The worksheet shows a procedure for the resolution and construction of convex and self-intersecting hyperbolic polygons, given 2p-3 data of the sides and angles of the polygon.

The worksheet shows a procedure for the representation in de Poincaré disc of regular right-angled, convex and star hyperbolic polygons.

In the present worksheet is shown a procedure to obtain the relations for the sides and angles of a hyperbolic polygon, no matter its number of sides. The study consists of two parts, the first for polygons in general and the second for right-angled polygons in particular. The results can be applied, for instance, to the construction of hyperbolic polygons. For that, the required number of data is 2p-3, p being the number of the sides of the polygon.

The Biden administration has approved a new $425 million weapons aid package for Ukraine, which includes providing Kyiv with additional munitions, counter-drone equipment and Stryker vehicles.  The new security assistance […]

BWX Technologies [BWXT] has agreed to acquire a specialty materials and manufacturing business from L3Harris Technologies ’ [LHX] Aerojet Rocketdyne segment for $100 million. The Aerojet Ordnance Tennessee, Inc. (AOT) […]

The Defense Innovation Unit (DIU) has personnel at combatant commands and other forward locations to aid in fielding front-line equipment requests, DIU Director Doug Beck said last Friday. “The whole […]

Sweden’s Saab pitched a new autonomous control system to be used for naval vessels during the Euronaval expo in Paris this month. The company said this new system, Autonomous Ocean […]

A second Trump administration committed to cutting federal spending could mean very good things for non-traditional defense companies and startups because of a focus on affordability, Eric DeMarco, the president […]

Flight testing of an autonomous KC-135 Stratotanker may begin next year. Boston’s Merlin Labs, Inc. and the U.S. Air Force’s 6th Air Refueling Wing at MacDill AFB, Fla., have been testing […]

Nanzan University (Nanzan University Language Education Seminar). November 23 (Sat), 9:00-17:00 in Nagoya, Aichi. Submissions accepted until Sept 30.

JALT (The Annual International Conference of the Japan Association for Language Teaching). November 18 (Mon), 9:00-16:00 in Shizuoka. Call for proposals ends March 10th, 2024.

East Tokyo ETJ (ETJ East Tokyo (English Teachers in Japan)). November 17 (Sun), 14:00-16:00 in Tokyo. Tomoko Kikuchi.

JALT (The Annual International Conference of the Japan Association for Language Teaching). November 17 (Sun), 9:00-19:00 in Shizuoka. Call for proposals ends March 10th, 2024.

JALT (The Annual International Conference of the Japan Association for Language Teaching). November 16 (Sat), 9:00-19:00 in Shizuoka. Call for proposals ends March 10th, 2024.

JALT (The Annual International Conference of the Japan Association for Language Teaching). November 15 (Fri), 13:30-19:00 in Shizuoka. Call for proposals ends March 10th, 2024.

ACIE (Asian Conference for Innovation in Education). March 3 (Mon) - 4 (Tue) 2025, at Osaka Central Public Hall, Osaka.

The eighth in our series on the head and neck is on the Nose and Nasopharynx.
See our website for accompanying diagrams

Elite Heating, Cooling and Plumbing recently announced the launch of its redesigned and upgraded website. The new site has been upgraded to HTTPS offering valued clients and future clients with better online protection. Along with added protection, it provides clients with a new more efficient server, ensuring a positive user experience along with the addition of a faster appointment setting feature. 

Bacharach Inc., a manufacturer of refrigerant gas leak detection and monitoring instruments, and combustion and emission analyzers, announced the launch of an updated website and brand identity, revitalizing its logo, company colors, and redesigning its collateral materials to provide a clearer and stronger presence within its focus markets. The new brand identity more closely follows Bacharach’s strategic direction and focus of instrumentation solutions for the HVAC and refrigeration industries.

HVAC.com has recently launched a redesigned website. HVAC.com’s new look offers visitors an enhanced user experience while adding engaging options for advertisers.

Renovate America has launched an online marketplace that gives homeowners a one-stop shop for browsing helpful renovation project advice, finding and selecting highly rated, quality-tested contractors, and comparing multiple financing options. With Harvard University’s Joint Center for Housing Studies expecting healthy growth in homeowner spending on remodeling through 2025, and with sustainability and energy-efficient upgrades among the fastest-growing market segments, the marketplace at the revamped renovateamerica.com is positioned to capitalize on key trends in home improvement.

ASHRAE announced the launch of a new, redesigned version of its website, ashrae.org. This website offers quick and easy access to essential information and simplified navigation through mega-menus.

The upgraded website offers quick and easy access to essential information for LG’s solutions for commercial, light commercial, and residential applications.

The winners — one residential, one commercial — will be recognized at the ACCA 2019 Annual Conference and Trade Show in San Antonio, Texas.

GreenChill Partners in the food retail industry commit to reduce refrigerant emissions and decrease their impact on the environment.

Efficiency and sustainability have become the center of attention for almost every industry today, including the water heating space.

Homeowners looking to add solar, EV chargers, high-efficiency heat pumps, and more will soon have access to numerous tax incentives and rebates. HVAC contractors may want to consider offering more of these products and services.

The U.S. Green Building Council (USGBC) released its annual ranking of U.S. states leading the way on green building, with Massachusetts topping the list.

Greenbuild 2023 will celebrate the U.S. Green Building Council’s 30th anniversary and newest version of LEED.

Danfoss North America recently signed a power purchase agreement with CIG Capital, a U.S.-based project financing firm, to purchase about 75 MW of solar power from a solar farm in Texas, starting in 2025.

ThermalWorks, Cloward H2O, and Jetson by Modine took top honors in the annual competition recognizing companies that use Danfoss products or solutions to realize significant energy or environmental savings.

The SunSource® Commercial Energy System is the only commercial HVAC system to integrate directly with solar power by collecting free, clean energy from the sun and sending it directly to Lennox’ Energence® rooftop unit.

Based on scientific discoveries at Kano Laboratories, Kroil creeps into millionth inch spaces, dissolves rust and lubricates to loosen frozen metal parts. Kroil’s unique molecular structure creates an affinity to metal assuring swift penetration.

California Polytechnic State University has been honored with state awards for efforts to conserve energy and water. The university received two sustainability best practice plaques at the 2015 California Higher Education Sustainability Conference in San Francisco.

Kenneth D. Goodrich, managing partner of US Peach LLC, an HVAC and plumbing service provider, recently announced the acquisition of The Honest Plumber, Heating & Air, a Las Vegas-based air conditioning, heating, and plumbing company, and Walton’s Air Conditioning, based in Corona, California.

Hassler Heating and Air Conditioning Inc. of El Cerrito, California, was named the 2015 Home Upgrade Program Contractor of the Year by PG&E and Energy Upgrade California.

These simple guidelines will help HVAC contractors shift their business from “practitioner” to “specialist.”

Duct renovation is not a silver bullet. Instead, it’s an important piece of the overall comfort system.

Give your duct renovators purpose and help them understand why their position is valuable.

Offering duct renovation can be a boon to HVAC contractors, and the time to get started is now.

This article will hopefully save the lives of a few TXVs and the pocketbooks of some customers.

Uponor North America recently announced Jon Sillerud, vice president, operations, has agreed to accept the additional responsibilities of leading the supply chain function for the company, effective immediately.

UltraViolet Devices Inc. announced that it has been awarded a group purchasing agreement with Premier Inc. in the category of Indoor Air Quality products.

In the last decade, UV-C installation has really become the standard in the healthcare sector, given its ability to be easily retrofitted, save money and energy, and inactivate those infection-causing microorganisms on HVAC surfaces and airstreams.

“This campus has been designed to create a culture of collaboration and sustainability with our OpenBlue digital platform at the core of its design,” said Vijay Sankaran, chief technology officer at Johnson Controls.

Lennox Industries plans to increase prices on residential equipment and accessories by up to 10% beginning Monday, Feb. 5.

Allied Air Enterprises is planning to raise prices on residential products by as much as 10% and on commercial products by as much as 12%.

At a national gathering of energy efficiency leaders, Midea introduced its newest heat pump technologies and took part in important discussions on accelerating the adoption of sustainable HVAC solutions across the U.S.

HVACR innovations present and past characterized the MARS booth at the recent AHR Expo in Las Vegas.

The decarbonization trend has spurred the development of new cooling equipment technologies that often use humidity control to increase efficiency and reduce emissions.