This document discusses group theory concepts including:
1) Definitions of groups, abelian groups, order of groups and elements.
2) Properties of cyclic groups, including examples like Zn and Z.
3) Introduction to normal subgroups and their properties. Factor groups and homomorphisms are also discussed.
Light can be described by both the corpuscular theory proposed by Newton and the wave theory supported by Young's double-slit experiment in 1805. Young demonstrated the wave nature of light by observing the interference pattern produced when light passes through two slits, providing evidence that light exhibits wave-like properties such as interference and diffraction. The document presented information on the double-slit experiment and its results, which proved the wave theory of light.
For a system involving two variables (x and y), each linear equation determines a line on the xy-plane. Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set
A presentation looking at the parallelisation of the Vienna ab initio Simulation Package (VASP) code, how to optimise performance and scaling by tuning the input control tags, and some initial experience with the NVIDIA GPU (CUDA) port of the code, including compiling, running jobs, and some initial benchmark results.
This document defines cyclic groups and discusses their order theorem. It explains that a cyclic group G is generated by a single element a, such that every element of G can be expressed as an power of a. It then proves that the order of a cyclic group equals the order of its generator using the division algorithm, showing that for any integer m, m can be expressed as nq + r, where n is the order of the generator and 0 <= r < n. It provides examples of applications of group theory in fields like physics, biology, crystal structure analysis, and coding theory.
This document discusses the photoelectric effect and how it relates to classical and quantum theories of light. It begins by describing early observations of the photoelectric effect and how it works. It then outlines several predictions of classical theory that did not match experimental observations, such as intensity of light not affecting electron kinetic energy. Einstein's explanation using a quantum theory approach is then presented, introducing the concept of photons. Several actual observations from experiments are then matched to explanations using quantum theory. The document concludes by discussing de Broglie's hypothesis of matter waves and how particles can behave as waves.
1) The document discusses normal subgroups, providing examples and theorems about their properties.
2) A subgroup H of a group G is normal if aH=Ha for all a in G. Some key results are that subgroups of abelian groups and subgroups of index 2 are always normal.
3) The document provides examples of normal subgroups, such as the special linear group SLn,R being normal in the general linear group GLn,R. It also gives a counterexample to show not all groups where every subgroup is normal must be abelian.
The document describes an experiment to verify Malus' Law, which states that the intensity of light transmitted through a polarizer and analyzer varies as the cosine squared of the angle between their transmission directions. The experimental setup uses a diode laser, polarizer, rotating analyzer, and detector. Intensity readings are recorded for analyzer angles from 0-360 degrees and graphed against both the angle and cosine squared of the angle. The results show agreement with Malus' Law, verifying that intensity is directly proportional to the cosine squared of the angle.
This document discusses group theory concepts including:
1) Definitions of groups, abelian groups, order of groups and elements.
2) Properties of cyclic groups, including examples like Zn and Z.
3) Introduction to normal subgroups and their properties. Factor groups and homomorphisms are also discussed.
Light can be described by both the corpuscular theory proposed by Newton and the wave theory supported by Young's double-slit experiment in 1805. Young demonstrated the wave nature of light by observing the interference pattern produced when light passes through two slits, providing evidence that light exhibits wave-like properties such as interference and diffraction. The document presented information on the double-slit experiment and its results, which proved the wave theory of light.
For a system involving two variables (x and y), each linear equation determines a line on the xy-plane. Because a solution to a linear system must satisfy all of the equations, the solution set is the intersection of these lines, and is hence either a line, a single point, or the empty set
A presentation looking at the parallelisation of the Vienna ab initio Simulation Package (VASP) code, how to optimise performance and scaling by tuning the input control tags, and some initial experience with the NVIDIA GPU (CUDA) port of the code, including compiling, running jobs, and some initial benchmark results.
This document defines cyclic groups and discusses their order theorem. It explains that a cyclic group G is generated by a single element a, such that every element of G can be expressed as an power of a. It then proves that the order of a cyclic group equals the order of its generator using the division algorithm, showing that for any integer m, m can be expressed as nq + r, where n is the order of the generator and 0 <= r < n. It provides examples of applications of group theory in fields like physics, biology, crystal structure analysis, and coding theory.
This document discusses the photoelectric effect and how it relates to classical and quantum theories of light. It begins by describing early observations of the photoelectric effect and how it works. It then outlines several predictions of classical theory that did not match experimental observations, such as intensity of light not affecting electron kinetic energy. Einstein's explanation using a quantum theory approach is then presented, introducing the concept of photons. Several actual observations from experiments are then matched to explanations using quantum theory. The document concludes by discussing de Broglie's hypothesis of matter waves and how particles can behave as waves.
1) The document discusses normal subgroups, providing examples and theorems about their properties.
2) A subgroup H of a group G is normal if aH=Ha for all a in G. Some key results are that subgroups of abelian groups and subgroups of index 2 are always normal.
3) The document provides examples of normal subgroups, such as the special linear group SLn,R being normal in the general linear group GLn,R. It also gives a counterexample to show not all groups where every subgroup is normal must be abelian.
The document describes an experiment to verify Malus' Law, which states that the intensity of light transmitted through a polarizer and analyzer varies as the cosine squared of the angle between their transmission directions. The experimental setup uses a diode laser, polarizer, rotating analyzer, and detector. Intensity readings are recorded for analyzer angles from 0-360 degrees and graphed against both the angle and cosine squared of the angle. The results show agreement with Malus' Law, verifying that intensity is directly proportional to the cosine squared of the angle.
Theoretical base of mahematical educationdeeparavisai
Euclid of Alexandria was a Greek mathematician from the 4th century BC known as the "father of geometry". He compiled the mathematical knowledge of his time into a 13 volume work called "Euclid's Elements", which defined the principles of geometry. The Elements was used as the standard geometry textbook for over 2000 years and covered topics like triangles, parallels, proportions, irrationals, and solid geometry. Euclid also made contributions to number theory, proving that the number of prime numbers is infinite. His work had a profound and lasting impact on mathematics.
The document discusses the Gauss-Jordan elimination method for solving systems of linear equations. It involves transforming the augmented matrix of the system into reduced row echelon form using elementary row operations. The key steps are to turn the equations into an augmented matrix, use row operations to put the matrix in diagonal form with ones on the diagonal, and then divide elements to solve for the variables. An example problem demonstrates applying the Gauss-Jordan method to solve a system of three equations with three unknowns.
The document defines and discusses several key concepts relating to groups in abstract algebra:
- A group is defined as a non-empty set together with a binary operation that satisfies closure, associativity, identity, and inverse properties.
- An abelian (or commutative) group is one where the binary operation is commutative. Examples of abelian groups include integers under addition.
- The quaternion group is a non-abelian group of order 8 under multiplication.
- Theorems are presented regarding the uniqueness of identity and inverses in a group, as well as cancellation, reverse order, and inverse properties of groups.
This document discusses statistical mechanics and the distribution of energy among particles in a system. It provides 3 main types of statistical distributions based on the properties of identical particles: Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics. Maxwell-Boltzmann statistics applies to distinguishable particles, while Bose-Einstein and Fermi-Dirac apply to indistinguishable particles (bosons and fermions respectively), with the key difference being that fermions obey the Pauli exclusion principle. The document also discusses applications of these distributions, including the Maxwell-Boltzmann distribution law for molecular energies in an ideal gas.
Description of Physics of Optics, part I.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
For more presentations in optics and other subjects please visit my website at http://www,solohermelin.com.
Merge sort is a sorting algorithm that uses a divide and conquer technique. It divides an array into halves, recursively sorts each half, and then merges the sorted halves into a single sorted array. John Von Neumann developed merge sort in 1945 for the EDVAC computer. Merge sort has a time complexity of O(n log n), making it one of the most efficient sorting algorithms.
This document defines basic set theory concepts including sets, elements, notation for sets, subsets, unions, intersections, and empty sets. It provides examples and notation for these concepts. Sets are collections of objects, represented with capital letters, while elements are individual objects represented with lowercase letters. Notation includes braces { } to list elements and vertical bars for set builder notation. A is a subset of B if all elements of A are also in B, written as A ⊆ B. The union of sets A and B contains all elements that are in A or B, written as A ∪ B. The intersection of sets A and B contains elements that are only in both A and B, written as A ∩ B.
There are three possible solutions to a system of linear equations in two variables:
One solution: the graphs intersect at a single point, giving the solution coordinates.
No solution: the graphs are parallel lines, making the system inconsistent.
Infinitely many solutions: the graphs are the same line, making the equations dependent.
The substitution method for solving systems involves: 1) solving one equation for a variable, 2) substituting into the other equation, 3) solving the new equation, and 4) back-substituting to find the remaining variable.
The document discusses symmetric groups and permutations. Some key points:
- A symmetric group SX is the group of all permutations of a set X under function composition.
- Sn, the symmetric group of degree n, represents permutations of the set {1,2,...,n}.
- Permutations can be written using cycle notation, such as (1 2 3) or (1 4).
- Disjoint cycles commute; the product of two permutations is their composition as functions.
- Any permutation can be written as a product of disjoint cycles of length ≥2. Cycles of even length decompose into an odd number of transpositions, and vice versa for odd cycles.
This document discusses simplifying radical expressions using the product, quotient, and power rules for radicals. It also covers adding, subtracting, multiplying, and dividing radicals. Rationalizing denominators is explained as well as solving radical equations. Key steps include isolating the radical term, squaring both sides to remove the radical, and checking solutions in the original equation.
The document describes an experiment to determine the separation between the plates of a Fabry Perot etalon. It provides background on the Fabry Perot interferometer and the principle of interference in the etalon. The experimental setup involves illuminating the etalon with a laser and measuring the angular diameters of interference fringes observed on a screen. By plotting the order of interference versus the cosine of the fringe angles and determining the slope, the separation between the etalon plates is calculated as approximately 2-3 mm, remaining constant despite varying the screen distance.
This document discusses computational physics. It begins with defining computational physics as the study and implementation of numerical algorithms and techniques to solve physics problems using computers. The purpose of the course is to demonstrate how computers can enable a deeper understanding of physics through vast calculations. There are two main scientific programming methods - using mathematical software packages or writing custom programs in languages like Fortran, C, or C++. Computational physics has applications in fields like accelerator physics, astrophysics, and plasma physics. It can simulate particle behavior, study astrophysical objects, and model plasma states.
SPECTRA OF ALKLI ELEMENT, SPIN ORBIT INTERACTION & FINE STRUCTER OF ALKLI SP...AnitaMalviya
The document discusses alkali metals, spin-orbit interaction, and the fine structure of alkali spectra. It first describes alkali metals as a group of reactive soft metals including lithium, sodium, potassium, rubidium, cesium, and francium. It then explains that spin-orbit interaction causes shifts in electron energy levels due to the interaction between an electron's spin and the magnetic field from its orbit around the nucleus. Finally, it discusses how spin-orbit coupling splits energy levels into substates, resulting in multiplets in spectra known as fine structure, with the splitting determined by the quantum numbers j, l, and s.
Fractals are irregular patterns that are self-similar across different scales. They are a branch of mathematics concerned with shapes found in nature that have non-integer dimensions. Some early contributors to fractal concepts included Leibiz, Cantor, and Hausdorff, but it was Mandelbrot who coined the term "fractal" and brought greater attention to the field. One of the most basic and important fractals is the Mandelbrot set, which is a set of complex numbers that fulfill certain recursive conditions. Fractals can also be classified based on their level of self-similarity, from exact to statistical self-similarity. Fractals are found throughout nature and have applications in fields like astrophysics
This document provides an overview of abstract algebra and key concepts such as groups. It discusses how the word "algebra" is derived from an Arabian word meaning "union of broken parts." It also outlines important mathematicians who contributed to the development of algebra, such as Al Khwarizmi, the "father of algebra." The document defines what a set and group are, including the properties a group must satisfy like closure, associative, identity, and inverse elements. Examples of groups are given like integers, rational numbers, and matrices. Applications of group theory in fields like physics, chemistry, and technology are mentioned.
Eigen values and eigen vectors engineeringshubham211
mathematics...for engineering mathematics.....learn maths...............................The individual items in a matrix are called its elements or entries.[4] Provided that they are the same size (have the same number of rows and the same number of columns), two matrices can be added or subtracted element by element. The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second. Any matrix can be multiplied element-wise by a scalar from its associated field. A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x. For example, the rotation of vectors in three dimensional space is a linear transformation which can be represented by a rotation matrix R: if v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two transformation matrices is a matrix that represents the composition of two linear transformations. Another application of matrices is in the solution of systems of linear equations. If the matrix is square, it is possible to deduce some of its properties by computing its determinant. For example, a square matrix has an inverse if and only if its determinant is not zero. Insight into the geometry of a linear transformation is obtainable (along with other information) from the matrix's eigenvalues and eigenvectors.
Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to project a 3-dimensional image onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the PageRank algorithm that ranks the pages in a Google search.[5] Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions.
A major branch of numerical analysis is devoted to the development of efficient algorithms for matrix computations, a subject that is centuries old and is today an expanding area of research. Matrix decomposition methods simplify computations, both theoretically and practically. Algorithms that are tailored to particular matrix structures, such as sparse matrices and near-diagonal matrices, expedite computations in finite element method and other computations. Infinite matrices occur in planetary theory and in atomic theory. A simple example of an infinite matrix is the matrix representing the derivative operator, which acts on the Taylor series of a function
...
The document discusses integrating spreadsheets, visualization tools, and computational knowledge engines into a liberal arts calculus course. Students used Excel to work on calculus projects and analyze real-world data sets. They communicated their results in written reports that included evaluating their teammates' contributions. The projects aimed to develop students' technical skills while meeting liberal arts standards for written communication, grammar, and professional tone.
1. The determinant of a matrix summarizes the whole matrix and can be computed using cofactor expansions along rows or columns.
2. Elementary row operations such as interchanging rows, multiplying a row by a constant, or adding a multiple of one row to another do not change the determinant of a matrix.
3. A matrix is invertible if and only if its determinant is not equal to zero.
Theoretical base of mahematical educationdeeparavisai
Euclid of Alexandria was a Greek mathematician from the 4th century BC known as the "father of geometry". He compiled the mathematical knowledge of his time into a 13 volume work called "Euclid's Elements", which defined the principles of geometry. The Elements was used as the standard geometry textbook for over 2000 years and covered topics like triangles, parallels, proportions, irrationals, and solid geometry. Euclid also made contributions to number theory, proving that the number of prime numbers is infinite. His work had a profound and lasting impact on mathematics.
The document discusses the Gauss-Jordan elimination method for solving systems of linear equations. It involves transforming the augmented matrix of the system into reduced row echelon form using elementary row operations. The key steps are to turn the equations into an augmented matrix, use row operations to put the matrix in diagonal form with ones on the diagonal, and then divide elements to solve for the variables. An example problem demonstrates applying the Gauss-Jordan method to solve a system of three equations with three unknowns.
The document defines and discusses several key concepts relating to groups in abstract algebra:
- A group is defined as a non-empty set together with a binary operation that satisfies closure, associativity, identity, and inverse properties.
- An abelian (or commutative) group is one where the binary operation is commutative. Examples of abelian groups include integers under addition.
- The quaternion group is a non-abelian group of order 8 under multiplication.
- Theorems are presented regarding the uniqueness of identity and inverses in a group, as well as cancellation, reverse order, and inverse properties of groups.
This document discusses statistical mechanics and the distribution of energy among particles in a system. It provides 3 main types of statistical distributions based on the properties of identical particles: Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac statistics. Maxwell-Boltzmann statistics applies to distinguishable particles, while Bose-Einstein and Fermi-Dirac apply to indistinguishable particles (bosons and fermions respectively), with the key difference being that fermions obey the Pauli exclusion principle. The document also discusses applications of these distributions, including the Maxwell-Boltzmann distribution law for molecular energies in an ideal gas.
Description of Physics of Optics, part I.
Please send comments and suggestions for improvements to solo.hermelin@gmail.com. Thanks.
For more presentations in optics and other subjects please visit my website at http://www,solohermelin.com.
Merge sort is a sorting algorithm that uses a divide and conquer technique. It divides an array into halves, recursively sorts each half, and then merges the sorted halves into a single sorted array. John Von Neumann developed merge sort in 1945 for the EDVAC computer. Merge sort has a time complexity of O(n log n), making it one of the most efficient sorting algorithms.
This document defines basic set theory concepts including sets, elements, notation for sets, subsets, unions, intersections, and empty sets. It provides examples and notation for these concepts. Sets are collections of objects, represented with capital letters, while elements are individual objects represented with lowercase letters. Notation includes braces { } to list elements and vertical bars for set builder notation. A is a subset of B if all elements of A are also in B, written as A ⊆ B. The union of sets A and B contains all elements that are in A or B, written as A ∪ B. The intersection of sets A and B contains elements that are only in both A and B, written as A ∩ B.
There are three possible solutions to a system of linear equations in two variables:
One solution: the graphs intersect at a single point, giving the solution coordinates.
No solution: the graphs are parallel lines, making the system inconsistent.
Infinitely many solutions: the graphs are the same line, making the equations dependent.
The substitution method for solving systems involves: 1) solving one equation for a variable, 2) substituting into the other equation, 3) solving the new equation, and 4) back-substituting to find the remaining variable.
The document discusses symmetric groups and permutations. Some key points:
- A symmetric group SX is the group of all permutations of a set X under function composition.
- Sn, the symmetric group of degree n, represents permutations of the set {1,2,...,n}.
- Permutations can be written using cycle notation, such as (1 2 3) or (1 4).
- Disjoint cycles commute; the product of two permutations is their composition as functions.
- Any permutation can be written as a product of disjoint cycles of length ≥2. Cycles of even length decompose into an odd number of transpositions, and vice versa for odd cycles.
This document discusses simplifying radical expressions using the product, quotient, and power rules for radicals. It also covers adding, subtracting, multiplying, and dividing radicals. Rationalizing denominators is explained as well as solving radical equations. Key steps include isolating the radical term, squaring both sides to remove the radical, and checking solutions in the original equation.
The document describes an experiment to determine the separation between the plates of a Fabry Perot etalon. It provides background on the Fabry Perot interferometer and the principle of interference in the etalon. The experimental setup involves illuminating the etalon with a laser and measuring the angular diameters of interference fringes observed on a screen. By plotting the order of interference versus the cosine of the fringe angles and determining the slope, the separation between the etalon plates is calculated as approximately 2-3 mm, remaining constant despite varying the screen distance.
This document discusses computational physics. It begins with defining computational physics as the study and implementation of numerical algorithms and techniques to solve physics problems using computers. The purpose of the course is to demonstrate how computers can enable a deeper understanding of physics through vast calculations. There are two main scientific programming methods - using mathematical software packages or writing custom programs in languages like Fortran, C, or C++. Computational physics has applications in fields like accelerator physics, astrophysics, and plasma physics. It can simulate particle behavior, study astrophysical objects, and model plasma states.
SPECTRA OF ALKLI ELEMENT, SPIN ORBIT INTERACTION & FINE STRUCTER OF ALKLI SP...AnitaMalviya
The document discusses alkali metals, spin-orbit interaction, and the fine structure of alkali spectra. It first describes alkali metals as a group of reactive soft metals including lithium, sodium, potassium, rubidium, cesium, and francium. It then explains that spin-orbit interaction causes shifts in electron energy levels due to the interaction between an electron's spin and the magnetic field from its orbit around the nucleus. Finally, it discusses how spin-orbit coupling splits energy levels into substates, resulting in multiplets in spectra known as fine structure, with the splitting determined by the quantum numbers j, l, and s.
Fractals are irregular patterns that are self-similar across different scales. They are a branch of mathematics concerned with shapes found in nature that have non-integer dimensions. Some early contributors to fractal concepts included Leibiz, Cantor, and Hausdorff, but it was Mandelbrot who coined the term "fractal" and brought greater attention to the field. One of the most basic and important fractals is the Mandelbrot set, which is a set of complex numbers that fulfill certain recursive conditions. Fractals can also be classified based on their level of self-similarity, from exact to statistical self-similarity. Fractals are found throughout nature and have applications in fields like astrophysics
This document provides an overview of abstract algebra and key concepts such as groups. It discusses how the word "algebra" is derived from an Arabian word meaning "union of broken parts." It also outlines important mathematicians who contributed to the development of algebra, such as Al Khwarizmi, the "father of algebra." The document defines what a set and group are, including the properties a group must satisfy like closure, associative, identity, and inverse elements. Examples of groups are given like integers, rational numbers, and matrices. Applications of group theory in fields like physics, chemistry, and technology are mentioned.
Eigen values and eigen vectors engineeringshubham211
mathematics...for engineering mathematics.....learn maths...............................The individual items in a matrix are called its elements or entries.[4] Provided that they are the same size (have the same number of rows and the same number of columns), two matrices can be added or subtracted element by element. The rule for matrix multiplication, however, is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second. Any matrix can be multiplied element-wise by a scalar from its associated field. A major application of matrices is to represent linear transformations, that is, generalizations of linear functions such as f(x) = 4x. For example, the rotation of vectors in three dimensional space is a linear transformation which can be represented by a rotation matrix R: if v is a column vector (a matrix with only one column) describing the position of a point in space, the product Rv is a column vector describing the position of that point after a rotation. The product of two transformation matrices is a matrix that represents the composition of two linear transformations. Another application of matrices is in the solution of systems of linear equations. If the matrix is square, it is possible to deduce some of its properties by computing its determinant. For example, a square matrix has an inverse if and only if its determinant is not zero. Insight into the geometry of a linear transformation is obtainable (along with other information) from the matrix's eigenvalues and eigenvectors.
Applications of matrices are found in most scientific fields. In every branch of physics, including classical mechanics, optics, electromagnetism, quantum mechanics, and quantum electrodynamics, they are used to study physical phenomena, such as the motion of rigid bodies. In computer graphics, they are used to project a 3-dimensional image onto a 2-dimensional screen. In probability theory and statistics, stochastic matrices are used to describe sets of probabilities; for instance, they are used within the PageRank algorithm that ranks the pages in a Google search.[5] Matrix calculus generalizes classical analytical notions such as derivatives and exponentials to higher dimensions.
A major branch of numerical analysis is devoted to the development of efficient algorithms for matrix computations, a subject that is centuries old and is today an expanding area of research. Matrix decomposition methods simplify computations, both theoretically and practically. Algorithms that are tailored to particular matrix structures, such as sparse matrices and near-diagonal matrices, expedite computations in finite element method and other computations. Infinite matrices occur in planetary theory and in atomic theory. A simple example of an infinite matrix is the matrix representing the derivative operator, which acts on the Taylor series of a function
...
The document discusses integrating spreadsheets, visualization tools, and computational knowledge engines into a liberal arts calculus course. Students used Excel to work on calculus projects and analyze real-world data sets. They communicated their results in written reports that included evaluating their teammates' contributions. The projects aimed to develop students' technical skills while meeting liberal arts standards for written communication, grammar, and professional tone.
1. The determinant of a matrix summarizes the whole matrix and can be computed using cofactor expansions along rows or columns.
2. Elementary row operations such as interchanging rows, multiplying a row by a constant, or adding a multiple of one row to another do not change the determinant of a matrix.
3. A matrix is invertible if and only if its determinant is not equal to zero.
First part of description of Matrix Calculus at Undergraduate in Science (Math, Physics, Engineering) level.
Please send comments and suggestions to solo.hermelin@gmail.com.
For more presentations please visit my website at
http://www.solohermelin.com.
This document is the preface and contents for a set of notes on complex analysis. It was prepared by Charudatt Kadolkar for MSc students at IIT Guwahati in 2000 and 2001. The notes cover topics such as complex numbers, functions of complex variables, analytic functions, integrals, series, and the theory of residues and its applications. The contents section provides an outline of the chapters and topics to be covered.
Introduction to Mathematical ProbabilitySolo Hermelin
This is a lecture I've put together summarizing the topics of mathematical probability.
The presentation is at a Undergraduate in Science (Math, Physics, Engineering) level..
In the Upload Process a part of Figures and Equations are missing. For a better version of this presentation please visit my website at http://solohermelin.com at Math Folder and open Probability presentation.
Please feel free to comment and suggest improvements to solo.hermelin@gmail.com.Thanks!
On Occasion of 150 years celebration of Swami Vivekananda Chiefsworld brings you best quotes of Swami Vivekananda, for more powerpoints visit chiefsforum www.chiefsworld.activeboard.com
Complex Analysis - Differentiability and Analyticity (Team 2) - University of...Alex Bell
Presentation delivered by students at the University of Leicester on complex differentiablility and analyticity as part of the Complex Analysis module (third year).
Swami Vivekananda encourages taking responsibility for one's own destiny and living for the benefit of others. He emphasizes developing strength of character and believing in one's own power and divinity. True religion, according to Swami Vivekananda, is being good and doing good for others without expectations of rewards.
This document provides an outline for a course on complex analysis. It lists topics such as representation of complex numbers, complex functions, limits, continuity, differentiability, Cauchy-Riemann equations, analytic functions, entire functions, singularities, harmonic functions, harmonic conjugates, Cauchy's theorem, Cauchy's integral formula, Taylor series, Laurent series, singularities, residues, and improper integrals. The document was prepared by Anoop T, an assistant professor of mathematics at Heera College of Engineering and Technology in Thiruvananthapuram, Kerala, India.
This document provides a table of contents for a textbook on vector analysis. The table of contents covers topics including: vector algebra, reciprocal sets of vectors, vector decomposition, scalar and vector fields, differential geometry, integration of vectors, and applications of vector analysis to fields such as electromagnetism and fluid mechanics. Many mathematical concepts are introduced, such as vector spaces, differential operators, vector differentiation and integration, and theorems relating concepts like divergence, curl and gradient.
Presentation of the work on Prime Numbers.
intended for mathematics loving people.
Please send comments and suggestions for improvement to solo.hermelin@gmail.com.
More presentations can be found in my website at http://solohermelin.com.
This document contains 97 quotes by Swami Vivekananda on topics such as spirituality, religion, strength, love, and life. Some key ideas expressed are that true strength comes from within, focusing intensely on a single idea can lead to success, and serving others is the highest form of worship.
Mathematics and History of Complex VariablesSolo Hermelin
Mathematics of complex variables, plus history.
This presentation is at a Undergraduate in Science (Math, Physics, Engineering) level.
Please send comments and suggestions to solo.hermelin@gmail.com, thanks! For more presentations, please visit my website at http://www.solohermelin.com
The document discusses complex differentiability and analytic functions. It shows that for a function f(z) to be complex differentiable, the Cauchy-Riemann equations relating the partial derivatives of the real and imaginary parts must be satisfied. It also discusses representing functions as power series and their radii of convergence. Multivalued functions like logarithms and roots are discussed, noting the need for branch cuts to define single-valued branches.
This document provides a summary of the mineral wool (stone wool and glass wool) market in Belarus from 2012 to the first half of 2013. It analyzes total market volumes and breakdowns by type, brand, and other categories. The market is defined as including domestic production and imports, and excluding exports. Glass wool and stone wool markets are examined separately. Market volumes increased overall for both materials in the periods studied, with shifts observed between top brands for each category.
This document summarizes the experience of Python Dominicana in creating a developer community in the Dominican Republic. It discusses how they began by organizing biweekly meetups to discuss Python and creating a Google+ community page. They also organized after parties and road trips with other communities. The document outlines lessons learned, like starting with beginners and guiding speakers. It discusses their plans to connect with other communities, hold hackathons, and potentially organize hackerspaces and startups in the future to further grow the community.
Towards Secure Multi-network Video Services - Cable Congress 2015Verimatrix
At Cable Congress 2015, President Steve Oetegenn presented a keynote address on how cable operators can establish secure multi-network video services.
Multi-screen video service is now a critical aspect of the cable value proposition, with customers demanding access to traditional linear and personalized TV content on screens throughout the home. With the reach of mobile and WiFi bandwidth, this compelling service offering can potentially be more universally available, enabling the cable brand more globally for the consumer on the devices they use devices they use most frequently.
In making content available anywhere, the necessity for harmonized, robust rights management becomes ever more crucial. In this session, Steve explored considerations related to revenue security in a multi-network world, as the common thread of security is interwoven through the assembly of video delivery system architecture and components.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
How to Make a Field Mandatory in Odoo 17Celine George
In Odoo, making a field required can be done through both Python code and XML views. When you set the required attribute to True in Python code, it makes the field required across all views where it's used. Conversely, when you set the required attribute in XML views, it makes the field required only in the context of that particular view.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.