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Let's Cover Homology (pt 1)Mathematics ·
What is it?
Topology is essentially the study of proximity, which is a close analogue for shape. The specifics of how that's done are not really the point of this post. That's all for this section.
How is it related to analyzing data?
Most data analysis techniques are already about quantifying some geometric attributes. For instance, when you fit a linear model, you're really just imposing an affine model on the data, and computing the appropriate parameters (slope and intercept). But these sorts of things work best if you have an idea for what an appropriate shape would be. That's one area where topology might be able to help. But to hear more about that, you'll have to wait for my next post.
There is a notion of equivalence (called isomorphism) of topological spaces (bi-continuous bijections). Basically, we consider two topological spaces to be equivalent if one can be continuously transformed into the other and back. That's actually a very powerful description that captures a lot of non-linearities and things like that. For instance, an egg shape, a sphere, a pyramid, and a tetrahedron are all isomorphic topological spaces, but not a doughnut (torus). And those kinda make sense. But there are some counter-intuitive examples. For instance, if you were to take one of those long clown balloons and tie it up into a poodle, it would also be isomorphic to the bunch above. And, as the joke goes, donuts are isomorphic to coffee cups. I know what you're thinking. This topology stuff sounds super cool.
So topology would make a wonderful (admittedly incomplete) description of data. But there are some problems: mainly that this whole story breaks down in higher dimensions. Luckily, there is an analogue that can be computed.
What is it?
Homology is (in an overly-simplified sentence), counting the number of holes. That's actually a lot more information than you might initially think. It's actually sufficient to completely classify the space in lower dimensions, and a good approximation in higher ones. Either way, if we knew that info about our data, we'd capture a lot of the non-linear relationships. Either way, it'll be fun, so let's get into it.
How to computes…
A simplex is a collection of $n$ points with the property that no one point lies in the subspace defined by the other $n-1$ points. The idea is that it's the minimal number of points with an $n-1$ dimensional convex hull – or, said differently, the minimal number of points to make an $n-1$ dimensional shape. For instance, if we consider $\mathbb{R}^2$ as our ambient space, then the only simplices that exist are 0, 1, or 2 simplices: the 0 simplices being points, 1 simplices being lines and 2 simplices being tetrahedra. If we look at these simplices like building blocks, we can now make something isomorphic to any shape just by glueing a bunch of these simplices together. But we'll get to that in a bit.
Let $\{v_0,v_1,v_2\}$ be a simplex. Firstly, since it's a simplex with 3 points, it must be a 2-simplex. And since it's a simplex, we know that $v_0-v_1\notin span(\{v_1-v_2,v_1+v_2\})$ and the same relationship holds for all the rest of the points. This simplex is supposed to represent any 2 dimensional contiguous ball-like thing. For instance, since a filled-in circle can be continuously transformed into a filled-in triangle (which is, in essence what a 2-simplex is), our simplex becomes a proxy for such circles, and squares, and rhombi, and octagons, but not the Apple logo. But if you take that stem thing and throw it away so you're only left with the main apple part of the logo, then yeah, that too.
So now if we have any single contiguous $N$-D object without any holes, we can represent it topologically by a triangle. So simplices make the building blocks for general shapes, as we'll see in a bit.
Simplicial Complexes
So let's build a simplicial complex! But wait! I haven't even defined what that is yet! Meh, let's just roll with it. So given a bunch of things we can represent by simplices (like the full apple logo, for instance), we can construct a simplicial complex to represent it. Some more examples would be: an air-filled balloon (which we'll consider to be hollow) on a string, a filled water balloon (which we'll not consider to be hollow) on a string, or a doughnut. The list goes on, obviously, but I think you get the point. We can represent pretty much anything this way.
The specifics really only come in when we try to construct the simplicial complex itself. In order to make the thing have the nice characteristics we'll use later on, we'll need to make sure our complexes have some properties. But first, we need to know what the face of a simplex is:
Given a simplex $\{v_0,v_1,…,v_n\}$, a face is the simplex defined by a subset (e.g. $\{v_1,v_2,…,v_n\}$ is a face, and so is the original simplex). If you think of a tetrahedron, for instance, the faces are the four triangular faces we're used to calling faces as well as the six lines on the edges, and the four individual points. So the faces are kinda similar to our intuitive notion of a face. Now we can define a simplicial complex. A simplicial complex $K$ is a collection of simplices with the following properties (see mathworld):
- Each face of a simplex in $K$ is itself a simplex in $K$
- The intersection of two simplices in $K$ is itself a simplex (hence in $K$)
It's the second rule that's really the crux of everything, as we'll see. But let's go through some examples…
The Apple logo can be triangulated by two disjoint 2-simplices (along with all the appropriate faces of the two). So we basically forced the first property to hold, and since the two simplices are disjoint the second property trivially holds.
The filled water-balloon on a string can be triangulated by a 3-simplex attached to a 1-simplex along with all the appropriate faces. The filled water-balloon part is clearly the 3-simplex, and the string is the 1-simplex. So let's prove that the two properties hold. The first one holds trivially, since we defined it as the union of all the faces. The second property holds because if you take any two simplices in this complex, either they intersect at the point on top (a 0-simplex) or they don't intersect at all! (Pardon the hand waving proof there).
The (hollow) air-filled balloon, on the other hand, is a bit harder to triangulate, but we'll barrel through it. We can glue four 2-simplices together to be like a hollowed out 3-simplex, then attach a 1-simplex as the string to one of the vertices of the hollow tetrahedron, and we'll be done. All that's left is to show the two properties hold. That's left as an exercise to the reader (ah, the good life).
The doughnut, on the other hand, is a lot more complicated to triangulate. To do that we'd have to specify if we're talking about the shell of a doughnut or a filled in one. Although this is a fun exercise, the traditional way to triangulate the torus doesn't have much to do with what we're going to be using this stuff for, so I'll take a more data-science type approach to this. If we have a bunch of data arranged in the shape of a torus, we can just take the union of the simplices defined by taking a point and the 3 nearest points to it, and creating the convex hull of those points (or considering them as a 3-simplex).
But it would be useful to triangulate the torus using the more traditional approach. To get you started on the right track, you'll need another tool: association. An association is basically a way of considering things to be equal. It's kinda like defining specific teleportation or something. I think it's best to just work out an example. So let's triangulate some things (like a sphere – the air-filled balloon, for example) but without using the fact that we're in 3-D space and using associations instead. Let's start with two 2-simplices joined at one edge (to make something that looks like a square).
We then make the following association: we say anything along the line $(\langle1\rangle,\langle2\rangle)$ is associated with things on the line $(\langle4\rangle,\langle3\rangle)$ – where order is important. If we want to make it more formal, we could parameterize the line connecting $\langle1\rangle$ to $\langle2\rangle$ by a parameter $t$ such that $f_0(0) = \langle1\rangle$ and $f_0(1) = \langle2\rangle$. We describe this visually like so:
We're considering all the points on the top line to be associated with (or equal to) their corresponding points on the bottom line. You can imagine this to be kinda like pacman: when you go off the top edge, you come back from the bottom edge in the same direction (because of the association that we've made). So, we might as well fold the paper over and tape the two sides together so as to better visualize the association we've made. But when we do that, we notice we have a tube!
So the association shown above can be described as a tube. Unfortunately, it's not a simplicial complex though. This can be seen because if we call the top-left triangle $A$, and the bottom-right one $B$, the intersection of $A$ and $B$ is the diagonal line $(\langle1\rangle,\langle3\rangle)$ and the associated line (it's only one because the two are associated – hence the same line) $(\langle1\rangle,\langle2\rangle) = (\langle4\rangle,\langle3\rangle)$. So the intersection is two lines, which is a simplicial complex, but not a simplex! So this triangulation doesn't have the second property that we require all simplicial complexes to have.
We could make it a simplicial complex by dividing the thing into a 9 square grid (so 18 triangles) and then doing the same thing again with the top being associated with the bottom, but it's a lot to write out. Try it out though. See if you can make it a simplicial complex. If you run into any issues, feel free to email me.
Moving on… Now if we just flipped the association, we get a möbius strip!
It might be useful to actually break out a piece of paper and do this if you've never done it before.
If we take the tube and add this one association it becomes a torus (a hollow doughnut)!
Notice that we identify which sides are connected by the fact that they share the same symbol (the double arrow is connected to the other double arrow, and the single arrow does likewise).
If you're trying it out on paper, make sure you label the points so you can see them! If you reverse the direction one side of the second association, you get something very different – a Klein bottle!
I feel like it's probably a bit cruel of me to have put this after the picture, in case you've been trying to make the last one with your paper… It turns out, you can't make the last one in 3D space. You need to either use an extra dimension or tear the paper, unfortunately. But, it's interesting to see that flipping the association completely changes the thing – kinda like chirality in chemistry.
Like if we take the möbius strip and make the following additional association, you get something called the Projective Plane (\(\mathbb{P}^2\) – also not embeddable in 3D space).
And finally, the following association leads us to a sphere, or, more precisely, the surface of a sphere.
Then, since all the points on the top line (and the bottom, left, and right lines) are all associated, imagine contracting them while keeping the inside of the bag relatively unchanged (as far as area is concerned). So necessarily the bag will puff up like a bubble as the sides squish down to a smaller and smaller hole. Eventually, the edge becomes just a point, and what do we have? Yup, we've got a sphere. So that's one way we can triangulate a sphere.
The problem is that none of these are simplicial complexes. Why not? Can you fix these so that they become simplicial complexes?
So we've triangulated some things, defined what simplices and simplicial complexes are, but we haven't yet found their utility. For that, just stay tuned! In the next episode we'll go over Betti Numbers and how to compute them using these simplicial complexes!


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Bahraini authorities claimed to uncover an international terrorist cell planning assassination attempts in the Kingdom and accused Iran of backing the terrorists. The Iranian government issued statements in response to the accusations. The League of Arab States expressed support for Bahrain in all of its counter-terrorism efforts. The Kingdom continues to garner scrutiny regarding its human rights record The Bahraini government took steps to ban the main opposition party and transfer many civilian judicial cases to military court. Bangladeshi Embassy in Bahrain issued a temporary ban on its nationals entering the country until workers' rights were addressed. A number of Indian workers in Bahrain also appealed to their government for assistance regarding workers' rights. The Trump administration told Congress it plans to move forwarded with a billion-dollar arms deal with Bahrain despite human rights violations warranting backlash from groups like Amnesty international. The British government was also scrutinized for not backing a joint United Nations Statement criticising Bahrain's human rights record. Bahrain's parliament extended an invitation to UN Human Rights Chief for an unrestricted visit after he made a statement regarding human rights in the Kingdom. A major military training exercise with Egypt, the UAE, and Bahrain commenced. Strong ties between Jordan, the UAE, and Egypt prevail as leaders made statements in support of Bahrain. Saudi Arabia and Bahrain signed nine agreements to carry out projects relating to water, housing, infrastructure, and electricity estimated to be worth around SR 1 billion. The Sixth Bahrain- Turkish Joint Committee convened in Ankara. A delegation of business men from Gulf nations arrived in Islamabad for the Pakistan-Bahrain Business Opportunities Conference. The Bahrain Economic Development Board (EDB) seeks to make Bahrain a fintech hub with the help of Singapore. Bahrain Bourse (BHB) celebrated the launch of the Bahrain Investment Market (BIM). Bahrain's tourist industry is rapidly growing and is expected to reach $1 billion by 2020.Read More
Angola /
A report written by Angolan journalist Rafael Marques, which has drawn attention to the way in which foreign consultants are being paid by the state oil company Sonangol, has been highly criticised in a statement issued by the company. Angolan authorities have reportedly ignored the fact that the Brazilian firm Odebrecht had admitted $50 million in bribes to secure contacts in Angola. Eight men accused of having sought to perform a military coup to topple Angolan President José Eduardo dos Santos were sentenced to between four to ten years in prison. Angola has closed a border point with the DRC, following a deterioration of the security situation in the DRC's Kasai Province. Approximately 200 protestors in Luanda took part in a protest against a draft law criminalising abortions. The protest remained peaceful. At least eleven people have been killed and thousands of people left homeless as a result of flooding. Angola remained the top oil producer in Africa during February 2017. According to the OPEC's monthly report concerning the oil market, Angola remained the top oil producer in Africa during February 2017. Angola's Oil Ministry will submit a proposal within 60 days to revise the country's Oil Law. The Oil Law is to be drawn up by an ad hoc commission. Angola, represented by its Minister of Industry, Bernarda Martins, took part in the Global Summit on Manufacturing and Industrialisation in Abu Dhabi. According to China's ambassador to Angola, Cui Aimin, China intends to invest in the agricultural and industrial sectors, as well as in the processing of products, in eastern Angola. Norway's Secretary of State for Foreign Affairs, Tone Skogen, declared Angola the main economic partner of Norway in Africa.Read More
Yemen /
The Kuwaiti government launched a new project in Yemen named "Kuwait by your side" on 23 March. The spokesperson for the United Nations High Commissioner for Refugees (UNHCR) confirmed on 24 March that the agency has reached the besieged city of Mokha in the western governorate of Taizz. Médecins Sans Frontières (MSF) withdrew from the Al-Thawra hospital in Ibb on 23 March. A pro-Houthi court sentenced internationally- backed President Abd Rabbuh Mansour Hadi to death for high treason on 25 March. To mark the two year anniversary of the Yemeni conflict, mass rallies were staged in the Houthi held capital of Sanaa on 26 March. At least one hundred Saudi soldiers were killed or injured in two days during retaliatory attacks on military positions in south-west Saudi Arabia by Houthi forces. 42 Somali refugees were killed of the Yemeni coast when their boat was attacked by a helicopter on 17 March. The United Arab Emirates (UAE) have been permitted to construct a military base in the port of Berbera in the self-declared republic of Somaliland. The United Nations (UN) reported on 24 March that a third of Yemen's 22 provinces are on the brink of famine. According to senior officials in the United States' (US) government, Donald Trump gave permission to the US military to increase the number of raids and drone strikes it carries out in Yemen. The Pentagon reported at the beginning of March that it had carried out over 20 air strikes on various positions of al-Qaeda targets in Yemen. Four al-Qaeda militants were killed in a drone strike in the province of Abyan on 29 March. The Yemeni government appealed to the UN Special Envoy for Yemen, Email Ould Shaikh Ahmad, on 6 March to apply pressure on the Houthi rebels in Sanaa to transfer state revenues to the central bank in Aden.Read More
The US has banned passengers from carrying certain portable electronic devices in cabins on specific flights from the UAE. The UAE will cooperate with this policy. The Assistant Minister of Foreign Affairs and International Co-operation for Legal Affairs summoned the Swiss Ambassador to the UAE in light of a Swiss statement criticising Bahrain. Sheikh Mohammed bin Rashid Al Maktoum unveiled the UAE Centennial 2017 Plan, which aims to make the UAE the "best" country in the world. It was announced at a press conference for the Year of Giving that 1,400 charity initiatives are to be launched across the seven emirates. Sheikh Mohammed bin Rashid Al Maktoum has announced the formation of the World Happiness Council. Human Rights Watch, as well as a number of UN human rights experts, have called for authorities in the UAE to release human rights activist Ahmed Mansoor. Nasser bin Ghaith, an economist and lecturer, was jailed for 10 years because he allegedly criticised Egypt. Jordanian journalist Tayseer al-Najjar was convicted under Article 29 of the UAE's Cybercrime Law, sentencing him to three years in prison and fining him 500,000 UAE Dirhams. Ukrainian national Iryna Nohai and her South African financé Emlyn Culverwell, who were accused of "unlawful sex", have been released and charges against them have been dropped. The UAE has pledged €50 million to the Interpol Foundation for a Safer World. SAP announced on 14 March its five-year strategy to invest $200 million in the UAE. This declaration came as the German firm introduced its new MENA regional headquarters in Dubai Internet City. The Cabinet of the UAE approved the establishment of the UAE Council for the Fourth Industrial Revolution.Read More
Somalia /
The United States of America plans to pursue deeper military involvement in Somalia to fight the threat of Al- Shabaab in the region. The country plans to provide greater assistance to national forces, as well as launch more air strikes on the terrorist group's camps. It has also sponsored military exercises for the Somali National Army to better equip it to deal with security threats, especially after troops of the African Union Mission in Somalia (AMISOM) start withdrawing from next year. AMISOM troops have also taken measures to proliferate action against Al-Shabaab. A recent attack by AU troops and local forces killed 57 militants, while Kenyan military jets carried out overnight strikes on Al-Shabaab camps in the Gedo region of the country. However, Al-Shabaab still remains one of the greatest political threats in the country as it has claimed responsibility for a car bomb attack near the presidential palace. The group does not support Western involvement in Somalia, and has warned of further attacks. At least 7 people have been killed in car bomb blasts near the president's residence. The leaders of several African countries including Kenya, Uganda, Ethiopia met with the Somali president to discuss refugee repatriation. The Dadaab camp in Kenya is the largest refugee camp in the region and is home to thousands of Somali refugees. Kenyatta, the president of Kenya stated that refugee camps cannot be a permanent home and stated that the country will remain firm on their decision to close the camp and return Somalis to Somalia. Somalia is also victim to internal political instability: the Galmudug state is looking to elect a new president for the state government after President Guled resigned, citing health reasons. The Puntland army has also protested against the Financial Minister, claiming that they have not been paid their salaries in over eight months. The president of Somalia has declared a national emergency in the face of worsening drought conditions. The World Health Organisation estimates that 6.2 million Somalis, over half of the country's population are in need of urgent humanitarian aid. The famine has also caused an outbreak of cholera, with over 13,000 cases in this year alone. The government is looking to implement a vaccination campaign to prevent and treat the threat. Local and international agencies have written a joint letter to the United Nations imploring it to ask member states to assist Somalia through its economic and political difficulties. Although aid has been provided, far more is required to avoid a famine such as the one Somalia experienced in 2011.Read More
Sierra Leone /
Sierra Leone's electoral commission began registering voters for the March 2018 elections and are using biometric registration machines to allow registration to be secure and efficient. Sierra Leone's ambassador to China resigned and highlighted the agreements signed between the two countries in December 2016 that will support cooperation in health, finance, and diplomacy. A 706-carat diamond was found in the Kono region in Sierra Leone and the government will hold a transparent auction for it and use the proceeds to benefit the community and country. The Ministry of Health and Sanitation officially received a mobile diagnostic laboratory from the United States (US), which is part of the US' work to support Sierra Leone against future health crises. Lassa fever, an acute viral haemorrhagic illness, has been confirmed in Sierra Leone and other African countries. The Partnership for Research on Ebola Virus began a study to test potential vaccines for Ebola in February 2015 and recently expanded to Guinea and announced it will include Sierra Leone. Sierra Leone's economy was reported to be struggling the most since the Ebola crisis. The International Monetary Fund completed a two-week visit to Sierra Leone and discussed an Extended Credit Facility arrangement, which helps countries with drawn- out balance of payment problems. KLM, Royal Dutch Airlines, resumed flights to Sierra Leone after 21 years.Read More
Russia /
In what is being referred to as an act of state sponsored terrorism, a former pro-Ukrainian Russian MP was shot dead in public. Russia continues to deny any state involvement in Yahoo email hack. Japan and Russia met regarding a territorial dispute of several islands north of Hokkaido. Following concerns regarding the Libyan army, Russia has deployed Special Forces units to western Egypt. Pakistani Prime Minister Nawaz Sharif declared his intentions for a closer partnership between Pakistan and Russia in the near future. India and Russia are cooperating in an attempt to upgrade the Indian tank brigade's tank technology. Russia to lift economic sanctions on Turkey according to Turkish Prime Minister Erdogan. Russia and Iran ink an economic deal during Hassan Rouhani's first official visit to Moscow. The Russian Central bank unexpectedly cuts interest rates as the Russian economy continues to struggle.Read More
Pakistan /
Pakistan reopened its border with Afghanistan after closing it in February. It was estimated that Pakistani exports to Afghanistan fell from $2.5 billion to $1.3 billion due to the month long closure. Pakistan is constructing a fence along its disputed border with Afghanistan to prevent future militant incursions. Delegates from twenty three Asian countries met in Pakistan to discuss forming an Asian regional block similar to the European Union (EU). India and Pakistan agreed to resume talks over the Indus Waters Treaty and related hydropower projects being built along the river system. One Indian project will be redesigned to alleviate Pakistani concerns, and there will be a subsequent meeting in April with the World Bank (WB) present to aid in negotiations. The Pakistani cabinet approved a plan to reform its tribal regions along the border with Afghanistan and bring them up to par with the rest of the country. The Pakistani National Assembly passed legislation to reinstate military courts; a subsequent Senate vote is still necessary for them to be reinstated. The Pakistan military launched a massive operation to crack down on militants, arresting over 1300 and killing over 100 in raids across the country. Pakistan suffered a number of terrorist attacks during March leaving at least 25 dead and 72 injured. A prominent Ahmadi activist, a minority community that has been subject to sectarian violence, was killed by Lashkar-e-Jhangvi gunmen. Pakistan and Indian continued to clash over the Line of Control (LoC) throughout March. The Pakistan army will send soldiers to Saudi Arabia to help defend its southern border from attacks mounted by Houthi groups in Yemen. The decision is contentious, as the Pakistani parliament voted against such a move in 2015. Pakistan hosted the 13th Economic Cooperation Organisation (ECO) Summit, using it as an opportunity to highlight the benefits of the China-Pakistan Economic Corridor (CPEC) in the hope members of the ECO will join. Pakistan signed a Memorandum of Understanding (MoU) with China to allow the holding of joint audit on a number of selected CPEC projects. Pakistan signed agreements with the WB containing $432.7 million of loans and grants. Minister of Planning and Development of Pakistan Ahsan lqbal announced that Pakistan was the fastest growing Muslim economy in world, with Standard Chartered Group Chief Executive Bill Winters predicting that the country has potential to grow by 7 per cent this year. The State Bank of Pakistan decided to keep the policy rate unchanged at 5.75 per cent.Read More
Nigeria /
Human insecurity due to food shortages in the north east of the country remains a pressing concern as President of the UN Security Council, Matthew Rycroft, said the issue was not getting sufficient attention. The President has returned to Nigeria after spending two months in London. Nigeria continues to experience regular episodes of violence, both linked to terrorism and inter-communal conflicts. On 15 March four female teenage suicide bombers blew themselves up in the Muna Garage residential area of Maiduguri, after knocking on the door of a house and then detonating their bombs when the door was answered. The focus on individual homes is a new tactic. Two people were killed and sixteen injured. Five adult male suicide bombers attacked various points of the Maiduguri-Gamboru highway in Maiduguri on 23 March. At least 8 were killed and 20 injured. One of the bombers struck at the Muna camp for displaced people on the outskirts of the city, killing two civilians. Continuing tensions between Muslim nomadic Fulani cattle herders and Christian farmers led to a clash on 21 March which resulted in 17 people –mostly women and children – being killed after gunmen invaded a farming community in Zaki Biyam in Benue State. A week earlier 10 people were killed in the Buruku area of Benue State in similar clash a week earlier. A Presidential advisor has warned that the amnesty programme for former oil militants is running out of funding. Inflation has slowed from 18.7 per cent to 17.8 per cent in the past month. The government has announced plans to sell stakes in oil ventures; international investors will be reluctant.Read More
Morocco /
The new Secretary-General of the United Nations (UN), Antonio Guterres, will appoint a new Personal Envoy to the Western Sahara. Morocco's King Mohammed Vl finished his widely followed African tour on 14 March. Morocco's new Head of Government, Saad Eddine Othmani announced the formation of a new coalition government. A Conference of African Ministers of Finance scheduled for 27 March was cancelled due to disagreements between countries over the Western Sahara issue. Morocco and Spain agreed a new partnership to increase security surrounding the Spanish enclaves of Ceuta and Melilla on 5 March. The Polisario Front announced on 5 March that it would ignore UN calls for a withdrawal from the Guerguerat region. An IMF report suggested that economic growth in Morocco is being slowed by gender inequality. A 115bn Dirham project to develop the Casablanca-Settat region was approved on 6 March. The African Development Bank (ADB) approved its 2017-21 Morocco strategy on 8 March, which seeks to boost economic growth in the country. The Moroccan Central Bank voted to keep interest rates unchanged on 21 March at its first quarterly meeting. King Mohammed Vl presided over the opening of a new $1.1bn technology park in the city of Tangiers on 22 March.Read More

subset: commoncrawl


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Is puzzle platform video game developed by Double Eleven. As in previous titles in the LittleBigPlanet series, players control a character named Sackboy through a variety of worlds utilising the character's various abilities such as jumping and grabbing objects. It also features various non-platforming mini-games. Numerous multiplayer options are available. As well as up to four-player online competitive or co-op gameplay, the PlayStation Vita's multi-touch display can be used by two players for competitive games. "Pass'n'Play" is also available, enabling turn-based gameplay.[8] The rear touchpanels present on the PlayStation Vita is also used for pushing objects toward the player, creating platforms out of parts of the world.
2012 Puzzle Single-player Multiplayer
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), ultra creative, Ultra WARM and ultra passionate, (about entrepreneurial achievement), focused and charming Latin American female Soft butch trans women.
PLease put kiss in title so I can get rid of spam. I like many genres of music from heavy metal to classical. Waiting To Eat. Someone that can hold a conversation. Friendcuddle buddy w4m Just looking for a friendcuddle buddy to talktxt.
Butch and femme are terms used in the lesbian [1] subculture to ascribe or acknowledge a masculine butch or feminine femme identity with its associated traits, behaviors, styles, self-perception, and so on. This concept has been called a "way to organize sexual relationships and gender and sexual identity". Both the expression of individual lesbians of butch and femme identities and the relationship of the lesbian community in general to the notion of butch and femme as an organizing principle for sexual relating varied over the course of the 20th century.
The word femme is taken from the French word for woman. The word butch , meaning "masculine", may have been coined by abbreviating the word butcher , as first noted in George Cassidy's nickname, Butch Cassidy. There is debate about to whom the terms butch and femme can apply, and particularly whether transgender individuals can be identified in this way.
For example, Jack Halberstam argues that FTM transgender persons cannot be considered butch since it constitutes a conflation of maleness with butchness. He further argues that butch—femme is uniquely geared to work in lesbian relationships. On the other hand, the writer Jewelle Gomez muses that butch and femme women in the earlier twentieth century may have been expressing their closeted transgender identity.
Scholars such as Sigmund Freud , Judith Butler , and Anne Fausto-Sterling suggest that butch and femme are not attempts to take up "traditional" gender roles. Instead, they argue that gender is socially and historically constructed, rather than essential, "natural", or biological. The femme lesbian historian Joan Nestle argues that femme and butch may be seen as distinct genders in and of themselves.
A masculine person of any gender can be described as butch, even though it is more common to use the term towards females with more masculine traits. It is not uncommon for women with a butch appearance to face harassment or violence. Like the term "butch," femme can be used as an adjective or a noun.
Because they do not express masculine qualities, femmes were particularly vexing to sexologists and psychoanalysts who wanted to argue that all lesbians wished to be men. In the first half of the twentieth century, when butch-femme gender roles were constrained to the underground bar scene, femmes were considered invisible without a butch partner - that is, they could pass as straight because of their gender conformity.
By daring to be publicly attracted to butch women, femmes reflected their own sexual difference and made the butch a known subject of desire. The separatist feminist movement of the late s and s forced butches and femmes underground, as radical lesbian feminists found lesbian gender roles to be a disappointing and oppressive replication of heterosexual lifestyle.
In this new configuration of butch and femme, it was acceptable, even desirable, to have femme-femme sexual and romantic pairings. Femmes gained value as their own lesbian gender, making it possible to exist separately from butches. For example, Susie Bright , the founder of On Our Backs , the first lesbian sex periodical of its kind, identifies as femme. In "Negotiating Dyke Femininity", lesbian scholar Wendy Somerson , explains that women in the lesbian community who are more feminine and do not fit into the "butch" stereotype can pass as straight.
She believes the link between appearance and gender performance and one's sexuality should be disrupted, because the way someone looks should not define their sexuality. In her article, Somerson also clearly talks about how within the lesbian community some are considered more masculine than others. Femmes still combat the invisibility their presentation creates and assert their sexuality through their femininity.
Some women in lesbian communities eschew butch or femme classifications, believing that they are inadequate to describe an individual, or that labels are limiting in and of themselves.
Other people within the queer community have tailored the common labels to be more descriptive, such as "soft stud," "hard butch," "gym queen," or "tomboy femme. In the s and s the term chi-chi was used to mean the same thing.
Those who identify as butch and femme today often use the words to define their presentation and gender identity rather than strictly the role they play in a relationship, and that not all butches are attracted exclusively to femmes and not all femmes are exclusively attracted to butches, a departure from the historic norm. The meanings of these terms vary and can evolve over time.
A woman who likes to receive and not give sexually is called a "pillow queen". The term boi is typically used by younger LGBT women. Defining the difference between a butch and a boi, one boi told a reporter: To me, butch is like an adult You're the man of the house.
Lesbians who are unisex and neither butch nor femme are called "androgynous" or "andros". Another common term is "Stud". A stud is a dominant lesbian, usually butch. They tend to be influenced by urban and hip-hop cultures and are often, but not always, Afro-American. In , filmmaker Daniel Peddle chronicled the lives of AGs in his documentary The Aggressives , following six women who went to lengths like binding their breasts to pass as men.
But Peddle says that today, very young lesbians of color in New York are creating a new, insular scene that's largely cut off from the rest of the gay and lesbian community. Prior to the middle of the 20th century in Western culture, homosexual societies were mostly underground or secret, making it difficult to determine how long butch and femme roles have been practiced by women. It is known that butch—femme dress codes date back at least to the beginning of the 20th century as photographs have survived of butch—femme couples in the decade of — in the United States; they were then called "transvestites".
Butch and femme lesbian genders were only starting to become apparent in the s, since it started to become common to allow women to enter bars without men. The s saw the rise of a new generation of butches who refused to live double lives and wore butch attire full-time, or as close to full-time as possible. This usually limited them to a few jobs, such as factory work and cab driving, that had no dress codes for women.
Although femmes also fought back, it became primarily the role of butches to defend against attacks and hold the bars as gay women's space. Although butch—femme wasn't the only organizing principle among lesbians in the midth century, it was particularly prominent in the working-class lesbian bar culture of the s, '50s, and '60s, where butch—femme was the norm, while butch—butch and femme—femme relationships were taboo. Rush reported that women held strong opinions, that "role distinctions needed to be sharply drawn," and that not being one or the other earned strong disapproval from both groups.
In contrast to ONE, Inc. This was especially true in relation to the butch identity, as the organization held the belief that assimilation into heterosexual society was the goal of the homophile movement. Gender expressions outside of the norm prevented assimilation. In the s, the development of lesbian feminism pushed butch-femme roles out of popularity.
Lesbian separatists such as Sheila Jeffreys argued that all forms of masculinity, including masculine butch women, were negative and harmful to women. This dress was very similar to butch dress, weakening a key identifier of butch lesbians. While butch-femme roles had previously been the primary way of identifying lesbians and quantifying lesbian relationships in the s, 50s, and 60s, lesbian feminist ideology had turned these roles into a "perversion of lesbian identity".
In these excluded communities, butch-femme roles persisted and grew throughout the s. From Wikipedia, the free encyclopedia. This article possibly contains original research. Please improve it by verifying the claims made and adding inline citations. Statements consisting only of original research should be removed. May Learn how and when to remove this template message. Rutledge International Encyclopaedia of Women. Critical Introduction to Queer Theory. Intellectual Stalemate in the Gay Rights Debate.
An Exploration of Lesbian Stereotypes". Journal of Lesbian Studies. Retrieved May 2, Continuum International Publishing Group. All Ways Butch and Femme. Edited by Ivan Coyote and Zena Sharman. Retrieved 31 March Butch is a noun.
Retrieved May 1, Retrieved November 29, Odd Girls and Twilight Lovers: Stories of a Lesbian Generation. University of California Press. Journal of the History of Sexuality. A Femmethology, Vol 1. Tribades, Tommies and Transgressives: New York News and Features. A guide to types of lesbian".
Routledge International Encyclopedia of Women. A Model of Modern Femme Identity". Boots of Leather, Slippers of Gold: The History of a Lesbian Community. The Disability Studies Reader. Archived from the original on Activists in lesbian and gay rights in historical context. The Politics Of Lesbian Sexuality". Retrieved September 21, A Lesbian Feminist Perspective. Social Perspectives in Lesbian and Gay Studies: A Phenomenon in Lesbian Sexuality of the s and s". Gender and sexual identities. Asexual Bisexual Heterosexual Homosexual.
Disorders of sex development Ego-dystonic sexual orientation Erotic target location error Gender roles Hermaphrodite Human female sexuality Human male sexuality Intersex Sex and gender distinction Sex assignment Sex change Sex reassignment surgery Sexuality and gender identity-based cultures Social construction of gender The NeuroGenderings Network Violence against women and men gendercide./p>
First we are distanced and told we are not feminists, even though many of us have spent years building the Movement. Then we are told we are patriarchal, that we are the voices of submission and dominance, that we are heterosexual lesbians.
The doors close to us. By allowing ourselves to be portrayed as the good deviant, the respectable deviant, we lose more than we gain. We lose the complexity of our own lives, and we lose what for me has been a lifelong lesson: In that moment, our womanhood became seen as wrong or the problem: As it turns out, butches and femmes did.
I came to my femme identity in many ways. When I was younger, sex and sexuality was really confusing: A few years ago, after I came out as queer and trans, I talked to an older friend of mine, asking them if they knew I was queer before I did. Around the same time, I began doing more community organizing and some of my mentors in that work were cis queer femme identified women who at first were people I looked up to.
After coming out as trans and genderqueer, I realized that they were modeling the kind of woman, femme, and organizer I wanted to become. It was the cis femme who I met when I was working a table at a conference who took me out to dinner with her cis butch partner the next day and later taught me how to paint my nails and six years later, the three of us are family despite the fact that we live on opposite coasts. It was the femmeships in my life who inspired me, made me feel seen and affirmed, and the relationships with partners, one of whom half-joked that as queer women we were becoming more lesbian through dating each other.
It was the queers, femmes, butches, genderqueers, dykes, that made and make up my organizing community, my friendships, my ex-partners, and the people I build family with that make me inspired, feel seen and affirmed, alive in my dignity and wholeness. All Ways Butch and Femme. All of it created the way that my femme identity functions as a dare, a longing, and a political decision about how to move in the world. To me, femme is a queer gender with lesbian and trans lineages of femininities that challenge patriarchy, heterosexism, capitalism, cissexism, and white supremacy.
It deeply informs my trans womanhood while remaining separate from it, shaping how I can inhabit a binary gender and play with it in a way that stretches past the lines patriarchy and cissexism puts in place. I want it to be a life we constantly braid together from the threads of our existence, a rope we make, a flexible weapon, stronger than steel, that we use to pull down the walls that imprison us at the borders. It would also be wrong to treat butch and femme identities as only in relationship to each other.
And of course, language is changing and shifting all the time so people can more accurately identify themselves on our own terms. Because I would not be here, as I am, without that legacy and without those people — and for that I am grateful and loving even in the middle of hard, messy, complicated conversations where no one is asked to shrink or shirk their dignity. Feminist theory rejected the notion of gender rules, and recognised masculinity and femininity as socially constructed rather than innate.
I and many other feminists were often severely punished and discriminated against for refusing to conform to gender. Our butch sisters, who had rejected femininity only to embrace stereotypical masculine appearance and behaviours, often suffered more that those of us attempting a gender-neutral stance. These women did not wish to pass as men — they were very proudly lesbian — and wore their butchness as a badge of honour.
Men picked on them, often violently, probably because they saw their own masculine identity as under threat if women can embrace it, and get some good-looking femmes to sleep with them, what does that mean for men? Today, the old butches are a dying breed. The veterans of the Gateways club are now as likely to blend in with the rest of us than wear a suit, tie and starched shirt. And many straight women are meeting us lesbians somewhere in the middle, and are also rejecting feminine fripperies, now that the punishment for doing so — after five decades of feminism — is less severe.
During a recent trip to Sweden, for example, I thought most women I saw in the street were lesbians, and the men sitting around in cafes with their babies, gay dads. It would appear that many folk can only cope with women as feminine and men as masculine.
A number of lesbians I know who are on the butch side have been asked when they are transitioning. Being openly and proudly butch has now, as DeLaria says, become something that many in the lesbian community look down on.
Writers have questioned what makes a butch woman in particular: Is The " stone butch" was an epitome of the butch identity; a lesbian Butch lesbians and trans folks alike saw a reflection of themselves in Feinberg's work. J Lesbian Stud. ;20(1) doi: / She's always a woman: Butch lesbian trans women in the lesbian community. But a growing number of trans women identify as butch lesbians and Daughters of Bilitis, in ; the campaign that led to Sandy Stone leaving the women's.


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Pots in their new homes
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This article is only available in the PDF format. Download the PDF to view the article, as well as its associated figures and tables.
To the Editor.
—Routine fluorescein angiography occasionally produces an overexposed set of negatives. When these negatives are viewed against a brightly illuminated background, such as an x-ray film view box, glare surrounding the dark photographic image can obscure detail. I have been using a simple device to screen out glare, improving visibility in this situation.
Materials and Methods.
—A thin piece of cardboard is cut to the approximate dimensions of the bottom of a stereo viewer. A hole of approximately the same size as a single angiographic frame is cut in the cardboard so that most of the light coming through the clear film around the image is screened out. A second hole is positioned so that two adjacent frames can be viewed simultaneously when the screen is placed over a strip of angiographic negatives (Figure). Elastic bands allow this device to be hooked onto and removed from a stereo
Boldrey EE. Enhanced Viewing of Dark Fluorescein Angiographic Negatives. Arch Ophthalmol. 1982;100(4):665. doi:10.1001/archopht.1982.01030030667033
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According to the Centers for Disease Control and Prevention, over the past decade, the death rate from falls has increased 63% for men and 83% for women. While rehabilitation and wellness services have always coincided with long-term care, Functional Pathways is focusing on such trends and becoming innovative by promoting programs that will keep people living independent longer and beat the statistics.
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Wadjet Eye Games > Emerald City Confidential
Not In Steam Sale?
Emerald City Confidential isn't part of the Steam sale? I'm shocked. I've been waiting until the Steam Summer Sale to buy it. :'(
ECC isn't mine to sell, unfortunately. It's owned by PlayFirst. So if they want it as part of a Steam sale, they have to push for it. It looks like they haven't. :(
Aww, PlayFirst isn't showing any love in Steam then, darnnit. Thanks for the response, Dave. ;D
I have to same here I want this game and was really looking forward to grabbing it on the Steam Summer Sale. I waited and waited and even to the last day hoped it might make it in but nothing.
I guess I will just keep waiting and hope eventually it goes on sale there someday.
Unfortunately, the good old PlayFirst is no more.
After re-organization, they are now engaged in iOS/Android games only and don't even support PC games.
[0] Message IndexGo to full version


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Something that I get asked, quite frequently, is 'How do I get everything done?'. I assume that most of the time people mean working on my blog, running an allotment, looking after my home/family, baking, cooking, seeing the people I love regularly and making time for hobbies too. I don't have a magic formula. I'm also not better than anyone else at these things, that I know of. However, today I thought I would write a post to share with you just how I get everything done. This post isn't designed to show that I'm awesome, or make anyone else feel inadequate.
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Dracula: The Bloody Truth
05:00 pm - 05:00 pm
Vertigo Theatre - 115 9 Ave SEwww.vertigotheatre.com
Dracula: The Bloody TruthBy Le Navet Bete & John Nicholson
Professor Abraham Van Helsing leaps off the pages of Dracula and onto the stage to tell you, dear theatre-goer: Bram Stoker's novel had it all wrong! At last, Van Helsing hopes to set the record straight and bring the 'truth' of the legendary vampire and his terrifying story to light...even if he only has three amateur actor's to help him do it! Van Helsing and his troupe leap into 40 different characters on a breakneck journey from the Transylvanian mountains to the seaside town of Whitby. This North American Premiere will be a farcical side-splitter for family audiences and vampire lovers alike.
Shopping & Style
Bankers Hall Holiday HoursDecember 5, 2018
Monday - Friday 10:00 am until 6:00 pm Saturdays 10:00 am until 5:00 pm December 24th (Chris... Read More
Bankers Hall - 315 8th Avenue S.W.
Stage & Screen
Dracula: The Bloody TruthDecember 5, 2018
By Le Navet Bete & John Nicholson Professor Abraham Van Helsing leaps off the pages of Dracula an... Read More
05:00 pm - 05:00 pm
Vertigo Theatre - 115 9 Ave SE
Stage & Screen
Zorro: Family CodeDecember 5, 2018
The legend lives on In 19th century Spanish California, a heroic (but aging) masked outlaw known... Read More
06:30 pm -
Martha Cohen Theatre - 215 8 Ave SE
Stage & Screen
5th Annual ACAD Film FestDecember 5, 2018
HORSE CLUB is very excited to present the 5th Annual ACAD Film Fest! The evening will include a s... Read More
07:00 pm - 09:00 pm
Globe Cinema - 617 8 Avenue SW
Stage & Screen
ProArts presents FREE Calgary Renaissance SIngers concertDecember 5, 2018
Calgary Renaissance Singers & Players (CRSP) specializes in performing Renaissance music and music t... Read More
12:00 pm - 01:00 pm
Cathedral Church - corner of 7 Ave and 1 Street S.E.
Sounds & Vibrations
DAILY HOLIDAY PERFORMANCESDecember 5, 2018
The CORE is excited to open our doors to the Calgary arts community this holiday season! We will be ... Read More
12:00 pm - 01:00 pm
Core Mall - 324 8 Avenue SW
Festivals & Fanfare
FREE SANTA PHOTOS AT THE CORE!December 5, 2018
Join the CORE this holidays season as we welcome Santa downtown every Thursday - Sunday starting Nov... Read More
12:00 pm - 05:00 pm
The CORE - 324 8 Ave SW
Stage & Screen
The Pink UnicornSeptember 20, 2019
Truth is, I dont even know where were going. But Im gonna keep my heart open Some battles o... Read More
Lunchbox Theatre, 160, 115 9 Avenue SE
Stage & Screen
No Change in the Weather - A Newfoundland MusicalSeptember 20, 2019
No Change in the Weather takes some of the finest Newfoundland songs, and combines them with traditi... Read More
08:00 pm - 10:30 pm
The Grand, 608 1 St SW, Calgary, AB, T2P 1M7


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APS6 Case Manager - Contract
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Diane Luby Lane is the founder and executive director of Get Lit–Words Ignite, a Los Angeles-based arts education nonprofit that is transforming the landscape of teen literacy by empowering new generations in literature, self-expression, and performing arts.
As an advocate of literacy and education, Diane Luby Lane is a highly sought after speaker. Known for her wit, inspirational message and, most importantly, her track record of getting results, she has been the featured speaker at numerous educational gatherings throughout the state.
Marianne Williamson, Author & Activist
Bring our movement to your life with your talent +time. At the largest youth classic poetry festival in the world. Read More
RT @marwilliamson: Under a new Trump administration plan, 500,000 children will lose their free lunches. With 13 million food insecure chil…
August 6, 2019
RT @marwilliamson: I don't mean to ruin anyone's day, but if we don't allow it to ruin our day then we just might allow it to ruin our coun…
July 16, 2019
Check out my latest article: COME TO GET LIT'S CLASSIC SLAM! https://t.co/HU6gj3dvdm via @LinkedIn
April 20, 2019
Home • About • Speaking Engagements • Get Lit • Blog • Contact
Copyright © 2017 Diane Luby Lane. All Rights Reserved. Powered by Core Canvas.


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Thursday, December 25, 2008
Terrorism → 11 March 2004 Madrid train bombings
The 11 March 2004 Madrid train bombings (also known as 3/11 and in Spanish as 11-M) consisted of a series of coordinated bombings against the Cercanias (commuter train) system of Madrid, Spain on the morning of 11 March 2004 (three days before Spain's general elections), killing 191 people and wounding 1,755.
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