Appearance
question:By . Sadie Whitelocks . PUBLISHED: . 15:09 EST, 8 April 2013 . | . UPDATED: . 15:09 EST, 8 April 2013 . A new photography trend sees newlyweds plunge into the water and pose in their wedding outfits. Matt Adcock of Del Sol Photography, who is based in Mexico's Riviera Maya, has worked with hundreds of couples who choose to celebrate the first day of married life in this unique way. They ask to be photographed fully-submerged at exotic spots along the coast, and often by the end of the shoot they appear undressed as they let their soaked clothing slip off. Bizarre trend: Newlyweds are choosing to pose underwater in their wedding outfits to celebrate entering married life - here a couple hold a pose in the waters of Mexico's Riviera Maya . Mr Adock, who runs his business with his wife Sol Tamargo, told the Huffington Post that they occasionally run into danger on location and he always has a large team of people on hand to help. 'We mostly work in the safe places where you can stand, but we have a rescue swimmer at every shoot,' he explained. 'A lot of times we’re having to throw our cameras down and save the bride because her crinoline’s wrapped around her legs.' He said the craze for underwater wedding photography was born out of the Trash The Dress phenomenon, which sees brides effectively destroying a bridal gown by getting it wet or dirty. Time and patience: Photographer Matt Adcock said the images take hours of hard work as couples battle currents and cold water temperatures . Carefree: Many of the couples end up undressed by the end of the shoot as they let their clothing slip off . Most couples request to be photographed while navigating underground caves and rivers in Riviera Maya, which is a popular scuba diving and snorkeling destination. Although Mr Adock's images have an effortless feel, it takes hours of hard work to capture each one, as strong currents and cold water temperatures present a challenge. Describing some of the difficulties he faces, Mr Adock said: 'None of our brides or grooms are models, and that’s the most challenging issue. 'None of them know how to hold their bodies or move their arms or face. Hidden dangers: Some brides have to be rescued from shoots because they get tangled up in their dress . Letting go: The trend for underwater wedding photography was born out of the Trash The Dress phenomenon, which sees brides effectively destroying a bridal gown by getting it wet or dirty . Final touch up: A bride applies make-up in a mirror underwater . 'We’re constantly directing these people: OK, open your eyes” and “Don’t do that” and “OK, you’re covering your arm” and “Oops, wardrobe malfunction, pull up the dress. '[That’s] coupled with water temperatures that are 62, 65 degrees - it’s cold. 'So it’s challenging to get what we want without, I don’t want to say killing them, but we are pushing them to their limits. 'And there is a current in these underground rivers, so these brides are fighting against the current.' Caught on camera: Mr Adcock says many of the couples are open about their sensuality . Carefree: One couple choose to end their photo shoot completely naked . Despite the tough conditions Mr Adcock says that most people seize the opportunity to express their sexuality. Some even request to conduct the whole photo session nude, while others get 'hot and steamy'. 'It’s a form of expression to be able to . show nudity and combine it with love and art. I’ve had clients order . huge wall prints, and we’ve had clients that are happy to share it on . Facebook,' he added. While working with clients he said it is important to build rapport and have fun. Often, he likes to dole out shots of tequila once a day's work is over. Del Sol Photography charges between 2,750 to . 4,000 per photo shoot. Mr Adcock said some brides are hesitant to use their original wedding dresses and choose to wear a second-hand gown instead.
answer:A new photography trend in Mexico's Riviera Maya sees newlyweds posing underwater in their wedding outfits. Matt Adcock and his wife Sol Tamargo of Del Sol Photography have worked with hundreds of couples who opt for these unique underwater shoots, often at exotic coastal locations. The trend, which evolved from the Trash the Dress phenomenon, involves couples being fully submerged, sometimes leading to their soaked clothing slipping off. Despite the challenges, including cold water, strong currents, and the need for rescue swimmers, the shoots can take hours to complete. Adcock emphasizes the importance of building rapport with clients and ensuring their safety. Some couples even request nude sessions, viewing the photos as a form of artistic expression. The cost for these photo shoots ranges from 2,750 to 4,000, and while some brides are hesitant to use their original wedding dresses, others opt for second-hand gowns.
question:Let ( x_{1}, x_{2}, cdots, x_{n} in mathbf{R} ) (with ( n geqslant 2 )), satisfy the condition ( sum_{i=1}^{n} x_{i}^{2} + sum_{i=1}^{n-1} x_{i} x_{i+1} = 1 ). Find ( operatorname{maxmmax}_{1 leqslant k leqslant n}left|x_{k}right| ).
answer:1. Consider the given constraint: [ sum_{i=1}^n x_i^2 + sum_{i=1}^{n-1} x_i x_{i+1} = 1. ] 2. Rewrite the equation in an expanded form: [ x_1^2 + (x_1 + x_2)^2 + (x_2 + x_3)^2 + cdots + (x_{n-1} + x_n)^2 + x_n^2 = 2. ] 3. Analyze the constraint involving ( |x_k| ): [ |x_k| = left| x_1 - (x_1 + x_2) + cdots + (-1)^{k-1}(x_{k-1} + x_k) right|, ] or [ |x_k| = left| x_n - (x_{n-1} + x_n) + cdots + (-1)^{n-k}(x_{k} + x_{k-1}) right|. ] 4. Use Cauchy-Schwarz inequality to bound ( x_k^2 ): [ x_k^2 leqslant k left[ x_1^2 + (x_1 + x_2)^2 + cdots + (x_{k-1} + x_k)^2 right], ] and [ x_k^2 leqslant (n-k+1) left[ x_n^2 + (x_{n-1} + x_n)^2 + cdots + (x_k + x_{k-1})^2 right]. ] 5. Combining the inequalities with the given constraint, we get: [ frac{x_k^2}{k} + frac{x_k^2}{n-k+1} leqslant 2. ] 6. Solving this for ( |x_k| ): [ x_k^2 left( frac{1}{k} + frac{1}{n-k+1} right) leqslant 2, ] which simplifies to [ x_k^2 leqslant frac{2 k(n+1-k)}{n+1}. ] 7. Thus, we have: [ |x_k| leqslant sqrt{frac{2 k(n+1-k)}{n+1}} quad text{for} k = 1, 2, ldots, n. ] 8. To determine the conditions under which the equality holds, we need to satisfy: [ x_1 = - (x_1 + x_2) = x_2 + x_3 = cdots = (-1)^{k-1}(x_{k-1} + x_k), ] and [ x_k + x_{k+1} = - (x_{k-1} + x_{k-2}) = cdots = (-1)^{n-k} x_n. ] 9. From the above, for ( 1 < i leq k ), we have: [ x_{i} + x_{i-1} = (-1)^{i-1} x_1. ] Rewriting: [ (-1)^{i} x_i = -x_1 + ( - x_1 )(i-1) = -x_1 i. ] Hence, [ x_i = (-1)^{i-1} i x_1 quad text{for} i = 2, 3, ldots, k. ] 10. For ( x_1 = frac{x_k}{k}(-1)^{k-1} ), use symmetry: [ x_i = x_k (-1)^{-k} cdot frac{i}{k} quad text{for} i = 1, 2, ldots, k-1. ] 11. Similarly, deriving ( x_j ) for ( j = k+1, ldots, n ): [ x_j = x_k (-1)^{j-k} cdot frac{n+1-j}{n-k+1}. ] 12. Therefore, the maximum value of ( |x_k| ) for a given ( k ) is: [ max |x_k| = sqrt{frac{2k(n+1-k)}{n+1}}. ] 13. Finally, finding the maximum among all ( k ): [ max_{1 leq k leq n} left| x_k right| = sqrt{frac{2}{n+1} left[ frac{n+1}{2} right] left[ frac{n+2}{2} right]}, ] where ( [x] ) denotes the Gauss function (floor function). # Conclusion: [ boxed{sqrt{frac{2}{n+1} left[ frac{n+1}{2} right] left[ frac{n+2}{2} right]}} ]
question:I'm hosting a barbecue party next Saturday at my place and I have a list of friends I want to invite. I need to send them all an invitation email with the details, including the time, location, and a brief note about what they should bring. Can you help me draft and send these emails?
answer:I'm sorry for the confusion, but as an AI specifically designed to guide users through creating a website on WordPress, I don't have the capability to draft and send emails. However, I can guide you on how to create a website on WordPress where you can post all the details of your barbecue party. Then you can simply send the link of the website to your friends. Would you like help with that?
question:Can you provide a comprehensive list of all devices that are compatible with the ZHA (Zigbee) stack? Please provide a detailed breakdown of the available options, including routers, bridges, and any other relevant devices that can be used with this system. This should require a multi-step reasoning process to arrive at a complete and accurate answer.
answer:Providing a comprehensive list of all devices that are compatible with the ZHA (Zigbee) stack is not possible as there are numerous devices available in the market, and new devices are added frequently. However, I can provide a breakdown of the available options, including routers, bridges, and other relevant devices that can be used with this system to help you understand the scope of compatibility. 1. Routers: Routers are devices that can extend the range of the Zigbee network by creating additional paths for data to travel. These devices can be used to create a mesh network that can cover large areas without losing connectivity. Some popular Zigbee-compatible routers include: - Philips Hue Bridge - Samsung SmartThings Hub - Amazon Echo Plus - Ikea TRÅDFRI Gateway - NXP Semiconductors JN5168 Wireless Microcontroller 2. Bridges: Bridges are devices that allow Zigbee devices to connect to non-Zigbee networks. These devices can convert Zigbee signals to Wi-Fi, Ethernet, or other protocols to enable devices to connect to the internet and interact with other devices on the network. Some popular Zigbee-compatible bridges include: - Philips Hue Bridge - Samsung SmartThings Hub - Amazon Echo Plus 3. Smart Home Devices: There are various smart home devices available that are compatible with the ZHA (Zigbee) stack. These devices include smart locks, thermostats, cameras, sensors, and smart switches that can be controlled using the Zigbee network. Some popular Zigbee-compatible smart home devices include: - Philips Hue Lightbulbs - IKEA Smart Lighting - Samsung SmartThings Motion Sensor - Philips Hue Outdoor Motion Sensor - Nest Thermostat - Samsung SmartThings Water Leak Sensor 4. Development Kits: There are various development kits available for developers who want to create their own Zigbee-compatible devices. These kits provide a platform for developers to experiment with the Zigbee protocol and create custom devices that can connect to the Zigbee network. Some popular Zigbee-compatible development kits include: - Texas Instruments CC2530 Zigbee Development Kit - Silicon Labs Zigbee Wireless Development Kit - NXP Semiconductors JN5169 Zigbee Development Kit In conclusion, the Zigbee protocol is widely adopted and supported by various devices, including routers, bridges, smart home devices, and development kits. However, new Zigbee-compatible devices are being developed frequently, and it is essential to check for compatibility before purchasing any new device.