title: Supercapacitor assisted extra low frequency power converters and surge protectors: Applying Supercapacitor Assisted Loss Management Concept in practical applications

authors: Ariyarathna, Thilanga

abstract: Traditionally, supercapacitors are used as energy storage devices, replacing or hybridizing with batteries. Typical applications include UPS, power quality enhancers, automotive, electric vehicles and portable devices. However, if a super-capacitor is treated as a device with a million times higher capacitance, they can be used in different application domains, such as high-efficiency linear DC-DC converters, surge absorbers, LED lighting systems and inverters with completely new design approaches. These supercapacitor-assisted (SCA) techniques use the two essential properties of an ideal supercapacitor, (i) very long time constant and/or (ii) performances as lossless voltage droppers. This paper presents a summary of Supercapacitor Assisted Loss Management (SCALoM), as the underlying basis for high-efficiency converters and protection systems, such as the SCA low dropout (SCALDO) regulator, SCA surge absorber (SCASA) and others. An important property of SCALDO is high efficiency at a very low frequency with DC-UPS capability. SCASA is a high-performance surge absorber with less component count than traditional protectors and with higher endurance to repeated high surges, adhering to UL 1449 (3rd Edition) test procedure. The paper will also show how SCALoM concept could be generally used in converters useful in renewable energy systems.

text: Supercapacitor assisted extra low frequency power converters and surge protectors: Applying Supercapacitor Assisted Loss Management Concept in practical applications Traditionally, supercapacitors are used as energy storage devices, replacing or hybridizing with batteries. Typical applications include UPS, power quality enhancers, automotive, electric vehicles and portable devices. However, if a super-capacitor is treated as a device with a million times higher capacitance, they can be used in different application domains, such as high-efficiency linear DC-DC converters, surge absorbers, LED lighting systems and inverters with completely new design approaches. These supercapacitor-assisted (SCA) techniques use the two essential properties of an ideal supercapacitor, (i) very long time constant and/or (ii) performances as lossless voltage droppers. This paper presents a summary of Supercapacitor Assisted Loss Management (SCALoM), as the underlying basis for high-efficiency converters and protection systems, such as the SCA low dropout (SCALDO) regulator, SCA surge absorber (SCASA) and others. An important property of SCALDO is high efficiency at a very low frequency with DC-UPS capability. SCASA is a high-performance surge absorber with less component count than traditional protectors and with higher endurance to repeated high surges, adhering to UL 1449 (3rd Edition) test procedure. The paper will also show how SCALoM concept could be generally used in converters useful in renewable energy systems.

year: 2023-01-01

title: Topics in number theory

authors: Braun, Peter Brendan

abstract: The thesis is concerned mainly with topics in the theory of Riemann’s zeta function, but it also includes some contributions to prime number theory and the study of the Möbius function. New conditions are stated for the validity of the quasi-Riemann hypothesis RH (σ₀), that ζ(s) ≠ O for σ > σ₀. The orders and oscillatory behaviour of a variety of summatory functions are considered in this context. Particular study is made of the sums defined by
[formula]
And
[formula]
(k = 0, 1, 2 ...), incomplete sums of the form
[formula]
and summatory functions associated with the coefficients of the Dirichlet series representations for 
[formula]
On the same topic results are proven about connections between RH (σ₀) and the distribution of the set HN of Farey numbers of order N. Some general theorems concerning the sums
[formula]
are established which allow known results in the cases r = 2, 3 to be extended to r = 4, 5, 6. Other analytic studies include a series representation for Riemann’s function, and a theorem improving earlier results concerning the number of zeros of f(λ + i) with 0 < t < T, and fixed λ between 0 and 1, where f (s) = π⁻ˢ/² г(s/2) ζ (s).
The remaining topics are more arithmetic in nature. An attempt is made to show by elementary methods that the order of the Tchebychef difference ψ(x) - x is not greater than that of the Möbius sum M(x), and although only partially successful, the attempt improves on previously published elementary results. Some theorems are proved which relate the order of J (x), the maximum number of consecutive integers each of which is divisible by at least one prime ≤x, to the problems of the least prime in an arithmetic progression and the order of the difference between consecutive primes. Two sections contain a direct attack by elementary methods on the problem of getting estimates of A₀(T) and B₀(T) which would be equivalent to RH(σ₀) for some σ₀ < 1, and the problem is reduced, roughly speaking, to finding sufficiently large N such that the solutions x₁, x₂, ..., xᴛ of the system 
[formula]
 are predominantly of one sign.
The closing sections in the thesis deal with Möbius functions of ordered semigroups of a certain type, and lead to a conjecture that the Möbius functions in a way characterize the ordered multiplicative structure. Some evidence supporting the conjecture is given in the case of the ordinary Möbius function μ.

text: Topics in number theory The thesis is concerned mainly with topics in the theory of Riemann’s zeta function, but it also includes some contributions to prime number theory and the study of the Möbius function. New conditions are stated for the validity of the quasi-Riemann hypothesis RH (σ₀), that ζ(s) ≠ O for σ > σ₀. The orders and oscillatory behaviour of a variety of summatory functions are considered in this context. Particular study is made of the sums defined by
[formula]
And
[formula]
(k = 0, 1, 2 ...), incomplete sums of the form
[formula]
and summatory functions associated with the coefficients of the Dirichlet series representations for 
[formula]
On the same topic results are proven about connections between RH (σ₀) and the distribution of the set HN of Farey numbers of order N. Some general theorems concerning the sums
[formula]
are established which allow known results in the cases r = 2, 3 to be extended to r = 4, 5, 6. Other analytic studies include a series representation for Riemann’s function, and a theorem improving earlier results concerning the number of zeros of f(λ + i) with 0 < t < T, and fixed λ between 0 and 1, where f (s) = π⁻ˢ/² г(s/2) ζ (s).
The remaining topics are more arithmetic in nature. An attempt is made to show by elementary methods that the order of the Tchebychef difference ψ(x) - x is not greater than that of the Möbius sum M(x), and although only partially successful, the attempt improves on previously published elementary results. Some theorems are proved which relate the order of J (x), the maximum number of consecutive integers each of which is divisible by at least one prime ≤x, to the problems of the least prime in an arithmetic progression and the order of the difference between consecutive primes. Two sections contain a direct attack by elementary methods on the problem of getting estimates of A₀(T) and B₀(T) which would be equivalent to RH(σ₀) for some σ₀ < 1, and the problem is reduced, roughly speaking, to finding sufficiently large N such that the solutions x₁, x₂, ..., xᴛ of the system 
[formula]
 are predominantly of one sign.
The closing sections in the thesis deal with Möbius functions of ordered semigroups of a certain type, and lead to a conjecture that the Möbius functions in a way characterize the ordered multiplicative structure. Some evidence supporting the conjecture is given in the case of the ordinary Möbius function μ.

year: 1979

title: Ngā kīrehu o Te Arawa ki Rotorua

authors: Morrison, Scott Jeffrey Tipene

subjects: Te reo Māori

abstract: Ko te reo Māori he reo tuauriuri whāioio, ā, he reo i kōhure ake i te whenua e kīa nei ko Aotearoa. Heoi anō, ka tae mai te Pākehā ki konei noho ai, ā, ka whārikihia ko ā rātou ture hei tauira tikanga mō ngā tāngata ki Aotearoa, ā, ko tō rātou reo hei reo whakaata whakaaro hei reo hoko parāoa hoki. I roto i ngā tau maha kua pahemo i raro i ēnei whakarite hou, kua memeha noa te reo Māori. Te mutu, i roto i ngā whakaakoranga hou i mahue ngā ahureitanga ake o te reo hei kawenga i te hihiri o te hinengaro Māori. Koinei ka tahuri ake au ki te whai i tētahi o ngā āhuatanga whakahirahira o te reo e mahue ana i roto i ngā akoranga i te reo hei reo tuarua.
Ko ngā kīrehu tētahi pekanga o te reo Māori kei te kaha te ngaro i te nuinga o ngā kaikōrero o te reo Māori o ēnei rā. Ki te waiho ērā momo kōrero kia moe, e kore e whakaara ake, ā, ko tōna mutunga, kua ngaro mō ake tonu atu. Kātahi tātou te ao Māori ka tangi mō tēnei āhuatanga nui o te reo ka ngaro i a tātou, ā, ko te rere a te ua koia anō kei te wai e riringi tonu nei te utu. Heoi anō, ki te mataara tātou, ki te whakaara ake i ēnei momo kōrero, ka whai kupu te reo Māori, ā, ka hoki mai te reo tuauriuri whāioio ki a tātou o tēnei reanga. Kei roto i ngā kīrehu e pupuri ana te wairua me te hinengaro Māori o ngā tūpuna o mua, arā, ka kite i te āhua o te whakaaro i roto i a rātou.
Ka tahuri ake au ki te whai i tēnei kaupapa kia whakaara ake anō ngā kīrehu kua roa e moe ana, ā, ki te kimi whakautu mō ētahi pātai i toko ake i te wā e whakaarohia ana te kaupapa nei. Tuatahi, i whakawhāiti taku titiro ki ngā kīrehu ake o Te Arawa waka e noho ana ki te rohe o Rotorua-nui-a-Kahumatamomoe. I pērā ai te whānui o taku titiro kia kore ai au e pokea e te kaupapa nei ka tahi, kia whakaara ake anō ai ngā kīrehu tūturu o tērā rohe kua tino roa nei e ngaro ana ka rua, ā, kia whakahoki mai ai ko aua kīrehu hei mahi mā tēnei reanga kōrero Māori kia ea ai te kōrero, "Ko Te Arawa māngai nui" ka toru. Tuarua, i whakawhānui ake taku titiro ki ngā kīrehu kei te mōhiotia e te motu.
Hei whakatutuki i taku kaupapa ka tirohia, ka wānangahia te kaupapa i raro i ngā upoko e whai ake nei. Kei te upoko tuatahi he whakamārama he aha au i whai ai i taku kaupapa mō ngā kīrehu. Kei te upoko tuarua he āta whakamārama i te kīrehu me ōna tikanga katoa, me ngā rerekētanga i waenganui i te kīrehu me ana hoa me te kīwaha, te huahuatau, te kupu whakarite, me te whakataukī. Ka titiro hoki ki ngā wāhi ka rangona, ka whakamahia rānei te kīrehu. Kei te upoko tuatoru ka tirohia ngā kīrehu kua kitea. E rua ngā wāhanga o tēnei upoko. Kei te wāhanga tuatahi ko ngā kīrehu o Te Arawa ki Rotorua me ā rātou whakamārama, kei te wāhanga tuarua ko ngā kīrehu o te motu whānui kua whakaraupapahia i raro anō i ngā upoko e whakaatu ana i te tikanga o ia kīrehu, me ā rātou whakamārama. Kei te whakamutunga ko te whakarārangi me te tūhonohono ake i ngā kitenga katoa i roto i aku rangahau, i aku wherawheratanga i te kaupapa nei me ngā hua ka puta ki te whāia ngā kīrehu i roto i ngā akoranga ki te hunga kātahi anō ka tahuri mai ki te whai i te reo Māori hei reo tuarua.
Kei konei ka whai wāhi ki te whakamārama i te huarahi i whāia e tutuki ai te kaupapa o tēnei mahi rangahau. I te wā e whakaarohia ana te kaupapa nei ka puta te whakaaro ki roto i a au kia kōrero tahi me ngā koroheke nō roto o Te Arawa waka, kia pātaihia rātou ki ō rātou mōhiotanga e pā ana ki tēnei kaupapa, me ngā kīrehu e mōhio ana rātou, kei te whakamahia rānei e rātou. Ka mutu, kia kōrero hoki ki ngā tāngata wetewete reo, ki ngā tāngata matatau, ki te rangatahi, me ngā koroheke o ngā iwi i waho atu o Te Arawa. Ehara i te mea he aha, heoi anō ki a au kāore kē he huarahi i tua atu i te kōrerorero-ā-tangata hei awhi i te rangahau o tēnei kaupapa. I pēnā ai te whakaaro nā te mea, ki a au ko te kīrehu he mea ka rangona i roto i ngā kōrerorero a te tangata, ā, he mea kāore e tino tuhituhi ana. Nā reira, i āta whakaaro au ko ngā wāhi kōrerorero noa a te tangata pea, ngā wāhi pai kia rapu mai i ēnei tūmomo kōrero. Nā, i whāia tēnei huarahi e au, ā, i tino whai hua tēnei o ngā huarahi. I kitea, i rangona ētahi kōrero whakamārama me ētahi o ngā kīrehu o Te Arawa i konei. Tāpiri atu ki tēnā, i rangona ngā whakaaro me ngā kōrero a ngā momo tāngata katoa, rangatahi mai, koroheke mai.
I tua atu i te kōrero tahi, arā anō ngā huarahi i whāia. I pūhia au e ngā hau kōhengihengi a Tāwhirimātea kia tae atu ki ngā tōpito katoa o Te Ika Roa a Māui; ki ngā whare pukapuka i Tāmaki, i Te Whanganui a Tara, i Kirikiriroa, i Pāmutana, i Rotorua. Hei aha? Hei āta rangahau i ngā kōrero e pā ana ki tēnei kaupapa. I reira i kitea ngā rīpoata tawhito me ngā rīpoata hou, ngā kohinga kōrero o namata, o nāianei hoki, me ngā reta i tuhia e ngā rangatira i tērā rautau, me ngā rārangi pukapuka e pupuri ana ngā kōrero o mua. I haere au ki Te Kōti Whenua Māori i Rotorua ki te pānui ngā kōrero e whakaatu ana i te noho a te Māori i ngā rā o nehe, me ngā kōrero i whakatakotohia e rātou ki mua i te aroaro o te kōti. I roto i ēnei tuhinga e mau ana ētahi kīrehu i whakahua ake i te wā i hui ai ngā tūpuna mō te whenua te kaupapa. Kei aua wāhi nui anō, arā, kei Tāmaki me Te Whanga Nui a Tara, e puritia ana ētahi tēpa kei runga nei ngā kōrero a ngā rangatira kua whetūrangitia. I tonoa kia whakarongo pīkari aku taringa ki ēnei tēpa, ā, i puta mai ētahi kīrehu i aua tēpa rā.
Nā ēnei momo huarahi i taea ai te whakaemi me te whakakao i ngā whakaaro me ngā kōrero katoa o tēnei tuhinga, ā, te putanga atu, kua whakarārangihia ngā kōrero, ngā whakaaro me ngā kīrehu i kitea mai, i rangona mai, i puta mai. 
Heoi anō, kāore te wai i marino i ngā wā katoa. I ētahi wā ka tae mai he raruraru, he uauatanga hei whakapakeke i te ara, he ngārara rānei hei whakapae i te huarahi. Ka pōuri te manawa nā te mea kāore au i whai wāhi ki te kōrero ki a Irirangi Tiakiawa rāua ko Tāmati Wharehuia i mua i tō rāua wehenga. I te whakatikatika au i a au anō ki te kōrero ki a Irirangi kātahi ia ka mate. Ka whakatika anō au ki te kōrero ki a Tāmati, ā, ka mate hoki tērā. Kāore e kore he kōrero, he mōhiotanga ā rāua hei whakamōmona i te tuhinga nei, engari e taea te pēhea? Ko tēnei mea te mate e kore e taea te karo, engari, i runga i tēnā āhua, kei te tangi tonu te mapu, kei te pōuri tonu te manawa.
I tua atu i tēnā, ka raruraru au i te korenga ōku e tino kite ngā kīrehu i roto i ngā tuhinga a te tangata. E tika ana te whakaaro, kāore ngā kīrehu e tino tuhituhi ana. I kitea ētahi i roto i ngā tuhinga, engari me uaua ka kitea mai ērā. E hia kē ngā hāora i whakapaua e au kia rapua mai ngā kīrehu e huna ana i roto i ngā pukapuka, i ngā reta, otirā i ngā momo tuhinga katoa a te tangata.
Ahakoa ēnei, he nui ngā painga i puta mai ki a au i roto i tēnei mahi rangahau. Ka mīharo katoa te kōrero tahi me ngā koroheke, i reira i āta rangona te reo o ngā mata o te ao kōhatu, me kī, te reo tuauriuri whāioio. I puta mai i a rātou ngā whakaaro tūturu o te hinengaro Māori tūturu hei awhi i te hanga o tēnei mahi rangahau. I pai anō rā taku haere ki te Whare Pukapuka o Turnbull i reira e pupuri ana ngā kōrero me ngā whakaahua a tua whakarere. I ētahi wā, nā te nui o ngā momo tuhinga Māori ātaahua i roto i taua whare pukapuka, ka titi taku haere ki kaupapa kē. Ahakoa i reira au mō te wiki kotahi, kāore rawa i oti i a au ngā tuhinga i hiahia au ki te pānui. Ko tētahi atu mea pai i puta mai ki a au i roto i tēnei mahi rangahau, ko te akoako i ētahi kīrehu, i ētahi kīwaha me ētahi whakataukī hou hei whakamahi māku i ngā wā e kōrero Māori ana au, me te whēkite o ētahi tuhinga Māori kāore anō au kia kite noa.
Heoi anō hei whakakapi i tēnei wāhanga, i hangaia mai tēnei pūtoi kīrehu hei whakaara ake i ngā kīrehu o Te Arawa ki Rotorua ka tahi, hei hua mā te hunga e ako ana i te reo Māori hei reo tuarua kia whai kupu tō rātou reo ka rua, hei whakahoki i ngā pātai i toko ake ai i te wā e whakaaroarohia ana tēnei kaupapa ka toru. Ināianei ka riro mā ngā kōrero, mā ngā tuhinga me ngā whakaaro kei te whai mai e whakatinana te kaupapa o tēnei mahi rangahau.

text: Ngā kīrehu o Te Arawa ki Rotorua Ko te reo Māori he reo tuauriuri whāioio, ā, he reo i kōhure ake i te whenua e kīa nei ko Aotearoa. Heoi anō, ka tae mai te Pākehā ki konei noho ai, ā, ka whārikihia ko ā rātou ture hei tauira tikanga mō ngā tāngata ki Aotearoa, ā, ko tō rātou reo hei reo whakaata whakaaro hei reo hoko parāoa hoki. I roto i ngā tau maha kua pahemo i raro i ēnei whakarite hou, kua memeha noa te reo Māori. Te mutu, i roto i ngā whakaakoranga hou i mahue ngā ahureitanga ake o te reo hei kawenga i te hihiri o te hinengaro Māori. Koinei ka tahuri ake au ki te whai i tētahi o ngā āhuatanga whakahirahira o te reo e mahue ana i roto i ngā akoranga i te reo hei reo tuarua.
Ko ngā kīrehu tētahi pekanga o te reo Māori kei te kaha te ngaro i te nuinga o ngā kaikōrero o te reo Māori o ēnei rā. Ki te waiho ērā momo kōrero kia moe, e kore e whakaara ake, ā, ko tōna mutunga, kua ngaro mō ake tonu atu. Kātahi tātou te ao Māori ka tangi mō tēnei āhuatanga nui o te reo ka ngaro i a tātou, ā, ko te rere a te ua koia anō kei te wai e riringi tonu nei te utu. Heoi anō, ki te mataara tātou, ki te whakaara ake i ēnei momo kōrero, ka whai kupu te reo Māori, ā, ka hoki mai te reo tuauriuri whāioio ki a tātou o tēnei reanga. Kei roto i ngā kīrehu e pupuri ana te wairua me te hinengaro Māori o ngā tūpuna o mua, arā, ka kite i te āhua o te whakaaro i roto i a rātou.
Ka tahuri ake au ki te whai i tēnei kaupapa kia whakaara ake anō ngā kīrehu kua roa e moe ana, ā, ki te kimi whakautu mō ētahi pātai i toko ake i te wā e whakaarohia ana te kaupapa nei. Tuatahi, i whakawhāiti taku titiro ki ngā kīrehu ake o Te Arawa waka e noho ana ki te rohe o Rotorua-nui-a-Kahumatamomoe. I pērā ai te whānui o taku titiro kia kore ai au e pokea e te kaupapa nei ka tahi, kia whakaara ake anō ai ngā kīrehu tūturu o tērā rohe kua tino roa nei e ngaro ana ka rua, ā, kia whakahoki mai ai ko aua kīrehu hei mahi mā tēnei reanga kōrero Māori kia ea ai te kōrero, "Ko Te Arawa māngai nui" ka toru. Tuarua, i whakawhānui ake taku titiro ki ngā kīrehu kei te mōhiotia e te motu.
Hei whakatutuki i taku kaupapa ka tirohia, ka wānangahia te kaupapa i raro i ngā upoko e whai ake nei. Kei te upoko tuatahi he whakamārama he aha au i whai ai i taku kaupapa mō ngā kīrehu. Kei te upoko tuarua he āta whakamārama i te kīrehu me ōna tikanga katoa, me ngā rerekētanga i waenganui i te kīrehu me ana hoa me te kīwaha, te huahuatau, te kupu whakarite, me te whakataukī. Ka titiro hoki ki ngā wāhi ka rangona, ka whakamahia rānei te kīrehu. Kei te upoko tuatoru ka tirohia ngā kīrehu kua kitea. E rua ngā wāhanga o tēnei upoko. Kei te wāhanga tuatahi ko ngā kīrehu o Te Arawa ki Rotorua me ā rātou whakamārama, kei te wāhanga tuarua ko ngā kīrehu o te motu whānui kua whakaraupapahia i raro anō i ngā upoko e whakaatu ana i te tikanga o ia kīrehu, me ā rātou whakamārama. Kei te whakamutunga ko te whakarārangi me te tūhonohono ake i ngā kitenga katoa i roto i aku rangahau, i aku wherawheratanga i te kaupapa nei me ngā hua ka puta ki te whāia ngā kīrehu i roto i ngā akoranga ki te hunga kātahi anō ka tahuri mai ki te whai i te reo Māori hei reo tuarua.
Kei konei ka whai wāhi ki te whakamārama i te huarahi i whāia e tutuki ai te kaupapa o tēnei mahi rangahau. I te wā e whakaarohia ana te kaupapa nei ka puta te whakaaro ki roto i a au kia kōrero tahi me ngā koroheke nō roto o Te Arawa waka, kia pātaihia rātou ki ō rātou mōhiotanga e pā ana ki tēnei kaupapa, me ngā kīrehu e mōhio ana rātou, kei te whakamahia rānei e rātou. Ka mutu, kia kōrero hoki ki ngā tāngata wetewete reo, ki ngā tāngata matatau, ki te rangatahi, me ngā koroheke o ngā iwi i waho atu o Te Arawa. Ehara i te mea he aha, heoi anō ki a au kāore kē he huarahi i tua atu i te kōrerorero-ā-tangata hei awhi i te rangahau o tēnei kaupapa. I pēnā ai te whakaaro nā te mea, ki a au ko te kīrehu he mea ka rangona i roto i ngā kōrerorero a te tangata, ā, he mea kāore e tino tuhituhi ana. Nā reira, i āta whakaaro au ko ngā wāhi kōrerorero noa a te tangata pea, ngā wāhi pai kia rapu mai i ēnei tūmomo kōrero. Nā, i whāia tēnei huarahi e au, ā, i tino whai hua tēnei o ngā huarahi. I kitea, i rangona ētahi kōrero whakamārama me ētahi o ngā kīrehu o Te Arawa i konei. Tāpiri atu ki tēnā, i rangona ngā whakaaro me ngā kōrero a ngā momo tāngata katoa, rangatahi mai, koroheke mai.
I tua atu i te kōrero tahi, arā anō ngā huarahi i whāia. I pūhia au e ngā hau kōhengihengi a Tāwhirimātea kia tae atu ki ngā tōpito katoa o Te Ika Roa a Māui; ki ngā whare pukapuka i Tāmaki, i Te Whanganui a Tara, i Kirikiriroa, i Pāmutana, i Rotorua. Hei aha? Hei āta rangahau i ngā kōrero e pā ana ki tēnei kaupapa. I reira i kitea ngā rīpoata tawhito me ngā rīpoata hou, ngā kohinga kōrero o namata, o nāianei hoki, me ngā reta i tuhia e ngā rangatira i tērā rautau, me ngā rārangi pukapuka e pupuri ana ngā kōrero o mua. I haere au ki Te Kōti Whenua Māori i Rotorua ki te pānui ngā kōrero e whakaatu ana i te noho a te Māori i ngā rā o nehe, me ngā kōrero i whakatakotohia e rātou ki mua i te aroaro o te kōti. I roto i ēnei tuhinga e mau ana ētahi kīrehu i whakahua ake i te wā i hui ai ngā tūpuna mō te whenua te kaupapa. Kei aua wāhi nui anō, arā, kei Tāmaki me Te Whanga Nui a Tara, e puritia ana ētahi tēpa kei runga nei ngā kōrero a ngā rangatira kua whetūrangitia. I tonoa kia whakarongo pīkari aku taringa ki ēnei tēpa, ā, i puta mai ētahi kīrehu i aua tēpa rā.
Nā ēnei momo huarahi i taea ai te whakaemi me te whakakao i ngā whakaaro me ngā kōrero katoa o tēnei tuhinga, ā, te putanga atu, kua whakarārangihia ngā kōrero, ngā whakaaro me ngā kīrehu i kitea mai, i rangona mai, i puta mai. 
Heoi anō, kāore te wai i marino i ngā wā katoa. I ētahi wā ka tae mai he raruraru, he uauatanga hei whakapakeke i te ara, he ngārara rānei hei whakapae i te huarahi. Ka pōuri te manawa nā te mea kāore au i whai wāhi ki te kōrero ki a Irirangi Tiakiawa rāua ko Tāmati Wharehuia i mua i tō rāua wehenga. I te whakatikatika au i a au anō ki te kōrero ki a Irirangi kātahi ia ka mate. Ka whakatika anō au ki te kōrero ki a Tāmati, ā, ka mate hoki tērā. Kāore e kore he kōrero, he mōhiotanga ā rāua hei whakamōmona i te tuhinga nei, engari e taea te pēhea? Ko tēnei mea te mate e kore e taea te karo, engari, i runga i tēnā āhua, kei te tangi tonu te mapu, kei te pōuri tonu te manawa.
I tua atu i tēnā, ka raruraru au i te korenga ōku e tino kite ngā kīrehu i roto i ngā tuhinga a te tangata. E tika ana te whakaaro, kāore ngā kīrehu e tino tuhituhi ana. I kitea ētahi i roto i ngā tuhinga, engari me uaua ka kitea mai ērā. E hia kē ngā hāora i whakapaua e au kia rapua mai ngā kīrehu e huna ana i roto i ngā pukapuka, i ngā reta, otirā i ngā momo tuhinga katoa a te tangata.
Ahakoa ēnei, he nui ngā painga i puta mai ki a au i roto i tēnei mahi rangahau. Ka mīharo katoa te kōrero tahi me ngā koroheke, i reira i āta rangona te reo o ngā mata o te ao kōhatu, me kī, te reo tuauriuri whāioio. I puta mai i a rātou ngā whakaaro tūturu o te hinengaro Māori tūturu hei awhi i te hanga o tēnei mahi rangahau. I pai anō rā taku haere ki te Whare Pukapuka o Turnbull i reira e pupuri ana ngā kōrero me ngā whakaahua a tua whakarere. I ētahi wā, nā te nui o ngā momo tuhinga Māori ātaahua i roto i taua whare pukapuka, ka titi taku haere ki kaupapa kē. Ahakoa i reira au mō te wiki kotahi, kāore rawa i oti i a au ngā tuhinga i hiahia au ki te pānui. Ko tētahi atu mea pai i puta mai ki a au i roto i tēnei mahi rangahau, ko te akoako i ētahi kīrehu, i ētahi kīwaha me ētahi whakataukī hou hei whakamahi māku i ngā wā e kōrero Māori ana au, me te whēkite o ētahi tuhinga Māori kāore anō au kia kite noa.
Heoi anō hei whakakapi i tēnei wāhanga, i hangaia mai tēnei pūtoi kīrehu hei whakaara ake i ngā kīrehu o Te Arawa ki Rotorua ka tahi, hei hua mā te hunga e ako ana i te reo Māori hei reo tuarua kia whai kupu tō rātou reo ka rua, hei whakahoki i ngā pātai i toko ake ai i te wā e whakaaroarohia ana tēnei kaupapa ka toru. Ināianei ka riro mā ngā kōrero, mā ngā tuhinga me ngā whakaaro kei te whai mai e whakatinana te kaupapa o tēnei mahi rangahau.

year: 1999