e Faith of a Hydrologist

1. e Faith of a Hydrologist Carlos E. Puente University of California, Davis Ateneo Pontificio Regina Apostolorum Roma, Aprile 17, 2012

2. esis We humans, with a soul, may learn from recent advancements regarding natural complexity in order to find peace…

3. Simple Maps and Fractal Wires (Barnsley, 1988) (1/2, 1) (0,0) (1,0) different shapes depend on signs of and

4. Cascades, Turbulence and Multifractals (Meneveau and Sreenivasan, 1987) 70% 30% gives a multifractal using a biased coin

5. A Platonic Approach to Complexity (Puente, 1992, 1994) is “illumination” on a wire and 𝑑𝑦 is derived projection is also a “transformation” of turbulence “shadow” appears random but is entirely deterministic

6. Projections Galore varying interpolating points with statistics as in natural hydrologic sets

7. A Detailed Storm in Boston (Puente and Obregón, 1996) a model projection (center)of a real data set (right) model also preserves statistical and chaotic features of data

8. Extensions to Higher Dimensions (Puente, 1994, 2004) a pollution pattern based on a wire in four dimensions similarly for rainfall patterns and others…

9. Exploring the Limit: e + – Case (Puente et al., 1996) is a Gaussian curve for any non-discrete a surprising bridge from dissipation to conduction and love – – case yields oscillations between two bells

10. Mighty Gaussians Everywhere! (Puente and Klebanoff, 1994) circular bells are the most common, but ellipticals do happen there are also cases producing oscillations among bells proof of higher-dimensional Gaussian remains elusive

11. Treasures Inside the Bell (Puente, 2003) superposition of many lovely patterns give perfect circles in the space-filling limit there is hidden order in chance

12. Designs Inside the Bell (Puente, 2003) suitable iterations of simple maps yield arbitrary ice crystals the rosette of DNA is coded via the binary expansion of π

13. A Truly Special + + Case a delightful-sounding bell concentrated at infinity the wire that is maximally positive filters any disorder: Where, O death, is your victory? Where, O death, is your sting?

14. e Majestic Trilogy the Father mighty in heaven the Son always perfect and positive and the Holy Spiritthat comes from them… St. Augustine

15. On the Life of Jesus Christ and Beyond His birth and miracles, the Eucharist in “a piece of the wire” unity with the Father, baptism, transfiguration, resurrection, and Ascension Assumption of Mary and rapture of the Church

16. Other Matters of Faith “look not on our sins, but on the faith of your Church” “love covers a multitude of sins,” “the flesh produces death, but the Spirit life” “the law is only a shadow of good things to come”

17. On the Unity of the Holy Spirit “angel-winged” transformation via midpoint additions of infinite unity the Holy Spirit is also seen in the number and the irrational number , and the calculus of loveis integration without differentiation: also, from Jesus’ parable of the vine and the branches:

18. Trinitarian Numbers always found on each block: 0, 1 and ∞ the Father in , the Son in , and the Holy Spirit in

19. Trinitarian Numbers always found on each block: 0, 1 and ∞ the Father in , the Son in , and the Holy Spirit in these irrational numbers are part of the formula for the bell—integral to freedom

20. Our Options conduction infiniteness plenitude trust faith freedom one day at a time harmony light heavenly always + Love dissipation finiteness solitude disbelief doubts slavery anxiety intermittency darkness earthly a bit − else

21. e Amazing Bell e bell peals silent, reflecting its peace, and inside it gathers lovely masterpiece. Symmetric pure beauty, o mighty delight, this limit in fullness stores life’s designs. Such vessel contains, alephs of all tastes, diatoms and crystals including DNA. But there is a case, reason to this call: the forward selection that raises it all. ere is clear choice that rotates the 8, by loving sincerely we surely converge.