• E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]

    [+preamble]
    newcommand{cf}{mbox{cf}}
    newcommand{ls}{left<}
    newcommand{rs}{right>}
    newcommand{RS}{mathcal{RS}}
    newcommand{cfn}[3]{left{#2:|:#3right}_{#1}}
    [/preamble]
    section*{Operations}

    The textbf{aggregation operation} $varphi_{m,q}:mathcal{RS}rightarrowmathcal{RS}$
    with $m,qinbkNz$ and $q<m$, is the map such that,
    $$ w =…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]

    [+preamble]
    newcommand{cf}{mbox{cf}}
    newcommand{ls}{left<}
    newcommand{rs}{right>}
    newcommand{RS}{mathcal{RS}}
    newcommand{cfn}[3]{left{#2:|:#3right}_{#1}}
    [/preamble]
    section*{Operations}

    The textbf{aggregation operation} $varphi_{m,q}:mathcal{RS}rightarrowmathcal{RS}$,
    with $m,qinbkNz$ and $q<m$, is the map such that,
    $$ w =…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [+preamble]
    newcommand{cf}{mbox{cf}}
    newcommand{ls}{left<}
    newcommand{rs}{right>}
    newcommand{RS}{mathcal{RS}}
    newcommand{cfn}[3]{left{#2:|:#3right}_{#1}}
    [/preamble]
    section*{Operations}

    The textbf{aggregation operation} $varphi_{m,q}:mathcal{RS}rightarrowmathcal{RS}$,
    with $m,qinbkNz$ and $q<m$, is the map such that,
    $$ w =…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [+preamble]
    newcommand{cf}{mbox{cf}}
    newcommand{ls}{left<}
    newcommand{rs}{right>}
    newcommand{RS}{mathcal{RS}}
    newcommand{cfn}[3]{left{#2:|:#3right}_{#1}}
    [/preamble]$
    section*{Operations}

    The textbf{aggregation operation} $varphi_{m,q}:RSrightarrowRS$,
    with $m,qinbkNz$ and $q<m$, is the map such that,
    $$ w = varphi_{m,q}(u):::mbox{ and }::: w_i…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [+preamble]
    newcommand{cf}{mbox{cf}}
    newcommand{ls}{left<}
    newcommand{rs}{right>}
    newcommand{RS}{mathcal{RS}}
    newcommand{cfn}[3]{left{#2:|:#3right}_{#1}}
    [/preamble]$
    section*{Operations}

    The textbf{aggregation operation} $varphi_{m,q}:RSrightarrowRS$,
    with $m,qinbkNz$ and $q<m$, is the map such that,
    $$ w = varphi_{m,q}(u):::mbox{ and }::: w_i…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latexpage]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latexpage]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    $
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • E. Rocha replied to the topic RRR in the forum 40-xx Sequences, series, summability 2 years ago

    [latex]
    [+preamble]
    newtheorem{dfn}{Definition}
    newtheorem{theo}{Theorem}
    newtheorem{prob}{Problem}
    newtheorem{prop}[theo]{Proposition}
    newtheorem{lmm}[theo]{Lemma}
    newtheorem{clm}{Claim}
    newtheorem{rmk}{Remark}
    newtheorem{claim}{Claim}
    newenvironment{proof}{textit{Proof.} small}{normalsize…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    [math] sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}[/math]

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following some of…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    [math] sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}[/math]

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    [math] sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}[/math]

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    [math] sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}[/math]

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    [math] sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}[/math]

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    $$ sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}$$

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following some of the…[Read more]

  • Motivated by the (renormalization) of some classical divergent series in String Theory, e.g.

    $$ sum_{n=1}^{+infty} n = -frac{1}{12}
    ::mbox{ (yes, it means) } 1 + 2+ 3+ 4+5+6+dots = -frac{1}{12}$$

    (see here), I start thinking on the convergence meaning of a class of divergent series, trying to make sense of them without following some of the…[Read more]

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