Free Taylor/Maclaurin Series calculator - Find the Taylor/Maclaurin series representation of functions step-by-stepIn this tutorial we shall derive the series expansion of the trigonometric function ax a x by using Maclaurin’s series expansion function. Consider the function of the form. f(x) = ax f ( x) = a x. Using x = 0 x = 0, the given equation function becomes. f(0) =ax =a0 = 1 f ( 0) = a x = a 0 = 1. Now taking the derivatives of the given function ...“Rt if you like my lingerie | free link in comments 😈💦”160 likes, 5 comments - statesmokesforever on November 23, 2022: " : @x_taylorp Agency: @brinic.co . . #socialmediamarketing #inspired #getcreative #..." pervmom kenzie love sixvides Business, Economics, and Finance. GameStop Moderna Pfizer Johnson & Johnson AstraZeneca Walgreens Best Buy Novavax SpaceX Tesla. CryptoCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...@x_taylorp. follow my Instagram x_taylorp. Image. 6:13 PM · Jul 26, 2023. ·. 10.7K. Views. 4. Reposts · 91. Likes. 1. Bookmark. 1.Tay (@heyyyytayyyyy) on TikTok | 123.2K Likes. 28.1K Followers. Yes I have one x_taylorp.Watch the latest video from Tay (@heyyyytayyyyy).An Eras Tour show clocks 3 hours and 15 minutes long, the longest of the pop singer's career, with 44 songs over 10 acts. The concert pic will play Oct. 13-15, Oct. 19-22 , Oct. 26-29, Oct. 31 ...See new Tweets. ConversationCompute the second-order Taylor polynomial of \(f(x,y) = \frac{xy +y^2}{1+\cos^2 x}\) at \(\mathbf a = (0,2)\). Compute the second-order Taylor polynomial of \(f(x,y,z) = xy^2e^{z^2}\) at the point \(\mathbf a = (1,1,1)\). You will also need to compute a higher order Taylor polynomial \(P_{\mathbf a, k}\) of a function at a point.Music video by Taylor Swift performing cardigan. © 2020 Taylor Swifthttp://vevo.ly/l3vy80sin(4)(x) = sin(x). Since sin(4)(x) = sin(x), this pattern will repeat. Next we need to evaluate the function and its derivatives at 0: sin(0) = 0 sin (0) = 1 sin (0) = 0 sin (0) = −1 sin(4)(0) = 0. Again, the pattern repeats. Taylor’s formula now tells us that: sin(x) = 0 + 1x + 0x2 + 4 − 3! 1 x 3 + 0x + ··· x3 5 7The link you followed may be broken, or the page may have been removed. Go back to Instagram.Taylor series expansions of hyperbolic functions, i.e., sinh, cosh, tanh, coth, sech, and csch.I looked it up and when I start differentiating $\arcsin(\sqrt x)$ a lot, I can not really see any pattern. What can I do here? real-analysis; taylor-expansion; Share. Cite. Follow edited Mar 13, 2017 at 17:46. user223391 asked Mar 13, 2017 at 17:40. Jack4t3 Jack4t3. 613 4 4 silver badges 13 13 bronze badges $\endgroup$ ...and I have a shortcut for x0 = 2 x 0 = 2 like : f(x) = 1/(1 − (x − 2)) f ( x) = 1 / ( 1 − ( x − 2)) and series for it is. ∑n∞ (x − 2)n ∑ n ∞ ( x − 2) n. but it is not true. My exercise was to find f(x) f ( x) for ∑∞ n ((x − 1)/2)n ∑ n ∞ ( ( x − 1) / 2) n. So I see here that x0 = −1 x 0 = − 1 and. immediately ...“DM me for a custom 😈💦”According to NFL Network's Ian Rapoport, Taylor and the Colts came to terms on a three-year, $42 million extension with $26.5 million in guaranteed money.Taylor had been set to become a free agent ...Free Taylor Series calculator - Find the Taylor series representation of functions step-by-stepTour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this siteExclusive Merch: https://store.taylorswift.com Follow Taylor Swift OnlineInstagram: http://www.instagram.com/taylorswiftFacebook: http://www.facebook.com/t...How do you find the second-degree Taylor polynomial #T_2(x)# for the function #f(x) = sqrt(3+x^2)# at the number x=1? Calculus Power Series Constructing a Taylor Series 1 Answer10.8k Followers, 46 Following, 27 Posts - See Instagram photos and videos from @x_taylorp2Now, we can write xx = exp(x log x) x x = exp ( x log x) and so expand xx x x in a series of a slightly different form that converges to xx x x for x ≥ 0 x ≥ 0, namely, xx ∼∑k=0∞ 1 k!(x log x)k = 1 + x log x + 1 2x2log2 x + O(x3log3 x). x x ∼ ∑ k = 0 ∞ 1 k! ( x log x) k = 1 + x log x + 1 2 x 2 log 2 x. Add a comment.Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepLet a ∈ R a ∈ R and f (x) f ( x) be and infinitely differentiable function on an interval I I containing a a . Then the one-dimensional Taylor series of f f around a a is given by. f (x) = ∞ ∑ n=0 f (n)(a) n! (x−a)n. f ( x) = ∑ n = 0 ∞ f ( n) ( a) n! ( x − a) n. Recall that, in real analysis, Taylor's theorem gives an ...TAY X_taylorp Hello Tay. First Name: Taylor Name: X_taylorp Nationality: American Place of Birth: US Hair Color: Black Eye Color: Green / BrownThe coefficient of x 1 0 in the expansion of 1 + (1 + x) +..... + (1 + x) 2 0 is. Medium. View solution > The coefficient of 1/x in the expansion of (1 + x) n (1 + 1 / x) n is. Medium. View solution > View more. CLASSES AND TRENDING CHAPTER. class 5. The Fish Tale Across the Wall Tenths and Hundredths Parts and Whole Can you see the Pattern?“Bunny strip tease on my OF 💓 https://t.co/vYaeiyzJs9”Taylor series expansions of inverse trigonometric functions, i.e., arcsin, arccos, arctan, arccot, arcsec, and arccsc.You probably found the Laurent series (*). Since. csc x = g(x) x = a0 x +a1 +a2x +a3x2 + ⋯, csc x = g ( x) x = a 0 x + a 1 + a 2 x + a 3 x 2 + ⋯, which gives the aforementioned Laurent series. (*) The Laurent series of a function at x = a x = a is a generalization of the Taylor series for functions f(x) f ( x) with a pole at x = a x = a ...Add a comment. 2. You can use the symbolic library SymPy to build your approximated function using Taylor series: from sympy import sin from sympy.abc import x # creates a generator taylor_series = sin (x).series (n=None) # takes the number of terms desired for your generator taylor_series = sum ( [next (taylor_series) for i in range (num_of ...Taylor expansion calculation of exp(x^2). Learn more about taylor series, exponential function . Dear Matlab users and experts, I am aware that the exponential function is standarized as "exp" in Matlab . However, I need to calculate the function value exp(x^2) adjusting the (N) terms in the ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Kevin Ware, who played tight end in 2003 and 2004 for Washington and San Francisco, is also charged with tampering with evidence, specifically a corpse, in the death of Taylor Pomaski. If ...Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack ExchangeConverse Chuck Taylor All Star Prism Pink 637349C. $61.99. Converse Chuck Taylor All Star Knee XHi Charcoal/Blue 136631C. $64.99. Converse Chuck Taylor All Star X Hi Black Tweed. $71.99. Converse Chuck Taylor All Star XXHi Zipper Black 1V708. $74.99. Converse Chuck Taylor All Star Elsie XHi Black 532379C.Exclusive Merch: https://store.taylorswift.com Follow Taylor Swift OnlineInstagram: http://www.instagram.com/taylorswiftFacebook: http://www.facebook.com/t...Compute the second-order Taylor polynomial of \(f(x,y) = \frac{xy +y^2}{1+\cos^2 x}\) at \(\mathbf a = (0,2)\). Compute the second-order Taylor polynomial of \(f(x,y,z) = xy^2e^{z^2}\) at the point \(\mathbf a = (1,1,1)\). You will also need to compute a higher order Taylor polynomial \(P_{\mathbf a, k}\) of a function at a point.A Taylor Series is an expansion of some function into an infinite sum of terms, where each term has a larger exponent like x, x 2, x 3, etc. Example: The Taylor Series for e x e x = 1 + x + x 2 2! + x 3 3! + x 4 4! + x 5 5! + ... 12K Followers, 52 Following, 32 Posts - See Instagram photos and videos from (@x_taylorp2)The coefficient of x 1 0 in the expansion of 1 + (1 + x) +..... + (1 + x) 2 0 is. Medium. View solution > The coefficient of 1/x in the expansion of (1 + x) n (1 + 1 / x) n is. Medium. View solution > View more. CLASSES AND TRENDING CHAPTER. class 5. The Fish Tale Across the Wall Tenths and Hundredths Parts and Whole Can you see the Pattern?taylor series 1/(1+x) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Apr 19, 2022 · Advertisement. In the lead-up to 1989’s two-year anniversary, Taylor appeared to debut an edgy, rock-inspired look complete with bleached blonde hair. While we saw a lot of this style in Taylor’s red carpet appearances, interviews, and photoshoots throughout 2016, we never got an album that embodied the new look. The following media includes potentially sensitive content. ... View. 1So when a stunning girl with breathtaking anger issues takes an interest in her, Taylor is reluctantly hopeful that she's met "the one.". This time, Taylor is going to do whatever she can to ensure that she gets her happily ever after. A story of the thorny path to true love. <~@~> <~@~> <~@~>. Chapter 1.The coefficient of x 1 0 in the expansion of 1 + (1 + x) +..... + (1 + x) 2 0 is. Medium. View solution > The coefficient of 1/x in the expansion of (1 + x) n (1 + 1 / x) n is. Medium. View solution > View more. CLASSES AND TRENDING CHAPTER. class 5. The Fish Tale Across the Wall Tenths and Hundredths Parts and Whole Can you see the Pattern?See new Tweets. ConversationA calculator for finding the expansion and form of the Taylor Series of a given function. To find the Maclaurin Series simply set your Point to zero (0). Get the free "Taylor Series Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Oct 7, 2023 · Swifties are kicking their feet over Travis Kelce's latest statement about Taylor Swift. On October 6, the 34-year-old football player said he is “even more on top of the world” than after ... The Taylor series for f(x) =√1+x f ( x) = 1 + x using the. T (x) = ∞ ∑ k=0 f(k)(a) k! (x−a)k T ( x) = ∑ k = 0 ∞ f ( k) ( a) k! ( x - a) k. is given in the table below for the first few . k k. expansion. simplified. at a= 0 a = 0. 0. f(a) f.Indianapolis Colts star Jonathan Taylor has become one of the NFL's highest-paid running backs, agreeing to a three-year, $42 million contract with the franchise on Saturday, per ESPN's Adam Schefter.Taylor Polynomials Preview. Activity 8.5 illustrates the first steps in the process of approximating complicated functions with polynomials. Using this process we can approximate trigonometric, exponential, logarithmic, and other nonpolynomial functions as closely as we like (for certain values of \(x\)) with polynomials."RT to take off my top, free link in comments 💋💦"A Taylor series is a series expansion of a function about a point. A one-dimensional Taylor series is an expansion of a real function f(x) about a point x=a is given by (1) If a=0, the expansion is known as a Maclaurin series. Taylor's theorem (actually discovered first by Gregory) states that any function satisfying certain conditions can be expressed as a Taylor series.Written & Directed by: Taylor SwiftStarring: Sadie Sink, Dylan O’Brien & Taylor SwiftRed (Taylor’s Version) available everywhere now: https://taylor.lnk.to/r...I looked it up and when I start differentiating $\arcsin(\sqrt x)$ a lot, I can not really see any pattern. What can I do here? real-analysis; taylor-expansion; Share. Cite. Follow edited Mar 13, 2017 at 17:46. user223391 asked Mar 13, 2017 at 17:40. Jack4t3 Jack4t3. 613 4 4 silver badges 13 13 bronze badges $\endgroup$ ...S + xS = 1 S = 1 1 + x To prove in the other direction, use the binomial theorem or simply compute the series about 0 manually. We use the fact that for all x ∈] − 1, 1[ , 1 1 + x = ∑ n ≥ 0( − 1)nxn. Then for all x ∈] − 1, 1[, we want to prove that : ln(1 + x) = ∑ n ≥ 0( − 1)nxn + 1 n + 1.A calculator for finding the expansion and form of the Taylor Series of a given function. To find the Maclaurin Series simply set your Point to zero (0). Get the free "Taylor Series Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha. The Taylor series of a differentiable function, f(x) about an offset term a is given by the following series . A Taylor series is convergent if the sum of infinitely many terms is a finite number ...Listen to “Karma (feat. Ice Spice)” by Taylor Swift.Buy/Download/Stream ‘Midnights (The Til Dawn Edition)’: https://taylor.lnk.to/thetildawneditionGet ticket...“@onlyfansgods https://t.co/vYaeiyzJs9 free 😈”Swift's rumored character in Deadpool 3 is speculated to be Dazzler, a mutant with the ability to transform sound into light energy. With the introduction of the multiverse in the film, there is ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...T A Y L O R 🦋 (@_x_taylorp) instagram stories and photos download. Agency: @brinic.co Backup: @x_taylorp2 linktr.ee/x_taylorpf(x) = f(a) + [f'(a)’/1!](x-a) + [f”(a)/2!](x-a) 2 + [f”'(a)/3!](x-a) 3 +…+ f (n) /n!(x-a) n. where, f(x) is the real or complex value function that is infinitely differentiable n is the number of times the function is differentiated f (n) is the n derivative of the function f(x) Taylor Series Theorem Proof. The statement for the Taylor ...“Rt if you like my lingerie | free link in comments 😈💦”The link you followed may be broken, or the page may have been removed. Go back to Instagram.“Bunny strip tease on my OF 💓 https://t.co/vYaeiyzJs9”HBO Max™ is used under license. Stream Taylor Rooks X on HBO Max. Bleacher Report's Taylor Rooks sits at the intersection of sports x culture - providing a space where star athletes and entertainers can be unapologetically themselves, while diving deep into topics not often explored in the post-game presser.Phelan M. Ebenhack/AP. ESPN host Maria Taylor has announced she is leaving the sports network just weeks after remarks by a colleague suggesting that Taylor was promoted because she is Black ...Rachel Zegler is no stranger to an Internet backlash and now the actress has spoken up in defense of Taylor Swift in light of criticism around her rumored relationship with Travis Kelce. Swift has ...For x in range [pi/8 , 7pi/8] and f(x)=cot(x) I need to plot Taylor Polynomial P0(x),P1(x) and P2(x) of f about the base point x=a=5pi/8. increment step size must be 0.01 I cannot write the code, I tried something with writing the differentation manuel but when I plot the graph P0, P2 didnt gave me anything.<style> body { -ms-overflow-style: scrollbar; overflow-y: scroll; overscroll-behavior-y: none; } .errorContainer { background-color: #FFF; color: #0F1419; max-width ...Get the free "Log(1-x) Taylor Series" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.taylor series sin x. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…<style> body { -ms-overflow-style: scrollbar; overflow-y: scroll; overscroll-behavior-y: none; } .errorContainer { background-color: #FFF; color: #0F1419; max-width ...In most places I looked for the Taylor expansion, I found the 2nd equation (e.g. Wikipedia, Brilliant, other math websites). The 1st equation was more difficult to find, except in all the proofs of this specific problem I was looking at (Harris Corner Detector).With all the Easter eggs thrown on the skit, fans are positive a Dua Lipa x Taylor Swift collaboration is happening. "SNL had Dua Lipa portray a character named Marjorie in 1944 and now just labeled the show teacher as an illicit affair. "Taylor stans is writing this," one user speculated. Some fans believe Dua Lipa's post was a signal ...View Lawrence X.'s full profile. A C-suite financial executive, advisor, and board member with experience in highly regulated industries including casino gaming, bio-technology, healthcare and ...FORTNITE X TAYLOR SWIFT🐍🐍🐍 would be amazing if she was part of the icon series. Made her outfit based on one of her reputation tour outfits. This thread is archived New comments cannot be posted and votes cannot be cast Related Topics Taylor Swift ...Taylor Series Expansions of Trigonometric Functions. The and are Bernoulli and Euler Numbers, respectively.Anya Taylor-Joy has been living la dolce vita. The Emmy winner got married to musician Malcolm McRae in Venice, Italy this week in an unconventional embroidered beige …S.J. Garrett, in Introduction to Actuarial and Financial Mathematical Methods, 2015 5.4.1 Concepts. A very useful application of ideas developed in this chapter is the Taylor series of a function, often alternatively known as the Taylor expansion of a function. As we shall see, the Taylor series of a function is a polynomial representation of the function, with coefficients obtained from the ...Free Taylor/Maclaurin Series calculator - Find the Taylor/Maclaurin series representation of functions step-by-stepSinger-songwriter Taylor Swift is currently enjoying her time off from touring and caught up on her football teams. On Sunday, the popstar went to Kansas City Chiefs Game with actress Sophie ...Tay (@heyyyytayyyyy) on TikTok | 123.2K Likes. 28.1K Followers. Yes I have one x_taylorp.Watch the latest video from Tay (@heyyyytayyyyy).12K Followers, 52 Following, 32 Posts - See Instagram photos and videos from (@x_taylorp2)Free Taylor Series calculator - Find the Taylor series representation of functions step-by-step.May 15, 2023 · “@onlyfansgods https://t.co/vYaeiyzJs9 free 😈” Francis Xavier Taylor (born 1948) was the Under Secretary of Homeland Security for Intelligence and Analysis at the U.S. Department of Homeland Security (DHS), nominated by President Obama in 2014. In that role, he provided the Secretary, DHS senior leadership, the DHS components, and state, local, tribal and private sector partners with homeland security intelligence and information they need ...Her daughters, Scarlett and Marigold, make forts with a million pillows. Her husband Alex plays classical music "to the point where it's oppressive," Heather laughs, and she herself loves Scottish podcasts and needlepointing. Take a peek inside this bustling family home, with photos by Nicki Sebastian …. LIVING ROOM:The same problem happens if you try to expand $\sqrt x$ as a Taylor series. The vertical slope kills you, because polynomials can't do that. The solution is what Alpha does-divide out the "singular part", which in your case is $ \sqrt x.\ \ \frac {\arccos (1-x)}{\sqrt x}$ is nicely behaved at the origin and can give you a Taylor series.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Taylor Series of e^x. The program calculates e^x by adding terms of the series and stopping when the absolute value of the term that was added last is smaller than 0.0001. Use a while-end loop, but limit the number of passes to 30. If in the 30th pass the value of the term that is added is not smaller than 0.0001, the program stops and displays ...A handsome shrub with leathery, dark green foliage that backs a profusion of exquisite light pink, large, semi-double blooms. A prized plant for milder regions. Mid to late season bloomer. Excellent on its own or massed into a flowering hedge. Evergreen. Water when top 3 inches of soil is dry.Reposted from @x_taylorp my season ——————————— Agency: @brinic.co 👉🏼Follow all my socials in my bio. 👈🏼 IG Pages: @x_taylorp @x_taylorp2. Picnob (formerly Pixwox) does not belong to Instagram, does not host or save any Instagram content, all rights belong to Instagram users. ...See new Tweets. ConversationReposted from @x_taylorp my season ——————————— Agency: @brinic.co 👉🏼Follow all my socials in my bio. 👈🏼 IG Pages: @x_taylorp @x_taylorp2. Picnob (formerly Pixwox) …We would like to show you a description here but the site won't allow us.Free Taylor/Maclaurin Series calculator - Find the Taylor/Maclaurin series representation of functions step-by-step.Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might haveApplying Taylor expansion in Eq. (16), S 1s,1s is expanded at expansion center a 0 and b 0 as shown in the Appendix.The degree of approximation of S 1s,1s expressed in Taylor-series can be controlled by sliding expansion center, {a 0, b 0}, appropriately.It is possible to define an approximate Hamiltonian using such molecular integrals of controlled precision.13 August 2021 at 12:06 am · 2-min read. A TikTok famous mum with 1.8M followers has sparked major confusion about her 'real age', after sharing a video of herself dancing with her 'twin daughters'. Mum of two Taylor Paul regularly posts videos about her life and her family on the video platform, but the recent clip where she 'revealed her age ...Taylor Swift's Eras Tour Speed Round, Part 1 - The New York Times. Popcast. September 29, 2023 • 1:02:11. Zach Bryan Begins Building His Village. September 27, 2023 • 1:06:49. Popcast ...3 Answers. To solve a little more generally we find the Taylor series of cos(x2) around x = a by substituting y = x − a, i.e., x = y + a, then. Now to extract the coefficient of ym, denoted [ym]cos(x2), we need to collect terms such that yk = ym from the inner summation. This clearly occurs if and only if k = m, so.The NFL began playing into the buzz surrounding Swift at Kelce's games by changing its official X (Twitter) bio to "NFL (Taylor's Version)" and its Instagram bio read, "Chiefs are 2-0 as Swifties."4,290 likes, 112 comments - x_taylorp on February 2, 2023: "can't talk rn ——————————— Agency: @brinic.co 👉🏼Follow all my soci..." Something went wrong. There's an issue and the page could not be loaded. Reload page ...Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...Now comes the sexism. Actress Rachel Zegler called out a Barstool podcast host earlier this week who said he wanted to see a sex tape featuring the rumored couple. "If Taylor Swift is going to be ...would have been better w voddie🙏🏽 ️. 3393. i look obese😍Mr. Taylor is Pres and CEO, FXTAYLOR Associates. He retired from the USG on 1/20/17 as Undersecretary for Intel and Analysis at DHS. From Mar 2005 until Nov 2013, he was Vice President and Chief ...Tay 🖤 (@heyyyytayyyyy) on TikTok | 122.9K Likes. 28.1K Followers. Yes I have one 🥵 x_taylorp.Watch the latest video from Tay 🖤 (@heyyyytayyyyy).Version 1: for a xed point x 2I and a xed N 2N. 3 There exists c between x and x 0 so that R N(x) def= f(x) P N(x) theorem= f (N+1)(c) (N + 1)! (x x 0)(N+1): (5) So either x c x 0 or x 0 c x. So we do not know exactly what c is but atleast we know that c is between x and x 0 and so c 2I. Remark: This is a Big Theorem by Taylor. See the book for ...PainterGuy. Thank you! The log function in the example is the natural log, so log (e) = 1. I believe that you are referring to Example 6 shown below. You can see that the Taylor series in Example 6 doesn't have "x" and "x²" in denominator for the first two terms. But the Taylor series found by me has "x" and "x²" in denominator as shown below.A.X. Taylor. Draft #1 of Anda's Peak. May 23, 2021 ~ axtaylor ~ Leave a comment. So I guess I went into a writing frenzy over the last few days as I finished the first draft of my western horror, Anda's Peak! Since Thursday I wrote about 16,000 words. The first draft capped out at around 41,000 words, so it isn't an immensely long book.Get the free "Log(1-x) Taylor Series" widget for your website, blog, Wordpress, Blogger, or iGoogle. 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