Series Rubber
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 BROWNING ELITE SIGNATURE SERIES FOLDING KNIFE 3227082 US $24.95
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 Gerber Bear Grylls Survival Folding Scout Knife US $35.00
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 Gerber 31 000754 Bear Grylls Survival Series Scout Serrated Knife NEW US $30.00
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 Gerber 31 000752 Bear Grylls Survival Series Folding Sheath Knife NEW US $31.95
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 BUCK BUCKLITE ORANGE HUNTING KNIFE BU679ORSBC US $45.00
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 Remington Excursion Series I Knife IMC Clip US $43.88
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 Gerber 31 000752 Bear Grylls Survival Series Folding Sheath Folder Knife US $33.00
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 GERBER METOLIUS FOLDING LOCKBACK GUTHOOK HUNTING KNIFE w SHEATH 31 000010 NEW US $22.99
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 GERBER 06551 EZ OUT JR KNIFE SERRATED BLADE 7471 US $31.99
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 Hogue Rubber Grip Beretta 92/96 Series Grip with Finger Grooves List Price: Sale Price: $13.13 You save: $11.82 (47%)  Eligible for free shipping!Availability: Usually ships in 1-2 business days DescriptionHogue rubber grips are molded from a durable synthetic rubber that is not spongy or tacky, but gives that soft recoil absorbing feel, without affecting accuracy. This modern rubber requires a completely different molding process than ordinary neoprene and results in a much superior grip...  |
 Luminox Men's 3089 Navy Seal Colormark Chronograph 3080 Series Black Chronograph Rubber Band, Orange Accents Watch List Price: Sale Price: $293.99 You save: $206.01 (41%) Eligible for free shipping!Availability: Usually ships in 24 hours DescriptionAs a supplier of military watches for the U.S. Navy SEALs and U.S. Air Force, Luminox watches are designed to handle any sort of environment at any given moment. Luminox expanded the collection to include an entire line of watches of many types and styles created for the active consumer, the sportsman, law enforcement and military groups... |
 Oster Equine Care Series Curry Comb, Fine, Blue List Price: Sale Price: $7.28 You save: $2.71 (27%) Eligible for free shipping!Availability: Usually ships in 1-2 business days DescriptionOster ECS Line of Grooming Tools feature control touch handles that are ergonomically designed to reduce hand fatigue. These one-of-a kind grooming tools are made to last and offer uncompromising results in horse grooming. |
 Luminox Rubber 3000 Series Navy Seal Watch Band Sale Price: $29.95 Eligible for free shipping!Availability: Usually ships in 1-2 business days |
 Luminox Men's 3051.BO Navy Seal Colormark 3050 Series All Black With Rubber Band Watch List Price: Sale Price: $246.05 You save: $103.95 (30%) Eligible for free shipping!Availability: Usually ships in 24 hours DescriptionBlack polyester (carbon reinforced) case with a black rubber bracelet. Unidirectional ratcheting black polymer bezel. Black dial with luminous hands and black arabic numeral hour markers. Minute markers around the outer rim... |
 22mm Double Tang Modena Italian Rubber Dive Watch Band Fits LuminoxSeries: 3000 Original Navy SEAL Dive Series, etc. List Price: Sale Price: $12.59 You save: $17.39 (58%) Eligible for free shipping!Availability: Usually ships in 24 hours DescriptionGreat price on one (1) BLACK 22mm MODENA Italian Rubber Watch Band with Stainless Steel Double Tang buckle for any watch that uses 22MM watch bands! - 4mm thick. -- 8 inches long and on your watch these will fit any wrist up to 9 inches... |
 Hogue Rubber Grip S&W 5900 Series Rubber Grip Panels List Price: Sale Price: $15.64 You save: $9.31 (37%) Eligible for free shipping!Availability: Usually ships in 1-2 business days DescriptionHogue rubber grips are molded from a durable synthetic rubber that is not spongy or tacky, but gives that soft recoil absorbing feel, without affecting accuracy. This modern rubber requires a completely different molding process than ordinary neoprene and results in a much superior grip... |
 Hogue Rubber Grip S&W 4516 Series Rubber Grip Panels List Price: Sale Price: $15.64 You save: $9.31 (37%) Eligible for free shipping!Availability: Usually ships in 1-2 business days DescriptionHogue rubber grips are molded from a durable synthetic rubber that is not spongy or tacky, but gives that soft recoil absorbing feel, without affecting accuracy. This modern rubber requires a completely different molding process than ordinary neoprene and results in a much superior grip... |
 NcStar 3-9X40 Rubber Scope/Ruby Lens/Ring (SFR3940R) List Price: Sale Price: Too low to display Eligible for free shipping!Availability: Usually ships in 2-3 business days DescriptionDescription The only thing entry-level about this Scope is the price! Whether you're new to sighting-assisted shooting, or just looking for another all-purpose workhorse for your optics arsenal, here's an amazing offer that's not to be missed... |
 Buck Boone & Crockett Safety Series BuckLite MAX Fixed Knife with Guthook and Dynaflex Rubber Handle (Orange, 8 3/4-Inch overall) List Price: Sale Price: $24.99 You save: $26.01 (51%) Eligible for free shipping!Availability: Usually ships in 1-2 business days DescriptionThe Safety Orange TM Knives are a tribute to the principals of the famous Club TM. This Collection consists of proven reliable knives. Each blade has the Boone and Crokett TM logo etched into it, adding collectible air to the knife... |
Difficult Integration functions that require Taylor Series?
Are there any functions applied to real life sciences that are well known say, for example, the stretch of a rubber band or something of the sort, that requires Taylor Series to integrate? i.e. sin(x³) (though i cannot find a specific instance for this function).
sin(x^2) and cos(x^2) (or, if you treat the subject using complex numbers, these functions' related cousin e^(x^2)) appear in the study of diffraction (if you google "Fresnel integrals" you may find some useful links; I don't know the subject at all).
If you study the motion of a pendulum, in a first-year physics course one usually makes "small angle" approximations (that sin t is approximately t) to "linearize" the resulting equation and get nice solutions in closed form. Without any approximation, exact study of pendulum motion requires "special functions" (or series methods) because the integrals one needs to take cannot be done by elementary means. See the Wikipedia link below; in particular the section "arbitrary-amplitude period" for the definite integral expressing the period of a pendulum motion in terms of the length l of the pendulum, the gravitational constant g, and the angular displacement theta_0 at which you begin the periodic motion. The relevant function is f(t) = 1/sqrt(cos(t) - k) where k is some constant, and cannot be integrated by ordinary means.
I prefer this latter example myself. If you don't like pendulums you can give a different physical analogy: you have a spherical bowl and a tiny ball (so small and light that the effects of its rolling can be neglected, and of course friction doesn't exist). You place the ball at the lip of the bowl and let go. It turns out that you need to take "difficult" integrals to figure out something as simple as how long it takes for the ball to reach the bottom of the bowl!
