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Gold is a chemical element with the symbol Au (from the Latin word aurum) and the atomic number 79. In its pure form, it is a bright, slightly orange-yellow, dense, soft, malleable, and ductile metal. Chemically, gold is a transition metal, a group 11 element, and one of the noble metals. It is one of the least reactive chemical elements ...
The golden ratio's negative −φ and reciprocal φ−1 are the two roots of the quadratic polynomial x2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial.
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This is a list of the oldest living people who have been verified to be alive as of the dates of the cited supporting sources. It was estimated in 2015 that between 150 and 600 living people had reached the age of 110. The true number is uncertain, as not all supercentenarians are known to researchers at a given time, and some claims cannot be validated or are fraudulent.
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- Designation and Symbols
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- Fundamental Concepts
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A trademark identifies the brand owner of a particular product or service. Trademarks can be used by others under licensing agreements; for example, the Lego Group purchased a license from Lucasfilm to be allowed to launch Lego Star Wars. The unauthorized usage of trademarks by producing and trading counterfeit consumer goods is known as brand pira...
A trademark may be designated by the following symbols: 1. ™ (the "trademark symbol", which is the letters "TM" in superscript, for an unregistered trademark, a mark used to promote or brand goods) 2. ℠ (which is the letters "SM" in superscript, for an unregistered service mark, a mark used to promote or brand services) 3. ®(the letter "R" surround...
A trademark is typically a name, word, phrase, logo, symbol, design, image, or a combination of these elements. There is also a range of non-conventional trademarks comprising marks which do not fall into these standard categories, such as those based on colour, smell, or sound (like jingles). Trademarks that are considered offensive are often reje...
The essential function of a trademark is to exclusively identify the source or origin of products or services, so a trademark, properly called, indicates the source or serves as a badge of origin.[citation needed] In other words, trademarks serve to identify a particular entity as the source of goods or services.[citation needed] The use of a trade...
In trademark treatises it is usually reported that blacksmiths who made swords in the Roman Empire are thought of as being the first users of trademarks. Other notable trademarks that have been used for a long time include Stella Artois, which claims use of its mark since 1366, and Löwenbräu, which claims use of its lion mark since 1383. The first ...
Terms such as "mark", "brand" and "logo" are sometimes used interchangeably with "trademark". "Trademark", however, also includes any device, brand, label, name, signature, word, letter, numerical, shape of goods, packaging, color or combination of colors, smell, sound, movement or any combination thereof which is capable of distinguishing goods an...
Some law considers a trademark to be a form of property. Proprietary rights about a trademark may be established through actual use of that trademark in the marketplace or through registration of the mark with the relevant trademarks office (or "trademarks registry") of a particular jurisdiction. In some jurisdictions, trademark rights can be estab...
In the United States, the USPTO maintains a database of registered trademarks. The database is open to the public and is searchable via the Trademark Electronic Search System (TESS). As trademarks are governed by federal law, state law, and common law, a thorough search as to the availability of a mark and its image components is very important. Ma...
In most systems, a trademark can be registered if it can distinguish the goods or servicesof a party, will not confuse consumers about the relationship between one party and another, and will not otherwise deceive consumers concerning the qualities.
Trademarks rights must be maintained through actual lawful use of the trademark. These rights will cease if a mark is not actively used for a period of time, normally five years in most jurisdictions. In the case of trademark registration, failure to actively use the mark in the lawful course of trade, or to enforce the registration in the event of...
0 (zero) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division ...
The 2020 United States presidential election was the 59th quadrennial presidential election, held on Tuesday, November 3, 2020.[a] The Democratic ticket of former vice president Joe Biden and the junior U.S. senator from California Kamala Harris defeated the incumbent Republican president, Donald Trump, and vice president, Mike Pence.[9] The ...
Number built. 1,000+ [4] Developed from. Lockheed Martin X-35. The Lockheed Martin F-35 Lightning II is an American family of single-seat, single-engine, all-weather stealth multirole combat aircraft designed for air superiority and strike missions; it also has electronic warfare and intelligence, surveillance, and reconnaissance capabilities.
