Discoveries in Chinese; or, The symbolism of the primitive characters of the Chinese system of writing. As a contribution to philology and ethnology and a practical aid in the acquisition of the Chinese language,

Mode of access: Internet.

Thoughts and reflections on modern society, with an introduction on the gradual social evolution of primitive man,

Mode of access: Internet.

The thirty-nine articles of the Church of England, illustrated with notes, and confirmed by texts of the Holy Scripture, and testimonies of the primitive fathers ... /

Mode of access: Internet.

Creation myths of primitive America in relation to the religious history and mental development of mankind. Part 1.

The complete work was issued as a single volume (xxxix, 530p.) December 1898.

Paul, the apostle of Jesus Christ : his life and work, his epistles and his doctrine : a contribution to a critical history of primitive Christianity /

Translation of: Paulus, der Apostel Jesu Christi.

The blood covenant; a primitive rite and its bearing on Scripture,

Mode of access: Internet.

Correlations between the morphology of diffuse and primitive beta-amyloid (A beta) deposits and the frequency of associated cells in Down's syndrome

Correlations between the morphology of beta-amyloid (A beta) deposits and the frequency with which they are associated with neurons and glial cells were studied in Down's syndrome. The diameter of diffuse deposits was positively correlated with the frequency of large (> 25 microns) neuronal cell bodies in the isocortex and with glial cells in the hippocampus. Diameters of primitive deposits were positively correlated with glial cells in the hippocampus and with glial cells and neurons in the isocortex. Staining intensity was positively correlated with glial cells especially in the hippocampus. The data suggest that: (i) diffuse deposits develop from neurons and primitive deposits from glia; (ii) the size of A beta deposits depends on the numbers of neurons and glia; (iii) glial cells are also involved in the conversion of A beta to amyloid; and (iv) the increased density of primitive deposits in the hippocampus is determined by the high density of glial cells.

The development and growth of tissues derived from cranial neural crest and primitive mesoderm is dependent on the ligation status of retinoic acid receptor γ:evidence that retinoic acid receptor γ functions to maintain stem/progenitor cells in the absence of retinoic acid

Retinoic acid (RA) signaling is important to normal development. However, the function of the different RA receptors (RARs)-RARα, RARβ, and RARγ-is as yet unclear. We have used wild-type and transgenic zebrafish to examine the role of RARγ. Treatment of zebrafish embryos with an RARγ-specific agonist reduced somite formation and axial length, which was associated with a loss of hoxb13a expression and less-clear alterations in hoxc11a or myoD expression. Treatment with the RARγ agonist also disrupted formation of tissues arising from cranial neural crest, including cranial bones and anterior neural ganglia. There was a loss of Sox 9-immunopositive neural crest stem/progenitor cells in the same anterior regions. Pectoral fin outgrowth was blocked by RARγ agonist treatment. However, there was no loss of Tbx-5-immunopositive lateral plate mesodermal stem/progenitor cells and the block was reversed by agonist washout or by cotreatment with an RARγ antagonist. Regeneration of the caudal fin was also blocked by RARγ agonist treatment, which was associated with a loss of canonical Wnt signaling. This regenerative response was restored by agonist washout or cotreatment with the RARγ antagonist. These findings suggest that RARγ plays an essential role in maintaining stem/progenitor cells during embryonic development and tissue regeneration when the receptor is in its nonligated state.

Primitive Ideals and Symplectic Leaves of Quantum Matrices

It is proved that there exists a bijection between the primitive ideals of the algebra of regular functions on quantum m × n-matrices and the symplectic leaves of associated Poisson structure.

Polynomials of Pellian Type and Continued Fractions

We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N, the period length of the simple continued fraction expansion of √fk (X) is constant. Furthermore, we show that the period lengths of √fk (X) go to infinity with k. For each member of the families involved, we show how to determine, in an easy fashion, the fundamental unit of the underlying quadratic field. We also demonstrate how the simple continued fraction ex- pansion of √fk (X) is related to that of √C, where √fk (X) = ak*X^2 +bk*X + C. This continues work in [1]–[4].

Discriminant Sets of Families of Hyperbolic Polynomials of Degree 4 and 5

∗ Research partially supported by INTAS grant 97-1644

Ideal Criteria for both Ideal Criteria for both X2-dy2 = M1 And X2-dy2 = M2 to have Primitive Solutions for any Integers M1, M2 Prime to D > 0

This article provides necessary and sufficient conditions for both of the Diophantine equations X^2 − DY^2 = m1 and x^2 − Dy^2 = m2 to have primitive solutions when m1 , m2 ∈ Z, and D ∈ N is not a perfect square. This is given in terms of the ideal theory of the underlying real quadratic order Z[√D].

Fractional Extensions of Jacobi Polynomials and Gauss Hypergeometric Function

2000 Mathematics Subject Classification: 26A33, 33C45

Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function

AMS Subject Classification 2010: 11M26, 33C45, 42A38.