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Relaciones entre los elementos de un polígono hiperbólico

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.




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DoD Awards New CHIPS Funds To Microelectronics Commons Hubs

The Defense Department last Friday said it has awarded $148 million that will go to its eight regional hubs under a program designed to bolster domestic microelectronics innovation and production. […]



  • Advanced / Transformational Technology

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Dec 8 - Classroom Activity Types and Their Relationship to Cognitive Discourse Functions

Kobe JALT (Kobe Chapter of the Japan Association for Language Teaching). December 8 (Sun), 14:00-15:30 in Kobe, Hyogo. Stephen McNamara (Kwansei Gakuin University).




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LL9 - Principles of Movement at Joints in the Lower Limb

The ninth in our series on the lower limb is on the Principles of Movement at Joints in the Lower Limb.
See our website for accompanying diagrams




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EPA Issues Highly Anticipated Rule on HFC Phasedown

EPA issued a final rule establishing a comprehensive program to cap and phase down the production and consumption of climate-damaging HFCs in the United States.




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Study Anticipates $185.4 Billion Market

This market is anticipated to grow with 5.9 percent compound annual growth rate during the forecast time period. Surge in the use of energy-efficient devices is expected to drive the growth of the global HVAC system market.




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Hawaiian Association Opens Scholarship Applications

The Contractors Association of Kauai (CAK is offering multiple scholarships to Kauai residents seeking a career in a construction-related field of study.




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The One-Degree Principle

The key is to adjust your set point slowly and focus on progress, not perfection. Don’t try to add 100°F all at once; you’ll burn out.




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Navien Starts Shipping New NPF Hydro-furnace

The NPF Hydro-furnace, Navien Inc.'s first HVAC product, claims an annual fuel utilization efficiency of 97% and can be outfitted to burn either natural gas or liquid propane.




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Trane to Adjust Prices on Residential HVAC Equipment

The residential division at Trane Technologies announced that some prices will go up by as much as 5% while others will decrease or remain unchanged. The adjustments take effect in January.




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WaterFurnace to Hike Prices of Commercial Equipment

The move is a reaction to rising refrigerant and overall logistical costs, and the increases will take effect Jan. 1, 2024, a press release from WaterFurnace said.




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Lennox to Increase Prices on Residential Equipment

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





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Elevating HVAC Excellence: A Proactive Approach to Customer Relationships

The foundation of success for HVAC pros lies in establishing client relationships, recognizing that being the initial point of contact during times of need is paramount.




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IPEX: PVC Pipe

The System 1738 PVC Product Line is a flue gas venting plumbing and mechanical solution certified to the stringent UL 1738 standard, a development for gas-fired water heaters, furnaces, and boilers. 




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Carrier and Bryant Distributors Invest More than $500,000 in Scholarships

Carrier and Bryant have announced the recipients of the Distributors’ Education Foundation scholarship for the 2024-2025 school year.




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New Milwaukee Tool Mississippi Factory is its Largest in U.S.

The new Milwaukee Tool factory in Grenada County, Mississippi, will employ more than 800 people and is Milwaukee’s eighth location in Mississippi. It is also the company’s largest manufacturing facility in the U.S.




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Tips for Improving Boiler Efficiency, Reducing Operating Costs, and Keeping Your Boiler Room Safe

As one of the larger contributors to a facility’s expenses, it is critical to incorporate preventative measures into regular maintenance and cleaning plans for boilers.




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Harsh Environments Are Tough on Refrigeration Equipment

High temperature fluctuations, foot traffic, dirt and debris, and more can wreak havoc on units, particularly if they are not well maintained.




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Malco Products Brings Manufacturing to Former VISE-GRIP Nebraska Factory

Seven of the new full-time employees hired to start up operations previously worked at the VISE-GRIP factory. Malco plans to add jobs as production increases.




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Aquatherm Pipe Brings Comfort to Condominium Residents

“We put together some sections of 2 ½-inch pipe, and Joe tried to drive a nail through them with a hammer. I remember him reporting back and saying, ‘This is not your typical plastic.’”




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Five Tips to Get More HVAC Traffic from Google Local

Here, I provide actionable tips you can handle yourself, or you can hold your SEO company accountable for these.




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Four Tips to Avoid Losing an HVAC Sale

As contractors, we wonder constantly: From quote to quote, why did we win this job but lose that one?




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HVAC Marketing Tips for 2019

These simple HVAC marketing tips will strengthen your position in your local community.




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Tips to Cultivate HVAC Business in the Slower Season

Our heating and air business has to keep generating revenue even when the weather is not cooperating.




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Tips for Investing in Your HVAC Company's Environmental Sustainability

With finite resources, operators everywhere should be spending smartly to enhance the “green” sustainability of their operation.




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NADCA Offers Technical Conference Scholarships

The National Air Duct Cleaners Association's 2023 Fall Technical Conference is scheduled for September 7-9 in Grapevine, Texas, near Dallas. Those in the field who have not attended before can apply for a scholarship.




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Daley PWS Offers IP Targeting Marketing for HVAC Companies

Through patented technologies, advertisers can precisely target households online using banner ads, display ads, and video.




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ABC and Autodesk Sign Strategic Partnership Deal

Associated Builders and Contractors (ABC) and Autodesk, a leading global 3D design and engineering software company, have announced a strategic partnership to enable construction professionals to work smarter by harnessing digital solutions to increase productivity, reduce redundancy, and eliminate waste.




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2 Tips for Your Building Ventilation Strategy

Airflow takes the path of least resistance through buildings, often leaving much of the air stagnant and unaffected. A new IAQ strategy is needed.




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Residential HVAC Equipment Designed With Contractors in Mind

Lennox’s SL280NV Ultra Low NOX gas furnace was built to address a market need in the South Coast and San Joaquin air quality districts in California, which require the reduction of emissions to 14 nanograms of NOX per joule.




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Cleaning, Sanitizing Ice Machines Ensures Long Equipment Life

In contrast to many other countries around the world, Americans consume a lot of ice. That’s probably why ice machines are found virtually everywhere here, from convenience stores and supermarkets to hotels and hospitals. It doesn’t really matter what shape it takes — cubes, flakes, nuggets, chips, etc. — but it does have to look and taste good.




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Sip a Smoothie While Researching Reach-Ins, Coolers, and Ice Makers

Refrigeration contractors who have not yet attended the annual National Restaurant Association (NRA) show really need to put it on their bucket lists. For four days each year, McCormick Place convention center is filled to the rafters with vendors exhibiting everything from gluten-free pasta to pizza ovens to high-tech ice machines.




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Energy-Efficient Options for Refrigeration Equipment

Emerson spent more than three years researching and designing its 2018 Dealer Design Award gold-winning product in the Refrigeration and Ice Machines category.




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HVACR Contractors Can Learn a Ton from Equipment Cooling Capacity Tables

Don’t assume equipment capacity or conditions. Instead, do some digging and find the tables for the equipment you install and service.




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Tips for HVAC Contractors Working With Sheet Metal

While some contractors fabricate sheet metal in-house and others outsource that work, both groups can benefit from a few best practices.




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Five Tips to Improve Your Flexible Duct Installations

Many in our industry believe the duct material used in an installation determines how well the HVAC system moves air. The issue isn’t the material type, it’s how we install the product.




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Maryland Announces Five New Apprenticeship Programs

These new programs and reactivations include occupations such as machinist, HVACR technician, electrician, plumber, cement mason, ironworker, operating engineer, and a new occupation in certified cyber analyst operator.




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Last Call For R-410A Equipment? Maybe Not

HVAC manufacturers are prepared for the refrigerant transition to A2Ls but are finding that there is still strong demand for R-410A equipment.




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2024 Top Women in HVAC: Heather Ripley

Women entering the trades as technicians must overcome the perception that they aren’t strong enough or mechanically inclined enough to be a service tech. Even though women have worked in the skilled trades industry for decades, there is still a stigma about women working as HVAC technicians, plumbers, or electricians.




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New CEO Continues Tradition of Family Leadership at Nibco

Ashley Martin joined Nibco in 2012 and most recently served as president and COO since 2023. Before that, she held the position of executive vice president.




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New Leadership at Worthington Building Products

Warren Patterson was named global vice president of enterprise development, and Tiago Oliveira was named global vice president of product development, for the Building Products division at Worthington Enterprises Inc. In addition, the division organized a Europe, Middle East, and Africa (EMEA) leadership team.




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Eight Quick Tips for Electronic Leak Detection

Electronic leak detection is a very common sources of misdiagnosis. Here are tips to make your leak detection more successful.




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Best Practices, Tips, Tricks for Using Leak Detectors With Confidence

Before you can fix a leak, you need to find it. That’s where leak detectors come in.




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Carbon Monoxide Detectors Serve Multiple Purposes

According to the Centers for Disease Control (CDC), accidental CO poisoning is the cause of approximately 50,000 emergency room visits and more than 400 deaths each year in the U.S.




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New Refrigeration Equipment Designed to Keep Its Cool

Manufacturers are rolling out a wide array of new equipment that utilizes all types of refrigerants, providing end users with a number of new options to consider.




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Nor-Lake: Refrigeration Equipment

These products have refrigerator and freezer model selections including both swing and slide door refrigerators and swing door freezers.




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Portable HVAC Equipment Helps Customers Keep Their Cool

Portable cooling systems work well as temporary solutions and can also serve as long-term options for unconditioned spaces like factories and warehouses.




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Mitsubishi Electric Trane HVAC US Appoints New CFO, Realigns Leadership Team

Andy Kelso was named COO; Shane Lawrence, CFO; Brinnon Williams, vice president of residential business; and David Archer, vice president of commercial business.




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Wait Times for Replacement Equipment, Need for Increased Cooling Driving Demand for Portable HVAC

Increased cooling capacities, remote monitoring technology, and the need for backup units are all part of the mix in the portable a/c market, experts say.




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Enter to Win a Trip to the Sixth Annual RIDGID Experience 2023

RIDGID will select six winners for a VIP experience at its global headquarters.