Javascript的數學難題

首先先考大家幾個數學題,如果這幾題的答案你都能順利的回答,那恭喜你!你可以安心地閱讀這篇文章,你一定能看懂!

題目ㄧ. 0.1 + 0.2 = ?
題目二. 1 – 0.9 = ?
題目三. 0.69 x 10 = ?

相信上面三個簡單的十進位數學運算,你的答案應該會跟我一樣吧?

第一題. 0.3
第二題. 0.1
第三題. 6.9

上面應該是無庸置疑的答案,但是如果我們把這三個題目丟給Javascript去運算之後,得到的結果會變成這樣:

第一題. 0.1 + 0.2 = 0.30000000000000004
第二題. 1 – 0.9 = 0.09999999999999998
第三題. 0.69 x 10 = 6.8999999999999995

什麼!?Javascript連這種小學生的算術都會算錯嗎?其實是有原因的,Javascript所有數字都是以64位浮點數形式儲存,也就是所有的數字都會變轉換成二進位。

上面題目中特別有提到這是3個十進位的數學運算,這也就是這個題目的重點,如果今天的題目改成:10 / 3 = 3.3333333333333334 也許你就能比較明白了,也就是說在十進位中要表達 1 / 3 和二進位中表達 1 / 10 一樣困難。

但其實在我們設計網頁的過程中,使用者是沒有二進位觀念的,只在乎運算出來的數值是否符合十進位的結果,這個時候我們可以利用一些技巧來達成正確的結果。

方法1 . 將小數變成整數後再進行運算


第一題. ((0.1 x 10) + (0.2 x 10)) / 10 = 0.3
第二題. ((1 x 10) – (0.9 x 10)) / 10 = 0.1
第三題. ((0.69 x 100) x 10 / 100) = 6.9

雖說以上的方法能夠順利完成任務,但若運算的數值是動態(Dynamic)的,乘數的部分就比較難下,所以我們可以採用第二種方法。

方法2. Math.js(https://mathjs.org/


透過網站上提供的js,或是透過CDN(https://cdnjs.com/libraries/mathjs)來引入後,透過以下的方法,就可以正確計算出上面三個題目的結果,其中14指的是精準度,通常已經很夠用了。

第一題. math.format(0.1 + 0.2 , 14) = 0.3
第一題. math.format(1 – 0.9 , 14) = 0.1
第一題. math.format(0.69 x 10 , 14) = 6.9

其實Math.js還有很多好用的功能,可以到它官方的網站閱讀一些文章,基本上所有的數學運算應該都可以透過它來玩完成。

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    A Thai crocodile farmer who goes by the nickname “Crocodile X” said he killed more than 100 critically endangered reptiles to prevent them from escaping after a typhoon damaged their enclosure.

    Natthapak Khumkad, 37, who runs a crocodile farm in Lamphun, northern Thailand, said he scrambled to find his Siamese crocodiles a new home when he noticed a wall securing their enclosure was at risk of collapsing. But nowhere was large or secure enough to hold the crocodiles, some of which were up to 4 meters (13 feet) long.

    To stop the crocodiles from getting loose into the local community, Natthapak said, he put 125 of them down on September 22.

    “I had to make the most difficult decision of my life to kill them all,” he told CNN. “My family and I discussed if the wall collapsed the damage to people’s lives would be far bigger than we can control. It would involve people’s lives and public safety.”
    Typhoon Yagi, Asia’s most powerful storm this year, swept across southern China and Southeast Asia this month, leaving a trail of destruction with its intense rainfall and powerful winds. Downpours inundated Thailand’s north, submerging homes and riverside villages, killing at least nine people.

    Storms like Yagi are “getting stronger due to climate change, primarily because warmer ocean waters provide more energy to fuel the storms, leading to increased wind speeds and heavier rainfall,” said Benjamin Horton, director of the Earth Observatory of Singapore.

    Natural disasters, including typhoons, pose a range of threats to wildlife, according to the International Fund for Animal Welfare. Flooding can leave animals stranded, in danger of drowning, or separated from their owners or families.

    Rain and strong winds can also severely damage habitats and animal shelters. In 2022, Hurricane Ian hit Florida and destroyed the Little Bear Sanctuary in Punta Gorda, leaving 200 animals, including cows, horses, donkeys, pigs and birds without shelter.

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    A Thai crocodile farmer who goes by the nickname “Crocodile X” said he killed more than 100 critically endangered reptiles to prevent them from escaping after a typhoon damaged their enclosure.

    Natthapak Khumkad, 37, who runs a crocodile farm in Lamphun, northern Thailand, said he scrambled to find his Siamese crocodiles a new home when he noticed a wall securing their enclosure was at risk of collapsing. But nowhere was large or secure enough to hold the crocodiles, some of which were up to 4 meters (13 feet) long.

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    “I had to make the most difficult decision of my life to kill them all,” he told CNN. “My family and I discussed if the wall collapsed the damage to people’s lives would be far bigger than we can control. It would involve people’s lives and public safety.”
    Typhoon Yagi, Asia’s most powerful storm this year, swept across southern China and Southeast Asia this month, leaving a trail of destruction with its intense rainfall and powerful winds. Downpours inundated Thailand’s north, submerging homes and riverside villages, killing at least nine people.

    Storms like Yagi are “getting stronger due to climate change, primarily because warmer ocean waters provide more energy to fuel the storms, leading to increased wind speeds and heavier rainfall,” said Benjamin Horton, director of the Earth Observatory of Singapore.

    Natural disasters, including typhoons, pose a range of threats to wildlife, according to the International Fund for Animal Welfare. Flooding can leave animals stranded, in danger of drowning, or separated from their owners or families.

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    A Thai crocodile farmer who goes by the nickname “Crocodile X” said he killed more than 100 critically endangered reptiles to prevent them from escaping after a typhoon damaged their enclosure.

    Natthapak Khumkad, 37, who runs a crocodile farm in Lamphun, northern Thailand, said he scrambled to find his Siamese crocodiles a new home when he noticed a wall securing their enclosure was at risk of collapsing. But nowhere was large or secure enough to hold the crocodiles, some of which were up to 4 meters (13 feet) long.

    To stop the crocodiles from getting loose into the local community, Natthapak said, he put 125 of them down on September 22.

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    Typhoon Yagi, Asia’s most powerful storm this year, swept across southern China and Southeast Asia this month, leaving a trail of destruction with its intense rainfall and powerful winds. Downpours inundated Thailand’s north, submerging homes and riverside villages, killing at least nine people.

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    But when Karadsheh moved to the United States at age 16, she witnessed people doing detoxes or restricting certain food groups or ingredients. Surrounded by that narrative and an abundance of new foods in her college dining hall, she says she “gained the freshman 31 instead of the freshman 15.” When she returned home to Egypt that summer, “I eased back into eating the Mediterranean food that I grew up with. During the span of about two months, I shed all of that weight without thinking I was ever on a diet.”
    To help invite joy back to the table for others — and to keep her family’s culinary heritage alive for her two daughters (now 14 and 22) — Atlanta-based Karadsheh launched The Mediterranean Dish food blog 10 years ago. Quickly, her table started getting filled with more than just her friends and family.

    “I started receiving emails from folks whose doctors had prescribed the Mediterranean diet and were seeking approachable recipes,” Karadsheh said. The plant-based eating lifestyle, often rated the world’s best diet, can reduce the risk for diabetes, high cholesterol, dementia, memory loss and depression, according to research. What’s more, the meal plan has been linked to stronger bones, a healthier heart and longer life.

    Preparing meals the Mediterranean way, according to Karadsheh, can help you “eat well and live joyfully. To us, ‘diet’ doesn’t mean a list of ‘eat this’ and ‘don’t eat that.’” Instead of omission, Karadsheh focuses on abundance, asking herself, “what can I add to my life through this way of living? More whole foods, vegetables, grains, legumes? Naturally, when you add these good-for-you ingredients, you eat less of what’s not as health-promoting,” she told CNN.

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    Big-box retailers are getting into Halloween earlier and earlier, suggesting American consumers continue spending on the October holiday even as they pull back from other discretionary purchases.

    Customers in the US and Canada can buy their Chipotle burrito costume for the same price as in store, but without having to visit the seasonal Halloween store that pops up in abandoned storefronts every year, Uber said. Of course, there will still be the fees associated with Uber Eats delivery.

    Spirit Halloween has 1,525 locations.

    “The holiday season officially kicks off this time of year, and households across the country are looking to on-demand delivery to get what’s needed—now,” said Beryl Sanders, director of US grocery and retail partnerships at Uber, in a statement.

    Since the pandemic, different types of retailers have partnered with Uber to deliver their goods – such as Olive Garden for its breadsticks and pasta. Uber Eats has also partnered with Big Lots, Lowe’s, Michael’s and Party City for on-demand delivery.

    Uber and its competitors have also experimented with robot deliveries, though those have not fully taken off in the US market.

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    Sea robins are so adept at rooting out prey as they walk along the ocean floor on their six leglike appendages that other fish follow them around in the hope of snagging some freshly uncovered prey themselves, said the authors of two new studies published Thursday in the journal Current Biology.

    David Kingsley, coauthor of both studies, first came across the fish in the summer of 2016 after giving a seminar at the Marine Biological Laboratory in Woods Hole, Massachusetts. Kingsley is the Rudy J. and Daphne Donohue Munzer Professor in the department of developmental biology at Stanford University’s School of Medicine.

    Before leaving to catch a flight, Kingsley stopped at a small public aquarium, where he spied sea robins and their delicate fins, which resemble the feathery wings of a bird, as well as leglike appendages.

    “The sea robins on display completely spun my head around because they had the body of a fish, the wings of a bird, and multiple legs like a crab,” Kingsley said in an email.
    “I’d never seen a fish that looked like it was made of body parts from many different types of animals.”
    Kingsley and his colleagues decided to study sea robins in a lab setting, uncovering a wealth of surprises, including the differences between sea robin species and the genetics responsible for their unusual traits, such as leglike fins that have evolved so that they largely function as sensory organs.

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    The front of the dress was slashed open across Jenner’s right shoulder, exposing a matching denier bra. The peekaboo moment conjured up memories of another example of fashionable flashing: Lil’ Kim’s purple embellished jumpsuit at the VMAs 26 years earlier. On the red carpet, Kim’s left breast was almost entirely revealed by an asymmetrical cut — a mirror image of Jenner’s neckline — save for a matching purple nipple pasty.
    Jenner’s Mugler moment was just the latest example of a resurging tendency for underwear as outerwear. At the Nensi Dojaka runway show in London earlier this month, boxy blazers were shrugged over strappy bras while paneled bustiers in sheer fabric were paired with capri trousers and reimagined as going out tops. Brasseries were even left exposed to the elements at Erdem — a departure for a house beloved by both British acting royalty (Kristen Scott Thomas) and actual royalty (the Duchess of Cambridge). Dolce & Gabbana got the memo, too, showing satin corsets, garter belts and Madonna-esque cone bras at Milan Fashion Week on Saturday. Florence Pugh even wore one of the label’s risque designs in her first British Vogue cover last week — the circle neckline of her puff-shouldered black dress scooping just above the belly button, acting as a full-frontal frame for her bra.
    But the trend extends beyond just the runways. During the first performance of her “Short n’ Sweet” tour on Monday, singer Sabrina Carpenter took to the stage in a custom Victoria’s Secret bodysuit and stockings. Hand-adorned with over 150,000 crystals, the strapless pink lace-trimmed leotard took over 140 hours to make. On Monday,YouTube star and singer Jojo Siwa inverted the fad by donning a codpiece for a headline-grabbing cover shoot with LadyGunn magazine. The 15th century undergarment was bedazzled with flesh-colored gemstones.

  29. KeithMup表示:

    7 simple secrets to eating the Mediterranean way
    kraken darknet
    What if “diet” wasn’t a dirty word?

    During Suzy Karadsheh’s childhood in Port Said, Egypt, diet culture was nonexistent.

    “My parents emphasized joy at the table, rather than anything else,” Karadsheh said. “I grew up with Mediterranean lifestyle principles that celebrate eating with the seasons, eating mostly whole foods and above all else, sharing.”

    But when Karadsheh moved to the United States at age 16, she witnessed people doing detoxes or restricting certain food groups or ingredients. Surrounded by that narrative and an abundance of new foods in her college dining hall, she says she “gained the freshman 31 instead of the freshman 15.” When she returned home to Egypt that summer, “I eased back into eating the Mediterranean food that I grew up with. During the span of about two months, I shed all of that weight without thinking I was ever on a diet.”
    To help invite joy back to the table for others — and to keep her family’s culinary heritage alive for her two daughters (now 14 and 22) — Atlanta-based Karadsheh launched The Mediterranean Dish food blog 10 years ago. Quickly, her table started getting filled with more than just her friends and family.

    “I started receiving emails from folks whose doctors had prescribed the Mediterranean diet and were seeking approachable recipes,” Karadsheh said. The plant-based eating lifestyle, often rated the world’s best diet, can reduce the risk for diabetes, high cholesterol, dementia, memory loss and depression, according to research. What’s more, the meal plan has been linked to stronger bones, a healthier heart and longer life.

    Preparing meals the Mediterranean way, according to Karadsheh, can help you “eat well and live joyfully. To us, ‘diet’ doesn’t mean a list of ‘eat this’ and ‘don’t eat that.’” Instead of omission, Karadsheh focuses on abundance, asking herself, “what can I add to my life through this way of living? More whole foods, vegetables, grains, legumes? Naturally, when you add these good-for-you ingredients, you eat less of what’s not as health-promoting,” she told CNN.

  30. JerryVam表示:

    Zooma

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