User contributions for Thakshashila

03:3403:34, 24 May 2025 diff hist +2,546 N Equal Sets Created page with "= Equal Sets - Definition and Examples= In set theory, '''equal sets''' are sets that contain the '''exact same elements'''. The order of elements or how they are written does not matter, only the content does. == Definition of Equal Sets == Two sets A and B are said to be '''equal''' if they have '''exactly the same elements'''. This means every element of set A is in set B, and every element of set B is in set A. * Mathematically: <math>A = B \iff (x \in A \Rightar..."
03:3403:34, 24 May 2025 diff hist +2,313 N Singleton Set Created page with "= Singleton Set - Definition and Examples = A '''singleton set''' is a special type of set that contains '''only one element'''. It is the smallest possible non-empty set in set theory. == Definition of a Singleton Set == A set that has '''exactly one element''' is called a '''singleton set'''. It is also known as a '''unit set'''. * In mathematical notation: <math>A = \{a\}</math> is a singleton set, because it contains only one element, '''a'''. == Characteristics..." current
03:3303:33, 24 May 2025 diff hist +2,604 N Empty Set Created page with "= Empty Set (Null Set) - Definition and Examples = The '''empty set''', also known as the '''null set''', is one of the most basic and important concepts in set theory. It refers to a set that '''contains no elements'''. It is often the starting point for understanding how sets behave. == Definition of Empty Set == An '''empty set''' is a set that has '''no elements''' in it. It is represented by: * <math>\emptyset</math> (the Greek letter phi) * or <math>\{\}</math..." current
03:3203:32, 24 May 2025 diff hist −12 Introduction to Set theory →Types of Sets current
03:3103:31, 24 May 2025 diff hist +6 Introduction to Set theory →Types of Sets
03:3003:30, 24 May 2025 diff hist +2,917 N Infinite Set Created page with "= Infinite Set - Definition, Examples and Comparison = An '''infinite set''' is a set that contains an '''unlimited or uncountable number of elements'''. Unlike finite sets, infinite sets cannot be completely listed because they go on forever. == Definition of an Infinite Set == A set is called an '''infinite set''' if the number of its elements is '''not countable'''. In other words, it is impossible to list all the elements of the set completely, as they continue i..." current
03:2903:29, 24 May 2025 diff hist +2,792 N Finite Set Created page with "= Finite Set - Definition, Examples and Properties = A '''finite set''' is a type of set in mathematics that contains a '''countable number of distinct elements'''. This means the number of elements in the set is '''limited''' or '''fixed'''. Set theory often begins with understanding the concept of finite and infinite sets. == Definition of a Finite Set == A set is called a '''finite set''' if the number of elements in the set is '''countable''' and the process of li..." current
03:2903:29, 24 May 2025 diff hist −4 Introduction to Set theory →Types of Sets
03:2503:25, 24 May 2025 diff hist +3,132 N Introduction to Set theory Created page with "= Introduction to Set Theory = Set theory is a fundamental topic in mathematics that deals with the study of '''sets''', which are collections of '''distinct''' and '''well-defined objects'''. It is the foundation for many advanced topics in mathematics and logic. == What is a Set? == A '''set''' is a collection of objects, called '''elements''' or '''members''', that are grouped together because they share a common property. * Example: A set of vowels in the English..."

08:0908:09, 23 May 2025 diff hist −127 Matrix Addition →✅ Final Answer current
08:0908:09, 23 May 2025 diff hist +17 m Matrix Addition →✅ Final Answer
08:0808:08, 23 May 2025 diff hist +15 m Matrix Addition →✅ Final Answer
08:0808:08, 23 May 2025 diff hist −8 Matrix Addition →✅ Final Answer
08:0708:07, 23 May 2025 diff hist +635 Matrix Addition No edit summary
08:0508:05, 23 May 2025 diff hist +1,564 N Matrix Addition Created page with "= Matrix Addition = Matrix addition is the process of adding two matrices of the '''same dimensions''' by adding their corresponding elements. == Conditions for Matrix Addition == Two matrices can be added only if they have the same number of rows and the same number of columns. For example, if: * Matrix A is of order 2×3 * Matrix B must also be of order 2×3 to be added to A == Rule for Addition == If: <math> A = [a_{ij}], \quad B = [b_{ij}] </math> Then: <math>..."
08:0308:03, 23 May 2025 diff hist +2,180 N Matrix Created page with "= Matrix and Its Types = A '''matrix''' is a rectangular arrangement of numbers, symbols, or expressions, organized in rows and columns. It is usually enclosed in square brackets like this: <math> A = \begin{bmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{m1} & a_{m2} & \cdots & a_{mn} \end{bmatrix} </math> where <math>m</math> is the number of rows and <math>n</math> is the number of columns...." current
08:0208:02, 23 May 2025 diff hist +1,977 N Basics of Calculus Created page with "= Basics of Calculus = '''Calculus''' is a branch of mathematics that studies how things change. It helps us understand motion, growth, and areas under curves. Calculus is divided mainly into two parts: '''Differential Calculus''' and '''Integral Calculus'''. == Differential Calculus == Differential Calculus focuses on the concept of the '''derivative''', which represents the rate at which a quantity changes. For example, it tells us how fast a car is moving at any in..." current
07:5907:59, 23 May 2025 diff hist −4 Main Page No edit summary
07:5907:59, 23 May 2025 diff hist −3 m Main Page →Welcome to Qbase
07:5807:58, 23 May 2025 diff hist 0 N File:Kbaselogo.png No edit summary current
07:5307:53, 23 May 2025 diff hist +5 Main Page →Welcome to Qbase
07:5207:52, 23 May 2025 diff hist +86 Main Page →Welcome to Qbase
07:5207:52, 23 May 2025 diff hist +1,019 Main Page No edit summary
07:5107:51, 23 May 2025 diff hist −702 m Main Page →🎓 Our Mission
07:5007:50, 23 May 2025 diff hist +726 m Main Page No edit summary
07:4807:48, 23 May 2025 diff hist −13 Main Page →Welcome to Your Wiki Name
07:4707:47, 23 May 2025 diff hist +1,470 Main Page No edit summary
07:3807:38, 23 May 2025 diff hist +3,222 N Michael Faraday Created page with "= Michael Faraday = '''Michael Faraday''' (22 September 1791 – 25 August 1867) was an English scientist who made foundational contributions to the fields of '''electromagnetism''' and '''electrochemistry'''. Though largely self-taught, Faraday is regarded as one of the greatest experimental physicists in history. == Early Life and Education == Faraday was born into a poor family in Newington Butts, now part of South London. He had little formal education and worked..." current
07:3407:34, 23 May 2025 diff hist +3,465 N James Clerk Maxwell Created page with "= James Clerk Maxwell = '''James Clerk Maxwell''' (13 June 1831 – 5 November 1879) was a Scottish physicist and mathematician who made profound contributions to the field of electromagnetism, thermodynamics, and optics. He is best known for formulating the set of equations that describe classical electromagnetism, known today as '''Maxwell's Equations'''. == Early Life and Education == Maxwell was born in Edinburgh, Scotland. From an early age, he demonstrated a str..." current
07:3007:30, 23 May 2025 diff hist +2,642 N Ampère-Maxwell Law: Created page with "= Ampère-Maxwell Law = The '''Ampère-Maxwell Law''' is one of the four equations in the set of '''Maxwell's Equations''', which form the foundation of classical electrodynamics. It is a generalization of Ampère's Law, accounting for the contribution of the changing electric field to the magnetic field. == Statement of the Law == In differential form, the Ampère-Maxwell Law is expressed as: <math> \nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \..." current
07:2807:28, 23 May 2025 diff hist +2,945 N Faraday's Law of Induction: Created page with "= Faraday's Law of Induction: Definition and Mathematical Representation = == Introduction == '''Faraday’s Law of Electromagnetic Induction''' is a fundamental principle of electromagnetism discovered by Michael Faraday. It describes how a changing magnetic field within a closed loop induces an electromotive force (EMF) in the conductor. This principle is the working mechanism behind electric generators, transformers, and inductors. == Statement of Faraday’s Law ==..." current
07:2507:25, 23 May 2025 diff hist +2,698 N Gauss's Law (Magnetic): Created page with "= Gauss's Law (Magnetic): Definition and Mathematical Representation = == Introduction == '''Gauss’s Law for Magnetism''' is one of the four fundamental Maxwell's Equations in electromagnetism. It states that the total magnetic flux through any closed surface is zero, implying that magnetic monopoles do not exist (i.e., every magnetic field line that enters a surface also exits it). == Mathematical Formulation == === Integral Form === <math> \oint_{\text{closed..." current
07:2407:24, 23 May 2025 diff hist +3,084 N Gauss's Law (Electric): Created page with "= Gauss's Law (Electric): Definition and Mathematical Representation = == Introduction == '''Gauss’s Law''' is a fundamental law in electrostatics that relates the electric flux through a closed surface to the total electric charge enclosed by that surface. It is one of the four equations in Maxwell's Equations and provides a powerful method for calculating electric fields, especially with high symmetry. == Mathematical Formulation == === Integral Form === <math..." current
07:1807:18, 23 May 2025 diff hist +3,240 N Electromagnetism Created page with "= Electromagnetism: Definition and Mathematical Representation = == Introduction == '''Electromagnetism''' is a fundamental branch of physics that deals with the study of electric and magnetic fields and their interactions with matter. It is one of the four fundamental forces of nature and is described by the unified theory of electricity and magnetism, primarily governed by Maxwell’s equations. Electromagnetic phenomena are the basis for many modern technologies inc..." current
07:1507:15, 23 May 2025 diff hist +3,213 N Quantum Created page with "= Quantum: Definition and Mathematical Representation = == Introduction == In physics, the term '''quantum''' refers to the smallest possible discrete unit of any physical property. The concept originates from '''quantum mechanics''', a fundamental theory that describes the behavior of matter and energy on atomic and subatomic scales. The term "quantum" (plural: "quanta") was first introduced in the early 20th century to explain phenomena that classical physics could n..." current
07:1507:15, 23 May 2025 diff hist 0 Wave No edit summary current
07:1407:14, 23 May 2025 diff hist +3,018 N Wave Created page with "= Wave: Definition and Mathematical Representation = == Introduction == In physics, a '''wave''' is a disturbance or oscillation that travels through space and matter, transferring energy from one point to another without the permanent displacement of the medium. Waves are classified into different types based on the direction of particle motion and the medium through which they propagate. == Types of Waves == === 1. Mechanical Waves === Require a medium to propagate...."
07:1207:12, 23 May 2025 diff hist +2,572 N Time Created page with "= Time: Definition and Mathematical Representation = == Introduction == '''Time''' is a fundamental scalar quantity in physics used to sequence events, compare durations, and quantify the interval between them. It is one of the base quantities in the International System of Units (SI), playing a central role in classical mechanics, relativity, thermodynamics, and quantum theory. == Definition == Time is often considered the continuous progression of existence and even..." current
07:1007:10, 23 May 2025 diff hist −10 m Scalar (physics) →See Also current
07:1007:10, 23 May 2025 diff hist −10 Scalar (physics) →See Also
07:0907:09, 23 May 2025 diff hist +2,365 N Scalar (physics) Created page with "= Scalar (Physics): Definition and Mathematical Representation = == Introduction == In physics, a '''scalar''' is a quantity that is fully described by a single numerical value (magnitude) and has no direction. Scalars are used to measure and represent physical properties that do not depend on orientation in space. Scalars contrast with vectors, which require both magnitude and direction for complete description. == Definition == A scalar quantit..."
07:0807:08, 23 May 2025 diff hist +3,002 N Vector (physics) Created page with "= Vector (Physics): Definition and Mathematical Representation = == Introduction == In physics, a '''vector''' is a quantity that has both '''magnitude''' and '''direction'''. Vectors are essential in describing physical phenomena such as displacement, velocity, acceleration, force, and momentum. Unlike scalars, which are described by a single value, vectors are represented by arrows whose length corresponds to magnitude and whose orientation indicates direction. == D..." current
07:0707:07, 23 May 2025 diff hist −4 Displacement →Characteristics current
07:0607:06, 23 May 2025 diff hist +2,635 N Displacement Created page with "= Displacement: Definition and Mathematical Representation = == Introduction == '''Displacement''' is a fundamental concept in physics and kinematics. It represents the change in the position of an object from its initial point to its final point. Displacement is a '''vector quantity''', meaning it has both magnitude and direction. It differs from '''distance''', which only considers how much ground an object has covered, regardless of direction. == Definition == Mat..."
07:0507:05, 23 May 2025 diff hist +2,099 N Distance Created page with "= Distance: Definition and Mathematical Representation = == Introduction == '''Distance''' is a basic concept in kinematics and everyday measurements. It refers to the total length of the path traveled by an object during motion. Distance is a '''scalar quantity''', meaning it has magnitude but no direction. It is always a non-negative value and differs from '''displacement''', which is a vector. == Definition == Mathematically, distance is represented as the total p..." current
07:0407:04, 23 May 2025 diff hist +2,048 N Speed Created page with "= Speed: Definition and Mathematical Representation = == Introduction == '''Speed''' is a fundamental concept in kinematics that refers to how fast an object is moving, regardless of its direction. Unlike velocity, speed is a '''scalar quantity''', meaning it has magnitude but no direction. Speed helps us understand how quickly an object covers distance over time. == Definition == The instantaneous speed is the magnitude of the velocity vector: <math> \text{Speed} =..." current
07:0107:01, 23 May 2025 diff hist +2,347 N Velocity Created page with "= Velocity: Definition and Mathematical Representation = == Introduction == '''Velocity''' is a fundamental concept in physics that describes the rate at which an object changes its position with respect to time. Unlike speed, velocity is a '''vector quantity'''—it has both magnitude and direction. Velocity is essential in kinematics, dynamics, and many real-world applications such as vehicle motion, projectile paths, and orbital mechanics. == Definition == The ins..." current
06:5406:54, 23 May 2025 diff hist +2,095 N Power Created page with "= Power: Definition and Mathematical Representation = == Introduction == '''Power''' in physics is the rate at which work is done or energy is transferred. It quantifies how quickly energy is used, converted, or transmitted over time. Power is a scalar quantity and is crucial in both mechanical and electrical systems. == Definition == Mathematically, power is defined as the work done per unit time: <math> P = \frac{W}{t} </math> Where: * <math>P</math> is the power,..." current
06:5306:53, 23 May 2025 diff hist +2,445 N Work Created page with "= Work: Definition and Mathematical Representation = == Introduction == In physics, '''work''' refers to the energy transferred to or from an object via the application of force along a displacement. Work is a scalar quantity and depends on both the magnitude of the force and the displacement, as well as the angle between them. Work links force and energy, making it one of the foundational concepts in classical mechanics. == Definition == The mathematical definition o..." current
06:5306:53, 23 May 2025 diff hist +2,493 N Energy Created page with "= Energy: Definition and Mathematical Representation = == Introduction == '''Energy''' is a fundamental physical quantity that describes the capacity to perform work or produce change. It exists in many forms such as kinetic, potential, thermal, chemical, and nuclear energy. Energy is a conserved quantity—meaning it cannot be created or destroyed, only transformed from one form to another. == Definition == In physics, energy is commonly defined through the work-energ..." current

User contributions for Thakshashila

24 May 2025

23 May 2025