And what's g of 1? Well g of 1 is right over here. To g of 2 minus 1 times 8, which is the same thingĪs g of 1 times 8. What happens when x equals 2? Well when x equals 2, thisĬase doesn't apply anymore. Of 1- well if x equals 1, it's equal to 9. But we'll see that itĪctually does work out. Saying hey, g of x, well if x doesn't equal 1 it's going Why it's recursive is it's referring to itself. Use this recursive definition for g of x. Going to have x and we're going to have g of x. X other than 1, g of x is equal to the previousĮntry- so it's g of- I'll do that in a blue color. That this one right over here is going to be the previousĮntry, g of x minus 1. You multiply the 8s and we have a 9 in front, Here is g of x minus 1, however many times Let's go all the way down to x minus 1, and then an x. So that took care ofĮquals anything else it equals the previous g of x. So we could sayīecause I'm overusing the red. So let's define that asĪ recursive function. When x equals 1 is 9, every term after that is 8 When x is 4, this is going to beĨ to the 4 minus 1 power, or 9 to the 3rd power. I think you see a littleīit of a pattern forming. So we could write thatĪs 9 times 8 times 8. Then when x is equal toģ, what's going on here? Well this is going So that's the same thing asĩ times 8 to the 1st power. And then see what theĬorresponding g of x is. And let's thinkĪbout what happens when we put in various x's To understand the inputs and outputs here. Write a recursive definition of this exact same function. So this is an explicitlyĭefined function. So we could say theĭomain of this function, or all the valid inputs X being a positive- or if x is a positive- integer. Of x is equal to 9 times 8 to the x minus 1 power. Would I be right to make these conclusions?Īlso interested to hear any feedback on the recursive formula. Explicit ones are a lot simpler and faster. It would make sense, as I can't really see the value of recursive formulas if explicit ones always work. It seems that for a formula on the given issue to work, it is necessary to refer back to the previous term, and that you can't make explicit formulas for any sequence, even if you can make a recursive one. I've been trying for over an hour now though, to convert this into an explicit one, with no luck. It seems I've managed to make a recursive one that works: I was inspired by these formulas to make an explicit and recursive formula for the remaining debt after payment per term on a mortgage, with a fixed payment per term plan. Feel free to ask any questions for further explanation. I know that is a mouthful, but it is about the best way I can explain it. So in mathematical terms this means 4 * (-0.5)^n-1 times. Since f(1) is always 4 this means you can say 4 * -0.5 (whatever your n is, minus one, and you have to multiply times 0.5 this many times. so like f(50), that means you have to multiply f(1) * -0.5 49 times. So now you should see a pattern that whatever n equals you have to multiply f(1) n-1 times -0.5 to get the answer. to get f(4) you had to multiply f(1) * -0.5 three times. to get f(3) you had to multiply f(1) * -0.5 two times. But if you notice to get f(2) you had to multiply f(1) * -0.5 one time. then you could use f(2) to work out f(3) till you got to f(50). since you know f(1)=4 because it was given to you, you can plug in the numbers. You would have to get 47, then 46, then 45 until you got all the way back to 1. This is why it is called "recursive", the answer needs you to get the answer of the previous term to get your final answer. So you would have to find f(49) So you plug it in. Well then you need to know what f(49) is. If someone were to ask you "what is f(50).
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Tickborne diseases of the United States.Southern tick–associated rash illness.You can learn more about how we ensure our content is accurate and current by reading our editorial policy. We link primary sources - including studies, scientific references, and statistics - within each article and also list them in the resources section at the bottom of our articles. Medical News Today has strict sourcing guidelines and draws only from peer-reviewed studies, academic research institutions, and medical journals and associations. Western black-legged ticks are found in the Pacific Coast states and can cause Lyme disease and Borrelia miyamotoi disease. The ticks often come out to feed at night, and people do not usually notice that they have sustained a bite.īites from soft ticks can lead to tickborne relapsing fever. People tend to encounter these ticks when staying in rustic cabins. The western half of the U.S., including Texas, is home to the soft tick. Rocky Mountain wood tick bites can cause: The adults feed on large mammals, including humans. Rocky Mountain wood tickĪs their name suggests, these ticks live in the Rocky Mountain states. Usually, they feed on groundhogs, skunks, squirrels, raccoons, foxes, or weasels.įound throughout the eastern half of the U.S., they can transmit Powassan virus disease. Groundhog ticks only occasionally bite humans. This is more likely to happen in the southwestern U.S. They can transmit Rocky Mountain spotted fever. Experts have found them all over the world. Brown dog tickīrown dog ticks are more likely to affect dogs, but they also bite humans and other mammals. The bites can cause tularemia and Rocky Mountain spotted fever. They are more likely to bite people during the spring and summer. American dog tickĪmerican dog ticks live east of the Rocky Mountains and in some areas of the Pacific Coast. People are more at risk of a lone star tick bite from early spring to late fall.Īccording to the Centers for Disease Control (CDC), a lone star tick bite can sometimes lead to an allergy to red meat. The lone star tick is an aggressive tick that lives across the U.S., though it is more common in the south.
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When you are inspecting those areas for bugs, there are two pieces of evidence to look for, according to Brickman: any live insects or “black spotting from fecal matter.” And if you do find evidence of bugs in your sheets or on top of your mattress protector, I have both good and bad news. I also looked for durable seams (especially those with workmanship guarantees of at least five years) that will prevent critters from burrowing inside covers at their weakest points. The best bedbug covers should prevent bedbugs from crawling through the zipper’s teeth, as well as have reinforcement around the small gap where the zipper opens and closes. I also looked for mattress covers that are hypoallergenic and machine washable.Īccording to Wong, what separates quality mattress encasements from inferior ones is the zipper. “If you’re going to protect your mattress, it may as well not be just from bedbugs,” points out Vanesa Levine, chief marketing officer at the extermination company Bed Bug 911, which also develops its own bedbug-prevention and -treatment products. Whichever fabric they’re constructed from, I looked for mattress protectors that are thick and durable, as well as waterproof, so that they serve the secondary function of protecting your mattress against sweat, bed-wetting, and spills. The fabric you choose is up to you, but when it comes to box-spring covers, Kane does suggest going for polyester, because he says the material is stretchy and less likely to tear. But while cotton is more breathable and less noisy, helping avoid that nasty hospital-bed feeling, polyester is more durable and can feel just as nice. “Vinyl covers aren’t breathable and rip very easily because they have no stretch,” Matthew Moers, co-owner of EZ Pest Exterminating, says. But the experts I spoke to suggested sticking with polyester or cotton, noting that the latter is generally the softest and most breathable material. “Getting rid of them isn’t that hard” when you stay calm and follow expert advice.īedbug mattress covers are generally made from cotton, polyester, or vinyl, all of which will keep bedbugs out of your mattress, Wong says. Just remember, “the battle of bedbugs is more psychological than anything else,” says Kane. I spoke with expert exterminators as well as professional sleep consultants, who recommended their favorite bedbug mattress covers, along with additional encasements made for box springs and pillows. In the event of an infestation, a mattress cover will also help preserve the integrity of your precious mattress, making it less likely you’ll have to throw it away, says Richard Kane, the founder of Bed Bug Pest Prep NYC. Instead, Wong says that mattress covers help with early detection, because they provide a smooth, clean, white surface that makes it easy to spot any visual evidence of bedbugs. “Only proper full encasements will work.” Contrary to popular belief, mattress covers do not prevent a bedbug infestation, according to Timothy Wong, the technical director of New York City–based, ecofriendly pest-management company M&M Pest Control. “Ordinary mattress covers are not sufficient,” says Ben Hottel, a board-certified entomologist and technical-services manager with Orkin. One of the best precautions is an encasement-style bedbug mattress cover, which professionals say can be a helpful tool for protecting your bed from blood-sucking creepy-crawlies. 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Cover the skillet and cook for about 5 minutes, or until the eggplant is getting soft and the tomatoes have released their juices. Add the tomato sauce, water, tomato paste and some salt and pepper to taste. Add the eggplant, tomatoes, sugar, and salt. Second batch: Heat the remaining oil and fry the second batch of eggplant slices. Heat olive oil in a large pot, then saute a diced onion until it’s soft and translucent. Fry half of the eggplant slices, about 3 minutes on each side or until golden and soft. What do you think about that? Have you tried the Okra Stew With Meat recipe yet? Please comment and share your experience. Start by cutting the tips off using a small knife, then wash the okra and drain well. 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The song appears in the films Caddyshack, This Boy's Life and American Shaolin, as well as season 4 of Beverly Hills, 90210.Īustralian rock 'n' roll singer Johnny Chester cited Cochran as one of his idols and had used the track when rehearsing his first band in 1959. The song is also on the Rock and Roll Hall of Fame and Museum list of "The Songs That Shaped Rock and Roll". In March 2005, Q magazine placed it at number 77 in its list of the 100 Greatest Guitar Tracks. The 1958 Liberty Records single by Eddie Cochran was inducted into the Grammy Hall of Fame in 1999 and the song is ranked number 73 in Rolling Stone's 500 Greatest Songs of All Time. Connie 'Guybo' Smith played the electric bass and Earl Palmer drums. Eddie Cochran sang both the vocal and bass vocal (the "work-a-late" portions, Cochran's tribute to the Kingfish character from the Amos and Andy television series), played all the guitar parts, and added the hand clapping with possibly Sharon Sheeley. "Summertime Blues" was recorded on March 28, 1958, at Gold Star Recording Studios in Hollywood, California. Finally, he considers visiting the United Nations to complain about his situation he settles for writing to his congressman, who brushes him off since he is too young to vote. After falsely telling the boss he is sick in order to get out of going to work, his parents will not let him use their car due to his laziness. The narrator resents having to take a job in order to earn pocket money, and he cannot go on a date with his girlfriend because his boss keeps scheduling him to work late. The song is about the struggle between a teenager and his parents, his boss and his congressman during the summer. Olivia Newton-John recorded this song for her Clearly Love album in 1975. It has been covered by many artists, including being a number-one hit for country music artist Alan Jackson, and scoring notable hits in versions by Blue Cheer, the Who and Brian Setzer, the last of whom recorded his version for the 1987 film La Bamba, in which he portrayed Cochran. Originally a single B-side, it was released in August 1958 and peaked at number 8 on the Billboard Hot 100 on September 29, 1958, and number 18 on the UK Singles Chart. It was written by Cochran and his manager Jerry Capehart. Eddie Cochran's music is influenced by genre(s) - rock and roll rockabilly country rhythm and blues." Summertime Blues" is a song co-written and recorded by American rock artist Eddie Cochran. Eddie Cochran's most popular songs include - Summertime Blues,C'mon Everybody,Somethin' Else. His songs have been recorded by a wide variety of recording artists. In 1987, Cochran was inducted into the Rock and Roll Hall of Fame. In 1954, he formed a duet with Hank Cochran (no relation) When they split the following year, Eddie began songwriting career with Jerry Capehart. Eddie Cochran was involved with music from an early age. Cochran experimented with multitrack recording, distortion techniques, and overdubbing even on his earliest singles. Summertime Blues has a significant contribution from artist(s) Eddie Cochran,Cochran,Jerry Capehart.Ībout Eddie Cochran - Ray Cochran's songs captured teenage frustration and desire in the mid-1950s and early 1960s. Eddie Cochran sang both the vocal and bass vocal. The song is about the struggle between a teenager and his parents, his boss and his "Summertime Blues" was recorded on Maat Gold Star Recording Studios in Hollywood, California. Originally a single B-side, it was released in August 1958 and peaked at number 8 on the Billboard Hot 100. 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