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Kostya_I
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Intellectually serious Interesting examples of systems of linear differential equations with constant coefficients

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were included in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

Intellectually serious examples of systems of linear differential equations with constant coefficients

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were included in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

Interesting examples of systems of linear differential equations with constant coefficients

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were included in this paper either.

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

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Michael Hardy
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In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were includeincluded in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were include in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were included in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.

Source Link
Michael Hardy
  • 1
  • 12
  • 85
  • 126

Intellectually serious examples of systems of linear differential equations with constant coefficients

In this paper, Gian-Carlo Rota wrote:

A lot of interesting systems with constant coefficients have been discovered in the last thirty years: in control, in economics, in signal processing, even in mathematics. None of these attractive examples is presently included in introductory texts. At present all examples of matrix systems one finds in such texts are either planar or else they are artificial.

None of these attractive examples were include in this paper either.

philosophically tendentious comment

(Contempt for applications is one of several somewhat widespread instances of anti-intellectualism among mathematicians.)

/philosophically tendentious comment

What are some examples of what Rota is talking about?

Rota died in 1999, so "the last thirty years" can be construed accordingly, but more recent examples could be included here as well.