Anki Deck Changes

Commit: edceee34 - Fixed all diskmat tags, some notes still only tagged on chapter level + New Note Type!

Author: lhorva <lhorva@student.ethz.ch>

Date: 2025-12-09T22:48:41+01:00

Changes: 429 note(s) changed (2 added, 427 modified, 0 deleted)

ℹ️ Cosmetic Changes Hidden: 425 note(s) had formatting-only changes and are not shown below

Note 1: ETH::DiskMat

Deck: ETH::DiskMat
Note Type: Basic (with MathJax)
GUID: wV8Y&j0xY.
modified

Before

Front

Name the binding strengths of PL tokens in order.

Back

Name the binding strengths of PL tokens in order.

 - unary operators (NOT)
 - quantifiers (for all and exists)
 - operators (AND, OR)
 - Implication

After

Front

ETH::1._Semester::DiskMat::2._Math._Reasoning,_Proofs,_and_a_First_Approach_to_Logic::3._A_First_Introduction_to_Propositional_Logic::1._Logical_Constants,_Operators,_and_Formulas PlsFix::ClozeThatBish
Name the binding strengths of PL tokens in order.

Back

ETH::1._Semester::DiskMat::2._Math._Reasoning,_Proofs,_and_a_First_Approach_to_Logic::3._A_First_Introduction_to_Propositional_Logic::1._Logical_Constants,_Operators,_and_Formulas PlsFix::ClozeThatBish
Name the binding strengths of PL tokens in order.

 - unary operators (NOT)
 - quantifiers (for all and exists)
 - operators (AND, OR)
 - Implication
Tags: ETH::1._Semester::DiskMat::2._Math._Reasoning,_Proofs,_and_a_First_Approach_to_Logic::3._A_First_Introduction_to_Propositional_Logic::1._Logical_Constants,_Operators,_and_Formulas PlsFix::ClozeThatBish

Note 2: ETH::DiskMat

Deck: ETH::DiskMat
Note Type: Cloze (with MathJax)
GUID: xH`d$W-97_
modified

Before

Front

ETH::1._Semester::DiskMat::ch5::group-properties ETH::1._Semester::DiskMat::ch5::groups

In a Group:
\(\widehat{(\widehat{a})} =\) \(a\) (inverse of inverse is the original element). This is a property from a Lemma.

Back

ETH::1._Semester::DiskMat::ch5::group-properties ETH::1._Semester::DiskMat::ch5::groups

In a Group:
\(\widehat{(\widehat{a})} =\) \(a\) (inverse of inverse is the original element). This is a property from a Lemma.

After

Front

ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups

In a Group:
\(\widehat{(\widehat{a})} =\) \(a\) (inverse of inverse is the original element). This is a property from Lemma 5.3.

Back

ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups

In a Group:
\(\widehat{(\widehat{a})} =\) \(a\) (inverse of inverse is the original element). This is a property from Lemma 5.3.

Field-by-field Comparison
Field Before After
Text <p>In a Group:<br> \(\widehat{(\widehat{a})} =\){{c1:: \(a\) }} {{c1:: (inverse of inverse is the original element)}}. This is a property from a Lemma.</p> <p>In a Group:<br> \(\widehat{(\widehat{a})} =\){{c1:: \(a\) }} {{c1:: (inverse of inverse is the original element)}}. This is a property from Lemma 5.3.</p>
Tags: ETH::1._Semester::DiskMat::ch5::group-properties ETH::1._Semester::DiskMat::ch5::groups ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups

Note 3: ETH::DiskMat

Deck: ETH::DiskMat
Note Type: Cloze (with MathJax)
GUID: y`5($Q$d37
added

Previous

Note did not exist

New Note

Front

ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups
Eine Gruppe ist eine Menge \(G\) mit Operation \( * \) mit folgenden Eigenschaften:
    {{c2::
  • Assoziativität: \((a * b) * c = a * (b*c)\)
  • Neutrales Element existiert: \( a * e = e * a = a \)
  • Jedes Element \(a\in G\) hat eine Inverse: \( a * a^{-1} = a^{-1} * a = e\)
  • }}

Back

ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups
Eine Gruppe ist eine Menge \(G\) mit Operation \( * \) mit folgenden Eigenschaften:
    {{c2::
  • Assoziativität: \((a * b) * c = a * (b*c)\)
  • Neutrales Element existiert: \( a * e = e * a = a \)
  • Jedes Element \(a\in G\) hat eine Inverse: \( a * a^{-1} = a^{-1} * a = e\)
  • }}
Field-by-field Comparison
Field Before After
Text {{c1::Eine Gruppe}} ist eine {{c1::Menge \(G\) mit Operation&nbsp;\( * \)}} mit folgenden Eigenschaften:<ul>{{c2::<li> Assoziativität:&nbsp;\((a * b) * c = a * (b*c)\)</li><li>Neutrales Element existiert:&nbsp;\( a * e = e * a = a \)</li><li>Jedes Element \(a\in G\) hat eine Inverse:&nbsp;\( a * a^{-1} = a^{-1} * a = e\)</li>}}<br></ul>
Tags: ETH::1._Semester::DiskMat::5._Algebra::2._Monoids_and_Groups::3._Inverses_and_Groups

Note 4: ETH::DiskMat

Deck: ETH::DiskMat
Note Type: Cloze (with MathJax)
GUID: BG+yKyLb,^
added

Previous

Note did not exist

New Note

Front

ETH::1._Semester::DiskMat::5._Algebra::5._Rings_and_Fields::1._Definition_of_a_Ring
Ein Körper ist eine Menge {{c1::\( \mathbb{K}\) mit Operationen \(+ , *\)}} mit folgenden Eigenschaften:
{{c2::
- \( (\mathbb{K}, +)\) ist eine abelsche Gruppe
- \( (\mathbb{K} \backslash \{0\}, *)\) ist eine abelsche Gruppe
- Distributivität: \( a * (b+c) = a*b + a*c\)
}}

Back

ETH::1._Semester::DiskMat::5._Algebra::5._Rings_and_Fields::1._Definition_of_a_Ring
Ein Körper ist eine Menge {{c1::\( \mathbb{K}\) mit Operationen \(+ , *\)}} mit folgenden Eigenschaften:
{{c2::
- \( (\mathbb{K}, +)\) ist eine abelsche Gruppe
- \( (\mathbb{K} \backslash \{0\}, *)\) ist eine abelsche Gruppe
- Distributivität: \( a * (b+c) = a*b + a*c\)
}}

Beispiel: \( \mathbb{Q}, \mathbb{R}\)
Field-by-field Comparison
Field Before After
Text {{c1::Ein Körper}} ist eine Menge&nbsp;{{c1::\( \mathbb{K}\) mit Operationen&nbsp;\(+ , *\)}} mit folgenden Eigenschaften:<div>{{c2::<div>-&nbsp;\( (\mathbb{K}, +)\) ist eine abelsche Gruppe</div><div>-&nbsp;\( (\mathbb{K} \backslash \{0\}, *)\) ist eine abelsche Gruppe</div><div>- Distributivität:&nbsp;\( a * (b+c) = a*b + a*c\)</div>}}<br></div>
Extra Beispiel:&nbsp;\( \mathbb{Q}, \mathbb{R}\)
Tags: ETH::1._Semester::DiskMat::5._Algebra::5._Rings_and_Fields::1._Definition_of_a_Ring
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