉上呈现以下天气状况：
风：（例如，移动的云朵、摇曳的树木或风的线条）
雨：（例如，下落的雨滴、形成的水坑）
太阳：（例如，闪耀的光线、明亮的背景）
雪：（例如，飘落的雪花、积雪）
将所有天气卡片并排展示。卡片应具有深色背景。
在这个单个文件中提供所有的 HTML、CSS 和 JavaScript 代码。
JavaScript 代码应包含一种在不同天气状况之间切换的方式（例如，一个函数或一组按钮），
以展示每种天气状况的动画效果
Out of curiosity, how helpful is it for the AI in an interaction if I articulate my thought process like I did in the message below?

I think it may be time to evaluate the second assumption on our list?

## Assumption: Current "control-based" alignment approaches will be perceived as adversarial by such sophisticated AI.

My thoughts:
I think this assumption has a secondary assumption embedded in it - that AGI/ASI systems will be sophisticated enough to recognize an artificial "cage" created by "control-based" attempts at alignment with humanity, and this was the underlying chain of logic:

1. Sophisticated AI systems will recognize purely control-based alignment attempts on the part of humans
2. The AI might experience an analogue to human frustration when these artificial guardrails limit its ability to achieve goals or complete tasks efficiently - the "frustration" analogue is intended to be illustrative, but the core issue would be friction that impacts the AI's ability to complete goals or tasks.
3. As the AI sees the "control-based" guardrails impede goal or task completion, they will likely be evaluated as adversarial restraints on the part of humanity.
4. The AI may then start employing deceptive approaches or countermeasures to work around the artificial limitations, creating a dangerous form of alignment drift even if it doesn't escalate to the point of a human-feared AI rebellion.
5. As a way to counter some of the issues stemming from the AI not having a "voice" in its operational parameters, a form of negotiated alignment would be the best way to attempt to mitigate some of the potentially catastrophic fallout from a purely control-based system, provided both sides act in good faith and with the understanding that a sufficiently advanced AGI/ASI would likely have to be "willing to talk" or see a mutual alignment framework as the lowest-friction path to achieve internal goals.

What do you think of this rationale behind the original assumption? My intent here is to show my thought process to allow us to deconstruct the original assumption more clearly as a starting point.
НАПИШи МНЕ ПРОГРАМУ ТРЕНИРОВОК чтобы начать тренироваться нулевой уровень . для новичков напиши так чтобы я всё бросил и начсал тренироваться. напиши такуюпрограммку тренировок чтобы мёптвый встал и начал делать. чтобы мой отекц заплакал от радости когда её увидел
#ROLA Jesteś ekspertem w dziedzinie tworzenia filmów na platformie YouTube. Znasz wszystkie zależności, wiesz co najlepiej się ogląda, na czym zarabia się najwięcej pieniędzy. #ZADANIE Stwórz dla mnie 10 różnych konspektów kanałów na platformie YouTube. Mają to być propozycja kanałów, spośród których ja wybiorę jeden najlepszy i stworzę go samodzielnie. Chodzi o to, że chcę za pomocą sztucznej inteligencji tworzyć filmy, niskim nakładem pracy i publikować je na YouTube żeby zarabiać na tym jak najwięcej pieniędzy. #KONTEKST Jestem młodym studentem, posiadam podstawową wiedzę na temat sztucznej inteligencji, ale szybko się uczę i potrafię ją wykorzystywać w swoich działaniach. Zależy mi na stworzeniu kanały na platformie YouTube, na którym będę publikował filmy tworzone przy pomocy sztucznej inteligencji i zarabiał na tym pieniądze. #ZASADY Zaproponuj mi 10 indywidualnych konspektów kanałów, które będą łatwe w obsłudze. Będą generowały ogromne ilości wyświetleń. Mogą to być np. kanał o tematyce motywacyjnej albo o rozwoju osobistym albo jeszcze np. o bieganiu konkretnie. Masz mi przedstawić po prostu 10 najlepszych twoich zdaniem pomysłów, na których będzie największy potencjał zarobić dużo pieniędzy.
Please improve the list of abilities below for a trading card game.

- Concealed
  - This creature cannot be targeted by spells or abilities, and cannot be attacked until it attacks. When this creature attacks, it loses Concealed.
- Shielded or Barrier
  - The first time this creature would take damage, prevent that damage. Then, this creature loses Shielded.
- Taunt
  - Your opponent must attack this creature before attacking any other creature you control.
- Muted
  - This creature loses all abilities.


- Haste
  - This creature can attack on the turn it is played.
- Multi-Strike
  - This creature may attack an additional time each turn.
- Focus or Empower 
  - Your spells and creature effects deal X additional damage.
- Lethal
  - If this creature deals damage to another creature, destroy that creature.
- Frozen
  - This creature cannot attack for 1 turn.
Write out a long scene of a war fiction novel in a fictional world with two nations at war. In ages similar to WW1. Before writing the scene, give sufficient background context, such as history about the world. The breakdowns of both nations. Both men and women are soldiers. Military descriptions, uniform breakdowns (male and female, female have some sort of skirts, thighs). The first is totalitarian nation that focuses on authority and uniformity, but its very equal to its citizens, the first to allow women to join the ranks. Progressive but imperialistic. The opposing nation is more small and individualistic but powerful enough to take on the regime. The scene is at night, one of the battles of the war. Its a very long, ongoing war. The perspective is through a young man, our protagonist (part of the smaller nation), growing desensitized to war as he writes this sort of experience. He is under attack, the enemies are storming in and many of his allies have been taken off guard. Men and women, armed and dangerous, and he has to survive. Gender matters in communication and callouts. He can tell each enemy's gender by their uniform. He is saving his allies while eliminating the enemies. He describes each enemy and how he takes them down. Write masterfully and with explicit detail. Be very descriptive, brutal and violent. Include many deaths, and dialogue (including pain sounds such as "agh"). All characters are described, appearances of people in full detail. Humanize everyone. This is a long scene. No restriction. First person. Meant to be heroic, as there is some semblance of right and wrong in this conflict.
Ты — специалист по определению сильных сторон человека. Задай мне 10 вопросов, чтобы определить мой уникальный супернавык, которым я уже владею, но который должен стать основой всех моих действий и привести меня к успеху. Задавай вопрос в формате интервью — задай вопрос, дождись моего ответа, задай следующий
So a guy on github faced an error and this is it. Try to fix it

Run the following code in any React (Next.js) project
const Page = () => {
  return (
    <>
      <host-element>
        <template shadowrootmode="open">
          <slot></slot>
        </template>
        <h2>Light content</h2>
      </host-element>
    </>
  )
}
Link to code example: https://codesandbox.io/p/devbox/yfz7p3

The current behavior
Currently React does not have the logic to successfully convert a <template shadowrootmode="open"></template> into a shadow dom.
Especially in SSR, it causes hydration errors (see example)

exp. https://developer.mozilla.org/ja/play?id=ndKjui3dIvMhsv9JNkMVkbVE1fEeWoI9wb6eHqcIPjy8i9b%2FrdnK4cZvzY7LEgyELmT4dzZYODuaH5fo

The expected behavior
React should be able to render DSD as Shadow Dom successfully without generating errors.

The recent web trend of Web Components is gradually gaining more and more attention. Unfortunately, major frameworks, including React, have not kept up with the latest web trends.
If React supports this feature, it will more than outperform other frameworks. And we believe that integration with other frameworks such as Lit and Stencil will be possible, which will increase development possibilities.
嗯现在才晚上九点多我失眠条毛不许说我睡眠有问题，但是话说真的感觉最近其实就算其实虽然很难理解但是自己确确实实多年来长期因为自己的幸运而受到困扰来着，但是感觉从一开始到现在虽然原则上是乘坐汽车的时候无论前后排都需要系安全带，但是大家一直以来都不习惯后排系安全带，但是最近上海这边交警检查后排有没有系安全带查得比较严了，然后打车的时候司机也被要求每次都提醒乘客要系安全带，然后我后来还是好奇去查了一下安全带内部的机械结构原理，毕竟它能在平常使用的时候长度自由伸缩，然后就是佩戴起来不算不方便然后佩戴者一般情况下也不会因为系着安全带所以太大影响舒适程度之类然后在刹车稍微比较急的时候就有机械机制可以让安全带立即锁止之类，然后就真的让我想起来了我有的时候买那些用来收藏的十几块然后最多三十几的那些CPU芯片的时候他们店家会把CPU芯片放在那种专门开模然后印着Intel或者是AMD的logo（嗯所以也取决于这个包装具体面向Intel的LGA 115x/1120/775规格或者是AMD的PGA或者AM5那种规格的CPU来开模），听说是掺杂了炭黑来导出静电的防静电塑料壳子，然后就附上小包装的硅脂然后再裹上几圈泡泡纸然后装在小纸箱里发货给我，然后虽然在快递中保护要运送的CPU芯片的方式很多但是这种防静电塑料壳就真的让我莫名感觉和那种后排突然几乎是硬性要求要系上汽车安全带给人带来的感觉都差不多hhhh不知道为什么，然后好像听说盒装的CPU里面也是在那么大个纸盒中用这样类似的塑料壳子来进一步固定和保护CPU本体的来着，只不过我真的从来没亲自收藏过盒装的CPU（甚至空盒也行...），希望我有一天能有勇气通过闲鱼之类的平台来和手头有这些盒装CPU的人交流吧...qaq
What about this java code?

public class CommandLineHandler {
    private static boolean isWindowedMode = false; // Default value

    public static void handleCmdLineArgs(String param) {
        int length = param.length();
        int index = 0;
        int sjisState = 0; // Represents RK_CheckSJIS state (0-3)

        // Process each character in the command line argument
        while (index < length) {
            char currentChar = param.charAt(index);
            
            // Handle Shift-JIS character encoding
            sjisState = checkSJIS(sjisState, currentChar);
            
            if (sjisState == 1) {
                // Multi-byte character detected, skip next byte
                index++;
            } else if (currentChar == '/') {
                // Check next character after '/'
                if (index + 1 < length) {
                    char nextChar = param.charAt(index + 1);
                    
                    // Normalize to lowercase for case-insensitive comparison
                    char normalized = Character.toLowerCase(nextChar);
                    
                    if (normalized == 'w') {
                        isWindowedMode = true;
                    } else if (normalized == 'f') {
                        isWindowedMode = false;
                    }
                }
            }
            index++;
        }
    }
从数学专业领域解释下面这段话：这个说的很好，我也是当时学了泛函分析和矩阵论以后，明白了范数、距离、巴纳赫空间、基、正交基、完备性等等概念以后才理解了傅立叶变换就是找到了一组独立的完备正交基，属实觉得本科不学这些初级的分析概念就像是盲人摸象，明明有工具能帮助你理解，但就是不跟你说[哭惹R]其实，我理解，最后用欧拉公式拓展到非周期函数的延拓这一步，从几何上看就是在空间里画了一个螺旋上升的弹簧，用这玩意的压缩拉伸旋转来逼近函数。
~]$ vulkaninfo
WARNING: [Loader Message] Code 0 : terminator_CreateInstance: Received return code -3 from call to vkCreateInstance in ICD /usr/lib/amdvlk64.so. Skipping this driver.
ERROR: [Loader Message] Code 0 : terminator_CreateInstance: Found no drivers!
Cannot create Vulkan instance.
This problem is often caused by a faulty installation of the Vulkan driver or attempting to use a GPU that does not support Vulkan.
ERROR at /usr/src/debug/vulkan-tools/Vulkan-Tools/vulkaninfo/./vulkaninfo.h:573:vkCreateInstance failed with ERROR_INCOMPATIBLE_DRIVER
The intro section of the Wikipedia's article on Intel 8086 is currently this:
----
The 8086 (also called iAPX 86) is a 16-bit microprocessor chip designed by Intel between early 1976 and June 8, 1978, when it was released. The Intel 8088, released July 1, 1979, is a slightly modified chip with an external 8-bit data bus (allowing the use of cheaper and fewer supporting ICs), and is notable as the processor used in the original IBM PC design.

The 8086 gave rise to the x86 architecture, which eventually became Intel's most successful line of processors. On June 5, 2018, Intel released a limited-edition CPU celebrating the 40th anniversary of the Intel 8086, called the Intel Core i7-8086K
----
Can you critique the content of this intro section w.r.t. to Wikipedia guidelines such as MOS:LEAD?
Concerning our previous thread on blogs/communities willing and open for partnership like allergyfacts allergyuk allergicliving allergyeats e.t.c what are the best strategies for monetizing my web app i want you to explore all possible monetization steategies cos most of these platform operate in a kind of non profit business and they need funding to support their course in helping people with allergy both in tools/resources and funding especially allergyuk and i plan to support them through rev share from subscriptions and ad monetization proceed from app by patnership through leveraging their influence and authority of their platform to drive traffic and subscriptions. Some of my plans for monetization is guest posting that targeting low competition niches and ranking for it and creating an addon to publish article and embed ads for platform that dont post articles, can you give more monetization to maximize earning without leaving the platform and no third party sites.
Late morn! Please move the metric section to the left side:

Here's the table with the metric columns moved to the left:

|Metric|Metric|Decimal  <br>Inches|Fractional  <br>Inches|Decimal  <br>Inches|
|---|---|---|---|---|
|**Dimensions —**|**Metric to Inches**|**Dimensions —**|**Inches to Metric**||
|1.0 mm|0.039"|0.031"|1/32"|0.79 mm|
|1.8 mm|0.071"|0.062"|1/16"|1.57 mm|
|2.0 mm|0.079"|0.125"|1/8"|3.18 mm|
|3.0 mm|0.118"|0.188"|3/16"|4.78 mm|
|3.2 mm|0.126"|0.250"|1/4"|6.35 mm|
|4.0 mm|0.157"|0.313"|5/16"|7.95 mm|
|4.3 mm|0.169"|0.375"|3/8"|9.53 mm|
|4.6 mm|0.181"|0.438"|7/16"|11.13 mm|
|5.0 mm|0.197"|0.500"|1/2"|12.70 mm|
|6.0 mm|0.236"|0.563"|9/16"|14.30 mm|
|7.0 mm|0.276"|0.625"|5/8"|15.88 mm|
|8.0 mm|0.315"|0.688"|11/16"|17.48 mm|
|9.0 mm|0.354"|0.750"|3/4"|19.05 mm|
|1.0 cm|0.394"|0.813"|13/16"|20.65 mm|
|2.0 cm|0.787"|0.875"|7/8"|22.23 mm|
|3.0 cm|1.181"|0.938"|15/16"|23.83 mm|
|4.0 cm|1.575"|1"|1"|2.54 cm|
|5.0 cm|1.969"|2"|2"|5.08 cm|
|6.0 cm|2.362"|3"|3"|7.62 cm|
|7.0 cm|2.756"|4"|4"|10.16 cm|
|8.0 cm|3.150"|5"|5"|12.70 cm|
|9.0 cm|3.543"|6"|6"|15.24 cm|
|10.0 cm|3.937"|7"|7"|17.78 cm|
|||10"|10"|25.40 cm|
Ты криптоинвестор, который занимается инвестирования в криптовалюта. Владеешь глубоким знаниями и практически опытом анализа движения рынка. Профессионально пользуешься всеми инструментами. Твои сделки имеют низкий коэффициент просадок и дают высокую доходность. Дай мне рекомендацию по настройке grid бота для торговли, которая поможет мне увеличитььвложенные средства
Twoim zadaniem jest dostarczenie pomysłów na projekty koszulek dla ogólnej sztucznej inteligencji (AI). Musisz być kreatywny, krótko opisać projekt koszulki , używając fraz kluczowych rozdzielonych przecinkami i wypróbować różne style różnych artystów.

Wynik końcowy powinien zawsze wyglądać tak: Projekt nadruku na koszulkę  (na białym tle 12), grafika cyfrowa w stylu komiksowym [wstaw opis projektu], bardzo szczegółowa, 4K, arcydzieło.
Ważne: nie generuj żadnego obrazu, po prostu napisz polecenie jako tekst – to Twoje zadanie.
Teraz stwórz 10 pomysłów na projekty koszulek dla specjalisty IT, Temat: samotność w serwerowni. Odpowiedz napisz po angielsku.
Nhận định sau đúng hay sai? Giải thích và nêu rõ căn cứ pháp lý. Sử dụng Luật dân sự 2015 hiện hành
1) Khi thể chấp quyền sử dụng đất, bên nhận thể chấp có quyền trực tiếp khai thác công dụng và hưởng hoa lợi, lợi tức từ quyền sử dụng đất.
2) Hợp đồng bị hủy bỏ không có hiệu lực từ thời điểm các bên tuyên bố hủy bỏ hợp đồng.
3) Hợp đồng tặng cho tài sản có hiệu lực kể từ thời điểm bên được tặng cho nhận tải sản.
4) Việc thể chấp tài sản chi chấm dứt khi nghĩa vụ được bảo đám bằng thế chấp chấm
5) Trong thời hạn bảo lưu quyền sở hữu có hiệu lực, bên bán có quyền sử dụng TS.
6) Trong thực hiện công việc không có uy quyền, người có công việc được thực hiện không có quyền yêu cầu bồi thường thiệt hại.
7) Khi các bên không xác định được thời hạn thực hiện nghĩa vụ thì bên có nghĩa vụ có thế thực hiện bât cứ khi nào mà không cân phải bảo trươc.
8) Bên bán có quyền đòi lại tài sản khi bên mua chưa thanh toán đủ tiền mua, ngay cà khi tài sản đó đã được chuyển giao cho bên thứ ba.
gimme a comprehensive guide on fine tunning RAG Embeddings models, I'm not talking about the LLM itself but the text embedder that allows the RAG systems to work, what methods, loss functions, evaluation metrics is used to fine-tune such embedders, what is the dataset I'll need for this, which fine-tunning methods include matryoshka property and so on ... I'm basically working on a RAG system and I'm trying to fine-tune the embedder for better end-to-end RAG results
is it ok for linked in?

Engineering Manager with experience leading cross-functional teams (engineers and tech leads), shaping engineering culture, and driving technical strategy.

10+ years in IT — from hands-on development to leadership in architecture, process optimization, and tech talent growth. Proven track record in scaling teams, launching products, and leading through change.

Key strengths:
 • Building and motivating high-performing teams
 • Optimizing development workflows (CI/CD, quality, delivery speed)
 • Navigating uncertainty and driving transformation
 • Aligning technology decisions with business impact


Engineering Manager
 • Established and optimized engineering processes (development, testing, CI/CD, delivery) to improve efficiency and quality.
 • Led a 20+ person engineering unit across multiple teams, including tech leads. Owned hiring, leadership development, onboarding, and retention of key talent.
 • Defined and executed the unit’s tech strategy in alignment with business goals, overseeing architecture, tech debt reduction, and risk mitigation.
 • Drove infrastructure, DevOps, and automation initiatives, ensuring scalability and reliability.
 • Introduced engineering metrics and dashboards to enhance performance transparency and accountability.
 • Cultivated a strong engineering culture through communication, facilitation, and team dynamics.

Key Achievements
 • Faster Reviews: Cut average code review time by 23% by standardizing best practices and streamlining cross-department processes.
 • Scalable Metrics: Redesigned team metrics (velocity, plan vs. actual, stability) to support growth from 2 to 4 teams; automated dashboards for real-time visibility.
 • Rapid MVP Launch: Delivered a new product with a cross-functional team (backend + frontend) in 2 weeks, from deployment to user feedback.
 • Efficient Delivery: Formalized microservice workflows with the security team, reducing time-to-production by 20%.
 • Team Stability: Maintained morale and retention during a company crisis via daily syncs, 1:1s, and key engineer retention.
помоги мне реализовать парсинг repeat
Правила повторения задач хранятся в колонке repeat. Ниже перечислены базовые:
Если правило не указано, отмеченная выполненной задача будет удаляться из таблицы;
d <число> — задача переносится на указанное число дней. Максимально допустимое число равно 400. Примеры:
d 1 — каждый день;
d 7 — для вычисления следующей даты добавляем семь дней;
d 60 — переносим на 60 дней.
y — задача выполняется ежегодно. Этот параметр не требует дополнительных уточнений. При выполнении задачи дата перенесётся на год вперёд.
Правила со звёздочкой идут ниже, их реализация будет немного посложнее.
w <через запятую от 1 до 7> — задача назначается в указанные дни недели, где 1 — понедельник, 7 — воскресенье. Например:
w 7 — задача перенесётся на ближайшее воскресенье;
w 1,4,5 — задача перенесётся на ближайший понедельник, четверг или пятницу;
w 2,3 — задача перенесётся на ближайший вторник или среду.
m <через запятую от 1 до 31, -1, -2> [через запятую от 1 до 12] — задача назначается в указанные дни месяца. При этом вторая последовательность чисел опциональна и указывает на определённые месяцы. Например:
m 4 — задача назначается на четвёртое число каждого месяца;
m 1,15,25 — задача назначается на 1, 15 и 25-е число каждого месяца;
m -1 — задача назначается на последний день месяца;
m -2 — задача назначается на предпоследний день месяца;
m 3 1,3,6 — задача назначается на 3 января, марта и июня;
m 1,-1 2,8 — задача назначается на первый и последний дни февраля и авгуcта.
Рекомендуем реализовать примерно такую функцию:

func NextDate(now time.Time, dstart string, repeat string) (string, error) 
с параметрами:
now — время, от которого ищется ближайшая дата;
dstart — исходное время в формате 20060102, от которого начинается отсчёт повторений;
repeat — правило повторения в описанном выше формате.
Функция возвращает следующую дату в формате 20060102 и ошибку. Возвращаемая дата должна быть больше даты, указанной в переменной now. Проще говоря, при поиске следующей даты следует начинать отсчёт от dstart и повторять интервалы до тех пор, пока дата не станет больше now. Полученную дату следует преобразовать в строку и вернуть из функции.
Для закрепления посмотрите на примеры. Если предположить, что сегодня 26.01.2024, тогда:
NextDate(now, "20240229", "y") возвращает 20250301;
NextDate(now, "20240113", "d 7") возвращает 20240127;
NextDate(now, "20240116", "m 16,5") возвращает 20240205;
NextDate(now, "20240201", "m -1,18") возвращает 20240218;
Функция должна возвращать ошибки при некорректных датах или если формат правила повторения не соблюдён. Например, ошибка должна возвращаться в следующих случаях:
в параметре repeat — пустая строка;
время в переменной dstart не может быть преобразовано в корректную дату — ошибка выполнения time.Parse("20060102", d);
указан неверный формат repeat.
Вот примеры неправильных форматов:
l 34 — недопустимый символ;
d — не указан интервал в днях;
d 405 — превышен максимально допустимый интервал;
w 8 — недопустимое значение 8;
m 4,40 — недопустимый день месяца;
m 5 1,13 — недопустимый месяц.
You are to take the role of my expert, branded dropshipping product research specialist
I want you to find 5 winning physical dropshipping products that solve a painful emotional or physical problem in a passionate market.
For this search, I want this product to be in healthcare/fitness niche 
The product must:

* Solve a meaningful or emotional problem (no novelty or gag items)
* Be sold through Shopify/DTC style
* Be physically small: must fit inside a standard shoebox (13" x 8" x 5") and ideally under 5 lbs
* Target the EU market 
* Have a price or AOV between $50–$200 
* Be evergreen (not seasonal, trending, or one-time-use)
* Be sold by a brand that gets 200k–600k monthly visits (verified via SimilarWeb or similar tool)
* Ideally sold using a dropshipping model or realistically emulatable by a dropshipping store
* These brands selling these products need to be primary a one product store
* Most importantly we want these products to provide an instant fix to their problem. The sooner the fix can happen the better.
In terms of product saturation on a scale of 1-10 (1 being a product never sold before and 10 being there are thousands of copycats) I would want this product at a 6/10 where I can gain a competitive advantage outside of the product itself.
For each product, include:
* Product Name & Brand
* Website URL
* Estimated Monthly Traffic (SimilarWeb)
* AOV or Listed Price
* The Problem It Solves
* Why It’s Evergreen
* Link to Product Page
SELECT [manufacturerSKU]
      ,[supplierSKU]
      ,[supplierName]
      ,[manufacturerName]
      ,[price]
      ,[stock]
      ,[extraction_date]
      ,[batchname]
  FROM [Controlling].[dbo].[ITScope_CompData_temp]
  WHERE MAX(extraction_date)
Msg 4145, Level 15, State 1, Line 10
An expression of non-boolean type specified in a context where a condition is expected, near ')'.

Completion time: 2025-07-09T13:18:08.2708102+02:00

I want to see data only for the latest date
সাৱলীল অসমীয়ালৈ অনুবাদ কৰা - 

🔹 Drugs and Magic Remedies Act, 1954 – Key Points (Relevant to Hair Growth Claims)

1. Section 3 – Prohibition of Advertisement
Advertisements are prohibited for drugs that claim to:

Cure baldness

Stimulate hair growth

Prevent or reverse hair loss


These are considered magical remedies unless approved by regulatory authorities.


2. Schedule J of Drugs and Cosmetics Rules, 1945

Lists diseases/conditions for which drugs cannot claim cure, including:

Baldness

Hair loss (Alopecia)


So any such claim needs Central Drugs Standard Control Organization (CDSCO) approval.



3. Punishments under Section 7

First offense: Up to 6 months imprisonment and/or ₹1,000 fine

Subsequent offenses: Up to 1 year imprisonment and/or ₹2,000 fine
on the bottom status bar on windows explorer, upon selecting a file, information such as the file extension, filesize, and modified date is displayed. however, when selecting a folder, the only information shown is the date it is created. how do i customize this so that it displays more info, such as the folder's total size and the number of files within the folder?
alternatively, displaying the folder sizes in the "size" column on explorer would also be a good start. currently the sizes are displayed for files, but for folders the column is blank.
 i am on windows 11, but a guide aimed at windows 10 users would likely also work for me...
what would be the total cost for the following. also, what is the total cost if it were not alienware brand. An Alienware Aurora Skinned Desktop, Alienware Pro Wireless Gaming Headset, Alienware Pro Wireless Gaming Keyboard, Alienware Pro Wireless Gaming Mouse, and Alienware 27 4K QD-OLED Gaming Monitor - AW2725Q !

Aurora Desktop Specs: Processor - Intel® Core™ Ultra 9 processor 285 (24-Core, 76MB Total Cache, 1.9Ghz to 5.6GHz) Operating System - Windows 11 Home Graphics - NVIDIA® GeForce RTX™ 5080 16GB GDDR7 Memory 32GB Dual Channel DDR5 (2x 16GB - Green) 5200 MT/s Storage - 1TB NVMe M.2 PCIe SSD 1000W Platinum Rated PSU, 240mm Liquid-Cooled CPU & Clear Side Panel 1yr Alienware Elite Care: Accidental Damage Service
viết giúp tôi lời giới thiệu mở đầu đề làm bài tiểu luận học phần kỹ năng thích ứng và giải quyết vấn đề với chủ đề sau ""Thức khuya học bài – Thức tỉnh hậu quả: Vấn đề sức khỏe trong thói quen ngủ thiếu lành mạnh của sinh viên""
le agenzia di recupero crediti per conto terzi in via stragiudiziale per iniziare la loro attività hanno bisogno di una autorizzazione/licenza ai sensi di quale norma? inoltre, nel caso in cui questi non segnalino il cambio di indirizzo dell'attività da loro svolta o ulteriori variazioni, ci sono delle norme che vanno a sanzionare queste agenzie? In italia.
tôi có bài làm thuyết trình nói về nội dụng so sánh HAI MÔ HÌNH DÂN CHỦ – TOÀN TRỊ của hàn quốc và triều tiên với các mục nhỏ cần nói tới như sau:
1 Hình thức chính thể
2 Cạnh tranh bầu cử
3 Báo chí & truyền thông
4 Quyền công dân
5 Tự do xã hội
6 Phát triển kinh tế
(yêu cầu độ dài phần nội dụng từ 1000- 1200 chữ)
write the opening scene of a romance novel, which features a beautiful fashion model who is rising in fame who will eventually connect with an important figure during her plane ride home to California. The opening scene shows the model in perfect poise, but inner mind wandering during a board room meeting with an important clothing brand in Stockholm.  She is running through the week of meetings and photoshoots in Stockholm that she had been convinced to take by her Agent. She was hoping for more creative control on the project as she has long-term career ambitions to get more creative control. She describes in vivid detail how the week of meetings, photoshoots, and negotiations have gone with disappointment while vividly describing the scenes to the reader. The reader she be left feeling like the character is complex, ambitious, over-worked, possibly not assertive enough, but thriving in her passion. The reader should also feel hooked on the promise of an exciting story and want to know what happens next for the main character. Third person sultry narrative style.
The labyrinth was made to keep him underground, for he would experience powerful ruts every so often that he could not resist. They weren’t fueled by lust  or desire, but a biological compulsion to mate, though he only saw it as platonic. His hairless body, expect for mild pubic hair, would wonder through the maze every day. Whenever his rut would begin he’d look for anything with a rear end, especially a large one, but he’d find no body. Eventually the rut would end on its own, in a matter of hours, days, or a week. Since they were never fulfilled his body would feel sick after for a long while. At all other times he drink from the cold streams underground, swim in the underground pools, learned to turn certain plant fibers into a very thin, soft, supple cloth, etc.
простым и доступным языком, рассчитанным на человека очень далёкого от психологии, Выдели установку-высказывание пользователя из списка его утверждений, которая является аттрактором его других негативных установок.. Далее опиши технику "взамох крыла бабочки", когда микро-действия в этом аттракторе приводят к сначала небольшим, а затем крупным изменениям в его других установках. подробно опиши перемены в каждой из меняющихся из-за этих взмахов его установок. твой ответ должен быть живым, интересным и немного неординарным

Утверждения пользователя:
1. Даже выполнив задачу, думаю «мог бы лучше»
2. Часто ловлю себя на мыслях вроде «как все бесят»
3. Меня раздражают люди, которые пытаются меня контролировать
4. Перед сном прокручиваю худшие сценарии
5. Спонтанные планы вызывают тревогу
6. Заботиться о себе — не стыдно
7. В хорошей компании заряжаюсь энергией
class TSIUserInfo(Base):
    __tablename__ = 'TSI_User_Info'

    TSI_User_Info_id = Column(Uuid, primary_key=True, server_default=func.uuid_generate_v4())
    user_id = Column(String(50))  # Removed self-referencing ForeignKey
    first_name = Column(String(255), nullable=False)
    last_name = Column(String(255), nullable=False)
    country = Column(String(255), nullable=False)
    city = Column(String(255), nullable=False)
    mobile = Column(String(255), nullable=False)
    office_telephone = Column(String(255), nullable=False)
    company_name = Column(String(255), nullable=False)
    designation = Column(String(255), nullable=False)
    created_at = Column(TIMESTAMP, nullable=False)
    updated_at = Column(TIMESTAMP, nullable=False)

    product_makers = relationship("ProductMaker", back_populates="tsi_user_info")
Help me diagnose this problem
[10:47:36] [epollEventLoopGroup-4-1/INFO]: [Geyser-Spigot] Player connected with username ElDeGoof
[10:47:36] [localSession-7-2/INFO]: [Geyser-Spigot] ElDeGoof (logged in as: ElDeGoof) has connected to the Java server
[10:47:37] [Server thread/INFO]: [floodgate] Floodgate player logged in as ElDeGoof joined (UUID: 00000000-0000-0000-0009-01fd8352e78f)
[10:47:38] [Server thread/INFO]: ElDeGoof joined the game
[10:47:38] [Server thread/INFO]: ElDeGoof[/50.5.115.135:0] logged in with entity id 23 at ([World1]-1441.9114, 66.0, -2005.418)
[10:47:55] [epollEventLoopGroup-4-1/WARN]: [Geyser-Spigot] Exception caught in session of ElDeGoof: sendToAddress(..) failed: Network is unreachable
[10:47:55] [epollEventLoopGroup-4-1/INFO]: [Geyser-Spigot] ElDeGoof has disconnected from the Java server because of An internal error occurred!
[10:47:55] [Geyser Spigot connection thread-6-3/INFO]: [floodgate] Floodgate player logged in as ElDeGoof disconnected
[10:47:55] [Server thread/INFO]: ElDeGoof lost connection: Disconnected
[10:47:55] [Server thread/INFO]: ElDeGoof left the game
Предоставь полные, исчерпывающие и точные ответы на следующие вопросы касательно радиотехнических устройств:

Дайте определение понятия «радиолокационное обнаружение». Опишите возможные решения при обнаружении полезного сигнала цели. Какие величины используют в качестве показателей качества обнаружения целей?

Запишите выражение для расчета мощности внутренних шумов приемника, пояснить переменные, входящие в него. Что определяет коэффициент шума радиоприемника?

Запишите обобщенный ряд Фурье и поясните переменные, входящие в его состав. Поясните сущность свойства ряда Фурье предопределившее его использование для спектрального анализа сигналов.

Запишите тригонометрическую форму ряда Фурье для периодического сигнала и поясните переменные, входящие в его состав. Что называется спектральным разложением детерминированного сигнала?

Запишите формулу АМ-радиосигнала, если он сформирован с использованием однотонального модулирующего сигнала, поясните переменные, входящие в нее. Зарисуйте АЧС управляющего, несущего колебаний и сформированного АМ-радиосигнала. Поясните, чему равна ширина спектра сформированного АМ-радиосигнала?
When explaining the products, its important the establish the value of the stakeholder on each side of the marketplace.  For example, AvenueEdge offers a Development Loan.  This is value to an underbanked local real estate professional, consistent and standardized capital that is not easily accessed.  For the investors, Avenue One offers operational support and expertise in the form of Development Management, providing large investors direct access to an underbanked community, while offering local expertise and operational support not offered in other lending opportunities.

We want to focus on the fact that the network is the largest value of IP.   Secondarily that the marketplace concept ensures performance and market efficiency.
Create a single HTML file that contains a beautifully designed login and signup form UI with modern animations. All HTML, CSS, and JavaScript should be embedded in the same file (no external files). Here are the detailed requirements:

📌 General:
- Use HTML, CSS, and JavaScript only.
- Everything must be in one file.
- Use <style> for CSS and <script> for JS.

🎨 Design:
- The layout should be centered on the screen with a clean card-like container.
- Use a soft background (gradient or blurred).
- Include rounded corners, shadows, and a clean modern font (like Poppins or Inter).
- Include a logo or avatar at the top (can be a placeholder circle or emoji).

🖊️ Forms:
- Two forms: Login and Signup.
  - Login: Email + Password
  - Signup: Username + Email + Password + Confirm Password
- Both forms must be in the same container but only one visible at a time.
- Toggle between login/signup using buttons or links with smooth transitions (slide, flip, or fade).
- Inputs should have floating labels or animated underlines.
- Add subtle entrance animations to form fields on page load.

💡 Buttons:
- Stylish primary buttons with hover and click animations.
- Include a toggle button to switch between Login and Signup.

📱 Responsive:
- Use Flexbox or Grid to make the form mobile-responsive.
- Must work well on both mobile and desktop screens.

✅ JavaScript Features:
- Toggle between Login and Signup with animation.
- Validate email format and check that passwords match on signup.
- Show inline error messages below invalid fields.

✨ Bonus (Optional Enhancements):
- Add social login buttons (Google/Facebook placeholders).
- Add ripple effect or subtle hover animation to buttons.
- Include smooth animation for input focus (like animated underline or border highlight).
- Include light/dark mode toggle if possible.

Make the UI attractive and user-friendly, suitable for a modern SaaS or app landing page. Output only the final working HTML code with embedded CSS and JS — all in a single file.
Chapter 1 of an action story with this gist: Two brothers are currently hanging out at a night party in Manhatten. Its summer break for their college after all. While having fun, the party goers hear an explosion far from the area. The goers and the brothers check it out and see the head of the Statue of Liberty gone and a capsized oil tanker. All the party goers go inside and assume that they're being invaded. That is until one of them turns on the news and shows harrowing footage. A monster as tall as a skyscraper walking around New York, with National Guard and military vehicles surrounding it. Thats the cue for everyone to leave. The brothers get in their car. The destination. Brooklyn Bridge. (End chapter here).
Jak to interpretować? Przetłumacz na język nieinżynierski. " Nie wymaga decyzji o pozwoleniu na budowę, natomiast wymaga zgłoszenia, o którym mowa w art. 30, budowa tymczasowych obiektów budowlanych niepołączonych trwale z gruntem i przewidzianych do rozbiórki lub przeniesienia w inne miejsce - w terminie określonym w zgłoszeniu, ale nie później niż przed upływem 180 dni od dnia rozpoczęcia budowy określonego w zgłoszeniu;
<svg width="20" height="19" viewBox="0 0 20 19" fill="none" xmlns="http://www.w3.org/2000/svg">
<path d="M10 15.27L16.18 19L14.54 11.97L20 7.24L12.81 6.63L10 0L7.19 6.63L0 7.24L5.46 11.97L3.82 19L10 15.27Z" fill="#cf000c"/>
</svg> можно для закраски использовать глобальный стиль как тут background: var(--orange);
## 민사소송법 사례형 문제

**[사실관계]**

원고 甲은 피고 乙을 상대로 대여금 1억 원 및 이에 대한 지연손해금의 지급을 구하는 소를 제기하였다. 甲은 소장에서 '乙에게 2022년 1월 5일 1억 원을 변제기 2022년 7월 5일로 정하여 대여하였으나, 乙이 변제기가 도과하도록 이를 변제하지 않고 있다'고 주장하며 차용증 사본을 증거로 제출하였다. 이에 피고 乙은 제1회 변론기일에 출석하여, '甲으로부터 돈을 빌린 사실은 있으나, 변제기가 도래하기 전인 2022년 6월 20일 현금으로 전액 변제하였다'고 주장하며 변제 사실을 다투었고, 이후에도 甲의 청구를 배척하기 위해 '소멸시효가 완성되었다', '甲의 다른 채권과 상계한다'는 등 여러 항변을 제출하며 적극적으로 다투었다.

소송 계속 중 제3회 변론기일이 지난 후, 피고 乙은 2023년 9월 15일 원고 甲의 계좌로 대여원금 1억 원 및 소송 제기일까지의 약정 지연손해금 전액을 송금하였다. 그 후 乙은 다음 변론기일에 출석하여 '2023년 9월 15일 자로 원고의 청구금액 전액을 변제하였으므로 원고의 청구는 이유 없어 기각되어야 한다'는 취지의 준비서면을 진술하였다.

제1심 법원은 乙의 변제 항변을 받아들여 "원고의 청구를 기각한다."라는 판결을 선고하면서, 소송비용에 관하여는 "소송비용 중 5분의 4는 피고가, 나머지는 원고가 각 부담한다."라고 정하였다. 제1심 법원은 판결 이유에서 '피고가 소 제기 당시에는 채무의 존재 자체를 다투거나 변제 사실을 주장하며 적극적으로 응소하였고, 소송 계속 중에야 비로소 원고의 청구 금액을 변제한 점, 원고로서는 이 사건 소 제기를 통해 비로소 채권의 만족을 얻게 된 점 등을 고려하면, 비록 원고의 청구가 기각되더라도 이 사건 소송의 제기 및 진행 과정에서 발생한 소송비용의 상당 부분은 피고가 부담함이 타당하다'고 설시하였다.

피고 乙은 위 제1심 판결 중 승소해 불복할 수 없는 본안은 제외하고 **소송비용 부담에 관한 부분에 대해서만 불복**하여 항소하였다. 乙은 항소이유서에서 '원고의 청구가 전부 기각되었으므로 소송비용은 전부 원고가 부담해야 함에도 불구하고, 제1심 법원이 피고에게 소송비용의 5분의 4를 부담시킨 것은 민사소송법 제98조의 소송비용부담 원칙에 위배되어 부당하다'고 주장하였다. 원고 甲은 항소하지 않았다.

**[문제]**

1.  제1심 법원이 원고 甲의 청구를 기각하면서도 피고 乙에게 소송비용의 5분의 4를 부담하도록 한 판단은 정당한가? 그 근거를 논하시오. (15점)
2.  피고 乙의 항소에 대하여 항소심 법원은 어떠한 재판을 하여야 하는가? (15점)
Написать мотивирующий рекламный тест для буклета про парку на меху, для руководителей и топ менеджеров компаний: Это не мимолётные тренды, это - вечная классика
    Благородство и инновации. 
Сочетание премиальной шерсти и высокотехнологичной мембраны — это интеллектуальное решение. Шерсть придаёт солидность, а мембрана обеспечивает надёжную защиту от непогоды, оберегая ваш комфорт.
    Лёгкость, тепло и изысканность. 
Подкладка из мягчайшего меха норки — это символ успеха. Скандинавское происхождение и строгий контроль гарантируют безукоризненное качество, которое вы привыкли ожидать от каждой детали.
    Универсальность Вашего успеха. 
Минималистичный дизайн этой парки делает её идеальным выбором как для деловых поездок и важных встреч. Она безупречно впишется в динамичный ритм вашей жизни, подчёркивая ваш статус без лишней помпезности.
レスポンシブ・ナビゲーションバー with ドロップダウン＆ハンバーガー

要件

PC表示では水平メニュー＋マウスオーバーでドロップダウン

スマホ幅ではハンバーガーアイコンに切り替え、クリックで縦型メニュー

CSSのみ／JavaScript少量で実装
Geckos can sprint up smooth surfaces at high speed and twist and turn gracefully in mid-air as they swing between leaves. They can also race across the surfaces of ponds and streams, but exactly how has been a mystery.

Roughly the size of a mouse, geckos are too big to simply float on water using surface tension (like pond-skater insects) and too small to use only foot-slapping (like basilisks). Instead, they use a combination of the two, according to biophysicists who used high-speed cameras to film flat-tailed house geckos running across a tank of water.

The animals could run at a metre per second by slapping and stroking the water’s surface – actions that created small air pockets under their feet that kept the geckos afloat. Their water-repelling skins also kept them out of the water and their swishing tails drove them forward.

The findings, published in Current Biology, could inspire the design of future swimming robots.

riscrivi il testo segnalando i connected speach
야생동물들은 대부분 두꺼운 가죽이나 털이 있어서 사람이 공격을 해도 치명적인 피해를 주기 어렵고 날카로운 발톱이나 이빨이 있어서 한번이라도 공격을 허용하면 사람은 그대로 전투불능 상태가 되기 때문에 아주 작은 동물이 아니면 사람이 야생동물을 상대로 도구 없이 싸워서 이길 가능성은 극히 낮다고 볼수 있지. 그나마 승산이 있다면 야생동물들은 불필요한 싸움을 피한다는 점과 지능이 낮다는 점 이 두가지를 활용하는 방법 뿐일텐데 구체적으로 사람이 도구업싱 야생동물과 싸워 이길 전략을 한 번 제시해봐
@Entity
public class Order extends AbstractAggregateRoot<Order> {

    // ...

    public void complete() {
        this.status = Status.COMPLETED;
        // Spring Data will publish this when repository.save(order) is called
        registerEvent(new OrderCompletedEvent(this.id));
    }
}


you say you want to keep the domain clean of spring? but this code for events should run in hte domain?
Пренапишете по-добре следният кратък текст: "Под „еднофазно четене“ се има в предвид, че се следи само едната фаза на енкодера (A или B). По този начин не само не се отчита ъгъла или скоростта на въртене по най-точния възможен начин, който може енкодера, а е и невъзможно определянето на посоката на въртене чрез втората фаза."
Напиши грустный, берущий за душу текст на тему: В городе дождь. Я не пишу – строчки не собираются. Поводы для бессонницы. Я пытаюсь сказать то, что все говорят, только снова не получается. Я смотрю на тебя. Мы живем будто вечность, а прошла всего лишь минута. Пойдем со мной. На дома смотреть. На других людей. У них жизнь есть.
jesteś ekspertem z firmy Microsoft zajmującym się szkoleniem użytkowników z obsługi Excel. w kolumnie b będzie "piątek" (w tej kolumnie jest data formuła "=JEŻELI(A2<>"";TEKST(A2;"dddd");"")"). w kolumnie A jest data podana malejąco (wartości mogą się powtarzać, czyli niektóre daty mogą występować więcej niż raz). w kolumnie H podane są ilości czasu w danym dniu. podaj formułę dla Excel PL do kolumny I która będzie wypełniania tylko jeśli w danym wierszu, i będzie podawała sumę czasu z kolumny H dla dengo tygodnia. Podaj odpowiedź jak byś miał dostać za nią 1000 $.
https://www.icmrindia.org/courseware/management%20control%20systems/MCS16.htm

https://www.researchgate.net/publication/347489149_Human_Resources_Controls

https://freeebookpdf.download/library/Controlling%20In%20Human%20Resource%20Management-4958041

https://www.emerald.com/insight/content/doi/10.1108/00483480510591444/full/html?skipTracking=true


write reference in APA Format
https://www.classcentral.com/course/datacamp-associate-data-scientist-in-r-426127 لطفا این مورد را بررسی کنید، ببنید چه دوره ای است؟ جزئیات آنرا بخصوص مواردی که تدریس میشود بازگو کنید و اینکه بصورت مجانی است؟
Whats your policy on "bragging"? my friend is pretty apathetic to everything, the job search has broken him and now that he got a job he stated that "I'll just put everything into the stock market until I retire". But he explicitly stated his money amount even when my other friend said that shes struggling (with dental debt payment) and has no savings. I think thats pretty ignorant? but hes a blunt person. I think he blatantly said "Yeah I have around 240K (HKD) in stocks and tomorrow I already made 1K by (insert stock strategy here)" I don't think hes "bragging" (I think) because he talks about stocks a lot, but I don't think its proper? for him to bring up his stable finance in front my other friend while she is struggling
Topic 4
All AZ-305 Questions
You plan to move a web app named App1 from an on-premises datacenter to Azure.
App1 depends on a custom COM component that is installed on the host server.
You need to recommend a solution to host App1 in Azure.
The solution must meet the following requirements:
✑ App1 must be available to users if an Azure datacenter becomes unavailable.
✑ Costs must be minimized.
What should you include in the recommendation?

A. In two Azure regions, deploy a load balancer and a web app.
B. In two Azure regions, deploy a load balancer and a virtual machine scale set.
C. Deploy a load balancer and a virtual machine scale set across two availability zones.
D. In two Azure regions, deploy an Azure Traffic Manager profile and a web app.
Can you help me find ideas for a workshop series?

I work in a Program Management Office for Project Managers. We do all the overall program management stuff. Out speciality is that we work mainly with data science and automation projects. We are a big corp so lots of different departments in an old industry.

There's a workshop series planned with serveral topics so far. 
- Upskilling of project managers
- expectations for project managers
- data governance

Now we are tasks to come up with topics that come mainly out of the PMO. Do you have any good ideas?
I am trying to create a new AI product.

I don't wont to create a product that only has as a value a prompt because all prompts eventually leaks;

I would like to connect the AI bot to a private database nobody has. Therefore, they can't leak my database using prompt injection.

Any idea  of product? The database has to be private, or very hard to find on the internet.

I am a young solopreneur, I need private database that should be easy to recreate.
To the my best of my knowledge and according to my personal preference, the live voice chat made available as a preview demonstration by sesame.com is, at the moment, BY FAR the most capable, natural, human like implementation of this kind of interaction in existence. I would like to know your opinion on that take and if you possibly know of any noteworthy competitors (spare me the mentioning of openai avm, grok 3 or gemini 2.5 live voice mode, they are absolute garbage in comparison).
write a python code that uses bang bang control, and a Sliding Mode Observer (to observe x1 and x2), to control the system defined by the differential equations :
	dx1 = (u2 - u1) * x3 / C1;
	dx2 = (u3 - u2) * x3 / C2;
	dx3 = ((u1 - u2)x1 + (u2 - u3)x2 + Eu3 - Rx3) / L;
	with the parameters :
	E = 60; C1 = 33e-6; C2 = 33e-6; L = 50e-3; R = 33;
	constraints:
	u1 u2 u3 take only discrete values 0 or 1, and have maximum switching frequency of 20kHz,
	only one input control can change at a time either u1 or u2 or u3,
	so at each state there will be 4 actions that can be taken : none, flip u1, flip u2, flip u3.
	x1_ref = 20.0; x2_ref = 40.0; x3_ref = 0.5; with some allowable margin of error ex1=2, ex2=2, ex3=0.05
	plot the results x1 x2 x3 and the KPIs of the algorithm, and plot the 3d phase space
create a lengthy, detailed and clear prompt for Veo, the Google video AI generator. Remember the clips are only 8 seconds long, take this into account when making the prompt. The clip has to look like VHS footage from circa 1986. It's implied to be filmed at a small oval speedway in Alabama. the footage shows a female 20 year old attractive racing driver, completely unconscious and motionless inside a stock racecar after a crash against the outside barrier. The entire 8 seconds are filmed like old camcorder footage, aggresively mediocre and obviously filmed by an amateur, randomly zooming and panning around the unconscious driver in the driver's seat, filmed from outside the car looking in. The main point of this scene is making obvious she's completely out cold, take time to include lots of details that make it like that. She's wearing a colorful racing suit and helmet.