title: How to generalise demonic composition

authors: Stokes, Tim E.

abstract: Demonic composition is defined on the set of binary relations over the non-empty set X, 𝑅𝑒𝑙𝑋, and is a variant of standard or “angelic” composition. It arises naturally in the setting of the theory of non-deterministic computer programs, and shares many of the nice features of ordinary composition (it is associative, and generalises composition of functions). When equipped with the operations of demonic composition and domain, 𝑅𝑒𝑙𝑋 is a left restriction semigroup (like 𝑃𝑇𝑋, the semigroup of partial functions on X), whereas usual composition and domain give a unary semigroup satisfying weaker laws. By viewing 𝑅𝑒𝑙𝑋 under a restricted version of its usual composition and domain as a constellation (a kind of “one-sided” category), we show how this demonic left restriction semigroup structure arises on 𝑅𝑒𝑙𝑋, placing it in a more general context. The construction applies to any unary semigroup with a “domain-like” operation satisfying certain minimal conditions which we identify. In particular it is shown that using the construction, any Baer ∗-semigroup S can be given a left restriction semigroup structure which is even an inverse semigroup if S is ∗-regular. It follows that the semigroup of 𝑛×𝑛 matrices over the real or complex numbers is an inverse semigroup with respect to a modified notion of product that almost always agrees with the usual matrix product, and in which inverse is pseudoinverse (Moore–Penrose inverse).

text: How to generalise demonic composition Demonic composition is defined on the set of binary relations over the non-empty set X, 𝑅𝑒𝑙𝑋, and is a variant of standard or “angelic” composition. It arises naturally in the setting of the theory of non-deterministic computer programs, and shares many of the nice features of ordinary composition (it is associative, and generalises composition of functions). When equipped with the operations of demonic composition and domain, 𝑅𝑒𝑙𝑋 is a left restriction semigroup (like 𝑃𝑇𝑋, the semigroup of partial functions on X), whereas usual composition and domain give a unary semigroup satisfying weaker laws. By viewing 𝑅𝑒𝑙𝑋 under a restricted version of its usual composition and domain as a constellation (a kind of “one-sided” category), we show how this demonic left restriction semigroup structure arises on 𝑅𝑒𝑙𝑋, placing it in a more general context. The construction applies to any unary semigroup with a “domain-like” operation satisfying certain minimal conditions which we identify. In particular it is shown that using the construction, any Baer ∗-semigroup S can be given a left restriction semigroup structure which is even an inverse semigroup if S is ∗-regular. It follows that the semigroup of 𝑛×𝑛 matrices over the real or complex numbers is an inverse semigroup with respect to a modified notion of product that almost always agrees with the usual matrix product, and in which inverse is pseudoinverse (Moore–Penrose inverse).

year: 2020

title: Primary care access and foregone care: A survey of transgender adolescents and young adults

authors: Clark, Drew B. A.

subjects: Science & technology

abstract: Objective. To examine the issues of primary care access and foregone health care among transgender adolescents and young adults. 
Methods. This cross-sectional analysis of data from the Canadian Trans Youth Health Survey was conducted online during 2013–2014. Participants included 923 youth aged 14–25 (323 adolescents aged 14–18 and 600 young adults aged 19–25). Main outcome measures were self-reported general and mental health status, comfort discussing transgender identity and health care needs with general practitioners, and types of and reasons for self-identified foregone health care. 
Results. Most youth reported poor/fair general and mental health status. Comfort with a family doctor was positively correlated with both general health (r(528) = 21, P < 0.001) and mental health (r(450) = 26, P < 0.001) status, as was having a doctor who was aware of one’s transgender status. 47.2% (n = 219) of young adults reported foregoing needed health care. Among adolescents, levels of comfort with family doctor were negatively correlated with foregone mental health care in the previous 12 months (F₃,₁₆₆ = 3.829, P = 0.011), but not correlated with foregone physical health care (F₃,₁₆₅ = 0.506, P = 0.679). Reasons for missing needed care spanned the dimensions of health care access, ranging from cost barriers to previous negative experiences with health care providers, and concerns that a doctor would be uneducated about transgender people. Conclusion. General practitioners can play a key role in improving the health of transgender youth by demonstrating understanding of the health care needs of transgender youth and competence in gender-affirming care, and by ensuring that their practices are accessible to all transgender youth in need of care.

text: Primary care access and foregone care: A survey of transgender adolescents and young adults Objective. To examine the issues of primary care access and foregone health care among transgender adolescents and young adults. 
Methods. This cross-sectional analysis of data from the Canadian Trans Youth Health Survey was conducted online during 2013–2014. Participants included 923 youth aged 14–25 (323 adolescents aged 14–18 and 600 young adults aged 19–25). Main outcome measures were self-reported general and mental health status, comfort discussing transgender identity and health care needs with general practitioners, and types of and reasons for self-identified foregone health care. 
Results. Most youth reported poor/fair general and mental health status. Comfort with a family doctor was positively correlated with both general health (r(528) = 21, P < 0.001) and mental health (r(450) = 26, P < 0.001) status, as was having a doctor who was aware of one’s transgender status. 47.2% (n = 219) of young adults reported foregoing needed health care. Among adolescents, levels of comfort with family doctor were negatively correlated with foregone mental health care in the previous 12 months (F₃,₁₆₆ = 3.829, P = 0.011), but not correlated with foregone physical health care (F₃,₁₆₅ = 0.506, P = 0.679). Reasons for missing needed care spanned the dimensions of health care access, ranging from cost barriers to previous negative experiences with health care providers, and concerns that a doctor would be uneducated about transgender people. Conclusion. General practitioners can play a key role in improving the health of transgender youth by demonstrating understanding of the health care needs of transgender youth and competence in gender-affirming care, and by ensuring that their practices are accessible to all transgender youth in need of care.

year: 2018

title: Takuahi: Te oriori mō Tāmaunga-o-te-rangi - Mana atua, mana whenua, mana tangata

authors: Dewes, Mahue

subjects: Takuahi

abstract: E roa nei tātau te Māori nō ngā wā o Hawaiki e tito ana i te waiata, i te haka, i te oriori, i te mōteatea hei waka kawe i ngā kōrero tuku iho ki ngā whakatipuranga hou. He putuputu tonu ngā tūmomo karere, ka raua atu ki roto i wēnei momo titonga waiata a te Māori. Ka whārikihia e ngā tohunga kaitito ngā karere nei mā te reo kīwaha, mā te reo whakataukī, mā te reo auaha hei kura huna. Mei māmā te kimi, ka tohunga katoa ngā Māori. Kai te aroaro o te tuhingaroa nei, ka ketuketu i tētahi o ngā oriori o Ngāti Porou, otiā, nō Te Whānau-a-Hinerupe, ko te oriori mō Tāmaunga-o-te-rangi, nā Te Māperetahi. Mā konei ake e ruku atu ai ki te raparapa i ngā kura huna e whakatauira ana i te mana Atua, mana whenua, mana tangata hei mana ahi kā. Mā tēnā hoki e whakatauira te mana ahi kā, kai a Tama, otiā, hei tauira atu ki ngā uri o Te Whānau-a-Hinerupe i tō rātau ake ahi kā roa ki Te Kawakawa mai Tawhiti. Ko ngā kōrero kua kohingia, he kōrero nō ngā tāngata e mōhio ana ki ngā tūmomo mana, ā, ki ngā kōrero e pā ana ki te oriori nei. Ka iringia wēnei rau kōrero hei whakarākei tonu i te pae tapu o Te Whānau-a-Hinerupe.

text: Takuahi: Te oriori mō Tāmaunga-o-te-rangi - Mana atua, mana whenua, mana tangata E roa nei tātau te Māori nō ngā wā o Hawaiki e tito ana i te waiata, i te haka, i te oriori, i te mōteatea hei waka kawe i ngā kōrero tuku iho ki ngā whakatipuranga hou. He putuputu tonu ngā tūmomo karere, ka raua atu ki roto i wēnei momo titonga waiata a te Māori. Ka whārikihia e ngā tohunga kaitito ngā karere nei mā te reo kīwaha, mā te reo whakataukī, mā te reo auaha hei kura huna. Mei māmā te kimi, ka tohunga katoa ngā Māori. Kai te aroaro o te tuhingaroa nei, ka ketuketu i tētahi o ngā oriori o Ngāti Porou, otiā, nō Te Whānau-a-Hinerupe, ko te oriori mō Tāmaunga-o-te-rangi, nā Te Māperetahi. Mā konei ake e ruku atu ai ki te raparapa i ngā kura huna e whakatauira ana i te mana Atua, mana whenua, mana tangata hei mana ahi kā. Mā tēnā hoki e whakatauira te mana ahi kā, kai a Tama, otiā, hei tauira atu ki ngā uri o Te Whānau-a-Hinerupe i tō rātau ake ahi kā roa ki Te Kawakawa mai Tawhiti. Ko ngā kōrero kua kohingia, he kōrero nō ngā tāngata e mōhio ana ki ngā tūmomo mana, ā, ki ngā kōrero e pā ana ki te oriori nei. Ka iringia wēnei rau kōrero hei whakarākei tonu i te pae tapu o Te Whānau-a-Hinerupe.

year: 2016