THE A TO ZZZZZ; HOW TO LEAVE YOUR WORRIES ON THE PILLOW as the Clocks Go Back, 10 Tips to Help You Get a Better Night's Rest - Daily Record (Glasgow, Scotland) Isomorphism. The group of fifth roots of unity under multiplication is isomorphic to the group of rotations of the pentagon under composition. In mathematics, an isomorphism, from the Greek: ἴσος isos "equal", and μορφή morphe "shape", is a homomorphism (or more generally a morphism) that admits an inverse. [note 1] Two mathematical objects are isomorphic if an isomorphism exists between them. An automorphism is an isomorphism whose source and target coincide. The interest of isomorphisms lies in the fact that two isomorphic objects cannot be distinguished by using only the properties used to define morphisms; thus isomorphic objects may be considered the same as long as one considers only these properties and their consequences.
In topology, where the morphisms are continuous functions, isomorphisms are also called homeomorphisms or bicontinuous functions. Isomorphisms are formalized using category theory. Examples[edit] Logarithm and exponential[edit] Let be the additive group of real numbers. For all. Tidal locking. Tidal locking results in the Moon rotating about its axis in about the same time it takes to orbit Earth. Except for libration effects, this results in the Moon keeping the same face turned towards Earth, as seen in the figure on the left. (The Moon is shown in polar view, and is not drawn to scale.) If the Moon were not spinning at all, it would alternately show its near and far sides to Earth, while moving around Earth in orbit, as shown in the figure on the right. Mechanism[edit] The change in rotation rate necessary to tidally lock a body B to a larger body A is caused by the torque applied by A's gravity on bulges it has induced on B by tidal forces. Tidal bulges[edit] A's gravity produces a tidal force on B that distorts its gravitational equilibrium shape slightly so that it becomes elongated along the axis oriented toward A, and conversely, is slightly reduced in dimension in directions perpendicular to this axis.
Bulge dragging[edit] Resulting torque[edit] Orbital changes[edit] where. Lie group. E8 (mathematics) 248-dimensional exceptional simple Lie group In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8. The E8 algebra is the largest and most complicated of these exceptional cases.
Basic description[edit] The Lie group E8 has dimension 248. Therefore, the vectors of the root system are in eight-dimensional Euclidean space: they are described explicitly later in this article. There is a Lie algebra Ek for every integer k ≥ 3. Real and complex forms[edit] There is a unique complex Lie algebra of type E8, corresponding to a complex group of complex dimension 248. E8 as an algebraic group[edit] Constructions[edit] . Lee Smolin. Lee Smolin (/ˈsmoʊlɪn/; born 1955) is an American theoretical physicist, a faculty member at the Perimeter Institute for Theoretical Physics, an adjunct professor of physics at the University of Waterloo and a member of the graduate faculty of the philosophy department at the University of Toronto.
He is married to Dina Graser, a lawyer and public servant in Toronto. His brother is law professor David M. Smolin. Smolin is best known for his contributions to quantum gravity theory, in particular the approach known as loop quantum gravity. Early life[edit] Smolin was born in New York City. Education and career[edit] Theories and work[edit] Loop quantum gravity[edit] Background independent approaches to string theory[edit] Between 1999 and 2002, Smolin made several proposals for the still open question of giving a fundamental formulation of string theory that does not depend on approximate descriptions involving classical background space-time models. Experimental tests of quantum gravity[edit] Attachment-1. The-sun.gif 512×512 pixels. Attachment-1. NASASDO171_1111111111.jpg 640×640 pixels. 10 WORST "HEALTH" FOODS. THE 10 BEST FAT LOSS SNACKS. Fennel seed nutrition facts and health benefits.
Sweet, anise-flavored fennel seed together with thyme, nettle, mugwort, etc., has been revered as one of nine Anglo-Saxon sacred herbs for its health benefits. The spice is one of the most sought-after ingredients in many popular cuisines all over the Mediterranean regions. Fennel is a perennial herb plant belong to parsley or Umbelliferae family, a broad family of herbs and spices, which includes some common members such as caraway, dill, anise, cumin…etc.
Scientific name of fennel isFoeniculum vulgare var. dulce. Fennel is native to Southern Europe and grown extensively all over Europe, Middle-Eastern, China, India, and Turkey. This herbaceous plant reaches up to 2 meters (about 6 feet) in height with deep green feathery (lacy) leaves and bears golden-yellow flowers in umbels. In general, fennel seeds are harvested when the seed heads turn light-brown. In general, seeds are harvested during early hours of the day to avoid spilling of seeds on the ground. Health benefits of fennel seeds. The Doctor | Entheogenesis Australis. ACID - Active Conscience Interdiction Dimension LSD - Logical Stewardship Domain GOV - Governance Orchestral Vector GOD - Granularity Of Donation CVS - Chomsky Vector Space AUM - Active Understanding Matrix TASSACH - The Altered Shulgin Scale And Conceptual Hallucinogens QIQ - Quite Interesting Questions EC2C - Error Correcting Clarifying Concept CHOMSKY - Conscience Heuristic Obligation Managing Society Knowledgeably Yourself THORS - Totality Holistic Origination Responsibility Stewardship MDMA - Multi-Dimensional Modal Agency HAMMER - Heart Activating Mind Manifesting Entheogenesis Reifer Abstract: This Class-A (A for Acronymic) compound conceptual hallucinogen is designed to significantly potentiate and modulate the chemical psychedelic experience to produce non-trival entheogenic qualia in the experiencer.
It is a non-delusional, fully psychedelic, pure textual entheogen. Previous Presentations: 1. 2. 3. Franck Goddio: Projects: Sunken civilizations: Heracleion. With a unique survey-based approach that utilises the most sophisticated technical equipment, Franck Goddio and his team, in cooperation with the Egyptian Supreme Council of Antiquities, were able to locate, map and excavate parts of the city of Thonis-Heracleion, which lies 6.5 kilometres off today’s coastline. The city is located within an overall research area of 11 by 15 kilometres in the western part of Aboukir Bay at a depth of approx. 10 metres. Research started in 1996. It took years to map the entire area. First discoveries could be made in 2000. Franck Goddio has found important information on the ancient landmarks of Thonis-Heracleion, such as the grand temple of Amun and his son Khonsou (Herakles for the Greeks), the harbours that once controlled all trade into Egypt, and the daily life of its inhabitants.
The port of Thonis-Heracleion had numerous large basins and functioned as a hub of international trade. Imhotep. Statuette of Imhotep in the Louvre Chancellor of the King of Egypt, Doctor, First in line after the King of Upper Egypt, Administrator of the Great Palace, Hereditary nobleman, High Priest of Heliopolis, Builder, Chief Carpenter, Chief Sculptor, and Maker of Vases in Chief. He was one of only a few commoners ever to be accorded divine status after death. The center of his cult was Memphis. From the First Intermediate Period onward Imhotep was also revered as a poet and philosopher. His sayings were famously referenced in poems: "I have heard the words of Imhotep and Hordedef with whose discourses men speak so much. Attribution of achievements and inventions[edit] Architecture and engineering[edit] Pyramid of Djoser Medicine[edit] Imhotep was an important figure in Ancient Egyptian medicine. Descriptions of Imhotep by James Henry Breasted et al 'Imhotep extracted medicine from plants.' 'Imhotep was portrayed as a priest with a shaven head, seated and holding a papyrus roll.
Deification[edit] Types of Human Memory. Memory is the retention of information over time. Although the word memory may conjure up an image of a singular, “all-or-none” process, it is clear that there are actually many kinds of memory, each of which may be somewhat independent of the others. One way to describe memory is by reference to the form it takes, that is, the different ways memory may be assessed: recall, recognition, and paired associates. The most popularly studied kind of memory is recall.
Recollection of a telephone number you have just heard, a list of items you are to purchase at the store, or a list of dates you learned in history class are all examples of recall. A second type of memory is recognition, which is generally easier than recall, for example a history teacher gives four dates and learners are to choose the one that goes with the specific historical event. People often underestimate just how powerful their recognition memory is. Another kind of memory is called paired associates. Types of Memory. What we usually think of as “memory” in day-to-day usage is actually long-term memory, but there are also important short-term and sensory memory processes, which must be worked through before a long-term memory can be established.
The different types of memory each have their own particular mode of operation, but they all cooperate in the process of memorization, and can be seen as three necessary steps in forming a lasting memory. This model of memory as a sequence of three stages, from sensory to short-term to long-term memory, rather than as a unitary process, is known as the modal or multi-store or Atkinson-Shiffrin model, after Richard Atkinson and Richard Shiffrin who developed it in 1968, and it remains the most popular model for studying memory.
It is often also described as the process of memory, but I have used this description for the processes of encoding, consolidation, storage and recall in the separate Memory Processes section. In this section: Bing. Bing. 5000 Year Old Tomb Of Imhotep Found ? Krav Maga Indianapolis | Krav Maga Experts. Sprite (lightning) First color image of a sprite, taken from an aircraft. Sprites are large-scale electrical discharges that occur high above thunderstorm clouds, or cumulonimbus, giving rise to a quite varied range of visual shapes flickering in the night sky. They are triggered by the discharges of positive lightning between an underlying thundercloud and the ground. Sprites appear as luminous reddish-orange flashes.
They often occur in clusters within the altitude range 50–90 km (31–56 mi) above the Earth's surface. Sporadic visual reports of sprites go back at least to 1886, but they were first photographed on July 6, 1989 by scientists from the University of Minnesota and have subsequently been captured in video recordings many thousands of times. A sprite seen from ISS. Different types of electrical phenomena in the atmosphere. Three types of sprites have been categorized by Matthew 'Geoff' McHarg Ph.D. This footage from the ISS shows a red sprite over East Asia at around 0:06. Krav Maga - The Best Defense. Solutrean. Homo Sapiens in Europe: Solutrean distribution map (blue dots are the principal areas of Solutrean industry) The Solutrean toolkit includes the world's earliest identifiable sewing needles. The Solutrean industry is a relatively advanced flint tool-making style of the Upper Palaeolithic, from around 22,000 to 17,000 BP.
Details[edit] The term Solutrean comes from the type-site of "Crot du Charnier," dating to around 21,000 years ago and located at Solutré, in east-central France near Mâcon. The Solutré site was discovered in 1866 by the French geologist and paleontologist Henry Testot-Ferry (second son of Napoleon's famous cavalryman, General Claude Testot-Ferry, Baron of the Empire). The industry was named by Gabriel de Mortillet to describe the second stage of his system of cave chronology, following the Mousterian, and he considered it synchronous with the third division of the Quaternary period. Solutrean hypothesis in North American archaeology[edit] See also[edit] References[edit]
Skin Tags: Removal and Skin Tag Facts. How to Get Rid of Skin Tags: 12 Steps (with Pictures) Edit Article Edited by LuvLuvMangoCat, Teresa, Nicole Marie, BR and 29 others Two Methods:Doctor-Recommended AdviceUnverified Home Remedies Skin tags are little flaps of tissue that adhere to parts of your neck, underarms, eyelids, groin folds, or under breasts. Although they may look a little strange, they often do not hurt and pose no known medical problem. (For these reasons, doctors often recommend not treating them.) If, however, you want to remove your skin tags because you view them as unsightly, there are a number of ways to remove them, both at home and by visiting the doctor. Ad Steps Method 1 of 2: Doctor-Recommended Advice 1Allow the skin tags to go untreated if tags aren't bothersome. 4Try not to let skin tags get irritated.
Method 2 of 2: Unverified Home Remedies 1Apply a cream to the skin tag. 8Fight the skin tag with tea tree oil. Tips Clean area with hydrogen peroxide, blot dry then cover with an adhesive bandage.Don't be too harsh. Skin Tag Removal in 15 Mins @ Home! How Not To Be Wrong: The Power of Mathematical Thinking. Page 10 of Jordan Ellenberg’s How Not To Be Wrong: The Power of Mathematical Thinking is an editor’s nightmare.
Equations, inequality signs, fractions, algebra, calculus. If it’s true that sales decrease as the number of mathematical notations increase, then Ellenberg’s second book might be a dud. But fear not—Ellenberg is merely illustrating what a book about math should avoid. “No formal math beyond arithmetic will be required, though lots of math way beyond arithmetic will be explained.” Two ideas stuck after I finished How Not To Be Wrong: The Power of Mathematical Thinking. Is performance in business also subject to regression toward the mean effects? Full article via 250words.com More from the book below How Not To Be Wrong: The Power of Mathematical Thinking by Jordan Ellenberg How Not To Be Wrong: The Power of Mathematical Thinking – Description The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands.
How to deal with insomnia to get a good night's sleep. There's nothing like a good night's sleep, but millions of people in this country struggle with insomnia, at least occasionally. They may have trouble falling asleep, staying asleep, or both. Insomnia can start with the challenge of trying to sleep in a loud hotel room, struggling with arthritis or dealing with a death in the family. And the current culture is contributing to the problem with people always tethered to work, tapping into computers, cellphones and social media late into the day, plus there's the economic stress from worries about raising families and affording retirement, sleep experts say.
An estimated 70 million Americans suffer from sleep problems, such as insomnia, sleep apnea, restless leg syndrome, shift-work sleep disorder or narcolepsy, as well as sleep disturbances associated with many diseases, mental illnesses and addictions, according to the National Center on Sleep Disorders Research, part of the National Heart, Lung and Blood Institute. • Anxiety. Ferdinand Verbiest. Giovanni Branca, Grandfather of the Industrial Revolution | The Italian Tribune. Ancient Discoveries Episode Guide - Season 2. Sea Shell Spirals.
Where have all the animals gone? Cognitive dissonance.