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Combined display of all available logs of Department of Mathematics at UTSA. You can narrow down the view by selecting a log type, the username (case-sensitive), or the affected page (also case-sensitive).
(newest | oldest) View (newer 100 | older 100) (20 | 50 | 100 | 250 | 500)- 16:34, 10 February 2023 User account Spalding.garakani talk contribs was created by Juan.gutierrez3 talk contribs
- 14:51, 16 December 2022 Juan.gutierrez3 talk contribs created page MAT2313 (Created page with "Foundations of Mathematics (3-0) 3 Credit Hours ==Course Catalog== 3 Credit Hours. Corequisite: MAT1224. Permutations, combinations, multinational coefficients, inclusion...")
- 11:57, 6 February 2022 Khanh talk contribs created page Measurement (AREA) (Created page with "right|thumb|alt=Three shapes on a square grid|The combined area of these three shapes is approximately 15.57 squares. '''Area''' is the quantity that expres...")
- 21:48, 5 February 2022 Khanh talk contribs created page Mathematical & Statistical Reasoning (Created page with "'''Statistical inference''' is the process of using data analysis to infer properties of an underlying distribution of probability. '''Inferential statistical analysis''' infe...")
- 13:17, 5 February 2022 Khanh talk contribs created page Number Systems, Base 10, 5 and 2 (Created page with "264px|thumb|right|Numbers written in different numeral systems. A '''numeral system''' (or '''system of numeration''') is a writin...")
- 21:23, 4 February 2022 Khanh talk contribs created page Problem Solving Introduction (Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Base_ten_block Base ten block, Wikipedia] under a CC BY-SA license https://en.wikipedi...")
- 16:37, 29 January 2022 Khanh talk contribs created page Linear Transformations (Created page with "==Linear Transformations== <blockquote style="background: white; border: 1px solid black; padding: 1em;"> :'''Definition:''' A transformation <math>T: \mathbb{R}^n \to \mathb...")
- 14:11, 29 January 2022 Khanh talk contribs created page Orthogonal Transformations and Orthogonal Matrices (Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Orthogonal_transformation Orthogonal transformation, Wikipedia] under a CC BY-SA licens...")
- 13:43, 29 January 2022 Khanh talk contribs created page Cramer's Rule (Created page with "In linear algebra, '''Cramer's rule''' is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system ha...")
- 15:12, 23 January 2022 Khanh talk contribs created page Completeness (Created page with "'''Completeness''' and related ideas inherently assume the notion of 'distance'. Hence, throughout this chapter, we will be dealing only with metric spaces. ===Definition===...")
- 13:23, 23 January 2022 Khanh talk contribs created page Subspaces of Metric Spaces (Created page with "{{Redirect|Induced topology|the topology generated by a family of functions|Initial topology}} In topology and related areas of mathematics, a '''subspace''' of a t...")
- 13:14, 23 January 2022 Khanh talk contribs created page Cartesian Products of Metric Spaces (Created page with "In mathematics, a '''product metric''' is a metric on the Cartesian product of finitely many metric spaces <math>(X_1,d_{X_1}),\ldots,(X_n,d_{X_n})</math> which metrizes the p...")
- 12:55, 23 January 2022 Khanh talk contribs created page Continuous Mappings Between Metric Spaces (Created page with "== An Open Set == ===Definition=== A set is said to be '''open''' in a metric space if it equals its interior (<math> A = Int(A)</math>). When we encounter topological spaces...")
- 15:27, 12 January 2022 Khanh talk contribs created page The Definition of the Limit of a Function (Created page with "In mathematics, the '''limit of a function''' is a fundamental concept in calculus and analysis concerning the behavior of that Function (m...")
- 15:11, 12 January 2022 Khanh talk contribs created page Functions:Range (Created page with "In mathematics, the '''range of a function''' may refer to either of two closely related concepts: * The codomain of the function * The image of the function Given two sets...")
- 14:28, 12 January 2022 Khanh talk contribs created page Derivative Properties (Created page with "This is a summary of '''differentiation rules''', that is, rules for computing the derivative of a function in calculus. == Elementary rules of differentiation == Unless oth...")
- 16:17, 11 January 2022 Khanh talk contribs created page Vectors, Matrices, and Gauss-Jordan Elimination (Created page with " File:Matris.png|thumb|An {{math|''m'' × ''n''}} matrix: the {{math|''m''}} rows are horizontal and the {{math|''n''}} columns are vertical. Each element of a matrix i...")
- 16:52, 9 January 2022 Khanh talk contribs created page Continuity and Gauges (Created page with "= Continuity = The integral form of the continuity equation states that: * The amount of {{math|''q''}} in a region increases when additional {{math|''q''}} flows inward thro...")
- 16:38, 9 January 2022 Khanh talk contribs created page Derivatives (Created page with " ==What is Differentiation?== Differentiation is a process of finding a function that outputs the '''rate of change''' of one variable with respect to another variable. Infor...")
- 12:07, 9 January 2022 Khanh talk contribs created page Abstract Algebra: Homomorphisms (Created page with "In algebra, a '''homomorphism''' is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The wor...")
- 11:50, 9 January 2022 Khanh talk contribs created page Cognitive Guided Instruction (Created page with " thumb|primary/elementary mathematics symbols '''Elementary arithmetic''' is the simplified portion of arithmetic that includes the operat...")
- 23:47, 8 January 2022 Khanh talk contribs created page Base 10, Base 2 & Base 5 (Created page with "In a positional numeral system, the '''radix''' or '''base''' is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal...")
- 18:24, 8 January 2022 Khanh talk contribs created page Whole numbers subtraction models and properties (Created page with "right|thumb|180px|"5 − 2 = 3" (verbally, "five minus two equals three") '''Subtraction''' is an arithmetic operation that represents the operation...")
- 18:05, 8 January 2022 Khanh talk contribs created page Whole numbers addition models and properties (Created page with "right|thumb|120px|3 + 2 = 5 with apples, a popular choice in textbooks '''Addition''' (usually signified by the plus symbol +) is one of the four basic...")
- 17:31, 8 January 2022 Khanh talk contribs created page Whole numbers division models and properties (Created page with "In arithmetic, '''long division''' is a standard division algorithm suitable for dividing multi-digit Arabic numerals (Positional notation) that is simple enough to perform by...")
- 16:42, 8 January 2022 Khanh talk contribs created page Whole numbers multiplication models and properties (Created page with "thumb|right|Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). File:Multiply scaling.svg|thumb|right|Multiplicat...")
- 15:50, 8 January 2022 Khanh talk contribs created page Multiplication and division of integers (Created page with "== Multiplication of Integers == :<math>N\times M</math> is the sum of ''N'' copies of ''M'' when ''N'' and ''M'' are positive whole numbers. This gives the number of things...")
- 14:57, 8 January 2022 Khanh talk contribs created page Division Algorithms (Created page with "thumb|20 / 4 = 5, illustrated here with apples. This is said verbally, "Twenty divided by four equals five." '''Division''' is one of the four basic...")
- 13:38, 8 January 2022 Khanh talk contribs created page Multiplication Algorithms (Created page with "thumb|right|Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). File:Multiply scaling.svg|thumb|right|Multiplicat...")
- 23:14, 7 January 2022 Khanh talk contribs created page Subtraction Algorithms (Created page with "right|thumb|180px|"5 − 2 = 3" (verbally, "five minus two equals three") <div class="tright">{{Arithmetic operations}}</div> File:Shop placard sh...")
- 22:50, 7 January 2022 Khanh talk contribs created page Addition and subtraction of integers (Created page with "== Addition Integers == The simplest conception of an integer is that it consists of an absolute value (which is a natural number) and a sign (gene...")
- 17:16, 7 January 2022 Khanh talk contribs created page Addition Algorithms (Created page with "right|thumb|120px|3 + 2 = 5 with apples, a popular choice in textbooks '''Addition''' (usually signified by the plus symbol {{char|+}}) is one of the f...")
- 14:50, 7 January 2022 Khanh talk contribs created page Fractions meaning and models (Created page with "thumb|A cake with one quarter (one fourth) removed. The remaining three fourths are shown by dotted lines and labeled by the fraction {{sfrac|1|4}}....")
- 16:10, 5 January 2022 Khanh talk contribs created page Number Theory (Created page with "File:Spirale Ulam 150.jpg|thumb|250x250px|The distribution of prime numbers is a central point of study in number theory. This Ulam spiral serves to illustrate it, hinting,...")
- 15:42, 5 January 2022 Khanh talk contribs created page The Structure of Groups (Created page with "thumb|The popular puzzle Rubik's cube invented in 1974 by Ernő Rubik has been used as an illustration of permutation groups. In mathematics and ab...")
- 18:56, 19 December 2021 Khanh talk contribs created page Normal Subgroups and Factor Groups (Created page with "In abstract algebra, a '''normal subgroup''' (also known as an '''invariant subgroup''' or '''self-conjugate subgroup''') is a subgroup that is invariant under conjugation by...")
- 18:31, 19 December 2021 Khanh talk contribs created page Integral Domains (Created page with "In mathematics, specifically abstract algebra, an '''integral domain''' is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral dom...")
- 16:50, 19 December 2021 Khanh talk contribs created page Polynomials (Created page with "In mathematics, especially in the field of algebra, a '''polynomial ring''' or '''polynomial algebra''' is a ring (which is also a commutative...")
- 00:06, 19 December 2021 Khanh talk contribs created page Rings (Created page with " {{Ring theory sidebar}} In mathematics, '''rings''' are algebraic structures that generalize fields: multiplication need not be commutativ...")
- 11:44, 18 December 2021 Khanh talk contribs created page Homomorphisms (Created page with "In algebra, a '''homomorphism''' is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The wor...")
- 01:07, 18 December 2021 Khanh talk contribs created page Isomorphisms (Created page with "In mathematics, an '''isomorphism''' is a structure-preserving mapping between two structures of the same type that can be...")
- 22:02, 17 December 2021 Khanh talk contribs created page Display of Numerical Data (Created page with "https://en.wikipedia.org/wiki/List_of_graphical_methods https://en.wikipedia.org/wiki/Statistical_graphics")
- 21:31, 17 December 2021 Khanh talk contribs created page Display of Categorical Data (Created page with "== Categorical variable == In statistics, a '''categorical variable''' (also called '''qualitative variable''') is a variable that can take on one of a limited, and usually f...")
- 15:47, 16 December 2021 Khanh talk contribs created page Measurement (AREA) – CONVERSION (Created page with "===Area=== {| class="wikitable" |+ Area !Name of unit !Symbol !Definition !Relation to SI units |- | acre (international) || ac | ≡ {{nowrap|1 ch × 10...")
- 14:26, 16 December 2021 Khanh talk contribs created page Measurement (LINEAR) – CONVERSION (Created page with "{{short description|Comparison of various scales}} '''Conversion of units''' is the conversion between different units of measurement for the same quantity, typically...")
- 14:02, 16 December 2021 Khanh talk contribs created page Measurement (LINEAR) (Created page with "thumb|A typical tape measure with both metric and imperial units and two US pennies for comparison '''Measurement''' is the quantification...")
- 13:14, 15 December 2021 Khanh talk contribs created page Perimeter Area (Created page with "right|thumb|alt=Three shapes on a square grid|The combined area of these three shapes is approximately 15.57 squares. '''Area''' is the quantity that expres...")
- 01:29, 15 December 2021 Khanh talk contribs created page Rigid Transformations (Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Rigid_transformation Rigid transformation, Wikipedia] under a CC BY-SA license")
- 01:09, 15 December 2021 Khanh talk contribs created page Area of Polygons - Formulas (Created page with "== Area of Polygons == File:ParallelogramArea.svg|thumb|180px|alt=A diagram showing how a parallelogram can be re-arranged into the shape of a rectangle|A parallelogram can...")
- 18:58, 12 December 2021 Khanh talk contribs created page Symmetry (Created page with "thumb|A drawing of a butterfly with [[bilateral symmetry, with left and right sides as mirror images of each other.]] In geometry, an objec...")
- 18:40, 12 December 2021 Khanh talk contribs created page Similarity (Created page with "thumb|upright=0.75|Similar figures In Euclidean geometry, two objects are '''similar''' if they have the same shape, or one has the same shape as the...")
- 17:52, 12 December 2021 Khanh talk contribs created page Definitions and Hierarchy of Quadrilaterals (Created page with "A '''quadrilateral''' is a polygon in Euclidean plane geometry with four edges (sides) and four vertices (corners). Other names for quadrilateral include '''quadrangle''' (in...")
- 16:40, 12 December 2021 Khanh talk contribs created page Triangle Congruence (Created page with "File:Congruent non-congruent triangles.svg|thumb|Congruent non-congruent triangles|An example of congruence. The two triangles on the left are congruent, while the third is...")
- 14:52, 12 December 2021 Khanh talk contribs created page Transversal lines (Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikipedia.org/wiki/Transversal_(geometry)] under a CC BY-SA license")
- 01:24, 12 December 2021 Khanh talk contribs created page Lines & Angles (Created page with " 290px|thumb|The red and blue lines on this graph have the same [[Slope|slope (gradient); the red and green lines have the same y-intercept (c...")
- 01:04, 12 December 2021 Khanh talk contribs created page Classifying Triangles (Created page with "The terminology for categorizing triangles is more than two thousand years old, having been defined on the very first page of Euclid's Elements. The names used for modern clas...")
- 00:27, 12 December 2021 Khanh talk contribs created page Theorem of Right Triangles (Created page with "==Right triangles== '''Right triangles''' are [[../Triangle|triangle]]s in which one of the interior angles is 90<sup>o</sup>. A 90<sup>o</sup> angle is called a '''right a...")
- 00:03, 12 December 2021 Khanh talk contribs created page Properties of Polygons (Sides, Angles and Diagonals) (Created page with "== Angles== thumb|Winkelsumme-polygon|Partitioning an n-gon into n − 2 triangles Any polygon has as many corners as it has sides. Each corne...")
- 18:53, 11 December 2021 Khanh talk contribs created page Definition of Polygons (Created page with "File:Assorted polygons.svg|Assorted polygons|Some polygons of different kinds: open (excluding its boundary), boundary only (excluding interior), closed (including both boun...")
- 18:35, 11 December 2021 Khanh talk contribs created page Models and basic operation with decimals (Created page with "=Decimals= '''Decimals''' are basically fractions expressed without a denominator, rather replaced by a ''power of ten'', and then the decimal point is inserted into the numer...")
- 16:59, 11 December 2021 Khanh talk contribs created page Real Numbers (Rational vs. Irrational Numbers) (Created page with "= Rational number = File:Number-systems.svg|thumb|The rational numbers (<math>\mathbb{Q}</math>) are included in the real numbers (<math>\mathbb{R}</math>), while themselves...")
- 16:10, 11 December 2021 Khanh talk contribs created page Multiplication and division of fractions (Created page with "== Multiplying Fractions == Multiplying fractions is very easy. Simply multiply the numerators of the fractions to find the numerator of the answer. Then multiply the denomina...")
- 16:00, 11 December 2021 Khanh talk contribs created page Addition and subtraction of fractions (Created page with "== Adding Fractions == === Adding Fractions With The Same Denominator === In order to add fractions with the same denominator, you only need to add the numerators while keepi...")
- 15:52, 11 December 2021 Khanh talk contribs created page Divisibility Tests (Created page with "Divisibility rules of whole numbers are very useful because they help us to quickly determine if a number can be divided by 2, 3, 4, 5, 9, and 10 without doing long division....")
- 15:00, 11 December 2021 Khanh talk contribs created page Divisibility (Created page with "A '''divisibility rule''' is a shorthand and useful way of determining whether a given integer is divisible by a fixed divisor without performing the division, usually by exam...")
- 11:52, 11 December 2021 Khanh talk contribs created page Exponents (Created page with "== Licensing == Content obtained and/or adapted from: * [https://en.wikibooks.org/wiki/Algebra/Exponents Exponents, Wikibooks: Algebra] under a CC BY-SA license * [https://en...")
- 01:51, 11 December 2021 Khanh talk contribs created page LCM & GCD (Created page with "= Least common multiple = File:Symmetrical_5-set_Venn_diagram_LCM_2_3_4_5_7.svg|thumb|250px|A Venn diagram showing the least common multiples of combinations of 2, 3, 4, 5 a...")
- 01:34, 11 December 2021 Khanh talk contribs created page Equivalents Fractions (Created page with "==Equivalent fractions== Multiplying the numerator and denominator of a fraction by the same (non-zero) number results in a fraction that is equivalent to the original fractio...")
- 01:20, 11 December 2021 Khanh talk contribs created page Prime Numbers (Created page with "== Introduction == A prime number (or prime for short) is a natural number that has exactly two divisors: itself and the number 1. Since 1 has only one divisor — itself —...")
- 00:59, 11 December 2021 Khanh talk contribs created page Patterns (Created page with "= Arithmetic sequence = An '''arithmetic progression''' or '''arithmetic sequence''' is a sequence of numbers such that the difference between the consecutive terms is consta...")
- 15:34, 27 November 2021 Khanh talk contribs created page The Cauchy Criterion (Created page with "Recall that a sequence of real numbers <math>(a_n)</math> is said to be a <strong>Cauchy Sequence</strong> if <math>\forall \epsilon > 0</math> there exists an <math>N \in \ma...")
- 15:16, 27 November 2021 Khanh talk contribs created page Limit of a Sequence in the Real Numbers (Created page with "==Definition== Sequences occur frequently in analysis, and they appear in many contexts. While we are all familiar with sequences, it is useful to have a formal definition....")
- 22:53, 21 November 2021 Khanh talk contribs created page Triangle Inequality (Created page with "== Licensing == Content obtained and/or adapted from: * [http://mathonline.wikidot.com/the-triangle-inequality The Triangle Inequality, mathonline.wikidot.com] under a CC BY-...")
- 22:50, 21 November 2021 Khanh talk contribs created page Absolute Value and the Real Line (Created page with "== The Real Line == thumb|right|382x382px|The real line In mathematics, the '''real line''', or '''real number line''' is the line whose points...")
- 22:38, 21 November 2021 Khanh talk contribs created page Differentiation of Vector-valued Functions (Created page with "==Derivative of a three-dimensional vector function== Many vector-valued functions, like scalar-valued functions, can be differentiated by simply differentiating the componen...")
- 22:32, 21 November 2021 Khanh talk contribs created page Subsequences (Created page with " In mathematics, a '''subsequence''' of a given sequence is a sequence that can be derived from the given sequence by deleting some or no elements without changing the order o...")
- 22:23, 21 November 2021 Khanh talk contribs created page The Cauchy Criterion for Convergence (Created page with "Recall that a sequence of real numbers <math>(a_n)</math> is said to be a <strong>Cauchy Sequence</strong> if <math>\forall \epsilon > 0</math> there exists an <math>N \in \ma...")
- 15:34, 21 November 2021 Khanh talk contribs created page Sequences and Their Limits (Created page with "Consider the sequence <math>\left \{ \frac{1}{n} \right \}_{n=1}^{\infty} = \left \{ 1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, ... \right \}</math>. As <math>n \to \infty</mat...")
- 14:33, 21 November 2021 Khanh talk contribs created page Monotone Sequences (Created page with "==Monotone Sequences of Real Numbers== We will now look at two new types of sequences, '''increasing sequences''' and '''decreasing sequences'''. <blockquote style="backgroun...")
- 13:40, 19 November 2021 Lila talk contribs created page Abstract Algebra: Groups (Created page with "<p>Recall that an operation <span class="math-inline"><math>\cdot</math></span> on <span class="math-inline"><math>S</math></span> is said to be associative if for all <span c...")
- 01:08, 19 November 2021 Khanh talk contribs created page Functions(The Cartesian Product Definition) (Created page with " File:Cartesian Product qtl1.svg|thumb|Cartesian product <math>\scriptstyle A \times B</math> of the sets <math>\scriptstyle A=\{x,y,z\}</math> and <math>\scriptstyle B=\{1,...")
- 00:27, 19 November 2021 Khanh talk contribs created page Solutions of Linear Systems (Created page with "==Fundamental Solutions to Linear Homogenous Differential Equations== <blockquote style="background: white; border: 1px solid black; padding: 1em;"> :'''Theorem 1:''' Let <m...")
- 23:37, 18 November 2021 Khanh talk contribs created page Determinant (Created page with "== Wronskian Determinants of Two Functions == We are going to look more into second order linear homogenous differential equations, but before we do, we need to first learn a...")
- 08:43, 18 November 2021 Lila talk contribs created page Abstract Algebra: Preliminaries (Created page with "==Natural numbers== ==Integers== ==Division algorithm== ==Congruence modulo m== ==Algebra on <math>\Z_m</math>== ==GCD, LCM, and Bézout's identity== ==Primes== ===Eucli...")
- 00:02, 18 November 2021 Khanh talk contribs created page Linear Dependence of Vectors (Created page with "==Linear Independence and Dependence== <blockquote style="background: white; border: 1px solid black; padding: 1em;"> :'''Definition:''' A set of vectors <math>V = \{ \mathbf...")
- 23:31, 17 November 2021 Khanh talk contribs created page Direct Integration (Created page with "==The Method of Direct Integration== The simplest differential equations to solve are those in the form of <math>\frac{dy}{dt} = f(t)</math>. These differential equations can...")
- 15:44, 17 November 2021 Lila talk contribs created page Bounded Functions (Created page with "Image:Bounded and unbounded functions.svg|right|thumb|A schematic illustration of a bounded function (red) and an unbounded one (blue). Intuitively, the graph of a bounded f...")
- 14:55, 17 November 2021 Lila talk contribs created page Cosets and Lagrange’s Theorem (Created page with "==Left and Right Cosets of Subgroups== <blockquote style="background: white; border: 1px solid black; padding: 1em;"> <td><strong>Definition:</strong> Let <span class="math-in...")
- 14:39, 17 November 2021 Lila talk contribs created page Linear Independence of Vectors (Created page with "thumb|right|Linearly independent vectors in <math>\R^3</math> File:Vec-dep.png|thumb|right|Linearly dependent vectors in a plane in <math>\R^3.</math>...")
- 13:57, 17 November 2021 Lila talk contribs created page Permutation Groups (Created page with "A '''permutation group''' is a group ''G'' whose elements are permutations of a given set ''M'' and whose group operation is the composition of permutations in ''G'' (which ar...")
- 11:17, 17 November 2021 Lila talk contribs created page Cyclic Groups (Created page with "A '''cyclic group''' or '''monogenous group''' is a group that is generated by a single element. That is, it is a set of invertible elements with a single associative binary o...")
- 16:13, 16 November 2021 Lila talk contribs created page Groups (Created page with "<p>Recall that an operation <span class="math-inline"><math>\cdot</math></span> on <span class="math-inline"><math>S</math></span> is said to be associative if for all <span c...")
- 14:29, 16 November 2021 Lila talk contribs created page The Integers (Created page with "An '''integer''' (from the Latin ''integer'' meaning "whole"){{efn|''Integer'' 's first literal meaning in Latin is "untouched", from ''in'' ("not...")
- 13:24, 16 November 2021 Lila talk contribs created page Unions and Intersections of Sets (Created page with "thumb|200px|Union of two sets:<br /><math>~A \cup B</math> [[File:Venn 0111 1111.svg|thumb|200px|Union of three sets:<br /><math>~A \cup B \cup C</math>]...")
- 20:54, 13 November 2021 Khanh talk contribs created page Sequences:Subsequences (Created page with "==Subsequence== In mathematics, a '''subsequence''' of a given sequence is a sequence that can be derived from the given sequence by deleting some or no elements without chang...")
- 20:37, 13 November 2021 Khanh talk contribs created page Separation Properties (Created page with "In topology and related branches of mathematics, '''separated sets''' are pairs of subsets of a given topological space that are related to each other in a certain way: roughl...")
- 17:52, 13 November 2021 Khanh talk contribs created page Totally Bounded Metric Spaces (Created page with "In topology and related branches of mathematics, '''total-boundedness''' is a generalization of compactness for circumstances in which a set is not n...")
- 17:26, 13 November 2021 Khanh talk contribs created page Bases of Open Sets (Created page with "A set <math>S \subseteq \mathbb{R}^n</math> is said to be open if <math>S =\mathrm{int} (S)</math>, that is, for every point <math>\mathbf{a} \in S</math> we have that there e...")
- 16:55, 13 November 2021 Khanh talk contribs created page A Topology Given By A Metric (Created page with "==Metric Space== ===Definition=== A metric space is a Cartesian pair <math>(X,d)</math> where <math>X</math> is a non-empty set and <math>d:X\times X\to[0,\infty)</math>, is a...")
- 15:43, 13 November 2021 Khanh talk contribs created page The Nested Interval Theorem in Higher Dimensions (Created page with "== Nested Intervals == <blockquote style="background: white; border: 1px solid black; padding: 1em;"> :'''Definition:''' A sequence of intervals <math>I_n</math> where <math>...")