BIRKHOFF ANGLE ON NORMED SPACE
There arevariousconceptsoforthogonalityinnormedspaces,oneofwhichwas put forwardbymathematicianG.D.Birkhoff(1884-1944).Birkhoffdefinesan orthogonality bymeansofanequalitywhichstatesthatthenormofthesumofa reference vectorwithanymultipleoftheothervectorsmustbegreaterthanorequal to thenormoftherefer...
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id-itb.:550322021-06-13T12:44:12ZBIRKHOFF ANGLE ON NORMED SPACE Jamaludin, Muhamad Indonesia Final Project Birkhoff orthogonality,characterization of angles,comparing angular angles, cosines of angles. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/55032 There arevariousconceptsoforthogonalityinnormedspaces,oneofwhichwas put forwardbymathematicianG.D.Birkhoff(1884-1944).Birkhoffdefinesan orthogonality bymeansofanequalitywhichstatesthatthenormofthesumofa reference vectorwithanymultipleoftheothervectorsmustbegreaterthanorequal to thenormofthereferencevector.Thisfinalprojectwilldiscussacharacteri- zation ofacuteandobtuseanglesthatareinlinewiththedefinitionofBirkhoff’s orthogonality innormalspace.Inaddition,itwilldiscussthecharacterizationof true acuteandobtuseangles.Birkhoff’sangulartaperingwillalsobediscussed; The discussionfocusesoncomparingtheangularanglesfortwodifferentpairsof vectorswiththesamereferencevectorusingacertainparameterandexpandingit to formulatethecosineofBirkhoff’sangles. text |
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| description |
There arevariousconceptsoforthogonalityinnormedspaces,oneofwhichwas
put forwardbymathematicianG.D.Birkhoff(1884-1944).Birkhoffdefinesan
orthogonality bymeansofanequalitywhichstatesthatthenormofthesumofa
reference vectorwithanymultipleoftheothervectorsmustbegreaterthanorequal
to thenormofthereferencevector.Thisfinalprojectwilldiscussacharacteri-
zation ofacuteandobtuseanglesthatareinlinewiththedefinitionofBirkhoff’s
orthogonality innormalspace.Inaddition,itwilldiscussthecharacterizationof
true acuteandobtuseangles.Birkhoff’sangulartaperingwillalsobediscussed;
The discussionfocusesoncomparingtheangularanglesfortwodifferentpairsof
vectorswiththesamereferencevectorusingacertainparameterandexpandingit
to formulatethecosineofBirkhoff’sangles. |
| format |
Final Project |
| author |
Jamaludin, Muhamad |
| spellingShingle |
Jamaludin, Muhamad BIRKHOFF ANGLE ON NORMED SPACE |
| author_facet |
Jamaludin, Muhamad |
| author_sort |
Jamaludin, Muhamad |
| title |
BIRKHOFF ANGLE ON NORMED SPACE |
| title_short |
BIRKHOFF ANGLE ON NORMED SPACE |
| title_full |
BIRKHOFF ANGLE ON NORMED SPACE |
| title_fullStr |
BIRKHOFF ANGLE ON NORMED SPACE |
| title_full_unstemmed |
BIRKHOFF ANGLE ON NORMED SPACE |
| title_sort |
birkhoff angle on normed space |
| url |
https://digilib.itb.ac.id/gdl/view/55032 |
| _version_ |
1822274130057101312 |