7,518 research outputs found
<i>No se sabe</i>: entrevista a Lucas Gagliardi
No full textEntrevista al Licenciado y Profesor en Letras (UNLP) Lucas Gagliardi. Se especializa en literatura en lengua inglesa y en crítica genética. Se desempeña como profesor en la Universidad Pedagógica (UNIPE), en institutos de formación docente y escuelas secundarias. Ha participado en proyectos de investigación sobre archivos de escritores, publicaciones impresas. Participa en el programa de voluntariado universitario de la Facultad de Trabajo Social (UNLP) en articulación con la Biblioteca Ambulante del Hospital de Niños dictando talleres de lectura y escritura.Al hacer clic en el enlace que figura en "Documentos relacionados", pueden accederse a todos los trabajos de Lucas Gagliardi presentes en el repositorio.Radio Universidad Nacional de La Plat
KARAKTERISTIK SEGITIGA LUCAS
Get PDFABSTRACT. Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2, the sum of the first n terms of number of 1th column is equal to the number at (n+1)th row, 2nd column. Besides, the number at nth row and (n-2)th column of Lucas triangle is (n-1)^2 for n≥2, the sum of the first n terms of number of jth column is equal to the number at (n+1)th row, (j+1)^th column for j≥1. The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at (n-1)th row, (j-1)^th and the number at (n-1)th row, j^th. Then, the sum of coefficients of each n^th row of Lucas triangle is .Keywords: Pascal triangle, Lucas number, Lucas triangle.
ABSTRAK. Segitiga Lucas merupakan susunan koefisien-koefisien dari suatu polinomial yang disusun membentuk pola segitiga memyerupai segitiga Pascal. Penelitian ini mengkaji segitiga Lucas dan karakteristik dari segitiga Lucas. Hasil penelitian menunjukkan bahwa, setiap baris pada segitiga Lucas diawali dengan angka 1 dan diakhiri dengan angka 2, jumlah dari n suku bilangan pertama pada kolom ke-1 sama dengan bilangan pada baris ke- kolom ke-2. Selain itu, bilangan pada baris ke- kolom ke- pada segitiga Lucas adalah untuk , jumlah n suku bilangan pertama pada kolom ke-j sama dengan bilangan pada baris ke- kolom ke- untuk . Bilangan pada segitiga Lucas merupakan penjumlahan dari dua suku bilangan pada baris sebelumnya, yaitu bilangan pada baris ke- kolom ke- dan bilangan pada baris ke- kolom ke-j. Kemudian, jumlah koefisien setiap baris ke-n pada segitiga Lucas adalah .Kata Kunci: Segitiga Pascal, Bilangan Lucas, Segitiga Luca
PELL, PELL-LUCAS, JACOBSTHAL VE JACOBSTHAL-LUCAS POLİNOMLARI ÜZERİNE
No full textBu çalısmada Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas polinomlarının karekteristik özellikleri incelenerek; bu polinomların, bilinen rekürans bagıntıları yardımıyla Binet formülleri verildi. Ayrıca seriler yardımıyla üreteç fonksiyonları bulunarak, bu polinomları içeren bazı özdeslikler elde edildi. Pell ve Pell-Lucas polinomlarının üreteç matrisleri verilerek, bu polinomları içeren bazı özdeslikler üreteç matrisleri yardımıyla ispatlandı. Pell ve Pell-Lucas polinomlarını üreten Pascal benzeri gösterimle diziler olusturulup, bu polinomlardaki x ' in derecesinin tek veya çift olmasına göre kombinatoryal özellikleri incelendi. Son olarak determinantları Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas polinomlarını veren n × n matrisleri verildi.In this study, by describing properties characteristic of Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas polynomials, Binet formulas of these polynomials are examined with the help of recurrence relations. Additionally, by finding the generating functions through the reference of serials, some identities which contain these polynomials are obtained. By means of the generating matrices of Pell and Pell-Lucas polynomials some identities which have polynomials are demonstrated. By constituting Pascal-like display that generate Pell and Pell-Lucas polynomials, the combinatorial properties of these polynomials are scrutinized according to the odd an even of degree of x . Finally, the n × n matrices whose determinants obtain Pell, Pell-Lucas, Jacobsthal and Jacobsthal-Lucas polynomials are derived
ON THE PELL, PELL-LUCAS, JACOBSTHAL AND JACOBSTHAL-LUCAS POLYNOMIALS
No full textBu çalısmada Pell, Pell-Lucas, Jacobsthal ve Jacobsthal-Lucas polinomlarının
karekteristik özellikleri incelenerek; bu polinomların, bilinen rekürans
bagıntıları yardımıyla Binet formülleri verildi. Ayrıca seriler yardımıyla üreteç
fonksiyonları bulunarak, bu polinomları içeren bazı özdeslikler elde edildi. Pell
ve Pell-Lucas polinomlarının üreteç matrisleri verilerek, bu polinomları içeren
bazı özdeslikler üreteç matrisleri yardımıyla ispatlandı. Pell ve Pell-Lucas
polinomlarını üreten Pascal benzeri gösterimle diziler olusturulup, bu
polinomlardaki x ' in derecesinin tek veya çift olmasına göre kombinatoryal
özellikleri incelendi. Son olarak determinantları Pell, Pell-Lucas, Jacobsthal ve
Jacobsthal-Lucas polinomlarını veren n × n matrisleri verildi.In this study, by describing properties characteristic of Pell, Pell-Lucas,
Jacobsthal and Jacobsthal-Lucas polynomials, Binet formulas of these
polynomials are examined with the help of recurrence relations. Additionally,
by finding the generating functions through the reference of serials, some
identities which contain these polynomials are obtained. By means of the
generating matrices of Pell and Pell-Lucas polynomials some identities which
have polynomials are demonstrated. By constituting Pascal-like display that
generate Pell and Pell-Lucas polynomials, the combinatorial properties of these
polynomials are scrutinized according to the odd an even of degree of x .
Finally, the n × n matrices whose determinants obtain Pell, Pell-Lucas,
Jacobsthal and Jacobsthal-Lucas polynomials are derived
A three by three Pascal matrix representations of the generalized Fibonacci and Lucas sequences
No full textIn this study, a matrix R-v is defined, and two closed form expressions of the matrix R-v(n), for an integer n >= 1, are evaluated by the matrix functions in matrix theory. These expressions satisfy a connection between the generalized Fibonacci and Lucas numbers with the Pascal matrices. Thus, two representations of the matrix R-v(n) and various forms of matrix (R-v +q Delta I)(n) are studied in terms of the generalized Fibonacci and Lucas numbers and binomial coefficients. By modifying results of 2 x 2 matrix representations given in the references of our study, we give various 3 x 3 matrix representations of the generalized Fibonacci and Lucas sequences. Many combinatorial identities are derived as applications
Segitiga Lucas Dan Sifat-Sifatnya
Get PDFSegitiga Lucas merupakan kumpulan dari koefisien-koefisien suatu polinomial yang tersusun membentuk pola segitiga. Segitiga Lucas memiliki kemiripan dengan segitiga Pascal, begitu juga pada sifat-sifatnya. Pada penelitian ini dikaji mengenai segitiga Lucas dan beberapa sifat dari segitiga Lucas. Hasil penelitian menunjukkan bahwa pada segitiga Lucas, setiap baris diawali dengan angka 1 dan diakhiri dengan angka 2, jumlah dari n suku bilangan pertama pada kolom 1 j sama dengan bilangan pada baris ke- 1n kolom 2 j untuk 1n . Selain itu, bilangan pada baris ke-n kolom ke- 2n pada segitiga Lucas adalah 2 1n untuk 2 n , jumlah n suku bilangan pertama pada kolom ke-j sama dengan bilangan pada baris ke- 1n kolom ke- 1j untuk 1 j . Bilangan pada segitiga Lucas merupakan penjumlahan dari dua suku bilangan pada baris sebelumnya, yaitu bilangan pada baris ke- 1n kolom ke- 1j dan bilangan pada baris ke- 1n kolom ke- 1j . Kemudian, jumlah setiap baris n pada segitiga Lucas adalah 1 32 n . Kata kunci: bilangan Lucas, segitiga Lucas, segitiga Pascal, sifat-sifat segitiga Lucas
BEBERAPA IDENTITAS BARISAN FIBONACCI DAN LUCAS
Get PDFPenelitian ini bertujuan untuk menyelidiki hubungan antara barisan Fibonacci dan Lucas, dan membuktikan identitas-identitas barisan Fibonacci dan Lucas. Barisan Fibonacci dan Lucas merupakan barisan rekursif yang mempunyai aturan yang sama namun memiliki nilai awal yang berbeda. Dalam penelitian ini, akan dibahas beberapa identitas yang melibatkan kedua barisan tersebut, serta satu identitas yang berkaitan dengan segitiga Pascal
Gas volume fraction and velocity profiles: vertical and inclined bubbly air-water flows
No full textUpward inclined gas-liquid flows are frequently encountered in the oil industry and data relating to the local gas volume fraction distribution and the local gas velocity distribution is important, for example, in pressure gradient prediction and in modeling oil well 'blowouts'. In this paper measurements are presented of the local gas volume fraction distribution and the local axial gas velocity distribution which were taken in bubbly air-water flows in an 80 mm diameter pipe which was inclined at angles of 0°, 15° and 30° to the vertical. Qualitative arguments are presented to explain the influence of the liquid superficial velocity on the local gas volume fraction distribution in inclined flow and also to explain the very high axial gas velocities observed towards the upper side of the inclined pipe
West Toledo Branch 60th Anniversary, Toledo, Ohio, 1990
No full textFrom the West Toledo Branch Collection, Toledo author Virginia Hannford Eyster poses for a portrait while holding a copy of her book, Journey of the Heart, during the 60th anniversary party of the West Toledo Branch on September 30, 1990. Terms associated with the photograph are: Public libraries | Anniversaries | Celebrations | Toledo-Lucas County Public Library (Toledo, Ohio) | West Toledo Branch (Toledo, Ohio) | 1320 Sylvania Avenue (Toledo, Ohio) | Eyster, Virginia Hannaford | Author
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