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Galaxy Cluster Abell 370 with Dark Matter Map
Theyāre not stars, theyāre galaxies.Ā This is a NASA/ESA Hubble Space Telescope image of the galaxy cluster Abell 370. The blurred swirls are not an artefact of poor photography or a moving camera. The smeared light of the galaxies is due to gravitational lensing by dark matter.Ā Shown in blue, the mass distribution, reconstructed through gravitational lensing, shows two large, diffuse halos of mass, consistent with dark matter with two merging clusters. In and around every galaxy, cluster, and massive collection of normal matter there exists 5 times as much dark matter.
Credit: NASA, ESA, D. Harvey (Ćcole Polytechnique FĆ©dĆ©rale de Lausanne, Switzerland), R. Massey (Durham University, UK), the Hubble SM4 ERO Team and ST-ECFĀ
Read more: Starts With a Bang Hubble Space Telescope
Actual Definitions of Commonly Confused Mathematical Terms
CLEARLY: I donāt want to write down all the in-between steps.
TRIVIAL: If I have to show you how to do this, youāre in the wrong class.
OBVIOUSLY: I hope you werenāt sleeping when we discussed this earlier, because I refuse to repeat it.
RECALL: I shouldnāt have to tell you this, but for those of you who erase your memory tapes after every test, here it is again.
WITHOUT LOSS OF GENERALITY: Iām not about to do all the possible cases, so Iāll do one and let you figure out the rest.
ONE MAY SHOW: One did, his name was Gauss.
IT IS WELL KNOWN: See āMathematische Zeitschriftā, vol XXXVI, 1892.
CHECK FOR YOURSELF: This is the boring part of the proof, so you can do it on your own time.
SKETCH OF A PROOF: I couldnāt verify the details, so Iāll break it down into parts I couldnāt prove.
FINALLY: Only ten more steps to go.
PROOF OMITTED: Trust me, itās true.
John Wright, Glasgow
Pink Banana
Model Lisa: Marie SchneiderĀ
Photographer: Adam Holtrop
Algebraic and Projective Geometry: duality of points and lines, and piano by Freddy Kempf