the point where the x and y axis meet is called origin.
the point where the x and y axis meet is called origin.
the point where the x and y axis meet is called?
origin
over the real number field, this can be pictured in usual "xyz"-space as follows. replacing subspaces with their corresponding projective spaces, and intersecting with an affine coordinate patch of formula_2, we obtain an open subset "x"° ⊂ "x". this is isomorphic to the set of all lines "l" (not necessarily through the origin) which meet the "x"-axis. each such line "l" corresponds to a point of "x"°, and continuously moving "l" in space (while keeping contact with the "x"-axis) corresponds to a curve in "x"°. since there are three degrees of freedom in moving "l" (moving the point on the "x"-axis, rotating, and tilting), "x" is a three-dimensional real algebraic variety. however, when "l" is equal to the "x"-axis, it can be rotated or tilted around any point on the axis, and this excess of possible motions makes "l" a singular point of "x".
schubert variety
bullet::::- 8 november: operation torch is launched under the command of general eisenhower, allied forces land in morocco and algeria.









































bullet::::- 9 november: sidi barrani captured by eighth army









































bullet::::- 13 november: tobruk captured by eighth army









































bullet::::- 15 november: british forces capture derna in libya.









































bullet::::- 17 november: first army (operation torch's eastern task force) and axis meet at djebel abiod in tunisia









































bullet::::- 20 november: benghazi captured by eighth army









































bullet::::- 27 november: first army advance halted between terbourba and djedeida, 12 miles from tunis, by axis counterattack
north african campaign timeline