This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

In this paper the research introduces a new definition of a fuzzy normed space then the related concepts such as fuzzy continuous, convergence of sequence of fuzzy points and Cauchy sequence of fuzzy points are discussed in details.

              In this paper, the packing problem for complete (  4)-arcs in  is partially solved. The minimum and the maximum sizes of complete (  4)-arcs in  are obtained. The idea that has been used to do this classification is based on using the algorithm introduced in Section 3 in this paper. Also, this paper establishes the connection between the projective geometry in terms of a complete ( , 4)-arc in  and the algebraic characteristics of a plane quartic curve over the field  represented by the number of its rational points and inflexion points. In addition, some sizes of complete (  6)-arcs in the projective plane of order thirteen are established, namely for  = 53, 54, 55, 56.

    Morphological and phonological studies of fungal pathogen infecting alfalfa weevil Hypera postica (Gyllenhal) indicating that infection has been shown to develop along two distinct physiological lines, each culminating in the production of either conidial or resting spores, in host cadavers which are morphologically distinct. The percent of infection and epizootic development appeared to be dependent on host density. Farther evidence to entail proper correlation between conidia and resting spores suggest that these two forms of spores are stages in the development of one pathogen.

August Wilson’s major concern is to communicate the African American cultural awareness; to establish a counter-culture based on self-confidence and assertiveness. He advocates an encouraging attitude to elevate the African Americans’ spiritual consciousness and to teach them how to sublimate their aims in life. He aspires to win the everlasting battle against racial discrimination, oppression, injustice, and identity confusion. Sublimation, as a defense mechanism, will be Wilson’s new ammunition to re-read and to re-interpret the psychic constitution of his people, to help them get out of their self-imposed fences and this is the core of Wilson’s new culture. Sublimation is the process in which the psyche directs the negative drive

In this paper, we introduce the notions of Complete Pseudo Ideal, K-pseudo Ideal, Complete K-pseudo Ideal in pseudo Q-algebra. Also, we give some theorems and relationships among them are debated.

Abstract The present work included morphological, anatomical, and palynological characters for the new species Acaalypha australis L. specimens, which belong to the family Euphorbiaceae. The species recorded in the study for the first time in Iraq. The plants of this species are annual herbs with green, striated or sub – polygonal stem, and branched near bases, Leaves are simple spirally alternate and lanceolate in shape. Flowers are unisexual, arranged in the axial of distinct leafy and cordate bracts, female flower arranged at the bracts bases and each flower with trileafed perianth and superior ovary with trilobed stylar stigma which has dense and coiled stigmatic hairs. Male flowers are arranged as a mixed verticellate inflorescence a

Astragalus mesogitanus is a new recorded species for Iraqi flora, from Onobrychium genus section, was collected from Erbil district, all morphological features were described in details as well as some micromorphological character as the trichomes and were provided with dimensions and plates, section key was also updated which illustrated the importance of standard (corolla) trichomes in species identification. Keywords: Astragalus, Fabaceae, Iraq, New record, Onobrychium, Trichomes.