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Port-Vendres 2017: The Top 20 Port-Vendres Vacation Home Rentals - Airbnb, Occitanie, France
Lovely house, indeed. Very nice house in a sunny haven of peace. Risk of not wanting to leave.
What a charming house! A very happy stay in this sunny setting! Nini thank you for his attentive and warm, Port-Vendres is very pleasant in the off season ...
Nini and her neighbor Fabienne who took care of check-in and check-out, were friendly, responsive, and actively helpful. The town was a delight and the house itself, while rustic, was a fun chance to experience life in a traditional fisherman's home. Nini's recommendations for restaurants and activities were perfect.
Beautiful place, very friendly Catalan, dry and warm climate, a major problem for people of our age, 30 steps to take to get there (especially with suitcases. Not recommended for people with respiratory problems. Mrs. Pons is a very nice person, we are happy to "know." But the rental price is too high for a hut cobbled together and poorly finished.
NICE AND WELCOMING FRAMEWORK. GOOD TIME BEING PART WE COULD TAKE ADVANTAGE OF CREEKS LOCATED NEAR THE HOUSE. WE GLADLY REVIENDRONS CHEZ SYLVIE FOR RELAXATION AND WE FARNIENTE ...
Short stay (one night) during the harvest festival of Banyuls. The place is very nice and the view of the charming port. The place is ideal to be able to visit the coast around Port Vendres.
Beautiful place. They have already been a few months but my pupils still remember and think back only. Ideal for couples, for children, for Lonely ... Central, comfortable, quiet ... Sylvie funny and generous. Merci. Back!
A nice house in the hills of the port, our only regret was not being able to stay a little longer. Another plus: the perfect terrace during breakfast!
Sylvie's place place was gorgeous. We rented it with 2 friends for 3 nights at the last minute. The view is amazing, the place is small but really conveniant. Everything you need is already there. We used the grill every day to cook. You can buy fresh fish on the port each morning. The town is a few minute drive, a lot of restaurant, groceries store... Easy access to beaches. Near Collioure and Spain border. Sylvie made a book with all the things to do around it's amazing. I recommend it and I'll be back.
Suzy2014-10-09T00:00:00Z
This authentic fisherman's cottage has suited our needs. Contact Sylvie before booking was simple and friendly. Allain thank you for their hospitality. At the house itself: faithful pictures, beautiful terrace with a view of PortVendre. Everything needed at your disposal, we have lacked nothing. The place is quiet and peaceful (ample parking right next door). We would have liked extended our stay! We highly recommend this place and would not hesitate to repeat the experience for our next weekend :-). Thank you
nice room with a beautiful terrace. friendly welcome from our host. Area on the heights of Port Vendres which allows a nice view (all the same with a bar in front building), but we saw many Collioure. We recommend this room.
The room is bright, clean and spacious, nicely decorated, with a beautiful terrace overlooking the sea and Collioure. The bathrooms are in perfect condition. Claudine is available while remaining unobtrusive, and provides useful information about the region. Three small coves perfect for swimming is 10 minutes walk away, and relatively uncrowded. The area abounds with various points of interest. ideal !!!
I had a great time at Claudine. She was very friendly and personable and I am very grateful for everything she did to make my stay at home and in nice area. The room is quiet and spacious with a large comfortable bed, the bathroom is large and modern. Claudine cutlery sets available to tenants and there is a kettle for preparing coffee. From the large terrace in front of the two cottages has a beautiful view of the sea and Collioure. The terrace is ideal for watching the beautiful sunsets and see the lights on the coast at night. In short, it is recommended!
very pleasant stay with a warm welcome since Claudine offered a tasting of Banyuls while she suggested we discovered ideas. The breakfast would be perfect if it were possible to keep milk and butter cool but the kettle is nice for tea and coffee provided. I hope Claudine can finish the few jobs that are waiting to enjoy the terrace and bathroom. thank you again to our host for its restaurant advice and availability.
Our stay at Claudine was great. Very friendly and accomodating host, the house is well placed and has a stunning view of the sea. Clean room, very comfortable and decorated with the artist Claudine key, these paintings are beautiful!
Good location close to Port-vendres and easy access on foot to Collioure. beautiful view of the bay!
Claudine was a very friendly host. The bedroom had a balcony with views of the sea. It was very well placed, only a 20 minute walk to collioure and 5 minutes to port vendres. All as advertised. Would recommend :)
Myfanwy2016-08-02T00:00:00Z
6imp555 - Residence Les Impériales - About 800m from the beach and 1 km from the center. In a residence with swimming pool very nice villa with sea view: living room (sofa bed) with american kitchen, large terrace. 1st Floor: 1 bedroom (1bed 160x200) with private bathroom with shower and toilet, terrace, 1 bedroom with private bathroom/toilet. Private parking place. (URL HIDDEN)
My home is near the sea and offers an amazing view. Restaurants and many activities suitable for families are close. Enjoy my accommodation by the tranquility offered by the residential area. This apartment is perfect for couples and families with children.
This spacious property is ideally located 10 minutes on foot from Collioure and 30 minutes drive from Spain, not to mention the many beaches and coves as offers the Côte Vermeille. For lovers of nature and enjoy hiking from the house of the wine trail and the castles. But also the sea, fishing, scuba diving, coastal path or just lazing around. Good holidays!
The house is very nice and matches the description. Sabine was very well received us. The sea view is gorgeous (even if we had bcp wind ... and we were often earlier on another terrace). We will return with pleasure !! Thank you to Frederick pout plans of hiking
If you dream of a place to rest ... with a view breathtaking and equipped house (and super class!) Of everything you need for relaxation, it's here! 10 minutes walk from the famous beach paulilles, however, I recommend walking a little more, 20 minutes, to reach almost deserted cove in September that has nothing to envy the famous beaches of PO. Chez Brigitte, you can put the suitcases and car and do everything on foot (there is even a Resto bottom) short we'll definitely be back, two, or with friends ... But keep the secret place to be on to be able to return to our sandstone!
Stunning panoramic views of the coastline and mountains. The house was very well heated (February). Quite walks to do from home and back to nature with a house in complete autonomy of energy. Thank you to Brigitte for her home.
Port Vendres / Collioure Nature, quiet, charming house 25 meters from the scrub at the bottom of the ramp leading to the area (which may not be suitable for disabled) you are in the heart of the city, 1 km from Collioure 500 along the coast. The House; nice amenities, comfort, internet, big screen TV, hi fi, ventilos, convertible heating, dishwasher, washing machine, etc. 70 square meters, ideal for 2 people, 2 large beds in one room the other in the living room.
We had a very good stay in this lovely apartment, very quiet but 5 minutes from downtown and located in a charming impasse. It takes a bit of breath to go up because there are large stairs but the view from the terrace is worth the effort. There is everything you need in the apartment to cook and live. There is air con which is great because we had a beautiful but very hot! The upstairs room, however, remains hot, but the sofa bed in the lounge is cool. The apartment is ideal for 2 or 3 people. We were very well received by Romaine who loves to talk and explain the apartment and the amenities around. The village is charming and perfect for a week away from the crowds of Collioure.
Romy's house is a paradise, a home that is both warm and atypical, where everything is well thought out and very convenient for a couple. The house is fully equipped, for example, everything is available for those who like to cook during the holidays. The terrace is nice, with a clear view without visàvis. The beaches are a 5-minute walk, the center of Port Vendres 2 minutes. Romy has very kindly welcomed us, given all the explanations and was available if needed. Again thank you to her for sharing this so lovely place.
Maison sur plusieurs niveaux, avec terrasse donnant sur le port, confortable accès direct sur le quai principal, très bien équipée, propreté assurée. La maison dispose d'un garage privé à l'arrière et d'un accès direct à celle ci. 3 grandes chambres dont une avec un téléviseur. Ménage de fin de séjour ainsi que le linge de maison peut être demandé moyennant supplément.
Maison sur 3 faces dont une proche de la Mairie donnant sur sur le quai Jules Pams, commerces sur le quai, boulangerie, traiteur, épicerie, banques, coiffeur, pharmacies, caves à vin, médecins, restaurants,.... Collioure accessible tranquillement à pied par une magnifique ballade le long du littoral en 20 Minutes
Second stay with Francoise. Longer this time to 3 couples. The house is ideal, well equipped, radiators have been added for the winter and the wood was delivered to the chimney. Everything was perfect once again. We strongly recommend that address.
Very pleasant stay at Port Vendres. The house is beautiful, very well designed, everything needed for a good time and prepare good meals and a good night; A magnificent view of the harbor. The nearby popular shops. Bikes very popular provision for good walks in the area. Beautiful location, near the beautiful villages, beaches, Spain.
We had a pleasant stay at Port Vendres. spacious accommodation, clean, with a view of the harbor more pleasant. To advice.
We spent four days relaxing in this beautiful house in Port Vendres. Very well equipped, bright, comfortable, the place is ideal. We will come back very quickly.

value: Airbnb, Inc. (pronounced  AIR-bee-ehn-bee and stylized as airbnb) is an American company that operates an online marketplace for lodging, primarily homestays for vacation rentals, and tourism activities.


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Tiny Pants Kids & Industry Kids Present “Super Fun Saturday” !!!
Tiny Pants Kids & Industry Kids Present “Super Fun Saturday” A fun-filled, family oriented event for children in New York City, that combines components of learning, entrepreneurship and the power of decision-making via custom work. This one day, ticketed event is a call to action for parents and children to experience a three part workshop that will expose youth to sustainable living through jewelry making, custom art design, candle making, gaming and physical activities. This event will be a life learning experience for parents who will indulge in pampering, health and nutrition lessons. Super Fun Saturday, is a must-see and must-experience fun day for parents and children combined.
www.superfunsaturday.eventbrite.com
Jadas Winter Wonderland Adventures
Living in New York City as a Parent some may find it a little hard to keep their children entertained outside of school hours or even on the weekend. The big apple is full of surprises…. NYC is known for its vibrant fashion and exciting adventures. It is the perfect place for your mini stylista to look fashionable and be entertained at the same time. Tiny Pants very own Ms. Jada Does the job oh so well!!!! Check out a few places Jada will be heading this winter…..
Toys r Us Times Square: Located in the Heart of New York City. Now you may be thinking “toys r us really”. Sounds simple! This toys r us is like no other witness it has 3 floors of excitement each offering something fun and different, They have a giant Ferris wheel for under 10 bucks , a huge barbie house that stocks barbies from the floor to the ceiling, for our collectors out there. An ice cream store, and live toy demonstration and tons of toys and characters to play with.
The ToysRus is located 1514 Broadway, New York, NY 10036, (646) 366-8800, http://www.toysrusinc.com/about-us/times-square)
American Girl Place: This is a place for the ultimate girl this place located right off Rockefeller Center, is stocked from every angle with dolls, books and clothes for the doll and child. They offer everything from dolls from the 1940s to a d oll designed to look like the little princess shopping for one, and little baby dolls, Hair salon and ear piercing station all for the doll located within the 3 floor establishment. This place is all for experience they also offer dining options if you and your family are interested. Afternoon tea, brunch, lunch and dinner, reservations are recommended. It gets really crazy with all the tiny shoppers and their parents waiting to be seated. If your child doesn’t have a doll don’t fret you still can go dine her you will provided with your American girl doll of choice to join you guys on your dining experience, with a special chair and food for the doll herself. If you’re looking for an unforgettable place and experience for your child this is the way to go.
The American girl place is located 609 5th Ave, New York, NY 10017 (212) 371-2220, http://www.americangirl.com )
The Children’s Museum: A great place to have fun all the while educating your tiny one. The Children’s Museum of Manhattan is located on the upper west side. With the museums Eat Sleep Play: Building health e veryday motto. It’s a great way to go about teaching the parents and their little ones the benefits of leading a healthy lifestyle. Although this may be a crazy place filled with excited tiny people and their parents, this place has the perks of a school with all the craziness of a gymnasium. With Nickelodeon- sponsored sections such as the Adventures with Dora the Explorer and Her Cousin Diego. Letting children have fun feeding the baby animals, Learning a foreign language (Spanish) and even learning to create a few Latin dishes for a nice fiesta.
The Children’s Museum of Manhattan is located at 212 West 83rd Street between Broadway and Amsterdam Ave on the Upper West Side (212-721-1223, cmom.org).
Taste Buds Kitchen: A place where kids to make their way around the kitchen. Located on the west side of Manhattan, is the taste buds kitchen where they offer unique kitchen experiences for children and their parents. Teaching children a variety of different cupcakes recipes from frog faced green cupcakes to spaghetti and meatball cupcakes all while working in groups of ten. Classes are $45 for a single session and they special multiple class prices for anyone interested in really becoming a pro in the kitchen. Moms and Dads if you can use a few extra tips in the kitchen Taste buds kitchen also host special adult classes, corporate events and even parties. All available for kids and adults so it can be a family treat.
The Taste Buds Kitchen is located at 109 West 27th St. 10FL (212-242-2248, http://www.tastebudskitchen.com )
Join in on the fun and take your mini me on a winter wonderland excursion and share his/her experience…
We Love our Tiny Pants Customers!
Starting out as a new brand, there are some rules that apply for International shipping… We at Tiny Pants Kids love our customers so much that we go the extra mile. A customer by the name of Chrystal was very interested in purchasing our popular Mango peacoat for her little fashionista. It was a must have for her 1st day of school!
She simply sent an email inquiring about shipping to Canada because our website does not have the option… It was simple and easy. We responded with our customer service # for her to place a phone order. You can do the same 800-918-7670 ext.1. She was so happy when she received her Tiny Pants peacoat- See her email below:
“We received the pea coat and I love it! We’ve received numerous compliments already! It’s such a rich colour, and I love it for fall!
Attached is a couple of pics of my Alexandra in it!”
Rain, Rain…Come Again Today!
Jada modeling her Tiny Pants Kids raincoat.
We had a summer rain shower a few weeks ago; and to Jada’s delight, she was able to wear our new raincoat. I posted this photo on my Facebook page and many of you asked when and where you could buy it. Well, I’m happy to say the shipment just came in and it’s available NOW! Click here to purchase. It’s over 90 degrees today in New York, and I say bring on the rain!
Talk again soon : )
What’s Your Mini Stylista’s Favorite Accessory?
Safe Nail Polish for Your Mini Me
Jada's cute finger nails showing her personality!
As mommies, one thing we have in common (if you have a little girl) is that she loves to get her nails and feet done. My daughter Jada is 3 years old and loves to get her nails and toes done just like her mommy. She likes bright colored nail polish…especially blue since that is her favorite color. Some people tell me she is too young to get her feet polished, but I feel that when she is wearing sandals, she should be able to express her style through colors on her toes and fingers just like me.
My only issue with nail polish was finding a safe kid-friendly polish. I did some research and found some non-toxic nail polish especially made just for kids called Hopscotch Kids.
Most nail polishes contain harmful ingredients that are no good for our little ones. Ingredients such as: formaldehyde, toluene, phthalates, biphenyl A, ethyl acetate and acetone. I wanted to find a safer option for my daughter that still allowed her to wear nail polish. Hopscotch Kids is a water-based nail polish. There are no toxic chemicals, which makes me comfortable.
Hopscotch Kids WaterColors has great color choices and are available in a wide array of fun, vibrant colors. The colors have fun names like “Bubble Gum Bubble Gum in a Dish,” “Ice Cream Soda Pop,” and “Heads Up Seven Up” – just to name a few. The nail polish will cost you $12.99 each, but it is worth it for your daughter’s safety!
They also have cute gift sets that include safe polish remover. There is no need for a base or top coat with Hopscotch Kids because it’s salon quality (meaning it won’t chip easily and it shines) making it an even better value. In addition, (to top it off) if you are concerned about the earth, the product is 100 percent biodegradable. Hopscotch Kids WaterColors is a great safe nail polish that still allows your daughter to express herself while staying safe, and as a parent, safety is #1!
IT’S GETTIN’ HOT IN HERE SO…PUT ON TINY PANTS
Summer is officially here! We thought there is no better time than now to write our first post and let our TinyPants fans and family know what’s going on. Hmmm… what is going on?! Pretty much any and everything! My partner Lindsay and I hit the ground running with our debut collection last season and we haven’t come up for air. We went to Las Vegas Kidshow in February and we hit the children’s ENK show in NYC in March…and now summer is here and our first collection for Fall 2010 is hitting the stores and it’s quite amazing! Check out the most popular styles ordered below…
While deliveries are going out soon for the fall collection, in the words of Jay-Z we are already “On to the next one.” We’re working hard on bringing a spectacular Spring 2011 follow up, and if I say so myself, we won’t be falling into any sophomore slump. The spring collection is hottt!!! We are so excited that we are busting at the seams – literally.
Hope you guys have a great kick off to summer and check back again soon as Lindsay and I will be blogging about the business, the line, celebs and their babies and anything else that tickles our fancy!
Welcome to the Tiny Pants Blog!

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A Cabinet of Wonders 0.0 stars 0.0 stars Write a review Write a review ratings Q&A About this item Paperback, Amazon Pub, 2012, ISBN13 9781612183053, ISBN10 1612183050 Read more… $10.99 $10.99 Was: $11.73 Save $0.74 Out of stock Sold & Shipped by Walmart Shipping not available Pickup not available Pickup options Loading options... Sold & Shipped by Walmart Qty: 1 2 3 4 5 6 7 8 9 10 11 12 Close Get In-Stock Alert Add to List Shipping Not available FREE pickup Not available Shipping not available Close Shipping This item is not available for shipping. Pickup not available Close Pickup This item is not available for pickup or at any of the Walmarts within 50 miles of your location. Add to List Shipping not available Pickup not available Pickup options About this item Customer reviews Item recommendations Policies Back to top About this item Important Made in USA Origin Disclaimer: For certain items sold by Walmart on Walmart.com, the displayed country of origin
recommended that you rely on product packaging or manufacturer information. When the curtains are drawn back on the cabinet of wonders, every individual you meet is an original, the indelible mark of their uniqueness shaped in their flesh. Molly and Faye are spirited teenagers and conjoined twins. Saffron is the Wolf Girl, her fe Specifications Number of Pages: 328 Original Languages: English Author: Dodd, Renee Publisher: Amazonencore ISBN-13: 9781612183053 Assembled Product Dimensions (L x W x H): 5.40 x 0.90 x 8.20 Inches ISBN-10: 1612183050 Show Explore related products Top 200 Books Chapter Books Religion - General Media Tie-ins Emotions & Feelings Art & Music Customer Reviews Write a review Be the first to review this item. Share your rating and review so that other customers can decide if this is the right item for them.
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text:
Mostly Markers - Cards: Butterfly with Vellum on Aqua
I've been making a variety of sympathy cards lately - fortunately it's not because I need them! But I always like to have some available, and also, our senior center asked if I would make some for them to use.
Though it's a sad time whenever I need to send a sympathy card, I do enjoy the process of creating designs with a calm and peaceful feeling. Today's card has a nice mix of patterns and textures in monochromatic aqua and muted teal colors.
Card stock is Paper Source pool (aqua) and Papertrey Ink (PTI) ocean tides (muted teal) and stamper's select vellum.
Patterned paper is a bitty dot print from PTI ocean tides pattern pack (tone-on-tone prints - retired) and an aqua grid print from PTI pretty pastels 8 x 8" pad (retired).
Dies are from PTI life is beautiful.
The flourish is from PTI holiday photo finishers (retired) - a kind gift from Vicki (thank you!) - and the sentiment "with sympathy" is from PTI keep it simple: sympathy, both stamped with PTI ocean tides ink cube.

value: Blogger is an American online content management system (CMS) which enables multi-user blogs with time-stamped entries. Pyra Labs developed it before being acquired by Google in 2003.


text:
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text:
The MixTape Unites: DJ Duck One (DJ Kedu) Love Break (2009)
No tracklist but there's plenty of jazzy boom bap Hip Hop and
RnB with some Jazz tunes towards the end of the mix.
Posted by The Dynamic Hamza 21® at 11:29
Labels: DJ Kedu, Hip Hop


text:
Recently Active 'complex-analysis' Questions - Page 3 - Mathematics Stack Exchange
How do i write the analytic function $f(z)$ in terms of $z$?
I have an entire function, consider the function :
$f(z)= (3x^2 + 2x - 3y^2 - 1) + i(6xy + 2y)$
I want to write $f(z)$ in terms of $z$.
complex-analysis answered May 26 at 9:40
Laurent series of $\frac{e^z}{z^2+1}$
I cant figure out the laurent series of the following function.
Let $f(z)= \frac{e^z}{z^2+1} $ and $|z|\gt 1$
$$\frac{1}{z^2+1}=\sum_{n=0}^{\infty}(-1)^nz^{-2n-2}$$
$$e^z = ...
sequences-and-series complex-analysis power-series laurent-series cauchy-product answered May 26 at 9:11
22.5k21971
Namely, let $A: H \rightarrow H$ be a ...
linear-algebra complex-analysis functional-analysis computability constructive-mathematics modified May 26 at 7:27
Laurent Series, How it is done
Suppose that a series $$\sum_{n=-\infty}^{\infty}x[n]z^{-n}$$ converges to analytic function $X(z)$ in some annulus $R_1<|z|<R_2$. That sum $X(z)$ is called the z-transform of $x[n]$ $(n=0,\mp ...
sequences-and-series complex-analysis taylor-expansion laurent-series asked May 26 at 6:06
Challanging problems on [Grade-12]Complex Number [on hold]
recently we are introduced to interesting world of complex number but except for 3-5 problems in the my books,all the problems are just plug-and chug,expression manipulation,etc.. which bores me out
complex-analysis complex-numbers contest-math complex-geometry answered May 26 at 5:18
sequences-and-series complex-analysis taylor-expansion entire-functions answered May 26 at 5:02
51.8k42557
Power series representation with Gamma function
This is taken from Stein and Shakarchi's Complex Analysis (Chapter 6, Exercise 4):
Prove that if we take
$$f(z) = \frac{1}{(1-z)^\alpha}$$
for $|z|<1$ (defined in terms of the principal branch ...
complex-analysis power-series gamma-function asked May 26 at 0:45
complex-analysis asymptotics laplace-transform asked May 25 at 23:00
Contour integration with logarithms
I'm having trouble calculating the below integral to get the right answer:
$$\frac{1}{2\pi i}\int_\gamma \frac{3}{z-2}\; dz$$ where $\gamma$ is parametrised by $\gamma(t)=3e^{it}, t\in [0,2\pi]$. So ...
complex-analysis contour-integration complex-integration answered May 25 at 22:54
Is this a legitimate way to compute a contour integral?
I wish to calculate $$\int_{\Gamma}\cos(z)\sin(z)~\text{d}z$$ where $\Gamma$ is the line segment given by $\gamma(t)=\pi t+(1-t)i$ for $0\leq t \leq 1$.
We have that $$\int ...
complex-analysis answered May 25 at 20:43
$|p(z)|=1$ contains no circles [duplicate]
Help with the following problem would be appreciated:
Let $p(z)$ be a polynomial over $\mathbb{C}$ with at least two distinct roots. Prove that no connected component of the set $\{z \in \mathbb{C} : ...
complex-analysis asked May 25 at 19:40
Theorem (Arzela-Ascoli): Let $K$ be a compact separable metric space, $E$ a finite-dimensional Banach space and $(f_j)_{j\in\mathbb{N}}\subseteq C(K,E)$ ...
real-analysis general-topology complex-analysis asked May 25 at 19:31
The question is this: Does there exist an entire function $f$ such that $\lim_{z\rightarrow \infty}f(z)=0$ and $f(0)=1$.
I immediately would point to $f(z)=e^{-z}$. It is entire and satisfies the ...
complex-analysis exponential-function modified May 25 at 17:48
How to show $f(z)=x^2+y^2+i2xy$ is differentiable at $z_0=x_0+i0$?
How to show $f(z)=x^2+y^2+i2xy$ is differentiable at $z=x_0+i0$? Here is what I have done we know by the Cauchy Riemann (its it very easy to verify) that these can only hold for $z_0=x_0+i0$ that is ...
complex-analysis modified May 25 at 16:45
Holomorphic function with $f(z)^2=z$
Is there an holomorphic function $f:B_1(0)\setminus\{0\}\rightarrow\mathbb{C}$ with $f(z)^2=z$?
complex-analysis holomorphic-functions modified May 25 at 15:02
Radius of convergence of the series $\sum\limits_{-\infty}^{\infty}(2^{-n}+4^{-n}) z^n$
I'm trying to find for what values of $z\in\mathbb{C}$ the series $$\sum_{n=-\infty}^{\infty}(2^{-n}+4^{-n})z^n$$ converges. My main methods are the nth root test and the ratio test. I believe it can ...
sequences-and-series complex-analysis laurent-series modified May 25 at 14:43
Evaluating an integral using Cauchy Integral Formula and a further application
$i)$ Evaluate $$\int_{\gamma}\frac{e^{2z}}{z}dz$$
Where $\gamma=${$z\in \Bbb{C}: \lvert z\rvert$=1}
$ii)$ Hence find $$\int_{0}^{2\pi}{e^{2\cos(t)}}.\cos(2\sin(t) dt$$
$i)$ ...
complex-analysis answered May 25 at 14:00
When finding the Laurent series of $$f(z):=\frac{1}{z(z-1)(z-2)}$$ valid in the region $1<|z-2|<2$ for example do we just use partial fractions to break $f(z)$ up and the just find the Laurent ...
sequences-and-series complex-analysis laurent-series asked May 25 at 13:12
This problem is from complex analysis.
Set $$f(z)=\sum_{n=0}^{\infty}a_nz^n$$ with convergence radius of 1, and $$\lim_{n \to \infty}a_n=0$$ Prove that if $z_0 \in \partial B(0,1)$ is not a singular ...
complex-analysis analytic-continuation singularity answered May 25 at 12:47
I'm reading Conway's complex analysis book and on page 118 he write the following inequality:
complex-analysis answered May 25 at 10:30
Here is Theorem 3.39 in the book Principles of Mathematical Analysis by Walter Rudin, third edition: Given the power seires $\sum c_n z^n$, put $$\alpha = \lim_{n\to\infty}\sup\sqrt[n]{\vert c_n ...
real-analysis sequences-and-series complex-analysis analysis power-series modified May 25 at 8:37
Why $|\alpha|\lt 1$ and $|\beta| \gt 1$?
I'm reading Conway's complex analysis book and on page 117 he writes:
I didn't understand why $|\alpha|\lt 1$ and $|\beta| \gt 1$. I could only prove $\beta\lt -1$.
complex-analysis inequality answered May 25 at 8:18
Prove $f(z_0)I(\gamma;z_0)=\frac {g'(z_0)}{2\pi i}\int_{\gamma} \frac {f(z)}{g(z)-g(z_0)}dz. $
Let $f(z)$ and $g(z)$ be analytic in a region A and let $g'(z) \neq 0$ for all $z \in A$. Let g(z) be one to one and let $\gamma$ be a closed curve in A. Show that $$ f(z_0)I(\gamma;z_0)=\frac ...
complex-analysis complex-numbers modified May 25 at 7:47
12.2k21628
Recommendations for tutorials specifically devoted to real integration using contour integral techniques.
Complex analysis, and in particular contour integrals and the residue theory have proved a very powerful tool in computing a large class of real function integrals which would be quite troublesome to ...
complex-analysis soft-question contour-integration book-recommendation complex-integration answered May 25 at 7:34
disk of convergence for complex-valued series
Find the disk of convergence of $\displaystyle \sum_{k=0}^{\infty} \frac{(z+2)^k}{(k+2)^3 4^{k+1}}$, where $z \in \mathbb{C}$.
I tried applying the ratio test: $\lim_{k \to \infty} \left| ...
complex-analysis answered May 25 at 7:12
17.6k1526
Can $\int_0^1 \frac{1}{x} e^{-x} dx$ be integrated?
I have an integral with a singularity at $x = 0$.
$$\int_0^1 \frac{1}{x} e^{-x} dx$$
It's not a removable singularity so is it possible to perform the integration? For example could some complex ...
calculus integration complex-analysis numerical-methods singularity modified May 25 at 6:36
sequences-and-series complex-analysis integration summation contour-integration answered May 25 at 5:34
Series expansion of complex exponential
Prove that $e^z= \displaystyle \sum_{k=0}^{\infty} \frac{z^k}{k}$. I took the taylor series $f(z)=\displaystyle \sum_k \frac{f^{(k)}(z_0)}{k!}(z-z_0)^k$ centered at $z_0=0$ and obtained $$e^z= ...
complex-analysis asked May 25 at 3:30
Integral of $e^{\cos t}$
I’d like help with computing the following integral:
$$\int_0^\pi e^{\cos t}\,dt.$$
(This is a problem in complex analysis [supposedly].)
integration complex-analysis analysis definite-integrals modified May 25 at 3:03
2,3471213
How to find the Laurent series of $\frac{1}{z^4(1-z)^2}$ for |z|>1?
A hint is given that $$\frac{1}{(1-\frac{1}{z})^2} = \frac{z^2}{(1-z)^2}$$
and we know that $$\frac{1}{1-w} = \sum_{n=0}^{\infty} w^n$$ for $|w|<1$.
sequences-and-series complex-analysis laurent-series modified May 25 at 2:47
If the real and imaginary parts of a complex series converge absolutely, then the complex series converges absolutely.
Is this true? If we write our complex series $\sum_{k=0}^{\infty} b_k = ...
complex-analysis modified May 25 at 1:55
Convergence of $\sum_{k \geq 1} e^{-tk} \cos kz$
I would like to find the convergence of the series $\sum_{k \geq 1} e^{-tk} \cos kz$. Clearly, this series converge in using the comparison test or the integral. How could I get an explicit function ...
sequences-and-series complex-analysis trigonometry convergence exponential-function modified May 25 at 0:22
Littlewood polynomial and Gutzmer-Parseval inequality
Consider the set of Littlewood polynomial for $n \geq 1$, ie
$$ L_n = \left \{ a_0 + a_1 z + \cdots + a_n z^n: \quad a_j = \pm 1 \right \} $$
By Gutzmer-Parseval inequality, for some $f \in L_n$, we ...
complex-analysis modified May 24 at 23:53
How to calculate this integral using Residues?
$$\int_{-\infty}^{\infty}\frac{\sin(x)}{x^2-2x+5}dx$$ I have calculated the Residue in the upper half plane to be $1/4i$ which is correct according to wolfram alpha but I am unsure on how to proceed I ...
complex-analysis modified May 24 at 23:37
complex-analysis analysis taylor-expansion answered May 24 at 23:29
43.9k2689
Sorry about the vague title, I'm not quite sure how to word it. Any edits would be very helpful!
Let $f(z)$ be analytic with $f'(z_0)\ne0$ where $z_0$ is a complex number Define $$g(w)= ...
complex-analysis asked May 24 at 23:04
calculating $\int_0^{\pi} \frac {d\theta} {(a+b\cos \theta)^2}$ using Residual Theorem [duplicate]
Could anyone help me provide a way to calculate
$$ \int_0^{\pi} \frac {d\theta} {(a+b\cos \theta)^2} $$
using the Residue theorem in complex analysis?
complex-analysis complex-numbers asked May 24 at 22:57
Why does this $R_0$ exist?
I'm reading Conway's complex analysis book and on page 116 he writes:
I didn't understand why such $R_0$ exists.
complex-analysis answered May 24 at 22:23
Name or reference about a inequality with integrals?
I have wrote down some class notes and I think I copied something wrong. It is an integral inequality; $$\iiint_{B^n}|\nabla\psi|^2\frac{1}{|x|^{n-2}}dV\leq C\iint_{\partial B^n}|\psi|^2dA$$
integration complex-analysis functional-analysis reference-request integral-inequality modified May 24 at 22:04
Proof of the linearity of complex integrals for paths of bounded variation?
I am familiar with the proof of the linearity of complex integrals for piece-wise smooth paths. Nonetheless, complex integrals can be defined for more general paths $\gamma:[a,b]\to\mathbb{C}$ where ...
complex-analysis answered May 24 at 22:01
I didn't understand why there is such $M$. What I know is if $f(z)$ has a removable singularity at ...
complex-analysis asked May 24 at 21:39
7,06551757
A holomorphic function $f:D\rightarrow D$ such that $\mid f(z^2)\mid\geq \mid f(z)\mid$ for all $z$ must be constant.
I ran into this reading some Complex stuff for fluid dynamics, and it seems so simple but it's got me stuck. $D$ stands for the unit disk.
Since $\mid z \mid<1$, then $\mid z^2\mid \leq \mid z ...
complex-analysis holomorphic-functions answered May 24 at 21:03
25k1835
name/term for the property of non-analytic complex functions causing “anisotropy”
I'm looking for a mathematical term here so I can understand the consequences of nonlinearity in a system of interest to me. Here's an example system that exhibits this behavior:
f(z) = ...
complex-analysis terminology asked May 24 at 20:21
How do I express $f(z)= \frac{6z}{z^2 - 4z + 13}$ as a power series centered at 0?
I am having trouble solving this power series problem because I usually go about decomposing the $f(z)$ and then using geometric series, but the method doesn't seem to work with this because I get ...
complex-analysis power-series modified May 24 at 19:52
53.7k1198185
Why is the fundamental period $T_0$ of the complex exponential $e^{i\omega_0t}$, $T_0 = \frac{2 \pi}{|\omega_0|}$?
Assuming that $\omega_0 \in \mathbb{R}, t \in \mathbb{R}, T \in \mathbb{R}$.
I realize that in order for $e^{i\omega_0t}$ to be perioric, it must be true that $e^{i\omega_0(t + T)} = e^{i\omega_0t}$ ...
complex-analysis signal-processing modified May 24 at 19:31
Juliano Foleiss
A very well-known formula in complex analysis is
\lim_{\epsilon\to0^+}\int_{-\infty}^\infty\frac{f(x)}{x-x_0\pm i\epsilon}dx = P\int_{-\infty}^\infty \frac{f(x)}{x-x_0}dx \mp i\pi f(x_0),
complex-analysis analysis modified May 24 at 18:42
$|\exp(iRe^{i\theta})|=\exp(-R\sin\theta)$?
Why is the last equality true?
complex-analysis answered May 24 at 18:40
Under what conditions on $f$, is $f(az)=g(a)f(z)$?
Formal Statement Given nonzero constant $a \in \mathbb{C}$, $|a|>0$ and $f:\mathbb{C} \to \mathbb{C}$, under what conditions on $f$ does the following hold?
f\left(a ...
complex-analysis functions complex-numbers factoring modified May 24 at 18:40
Show using the definition, that f is differentiable at $x_0+i0$
Show using the definition, that f is differentiable at $x_0+i0$ where $$f= x^2+y^2+2xyi$$
I know I must use the definition of differentiability but I cannot see where ...
complex-analysis modified May 24 at 17:55
If $\mathbb{D}$ is the open unit disk, we know from Liouville's theorem that there cannot exist a 1-1 and onto analytic map (i.e. biholomorphic) from $\mathbb{D}\to\mathbb{C}$? But could there exist ...
complex-analysis analyticity modified May 24 at 17:53
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