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Phoebe was the trusted messenger of Apostle Paul, and she was partly responsible for helping establish a standardized dogma. W

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Cross and women earlyvages
Religion and Little M ages - Unknown (Highlight: 6; Note: 0)-------------"skies 24/7. Phoebe was the trusted messenger of Apostle Paul, and she was partly responsible for helping establish a standardized dogma. Women like Paula, Marcella, and Fabiola were the driving force behind social services projects that organized religion would eventually become known for -- you know, little things such as




Women like Paula, Marcella, and Fabiola were the driving force behind social services projects that organized religion would eventually become known for -- you know, little things such as monasteries and convents and hospitals for the underprivileg"

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Cross and women earlyvages
d><head>Religion and Little M ages - Unknown (Highlight: 6; Note: 0)-------------"skies 24/7. Phoebe was the trusted messenger of Apostle Paul, and she was partly responsible for helping establish a standardized dogma. Women like Paula, Marcella, and Fabiola were the driving force behind social services projects that organized religion would eventually become known for -- you know, little things such as monasteries and convents and hospitals for the underprivileg"(Chapter:5 Insane Facts That Will Change How You View Christianity)"Besides money and organizational talent, early female Christians were highly represented in {{c1::ministerial rol




In the most notable case, Junia, an early female church figure praised as an apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order.

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Cross and women earlyvages
money and organizational talent, early female Christians were highly represented in {{c1::ministerial roles and preaching. }}They're believed to have comprised a v"(Chapter:5 Insane Facts That Will Change How You View Christianity)"<span>In the most notable case, Junia, an early female church figure praised as an{{c2:: apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order. "(Chapter:5 Insane Facts That Will Change How You View Christianity)"Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation be




Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation between the{{c3:: "Old" (Jewish) and "New" (Christian) Testaments before}} him. It was just hundreds of different stories in free circulation: multiple books of revelation, too many gospels to count, and more coming in every week. So Marcion decided to go Brothers Grimm on that shit.

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Cross and women earlyvages
t notable case, Junia, an early female church figure praised as an{{c2:: apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order. "(Chapter:5 Insane Facts That Will Change How You View Christianity)"<span>Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation between the{{c3:: "Old" (Jewish) and "New" (Christian) Testaments before}} him. It was just hundreds of different stories in free circulation: multiple books of revelation, too many gospels to count, and more coming in every week. So Marcion decided to go Brothers Grimm on that shit."(Chapter:5 Insane Facts That Will Change How You View Christianity)"Because Marcion believed that the deity of what would eventually be Old Testament texts was a completely di




Because Marcion believed that the deity of what would eventually be Old Testament texts was a completely different and more{{c4:: malevolent creator-god}}"(

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Cross and women earlyvages
s in free circulation: multiple books of revelation, too many gospels to count, and more coming in every week. So Marcion decided to go Brothers Grimm on that shit."(Chapter:5 Insane Facts That Will Change How You View Christianity)"<span>Because Marcion believed that the deity of what would eventually be Old Testament texts was a completely different and more{{c4:: malevolent creator-god}}"(Chapter:5 Insane Facts That Will Change How You View Christianity)"To make things even more intriguing, one early Gnostic sect called the{{c5:: Carpocratians}} depicted Jesus Christ




ty)"To make things even more intriguing, one early Gnostic sect called the{{c5:: Carpocratians}} depicted Jesus Christ as not only a sexual being but a{{c6:: full-on libertine who indulged in flamboyantly gay and bisexual antics with his followers}}. That's right, the Gnostic JC was AC/DC"(Chapter:5 Insane Facts That Will Change How You View Christianity)

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Cross and women earlyvages
Christianity)"Because Marcion believed that the deity of what would eventually be Old Testament texts was a completely different and more{{c4:: malevolent creator-god}}"(Chapter:5 Insane Facts That Will Change How You View Christiani<span>ty)"To make things even more intriguing, one early Gnostic sect called the{{c5:: Carpocratians}} depicted Jesus Christ as not only a sexual being but a{{c6:: full-on libertine who indulged in flamboyantly gay and bisexual antics with his followers}}. That's right, the Gnostic JC was AC/DC"(Chapter:5 Insane Facts That Will Change How You View Christianity)<span><body><html>




Flashcard 2978453523724

Question
In the most notable case, [...], an early female church figure praised as an apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order.
Answer
Junia


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In the most notable case, Junia, an early female church figure praised as an apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order.

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Cross and women earlyvages
money and organizational talent, early female Christians were highly represented in {{c1::ministerial roles and preaching. }}They're believed to have comprised a v"(Chapter:5 Insane Facts That Will Change How You View Christianity)"<span>In the most notable case, Junia, an early female church figure praised as an{{c2:: apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order. "(Chapter:5 Insane Facts That Will Change How You View Christianity)"Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation be







Flashcard 2978456145164

Question
Marcion cross hist was?
Answer
Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation between the{{c3:: "Old" (Jewish) and "New" (Christian) Testaments before}} him. It was just hundreds of different stories in free circulation: multiple books of revelation, too many gospels to count, and more coming in every week. So Marcion decided to go Brothers Grimm on that shit


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Cross and women earlyvages
t notable case, Junia, an early female church figure praised as an{{c2:: apostle,}} was edited into a male in the Middle Ages to reflect a repressive social order. "(Chapter:5 Insane Facts That Will Change How You View Christianity)"<span>Before{{c3:: Marcion, }}the Christian Bible as we know it did not exist. There was no known segregation between the{{c3:: "Old" (Jewish) and "New" (Christian) Testaments before}} him. It was just hundreds of different stories in free circulation: multiple books of revelation, too many gospels to count, and more coming in every week. So Marcion decided to go Brothers Grimm on that shit."(Chapter:5 Insane Facts That Will Change How You View Christianity)"Because Marcion believed that the deity of what would eventually be Old Testament texts was a completely d







Flashcard 2978458504460

Question
Adult insects typically move about by walking, flying, or sometimes swimming. As it allows for rapid yet stable movement, many insects adopt a tripedal gait in which they walk with their [...]
Answer
legs touching the ground in alternating triangles.


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Adult insects typically move about by walking, flying, or sometimes swimming. As it allows for rapid yet stable movement, many insects adopt a tripedal gait in which they walk with their legs touching the ground in alternating triangles.

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Insect - Wikipedia, the free encyclopedia
apoda is unclear. Fossilized insects of enormous size have been found from the Paleozoic Era, including giant dragonflies with wingspans of 55 to 70 cm (22–28 in). The most diverse insect groups appear to have coevolved with flowering plants. <span>Adult insects typically move about by walking, flying, or sometimes swimming. As it allows for rapid yet stable movement, many insects adopt a tripedal gait in which they walk with their legs touching the ground in alternating triangles. Insects are the only invertebrates to have evolved flight. Many insects spend at least part of their lives under water, with larval adaptations that include gills, and some adult insects







Flashcard 2978462698764

Question
PROTEINS THAT ARE SAFE FOR CATS
Cats are [...] which means that they need meat to live. Meat is a great source of protein for your cat. However, too much fat can give your cat a stomachache, so make sure to trim off any excess fatty portions beforehand and to cook all meat thoroughly before you feed it to your cat*.
Answer
obligate carnivores,


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PROTEINS THAT ARE SAFE FOR CATS Cats are obligate carnivores, which means that they need meat to live. Meat is a great source of protein for your cat. However, too much fat can give your cat a stomachache, so make sure to trim off any excess fatty







Flashcard 2978465320204

Tags
#biology
Question
Parasympathetic nervous system: does what?
Answer
Parasympathetic nervous system: The part of the involuntary nervous system that serves to slow the heart rate, increase intestinal and glandular activity, and relax the sphincter muscles. The parasympathetic nervous system, together with the sympathetic nervous system, constitutes the autonomic nervous system


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A new sign of political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over

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Welcome to A+E Networks | UK
URL http://www.history.com/this-day-in-history/chinese-government-removes-ban-on-shakespeare Access Date May 25, 2018 Publisher A+E Networks <span>A new sign of political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over. In 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chin




Flashcard 2978470563084

Question
A new sign of political liberalization appears in China, when the communist government lifts its decade-old ban on [...]. The action by the Chinese government was additional evidence that the Cultural Revolution was over
Answer
the writings of William Shakespeare


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A new sign of political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over

Original toplevel document

Welcome to A+E Networks | UK
URL http://www.history.com/this-day-in-history/chinese-government-removes-ban-on-shakespeare Access Date May 25, 2018 Publisher A+E Networks <span>A new sign of political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over. In 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chin







n 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chinese society. His wife, Chiang Ching, was made the unofficial secretary of culture for China.

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Welcome to A+E Networks | UK
f political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over. I<span>n 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chinese society. His wife, Chiang Ching, was made the unofficial secretary of culture for China. What the revolution meant in practice, however, was the assassination of officials deemed to have lost their dedication to the communist cause and the arrest and detention of thousands




Flashcard 2978475281676

Question
n 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chinese society. His wife, [...], was made the unofficial secretary of culture for China.
Answer
Chiang Ching


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n 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chinese society. His wife, Chiang Ching, was made the unofficial secretary of culture for China.

Original toplevel document

Welcome to A+E Networks | UK
f political liberalization appears in China, when the communist government lifts its decade-old ban on the writings of William Shakespeare. The action by the Chinese government was additional evidence that the Cultural Revolution was over. I<span>n 1966, Mao Tse-Tung, the leader of the People’s Republic of China, announced a “Cultural Revolution,” which was designed to restore communist revolutionary fervor and vigor to Chinese society. His wife, Chiang Ching, was made the unofficial secretary of culture for China. What the revolution meant in practice, however, was the assassination of officials deemed to have lost their dedication to the communist cause and the arrest and detention of thousands







#economia #mises
a inflação e as tentativas de re- duzir a taxa de juro abaixo da que seria o nível de mercado realizam uma virtual expropriação das dotações dos hospitais, asilos, orfanatos e estabelecimentos similares. Quando os defensores do estado prove- dor lamentam a insuficiência de fundos disponíveis para a assistência humanitária, estão lamentando um dos resultados de políticas que eles mesmos recomendaram

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#economia #mises
Suponhamos que Paulo, no ano de 1940, tenha poupado cem dó- lares e os tenha aplicado num sistema de previdência social perten- cente ao estado. 11 Em troca, passou a ser credor de algum benefício futuro que lhe deverá ser pago pelo governo. Se o governo gastou os cem dólares em despesas correntes, não houve investimento adi- cional e, portanto, também não houve aumento na produtividade do trabalho. A dívida contraída pelo governo terá de ser paga pe- los futuros contribuintes. Em 1970, um certo Pedro poderá ver-se obrigado a pagar o compromisso assumido pelo governo, embora ele mesmo não tenha auferido nenhum benefício com o fato de Paulo ter poupado cem dólares em 1940

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#betancourt #probability-theory

Unlike probability mass functions, probability densities don’t transform quite as naturally along a measurable transformation on X X X . Given a one-to-one transformation g : ℝ N → ℝ N g:RN→RN g : \mathbb{R}^{N} \rightarrow \mathbb{R}^{N} , the differential volumes over which we integrate can change, and probability density functions have to change to compensate. The probability density corresponding to the pushforward distribution along a one-to-one transformation picks up a Jacobian determinant,

π ∗ ( y ) = ∑ n = 1 N π ( x n ( y ) ) ∣ ∣ ∣ ∂ g ∂ x ( x n ( y ) ) ∣ ∣ ∣ − 1 , π∗(y)=∑n=1Nπ(xn(y))|∂g∂x(xn(y))|−1, \pi_{*} (y) = \sum_{n = 1}^{N} \pi(x_{n}(y)) \left| \frac{ \partial g}{\partial x} (x_{n}(y)) \right|^{-1}, where { x 1 ( y ) , … , x N ( y ) } {x1(y),…,xN(y)} \left\{x_{1}(y), \ldots, x_{N}(y) \right\} are the roots of y = g ( x ) y=g(x) y = g(x) for a given y y y .



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#betancourt #probability-theory
Probability Theory (For Scientists and Engineers)

Michael Betancourt

April 2018

Formal probability theory is a rich and complex field of mathematics with a reputation for being confusing if not outright impenetrable. Much of that intimidation, however, is due not to the abstract mathematics but rather how they are employed in practice. In particular, many introductions to probability theory sloppily confound the abstract mathematics with their practical implementations, convoluting what we can calculate in the theory with how we perform those calculations. To make matters even worse, probability theory is used to model a variety of subtlety different systems, which then burdens the already confused mathematics with the distinct and often conflicting philosophical connotations of those applications.

In this case study I attempt to untangle this pedagogical knot to illuminate the basic concepts and manipulations of probability theory. Our ultimate goal is to demystify what we can calculate in probability theory and how we can perform those calculations in practice. We begin with an introduction to abstract set theory, continue to probability theory, and then move onto practical implementations without any interpretational distraction. We will spend time more thoroughly reviewing sampling-based calculation methods before finally considering the classic applications of probability theory and the interpretations of the theory that then arise.

In a few places I will dip a bit deeper into the mathematics than is strictly necessary. These section are labeled “Extra Credit” and may be skipped without any consequence, but they do provide further unification and motivation of some of the more subtle aspects of probability theory.

Let me open with a warning that the section on abstract probability theory will be devoid of any concrete examples. This is not because of any conspiracy to confuse the reader, but rather is a consequence of the fact that we cannot explicitly construct abstract probability distributions in any meaningful sense. Instead we must utilize problem-specific representations of abstract probability distributions which means that concrete examples will have to wait until we introduce these representations in Section 3.

1 Setting A Foundation

Ultimately probability theory concerns itself with sets in a given space. Before we consider the theory at any detail we will first review some of the important results from set theory that we will need. For a more complete and rigorous treatment of set theory see Folland (1999) and the appendix of Lee (2011) .

A set is a collection of elements with a space the collection of all elements under consideration. For example, { 1 } {1} \{1\} , { 5 , 10 , 12 } {5,10,12} \{5, 10, 12\} , and { 30 , 2 , 7 } {30,2,7} \{30, 2, 7\} , are all sets drawn from the space of natural numbers, ℕ = { 0 , 1 , … } N={0,1,…} \mathbb{N} = \left\{0, 1, \ldots \right\} . A point set or atomic set is a set containing a single element such as { 1 } {1} \{1\} above. The entire space itself is always a valid set, as is the empty set or null set, ∅ ∅ \emptyset , which contains no elements at all.

Sets are often defined implicitly via an inclusion criterion. These sets are defined via the notation

A = { x ∈ X ∣ f ( x ) = 0 } , A={x∈X∣f(x)=0}, A = \left\{ x \in X \mid f(x) = 0 \right\}, which reads “the set of elements x x x in the space X X X such that f ( x ) = 0 f(x)=0 f(x) = 0 .” 1.1 Set Operations

There are three natural operations between sets.

Given a set, A A A , its compliment, A c Ac A^{c} , is defined by all of the elements not in that set,

A c = { x ∈ X ∣ x ∉ A } . Ac={x∈X∣x∉A}. A^{c} = \left\{ x \in X \mid x \notin A \right\}.

We can construct the union of two sets, A 1 ∪ A 2 A1∪A2 A_{1} \cup A_{2} , as the set of elements included in either s

...

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#economia #mises
Quem não leva em consideração a escassez de bens de capital disponíveis não é um economista; é um fabulista.

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#economia #mises
e não fosse a ineficiên- cia do legislador e a lassidão, negligência e corrupção de muitos dos funcionários, os últimos vestígios da economia de mercado já teriam desaparecido há muito tempo

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