# Scientific

## On Hilbert's 10th Problem - Part 4 of 4

Speaker:
Yuri Matiyasevich
Date:
Wed, Mar 1, 2000
Location:
PIMS, University of Calgary
Conference:
Mini Courses by Distinguished Chairs
Abstract:
A Diophantine equation is an equation of the form $D(x_1,...,x_m)$ = 0, where D is a polynomial with integer coefficients. These equations were named after the Greek mathematician Diophantus who lived in the 3rd century A.D. Hilbert's Tenth problem can be stated as follows: Determination of the Solvability of a Diophantine Equation. Given a diophantine equation with any number of unknown quantities and with rational integral numerical coefficients, devise a process according to which it can be determined by a finite number of operations whether the equation is solvable in rational integers. This lecture is part 4 of a series of 4. N.B. This video was transferred from an old encoding of the original media. The audio and video quality may be lower than normal.
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## On Hilbert's 10th Problem - Part 3 of 4

Speaker:
Yuri Matiyasevich
Date:
Wed, Mar 1, 2000
Location:
PIMS, University of Calgary
Conference:
Mini Courses by Distinguished Chairs
Abstract:
A Diophantine equation is an equation of the form $D(x_1,...,x_m)$ = 0, where D is a polynomial with integer coefficients. These equations were named after the Greek mathematician Diophantus who lived in the 3rd century A.D. Hilbert's Tenth problem can be stated as follows: Determination of the Solvability of a Diophantine Equation. Given a diophantine equation with any number of unknown quantities and with rational integral numerical coefficients, devise a process according to which it can be determined by a finite number of operations whether the equation is solvable in rational integers. This lecture is part 3 of a series of 4. N.B. This video was transferred from an old encoding of the original media. The audio and video quality may be lower than normal.
Class:
Subject:

## On Hilbert's 10th Problem - Part 2 of 4

Speaker:
Yuri Matiyasevich
Date:
Wed, Mar 1, 2000
Location:
PIMS, University of Calgary
Conference:
Mini Courses by Distinguished Chairs
Abstract:
A Diophantine equation is an equation of the form $D(x_1,...,x_m)$ = 0, where D is a polynomial with integer coefficients. These equations were named after the Greek mathematician Diophantus who lived in the 3rd century A.D. Hilbert's Tenth problem can be stated as follows: Determination of the Solvability of a Diophantine Equation. Given a diophantine equation with any number of unknown quantities and with rational integral numerical coefficients, devise a process according to which it can be determined by a finite number of operations whether the equation is solvable in rational integers. This lecture is part 2 of a series of 4. N.B. This video was transferred from an old encoding of the original media. The audio and video quality may be lower than normal.
Class:
Subject: