# on 09-May-2018 (Wed)

#### Flashcard 1739356507404

Tags
#linear-algebra #matrix-decomposition
Question
Cholesky decomposability implies that if A can be written as LL* for some invertible L then A is [...]
Hermitian and positive definite.

L can be lower triangular or otherwise,

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The converse holds trivially: if A can be written as LL* for some invertible L, lower triangular or otherwise, then A is Hermitian and positive definite.

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Cholesky decomposition - Wikipedia
s 7 Generalization 8 Implementations in programming languages 9 See also 10 Notes 11 References 12 External links 12.1 History of science 12.2 Information 12.3 Computer code 12.4 Use of the matrix in simulation 12.5 Online calculators <span>Statement[edit source] The Cholesky decomposition of a Hermitian positive-definite matrix A is a decomposition of the form A = L L ∗ , {\displaystyle \mathbf {A} =\mathbf {LL} ^{*},} where L is a lower triangular matrix with real and positive diagonal entries, and L* denotes the conjugate transpose of L. Every Hermitian positive-definite matrix (and thus also every real-valued symmetric positive-definite matrix) has a unique Cholesky decomposition. [2] If the matrix A is Hermitian and positive semi-definite, then it still has a decomposition of the form A = LL* if the diagonal entries of L are allowed to be zero. [3] When A has real entries, L has real entries as well, and the factorization may be written A = LL T . [4] The Cholesky decomposition is unique when A is positive definite; there is only one lower triangular matrix L with strictly positive diagonal entries such that A = LL*. However, the decomposition need not be unique when A is positive semidefinite. The converse holds trivially: if A can be written as LL* for some invertible L, lower triangular or otherwise, then A is Hermitian and positive definite. LDL decomposition[edit source] A closely related variant of the classical Cholesky decomposition is the LDL decomposition, A =

#### Flashcard 1749179305228

Tags
#has-images
[unknown IMAGE 1784662068492]
Question
In mathematics, a Cauchy sequence is a sequence whose elements [...] as the sequence progresses.
become arbitrarily close to each other

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In mathematics, a Cauchy sequence a sequence whose elements become arbitrarily close to each other as the sequence progresses.

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Cauchy sequence - Wikipedia
"ultimate destination" of this sequence (that is, the limit) exists. [imagelink] (b) A sequence that is not Cauchy. The elements of the sequence fail to get arbitrarily close to each other as the sequence progresses. <span>In mathematics, a Cauchy sequence ( French pronunciation: ​ [koʃi]; English: /ˈkoʊʃiː/ KOH-shee), named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses. [1] More precisely, given any small positive distance, all but a finite number of elements of the sequence are less than that given distance from each other. It is not sufficient for

#### Annotation 1767522307340

 #rome The Roman Republic (Latin: Res publica Romana ; Classical Latin: [ˈreːs ˈpuːb.lɪ.ka roːˈmaː.na] ) was the era of ancient Roman civilization beginning with the overthrow of the Roman Kingdom, traditionally dated to 509 BC, and ending in 27 BC with the establishment of the Roman Empire.

Roman Republic - Wikipedia
art of a series on Ancient Rome and the fall of the Republic Mark Antony Cleopatra VII Assassination of Julius Caesar Pompey Theatre of Pompey Cicero First Triumvirate Roman Forum Comitium Rostra Curia Julia Curia Hostilia v t e <span>The Roman Republic (Latin: Res publica Romana; Classical Latin: [ˈreːs ˈpuːb.lɪ.ka roːˈmaː.na]) was the era of ancient Roman civilization beginning with the overthrow of the Roman Kingdom, traditionally dated to 509 BC, and ending in 27 BC with the establishment of the Roman Empire. It was during this period that Rome's control expanded from the city's immediate surroundings to hegemony over the entire Mediterranean world. Roman government was headed by two consu

#### Flashcard 1767524404492

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#rome
Question
The Roman Republic began in [...]
509 BC

Apparently the Romans are beginning to lace up.

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> The Roman Republic (Latin: Res publica Romana ; Classical Latin: [ˈreːs ˈpuːb.lɪ.ka roːˈmaː.na] ) was the era of ancient Roman civilization beginning with the overthrow of the Roman Kingdom, traditionally dated to 509 BC, and ending in 27 BC with the establishment of the Roman Empire. <span><body><html>

#### Original toplevel document

Roman Republic - Wikipedia
art of a series on Ancient Rome and the fall of the Republic Mark Antony Cleopatra VII Assassination of Julius Caesar Pompey Theatre of Pompey Cicero First Triumvirate Roman Forum Comitium Rostra Curia Julia Curia Hostilia v t e <span>The Roman Republic (Latin: Res publica Romana; Classical Latin: [ˈreːs ˈpuːb.lɪ.ka roːˈmaː.na]) was the era of ancient Roman civilization beginning with the overthrow of the Roman Kingdom, traditionally dated to 509 BC, and ending in 27 BC with the establishment of the Roman Empire. It was during this period that Rome's control expanded from the city's immediate surroundings to hegemony over the entire Mediterranean world. Roman government was headed by two consu

#### Flashcard 1803039673612

Tags
#linguistics #verbs
Question
Perfective aspect doesn't refer to any [...]
duration of time
("I helped him")

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Perfective aspect refers to an event conceived as bounded and unitary, without reference to any flow of time during ("I helped him")

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Grammatical aspect - Wikipedia
onstruction Singulative-Collective-Pluractive Specificity Subject/Object Suffixaufnahme (Case stacking) Tense Tense–aspect–mood Telicity Transitivity Topic and Comment Thematic relation (Agent/Patient) Valency Voice Volition v t e <span>Aspect is a grammatical category that expresses how an action, event, or state, denoted by a verb, extends over time. Perfective aspect is used in referring to an event conceived as bounded and unitary, without reference to any flow of time during ("I helped him"). Imperfective aspect is used for situations conceived as existing continuously or repetitively as time flows ("I was helping him"; "I used to help people"). Further distinctions can be made, for example, to distinguish states and ongoing actions (continuous and progressive aspects) from repetitive actions (habitual aspect). Certain aspe

#### Flashcard 1803165502732

Tags
#french #verbs
Question
In other verbs with -e- in the infinitive, the final consonant is doubled in all but [...] forms.
the nous and vous

jeter: je jette; tu jettes; il, elle, on jette; nous jetons; vous jetez; ils, elles jettent
These are the shorter words, one syllable.

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In other verbs with -e- in the infinitive, the final consonant is doubled in all but the nous and vous forms. jeter: je jette; tu jettes; il, elle, on jette; nous jetons; vous jetez; ils, elles jettent

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#### Flashcard 1803476143372

Tags
#jaynes #plausible-reasoning
Question
The [...] sign in logic and computer science has totally different meanings
equal

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The equal sign in logic and computer science has totally different meanings

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#### Flashcard 1803881942284

Tags
#computer-science
Question
in the context of data storage, serialization translates data structures into a format that can be [...] later
stored or transmitted and reconstructed

The string of operations

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in the context of data storage, serialization translates data structures into a format that can be stored or transmitted and reconstructed later

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Serialization - Wikipedia
require cleanup to meet Wikipedia's quality standards and make it more accessible to a general audience. Please discuss this issue on the talk page. (March 2012) (Learn how and when to remove this template message) In computer science, <span>in the context of data storage, serialization is the process of translating data structures or object state into a format that can be stored (for example, in a file or memory buffer) or transmitted (for example, across a network connection link) and reconstructed later (possibly in a different computer environment). [1] When the resulting series of bits is reread according to the serialization format, it can be used to create a semantically identical

#### Flashcard 2286906641676

Tags
#french #verbs
Question
The imperative is made negative by [...]

example: don't work!

placing ne or n’ before the imperative form of the verb and pas after it

Ne travaille pas!

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The imperative is made negative by placing ne or n’ before the imperative form of the verb and pas after it

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#### Flashcard 2286909000972

Tags
#french #verbs
Question
Note that the reflexive pronoun te does not change in [...].

example: don't wake up!
the negative imperative

Ne te réveille pas!

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Note that the reflexive pronoun te does not change in the negative imperative.

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#### Flashcard 2286918700300

Tags
#french #verbs
Question
When the present participle is used as [...], it agrees with the noun it modifies.

example:
He speaks with a menacing voice.

Il parle d’une voix menaçante.

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When the present participle is used as an adjective, it agrees with the noun it modifies.

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#### Flashcard 2286922632460

Tags
#french #verbs
Question
The present participle is invariable when expressing [...]

example: I see my father cooking.
a concurrent action

Je vois mon père faisant la cuisine.

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The present participle is invariable when expressing an concurrent action

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#### Flashcard 2286924991756

Tags
#french #verbs
Question
The imperfect tense indicates actions that [...time...].

example: they always eat at this restaurant.
begun in the past but not necessarily completed

Elles mangeaient toujours dans ce restaurant.

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The imperfect tense is used to indicate actions begun in the past but not necessarily completed. It is used to express those past actions which are habitual or customary.

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#### Flashcard 2286927351052

Tags
#french #verbs
Question
The imperfect tense expresses past actions which are [...characteristics...].
habitual or customary

Elles mangeaient toujours dans ce restaurant.

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The imperfect tense is used to indicate actions begun in the past but not necessarily completed. It is used to express those past actions which are habitual or customary.

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#### Flashcard 2286967983372

Tags
#french #verbs
Question
The future tense of most verbs is formed by [...].
adding -ai, -as, -a, -ons, -ez, -ont to the infinitive

All verbs with different endings share the same pattern, great!

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The future tense of most verbs is formed by adding -ai, -as, -a, -ons, -ez, -ont to the infinitive. The final -e of -re verbs is dropped before adding the future endings. The future tense is used as in English to express an event or describe a condition that will take place in the fu

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#### Flashcard 2286972701964

Tags
#french #verbs
Question
The present conditional is formed by adding the endings [...] to the future stem of the verb.

example:
In that case, I would come.
-ais, -ais, -ait, -ions, -iez, -aient

Dans ce cas-là, je viendrais.

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The present conditional is formed by adding the endings -ais, -ais, -ait, -ions, -iez, -aient to the future stem of the verb. Note that the endings are the same as those for the imperfect tense.

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#### Flashcard 2286975323404

Tags
#french #verbs
Question
The present conditional is formed by adding the endings to [...].

example: In that case, I would come.
the future stem of the verb

Dans ce cas-là, je viendrais.

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The present conditional is formed by adding the endings -ais, -ais, -ait, -ions, -iez, -aient to the future stem of the verb. Note that the endings are the same as those for the imperfect tense.

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#### Flashcard 2286982663436

Tags
#french #verbs
Question
The pluperfect tense is formed by using [...] with the past participle.

example: She had spoken and then we left.
the imperfect tense of the verb avoir or être

Elle avait parlé et ensuite nous sommes partis.

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The pluperfect tense is formed by using the imperfect tense of the verb avoir or être with the past participle.

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#### Flashcard 2287003110668

Tags
#french #verbs
Question
Depuis, il y avait. . . que, voilà . . . que and ça faisait. . . que are used with [...] tense to mean had been

example: How long had he been waiting?
the imperfect

Depuis quand attendait-il?

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Depuis, il y avait. . . que, voilà . . . que and ça faisait. . . que are used with the imperfect tense to mean had been

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#### Flashcard 2287010974988

Tags
#french #verbs
Question
Venir de in the imperfect tense means [...].

Il venait d’arriver.

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Venir de in the imperfect tense means had just done something . Il venait d’arriver. He had just arrived

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#### Flashcard 2287022771468

Tags
#french #verbs
Question
The passé composé is used when talking about something that [...time range...].
happened and completed in the past

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The passé composé is used when talking about something that happened and completed in the past.

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#### Flashcard 2960408055052

Tags
#Géologie
Question
Moyen des altitudes des continents et océans ?
+100m pour les continents
-4 500m pour les océans

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#### Flashcard 2960409890060

Tags
#Géologie
Question
Quelle sont les différentes croûtes terrestres qui existe ?
La croûte continental et la croûte océanique

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#### Annotation 2960687500556

 #viterbi-algorithm This algorithm generates a path X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})} , which is a sequence of states x n ∈ S = { s 1 , s 2 , … , s K } {\displaystyle x_{n}\in S=\{s_{1},s_{2},\dots ,s_{K}\}} that generate the observations Y = ( y 1 , y 2 , … , y T ) {\displaystyle Y=(y_{1},y_{2},\ldots ,y_{T})} with y n ∈ O = { o 1 , o 2 , … , o N } {\displaystyle y_{n}\in O=\{o_{1},o_{2},\dots ,o_{N}\}} ( N {\displaystyle N} being the count of observations (observation space, see below))

Viterbi algorithm - Wikipedia
ds to, and usually manages to get away with doing a lot less work (in software) than the ordinary Viterbi algorithm for the same result—however, it is not so easy [clarification needed] to parallelize in hardware. Pseudocode[edit source] <span>This algorithm generates a path X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})} , which is a sequence of states x n ∈ S = { s 1 , s 2 , … , s K } {\displaystyle x_{n}\in S=\{s_{1},s_{2},\dots ,s_{K}\}} that generate the observations Y = ( y 1 , y 2 , … , y T ) {\displaystyle Y=(y_{1},y_{2},\ldots ,y_{T})} with y n ∈ O = { o 1 , o 2 , … , o N } {\displaystyle y_{n}\in O=\{o_{1},o_{2},\dots ,o_{N}\}} ( N {\displaystyle N} being the count of observations (observation space, see below)). Two 2-dimensional tables of size K × T {\displaystyle K\times T} are constructed: Each element

#### Flashcard 2960689073420

Tags
#viterbi-algorithm
Question
This algorithm generates a path [...] , which is a sequence of states x n ∈ S = { s 1 , s 2 , … , s K } {\displaystyle x_{n}\in S=\{s_{1},s_{2},\dots ,s_{K}\}} that generate the observations Y = ( y 1 , y 2 , … , y T ) {\displaystyle Y=(y_{1},y_{2},\ldots ,y_{T})} with y n ∈ O = { o 1 , o 2 , … , o N } {\displaystyle y_{n}\in O=\{o_{1},o_{2},\dots ,o_{N}\}} ( N {\displaystyle N} being the count of observations (observation space, see below))
X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})}

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This algorithm generates a path X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})} , which is a sequence of states x n ∈ S = { s 1 , s 2 , … , s K } {\displaystyle x_{n}\in S=\{s_{1},s_{2},\dots ,s_{K}\}} that generate the observations Y = ( y 1 , y 2 , … , y T ) {\

#### Original toplevel document

Viterbi algorithm - Wikipedia
ds to, and usually manages to get away with doing a lot less work (in software) than the ordinary Viterbi algorithm for the same result—however, it is not so easy [clarification needed] to parallelize in hardware. Pseudocode[edit source] <span>This algorithm generates a path X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})} , which is a sequence of states x n ∈ S = { s 1 , s 2 , … , s K } {\displaystyle x_{n}\in S=\{s_{1},s_{2},\dots ,s_{K}\}} that generate the observations Y = ( y 1 , y 2 , … , y T ) {\displaystyle Y=(y_{1},y_{2},\ldots ,y_{T})} with y n ∈ O = { o 1 , o 2 , … , o N } {\displaystyle y_{n}\in O=\{o_{1},o_{2},\dots ,o_{N}\}} ( N {\displaystyle N} being the count of observations (observation space, see below)). Two 2-dimensional tables of size K × T {\displaystyle K\times T} are constructed: Each element

#### Annotation 2960691957004

 #jaynes Jaynes strongly promoted the interpretation of probability theory as an extension of logic.

Edwin Thompson Jaynes - Wikipedia
e, initiating in 1957 the maximum entropy interpretation of thermodynamics [2] [3] as being a particular application of more general Bayesian/information theory techniques (although he argued this was already implicit in the works of Gibbs). <span>Jaynes strongly promoted the interpretation of probability theory as an extension of logic. In 1963, together with Fred Cummings, he modeled the evolution of a two-level atom in an electromagnetic field, in a fully quantized way. This model is known as the Jaynes–Cummings mo

#### Flashcard 2960701132044

Tags
#jaynes
Question
Jaynes strongly promoted the interpretation of probability theory as [...].
an extension of logic

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Jaynes strongly promoted the interpretation of probability theory as an extension of logic.

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Edwin Thompson Jaynes - Wikipedia
e, initiating in 1957 the maximum entropy interpretation of thermodynamics [2] [3] as being a particular application of more general Bayesian/information theory techniques (although he argued this was already implicit in the works of Gibbs). <span>Jaynes strongly promoted the interpretation of probability theory as an extension of logic. In 1963, together with Fred Cummings, he modeled the evolution of a two-level atom in an electromagnetic field, in a fully quantized way. This model is known as the Jaynes–Cummings mo

#### Annotation 2960721317132

 #jardin-dhiver Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiver

Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics <span>Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiverJe voudrais de la lumièreComme en Nouvelle-AngleterreJe veux changer d'atmosphèreDans mon jardin d'hiverTa robe à fleurSous la pluie de novembreMes mains qui courentJe n'en peux plus de

#### Flashcard 2960722889996

Tags
#jardin-dhiver
Question
Je voudrais [...]
Des dentelles et des théières
du soleil vert

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Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiver

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Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics <span>Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiverJe voudrais de la lumièreComme en Nouvelle-AngleterreJe veux changer d'atmosphèreDans mon jardin d'hiverTa robe à fleurSous la pluie de novembreMes mains qui courentJe n'en peux plus de

#### Flashcard 2960725249292

Tags
#jardin-dhiver
Question
Je voudrais du soleil vert
[...]
(Des photos de bord de mer
Dans mon jardin d'hiver)
Des dentelles et des théières

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Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiver

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Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics <span>Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiverJe voudrais de la lumièreComme en Nouvelle-AngleterreJe veux changer d'atmosphèreDans mon jardin d'hiverTa robe à fleurSous la pluie de novembreMes mains qui courentJe n'en peux plus de

#### Flashcard 2960727608588

Tags
#jardin-dhiver
Question
(Je voudrais du ...)
Des dentelles et des théières
[...]
Dans mon jardin d'hiver
Des photos de bord de mer

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Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiver

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Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics <span>Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiverJe voudrais de la lumièreComme en Nouvelle-AngleterreJe veux changer d'atmosphèreDans mon jardin d'hiverTa robe à fleurSous la pluie de novembreMes mains qui courentJe n'en peux plus de

#### Flashcard 2960729967884

Tags
#jardin-dhiver
Question
(Je voudrais du ...
Des ... et des ...)
Des photos de bord de mer
[...]
Dans mon jardin d'hiver

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Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiver

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Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics <span>Je voudrais du soleil vertDes dentelles et des théièresDes photos de bord de merDans mon jardin d'hiverJe voudrais de la lumièreComme en Nouvelle-AngleterreJe veux changer d'atmosphèreDans mon jardin d'hiverTa robe à fleurSous la pluie de novembreMes mains qui courentJe n'en peux plus de

#### Flashcard 2961638821132

Tags
#french #verbs
Question
Si + the [...] can be used to express a wish or suggestion.

on or nous form of the imperfect tense

Si on jouait au tennis?

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Si + the on or nous form of the imperfect tense can be used to express a wish or suggestion. Si on jouait au tennis? How about playing tennis? Il a une nouvelle voiture. He has a new car. Si j’avais une nouve

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