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{{Infobox scientist
| name              = Carlo Severini
| image            = <!--(filename only)-->
| image_size        =
| alt              =
| caption          =
| birth_date        = 10 March 1872
| birth_place      = [[Arcevia]] ([[Ancona]])
| death_date        = {{death date and age|1951|5|11|1872|4|10|df=yes}}
| death_place      = [[Pesaro]]
| residence        =
| citizenship      =
| nationality      = [[Italy|Italian]]
| fields            = [[Real analysis]]
| workplaces        = [[Università di Bologna]]<br>[[University of Catania]]<br>[[University of Genova]]
| alma_mater        = [[Università di Bologna]]
| doctoral_advisor  = [[Salvatore Pincherle]]
| academic_advisors =
| doctoral_students =
| notable_students  =
| known_for        = [[Severini-Egorov theorem]]
| author_abbrev_bot =
| author_abbrev_zoo =
| influences        =
| influenced        =
| awards            =
| signature        = <!--(filename only)-->
| signature_alt    =
| footnotes        =
}}
 
'''Carlo Severini''' (10 March 1872 – 11 May 1951) was an [[Italians|Italian]] [[mathematician]]: he was born in [[Arcevia]] ([[Province of Ancona]]) and died in [[Pesaro]]. Severini, independently from [[Dmitri Egorov|Dmitri Fyodorovich Egorov]], proved and published earlier a proof of the theorem now known as [[Egorov's theorem]].
 
==Biography==
He graduated in [[Mathematics]] from the [[University of Bologna]] on November 30, 1897:<ref>According to the summary of his student file available from the {{Harvtxt|Archivio Storico dell'Università di Bologna|2004}} (an electronic version of the [[archive]]s of the [[University of Bologna]]).</ref><ref>The content of this section is based on references {{Harv|Tricomi|1962}} and {{Harv|Straneo|1952}}: this last one also refers that he was married and had several children, however without giving any other detail.</ref> the title of his "[[Laurea]]" [[thesis]] was "''Sulla rappresentazione analitica delle funzioni arbitrarie di variabili reali''".<ref>An [[English language|English]] translation reads as "On the Analytic Representation of Arbitrary Functions of Real variables"; despite the similarities in the title and the same year of publication, the biographical sources do not say if the paper {{Harv|Severini|1897}} is somewhat related to his thesis.</ref> After obtaining his [[academic degree|degree]], he worked in [[Bologna]] as an assistant to the chair of [[Salvatore Pincherle]] until 1900.<ref>The [[#{{harvid|Università di Bologna|1898|p=170}}|1897–1898 yearbook of the university]] already lists him between the [[assistant professor]]s.</ref> From 1900 to 1906, he was a senior high school teacher, first teaching in the [[Institute of Technology]] of [[La Spezia]] and then in the [[lyceum]]s of [[Foggia]] and of [[Turin]];<ref name="Str1" >According to {{Harvtxt|Straneo|1952|p=98}}.</ref> then, in 1906 he became full professor of [[Infinitesimal Calculus]] at the [[University of Catania]]. He worked in [[Catania]] until 1918, then he went to the [[University of Genova]], where he stayed until his retirement in 1942.<ref name="Str1"/>
 
==Work==
He authored more than 60 papers, mainly in the areas of [[real analysis]], [[approximation theory]] and [[partial differential equation]]s, according to {{Harvtxt|Tricomi|1962}}. His main contributions belong to the following fields of [[mathematics]]:<ref>Only his most known results are described in the following sections: {{Harvtxt|Straneo|1952}} reviews his research in greater detail.</ref>
 
===Approximation theory===
In this field, Severini proved a generalized version of the [[Weierstrass approximation theorem]]. Precisely, he extended the original result of [[Karl Weierstrass]] to the class of [[Bounded function|bounded]] [[locally integrable function]]s, which is a class including particular [[discontinuous function]]s as members.<ref>According to {{Harvtxt|Straneo|1952}}, the result is given in various papers, source {{Harv|Severini|1897}} perhaps being the most accessible of them.</ref>
 
===Measure theory and integration===
Severini proved [[Egorov's theorem]] one year earlier than [[Dmitri Egorov]]<ref>Egorov's proof is given in the paper {{Harv|Egorov|1911}}.</ref> in the paper {{Harv|Severini|1910}}, whose main theme is however [[Sequence (mathematics)|sequences]] of [[orthogonal functions]] and their properties.<ref>Also, according to {{Harvtxt|Straneo|1952|p=101}}, Severini, while acknowledging his own priority in the publication of the result, was unwilling to disclose it publicly: it was [[Leonida Tonelli]] who, in the note {{Harv|Tonelli|1924}}, credited him the priority for the first time.</ref>
 
===Partial differential equations===
Severini proved an [[existence theorem]] for the [[Cauchy problem]] for the [[Non-linear partial differential equation|non linear]] [[hyperbolic partial differential equation]] of first order
 
:<math>\left\{
\begin{array}{lc}
\frac{\partial u}{\partial x}=f\left(x,y,u,\frac{\partial u}{\partial y}\right) & (x,y)\in\mathbb{R}^+\times[a,b]\\
u(0,y)=U(y) & y\in[a,b]\Subset\mathbb{R}
\end{array}\right.,
</math>
 
assuming that the Cauchy data <math>U</math> (defined in the [[bounded interval]] <math>[a,b]</math>) and that the [[Function (mathematics)|function]] <math>f</math> has [[Lipschitz continuity|Lipschitz continuous]] first order [[partial derivative]]s,<ref>This means that f belongs to the [[Differentiability class|class]] <math>C^{(1,1)}</math>.</ref> jointly with the obvious requirement that the [[Set (mathematics)|set]] <math>\scriptstyle \{(x,y,z,p)=(0,y,U(y),U^\prime(y));y\in[a,b]\}</math> is contained in the [[Domain (mathematics)|domain]] of <math>f</math>.<ref>For more details about his researches in this field, see {{Harv|Cinquini-Cibrario|Cinquini|1964}} and the references cited therein</ref>
 
===Real analysis and unfinished works===
According to {{Harvtxt|Straneo|1952|p=99}}, he worked also on the foundations of the theory of [[real function]]s.<ref>{{Harvtxt|Straneo|1952|p=99}} lists Severini's researches on this field under as "''Fondamenti dell'analisi infinitesimale (Foundations of infinitesimal analysis)''": however, the topics covered range from the theory of integration to [[absolutely continuous function]]s and to operations on series of real functions.</ref> Severini also left an unpublished and unfinished [[treatise]] on the theory of [[real function]]s, whose title was planned to be "''Fondamenti dell'analisi nel campo reale e i suoi sviluppi"''.<ref>"''Foundations of Analysis on the Real Field and its Developments''": again according to {{Harvtxt|Straneo|1952|p=101}}, the treatise would have included his later original results and covered all the fundamental topics required for the study of [[functional analysis]] on the [[real number|real field]].</ref>
 
==Selected publications==
*{{Citation
| first = Carlo
| last = Severini
| author-link =
| title = Sulla rappresentazione analitica delle funzioni reali discontinue di variabile reale
| language = Italian
| journal = Atti della Reale Accademia delle Scienze di Torino.
| volume = 33
| origyear = 1897-1898
| year = 1897
| url = http://www.archive.org/stream/attidellaraccad04unkngoog#page/n1120/mode/1up
| pages = 1002–1023
| id =
| jfm = 29.0354.02
}}. In this paper (whose title reads as "''On the analytic representation of discontinuous real functions of a real variable''" in the English translation) he proves an extension of Weierstrass approximation theorem to a class of functions including among its members particular discontinuous ones.
*{{Citation
| last = Severini
| first = C.
| author-link =
| title = Sulle successioni di funzioni ortogonali
| language = Italian
| journal = Atti dell'[http://www3.unict.it/gioenia/ Accademia Gioenia]
| series = serie 5<sup>a</sup>,
| volume = 3
| issue = 5
| pages = Memoria XIII, 1–7
| year = 1910
| id =
| jfm = 41.0475.04
}}. "''On sequences of orthogonal functions''" contains his most known result, i.e. the Severini–Egorov theorem.
 
==See also==
*[[Hyperbolic partial differential equation]]
*[[Orthogonal functions]]
*[[Severini-Egorov theorem]]
*[[Weierstrass approximation theorem]]
 
==Notes==
{{Reflist|30em}}
 
==Biographical references==
*{{Citation
  | author = Archivio Storico dell'Università di Bologna
  | author-link = Università di Bologna
  | title = Carlo Severini
  | journal = [http://www.archiviostorico.unibo.it/Template/listStudenti.asp?IDFolder=143&LN=EN Fascicoli degli studenti]
  | series = Fascicolo della Facoltà di Scienze Fisiche Matematiche Naturali n°
  | volume = 2843
  | origyear = 1897
  | year = 2004
  | language = Italian
  | url = http://www.archiviostorico.unibo.it/template/listStudenti.asp?Testo=Carlo&IDNazione=&TestoCognome=Severini&IDProvincia=&Numero=&LuogoDiNascita=&Note=&IDFacolta=&Tipologia=&DI=&DF=&TitoloTesi=&AnnoAccademico=&filtra=Avvia+ricerca&IDFolder=143&LN=IT&Or=&start=true
  | accessdate = March 1, 2011
}}. A very short summary of the student file of Carlo Severini, giving however useful information about his [[laurea]].
*{{Citation
  | last = Straneo
  | first = Paolo
  | author-link =
  | title = Carlo Severini
  | language = Italian
  | journal = [[Bollettino della Unione Matematica Italiana]]
  | series = Serie 3,
  | volume = 7
  | issue = 3
  | pages = 98–101
  | year = 1952
  | url = http://www.bdim.eu/item?id=BUMI_1952_3_7_1_87_0
  | id =
  | mr = 50531
}}, available from the [http://www.bdim.eu/ Biblioteca Digitale Italiana di Matematica].
*{{Citation
  | last = Tonelli
  | first = Leonida
  | author-link = Leonida Tonelli
  | title = Su una proposizione fondamentale dell'analisi
  | language = Italian
  | journal = [[Bollettino della Unione Matematica Italiana]]
  | series = Serie 2,
  | volume = 3
  | issue =
  | pages = 103–104
  | year = 1924
  | url =
  | id =
  | zbl = 50.0192.01
}}. In this paper, Tonelli credits Severini for the first proof of Severini–Egorov theorem. An English translation of the title reads as:–"''On a fundamental proposition of analysis''".
*{{Citation
  | first = F. G.
  | last = Tricomi
  | author-link = Francesco Tricomi
  | contribution = Carlo Severini
  | contribution-url = http://www.dm.unito.it/sism/m_italiani/biografie/tricomi/severini.html
  | title = Matematici italiani del primo secolo dello stato unitario
  | language = Italian
  | journal = Memorie dell'Accademia delle Scienze di Torino. Classe di Scienze fisiche matematiche e naturali
  | series = series IV
  | volume = I
  | year = 1962
  | pages = 120
  | place = Torino
  | id =
  | zbl = 0132.24405
}}. "''Italian mathematicians of the first century of the unitary state''" is an important historical memoir giving brief biographies of the Italian mathematicians who worked and lived between 1861 and 1961. Its content is available from the website of the [http://www.dm.unito.it/sism/ Società Italiana di Storia delle Matematiche].
*{{Citation
| author = Università di Bologna
| author-link = Università di Bologna
| contribution = Facoltà di Scienze Fisiche, Matematiche e Naturali. Assistenti
| contribution-url = http://amshistorica.unibo.it/archivio/000193/000039/000172.jpg
| title = Annuario della Regia Università di Bologna
| place = Bologna
| publisher = Premiato Stabilimento Tipografico Succ. Monti
| year = 1898
| page = 170
| pages =
| language = Italian
| url = http://amshistorica.unibo.it/193
| doi =
| id =
}}.
 
==References==
*{{Citation
| last = Cinquini-Cibrario
| first = M.
| author-link = Maria Cinquini-Cibrario
| last2 = Cinquini
| first2 = S.
| author2-link= Silvio Cinquini
| title = Equazioni a derivate parziali di tipo iperbolico
| language = Italian
| place = Roma
| publisher = Edizioni Cremonese
| year = 1964
| series = Monografie matematiche del Consiglio Nazionale delle Ricerche
| volume = 12
| pages =  VIII+552
| id =
| mr = 0203199
| zbl = 0145.35404
}}. "''Partial differential equations of hyperbolic type''" is a monograph surveying the theory of [[hyperbolic equation]]s up to its [[state of the art]] in the early 1960s, published by the [[Consiglio Nazionale delle Ricerche]].
*{{Citation
| last = Egoroff
| first = D. Th.
| authorlink = Dmitri Egorov
| title = Sur les suites des fonctions mesurables
| journal = [[Comptes rendus de l'Académie_des_sciences#1835-1965|Comptes rendus hebdomadaires des séances de l'Académie des sciences]]
| language = French
| volume = 152
| pages = 244–246
| year = 1911
| url = http://gallica.bnf.fr/ark:/12148/bpt6k3105c.image.f244
| id =
| jfm = 42.0423.01
}}, available at [[Gallica]].
 
==External links==
*{{Citation
  | last = Guerraggio
  | first = Angelo
  | author-link =
  | last2 = Nastasi
  | first2 = Pietro
  | author2-link =
  | last3 = Tricomi
  | first3 = Francesco
  | author3-link = Francesco Tricomi
  | title = Carlo Severini (1872 – 1951)
  | language =  [[Italian language|Italian]]
  | date =
  | year = 2008-2010
  | url = http://mathematica.sns.it/autori/1239/
  | accessdate = March 2, 2011
}}. Available from the [http://mathematica.sns.it/ Edizione Nazionale Mathematica Italiana].
 
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| NAME              =Severini, Carlo
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Italian mathematician
| DATE OF BIRTH    =10 March 1872
| PLACE OF BIRTH    =[[Arcevia]] ([[Ancona]])
| DATE OF DEATH    =11 May 1951
| PLACE OF DEATH    =[[Pesaro]]
}}
{{DEFAULTSORT:Severini, Carlo}}
[[Category:1872 births]]
[[Category:1951 deaths]]
[[Category:People from Arcevia]]
[[Category:19th-century Italian mathematicians]]
[[Category:20th-century Italian mathematicians]]
[[Category:Mathematical analysts]]

Revision as of 09:36, 3 October 2013

Template:Infobox scientist

Carlo Severini (10 March 1872 – 11 May 1951) was an Italian mathematician: he was born in Arcevia (Province of Ancona) and died in Pesaro. Severini, independently from Dmitri Fyodorovich Egorov, proved and published earlier a proof of the theorem now known as Egorov's theorem.

Biography

He graduated in Mathematics from the University of Bologna on November 30, 1897:[1][2] the title of his "Laurea" thesis was "Sulla rappresentazione analitica delle funzioni arbitrarie di variabili reali".[3] After obtaining his degree, he worked in Bologna as an assistant to the chair of Salvatore Pincherle until 1900.[4] From 1900 to 1906, he was a senior high school teacher, first teaching in the Institute of Technology of La Spezia and then in the lyceums of Foggia and of Turin;[5] then, in 1906 he became full professor of Infinitesimal Calculus at the University of Catania. He worked in Catania until 1918, then he went to the University of Genova, where he stayed until his retirement in 1942.[5]

Work

He authored more than 60 papers, mainly in the areas of real analysis, approximation theory and partial differential equations, according to Template:Harvtxt. His main contributions belong to the following fields of mathematics:[6]

Approximation theory

In this field, Severini proved a generalized version of the Weierstrass approximation theorem. Precisely, he extended the original result of Karl Weierstrass to the class of bounded locally integrable functions, which is a class including particular discontinuous functions as members.[7]

Measure theory and integration

Severini proved Egorov's theorem one year earlier than Dmitri Egorov[8] in the paper Template:Harv, whose main theme is however sequences of orthogonal functions and their properties.[9]

Partial differential equations

Severini proved an existence theorem for the Cauchy problem for the non linear hyperbolic partial differential equation of first order

{ux=f(x,y,u,uy)(x,y)+×[a,b]u(0,y)=U(y)y[a,b],

assuming that the Cauchy data U (defined in the bounded interval [a,b]) and that the function f has Lipschitz continuous first order partial derivatives,[10] jointly with the obvious requirement that the set {(x,y,z,p)=(0,y,U(y),U(y));y[a,b]} is contained in the domain of f.[11]

Real analysis and unfinished works

According to Template:Harvtxt, he worked also on the foundations of the theory of real functions.[12] Severini also left an unpublished and unfinished treatise on the theory of real functions, whose title was planned to be "Fondamenti dell'analisi nel campo reale e i suoi sviluppi".[13]

Selected publications

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    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

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    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

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    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. "On sequences of orthogonal functions" contains his most known result, i.e. the Severini–Egorov theorem.

See also

Notes

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Biographical references

  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. A very short summary of the student file of Carlo Severini, giving however useful information about his laurea.
  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010, available from the Biblioteca Digitale Italiana di Matematica.
  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. In this paper, Tonelli credits Severini for the first proof of Severini–Egorov theorem. An English translation of the title reads as:–"On a fundamental proposition of analysis".
  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. "Italian mathematicians of the first century of the unitary state" is an important historical memoir giving brief biographies of the Italian mathematicians who worked and lived between 1861 and 1961. Its content is available from the website of the Società Italiana di Storia delle Matematiche.
  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010.

References

  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. "Partial differential equations of hyperbolic type" is a monograph surveying the theory of hyperbolic equations up to its state of the art in the early 1960s, published by the Consiglio Nazionale delle Ricerche.
  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010, available at Gallica.

External links

  • Many property agents need to declare for the PIC grant in Singapore. However, not all of them know find out how to do the correct process for getting this PIC scheme from the IRAS. There are a number of steps that you need to do before your software can be approved.

    Naturally, you will have to pay a safety deposit and that is usually one month rent for annually of the settlement. That is the place your good religion deposit will likely be taken into account and will kind part or all of your security deposit. Anticipate to have a proportionate amount deducted out of your deposit if something is discovered to be damaged if you move out. It's best to you'll want to test the inventory drawn up by the owner, which can detail all objects in the property and their condition. If you happen to fail to notice any harm not already mentioned within the inventory before transferring in, you danger having to pay for it yourself.

    In case you are in search of an actual estate or Singapore property agent on-line, you simply should belief your intuition. It's because you do not know which agent is nice and which agent will not be. Carry out research on several brokers by looking out the internet. As soon as if you end up positive that a selected agent is dependable and reliable, you can choose to utilize his partnerise in finding you a home in Singapore. Most of the time, a property agent is taken into account to be good if he or she locations the contact data on his website. This may mean that the agent does not mind you calling them and asking them any questions relating to new properties in singapore in Singapore. After chatting with them you too can see them in their office after taking an appointment.

    Have handed an trade examination i.e Widespread Examination for House Brokers (CEHA) or Actual Property Agency (REA) examination, or equal; Exclusive brokers are extra keen to share listing information thus making certain the widest doable coverage inside the real estate community via Multiple Listings and Networking. Accepting a severe provide is simpler since your agent is totally conscious of all advertising activity related with your property. This reduces your having to check with a number of agents for some other offers. Price control is easily achieved. Paint work in good restore-discuss with your Property Marketing consultant if main works are still to be done. Softening in residential property prices proceed, led by 2.8 per cent decline within the index for Remainder of Central Region

    Once you place down the one per cent choice price to carry down a non-public property, it's important to accept its situation as it is whenever you move in – faulty air-con, choked rest room and all. Get round this by asking your agent to incorporate a ultimate inspection clause within the possibility-to-buy letter. HDB flat patrons routinely take pleasure in this security net. "There's a ultimate inspection of the property two days before the completion of all HDB transactions. If the air-con is defective, you can request the seller to repair it," says Kelvin.

    15.6.1 As the agent is an intermediary, generally, as soon as the principal and third party are introduced right into a contractual relationship, the agent drops out of the image, subject to any problems with remuneration or indemnification that he could have against the principal, and extra exceptionally, against the third occasion. Generally, agents are entitled to be indemnified for all liabilities reasonably incurred within the execution of the brokers´ authority.

    To achieve the very best outcomes, you must be always updated on market situations, including past transaction information and reliable projections. You could review and examine comparable homes that are currently available in the market, especially these which have been sold or not bought up to now six months. You'll be able to see a pattern of such report by clicking here It's essential to defend yourself in opposition to unscrupulous patrons. They are often very skilled in using highly unethical and manipulative techniques to try and lure you into a lure. That you must also protect your self, your loved ones, and personal belongings as you'll be serving many strangers in your home. Sign a listing itemizing of all of the objects provided by the proprietor, together with their situation. HSR Prime Recruiter 2010. Available from the Edizione Nazionale Mathematica Italiana.

Template:Persondata

  1. According to the summary of his student file available from the Template:Harvtxt (an electronic version of the archives of the University of Bologna).
  2. The content of this section is based on references Template:Harv and Template:Harv: this last one also refers that he was married and had several children, however without giving any other detail.
  3. An English translation reads as "On the Analytic Representation of Arbitrary Functions of Real variables"; despite the similarities in the title and the same year of publication, the biographical sources do not say if the paper Template:Harv is somewhat related to his thesis.
  4. The [[#Template:Harvid|1897–1898 yearbook of the university]] already lists him between the assistant professors.
  5. 5.0 5.1 According to Template:Harvtxt.
  6. Only his most known results are described in the following sections: Template:Harvtxt reviews his research in greater detail.
  7. According to Template:Harvtxt, the result is given in various papers, source Template:Harv perhaps being the most accessible of them.
  8. Egorov's proof is given in the paper Template:Harv.
  9. Also, according to Template:Harvtxt, Severini, while acknowledging his own priority in the publication of the result, was unwilling to disclose it publicly: it was Leonida Tonelli who, in the note Template:Harv, credited him the priority for the first time.
  10. This means that f belongs to the class C(1,1).
  11. For more details about his researches in this field, see Template:Harv and the references cited therein
  12. Template:Harvtxt lists Severini's researches on this field under as "Fondamenti dell'analisi infinitesimale (Foundations of infinitesimal analysis)": however, the topics covered range from the theory of integration to absolutely continuous functions and to operations on series of real functions.
  13. "Foundations of Analysis on the Real Field and its Developments": again according to Template:Harvtxt, the treatise would have included his later original results and covered all the fundamental topics required for the study of functional analysis on the real field.