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It was an ancient Greek kingdom. Ancient sources support this fact; Herodotus himself said that the Macedonians were Dorians in two exceprts of his Histories Books (1.56 and 8.43). [1][2]Many ancient sources support the fact that ancient Macedonians were Greeks. [3]Proof of the fact that ancient Macedonians were Dorians was covered elsewhere inside Quora, consisting in summary of Macedonians having:a) Greek language, which was a doric dialect as proven by artifacts [4][5] and linguistic evidence. [6]b) Greek names, which were all of Greek origin with the exception of a handful of names considered as loans. [7]c) Greek symbols, such as the Sun of Vergina, which was used by the other Greeks before the ancient Macedonians used it. [8][9]d) participation in Pan-Hellenic Games, where no foreigners were allowed. Many Macedonians participated, starting from Alexander I. [10]e) they used Greek toponyms (e.g. Thessalonike),f) they worshiped Greek heroes (e.g. Achilles, Hercules),g) they used a calendar using Greek months. [11]h) they believed in the Greek gods and had Greek customs.i) they listened to Greek theater (e.g. Euripides at Pella has been well-documented). [12]j) they even called themselves Greek and they never called themselves non-Greek. [13] In fact, they would call non-Greeks as barbarians, just like the rest of the Greeks did (e.g. when Philip V saw the Roman camp.[14]k) Even foreigners called them Greek (e.g. Yauna takabara by the Persians). [15]There were some minor differences of course with the other Greeks, but all Greek tribes differed from one another to various degrees. [16]But hey, if it looks like a duck, swims like a duck, quacks like a duck, then it’s gotta be a duck.Footnotes[1] Dimitris Dervenis's answer to Why do some people think that ordinary ancient Macedonians were not Greek? Herodotus (Book 1.56) says that they were Dorians, i.e. Greeks ("…they settled, under the name of Macedni, in the chain of Pindus. … they became known as Dorians"[2] Dan Houser's answer to Who were the Macedonians mentioned in Herodotus Book 8.43?[3] Macedonians were Greeks[4] Macedonian archaeology[5] Dimitris Dervenis's answer to What archaeological artifacts prove that ancient Macedonian common folk spoke Greek prior to the era of Alexander the Great?[6] Dimitris Dervenis's answer to Is there linguistic evidence suggesting if the Ancient Macedonians spoke a Greek dialect or barbarian?[7] Dimitris Dervenis's answer to What do the names of Alexander's Marshalls mean in the modern 'Macedonian' language?[8] The Vergina sun[9] Dimitris Dervenis's answer to When did the Greek state add the Macedonian Sun to its national state flag? What was the date?[10] Dimitris Dervenis's answer to Did only ancient Macedonian royalty participate in the Olympics?[11] Ancient Macedonian calendar - Wikipedia[12] Pella - Wikipedia[13] Dimitris Dervenis's answer to Did Ancient Macedonians consider themselves Greek? And if Ancient Macedonia was Greek, why did they conquer Greece?[14] Dimitris Dervenis's answer to Why did Philip V of Macedon call the Romans 'barbarians' (Livy 31.34.4-9)?[15] The Yaunã takabara and the ancient Macedonians[16] Dimitris Dervenis's answer to How were ancient Macedonians distinct from other ancient Greeks?

Anything is allowed as long as you understand what you’re doing and what it means. Squaring both sides of an equation is an excellent example of the asymmetric nature of equation manipulation: it’s not quite “allowed”, in the sense that it can often introduce wrong solutions on top of the correct ones. Use it with care and use it well.The reasoning is, really, very simple:If [math]a=b[/math] then [math]a^2=b^2[/math].Make sure you see why that’s true: if two things are equal, then multiplying each by itself retains the equality. For example, since [math]7=7[/math], it’s also true that [math]7^2=7^2[/math]. Right? You see, we aren’t multiplying the two sides by different values, we’re multiplying them by the same value, since the equation says precisely that the two sides are the same thing.However.If [math]a^2=b^2[/math] then either [math]a=b[/math] or [math]a=-b[/math].It is not true that from [math]a^2=b^2[/math] you can infer that [math]a=b[/math]. For example, [math](-7)^2=7^2[/math], and certainly [math]-7 \neq 7[/math].When you are manipulating equations, you must think about the logical flow of your actions. You typically start with a complicated equation, like [math]\sqrt{x}=x-6[/math], and you end up with something simple, like [math]x=9[/math]. Both of these things are actually equations, though the second one is so simple it looks like a solution, rather than like a question to be solved. But it’s still an equation: it says that [math]x[/math] equals [math]9[/math].But what’s the connection between the original equation and the final equation? You started with the original and you did all kinds of manipulations; some of those manipulations are equivalences, which mean that what you had before and what you had after say the exact same thing. Some are not. You must be aware of what you’re doing.Transforming A) [math]x-5=x^2-1[/math] to B) [math]x-4=x^2[/math] is an equivalence. You added [math]1[/math] to both sides, so if [math]x[/math] makes A true, it will still make B true, and if it makes B true, it will still make A true. In other words, A and B say the exact same thing.Squaring isn’t like that. Because different things can become equal after squaring, the “before” and “after” equations aren’t equivalent. The squared equation is more permissive: it will always have all the solutions of the original, but it may well have additional, extraneous ones. You must check that.For example, if you’re asked to solve [math]\sqrt{x}=x-6[/math], squaring gives you [math]x=(x-6)^2[/math]. This equation has two solutions: [math]x=4[/math] and [math]x=9[/math]. Let’s check them: does [math]x=4[/math] work? No, because it makes the equation look like [math]\sqrt{4}=-2[/math]. Those two things are only equal if we ignore signs, but we can’t ignore them since [math]\sqrt{}[/math] is understood as the positive square root of a number. So [math]x=4[/math] is not an actual solution of the original equation: it was introduced as an artifact of squaring. The solution [math]x=9[/math], on the other hand, works fine.This is really all there is to it.

The dam - a product of Nasser and his Soviet allies, none of whom cared a jot for history and even less for Nubians - wiped Nubia off the map. Some was famously moved, like her people, and the rest abandoned, underwater.Guide to the Nubian monuments on Lake NasserJocelyn GoharyAmerican Univ. in Cairo Press, 1998An update:Hope for the Egyptian Nubians damned by the dam | Khaled DiabTo answer the Question here, we must take into account the infrared, photographic surveys by satellite, that show a whole, new, ancient Egypt.John Bartram's answer to How much have the ruins of ancient Egypt been uncovered?Archaeology:Archaeological expeditions to Nubia - WikipediaAn expedition of three including Professor J.H.Breasted occurred in November 1905.[1] Later Chicago University expeditions occurred in the seasons 1962-63 and 1963–64 ; excavations between Abu Simbel and the Sudan border.[2][3] The Coxe expeditions occurred in 1907-10, under the direction of D.R.McIver and L.Wooley. A later joint expedition with the Peabody Museum of Natural History, sought to protect artifacts from rising water level's as a result of the building of the Aswan Low Dam.[4][5] Colorado University expeditions occurred during 1963-64. Site 6-B-36 located in the proximity of Wadi Halfa is identified as a cemetery complex. The site activity ranged from 2 to 5 kilometres North of the Wadi.[6] The university excavated cemeteries of Meroitic, X-Group,[7]and Christian (Armelegos 1968).[8][9] Site 24-V-13 located at Argin village is documented as containing objects of ceramic industry.[10] Michigan University studied the people of the villages of Abu Simbel and Ballana from 1966 - 1986 onward.[11] The Tombos expedition led by Stuart Tyson Smith (UCSB) occurred during 2000.[12]This is quite recent:Survey & ExcavationsTombos ExcavationIn 2000, Dr. Smith led an archaeological expedition to Tombos in Sudanese Nubia. Smith and his team uncovered the 3500 year old pyramid tomb of an ancient Egyptian colonial administrator named Siamun and his wife Wernu, along with the remains of contemporary burials of middle class Egyptians or Egyptianized Nubians. The mummified colonists were equipped with coffins, Ushabti figurines, scarabs, amulets and earrings of ivory, faience, glass, jasper and carnelian, ebony tubes and applicators for kohl eye-paint, an ebony boomerang for bird hunting, and numerous pots for food offerings, including two extremely rare Mycenean jars.One of the Mycenean flasks:So we have lost most, but at least we’re still looking.