Tractatus de diuina perfectione, infininate et magnitudine, circa illa verba, Ego sum, qui sum, [et]c. Exodi Capit. 3 : cui annexus est alius Tractatus De perfectione actus essendi creati, circa aliquot quæstiones ... / Authore F. Petro de Ledesma ... ;

Colofón en 3K6r

Tractatus de diuina perfectione, infininate et magnitudine, circa illa verba, Ego sum, qui sum, [et]c. Exodi Capit. 3 : cui annexus est alius Tractatus De perfectione actus essendi creati, circa aliquot quæstiones ... / Authore F. Petro de Ledesma ... ; cum triplici indice copiosissimo locorum sacrae Scripturae, [et] rerum hoc libro contentarum

Colofón en 3K6r

Explicit summa Angelica de casib[us] [con]sci[enti]e / p[er] fratre[m] Angelu[m] d[e] clauasio co[m]pilata ; maxima cu[m] dilige[n]tia reuisa, [et] fideli studio emendata ; sicut ip[sum] op[us] p[er] se sat[is] attestabit[ur].

Huecos para iniciales

Diui Thome aquinatis in tertio sententiarum libro i[n]terpretatio [et] expositio sum / a Thimotheo Veronense canonico regulari theologie scientissimo per[quam] diligenter visa recognita, erroribusque purgata [et] quantum anniti ars potuit fideliter impres

Pie de imp. tomado del colofón

Summa summarum que siluestrina dicitur nuperrime magna cum diligentia recognita ... huius quoq[ue] sum[m]e tabula in p[ar]tes duas diuisa est, sicut [et] ipsa su[m]ma, vt cuiq[ue] p[ar]ti sua p[ar]s r[espo]ndeat ...

Pie de imp. tomado del colofón de la segunda parte en 2Z5

Sum Insured Determination for Cereal, Citrus and Vineyards in the Spanish Agricultural Insurance System.

In general, insurance is a form of risk management used to hedge against a contingent loss. The conventional definition is the equitable transfer of a risk of loss from one entity to another in exchange for a premium or a guaranteed and quantifiable small loss to prevent a large and possibly devastating loss being agricultural insurance a special line of property insurance. Agriculture insurance, as actually are designed in the Spanish scenario, were established in 1978. At the macroeconomic insurance studies scale, it is necessary to know a basic element for the insurance actuarial components: sum insured. When a new risk assessment has to be evaluated in the insurance framework, it is essential to determinate venture capital in the total Spanish agriculture. In this study, three different crops (cereal, citrus and vineyards) cases are showed to determinate sum insured as they are representative of the cases found in the Spanish agriculture. Crop sum insured is calculated by the product of crop surface, unit surface production and crop price insured. In the cereal case, winter as spring cereal sowing, represents the highest Spanish crop surface, above to 6 millions of hectares (ha). Meanwhile, the four citrus species (oranges, mandarins, lemons and grapefruits) occupied an extension just over 275.000 ha. On the other hand, vineyard target to wine process shows almost one million of ha in Spain.

A Compact Formula for the Derivative of a 3-D Rotation in Exponential Coordinates

We present a compact formula for the derivative of a 3-D rotation matrix with respect to its exponential coordinates. A geometric interpretation of the resulting expression is provided, as well as its agreement with other less-compact but better-known formulas. To the best of our knowledge, this simpler formula does not appear anywhere in the literature. We hope by providing this more compact expression to alleviate the common pressure to reluctantly resort to alternative representations in various computational applications simply as a means to avoid the complexity of differential analysis in exponential coordinates.

Ego Sum [Manuscrito] : Año 2, Número 1 : Valencia 10 de Agosto 1904

Contiene : Carta de Arturo Piera (1904 ag. 12, Valencia)

Ego sum [Manuscrito] : Valencia 17 de Agosto de 1904 : Año 2, Número 2

Publicación periódica ms.

Ego Sum [Manuscrito] : 22 de Agosto 1904 : Año 2º, Número 3º, Valencia

Publicación periódica ms.

Ego sum [Manuscrito] : Valencia 12 Agosto 1905 : Año 3º, Numero 1

Cub. il.

Ego sum [Manuscrito] : Año 3º, Numero 2 : Valencia Agosto 1905

Publicación periódica ms.

Ego sum [Manuscrito] : Valencia 23 Agosto 1905 : Año 3º Num. 3º

Publicación periódica ms.

The Malthusian parameter of ascents: What prevents the exponential increase of one’s ancestors?

The reason that the indefinite exponential increase in the number of one’s ancestors does not take place is found in the law of sibling interference, which can be expressed by the following simple equation:\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*}\begin{matrix}{\mathit{N}}_{{\mathit{n}}} \enskip & \\ {\mathit{{\blacksquare}}} \enskip & \\ {\mathit{ASZ}} \enskip & \end{matrix} {\mathrm{\hspace{.167em}{\times}\hspace{.167em}2\hspace{.167em}=\hspace{.167em}}}{\mathit{N_{n+1},}}\end{equation*}\end{document} where Nn is the number of ancestors in the nth generation, ASZ is the average sibling size of these ancestors, and Nn+1 is the number of ancestors in the next older generation (n + 1). Accordingly, the exponential increase in the number of one’s ancestors is an initial anomaly that occurs while ASZ remains at 1. Once ASZ begins to exceed 1, the rate of increase in the number of ancestors is progressively curtailed, falling further and further behind the exponential increase rate. Eventually, ASZ reaches 2, and at that point, the number of ancestors stops increasing for two generations. These two generations, named AN SA and AN SA + 1, are the most critical in the ancestry, for one’s ancestors at that point come to represent all the progeny-produced adults of the entire ancestral population. Thereafter, the fate of one’s ancestors becomes the fate of the entire population. If the population to which one belongs is a successful, slowly expanding one, the number of ancestors would slowly decline as you move toward the remote past. This is because ABZ would exceed 2. Only when ABZ is less than 2 would the number of ancestors increase beyond the AN SA and AN SA + 1 generations. Since the above is an indication of a failing population on the way to extinction, there had to be the previous AN SA involving a far greater number of individuals for such a population. Simulations indicated that for a member of a continuously successful population, the AN SA ancestors might have numbered as many as 5.2 million, the AN SA generation being the 28th generation in the past. However, because of the law of increasingly irrelevant remote ancestors, only a very small fraction of the AN SA ancestors would have left genetic traces in the genome of each descendant of today.