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04:2204:22, 5 June 2025 Neural Network (hist | edit) [3,999 bytes] Thakshashila (talk | contribs) (Created page with "= Neural Network = '''Neural Networks''' are a class of algorithms within Machine Learning and Deep Learning that are designed to recognize patterns. They are inspired by the structure and function of the biological brain and are used to approximate complex functions by learning from data. == Overview == A neural network consists of interconnected units (called '''neurons''' or '''nodes''') organized in layers. These layers process input data through weighted c...")
04:2104:21, 5 June 2025 Data Science (hist | edit) [3,648 bytes] Thakshashila (talk | contribs) (Created page with "= Data Science = '''Data Science''' is an interdisciplinary field that uses scientific methods, algorithms, and systems to extract knowledge and insights from structured and unstructured data. It integrates techniques from statistics, computer science, and domain-specific knowledge to turn raw data into actionable intelligence. == Overview == Data Science combines aspects of data analysis, machine learning, data engineering, and software development to address complex...")
04:2004:20, 5 June 2025 Deep Learning (hist | edit) [3,701 bytes] Thakshashila (talk | contribs) (Created page with "= Deep Learning = '''Deep Learning''' is a subfield of Machine Learning concerned with algorithms inspired by the structure and function of the brain, known as artificial neural networks. It is at the heart of many recent advances in Artificial Intelligence. == Overview == Deep learning models automatically learn representations of data through multiple layers of abstraction. These models excel at recognizing patterns in unstructured data such as images, audio,...")
04:2004:20, 5 June 2025 Artificial Intelligence (hist | edit) [3,871 bytes] Thakshashila (talk | contribs) (Created page with "= Artificial Intelligence = '''Artificial Intelligence (AI)''' is a branch of computer science that aims to create systems or machines that exhibit behavior typically requiring human intelligence. These behaviors include learning, reasoning, problem-solving, perception, language understanding, and decision-making. == Overview == Artificial Intelligence involves the design and development of algorithms that allow computers and software to perform tasks that would normal...")
04:1804:18, 5 June 2025 What is Machine Learning (hist | edit) [2,772 bytes] Thakshashila (talk | contribs) (Created page with "= What is Machine Learning = '''Machine Learning (ML)''' is a subfield of artificial intelligence (AI) that focuses on the development of systems that can learn from data and improve their performance over time without being explicitly programmed. == Overview == Machine Learning allows computers to recognize patterns, make decisions, and predict outcomes based on historical data. It contrasts with traditional programming, where rules and logic are manually coded. == T...")

04:5404:54, 24 May 2025 Problem: Find (A ∩ B) × (B ∩ C) (hist | edit) [1,102 bytes] Thakshashila (talk | contribs) (Created page with "= Problem: Find (A ∩ B) × (B ∩ C) = Given sets: <math>A = \{3, 5, 7\}</math> <math>B = \{7, 8\}</math> <math>C = \{8, 9\}</math> == Step 1: Find the Intersection A ∩ B == Intersection means elements common to both sets. Elements of A: 3, 5, 7 Elements of B: 7, 8 Common element is: <math>A \cap B = \{7\}</math> == Step 2: Find the Intersection B ∩ C == Elements of B: 7, 8 Elements of C: 8, 9 Common element is: <math>B \cap C = \{8\}</mat...")
04:4704:47, 24 May 2025 Ahmed Zewail (hist | edit) [2,182 bytes] Thakshashila (talk | contribs) (Created page with "= Ahmed Zewail - The Father of Femtochemistry = '''Ahmed Hassan Zewail''' (1946–2016) was an Egyptian-American scientist known as the Father of Femtochemistry. He won the '''Nobel Prize in Chemistry''' in 1999 for his pioneering work on observing chemical reactions at extremely fast timescales. == Early Life and Education == * Born in Damanhur, Egypt, in 1946 * Studied at Alexandria University in Egypt * Completed his PhD at the University of Pennsylvania, USA...")
04:4604:46, 24 May 2025 Antoine Lavoisier (hist | edit) [2,397 bytes] Thakshashila (talk | contribs) (Created page with "= Antoine Lavoisier - The Father of Modern Chemistry = '''Antoine Laurent Lavoisier''' (1743–1794) was a French chemist who is widely regarded as the Father of Modern Chemistry. He revolutionized chemistry by introducing a scientific and quantitative approach to studying matter and chemical reactions. == Early Life and Education == * Born in Paris, France, in 1743 * Educated in science and law, but devoted his life to chemistry * Known for using careful measurem...")
04:4404:44, 24 May 2025 Marie Curie (hist | edit) [2,428 bytes] Thakshashila (talk | contribs) (Created page with "= Marie Curie - The Pioneer of Radioactivity = '''Marie Curie''' (1867–1934) was a world-renowned scientist known for her groundbreaking work on '''radioactivity'''. She was the first woman to win a Nobel Prize, and the only person to win Nobel Prizes in two different scientific fields — Physics and Chemistry. == Early Life and Education == * Born as '''Maria Sklodowska''' in Warsaw, Poland (1867) * Moved to Paris to study at the University of Paris (Sorbonne)...")
04:2404:24, 24 May 2025 Cartesian Product (hist | edit) [2,633 bytes] Thakshashila (talk | contribs) (Created page with "= Cartesian Product - Definition, Explanation, and Examples = The '''Cartesian Product''' is an operation used in mathematics to combine two sets and form a new set made of ordered pairs. This concept is widely used in set theory, coordinate geometry, and computer science. == Definition == If <math>A</math> and <math>B</math> are two sets, the '''Cartesian product''' of <math>A</math> and <math>B</math> is the set of all ordered pairs where: - The first element is fr...")
04:2204:22, 24 May 2025 Cartesian Product of Two Sets (hist | edit) [2,387 bytes] Thakshashila (talk | contribs) (Created page with "= Cartesian Product of Two Sets - Definition and Step-by-Step Examples = The [[Cartesian Product]] of two sets is the set of all possible '''ordered pairs''' where the first element comes from the first set and the second element comes from the second set. == Definition == If <math>A</math> and <math>B</math> are two sets, then the Cartesian Product of <math>A</math> and <math>B</math>, denoted by <math>A \times B</math>, is defined as: <math> A \times B...")
04:1804:18, 24 May 2025 Ordered Pairs in set (hist | edit) [1,290 bytes] Thakshashila (talk | contribs) (Created page with "= Ordered Pairs - Definition and Examples = An '''ordered pair''' is a fundamental concept in mathematics used to represent two elements together with an order that matters. It is usually written as <math>(a, b)</math>, where <math>a</math> is called the '''first element''' and <math>b</math> is the '''second element'''. == Key Points == * Unlike sets, the order of elements in an ordered pair is important. * Two ordered pairs <math>(a, b)</math> and <math>(c, d)</ma...")
04:1604:16, 24 May 2025 De Morgan (hist | edit) [1,458 bytes] Thakshashila (talk | contribs) (Created page with "= Augustus De Morgan - Mathematician Behind De Morgan's Laws = '''Augustus De Morgan''' (1806–1871) was a British mathematician and logician known for his pioneering work in formalizing logic and mathematics. He is famous for formulating the laws that bear his name, called De Morgan's Laws, which are fundamental in set theory, logic, and computer science. == Early Life and Education == - Born in India in 1806, De Morgan moved to England at a young age. - H...")
04:1504:15, 24 May 2025 De Morgan’s Laws (hist | edit) [2,352 bytes] Thakshashila (talk | contribs) (Created page with "= De Morgan's Laws - Definition, Explanation, and Examples = '''De Morgan''''s laws are fundamental rules in set theory that describe the relationship between union, intersection, and complements of sets. They help simplify complex set expressions, especially involving complements. == Statements of De Morgan's Laws == Let <math>A</math> and <math>B</math> be two sets and <math>U</math> be the universal set. 1. The complement of the union of two sets is equal to t...")
04:0704:07, 24 May 2025 Distributive Law of Sets (hist | edit) [2,665 bytes] Thakshashila (talk | contribs) (Created page with "= Distributive Law of Sets - Definition, Explanation, and Examples = The '''distributive law''' shows how union and intersection operations distribute over each other. It is a key property in set theory that helps simplify expressions involving both operations. == Distributive Law of Intersection over Union == For any three sets <math>A</math>, <math>B</math>, and <math>C</math>: <math> A \cap (B \cup C) = (A \cap B) \cup (A \cap C) </math> This means the intersecti...")
03:5503:55, 24 May 2025 Associative Law of Sets (hist | edit) [2,423 bytes] Thakshashila (talk | contribs) (Created page with "= Associative Law of Sets - Definition, Explanation, and Examples = The '''associative law''' is a fundamental property of set operations which states that when performing the same operation multiple times, the grouping (or association) of sets does not affect the result. == Associative Law for Union == For any three sets <math>A</math>, <math>B</math>, and <math>C</math>: <math> (A \cup B) \cup C = A \cup (B \cup C) </math> This means that whether you first unite <...")
03:4703:47, 24 May 2025 Commutative law on sets (hist | edit) [1,666 bytes] Thakshashila (talk | contribs) (Created page with "= Commutative Law of Sets - Definition, Explanation, and Examples = The '''commutative law''' is an important property of some set operations, meaning the order in which we perform the operation does not affect the result. == Commutative Law for Union == For any two sets <math>A</math> and <math>B</math>, the union operation is commutative. This means: <math> A \cup B = B \cup A </math> In words, combining set <math>A</math> with set <math>B</math> is the same as co...")
03:4603:46, 24 May 2025 Complement of a Set (hist | edit) [3,299 bytes] Thakshashila (talk | contribs) (Created page with "= Complement of a Set - Definition, Explanation, and Examples = The '''complement''' of a set contains all elements that are not in the set but belong to a larger, universal set. It helps identify what is "outside" a given set within a specified context. == Definition of Complement == Let <math>U</math> be the universal set, which contains all elements under consideration. The complement of a set <math>A</math>, denoted by <math>A'</math> or <math>\overline{A}</math>,...")
03:4503:45, 24 May 2025 Difference of Sets (hist | edit) [2,523 bytes] Thakshashila (talk | contribs) (Created page with "= Difference of Sets - Definition, Explanation, and Examples = The '''difference''' of two sets is an operation that finds elements that belong to one set but not the other. It is also called the '''relative complement'''. == Definition of Difference == The difference of sets <math>A</math> and <math>B</math>, denoted by <math>A - B</math>, is the set of all elements that are in <math>A</math> but not in <math>B</math>. Mathematically: <math>A - B = \{ x : x \in A \...")
03:4403:44, 24 May 2025 Intersection of Sets (hist | edit) [2,287 bytes] Thakshashila (talk | contribs) (Created page with "= Intersection of Sets - Definition, Explanation, and Examples = The '''intersection''' of two sets is an important set operation that finds all elements common to both sets. == Definition of Intersection == The intersection of two sets <math>A</math> and <math>B</math> is the set containing all elements that are in both <math>A</math> and <math>B</math>. It is denoted by: <math>A \cap B</math> Mathematically: <math>A \cap B = \{ x : x \in A \text{ and } x \in B \}...")
03:4303:43, 24 May 2025 Union of Sets (hist | edit) [2,662 bytes] Thakshashila (talk | contribs) (Created page with "= Union of Sets - Definition, Explanation, and Examples = The '''union''' of two sets is a fundamental operation in set theory. It combines all the elements from both sets into one set without repeating any element. == Definition of Union == The union of two sets <math>A</math> and <math>B</math> is the set containing all elements that belong to either <math>A</math>, or <math>B</math>, or both. It is denoted by: <math>A \cup B</math> Mathematically: <math>A \cup B...")
03:4203:42, 24 May 2025 Operations on sets (hist | edit) [1,772 bytes] Thakshashila (talk | contribs) (Created page with "= Operations on Sets - Overview and Basic Definitions = '''Operations on sets''' are procedures that combine or modify sets to form new sets. They are fundamental in set theory and are widely used in mathematics, computer science, and logic. == Basic Set Operations == Here are the most common operations on sets with brief explanations: * '''Union (∪)''': The union of two sets <math>A</math> and <math>B</math> is the set of all elements that are in <math>A</math> or...")

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