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Single knots at 1/3 and 2/3 establish a spline of three cubic polynomials meeting with C2 continuity. Triple knots at both ends of the interval ensure that the curve interpolates the end points
Spline — Single knots at 1/3 and 2/3 establish a spline of three cubic polynomials meeting with C2 continuity. Triple knots at both ends of the interval ensure that the curve interpolates the end points
Photo Credit: By Garry R. Osgood - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=4314548
Spline Single knots at 1/3 and 2/3 establish a spline of three cubic polynomials meeting with C2 continuity. Triple knots at both ends of the interval ensure that the curve interpolates the end points
Lithographie von Josef Kriehuber, 1861
Fürst Alexander Johann Cuza — Lithographie von Josef Kriehuber, 1861
Photo Credit: Public Domain, https://commons.wikimedia.org/w/index.php?curid=38794754
Fürst Alexander Johann Cuza Lithographie von Josef Kriehuber, 1861
University Square - University of Iași
Photo Credit: By Argenna - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=10986074
Logo Alexandru-Ioan-Cuza-Universität Iași
Photo Credit: By Unknown author - www.uaic.ro, Public Domain, https://commons.wikimedia.org/w/index.php?curid=48474814
Isaac Jacob Schoenberg in 1971
Photo Credit: By Jacobs, Konrad - https://opc.mfo.de/detail?photo_id=3723, CC SA 1.0, https://commons.wikimedia.org/w/index.php?curid=6162598
Theophilos on gold solidus
Photo Credit: By Classical Numismatic Group, Inc. http://www.cngcoins.com, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=347700
Constantinople mint. Struck 821-829. Crowned and draped facing bust of Michael, wearing short beard
Michael II the Amorian — Constantinople mint. Struck 821-829. Crowned and draped facing bust of Michael, wearing short beard
Photo Credit: By Classical Numismatic Group, Inc. http://www.cngcoins.com, CC BY-SA 2.5, https://commons.wikimedia.org/w/index.php?curid=15057665
Michael II the Amorian Constantinople mint. Struck 821-829. Crowned and draped facing bust of Michael, wearing short beard
Miniature from the Madrid Skylitzes
Proclamation of Leo V as emperor — Miniature from the Madrid Skylitzes
Photo Credit: By from the Middle Ages, unknown - en:Madrid Skylitzes, Public Domain, https://commons.wikimedia.org/w/index.php?curid=15203759
Proclamation of Leo V as emperor Miniature from the Madrid Skylitzes
The battle of Versinikia from the 14th century Bulgarian copy of the Manasses Chronicle.
Battle of Versinikia — The battle of Versinikia from the 14th century Bulgarian copy of the Manasses Chronicle.
Photo Credit: By Original: Constantine Manasses - Scanned from book "Miniatures from the Manasses Chronicle", Ivan Duichev, "Bulgarski hudojnik" Publishing house, Sofia, 1962, Public Domain, https://commons.wikimedia.org/w/index.php?curid=3511981
Battle of Versinikia The battle of Versinikia from the 14th century Bulgarian copy of the Manasses Chronicle.
The Bulgarians annihilate the Byzantine army at Versinikia.
Battle of Versinikia — The Bulgarians annihilate the Byzantine army at Versinikia.
Photo Credit: By John Skylitzes - Madrid Skylitzes, Public Domain, https://commons.wikimedia.org/w/index.php?curid=10481736
Battle of Versinikia The Bulgarians annihilate the Byzantine army at Versinikia.
Territorial expansion of Bulgaria during the reign of Khan Krum (803-814)<br>
During his reign the Bulgarian territory doubled in size, spreading from the middle Danube to the Dnieper and from Odrin to the Tatra Mountains.
Krum's Advances — Territorial expansion of Bulgaria during the reign of Khan Krum (803-814)
During his reign the Bulgarian territory doubled in size, spreading from the middle Danube to the Dnieper and from Odrin to the Tatra Mountains.
Photo Credit: By Kandi - Own work, CC BY-SA 4.0, https://commons.wikimedia.org/w/index.php?curid=3211315
Krum's Advances Territorial expansion of Bulgaria during the reign of Khan Krum (803-814)
During his reign the Bulgarian territory doubled in size, spreading from the middle Danube to the Dnieper and from Odrin to the Tatra Mountains.