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type: wikipedia

text:
Algebra ( (al-gabr) — 'apvienošana') ir viena no matemātikas pamatnozarēm. Algebra ir zinātne par kopām ar operācijām, kas zināmā mērā analogas darbībām ar skaitļiem. Algebrisku sistēmu piemēri ir grupas, lauki, vektoru telpas, gredzeni, struktūras.
 Vienkāršo algebru uzskata par būtisku pamatu jebkurai matemātikas pētīšanai, zinātnei vai inženierzinātnei, kā arī medicīnai un ekonomikai.
 Par abstrakto algebru sauc augstāko matemātiku, to galvenokārt pētījuši profesionāli matemātiķi. Daudzi senākie darbi algebrā, kā liecina arābu izcelsmes nosaukumi, tika radīti Tuvajos Austrumos. Šos atklājumus veikuši persiešu matemātiķi, piemēram, Al-Horezmī (780—850) un Omars Haijāms (1048—1131).
 Vienkāršā algebra atšķiras no aritmētikas ar to, ka tajā izmantotas abstrakcijas, piemēram, skaitļus aizstājot ar burtiem — gan nezināmos, gan izmantojot dažādas pieņemtas vērtības. Piemēram, x+2=5, burts “x” ir nezināmais, bet, izmantojot pretēju darbību, var iegūt “x” vērtību: x=5-2; x=3. Izteiksmē E=mc2, apzīmējumi “E” un “m” ir mainīgie, bet apzīmējums “c” ir konstanta vērtība — gaismas ātrums vakuumā.
 Algebra rada metodes, lai atrisinātu vienādojumus un izteiktu formulas, kas būtiski atvieglo matemātiskus aprēķinus.
 Vārdu “algebra” izmanto arī citos veidos, piemēram, īpašā matemātisko objektu veidā abstraktajā algebrā, kur vārdu “algebra” izmanto lineārajā algebrā un topoloģijas algebrā.
 Etimoloģija
 Vārds “algebra” nāk no arābu valodas (لْجَبْرْ (al-gabr)). Vārds ienāca angļu valodā 15. gadsimtā no spāņu, itāļu vai viduslaiku latīņu valodas. Vārds “algebra” sākotnēji attiecās uz ķirurģiskām procedūrām. Pirmo reizi matemātikā šis vārds parādījās 16. gadsimtā.
 Algebras saknes sniedzas līdz senajiem babiloniešiem, kuri izstrādāja moderno aritmētisko sistēmu, ar kuras palīdzību viņi varēja veikt aprēķinus algoritmiskā veidā. Babilonieši izstrādāja formulas, lai atrastu risinājumu problēmām, kuras šodien risina izmantojot lineāros vienādojumus, kvadrātvienādojumus un nenoteiktos lineāros vienādojumus. Turpretī lielākā daļa ēģiptiešu šajā laikmetā, kā arī vienu gadu tūkstoti pirms mūsu ēras Grieķijas un Ķīnas matemātikā, šādus vienādojumus risināja ar ģeometrijas metodēm.
 Līdz Platona laikam, grieķu matemātiķi bija ieviesuši lielas pārmaiņas. Grieķi radīja ģeometrisko algebru, kurā termini bija apskatīti no ģeometrisko priekšmetu puses, parasti līnijas, kuras bija asociētas ar burtiem.
 Diofants (3. gs.m.ē.) bija Aleksandrijas grieķu matemātiķis un autors sēriju grāmatām — “Aritmētika”. Šie teksti skaidroja, kā risināt algebriskus vienādojumus, un tajā skaidroti jēdzieni, sākot no skaitļu teorijas līdz Diofanta vienādojuma modernajam jēdzienam.
 Persiešu matemātiķis Muhamads ibn Musa Al-Horezmī (780—850) sarakstīja grāmatu “Īsa pamācība rēķināšanā, izmantojot līdzsvarošanu un pabeigšanu”, kurā aprakstīja algebru kā matemātikas mācību, kas ir neatkarīga no ģeometrijas un aritmētikas.
 Hellēnisma matemātiķi Hērons un Diofants, kā arī indiešu matemātiķis Brahmagupta turpināja Ēģiptes un Babilonijas tradīcijas. Piemēram, atklājot pirmo pabeigto aritmētisko risinājumu (iekļaujot nulles un negatīvo atrisinājumu) kvadrātvienādojumam, ko bija aprakstījis Brahmagupta savā grāmatā “Pareizi definēta Brahmas mācība”. Vēlāk persiešu un arābu matemātiķi attīstīja algebriskās metodes daudz augstākā pakāpē.
 Al-Horezmī ieguldījums bija nozīmīgs. Viņš atrisināja lineāros un kvadrātvienādojumus bez algebriskiem simboliem, negatīviem skaitļiem vai nulles, tādējādi viņam bija jāatšķir vairāki vienādojuma veidi.
 Kontekstā, kur algebra ir identificēta ar vienādojumu teoriju, grieķu matemātiķis Diofants bija labi zināms kā “algebras tēvs”, taču pēdējā laikā notiek diskusijas par to, vai Al-Horezmī, kurš atklāja algebras mācību, nav pelnījis šo titulu. Tie, kuri atbalsta Diofantu, uzskata, ka algebru atklāja aritmētika, kura ir mazliet elementārāka nekā algebra. Toties tie, kuri atbalsta Al-Horezmī, norāda, ka viņš ieviesa samazināšanas un saīsināšanas metodi. Termins “algebra” sākotnēji attiecās uz to, ka viņš deva izsmeļošu kvadrātvienādojuma risināšanas izskaidrojumu, izmantojot ģeometriskos pierādījumus, vienlaikus uztverot algebru kā neatkarīgu mācību.
 Persiešu matemātiķis Omars Haijāms, kuru uzskata par algebriskās ģeometrijas dibinātāju, atklāja vispārīgo kubisko vienādojumu ģeometrisko risinājumu. Viņa grāmata “Traktāts par algebras problēmu demonstrēšanu” (1070), kura ietver algebras principus, ir daļa no persiešu matemātiķu atklājumiem, ar kuriem tika iepazīstināta Eiropa. Vēl cits persiešu matemātiķis Šarafs Al-Dīns Al-Tusī radīja algebriskus un skaitliskus risinājumus dažādiem kubiskiem vienādojumiem. Viņš arī uzlaboja funkcijas jēdzienu. Indiešu matemātiķi Mahavira un Baskara II, persiešu matemātiķis Al-Harajī un ķīniešu matemātiķis Žu Šijie risināja dažādus trešās kārtas, ceturtās kārtas un augstākas kārtas polinomu vienādojumus, izmantojot skaitliskās metodes.
 13. gadsimtā - pašā atmodas sākumā - Fibonači pārstāvēja Eiropas algebru, parādot trešās kārtas vienādojuma risināšanu. Tā kā islāma pasaule samazinājās, eiropiešu pasaule auga, tādēļ algebra Eiropā turpināja attīstīties.
 Algebras vēsture
 Itāļu matemātiķis Džerolamo Kordano publicēja risinājumus vienādojumiem savā grāmatā “Par smalkām lietām”, 1545.gadā. 16. gadsimta beigās Fransuā Vjeta darbs par jauno algebru bija svarīgs solis pretī modernajai algebrai.
 1637. gadā, Renē Dekarts publicēja grāmatu “Ģeometrija” ieviešot analizējošo ģeometriju un iepazīstinot ar moderno algebru.
 Vēl viens galvenais notikums turpmākajā algebras attīstībā bija vispārējā algebriskā kvadrātvienadojuma un piektās pakāpes vienādojuma risināšanas attīstība 16. gadsimta vidū.
 Japāņu matemātiķis Seki Kāva attīstīja noteicēja ideju 17. gadsimtā, bet 10 gadus vēlāk neatkarīgi Gotfrīds Leibnics izmantoja matricas, lai atrisinātu sinhronus lineāros vienādojumus.
 Gabriels Krāmers arī veica darbus saistībā ar matricām un noteicējiem 18. gadsimtā.
 Jozefs — Luiss Langranžs pētīja permutācijas savā zinātniskajā darbā 1770. gadā. Lai risinātu algebriskus vienādojumus, viņš radīja Langranža teorēmu.
 Pauls Rufīnī bija pirmais, kurš radīja permutācijas grupas teorijai un tāpat kā viņa priekšteči, viņš meklēja risinājumus algebriskiem vienādojumiem.
 Abstraktā algebra tika ieviesta 19. gadsimtā, atvasināta no vienādojumu risināšanas, sākotnēji pievēršot uzmanību Galuā teorijai.
 Georgs Pīkots bija aksonometriskās domāšanas dibinātājs aritmētikā un algebrā.
 Augusts De Morgans atklāja saistību algebru.
 Josiahs Vilards Gibs apskatīja vektoru algebru trīs dimensiju telpā un Arturs Keilijs radīja algebru matricas.
 Algebra kā viena matemātikas nozare
 Algebra iesākās ar aprēķināšanu, kur skaitļus aizstāj ar burtiem. Tādējādi izveidojot visparīgos vienādojumus, kā piemēram, kvadrātvienādojumu: ax2+bx+c=0
 a, b, c var būt jebkurš skaitlis, izņemot 0, lai apmierinātu vienādojumu un varētu aprēķināt x vērtības jeb vienādojuma saknes.
 Vēsturiskā un pašreizējā mācīšanā, algebras mācība sākas ar vienādojumu risināšanu. Tādi vispārīgie jautājumi kā:
 Vai vienādojumam ir risinājums?
 Cik risinājumi ir vienādojumam?
 Ko var pateikt par risināšanas veidu?.
 Šie jautājumi noved līdz ideju formai, struktūrai un simetrijai. Šis rezultāts atļauj algebrai paplašināties arī bez skaitliska priekšmeta — kā vektori, matricas un polinomi. Šīs skaitliskās struktūras īpašības tika nodalītas, lai noteiktu algebriskas uzbūves, tādas kā grupas, riņķi un laukumi.
 Pirms 16.gadsimta, matemātiķi tika iedalīti tikai divās apakšnozarēs — aritmētiskajā un ģeometriskajā.
 Mūsdienās algebra ir izaugusi un attīstījusies tā, ka tajā ietilpst daudzas matemātikas nozares.
 Ārējās saites
 Arābu vārdi un frāzes


type: legislation

jurisdiction: EU

text:
 24.11.2007
 DE
 Amtsblatt der Europäischen Union
 L 307/18
 BESCHLUSS DES RATES
 vom 8. November 2007
 über den Beitritt von Bulgarien und Rumänien zu dem Übereinkommen — gemäß Artikel 34 des Vertrags über die Europäische Union vom Rat erstellt — über die Rechtshilfe in Strafsachen zwischen den Mitgliedstaaten der Europäischen Union
 (2007/763/EG)
 DER RAT DER EUROPÄISCHEN UNION —
 gestützt auf den Vertrag über die Europäische Union,
 gestützt auf den Beitrittsvertrag von 2005,
 gestützt auf die Beitrittsakte von 2005 (nachstehend „Beitrittsakte“ genannt), insbesondere auf Artikel 3 Absatz 4,
 auf Empfehlung der Kommission,
 nach Stellungnahme des Europäischen Parlaments (1),
 in Erwägung nachstehender Gründe:
 (1)
 Das Übereinkommen — gemäß Artikel 34 des Vertrags über die Europäische Union vom Rat erstellt — über die Rechtshilfe in Strafsachen zwischen den Mitgliedstaaten der Europäischen Union (2) (nachstehend „Rechtshilfeübereinkommen“ genannt) wurde am 29. Mai 2000 in Brüssel unterzeichnet und trat am 23. August 2005 in Kraft.
 (2)
 Das Rechtshilfeübereinkommen wurde durch das am 16. Oktober 2001 unterzeichnete und am 5. Oktober 2005 in Kraft getretene Protokoll (3) (nachstehend „Protokoll zum Rechtshilfeübereinkommen“ genannt) ergänzt.
 (3)
 Nach Artikel 3 Absatz 3 der Beitrittsakte treten Bulgarien und Rumänien den in Anhang I der Beitrittsakte aufgeführten Übereinkünften und Protokollen bei, zu denen unter anderem das Rechtshilfeübereinkommen und das Protokoll zum Rechtshilfeübereinkommen gehören. Diese Übereinkünfte und Protokolle treten für Bulgarien und Rumänien an dem Tag in Kraft, der vom Rat festgelegt wird.
 (4)
 Nach Artikel 3 Absatz 4 der Beitrittsakte nimmt der Rat alle Anpassungen vor, die aufgrund des Beitritts zu diesen Übereinkünften und Protokollen erforderlich sind —
 BESCHLIESST:
 Artikel 1
 Das Rechtshilfeübereinkommen tritt am ersten Tag des ersten Monats nach dem Tag der Annahme dieses Beschlusses zwischen Bulgarien, Rumänien und denjenigen Mitgliedstaaten in Kraft, für die das Übereinkommen an dem betreffenden Tag in Kraft ist. Es tritt zwischen Bulgarien oder Rumänien und jedem der anderen Mitgliedstaaten an dem Tag in Kraft, an dem das Rechtshilfeübereinkommen für den betreffenden anderen Mitgliedstaat in Kraft tritt.
 Das Protokoll zum Rechtshilfeübereinkommen tritt am ersten Tag des ersten Monats nach dem Tag der Annahme dieses Beschlusses zwischen Bulgarien, Rumänien und denjenigen Mitgliedstaaten in Kraft, für die das Protokoll an dem betreffenden Tag in Kraft ist. Es tritt zwischen Bulgarien oder Rumänien und jedem der anderen Mitgliedstaaten an dem Tag in Kraft, an dem das Protokoll zum Rechtshilfeübereinkommen für den betreffenden anderen Mitgliedstaat in Kraft tritt.
 Artikel 2
 Der Wortlaut des Rechtshilfeübereinkommens und des Protokolls zum Rechtshilfeübereinkommen in bulgarischer und rumänischer Sprache (4) ist in gleicher Weise verbindlich wie die übrigen Sprachfassungen des Rechtshilfeübereinkommens und des Protokolls zum Rechtshilfeübereinkommen.
 Artikel 3
 Dieser Beschluss wird am Tag nach seiner Veröffentlichung im Amtsblatt der Europäischen Union wirksam.
 Geschehen zu Brüssel am 8. November 2007.
 Im Namen des Rates
 Der Präsident
 R. PEREIRA
 (1) Stellungnahme vom 10. Juli 2007 (noch nicht im Amtsblatt veröffentlicht).
 (2) ABl. C 197 vom 12.7.2000, S. 3.
 (3) Protokoll — vom Rat gemäß Artikel 34 des Vertrags über die Europäische Union erstellt — zu dem Übereinkommen über die Rechtshilfe in Strafsachen zwischen den Mitgliedstaaten der Europäischen Union (ABl. C 326 vom 21.11.2001, S. 2).
 (4) Die bulgarische und die rumänische Fassung des Übereinkommens werden zu einem späteren Zeitpunkt in der Sonderausgabe des Amtsblatts veröffentlicht.


text:
Η παρούσα σελίδα αφορά το έτος 1957 κατά το Γρηγοριανό ημερολόγιο
 Γεγονότα
 1 Ιανουαρίου - Το Σάαρλαντ ενσωματώνεται στη Δυτική Γερμανία.
 9 Ιανουαρίου - Ο πρωθυπουργός του Ηνωμένου Βασιλείου Άντονι Ήντεν παραιτείται από το αξίωμά του μετά την αποτυχία του να ξαναπάρει τον έλεγχο της διώρυγας του Σουέζ από την αιγυπτιακή κυριαρχία.
 10 Ιανουαρίου - Ο Χάρολντ Μακμίλαν γίνεται πρωθυπουργός του Ηνωμένου Βασιλείου.
 12 Ιανουαρίου - Κάνει πρεμιέρα η ελληνική ταινία Το κορίτσι με τα παραμύθια.
 14 Ιανουαρίου - Ο Αμερικανός ηθοποιός Χάμφρεϊ Μπόγκαρτ πεθαίνει σε ηλικία 57 ετών στην Καλιφόρνια από καρκίνο.
 23 Ιανουαρίου - Ο Αμερικανός εφευρέτης Γουόλτερ Φρέντερικ Μόρισον πωλεί τα δικαιώματα του ιπτάμενου δίσκου του στην εταιρεία παιχνιδιών Wham-O, η οποία αργότερα θα τον μετονομάσει σε φρίσμπι.
 13 Μαρτίου - Κουβανοί επαναστάτες φοιτητές εισβάλουν στο προεδρικό παλάτι στην Αβάνα σε μία αποτυχημένη προσπάθεια κατά της ζωής του προέδρου Φουλχένσιο Μπατίστα.
 25 Μαρτίου - Η Ιταλία, η Γαλλία, η Δυτική Γερμανία, το Βέλγιο, η Ολλανδία και το Λουξεμβούργο υπογράφουν τη συνθήκη της Ρώμης, με την οποία ιδρύεται η Ευρωπαϊκή Οικονομική Κοινότητα (Ε.Ο.Κ., προπομπός της Ευρωπαϊκής Ένωσης).
 28 Μαρτίου - Αρχίζει να εκπέμπει η ΕΡΤ Κέρκυρας.
 6 Απριλίου - Η Ολυμπιακή Αεροπορία πραγματοποιεί το παρθενικό της ταξίδι.
 11 Απριλίου - Το Ηνωμένο Βασίλειο συμφωνεί στο αυτοδιοίκητο της Σιγκαπούρης.
 30 Μαΐου - Η Ρεάλ Μαδρίτης νικά με 2-0 την Φιορεντίνα στο Στάδιο Σαντιάγκο Μπερναμπέου στην Μαδρίτη και κατακτά το 2ο και ισάριθμο Κύπελλο Πρωταθλητριών.
 9 Ιουνίου - Πρώτη ανάβαση του Μπρόουντ Πικ από τους Φριτς Βιντερστέλερ, Μάρκους Σμουκ, Κουρτ Ντιμπέργκερ και Χέρμαν Μπουλ.
 1 Ιουλίου - Αρχίζει το Διεθνές Γεωφυσικό Έτος.
 29 Ιουλίου - Ιδρύεται η Διεθνής Οργάνωση Ατομικής Ενέργειας.
 21 Αυγούστου - Η Σοβιετική Ένωση διεξάγει με επιτυχία μία μεγάλου βεληνεκούς δοκιμαστική πτήση του R7, του πρώτου διηπειρωτικού βαλλιστικού πυραύλου.
 31 Αυγούστου - Η Μαλαισία αποκτά την ανεξαρτησία της από το Ηνωμένο Βασίλειο.
 2 Σεπτεμβρίου - Ο πρόεδρος του Νοτίου Βιετνάμ Νγκο Ντιν Ντιέμ γίνεται ο πρώτος εν ενεργεία ξένος αρχηγός κράτους που πραγματοποιεί επίσημη επίσκεψη στην Αυστραλία.
 17 Σεπτεμβρίου - Η Μαλαισία γίνεται μέλος του Ο.Η.Ε.
 19 Σεπτεμβρίου - Πραγματοποιείται η πρώτη αμερικανική υπόγεια δοκιμή πυρηνικής βόμβας.
 22 Σεπτεμβρίου - Ο Φρανσουά Ντιβαλιέ εκλέγεται πρόεδρος της Αϊτής.
 29 Σεπτεμβρίου - Έκρηξη στο σοβιετικό πυρηνικό εργοστάσιο του Μαγιάκ, στο Τσελιάμπινσκ, απελευθερώνει ραδιενέργεια.
 Σεπτέμβριος - Ο Δημήτριος Βακόνδιος επινοεί τον καφέ φραπέ κατά τη διάρκεια της Διεθνούς Έκθεσης Θεσσαλονίκης.
 4 Οκτωβρίου - Εκτοξεύεται ο Σπούτνικ 1, ο πρώτος τεχνητός δορυφόρος που τίθεται σε τροχιά γύρω από τη Γη.
 10 Οκτωβρίου - Ο Αμερικανός πρόεδρος Ντουάιτ Αϊζενχάουερ απολογείται στον υπουργό Οικονομικών της Γκάνας, αφού αρνήθηκαν να τον εξυπηρετήσουν σε εστιατόριο του Ντόβερ (Ντέλαγουερ).
 8 Νοεμβρίου - Η πτήση 7 της Pan American εξαφανίζεται μεταξύ Σαν Φρανσίσκο και Χονολουλού. Συντρίμμια και σώματα ανακαλύπτονται μία εβδομάδα αργότερα.
 8 Νοεμβρίου - Το Ηνωμένο Βασίλειο πραγματοποιεί την πρώτη του επιτυχημένη δοκιμή βόμβας υδρογόνου στο Κιριτιμάτι στον Ειρηνικό Ωκεανό.
 20 Δεκεμβρίου - Πραγματοποιεί την παρθενική του πτήση το πρώτο Boeing 707 που μπήκε σε παραγωγή.
 31 Δεκεμβρίου - Ανακαλύπτεται στη Πύλο ο κυψελοειδής τάφος του Νηλέα, πατέρα του Νέστορα, βασιλιά της Πύλου, καθώς και πτέρυγα του αρχαίου ανακτόρου ηλικίας 3.000 ετών.
 Γεννήσεις
 1 Ιανουαρίου - Ευάγγελος Βενιζέλος, Έλληνας πολιτικός
 3 Ιανουαρίου - Γιάννης Ε. Διακογιάννης, Έλληνας δημοσιογράφος
 4 Ιανουαρίου - Σώτη Τριανταφύλλου, Ελληνίδα συγγραφέας
 12 Ιανουαρίου - Τζον Λάσιτερ, Αμερικανός σκηνοθέτης
 20 Ιανουαρίου - Φίλιππος Σοφιανός,Έλληνας ηθοποιός
 23 Ιανουαρίου - Καρολίνα, πριγκίπισσα του Μονακό
 27 Ιανουαρίου - Τζάνικ Γκερς, Άγγλος κιθαρίστας
 27 Ιανουαρίου - Φρανκ Μίλλερ, Αμερικανός συγγραφέας κόμικς
 9 Φεβρουαρίου - Κατερίνα Στανίση, Ελληνίδα τραγουδίστρια
 16 Φεβρουαρίου - Ρούλα Κορομηλά, Ελληνίδα παρουσιάστρια
 17 Φεβρουαρίου - Λορίνα Μακένιτ, Καναδή τραγουδίστρια
 19 Φεβρουαρίου - Φάλκο, Αυστριακός τραγουδιστής
 20 Φεβρουαρίου - Ορφέας Περίδης, Έλληνας τραγουδοποιός
 27 Φεβρουαρίου - Άντριαν Σμιθ, Άγγλος κιθαρίστας
 3 Μαρτίου - Θέμις Μπαζάκα , Ελληνίδα ηθοποιός
 8 Μαρτίου - Κλάιβ Μπαρ, Άγγλος ντράμερ
 10 Μαρτίου - Οσάμα μπιν Λάντεν, Σαουδάραβας τρομοκράτης
 10 Μαρτίου - Χανς Πέτερ Φρίντριχ, Γερμανός πολιτικός
 15 Μαρτίου - Ρότζερ Άλμπερτσεν, Νορβηγός ποδοσφαιριστής
 19 Μαρτίου - Οβίντιγιους Βυσνιάουσκας, Λιθουανός τραγουδιστής
 25 Μαρτίου - Κανέλλος Κανελλόπουλος, Έλληνας ποδηλάτης
 27 Μαρτίου - Μπίλι Μακένζι, Σκωτσέζος τραγουδιστής
 28 Μαρτίου - Αριέττα Μουτούση, Ελληνίδα ηθοποιός
 3 Απριλίου - Μιχάλης Ρακιντζής, Έλληνας τραγουδοποιός
 4 Απριλίου - Άκι Καουρισμάκι, Φινλανδός σκηνοθέτης
 22 Απριλίου - Ντόναλντ Τουσκ, Πολωνός πολιτικός
 24 Απριλίου - Μπαμίρ Τόπι, Αλβανός πολιτικός
 29 Απριλίου - Ντάνιελ Ντέι-Λιούις, Άγγλος ηθοποιός
 29 Απριλίου - Σοφία Σακοράφα, Ελληνίδα ακοντίστρια και πολιτικός
 10 Μαΐου - Σιντ Βίσιους, Άγγλος μπασίστας (Sex Pistols)
 17 Μαΐου - Έλλη Πασπαλά, Ελληνίδα τραγουδίστρια
 18 Μαΐου - Τέρτιους Ζόνγκο, πρωθυπουργός της Μπουρκίνα Φάσο
 18 Μαΐου - Μισέλ Κρετού, Ρουμάνος μουσικός (Enigma)
 20 Μαΐου - Γιοσιχίκο Νόντα, Ιάπωνας πολιτικός
 31 Μαΐου - Σίντι Μοχάμεντ Ουλντ Μπουμπακάρ, Μαυριτανός πολιτικός
 7 Ιουνίου - Χουάν Λουίς Γκέρρα, Δομινικανός τραγουδιστής
 19 Ιουνίου - Άννα Λιντ, Σουηδή πολιτικός
 23 Ιουνίου - Φράνσις ΜακΝτόρμαντ, Αμερικανίδα ηθοποιός
 28 Ιουνίου - Γκεόργκι Παρβάνοφ, Βούλγαρος πολιτικός
 29 Ιουνίου - Κουρμπανγκουλί Μπερντιμουχαμέντοφ, πρόεδρος του Τουρκμενιστάν
 30 Ιουνίου - Λίνα Νικολακοπούλου, Ελληνίδα στιχουργός
 2 Ιουλίου - Μπρετ Χαρτ, Καναδός παλαιστής
 12 Ιουλίου - Ρίτσαρντ Ντάγκλας Χάσμπαντ, Αμερικανός αστροναύτης
 16 Ιουλίου - Ρούλα Μαυρονικόλα, Κύπρια πολιτικός
 16 Ιουλίου - Βλόντζιμεζ Σμολάρεκ, Πολωνός ποδοσφαιριστής
 17 Ιουλίου - Μαρίνος Σιζόπουλος, Κύπριος πολιτικός
 23 Ιουλίου - Νίκος Γκάλης, Έλληνας καλαθοσφαιριστής
 24 Ιουλίου - Σαβκάτ Μιρζιγιάγιεφ, Ουζμπέκος πολιτικός
 23 Αυγούστου - Τάσος Μητρόπουλος, Έλληνας ποδοσφαιριστής
 24 Αυγούστου - Στίβεν Φράι, Άγγλος ηθοποιός
 26 Αυγούστου - Dr. Alban, Νιγηριανός τραγουδιστής
 28 Αυγούστου - Ίβο Γιοσίποβιτς, Κροάτης πολιτικός
 1 Σεπτεμβρίου - Γκλόρια Εστέφαν, Κουβανή τραγουδίστρια
 6 Σεπτεμβρίου - Μικαέλ Ζαν, γενική κυβερνήτρια του Καναδά
 6 Σεπτεμβρίου - Ζοζέ Σόκρατες, Πορτογάλος πολιτικός
 8 Σεπτεμβρίου - Ρικάρδο Μοντανέρ, Αργεντινός τραγουδιστής
 12 Σεπτεμβρίου - Χανς Ζίμμερ, Γερμανός συνθέτης
 13 Σεπτεμβρίου - Βίνι Άπις, Αμερικανός ντράμερ
 16 Σεπτεμβρίου - Σταμάτης Γονίδης, Έλληνας τραγουδιστής
 17 Σεπτεμβρίου - Μαρτίνιο Ντάφα Καμπί, πρωθυπουργός της Γουινέας Μπισσάου
 21 Σεπτεμβρίου - Κέβιν Ραντ, Αυστραλός πολιτικός
 22 Σεπτεμβρίου - Νικ Κέιβ, Αυστραλός τραγουδοποιός
 24 Σεπτεμβρίου - Μπραντ Μπερντ, Αμερικανός σκηνοθέτης
 28 Σεπτεμβρίου - Θέμης Αδαμαντίδης, Έλληνας τραγουδιστής
 29 Σεπτεμβρίου - Σωκράτης Μάλαμας, Έλληνας τραγουδοποιός
 30 Σεπτεμβρίου - Κυριάκος Αμοιρίδης, Έλληνας διπλωμάτης
 30 Σεπτεμβρίου - Φραν Ντρέσερ, Αμερικανίδα ηθοποιός
 1 Οκτωβρίου - Στέλιος Μάινας, Έλληνας ηθοποιός
 17 Οκτωβρίου - Ελευθερία Αρβανιτάκη, Ελληνίδα τραγουδίστρια
 21 Οκτωβρίου - Τζούλιαν Κόουπ, Βρετανός μουσικός
 23 Οκτωβρίου - Πολ Καγκάμε, πρόεδρος της Ρουάντα
 30 Οκτωβρίου - Φελίξ Καμάτσο, κυβερνήτης του Γκουάμ
 3 Νοεμβρίου - Ντολφ Λούντγκρεν, Σουηδός ηθοποιός
 4 Νοεμβρίου - Τόνι Άμποτ, Αυστραλός πολιτικός
 7 Νοεμβρίου - Νίκος Σπυρόπουλος, μουσικός ροκ
 13 Νοεμβρίου - Τζον ντε Γιονγκ, κυβερνήτης των αμερικανικών Παρθένων Νήσων
 19 Νοεμβρίου - Όφρα Χάζα, Ισραηλινή τραγουδίστρια
 20 Νοεμβρίου - Γκούντλακ Τζόναθαν, Νιγηριανός πολιτικός
 27 Νοεμβρίου - Καρολίνα Μπουβιέ Κένεντι, Αμερικανίδα συγγραφέας και δικηγόρος
 10 Δεκεμβρίου - Μάικλ Κλαρκ Ντάνκαν, Αμερικανός ηθοποιός
 20 Δεκεμβρίου - Άννα Βίσση, Κύπρια τραγουδίστρια
 24 Δεκεμβρίου - Χαμίντ Καρζάι, Αφγανός πολιτικός
 27 Δεκεμβρίου - Ελένη Δήμου, Ελληνίδα τραγουδίστρια
 30 Δεκεμβρίου - Νίκος Πορτοκάλογλου, Έλληνας τραγουδοποιός
 Κωνσταντίνος Αραβανής, Έλληνας πολιτικός
 Θεόδωρος Μπελίτσος, Έλληνας συγγραφέας
 Χριστίνα Τσάφου, Ελληνίδα ηθοποιός
 Θάνατοι
 10 Ιανουαρίου - Γκαμπριέλα Μιστράλ, Χιλιανή συγγραφέας
 14 Ιανουαρίου - Χάμφρεϊ Μπόγκαρτ, Αμερικανός ηθοποιός
 18 Ιανουαρίου - Μάρκος Δράκος, Κύπριος αγωνιστής
 20 Ιανουαρίου - Τζέιμς Μπρένταν Κόνολι, Αμερικανός αθλητής
 1 Φεβρουαρίου - Φρίντριχ Πάουλους, Γερμανός στρατάρχης
 6 Φεβρουαρίου - Νικόλαος Δίκας, Έλληνας πολιτικός
 8 Φεβρουαρίου - Βάλτερ Μπότε, Γερμανός φυσικός
 8 Φεβρουαρίου - Τζον φον Νόιμαν, Ούγγρος μαθηματικός
 9 Φεβρουαρίου - Μικλός Χόρτι, Ούγγρος ναύαρχος και αντιβασιλιάς
 22 Φεβρουαρίου - Κυριάκος Βαρβαρέσος, Έλληνας πολιτικός
 23 Φεβρουαρίου - Μαρίκα Νίνου, Ελληνίδα τραγουδίστρια
 3 Μαρτίου - Γρηγόρης Αυξεντίου, Κύπριος αγωνιστής
 14 Μαρτίου - Ευαγόρας Παλληκαρίδης, Κύπριος αγωνιστής
 16 Μαρτίου - Κονσταντίν Μπρανκούζι, Ρουμάνος γλύπτης
 2 Μαΐου - Τζόζεφ Μακάρθυ, Αμερικανός πολιτικός
 3 Μαΐου - Σπύρος Παπαλουκάς, Έλληνας ζωγράφος
 31 Μαΐου - Στέφανος Σαράφης, Έλληνας στρατιωτικός
 21 Ιουνίου - Γιοχάνες Σταρκ, Γερμανός φυσικός
 26 Ιουνίου - Άλφρεντ Ντέμπλιν, Γερμανός συγγραφέας
 27 Ιουνίου - Χέρμαν Μπουλ, Αυστριακός ορειβάτης
 23 Ιουλίου - Τζουζέππε Τομάζι ντι Λαμπεντούζα, Ιταλός συγγραφέας
 26 Ιουλίου - Δωρόθεος, αρχιεπίσκοπος Αθηνών και πάσης Ελλάδος
 7 Αυγούστου - Όλιβερ Χάρντι, Αμερικανός ηθοποιός
 20 Σεπτεμβρίου - Γιαν Σιμπέλιους, Φινλανδός συνθέτης
 21 Σεπτεμβρίου - Χάακον Ζ', βασιλιάς της Νορβηγίας
 19 Οκτωβρίου - Βηρ Γκόρντον Τσάιλντ, Αυστραλός αρχαιολόγος
 23 Οκτωβρίου - Στυλιανός Τυπάλδος, Έλληνας πολιτικός
 24 Οκτωβρίου - Κριστιάν Ντιόρ, Γάλλος σχεδιαστής μόδας
 26 Οκτωβρίου - Νίκος Καζαντζάκης, Έλληνας συγγραφέας
 3 Νοεμβρίου - Λάικα, σοβιετικό σκυλί
 3 Νοεμβρίου - Βίλχελμ Ράιχ, Αυστριακός ψυχαναλυτής
 24 Νοεμβρίου - Ντιέγκο Ριβέρα, Μεξικανός ζωγράφος
 25 Νοεμβρίου - Γεώργιος, πρίγκιπας της Ελλάδας
 29 Νοεμβρίου - Έριχ Βόλφγκανγκ Κόρνγκολντ, Αυστριακός συνθέτης
 29 Νοεμβρίου -Απόστολος Τρύφωνος Μητροπολίτης Ρόδου
 10 Δεκεμβρίου - Ναπολέων Ζέρβας, Έλληνας αντιστασιακός
 Πάνος Ζαχαρίου, Έλληνας πεντηκοστιανός ευαγγελιστής
 Κανέλλος Α. Κανελλόπουλος, Έλληνας πολιτικός
 Λεό Ραπίτης, Έλληνας συνθέτης
 1957
 Έτη


text:
Mrázekit je minerál kryštalizujúci v monoklinickej sústave, chemicky zásaditý fosforečnan medi a bizmutu - Bi3+2Cu3(PO4)2O2(OH)2·2H2O.
 Charakteristika
 Zatiaľ najmladší slovenský svetový minerál - typový, chránený. Prvýkrát ho našiel Z. Mrázek na ložisku Reiner v Ľubietovej a urobil prvé analýzy. Potom tragicky zahynul. Jeho prácu dokončili iní a nový minerál pomenovali po ňom. Vytvára drobné ihličkovité alebo tabuľkovité kryštály svetlomodrej farby so skleným leskom s veľkosťou do 5 mm.
 Vznik
 Vzniká rozkladom tetraedritu.
 Poznávanie
 Je ťažko rozoznateľný, charakteristické je jeho modrozelené sfarbenie.
 Výskyty na Slovensku
 Ľubietová (okres Banská Bystrica)
 Pozri aj
 Zoznam minerálov
 Iné projekty
 Externé odkazy
 Mrázekit na www.mindat.org
 Monoklinické minerály
 Fosfáty, arzenáty a vanadáty
 Bodová grupa 2/m
 Minerály bizmutu
 Minerály medi
 Minerály fosforu
 Minerály kyslíka
 Minerály vodíka


text:
La meymacite è un idrossido di tungsteno descritto per la prima volta nel 1874 da A. Carnot (mineralogista e chimico francese), che ne scelse il nome da Meymac, località del rinvenimento in Francia. Da allora è rimasta una specie in dubbio; Pierrot e Van Tassel nel 1965 ridefinirono la meymacite come la fase amorfa dell'hydrotungstite. In Italia si trova nelle miniere di Genna Gureu (fra Nurri e Orroli) e Mogoro in Sardegna.
 Morfologia
 Amorfo. Massiva, polverulenta o terrosa.
 Origine e giacitura
 Bibliografia
 R. Pierrot, R. Van Tassel, Nouvelle définition de la meymacite et nomenclature des “acides tungstiques” naturels. Bull. Soc. Franc. Mineral. Cristallogr., vol. 88, pp. 613–617.
 Collegamenti esterni
 Idrossidi (minerali)


type: contracts

text:
 25.9.2008
 ET
 Euroopa Liidu Teataja
 L 257/37
 EMP ÜHISKOMITEE OTSUS
 nr 73/2008,
 6. juuni 2008,
 millega muudetakse Euroopa Majanduspiirkonna lepingu XX lisa (keskkond)
 EMP ÜHISKOMITEE,
 võttes arvesse Euroopa Majanduspiirkonna lepingut, mida on muudetud Euroopa Majanduspiirkonna lepingut kohandava protokolliga, edaspidi „leping”, eriti selle artiklit 98,
 ning arvestades järgmist:
 (1)
 Lepingu XX lisa on muudetud EMP Ühiskomitee 25. aprilli 2008. aasta otsusega nr 56/2008. (1)
 (2)
 Lepingusse tuleb inkorporeerida Euroopa Parlamendi ja nõukogu 14. juuni 2006. aasta määrus (EÜ) nr 1013/2006 jäätmesaadetiste kohta. (2)
 (3)
 Määrusega (EÜ) nr 1013/2006 tunnistatakse alates 12. juulist 2007 kehtetuks lepingusse inkorporeeritud nõukogu määrus (EMÜ) nr 259/93 (3) ja komisjoni otsus 94/774/EÜ, (4) mis tuleb sellest tulenevalt lepingust välja jätta.
 (4)
 Määruse (EMÜ) nr 259/93 ja otsuse 94/774/EÜ EMP kohandused Liechtensteini suhtes jäävad kehtima,
 ON TEINUD JÄRGMISE OTSUSE:
 Artikkel 1
 Lepingu XX lisa muudetakse järgmiselt:
 1)
 Punkt 32c (nõukogu määrus (EMÜ) nr 259/93) asendatakse järgmisega:
 „32006 R 1013: Euroopa Parlamendi ja nõukogu määrus (EÜ) nr 1013/2006, 14. juuni 2006, jäätmesaadetiste kohta (ELT L 190, 12.7.2006, lk 1).
 Seoses määrusega (EMÜ) nr 259/93 kohaldatakse 16. aprilli 2003. aasta ühinemisakti lisades sätestatud üleminekukorda Läti (VIII lisa 10. peatüki B jao punkt 1), Ungari (X lisa 8. peatüki A jao punkt 1), Malta (XI lisa 10. peatüki B jao punkt 1), Poola (XII lisa 13. peatüki B jao punkt 1) ja Slovakkia (XIV lisa 9. peatüki B jao punkt 1) suhtes mutatis mutandis.
 Seoses määrusega (EMÜ) nr 259/93 kohaldatakse 25. aprilli 2005. aasta ühinemisakti lisades sätestatud üleminekukorda Bulgaaria (VI lisa 10. peatüki B jao punkt 1) ja Rumeenia (VII lisa 9. peatüki B jao punkt 1) suhtes mutatis mutandis.
 Käesolevas lepingus loetakse kõnealuse määruse sätteid järgmises kohanduses:
 a)
 Liechtensteini loetakse seoses taaskasutatavate jäätmete ekspordiga (määruse IV jaotise 2. peatükk) riigiks, kelle suhtes kohaldatakse OECD otsust.
 b)
 Šveitsis kõrvaldatavate või taaskasutatavate ohtlike jäätmete puhul võib Liechtenstein määruse lisas esitatud tüüpvormide asemel kasutada Šveitsi teatist ja liikumisdokumente.
 c)
 Artikli 2 lõikes 29 lisatakse sõnade „ühenduse territooriumile” järele sõnad „või EFTA riikide territooriumile”.”
 2)
 Punkti 32aa (komisjoni otsus 2000/532/EÜ) kohandamisel asendatakse lause lõpus olevad sõnad „ning mainitud nõukogu määruses (EMÜ) nr 259/93” sõnadega „ning mainitud Euroopa Parlamendi ja nõukogu määruses (EÜ) nr 1013/2006”.
 3.
 Punkt 32ca (komisjoni otsus 94/774/EÜ) jäetakse välja.
 Artikkel 2
 Määruse (EÜ) nr 1013/2006 islandi- ja norrakeelne tekst, mis avaldatakse Euroopa Liidu Teataja EMP kaasandes, on autentsed.
 Artikkel 3
 Käesolev otsus jõustub 7. juunil 2008, tingimusel et EMP Ühiskomiteele on esitatud kõik lepingu artikli 103 lõike 1 kohased teated. (5)
 Artikkel 4
 Käesolev otsus avaldatakse Euroopa Liidu Teataja EMP osas ja EMP kaasandes.
 Brüssel, 6. juuni 2008
 EMP Ühiskomitee nimel
 eesistuja
 Alan SEATTER
 (1) ELT L 223, 21.8.2008, lk 54.
 (2) ELT L 190, 12.7.2006, lk 1.
 (3) EÜT L 30, 6.2.1993, lk 1.
 (4) EÜT L 310, 3.12.1994, lk 70.
 (5) Põhiseadusest tulenevad nõuded on nimetatud.