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Existing hierarchical clustering (HC) algorithms generally depend on the Euclidean characteristic metric (Euclidean distance, Manhattan distance, Chebyshev distance, etc.) on Euclidean space to describe the similarity between objects, which makes the clustering process oriented to data sets with uniform and regular distribution in Euclidean space. Although such methods can visually distinguish the cluster distribution of data, it is not effective for the data sets which are densely distributed, interlaced and complex in Euclidean space. As a scalable, efficient and robust method, granular computing generally analyzes data from the perspective of similarity and proximity. In consideration of the advantages of granular computing in extracting data information from a multi-level perspective, in order to reduce the limitations of HC methods based on Euclidean features on non-Euclidean data, this paper proposes a novel HC method based on non-Euclidean feature structure. First, this paper constructs the similarity between objects based on K -dominance granularity and neighborhood search, and considers the environmental information of data points from both global and local perspectives. Secondly, a new HC method based on non-Euclidean feature structure is designed on the basis of the similarity measurement constructed in this paper. Finally, through comparative analysis, the experimental results prove that our method can more accurately identify the densely distributed and interlaced data sets in Euclidean space; it is significantly better than comparison algorithms using different Euclidean features to measure similarity; it has good robustness when additional Gaussian noise is added. [ABSTRACT FROM AUTHOR]

Ptolemy's theorem is a classical result obtained in the late Greek-Roman period, whose first application was to provide computational support to a geocentric cosmological model. This model's most important achievement was that it explained the apparent movement of celestial bodies to a subjective observer on the Earth. What makes Ptolemy's theorem a very interesting case in the history of mathematics is that the Euclidean concept of a Ptolemaic configuration can be investigated in the geometry of general metric spaces, in a situation very similar to the triangle inequality. To complement the historical narrative, in the final part of our paper we introduce a new norm, related to the Euclidean, Chebyshev, and Manhattan norms, and we investigate its properties in relation with other norms, hoping to illustrate how this fundamental configuration traversed Euclidean geometry, complex geometry, and analysis, transformational geometry, to become an interesting classification criterion in metric geometry. [ABSTRACT FROM AUTHOR]

Legislation has been introduced in the New York City Council to prohibit government agencies from purchasing single-use plastic water bottles smaller than one gallon. The aim is to encourage the use of water coolers or water packaged in paper cartons and aluminum instead. The bill is part of a larger effort to reduce the consumption of single-use plastic in the city, which currently sees hundreds of millions of plastic bottles discarded each year. The legislation is motivated by concerns about the negative health effects of plastic consumption and the environmental impact of plastic production. While the bill only addresses government contracts, advocates argue that it is an important step in tackling the plastic pollution problem from multiple angles. [Extracted from the article]

Keywords: Housing and Homelessness; Immigration; Manhattan; 60-day shelter limit; adams administration; asylum seekers; Homelessness; immigrants; Legal Aid Society; nyc shelter system EN Housing and Homelessness Immigration Manhattan 60-day shelter limit adams administration asylum seekers Homelessness immigrants Legal Aid Society nyc shelter system N.PAG N.PAG 1 11/08/23 20231102 NES 231102 I A recently-opened facility dedicated to "reticketing" has sown confusion, emerging as one of the only options - along with new "waiting areas" - for recently-arrived immigrants forced to leave their shelter placements as the cold sets in. i Graph: Emma Whitford A group of friends from Mauritania show a piece of paper that directed them to the East Village reticketing center on Nov. 1. The St. Brigid reticketing center is meant to serve people after their time has expired, according to an Oct. 27 memo circulated by the Legal Aid Society, relaying information the organization had obtained from the Adams administration. [Extracted from the article]

At Padma Lakshmi's annual Diwali party in New York City, food and friendships are in full bloom. Plus more for rolling (see Note) b B 1 tsp. ajwain seeds b B ¾ tsp. fine sea salt b B 2 Tbsp. canola oil b B ¼ cup water, plus more as needed b FILLING B 2 Tbsp. canola oil b B 2/3 cup finely chopped red onion b B ¼ tsp. fine sea salt b B 1 Tbsp. ginger-garlic paste (such as Taj Gourmet Foods) (see Note) b B 1 Tbsp. finely chopped unseeded green chile (such as serrano) b B 1 lb. ground chicken b B 2 Tbsp. chili powder b B 1½ tsp. garam masala b B 1 tsp. black pepper b B 1 tsp. ground turmeric b B ½ tsp. ground coriander b B ¼ cup chopped fresh cilantro b ADDITIONAL INGREDIENT B Canola oil, for frying b B 1. Knead the crumbly cheese curds with the heel of your hand until they have a creamy consistency and can be shaped into smooth balls. i CHENNA B 8 cups whole milk b B 3 Tbsp. white vinegar b B 6 cups water b B 1½ cups granulated sugar b B 4 green cardamom pods, lightly smashed (optional) b RABDI B 4 cups whole milk b B ½ cup granulated sugar b B 1/8 tsp. saffron threads b B 1½ tsp. ground cardamom b ADDITIONAL INGREDIENTS B 1 cup canned Alphonso mango pulp (such as Deep), divided (see Note) b B ½ cup chopped ripe mango (from 1 mango) b B Finely chopped pistachios (optional) b B Edible flowers (optional) b B 1. Mango Lemonade PHOTO P. 102 TOTAL 10 MIN; SERVES 6 I Vibrant, sweet mango pulp comes together with tart fresh lemon juice and bubbly club soda in this quick and refreshing drink. [Extracted from the article]

The article reports on the cup-recycling program that the Starbucks stores has launched in Manhattan, New York City. It states that the company set up the program with the cooperation of Global Green USA's Coalition for Resource Recovery (CORR). It notes that the aim of the program is to establish a cost-effective process of paper packaging and to reduce green house gases. It adds that it will also assist municipalities in attaining their goals on solid waste recycling.

On paper, it sounds contrived: a Spanish-themed food court run by three celebrity chefs in an American mall. "What José Andrés and the Adrià brothers have done at Mercado Little Spain is really remarkable", The New York Times food critic Pete Wells told me soon after my first visit to Hudson Yards. The 15 stalls and three restaurants that make up Mercado Little Spain are located on the ground floor of the seven-storey Shops and Restaurants at Hudson Yards, which houses 20 other eateries, many by well-known chefs. [Extracted from the article]

This article from PhotoPlus magazine provides a step-by-step guide on how to transform cityscapes, specifically the New York skyline, into artistic and colorful images using Affinity Photo software. The process involves converting the photo to black and white, isolating each vertical street using the Pen tool, and adding streaks of paint to match the shapes of the streets. The article also suggests creating your own paint streaks for a more personalized effect. The final result can be fine-tuned by adjusting colors and blending textures using layer skills. The article provides detailed instructions and tips for achieving this artistic transformation. [Extracted from the article]

The article reports on the first publication of the tabloid newspaper "Trib" in January 1978, owned by publisher Leonard Saffir in Manhattan, New York City. Saffir states that the publication will fight for a better climate for business, and demand a fair policy for labor without self-destructive strikes, brass knuckles and police cordons. It notes that the tabloid's first-year circulation goal is 200,000, and is expected to be editorially conservative. It mentions that the publication's board of directors include James Buckley, former Conservative-Republican Senator from New York.

The article offers information on the Marco Polo Day Festival, celebrated annually since 2009 by the Two Bridges Neighborhood Council in Manhattan's Lower East Side.

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Interval reciprocal preference relations (IRPRs) have been extensively applied to real-life decision-making problems. This paper aims at introducing two new decision-making methods with IRPRs. To overcome drawbacks of several extant order relations of intervals, a new admissible order relation of intervals is proposed. An algorithm is then introduced to rank a series of intervals. We define a new consistency index and the satisfactory consistency of IRPRs. For improving the consistency level of IRPRs, a linear programming model is built. Subsequently, a new individual decision-making (IDM) method with an IRPR is introduced. For group decision making, a group consensus index is proposed. To improve the group consensus degree, an interactive convergent iterative algorithm is designed. Decision makers' weights are determined by combining the logarithmic Manhattan distance between two IRPRs with the consistency indices of IRPRs. Accordingly, a novel consistent and consensus-based group decision-making (GDM) method with IRPRs is presented. Eventually, a decision support system is developed based on the proposed IDM method and GDM method. Illustrative examples and simulation experiments are provided to illustrate the superiority of the proposed IDM method and GDM method. [ABSTRACT FROM AUTHOR]

The article explores the experience of Lillian Carter, the mother of U.S. President Jimmy Carter and her family in Manhattan, New York. It is stated that Lillian became a reporter herself for Georgia's Columbus Ledger in which she recorded her impressions on tape, which were then phoned to the paper and put in print. It mentions that Lilian offered a novel account of how the President first declared his intention of seeking the presidency, while she was also free with advice for Jimmy. It adds that the three Carter sons and their wives filled in for the President at some of the 300 functions to which he was invited. It notes that their family attended a morning service at the Fifth Avenue Presbyterian Church.

This article from Architectural Digest discusses the renovation of a duplex penthouse apartment on Manhattan's Upper East Side by interior designer Michael S. Smith. The apartment, located in an Art Deco limestone building, had a rich history and retained many of its original period details. Smith and architect Oscar Shamamian worked to update the kitchen, bathrooms, and primary suite while maintaining the overall character of the space. The design of the apartment blends vintage and antique furnishings with contemporary elements, creating a harmonious and inviting atmosphere. [Extracted from the article]

(Bloomberg) -- President Donald Trump's attorneys have reached a temporary agreement with the office of Manhattan District Attorney Cyrus Vance delaying the deadline for Mazars USA LLP, Trump's accountants, to comply with a subpoena for his taxes and for other financial papers. The deal provides for Mazars to continue gathering documents responsive to the subpoena and calls for it to turn them over to state prosecutors on Oct. 7 or two days after a judge rules on Trump's request to block the subpoena, whichever comes first. [Extracted from the article]

(Bloomberg) -- Manhattan District Attorney Cyrus Vance Jr. urged a judge to reject Donald Trump's challenge to state prosecutors' subpoenas demanding eight years of the president's tax returns in a probe of whether the Trump Organization falsified business records. Trump's challenge belongs in New York state rather than federal court, Vance argued in court papers filed Monday. [Extracted from the article]

Existing robust non-negative matrix factorization methods fail to achieve data recovery and learn a robust representation. This is because these methods suppose that outliers and noise of the original data are the Gaussian distribution. In this paper, we propose a robust non-negative matrix model, called robust Manhattan non-negative matrix factorization, which can handle various noise (e.g. Gaussian noise, Salt and Pepper noise or Contiguous Occlusion). Different from previous robust non-negative matrix factorization models, we utilize mean filter and matrix completion as additional constraints to recover the corrupted data from normal data or neighbouring corrupted data, and achieve a robust low-dimensional representation by Manhattan non-negative matrix factorization. We theoretically compare the robustness of our proposed model with other non-negative matrix factorization models and theoretically prove the effectiveness of the proposed algorithm. Extensive experimental results on the image dataset containing noise and outliers validate the robustness and effectiveness of our proposed model for image recovery and representation. [ABSTRACT FROM AUTHOR]

Botbar, the robotic coffee shop, has expanded to Manhattan at Sanmiwago, a Taiwanese dumpling shop, at 1695 Broadway, near West 53rd Street, according to an Eater New York report. The Manhattan installation for the machine, provided by Richtech Robotics, follows... [ABSTRACT FROM AUTHOR]

The article presents several cookbooks that Manhattan, New York City-based culinary expert George Lang considered essential to the kitchen library. He recommends "Joy of Cooking," by Irma Rombauer and Marion Becker for those cooks that start with elaborate recipes but have no idea how to make a basic cream sauce. He says that "The Escoffier Cook Book" contains the most useful part of the theoretical and practical canon of gastronomy. He stresses the various editions of the "The Elizabeth David Cookery Book Set."

Nearly two years after announcing it planned to open a store in downtown Manhattan, Wegmans, a supermarket, will open the doors to the location at 770 Broadway on Oct. [ABSTRACT FROM AUTHOR]

The article reports that the horse-drawn wagon trundled through the middle of Manhattan. Topics include examines that the abandoned cart and the horse that drew it were blown apart in a storm of fire and concussion, from which erupted a blast that carpeted the street with bystanders and, as far as two blocks away, derailed a trolley car, sending even more New Yorkers tumbling to the pavement.

The tenth annual fair will take place for the first time at The Shed in Manhattan. Here are the most anticipated works of art that will be on display as the New York City arts scene emerges from the pandemic with its first major live fair. [ABSTRACT FROM AUTHOR]

When I went back to Building, I wasprobably wearing go-go boots and someridiculous paper dress or something,and somehow I got ushered up to the VIProom, which was this glass-enclosed box,and got my first glimpse of the ClubKids: Waltpaper, Desi Monster, Pebbles,Christopher Comp. So I kind of bowed out of themodeling career and wound down myclub career and looked for somethingwith purpose that was not so egocentric. [Extracted from the article]

Reports on investigations by the Manhattan District Attorney's Office on the alleged link between Douglas LaChance, president of the Newspaper and Mail Deliverers Union of New York and Vicinity, and organized crime. Previous conviction and imprisonment of LaChance; History of publishing industry's link with organized crime; Conviction of publisher Cohen Robert in 1981 for making payments to LaChance; Argument pertaining to alleged extortions, theft and chicanery in the industry.

Those shopping at Saks Fifth Avenue, in Manhattan, New York, may also be able to do a bit of gambling in the future if plans for a casino development prove successful. Hudson's Bay Company, owner of the retail store, is... [ABSTRACT FROM AUTHOR]

(Bloomberg) -- On paper, it's the most expensive condo tower in the U.S. And at 1,550 feet above Manhattan, it's also the Western Hemisphere's tallest. At their current listed prices, Central Park Tower's 179 apartments have a combined value of more than $4 billion, making it the most expensive condo project in the country, by Extell's estimates. [Extracted from the article]

Balancing the supply and demand for ride-sourcing companies is a challenging issue, especially with real-time requests and stochastic traffic conditions of large-scale congested road networks. To tackle this challenge, this article proposes a robust and scalable approach that integrates reinforcement learning (RL) and a centralized programming (CP) structure to promote real-time taxi operations. Both real-time order matching decisions and vehicle relocation decisions at the microscopic network scale are integrated within a Markov decision process framework. The RL component learns the decomposed state-value function, which represents the taxi drivers’ experience, the off-line historical demand pattern, and the traffic network congestion. The CP component plans nonmyopic decisions for drivers collectively under the prescribed system constraints to explicitly realize cooperation. Furthermore, to circumvent sparse reward and sample imbalance problems over the microscopic road network, this article proposed a temporal-difference learning algorithm with prioritized gradient descent and adaptive exploration techniques. A simulator is built and trained with the Manhattan road network and New York City yellow taxi data to simulate the real-time vehicle dispatching environment. Both centralized and decentralized taxi dispatching policies are examined with the simulator. This case study shows that the proposed approach can further improve taxi drivers’ profits while reducing customers’ waiting times compared to several existing vehicle dispatching algorithms. [ABSTRACT FROM AUTHOR]

Stayntouch, a cloud-based hotel property management system technology, has partnered with Ian Schrager's Public Hotel in Lower Manhattan, according to a hospitalitynet report. Public Hotel now uses Stayntouch PMS and kiosk solutions for guest check-ins, streamlined operations and enhanced connectivity... [ABSTRACT FROM AUTHOR]

A new trend of planting tiny forests is coming to Manhattan, with the first one set to be planted on Roosevelt Island. The Manhattan Healing Forest will consist of 1,000 native plants, trees, and shrubs covering 2,700 square feet. The forest will be planted using the Miyawaki method, which encourages rapid growth and self-sufficiency within a few decades. Similar mini-forests have been planted around the world, providing benefits such as cooling effects, floodwater absorption, and habitat for wildlife. In the United States, Miyawaki-style forests have been planted in Los Angeles, Washington State, and Cambridge. The Roosevelt Island mini-forest will be the 200th such forest planted by the SUGi foundation. [Extracted from the article]

The article reports on the U.S. District Court decision upholding the contention of Berkey Photo Inc. that Eastman Kodak Co. unlawfully monopolized the market for film, cameras and color-print paper in Manhattan, New York City in February 1978. Lawyers believe that the case would pose a major threat to industry leaders if Berkey wins an appeal. It mentions that Kodak has settled similar lawsuits filed by Bell & Howell. Also explained is the rationale behind the request of Kodak for a jury trial.

The article discusses a court case wherein the publishers of the "Guide Gault-Millau" asserted that the pancakes served with the Peking duck in Mr. Chow's Chinese restaurant of Michael Chow were the size of a saucer and thick. After Chow brought his chef into Manhattan, New York City federal district court to demonstrate the technique for making paper-thin pancakes, the jury decided that Chow had been libeled by the publishers. The publishers' appeal to the verdict is discussed.

KASPAR KÄGI Michael Reid Sydney | 4 TO 28 AUGUST With his paintings reportedly often selling out before exhibitions open, Sydney painter Kaspar Kägi will have his first solo exhibition at Michael Reid Sydney later this year. SEBASTIAN BLANCK Michael Reid Sydney | 9 JUNE TO 3 JULY In his first exhibition in Australia, New York-based artist Sebastian Blanck presents a series of new oil paintings. [Extracted from the article]

Luxury jeweler MISH, run by Mish Tworkowski for 30 years in Manhattan, New York is now doing business in Palm Beach, Florida. The retailer's relocation was planned and not spurred by the ongoing pandemic, according to a Forbes report. "Joseph... [ABSTRACT FROM AUTHOR]

The incident occurred near the media staging area outside the Manhattan court where the former president's hush money trial is taking place. [ABSTRACT FROM AUTHOR]

Community-based organizations in New York City are calling for more support from the city to help residents prepare for and respond to extreme weather events caused by climate change. These organizations, which have strong social ties within their neighborhoods, are well-positioned to assist during emergencies but need better communication, engagement, and financial resources from the city. Advocates are also pushing for reforms and greater accountability from the city's Office of Emergency Management, which has been criticized for its response to air quality crises and heavy rains. The city has invested in initiatives like Strengthening Communities to support community-based organizations, but more resources are needed as extreme weather incidents are expected to increase in the coming years. [Extracted from the article]

The article reports that shareholders have filed a lawsuit against Reserve Funds' Primary Fund for halting redemption of holdings in Manhattan, New York City. The shareholders alleged that the fund deviated from its objective to preserve capital and liquidity. The lawsuit states that the fund's strategy to pursue higher yields was exemplified by its unreasonable concentration of $785 million in commercial paper issued by Lehman.

The article focuses on the collaboration of the members of Group Material, a group composed of young artists, designers, and educators to remain in the art scene in New York City. It states that each member contributes to the 45 dollars payment for storefront space they rented in Manhattan. It mentions that the members have preserved a paper trail of procedures and budgets in order to meet the incorporation guidelines in New York State which would enable them to apply for government funding.

Information about several topics related to painting, which were discussed during a five-day workshop at the Art Students League of New York (ASL) in Manhattan, New York City is presented. It featured the painter, Burton Silverman, who is one of the prominent artists devoted to representational art during the rise of abstract expressionism in the 1940s and 1950s. Silverman talked about the variations between his approach to drawing and painting and the methods of others who teach art classes.

The article features watercolorist Phyllis Floyd. She finds her subject matter within walking distance of her loft in Manhattan, New York City. She says the key is finding people who do not look like they are going to move for a while and who are unaware of what she is doing. In addition to finding the fight subject, Floyd looks for the right light, preferring to paint in the afternoon. To compose the scene, Floyd doses one eye and frames the subject with her hands.

The article presents some of the highlights of a workshop conducted by artist Francis Cunningham at the Art Students League of New York in Manhattan. He provided lectures about the reasons for drawing a full-scale nude figure. He demonstrated how he wanted participants to hold the stick of vine charcoal as they drew the model. He also discussed the ultimate goal of using the life-size drawing of the nude as the foundation of an oil painting.

Offers a look at the home of young New York artists Taylor McKimens and Misaki Kawai. Reason for the fascination of the artists with their Manhattan apartment; Manifestations of the artistic influences of the artists in their studio; Difference between the artistic style of the artists.

Comments on the art works of computer artist Cory Arcangel, who was featured in two exhibitions, the "Welcome to my Homepage Artshow!!!!!!!!" at Team and "Super Mario Movie" in Manhattan, New York City. Use of videos and altered software projects to create art; Names of collaborators who work with Arcangel; Use of Arcangel's musical and technical talents in his music videos that feature groups with vastly different cultural roots; Participation of the audience in Arcangel's works.

Provides information on the white-and-silver-themed interior decoration of the apartment owned by interior designer Benjamin Noriega-Ortiz and his partner Steven Wine, in Manhattan, New York City. Shades of white used; Designer of the chairs in the living room and kitchen; Information on what the white paper doves on the wreath symbolize.

An essay is presented on the inspiration that the author receives by walking the streets of New York, New York where she lives, and it mentions how some writers feel that they have to travel abroad in order to write freely about America. Her transition from the borough of Bronx, New York to the city's Manhattan neighborhood is mentioned, along with author Doris Lessing's book "The Golden Notebook" and the late writer James Joyce's travels and his literature about his home country of Ireland.