BuboFlash - helps with learning

Edited, memorised or added to reading queue

Do you want BuboFlash to help you learning these things? Click here to log in or create user.

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 [...]

Answer

Hermitian and positive definite.

L can be lower triangular or otherwise,

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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.

Original toplevel document

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 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.

Answer

become arbitrarily close to each other

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

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. 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.

status	not read	reprioritisations
last reprioritisation on		suggested re-reading day
started reading on		finished reading on

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 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

Tags

#rome

Question

The Roman Republic began in [...]

Answer

509 BC

Apparently the Romans are beginning to lace up.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
> 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. <body><html>

Original toplevel document

Flashcard 1803039673612

Tags

#linguistics #verbs

Question

Perfective aspect doesn't refer to any [...]

Answer

duration of time
("I helped him")

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

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 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.

Answer

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.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 1803476143372

Tags

#jaynes #plausible-reasoning

Question

The [...] sign in logic and computer science has totally different meanings

Answer

equal

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 1803881942284

Tags

#computer-science

Question

in the context of data storage, serialization translates data structures into a format that can be [...] later

Answer

stored or transmitted and reconstructed

The string of operations

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

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, 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!

Answer

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

Ne travaille pas!

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286909000972

Tags

#french #verbs

Question

Note that the reflexive pronoun te does not change in [...].

example: don't wake up!

Answer

the negative imperative

Ne te réveille pas!

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

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.

Answer

an adjective

Il parle d’une voix menaçante.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286922632460

Tags

#french #verbs

Question

The present participle is invariable when expressing [...]

example: I see my father cooking.

Answer

a concurrent action

Je vois mon père faisant la cuisine.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
The present participle is invariable when expressing an concurrent action

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286924991756

Tags

#french #verbs

Question

The imperfect tense indicates actions that [...time...].

example: they always eat at this restaurant.

Answer

begun in the past but not necessarily completed

Elles mangeaient toujours dans ce restaurant.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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.

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286927351052

Tags

#french #verbs

Question

The imperfect tense expresses past actions which are [...characteristics...].

Answer

habitual or customary

Elles mangeaient toujours dans ce restaurant.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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.

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286967983372

Tags

#french #verbs

Question

The future tense of most verbs is formed by [...].

Answer

adding -ai, -as, -a, -ons, -ez, -ont to the infinitive

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

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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

Original toplevel document (pdf)

cannot see any pdfs

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.

Answer

-ais, -ais, -ait, -ions, -iez, -aient

Dans ce cas-là, je viendrais.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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.

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2286975323404

Tags

#french #verbs

Question

The present conditional is formed by adding the endings to [...].

example: In that case, I would come.

Answer

the future stem of the verb

Dans ce cas-là, je viendrais.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Original toplevel document (pdf)

cannot see any pdfs

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.

Answer

the imperfect tense of the verb avoir or être

Elle avait parlé et ensuite nous sommes partis.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

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?

Answer

the imperfect

Depuis quand attendait-il?

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2287010974988

Tags

#french #verbs

Question

Venir de in the imperfect tense means [...].

example: He had just arrived

Answer

had just done something

Il venait d’arriver.

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2287022771468

Tags

#french #verbs

Question

The passé composé is used when talking about something that [...time range...].

Answer

happened and completed in the past

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document (pdf)

cannot see any pdfs

Flashcard 2960408055052

Tags

#Géologie

Question

Moyen des altitudes des continents et océans ?

Answer

+100m pour les continents
-4 500m pour les océans

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Flashcard 2960409890060

Tags

#Géologie

Question

Quelle sont les différentes croûtes terrestres qui existe ?

Answer

La croûte continental et la croûte océanique

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

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))

status	not read	reprioritisations
last reprioritisation on		suggested re-reading day
started reading on		finished reading on

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] 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))

Answer

X = ( x 1 , x 2 , … , x T ) {\displaystyle X=(x_{1},x_{2},\ldots ,x_{T})}

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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

Annotation 2960691957004

#jaynes

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

status	not read	reprioritisations
last reprioritisation on		suggested re-reading day
started reading on		finished reading on

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). 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 [...].

Answer

an extension of logic

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

Annotation 2960721317132

#jardin-dhiver

Je voudrais du soleil vert
Des dentelles et des théières
Des photos de bord de mer
Dans mon jardin d'hiver

status	not read	reprioritisations
last reprioritisation on		suggested re-reading day
started reading on		finished reading on

Henri Salvador – Jardin d'hiver Lyrics | Genius Lyrics
1 2 Jardin d'hiver Lyrics 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

Answer

du soleil vert

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

Flashcard 2960725249292

Tags

#jardin-dhiver

Question

Je voudrais du soleil vert
[...]
(Des photos de bord de mer
Dans mon jardin d'hiver)

Answer

Des dentelles et des théières

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

Flashcard 2960727608588

Tags

#jardin-dhiver

Question

(Je voudrais du ...)
Des dentelles et des théières
[...]
Dans mon jardin d'hiver

Answer

Des photos de bord de mer

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

Flashcard 2960729967884

Tags

#jardin-dhiver

Question

(Je voudrais du ...
Des ... et des ...)
Des photos de bord de mer
[...]

Answer

Dans mon jardin d'hiver

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

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

Original toplevel document

Flashcard 2961638821132

Tags

#french #verbs

Question

Si + the [...] can be used to express a wish or suggestion.

example: How about playing tennis?

Answer

on or nous form of the imperfect tense

Si on jouait au tennis?

status	not learned	measured difficulty	37% [default]	last interval [days]
repetition number in this series	0	memorised on		scheduled repetition
scheduled repetition interval		last repetition or drill

Parent (intermediate) annotation

Open it
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

Original toplevel document (pdf)

cannot see any pdfs

Edited, memorised or added to reading queue

on 09-May-2018 (Wed)

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document (pdf)

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document

Parent (intermediate) annotation

Original toplevel document (pdf)