https://wiki.oroboros.at/index.php?title=Unit&feed=atom&action=historyUnit - Revision history2024-03-28T18:42:22ZRevision history for this page on the wikiMediaWiki 1.36.1https://wiki.oroboros.at/index.php?title=Unit&diff=232435&oldid=prevGnaiger Erich at 19:39, 20 September 20222022-09-20T19:39:52Z<p></p>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub> [x]; ''u''<sub>''Q''</sub></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub> [x]; ''u''<sub>''Q''</sub></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|description=[[File:Count-vs-number.png|right|120px|link=Elementary entity]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|description=[[File:Count-vs-number.png|right|120px|link=Elementary entity]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the [[elementary entity]] ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit': ''U''<sub>''X''</sub> is the Euclidean or entetic unit ('eunit'), and ''u''<sub>''Q''</sub> is the abstract unit ('aunit'). Subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of <del style="font-weight: bold; text-decoration: none;">a </del>entetic versus abstract 'unit'. The term 'unit' with its dual meanings is used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = ''N''·''U''<sub>''X''</sub> [x]. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the [[elementary entity]] ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> <ins style="font-weight: bold; text-decoration: none;">are </ins>chosen here with ''U'' and ''u'' for 'unit': ''U''<sub>''X''</sub> is the Euclidean or entetic unit ('eunit'), and ''u''<sub>''Q''</sub> is the abstract unit ('aunit'). Subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of <ins style="font-weight: bold; text-decoration: none;">an </ins>entetic versus abstract 'unit'. The term 'unit' with its dual meanings is used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = ''N''·''U''<sub>''X''</sub> [x]. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N''<ins style="font-weight: bold; text-decoration: none;">·</ins>''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=223073&oldid=prevGnaiger Erich at 09:09, 24 December 20212021-12-24T09:09:57Z<p></p>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-08-14</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-08-14</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[<del style="font-weight: bold; text-decoration: none;">Gnaiger 2021 </del>X-mass Carol#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''''X''-mass Carol'''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[X-mass Carol#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''''X''-mass Carol'''</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=213784&oldid=prevGnaiger Erich at 15:45, 17 January 20212021-01-17T15:45:27Z<p></p>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-08-14</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-08-14</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=206186&oldid=prevGnaiger Erich at 13:41, 14 August 20202020-08-14T13:41:41Z<p></p>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub>; ''u''<sub>''Q''</sub></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub> <ins style="font-weight: bold; text-decoration: none;">[x]</ins>; ''u''<sub>''Q''</sub></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|description=[[File:Count-vs-number.png|right|120px|link=Elementary entity]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|description=[[File:Count-vs-number.png|right|120px|link=Elementary entity]]</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the [[elementary entity]] ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and <del style="font-weight: bold; text-decoration: none;">subscripts </del>''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit'<del style="font-weight: bold; text-decoration: none;">, which are </del>used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = <del style="font-weight: bold; text-decoration: none;">1 </del>x. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the [[elementary entity]] ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit'<ins style="font-weight: bold; text-decoration: none;">: ''U''<sub>''X''</sub> is the Euclidean or entetic unit ('eunit'), </ins>and <ins style="font-weight: bold; text-decoration: none;">''u''<sub>''Q''</sub> is the abstract unit ('aunit'). Subscripts </ins>''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a <ins style="font-weight: bold; text-decoration: none;">entetic versus abstract 'unit'. The term </ins>'unit' <ins style="font-weight: bold; text-decoration: none;">with its dual meanings is </ins>used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = <ins style="font-weight: bold; text-decoration: none;">''N''·''U''<sub>''X''</sub> [</ins>x<ins style="font-weight: bold; text-decoration: none;">]</ins>. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-<del style="font-weight: bold; text-decoration: none;">07</del>-<del style="font-weight: bold; text-decoration: none;">23</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-<ins style="font-weight: bold; text-decoration: none;">08</ins>-<ins style="font-weight: bold; text-decoration: none;">14</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''A ''X''-mass Carol'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''A ''X''-mass Carol'''</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=205378&oldid=prevGnaiger Erich at 09:32, 23 July 20202020-07-23T09:32:50Z<p></p>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub>; ''u''<sub>''Q''</sub></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub>; ''u''<sub>''Q''</sub></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|description=A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the elementary entity ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit', which are used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = 1 x. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|description=<ins style="font-weight: bold; text-decoration: none;">[[File:Count-vs-number.png|right|120px|link=Elementary entity]]</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the <ins style="font-weight: bold; text-decoration: none;">[[</ins>elementary entity<ins style="font-weight: bold; text-decoration: none;">]] </ins>''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit', which are used and confused in practical language and the scientific literature today. In the elementary entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = 1 x. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-07-<del style="font-weight: bold; text-decoration: none;">13</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-07-<ins style="font-weight: bold; text-decoration: none;">23</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''A ''X''-mass Carol'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_elementary_unit_x |'''Entity ''X'' and elementary unit x''']] of '''A ''X''-mass Carol'''</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=204993&oldid=prevGnaiger Erich at 19:28, 13 July 20202020-07-13T19:28:51Z<p></p>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-07-<del style="font-weight: bold; text-decoration: none;">11 </del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] (2020-07-06) last update 2020-07-<ins style="font-weight: bold; text-decoration: none;">13</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:<del style="font-weight: bold; text-decoration: none;">_Entity_X_and_the_elementary_unit_.5Bx.5D </del>|'''Entity ''X'' and <del style="font-weight: bold; text-decoration: none;">the </del>elementary unit x''']] of '''A ''X''-mass Carol'''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:<ins style="font-weight: bold; text-decoration: none;">_Entity_X_and_elementary_unit_x </ins>|'''Entity ''X'' and elementary unit x''']] of '''A ''X''-mass Carol'''</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=204945&oldid=prevGnaiger Erich at 11:18, 11 July 20202020-07-11T11:18:04Z<p></p>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub>; ''u''<sub>''Q''</sub></div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''U''<sub>''X''</sub>; ''u''<sub>''Q''</sub></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|description=A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the elementary <del style="font-weight: bold; text-decoration: none;">unit-</del>entity ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit', which are used and confused in practical language and the scientific literature today. In the <del style="font-weight: bold; text-decoration: none;">unit-</del>entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = 1 x. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|description=A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the elementary entity ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit', which are used and confused in practical language and the scientific literature today. In the <ins style="font-weight: bold; text-decoration: none;">elementary </ins>entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = 1 x. In contrast to counting, a unit ''u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary unit for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C'''ount of '''entities''' — NUCE.</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] 2020-07-06</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] <ins style="font-weight: bold; text-decoration: none;">(</ins>2020-07-06<ins style="font-weight: bold; text-decoration: none;">) last update 2020-07-11 </ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_the_elementary_unit_.5Bx.5D |'''Entity ''X'' and the elementary unit x''']] of '''A ''X''-mass Carol'''</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> in: Anastrophe ''XX'' [[MitoFit_2020.4.v0#Anastrophe_XX:_Entity_X_and_the_elementary_unit_.5Bx.5D |'''Entity ''X'' and the elementary unit x''']] of '''A ''X''-mass Carol'''</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=204673&oldid=prevGnaiger Erich at 14:59, 6 July 20202020-07-06T14:59:15Z<p></p>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] 2020-07-<del style="font-weight: bold; text-decoration: none;">04. — Stave II </del>in <del style="font-weight: bold; text-decoration: none;">the </del>[[MitoFit_2020.4.v0#<del style="font-weight: bold; text-decoration: none;">XX-mass_carols </del>|'''''<del style="font-weight: bold; text-decoration: none;">XX</del>''<del style="font-weight: bold; text-decoration: none;">-mass carols</del>''']] of '''A ''X''-mass Carol'''<del style="font-weight: bold; text-decoration: none;">.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> Communicated by [[Gnaiger Erich]] 2020-07-<ins style="font-weight: bold; text-decoration: none;">06</ins></div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"> </ins>in<ins style="font-weight: bold; text-decoration: none;">: Anastrophe ''XX'' </ins>[[MitoFit_2020.4.v0#<ins style="font-weight: bold; text-decoration: none;">Anastrophe_XX:_Entity_X_and_the_elementary_unit_.5Bx.5D </ins>|'''<ins style="font-weight: bold; text-decoration: none;">Entity </ins>''<ins style="font-weight: bold; text-decoration: none;">X</ins>'' <ins style="font-weight: bold; text-decoration: none;">and the elementary unit x</ins>''']] of '''A ''X''-mass Carol'''</div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|mitopedia concept=Ergodynamics</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>|mitopedia concept=Ergodynamics</div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=204519&oldid=prevGnaiger Erich at 22:21, 3 July 20202020-07-03T22:21:39Z<p></p>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|abbr=''u''''Q''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|abbr=<ins style="font-weight: bold; text-decoration: none;">''U''<sub>''X''</sub>; </ins>''u''<ins style="font-weight: bold; text-decoration: none;"><sub></ins>''Q''<ins style="font-weight: bold; text-decoration: none;"></sub></ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|description=''unit''</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|description=<ins style="font-weight: bold; text-decoration: none;">A '''unit''' is defined as 'a single individual thing' in Euclid's ''Elements'' (Book VII). This defines the elementary unit-entity ''U''<sub>''X''</sub> of entity-type ''X'' (thing). The [[International System of Units]] defines the unit as 'simply a particular example of the quantity concerned which is used as a reference'. Then the ''value'' of a quantity ''Q'' is the product of a number ''N'' and a unit ''u''<sub>''Q''</sub>. The symbols ''U''<sub>''X''</sub> and ''u''<sub>''Q''</sub> chosen here with ''U'' and ''u'' for 'unit' and subscripts ''X'' and ''Q'' for 'entity-type' and 'quantity-type' reflect perhaps even more clearly than words the contrasting meanings of the two fundamental definitions of a 'unit', which are used and confused in practical language and the scientific literature today. In the unit-entity ''U''<sub>''X''</sub>, the unit (the 'one') relates to the entity-type ''X'', to the single individual thing (single individual or undivided; the root of the word ''thing'' has the meaning of 'assembly'). The quantity involved in the unit of a single thing is the ''count'', ''N''<sub>''X''</sub> = 1 x. In contrast to counting, a unit </ins>''<ins style="font-weight: bold; text-decoration: none;">u''<sub>''Q''</sub> is linked to the measurement of quantities ''Q''<sub>''u''</sub> = ''N'' ''u''<sub>''Q''</sub>, such as volume, mass, energy; and these quantities — and hence the units ''u''<sub>''Q''</sub> — are abstracted from entity-types, pulled away from the world of real things. The new SI (2019-05-20) has completed this total abstraction of units, from the previous necessity to not only provide a quantitative definition but also a physical realization of a unit in the form of an 'artefact', such as the international prototype (IPK) for the unit kilogram. The new definitions of the base SI units are independent of any physical realization: ''u''<sub>''Q''</sub> is separate from ''X''. The classical unit of Euklid is the elementary </ins>unit <ins style="font-weight: bold; text-decoration: none;">for counting, entirely independent of measuring. Therefore, the quantity [[count]] is unique with respect to two properties: (''1'') in contrast to all other quantities in the metric system, the count depends on quantization of entities ''X''; and (''2'') in the SI, the '''N'''umber 1 is the '''U'''nit of the '''C</ins>''<ins style="font-weight: bold; text-decoration: none;">'ount of '''entities''' — NUCE.</ins></div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>|info=[[MitoFit 2020.4]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>|info=<ins style="font-weight: bold; text-decoration: none;">[[Bureau International des Poids et Mesures 2019 The International System of Units (SI)]], </ins>[[MitoFit 2020.4]]</div></td></tr>
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<tr><td colspan="2"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"> Communicated by [[Gnaiger Erich]] 2020-07-04. — Stave II in the [[MitoFit_2020.4.v0#XX-mass_carols |'''''XX''-mass carols''']] of '''A ''X''-mass Carol'''.</ins></div></td></tr>
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</table>Gnaiger Erichhttps://wiki.oroboros.at/index.php?title=Unit&diff=204463&oldid=prevGnaiger Erich at 06:13, 3 July 20202020-07-03T06:13:45Z<p></p>
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