A small tour of Prosper facilities

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A small tour of Prosper facilities

L

^A

TEX presentations made easy

Fr´ed´eric Goualard

Centrum voor Wiskunde en Informatica The Netherlands

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Introduction

If you click on my name in the previous page, you should be directed to the Prosper homepage,

provided your Acrobat Reader has been properly configured.

Press on CTRL-L to go to/leave full screen view.

Curious? Want to go directly to the last page? Push here.

A small tour of Prosper facilities – p. 2/8

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Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

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Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(5)

Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(6)

Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(7)

Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(8)

Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(9)

Transitions

Prosper offers seven transitions between slides:

Split;

Blinds;

Box;

Wipe;

Dissolve;

Glitter;

Replace.

(10)

Diagrams

A small diagram with some few lines of L

^A

TEX.

Since the diagram and the text are at the same level, there is no

difficulty to add some link from one to another.

(X − A, N − A) ( ˜X, a˜ )

(X, N ) ( ˜X, N˜ ) a

r

b

s

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Diagrams

A small diagram with some few lines of L

^A

TEX. Since the diagram and the text are at the same level, there is no

difficulty to add some link from one to another.

(X − A, N − A) ( ˜X, a˜ )

(X, N ) ( ˜X, N˜ ) a

r

b

s

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A small clipping effect

Any practical use for this?

Ce n’était pas une petite gare de province, mais une porte dérobée. Elle donnait en apparence sur la campagne. Sous l’œil d’un contrôleur paisible on gag- nait une route blanche sans mystère, un ruisseau, des églantines. Le chef de gare soignait des roses, l’homme d’équipe feignait de pousser un chariot vide. Sous ces déguisements, veillaient trois gardi- ens d’un monde secret.

And t her re ea

m so yo an

er th

fun

n y effects.. .

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A small clipping effect

Any practical use for this?

Ce n’était pas une petite gare de province, mais une porte dérobée. Elle donnait en apparence sur la campagne. Sous l’œil d’un contrôleur paisible on gag- nait une route blanche sans mystère, un ruisseau, des églantines. Le chef de gare soignait des roses, l’homme d’équipe feignait de pousser un chariot vide. Sous

And t her re ea

m so yo an

er th

fun

n y effects.. .

(14)

Householder formula

The Householder formula below lets you compute f⁻¹(x) for an arbitrary f .

x_k+1 7→ Φn(xk) = xk + (n − 1)

1 f(x^k)

_n−2

1 f(x^k)

n−1 + f (xk)ⁿ⁺¹ ψ (1)

where n ≥ 2 and ψ is an arbitrary function.

Formula (1) gives an iteration of order n converging towards x_∗ such that: f(x_∗) = 0.

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Householder formula

x_k+1 7→ Φn(xk) = xk + (n − 1)

1 f(x^k)

_n−2

1 f(x^k)

n−1 + f (xk)ⁿ⁺¹ ψ (1)

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Householder formula

x_k+1 7→ Φn(xk) = xk + (n − 1)

1 f(x^k)

_n−2

1 f(x^k)

n−1 + f (xk)ⁿ⁺¹ ψ (1)

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Overlaps of colors

Intersection of sets. First the yellow one. . . Then the blue

one.Remember how to do that with MS PowerPoint?

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Overlaps of colors

Intersection of sets. First the yellow one. . . Then the blue one.Remember how to do that with MS PowerPoint?

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