integral
US /ˈɪntɪɡrəl, ɪnˈtɛɡrəl/
・UK /ˈɪntɪgrəl/
B1 中級英檢高級
adj.形容詞必需的 ； 不可缺的
Getting enough sleep is an integral part of good health
adj.形容詞構成整體的
The engine is an integral component of the car.
n.名詞積分
The integral of the function was calculated using complex analysis.
adj.形容詞完整的
The building's design is integral, with every part contributing to the overall aesthetic.
影片字幕
zBitx 介紹：QRP SDR 的尺寸與說明！ (zBitx Introduction : The QRP SDR's size and description)
- It's not, uh, the battery case is not integral to the radio itself, right?
我們之所以沒有提供充電器或內置電池，是因為如果您嘗試在收音機運行時給電池充電，那麼收音機就會因為充電而產生大量噪音。
- It's not, uh the battery case is not integral to the radio itself, right?
我們之所以沒有提供充電器或內置電池，是因為如果您嘗試在收音機運行時給電池充電，那麼收音機就會因為充電而產生大量噪音。
歐巴馬總統在 Google Hangout 暢談高中電腦程式設計！ (President Obama on Computer Programming in High School in a Google Hangout. )
- and how integral it is into our economy,
某集團。
- now and how integral it is into our economy and how fascinated
現在，它與我們的經濟是多麼的密不可分，它是多麼的令人著迷。
IELTS 12 總複習 單元 1 人生故事 (Prepare for IELTS 12 unit 1 life stories)
- Yes, I think failure is an integral part of success.
是的，我認為失敗是成功不可或缺的一部分。
- Answer: Yes, I think failure is an integral part of success.
許多成功人士在取得巨大成功之前都曾多次失敗。
瑪琳與詹姆士柯登的搞笑精華！ (The Best of Malcolm & Margaret Corden)
- Regular watchers of the show will know their mum and dad have been integral to what we do here at the Late Late Show.
常規
- Regular watchers of the show will know that mom and dad have been integral to what we do here at the Late Late Show, we've sent them to the Grammys, they've been to the Tonys, they've been to the wrestling Halloween Horror Nights, they've been to how many Super Bowls have you have you both been to?
經常觀看《深夜秀》的觀眾一定知道，爸爸媽媽對我們在這裡所做的一切都不可或缺，我們派他們參加過格萊美獎，他們參加過託尼獎，他們參加過萬聖節恐怖之夜摔跤比賽，你們倆參加過多少次超級碗比賽？
夫朗和費繞射原理大解密！ (Fresnel Diffraction Explained)
- So the critically important part is what's inside the integral here.
這些只是讓我們的生活變得更簡單的構想。
- This is the Fresnel integral.
是以，G 是 X 的函數。
IELTS口說9分流利回答 (附中文字幕)！印度考生實戰分享！ (IELTS Speaking Band 9 Fluent Answers India with Subtitles)
- I'm going to ask you a couple of questions to get to know you better, and some questions on a general topic. Why are you taking this exam? The IELTS exam is important for me as I'm planning to pursue my PhD in quantum computing in the United States, and simply put, it is an integral part of my academic CV. Where do you live? Well, I live in the capital of Karnataka, Bengaluru, in a three-bedroom detached house with my parents and siblings. Let's talk about cars and buses. How often do you use a car? How about a bus? I use my car quite often, at least once or twice a day to either get to work or school. I just used my car an hour ago to get to this exam here. Since I have a car, I don't quite use the bus. Where is the last place you went to in your car? As I just said, I used my car an hour ago to get here to this exam. I parked it a couple of blocks away from here. When is it a good idea to take the bus instead of a car? Well, I would say it's a good idea to take the bus instead of a car if a person's been drinking or is unable to drive. It is dangerous to drive if a person is impaired or, you know, not fit to drive due to an injury. When I sprained my ankle last year, I took the bus for a whole week. When is a car better to use than a bus? I would say using a car for long trips especially is better because it's super convenient and comfortable. You get to stop whenever you want to and you can play your own music. Has bus transportation in your city changed in the last 10 years? Oh yes, the transit system has drastically changed in the past decade. There are newer routes and modern buses compared to back in 2010. I would say that it's a good step going forward because buses have lower emission. If you could buy any kind of car, what would you buy and why?
為了更好地瞭解您，我將問您幾個問題，還有一些一般性的問題。您為什麼要參加這次考試？雅思考試對我來說很重要，因為我計劃在美國攻讀量子計算博士學位，簡單地說，它是我學術履歷中不可或缺的一部分。您住在哪裡？我和父母及兄弟姐妹住在卡納塔克邦首府班加羅爾的一棟三居室獨立別墅裡。讓我們來談談汽車和公車。您多久開一次車？公車呢？我經常開車，每天至少一到兩次，去上班或上學。一個小時前，我剛剛用車去參加了這次考試。自從有了車，我就不怎麼坐公車了。您最後一次開車去的地方是哪裡？正如我剛才所說，我一小時前開車來參加考試。我把車
- And simply put, it is an integral part of my academic CV.
帕特爾博士是一個精明的人。他非常善於評估挑戰，並能迅速提出真正的解決方案。每當我在碩士論文的算法上遇到困難時，他都是我的得力助手，幫助我解決難題。他是一個勤奮的人，在計算機實驗室和教學上投入了幾十個小時，同時還花時間陪伴家人和朋友。我非常尊敬他。我喜歡和他一起工作，因為我們對量子計算有著共同的興趣。
中國如何在中國自家後院擊敗印度！ (How China is Beating India in Its Own Backyard)
- If you open a map that tracks ships, zoom in on the Indian Ocean, then turn on live tracking... ...the vital arteries of global commerce become obvious Without access to it, trade between Europe, the Middle East, Africa and Asia... ...would basically grind to a halt These are the choke points, the critical passages that fuel the world economy For India, they're non-negotiable, carrying almost all its trade and energy Since the Indian Ocean is named after India, it is quite integral to India's worldview But it's also important to another giant China is pouring billions into ports, infrastructure and naval expansion And that has India alarmed China is not violating any international rules And China is not infringing upon India's interests Therefore, they have to change their mentality What were once obscure specks in the vast Indian Ocean... ...are now the silent targets in a looming struggle One that could choke global trade and tilt the balance of power There's increased competition between the US and China... ...between China and India as well, vying for influence within that President Donald Trump's shift in foreign policy... ...has cast uncertainty on the US's role in the region I will put America first And open doors for China At the centre of it all are tiny countries like Mauritius... ...which find themselves courted by powers that might once have overlooked them Mauritius is known for its beautiful white sand beaches, the lagoon... ...the great five-star hotels and the hospitality of Mauritians But it's more than that Mauritius controls 2.3 million kilometres... ...of economic exclusive zone in the Indian Ocean It sits in the middle of the maritime trade So it shows how strategic, important Mauritius is Its heat sweetens those sugar canes on which the island's economy depends When I was born, the country was living off sugar cane plantation We saw a kind of a surge of interest from the early 2000s from China It shifted from China to India... ...leveraging on the fact that Mauritius is also known as Little India... ...or Chota Bharat, as we say And these countries do help us, be it China, be it India So it's helping the country to prosper But just beyond these pristine shores, military bases... ...on the Agalega Islands, a territory governed by Mauritius... ...India has constructed a new airstrip to land surveillance aircraft... ...in large part to track Chinese activity Meanwhile, Diego Garcia, another island Mauritius has sovereignty over... ...has proved strategic for US and UK military power... ...with a base there since the 1970s When powers become global, one thing they want to do... ...is kind of spec the globe with military bases to project power internationally And when you think about that kind of network... ...it's something that China is starting to set its sights on But China is not alone India's Agalega base signals a shift in its global ambitions too... ...driven by economic expansion and tensions with China India and China have had ties dating back millennia They had a brief period of friendship in the 1950s... ...but the two countries fought a border war in 1962 And the relationship honestly has never quite recovered It's characterised by deep mistrust, a deep sense of insecurity on Delhi's part And in fact, in 2020, the two countries fought a series of border skirmishes... ...which resulted in loss of life on both sides If the dispute between India and China was primarily land-based in the past... ...now both countries are thinking about how that extends into the maritime domain Four of the world's six most important maritime chokepoints are in the Indian Ocean... ...making it absolutely critical to global trade When you think about countries like India and China... ...the dependency is really quite startling India relies on the ocean for something like 95% of its international trade... ...80% of its energy In fact, 40% of the world's offshore petroleum is found in the Indian Ocean... ...and nearly half of oil products transiting through these chokepoints... ...are received by India and China When Beijing looks at its energy security, its ability to procure oil for example... ...it's very heavily dependent on the Middle East to some extent, Africa... ...and nearly all of that goes through this chokepoint called the Strait of Lacka Blocking any of these routes would have a huge impact on global trade... ...creating a potential flashpoint for conflict But China has seemingly been preparing As part of its Global Belt and Road Initiative... ...it has asserted its regional influence... ...with multi-billion-dollar infrastructure investments across the Indian Ocean You can see China's influence in infrastructure, the airport, the dam... ...the headquarters of the national radio TV station In Mauritius, they've also installed surveillance cameras... ...made by Chinese telecom giant Huawei You will find that all these projects are economic projects... ...which of course are welcomed by these countries Alongside its aggressive military build-up in the South China Sea... ...China is also extending its reach into the Indian Ocean Chinese warships have been sent on anti-piracy missions... ...and billions funnelled into 46 commercial ports... ...36 of which can host naval vessels On Africa's east coast, China built its first military base in Djibouti... ...and is expanding its naval footprint in Cambodia... ...giving it the potential to project power from both sides of the Indian Ocean The rate at which China is building ships, aircraft, missiles... ...you have actually a dramatic expansion of Chinese military power It's a growing concern for Indian policymakers... ...who know the Indian Ocean is more than just a trade route The idea that an external power... ...and these days it's increasingly Beijing that they're thinking of... ...could shut that down or somehow hinder it... ...is a really big threat to India's national security... ...and its hopes of rising As China pushes in, the power that has dominated... ...the Indian Ocean for decades is in retreat We have more breaking news on this Friday night Secretary of State Marco Rubio now ordering the US... ...to immediately stop almost all foreign aid and supplies... ...pending a review The US cuts to foreign assistance are like a gift to China The US had been investing aid in democracy promotion... ...protecting civil society, health, education, transparent economic development Now that many of those programmes have gone away... ...it really is allowing China an opportunity to come in and fill the gaps While the US still controls more military installations than any other nation... ...with about 750 across at least 80 countries... ...President Trump's foreign policy has meant scaling back... ...on global defence commitments And that puts more pressure on the US base on Diego Garcia... ...to counter China's growing presence This is the only base where the US has bombers in the Indo-Pacific region... ...aside from Guam And it's an area where countries like India... ...would not want the Chinese to get access and get a hold on As a result, India is flexing its military might Alongside the airstrip in Agalega... ...it has commissioned a new base on Minicoy Island... ...and opened its first offshore military logistics hub... ...at Dukhum Port in Oman It's also working harder to win hearts and minds around the Indian Ocean We are at the main metro station in Portlis, the capital The whole project has been funded through grants from India It showcases India's investment in a small island nation like Mauritius While China continues to dominate regional investment... ...not all of its projects have delivered See this picture?
如果你打開一張追蹤船隻的地圖，放大印度洋，然後打開實時追蹤................................這些都是咽喉要道，是推動世界經濟的關鍵通道 對印度來說，這些通道不容談判，幾乎承載了印度所有的貿易和能源 因為印度洋是以印度命名的，所以它在印度的世界觀中是不可或缺的 但它對另一個巨人也很重要 中國正在向港口、基礎設施和海軍擴張投入數十億美元 這讓印度感到震驚 中國沒有違反任何國際規則 也沒有侵犯印度的利益......現在是一場迫在眉睫的鬥爭中的沉默目標，這場鬥爭可能會扼殺全球貿易，使
- Since the Indian Ocean is named after India, it is quite integral to India's worldview.
