Bao cao-hanh-vi-nguoi-dung-internet-vietnam-2014Duy Khánh
Báo cáo hành vi người dùng internet Việt Nam trong năm 2014.
Nội dung chính trong Báo Cáo Hành Vi Người Tiêu Dùng Online
Tiềm năng của việc mua hàng trực tuyến
Lý do mua hàng trực tuyến
Những rào cản chính khi mua hàng
Hành vi của người mua hàng trực tuyến
Tác động của quảng cáo đến việc quyết định mua hàng
Một số nội dung khác đi kèm trong tài liệu này:
6 yếu tố quan trọng quyết định việc mua hàng
Nếu tôi biết bạn bè/gia đình đã từng mua món hàng này online và có trải nghiệm tốt
Nếu tôi có bảo hành/bảo đảm đi cùng với sản phẩm
Nếu sản phẩm mua online rẻ hơn so với mua tại cửa hàng bán lẻ thông thường
Nếu tôi có thể trả tiền mặt
Nếu có khuyến mãi đáng kể hơn so với cửa hàng bán lẻ thông thường
Nếu tôi được hoàn tiền cho sản phẩm bị hư hoặc lỗi
The computation of automorphic forms for a group Gamma is
a major problem in number theory. The only known way to approach the higher rank cases is by computing the action of Hecke operators on the cohomology.
Henceforth, we consider the explicit computation of the cohomology by using cellular complexes. We then explain how the rational elements can be made to act on the complex when it originate from perfect forms. We illustrate the results obtained for the symplectic Sp4(Z) group.
This are the notes of a seminar talk delivered in summer 2008 at Bonn. Let SU (2, 1) be the
moduli space of rank 2 bundles with a fixed determinant of rank 1 over a curve C of genus g ≥ 2.
This is a Fano manifold of Picard rank 1. We discuss the example g = 2 where SU (2, 1) is the
intersection of two quadrics in P5 . In this case the minimal rational curves are lines. There is a
very interesting class of rational curves on SU (2, 1), called Hecke curves, which are constructed
by extending a given bundle by torsion sheaves. In the case g ≥ 3 we will see that Hecke curves
have minimal anti-canonical degree (4) and that any rational curve passing through a generic
point is a Hecke curve.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
2. 16.1 – The Field of Fractions The field of fractions of an integral domain D, FD is the set of equivalence classes on S = {(a,b): a,bє D} of ~; where (a, b) ~ (c, d) if and only if ad = bc. Examples Integral Domain: Z Field of Fractions:Q Integral Domain: Z5 Field of Fractions: Z5 Integral Domain: Z[i]Field of Fractions: Q[i] Integral Domain: Q[x] Field of Fractions: Q(x)
3. Mathematical Results Lemma 16.1 – Definition of the field of fractions, and establishes ~ as an equivalence relation. Lemma 16.2 – The operations of addition and multiplication on FD are well defined. Lemma 16.3 – FD is a field
4. Theorem 16.4 Let D be an integral domain. Then D can be embedded in the field of fractions FD, where any element in FD can be expressed as the quotient of two elements in D. Furthermore, the field of fractions FD is unique in the sense that if E is any field containing D, then there exists a map ψ: FD -> E giving an isomorphism with a subfield of E such that ψ(a) = a for all a є D.
5. S E φ' Ψ Ω -isomorphism FD(Q) D(Z) φ- homomorphism
6. Corollaries Let F be a field of characteristic zero. Then F contains a subfield isomorphic to Q. Show that F contains a subring isomorphic to the integers and therefore since the integers can be embedded into Q, F must contain a subfield isomorphic to Q. Let F be a field of characteristic p. Then F contains a subfield isomorphic to Zp.
7. 16.2 – Factorization in Integral Domains Terms Unit – An element in a ring that has an inverse. Associates – Elements a and b are associates if there exists a unit u such that a = ub. Irreducible – A nonzero element pєD that is not a unit such that whenever p = ab, either a or b is a unit. Prime – An irreducible p such that whenever p|ab, either p|a or p|b.
8. Examples of Irreducibles Integral Domain: ZIrreducibles: primes Integral Domain: Z5Irreducibles: none Integral Domain: Q[x] Irreducibles: irreducible polynomials
9. Not all irreducibles are primes Let R = {x2 * f(x,y) + xy * g(x,y) + y2 * h(x,y)} be a subring of Q[x,y]. Then x2, xy, and y2 are all irreducible however xy divides x2y2, but it doesn’t divide either x2 or y2. So xy is a non-prime irreducible. Corollary 16.9 – Let D be a principal ideal domain, if p is irreducible, then p is prime.
10. Types of domains Principal ideal domain – An integral domain every ideal is a principal ideal Example: Z Non-example: Z[x] Unique factorization domain – An integral domain such that any nonzero element that is not a unit can be written as the unique product of irreducible elements. Euclidean domain – domains on which a division algorithm is defined.
11. Principal Ideal Domains Example: Z is a principal ideal domain because every one of its ideals (all of which are nZ, where n is a natural number) are generated by one single element. Non-example: Z[x] is not because I = {5f(x) + xg(x)} is an ideal but it is not a principal ideal because 5 is in it and so is x, however the only element that generates both is 1 and the ideal containing 1 is the whole ring so this ideal must generate 3 which is impossible.
12. Unique Factorization Domain Example: Q[x] is a unique factorization domain, and in fact if F is a field then F[x] is a unique factorization domain. (Corollary 16.12 and Corollary 16.21) (proof) Non-Example: Z[i] is not a unique factorization domain, by the counterexample 10 = 5 * 2, where 5 and 2 are irreducible and 10 = (3 + i)(3 - i) . Also (3 – i) is an example of an irreducible that is not prime as it divides 10 but not 5 or 2.
13. Theorems about PIDs and UFDs Lemma 16.7 Let D be an integral domain and let a, b єD. Then Theorem 16.8 – Let D be a PID and <p> be a nonzero ideal in D. Then <p>is a maximal ideal if and only if p is irreducible.
14. Theorems about PIDs and UFDs Corollary 16.9 - Let D be a PID. If p is irreducible, then p is prime. Lemma 16.10 - Let D be a PID. Let I1, I2, … be a set of ideals such that I1 I2 … Then there exists an integer N such that In = IN for all n ≥ N. This is called the ascending chain condition (ACC). Theorem 16.11 - Every PID is a UFD.
15. Euclidean Domain Let ν: D -> N U {0}. This is a Euclidean valuation. A Euclidean domain has the following properties If a and b are nonzero elements in D, then ν(a) ≤ ν(ab). Let a,b be elements in D with b ≠ 0. Then there exists elements q and r such that a = bq+ r and either r = 0 or ν(r) < ν(b).
16. Examples of Euclidean Valuations Absolute value (creates a Euclidean domain for the integers) Absolute value squared for Gaussian integers. The degree of a polynomial.
17. Theorems Theorem 16.13 - Every Euclidean domain is a PID. (proof) Corollary 16.14 – Every Euclidean domain is a UFD.
18. Factorization in D[x] Terminology Content – The content of a polynomial D[x] (where D is a unique factorization domain) is the greatest common divisor of a0, …, an. Primitive – A polynomial of D[x] is a primitive if it has a content of one. Theorem 16.15 – If f(x) and g(x) are primitive then f(x)g(x) is primitive. (proof) Lemma 16.16 – Let D be a UFD, and let p(x) and q(x) be in D[x]. Then the content of p(x)q(x) is equal to the contents of p(x) and q(x).
19. Theorems Lemma 16.17 – Let D be a UFD and F, its field of fractions. Suppose that p(x) is in D[x] and p(x) = g(x)f(x) where f(x) and g(x) are in F[x]. Then p(x) = f1(x)g1(x) and f1(x) and g1(x) are in D[x]. Furthermore, deg(f(x)) = deg(f1(x)) and deg(g(x)) = deg(g1(x)). Theorem 16.20 – If D is a UFD, then D[x] is a UFD. Corollary 16.21 – Let F be a field. Then F[x] is a UFD. Corollary 16.22 – Z[x] is a UFD. Corollary 16.23 – Let D be a UFD. Then D[x1, …, xn] is a UFD.