Sharing the principles of corporate responsibility and striving to apply these to every area of its business, Transaero has made non-financial accountability one of its practices.
Transaero sustainability reporting is a means to keep company's customers, employees, partners, shareholders, and society at large informed as to how much progress company has made in sustainable development, what principles company is following, and what results company has achieved.
The objectives of Transaero sustainability report is both to analyze and present the results of past years, and to shape sustainable development plans for the future.
Sharing the principles of corporate responsibility and striving to apply these to every area of its business, Transaero has made non-financial accountability one of its practices.
Transaero sustainability reporting is a means to keep company's customers, employees, partners, shareholders, and society at large informed as to how much progress company has made in sustainable development, what principles company is following, and what results company has achieved.
The objectives of Transaero sustainability report is both to analyze and present the results of past years, and to shape sustainable development plans for the future.
Zakaznicka pece v socialnich sitich (2011)Oleg Vojtisek
Jak pečovat o zákazníky v sociálních sítích hned teď a co nás čeká v nejbližších letech. Můžete mít na Facebooku "Pobočku", můžete proaktivně reagovat na soukromé příspěvky uživatelů, můžete predikovat jejich chování a můžete si sociální sítě napojit na vaše interní systémy. Obsahuje case study facebook.com/Ufoni.
La Unidad Educativa Municipal "Quitumbe" es una institución educativa con 20 años de experiencia que ofrece educación integral en los niveles básico y bachillerato. La institución promueve procesos de enseñanza-aprendizaje dinámicos, creativos y participativos de acuerdo con las corrientes pedagógicas actuales. Su visión es convertirse para el 2018 en una institución líder que forme ciudadanos autónomos, proactivos, competentes y respetuosos del medio ambiente.
The document is a scanned receipt from a grocery store purchase on June 15th, 2022 totaling $58.37. It lists items bought including ground beef, chicken breasts, tortillas, cheese, and produce such as tomatoes, lettuce, and onions. The receipt shows the item prices, taxes, and total amount due.
Zakaznicka pece v socialnich sitich (2011)Oleg Vojtisek
Jak pečovat o zákazníky v sociálních sítích hned teď a co nás čeká v nejbližších letech. Můžete mít na Facebooku "Pobočku", můžete proaktivně reagovat na soukromé příspěvky uživatelů, můžete predikovat jejich chování a můžete si sociální sítě napojit na vaše interní systémy. Obsahuje case study facebook.com/Ufoni.
La Unidad Educativa Municipal "Quitumbe" es una institución educativa con 20 años de experiencia que ofrece educación integral en los niveles básico y bachillerato. La institución promueve procesos de enseñanza-aprendizaje dinámicos, creativos y participativos de acuerdo con las corrientes pedagógicas actuales. Su visión es convertirse para el 2018 en una institución líder que forme ciudadanos autónomos, proactivos, competentes y respetuosos del medio ambiente.
The document is a scanned receipt from a grocery store purchase on June 15th, 2022 totaling $58.37. It lists items bought including ground beef, chicken breasts, tortillas, cheese, and produce such as tomatoes, lettuce, and onions. The receipt shows the item prices, taxes, and total amount due.
La ley pulpín perjudica a todos los trabajadores de diferentes formas:
1) A los jóvenes menores de 24 años al no otorgarles los derechos laborales completos y facilitar su contratación informal.
2) A los trabajadores mayores de 24 años al convertirlos en más caros que los jóvenes y poner en riesgo sus empleos y capacidad de encontrar nuevos trabajos.
3) Incluso a los trabajadores calificados, al reducir los estándares laborales generales y disminuir la presión de aumentar sus
This document analyzes traffic conditions at the intersection of Walter S. Davis Blvd and 39th Ave in 2015 and projects traffic to 2035. It finds that in 2015, traffic flows well with levels of service A and B. However, by 2035 without improvements, most lanes would be at levels of service C-F, requiring changes. Recommended changes include adding turn lanes and storage lanes to improve 2035 conditions.
The document discusses the ESA's Gaia space telescope mission. Gaia will map the Milky Way galaxy by measuring the positions, distances, and motions of over 1 billion stars. It carries sophisticated digital cameras with nearly 1 billion pixels to obtain astrometry and photometry of stars, and will precisely measure the radial velocities of up to 100 million stars. The data it collects will provide insights into the composition, formation and evolution of our galaxy.
The Bottom Line's Home Repair Rip-Offs!Michael Brown
Haiku Deck is a presentation platform that allows users to create Haiku-style presentations. The document encourages the reader to get started creating their own Haiku Deck presentation on SlideShare by providing a link to do so. It aims to inspire the reader to try out Haiku Deck's unique presentation style.
Failing to care 12 may 2015 NFWI ResolutionHelen Tyrrell
Failing to care- assessment of need in long term care
This meeting calls on HM government to remove the distinction between health care and social care in the assessment of the needs of individuals, in order to advance health and wellbeing - North Duffield, WI, North Yorkshire East federation
The document provides instructions for an activity where students write information about themselves in both the present and past tense. They are asked to write 10 sentences about famous people, talk to 3 classmates about the information, and ask and answer questions about themselves and a classmate using "to be" verbs in both the present and past tenses. Examples are given of sentences describing oneself in the present and past, including name, age, nationality, profession, personality, description, location, and more. Students are also asked to share a picture of themselves from age 5 and describe it.
Sniply is a marketing tool that can help you drive conversion for every link you share. It’s a simple tool that essentially lets you drive conversions from any piece of content on the web. You can put your call-to-action on any page across the web. You can use it to drive more traffic to your website, downloads of your app, registrations for your event, customers for your service, and more.
Este manual de instrucciones proporciona información sobre la seguridad, uso y mantenimiento de un horno. Incluye secciones sobre seguridad de niños, conexión eléctrica, uso del horno, limpieza y eliminación del aparato. Resalta la importancia de seguir las instrucciones para evitar lesiones, incendios o daños al electrodoméstico.
1) O documento fornece instruções de segurança, instalação, uso e manutenção de um refrigerador/congelador combinado.
2) Inclui advertências sobre riscos de choque elétrico, queimaduras e explosões, além de indicar a necessidade de ventilação adequada e distância mínima da parede traseira.
3) Fornece detalhes sobre dimensões, capacidade, funções, limpeza e resolução de pequenos problemas.
The document discusses concurrency and synchronization in distributed computing. It provides an overview of Petr Kuznetsov's research at Telecom ParisTech, which includes algorithms and models for distributed systems. Some key points discussed are:
- Concurrency is important due to multi-core processors and distributed systems being everywhere. However, synchronization between concurrent processes introduces challenges.
- Common synchronization problems include mutual exclusion, readers-writers problems, and producer-consumer problems. Tools for synchronization include semaphores, transactional memory, and non-blocking algorithms.
- Characterizing distributed computing models and determining what problems can be solved in a given model is an important area of research, with implications for distributed system design.
The document discusses weakly supervised learning from video and images using convolutional neural networks. It describes using scripts as weak supervision for learning actions from movies without explicit labeling. Methods are presented for jointly learning actors and actions from scripts, and for action learning with ordering constraints. The use of CNNs for object and action recognition in images is also summarized, including work on training CNNs using only image-level labels without bounding boxes.
This document discusses common C++ bugs and tools to find them. It describes various types of memory access bugs like buffer overflows on the stack, heap, and globals that can lead to crashes or security vulnerabilities. Threading bugs like data races, deadlocks, and race conditions on object destruction are also covered. Other undefined behaviors like initialization order issues, lack of sequence points, and integer overflows are explained. The document provides examples of each type of bug and emphasizes that undefined behavior does not guarantee a predictable result. It concludes with a quiz to find bugs in a code sample and links to additional reading materials.
AddressSanitizer, ThreadSanitizer, and MemorySanitizer are compiler-based tools that detect bugs like buffer overflows, data races, and uninitialized memory reads in C/C++ programs. AddressSanitizer instruments loads and stores to detect out-of-bounds memory accesses. ThreadSanitizer intercepts synchronization calls to detect data races between threads. MemorySanitizer tracks initialized and uninitialized memory using shadow memory to find uses of uninitialized values. The tools have found thousands of bugs with low overhead. Future work includes supporting more platforms and languages and detecting additional bug classes.
This document discusses common C++ bugs and tools to find them. It describes various types of memory access bugs like buffer overflows on the stack, heap, and globals that can lead to crashes or security vulnerabilities. Threading bugs like data races, deadlocks, and race conditions on object destruction are also covered. Other undefined behaviors like initialization order issues, lack of sequence points, and integer overflows are explained. The document provides examples of each type of bug and quizzes the reader to find bugs in a code sample. It recommends resources for further reading on debugging techniques and thread sanitizers that can detect races and data races.
This document provides examples and snippets of code for MapReduce, Pig, Hive, Spark, Shark, and Disco frameworks. It also includes two sections of references for related papers and Disco documentation. The examples demonstrate basic MapReduce jobs with drivers, mappers, and reducers in Java, Pig and Hive queries, Spark and Shark table operations, and a Disco MapReduce job.
10. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Ìåòîä Êðàé÷èêà
1920s, Maurice Kraitchik, áåëüãèéñêèé ìàòåìàòèê.
Óëó÷øåíèå ìåòîäà Ôåðìà: âìåñòî òàêèõ u è v , ÷òî
u 2 − v 2 = n,
ìîæíî èñêàòü òàêèå u è v , ÷òî
u 2 − v 2 ≡ 0 (mod n).
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
11. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Ìåòîä Êðàé÷èêà
Åñëè u ≡ ±v (mod n), òî èç
u2 − v 2 ≡ 0
mod n) (
òîæå ïîëó÷èòñÿ ðàçëîæåíèå: n äåëèòñÿ íà (u − v )(u + v ),
íî íå äåëèòñÿ íè íà u − v , íè íà u + v , ñëåäîâàòåëüíî,
ÍÎÄ(u − v , n) íåòðèâèàëüíûé äåëèòåëü n.
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
20. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Îöåíêà ñëîæíîñòè
Ìû õîòèì äëÿ äàííîãî X ìèíèìèçèðîâàòü âûðàæåíèå
π2 (Y )X
ψ(X , Y )
√
Ïîïðîáóåì îöåíèòü ψ(X , Y ) äëÿ Y = X :
ψ(X , X 1/2 ) = X − X /p =
√
X p ≤ X
1 + O ( X ).
=X − 1 √ p log X
X p ≤ X
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
21. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Ôàêòû èç òåîðèè ÷èñåë
Ìû áóäåì ïîëüçîâàòüñÿ ôàêòàìè èç òåîðèè ÷èñåë. Äëÿ
ýòîãî ïðèìåðà òåîðåìà Ìåðòåíñà:
1 = ln ln Y + γ + O 1 , ãäå γ ≈ 0, 261497...
p Y p log Y
Çíà÷èò,
1= 1− 1=
√ p p ≤X p √ p
X p ≤ X p≤ X
log log X −log log X +O ( 1 ) = log 2+O ( 1 ), è
√
√ √
log X log X
=
X
ψ(X , X 1/2 ) = ( −1 log 2)X + O ( log X ).
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
22. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Ôàêòû èç òåîðèè ÷èñåë
Àíàëîãè÷íî, ψ(X , X 1/u ) = (1 − log u)X + O ( log X ) äëÿ
X
u ∈ [1, 2].
Åñòü îáîáùåíèå ýòîãî ðåçóëüòàòà, êîòîðîå íàì è íóæíî
(áåç äîêàçàòåëüñòâà): äëÿ ëþáîãî 0, åñëè X → ∞,
u → ∞, ïðè÷¼ì X 1/u (log X )1+ , òî
ψ(X , X 1/u )
= u −(1+o (1))u .
X
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
23. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Òî, ÷òî ìû ìèíèìèçèðóåì
À íàì íóæíî ìèíèìèçèðîâàòü π2(XY,YX) , òî åñòü, âûðàçèâ
ψ(
)
Y = X 1/u , ïðèìåðíî u log2 (X 1 ) , ÷òî áóäåò
X2
X
/u
ìèíèìèçèðîâàòüñÿ ïðè
−u /u
u≈2
log X (ïðîâåðüòå!).
log log X
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
24. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Îöåíêà ñëîæíîñòè
Èòàê, ìèíèìóì áóäåò äîñòèãàòüñÿ, êîãäà Y ïîðÿäêà
√
e 2√ log X log log X , à ñàì ìèíèìóì ïðè ýòîì ïîðÿäêà
1
e 2 log X log log X .
Çäåñü X ýòî ñðåäíèé ðàçìåð ÷èñëà, êîòîðîå ïîëó÷àåòñÿ
èç ìåòîäà; ýòî ïîðÿäêà 2√n äëÿ ìåòîäà íåïðåðûâíûõ
äðîáåé è n1/2+ äëÿ Q (x ) = x 2 − n (ìû áóäåì ïåðå÷èñëÿòü
x äî n + n ).
√
Èíà÷å ãîâîðÿ, îöåíêà ñëîæíîñòè ïîëó÷àåòñÿ ïîðÿäêà
√
e 2 log n log log n .
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
25. Ìåòîä Êðàé÷èêà Ââåäåíèå
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ìåòîä Êðàé÷èêà
Ãëàäêèå ÷èñëà è îöåíêà ñëîæíîñòè
Ñëîæíîñòíûå îáîçíà÷åíèÿ
 ýòîé òåîðèè ìåíÿþòñÿ òîëüêî äâå êîíñòàíòû, ïîýòîìó
ââîäÿò îáîçíà÷åíèå
Ln [s ; c ] = e c (log n) (log log n)
s 1−s
.
Äëÿ ñðàâíåíèÿ àñèìïòîòèêè íàäî ñíà÷àëà ñðàâíèòü s , à
åñëè îíè ðàâíû, òî c .
Íàøà îöåíêà ñëîæíîñòè äëÿ ìåòîäà Êðàé÷èêà â ýòèõ
îáîçíà÷åíèÿõ:
√ 1√
e 2 log n log log n = Ln ; 2 .
2
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
43. Ìåòîä Êðàé÷èêà Ðåøåòî Ýðàòîñôåíà è êâàäðàòè÷íîå ðåøåòî
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ðåøåíèå ëèíåéíîé ñèñòåìû
Èäåè ðåøåòà ÷èñëîâîãî ïîëÿ
Àëãîðèòì Âèäåìàííà
Çàäà÷à: íàéòè òàêîé âåêòîð w, ÷òî Aw = 0.
Ðàññìîòðèì ñëó÷àéíûå âåêòîðû x è z, à òàêæå y = Az.
Ðàññìîòðèì
x y, x Ay, x A2 y, x A3 y, . . .
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
44. Ìåòîä Êðàé÷èêà Ðåøåòî Ýðàòîñôåíà è êâàäðàòè÷íîå ðåøåòî
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ðåøåíèå ëèíåéíîé ñèñòåìû
Èäåè ðåøåòà ÷èñëîâîãî ïîëÿ
Ìèíèìàëüíûé ìíîãî÷ëåí
Âñïîìíèì ëèíåéíóþ àëãåáðó: ó ìàòðèöû A ðàçìåðà n × n
åñòü ìèíèìàëüíûé ìíîãî÷ëåí p ñòåïåíè n0 ≤ n, äëÿ
êîòîðîãî p(A) = 0.
Ïóñòü ìèíèìàëüíûé ìíîãî÷ëåí p: n=0 pi Ai = 0. Çíà÷èò,
i
0
n0
pi x Ai y = 0,
i =0
è ýòîò ìíîãî÷ëåí òàêæå ïîðîæäàåò è íàøó
ïîñëåäîâàòåëüíîñòü.
Íî êîãäà ìû èçó÷àëè ïîòî÷íûå øèôðû, ó íàñ áûë
àëãîðèòì Áåðëåêàìïà-Ìåññè êàê ðàç äëÿ òîãî, ÷òîáû
íàõîäèòü ïîðîæäàþùèå ìíîãî÷ëåíû!
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
45. Ìåòîä Êðàé÷èêà Ðåøåòî Ýðàòîñôåíà è êâàäðàòè÷íîå ðåøåòî
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ðåøåíèå ëèíåéíîé ñèñòåìû
Èäåè ðåøåòà ÷èñëîâîãî ïîëÿ
Àëãîðèòì Âèäåìàííà
Èòàê, ìû ïðèìåíÿåì àëãîðèòì Áåðëåêàìïà-Ìåññè è
ïîëó÷àåì òàêèå êîýôôèöèåíòû qi , ÷òî
n0
qi x Ai y = 0.
i =0
Ìû íàäååìñÿ, ÷òî ïðè ýòîì çàîäíî è
n0 n0
qi Ai y = 0, è, ò.ê. y = Az, M qi Ai z 0
= ,
i =0 i =0
è ìû íàäååìñÿ, ÷òî w = n=0 qi Ai z = 0, âåäü òîãäà ýòî è
i
0
åñòü ðåøåíèå.
Íàøè íàäåæäû ÷àñòî (ïî x è y) áóäóò îïðàâäûâàòüñÿ.
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
46. Ìåòîä Êðàé÷èêà Ðåøåòî Ýðàòîñôåíà è êâàäðàòè÷íîå ðåøåòî
Ðåøåòî êâàäðàòè÷íîå è íå òîëüêî Ðåøåíèå ëèíåéíîé ñèñòåìû
Èäåè ðåøåòà ÷èñëîâîãî ïîëÿ
Èòîãè
Êàê áû òî íè áûëî, ìû ñ÷èòàåì, ÷òî íàøè àëãîðèòìû
ðåøåíèÿ ñèñòåì ðàáîòàþò çà O (n2).
È äëÿ q
êâàäðàòè÷íîãî ðåøåòà ïðè √
1 +o (1) log X log log X
= e ( 2 +o (1)) log n log log n
1
Y = e (2 )
√
ïîëó÷àåòñÿ êàê ðàç e (1+o (1)) log n log log n , ò.å. øàãè ðåøåíèÿ
ñèñòåìû è å¼ ïîñòðîåíèÿ ýêâèâàëåíòíû ïî ñëîæíîñòè.
Íà ïðàêòèêå îáû÷íî äåëàþò ñèñòåìó ïîìåíüøå, ò.ê. ðåøåòî
î÷åíü ëåãêî ðàñïàðàëëåëèòü, à ðåøåíèå ñèñòåìû íèêàê.
Ñåðãåé Íèêîëåíêî Ðàçëîæåíèå ÷èñåë íà ìíîæèòåëè
