on 30-Apr-2018 (Mon)

Flashcard 1796953214220

Tags
#hilbert-space
Question

The dot product satisfies three properties: symmetric in its arguments; [...] ; and positive definite for all non-zero vectors

linear in its first argument

The slip properties

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Parent (intermediate) annotation

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The dot product satisfies three properties: symmetric in its arguments; linear in its first argument; and positive definite for all non-zero vectors

Original toplevel document

Hilbert space - Wikipedia
3 . {\displaystyle {\begin{pmatrix}x_{1}\\x_{2}\\x_{3}\end{pmatrix}}\cdot {\begin{pmatrix}y_{1}\\y_{2}\\y_{3}\end{pmatrix}}=x_{1}y_{1}+x_{2}y_{2}+x_{3}y_{3}\,.} <span>The dot product satisfies the properties: It is symmetric in x and y: x · y = y · x. It is linear in its first argument: (ax 1 + bx 2 ) · y = ax 1 · y + bx 2 · y for any scalars a, b, and vectors x 1 , x 2 , and y. It is positive definite: for all vectors x, x · x ≥ 0 , with equality if and only if x = 0. An operation on pairs of vectors that, like the dot product, satisfies these three properties is known as a (real) inner product. A vector space equipped with such an inner product is

Flashcard 1804591303948

Tags
#vim
Question
[... command line ...] - Split windows horizontally
:sp

or ctrl+ws

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Parent (intermediate) annotation

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ctrl+ws - Split windows horizontally

Original toplevel document

A Great Vim Cheat Sheet
ace all old with new throughout file with confirmations ##Working with multiple files :e filename - Edit a file :tabe - Make a new tab gt - Go to the next tab gT - Go to the previous tab Advanced :vsp - vertically split windows <span>ctrl+ws - Split windows horizontally ctrl+wv - Split windows vertically ctrl+ww - switch between windows ctrl+wq - Quit a window ##Marks Marks allow you to jump to designated points in your code. m{a-z} - Set

Flashcard 1804666539276

Tags
#shell
Question
# searches backward [...]
CTRL+R

status measured difficulty not learned 37% [default] 0
Bash CheatSheet for UNIX Systems --&gt; UPDATED VERSION --&gt; https://github.com/LeCoupa/awesome-cheatsheets · GitHub
forward to end of line CTRL+L # clears screen and redisplay the line CTRL+M # same as RETURN CTRL+N # next line in command history CTRL+O # same as RETURN, then displays next line in history file CTRL+P # previous line in command history <span>CTRL+R # searches backward CTRL+S # searches forward CTRL+T # transposes two characters CTRL+U # kills backward from point to the beginning of line CTRL+V # makes the next character typed verbatim CTRL+W # k

Annotation 1804670209292

#french #verbs
Reflexive or pronominal verbs always have an object pronoun that refers to the same person or thing as the subject

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Annotation 1804671782156

#french #verbs
The imperative or command is the same form as the second person singular and the first and second person plural forms of the verb without the pronoun. For -er verbs, the s is dropped from the second person singular to form the imperative.

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Annotation 1804673355020

#french #verbs
In the aﬃrmative imperative, the reflexive pronoun follows the verb and is joined to it by a hyphen

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Annotation 1804674927884

#french #verbs
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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Annotation 1804676500748

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

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Annotation 1804678073612

#french #verbs
The present participle is formed by dropping the ending -ons from the first person plural of the present tense and adding -ant.

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Annotation 1804679646476

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

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Annotation 1804681219340

#french #verbs
The present participle is invariable when expressing an concurrent action

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Annotation 1804682792204

#french #verbs
The imperfect tense is formed by dropping the -ons ending from the first person plural of the present tense and adding the endings -ais, -ais, -ait, -ions, -iez, -aient.

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Annotation 1804684365068

#french #verbs
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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Annotation 1804685937932

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

The passé composé of most verbs is formed by adding the present tense of the auxiliary verb avoir to the past participle.

The past participle of -er verbs is formed by adding -é to the infinitive stem.

The passé composé is also called the conversational past tense.

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Annotation 1804687510796

#french #verbs
The past participle of -ir verbs is formed by adding -i to the infinitive stem. Some verbs whose infinitive ends in -ir have regular past participles even though they are irregular in the present tense.

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Annotation 1804689083660

#french #verbs
The past participle of -re verbs is formed by adding -u to the infinitive stem. Some -re verbs that are irregular in the present tense have regular past participles.

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Annotation 1804690656524

#french #verbs
With verbs conjugated with e ˆ tre, the past participle agrees in number and in gender with the subject.

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Annotation 1804692229388

#french #verbs
The passe ´ simple or literary past tense is a past tense that designates a completed action in the past with no relation to the present tense. The passe ´ simple is used in literary contexts whereas the passe ´ compose ´ is used in conversation and in informal writing.

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Annotation 1804693802252

#french #verbs
The passé simple of regular -er verbs is formed by dropping the -er ending from the infinitive and adding the endings -ai, -as, -a, -âmes, -âtes, -èrent

je parlai
tu parlas
il, elle, on parla
nous parlâmes
vous parlâtes
ils, elles parlèrent

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Annotation 1804695375116

#french #verbs
the passé simple of -ir and -re verbs have the endings -is, -is, -it, -îmes, -îtes, -irent

je finis
tu finis
il, elle, on finit
nous finîmes
vous finîtes
ils, elles finirent

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Annotation 1804696947980

#french #verbs
for regular -ir verbs, that the singular forms of the present tense and the passé simple are identical

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Annotation 1804698520844

#french #verbs
The immediate future can be expressed by using the verb aller with an infinitive. This is the equivalent of the English to be going to

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Annotation 1804700093708

#french #verbs
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 future

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Annotation 1804702977292

#french #verbs
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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Annotation 1804704550156

#french #verbs
The compound tenses are formed by using the appropriate tense of the auxiliary verb avoir or e ˆ tre and the past participle.

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Annotation 1804706123020

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

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Annotation 1804707695884

#french #verbs
The pluperfect tense expresses a past action completed prior to another past action that is either mentioned or understood from the context.

Elle avait parlé et ensuite nous sommes partis. She had spoken and then we left.
Ils avaient déjà terminé quand je suis parti. They had already finished when I left.
Elles étaient déjà descendues quand je suis entré. They had already come down when I came in.
Elle m’a demandé si j’avais vu le film. She asked me if I had seen the film.

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Annotation 1804709268748

#french #verbs
The future perfect tense (futur ante ´ rieur) is formed by using the future tense of the auxiliary verb avoir or e ˆ tre with the past participle.

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Annotation 1804710841612

#french #verbs
The future perfect tense is used to express a future action that will be completed prior to another future action. Elles auront mange ´ avant mon arrive ´ e. They will have eaten before my arrival. Il sera de ´ ja  parti quand vous arriverez. He will have already left when you arrive. Nous nous serons couche ´ s quand vous reviendrez. We will have already gone to bed when you return. Demain a  cette heure, nous serons arrive ´ s en France. Tomorrow at this time, we will have arrived in France

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Annotation 1804712414476

#french #verbs
The past conditional (passe ´ du conditionnel) is formed by using the conditional tense of the auxiliary verb avoir or e ˆ tre and the past participle

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Annotation 1804713987340

#french #verbs
The past conditional is used to describe what would have taken place if something else had not interfered. Dans ce cas-la  , j’aurais refuse ´ . In that case, I would have refused. Ils auraient fait le voyage, mais ils n’avaient pas assez d’argent. They would have taken the trip, but they didn’t have enough money

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Annotation 1804715560204

#french #verbs
The passe ´ ante ´ rieur is formed by using the passe ´ simple of the auxiliary verb avoir or e ˆ tre and the past participle

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Annotation 1804717133068

#french #verbs
The passe ´ surcompose ´ is a double compound tense formed by using the passe ´ compose ´ of the auxiliary verb avoir and the past participle. It is rarely used with verbs conjugated with e ˆ tre except when these verbs imply result, not action

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Annotation 1804718705932

#french #verbs
Like the plus-que-parfait, the passe ´ ante ´ rieur expresses a past action that occurred before another past action. It is usually used in subordinate clauses after quand, lorsque, apre  s que, aussito ˆ t que, de  s que or a  peine which indicate a past action immediately preceding another.

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Annotation 1804720278796

#french #verbs
The passe ´ ante ´ rieur is only used in written language. In spoken language, it is replaced by the passe ´ surcompose ´ . Quand il a eu fini, il est parti. When he had finished, he left

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Flashcard 1846363950348

Tags
#french #verbs
Question
Reflexive verbs or pronominal verbs always have an [...] that refers to the same person or thing as the subject
object pronoun

status measured difficulty not learned 37% [default] 0

Parent (intermediate) annotation

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Reflexive verbs or pronominal verbs always have an object pronoun that refers to the same person or thing as the subject

Original toplevel document (pdf)

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Annotation 1847497985292

#french #verbs
For -er verbs, the s is dropped from the second person singular to form the imperative.