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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).

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• 15:43, 19 October 2021 Khanh talk contribs created page Inverse Laplace Transform (Created page with " In mathematics, the '''inverse Laplace transform''' of a function ''F''(''s'') is the piecewise-continuous and exponentially-restricted real function ''f''(''t'') which has t...")
• 15:26, 19 October 2021 Lila talk contribs created page Real Numbers:Irrational (Created page with "right|thumb|240px|The number [[Square root of 2|{{radic|2}} is irrational.]] In mathematics, the '''irrational numbers''' (from in-...")
• 15:13, 19 October 2021 Lila talk contribs created page Real Numbers:Rational (Created page with "thumb|The rational numbers (<math>\mathbb{Q}</math>) are included in the [[real numbers (<math>\mathbb{R}</math>), while themselves including the [...")
• 14:50, 19 October 2021 Lila talk contribs created page Real Numbers:Suprema and Infima (Created page with "Image:Infimum illustration.svg|thumb|right|250px|A set <math>P</math> of real numbers (hollow and filled circles), a subset <math>S</math> of <math>P</math> (filled circles)...")
• 13:12, 19 October 2021 Lila talk contribs created page Real Numbers:Absolute Value (Created page with "== Absolute Values == ''Absolute Values'' represented using two vertical bars, <math>\vert</math>, are common in Algebra. They are meant to signify the number's distance from...")
• 13:01, 19 October 2021 Lila talk contribs created page Real Numbers:Inequalities (Created page with "== Definition of Inequalities == As opposed to an equation, an '''inequality''' is an expression that states that two quantities are unequal or not equivalent to one another....")
• 12:42, 19 October 2021 Lila talk contribs created page Sigma Notation (Created page with "Summation notation allows an expression that contains a sum to be expressed in a simple, compact manner. The uppercase Greek letter sigma, Σ, is used to denote the sum o...")
• 11:40, 19 October 2021 Lila talk contribs created page Extreme values on closed and bounded domains (Created page with "<blockquote style="background: white; border: 1px solid black; padding: 1em;"> '''Extreme Value Theorem:''' If ''f'' is a continuous function and closed on the interval [<mat...")
• 09:49, 19 October 2021 Lila talk contribs created page Gradients (Created page with "File:Gradient2.svg|thumb|300px|The gradient, represented by the blue arrows, denotes the direction of greatest change of a scalar function. The values of the function are re...")
• 13:17, 18 October 2021 Lila talk contribs moved page Intro to Polynomial Functions to Polynomial Functions
• 10:20, 18 October 2021 Lila talk contribs moved page Algebraic graphing technics to Algebraic graphing techniques (Misspelled title)
• 16:38, 17 October 2021 Khanh talk contribs created page Taylor's Theorem (Created page with "File:Taylorspolynomialexbig.svg|thumb|right|300px|The exponential function ''y'' = ''e''^''x'' (red) and the corresponding Taylor polynomial of degree fo...")
• 15:56, 17 October 2021 Khanh talk contribs created page L'Hospital's Rules (Created page with " File:Hopital sin x by -0.5x.png|thumb|upright=1.5|Example application of l'Hôpital's rule to f(x) = sin(x) and g(x) = −0.5x: the function h(x) = f(x)/g(x) is undefined a...")
• 14:50, 17 October 2021 Khanh talk contribs created page Abel’s Theorem (Created page with "In mathematics, '''Abel's theorem''' for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician Niels Henrik...")
• 22:34, 16 October 2021 Khanh talk contribs created page Real Numbers:Intervals (Created page with " thumb|400px|The addition ''x'' + ''a'' on the number line. All numbers greater than ''x'' and less than ''x'' + ''a'' fall within that open interval....")
• 21:55, 16 October 2021 Khanh talk contribs created page Real Numbers:Archimedean Property (Created page with "thumb|250px|Illustration of the Archimedean property. In abstract algebra and analysis, the '''Archimedean property''', named after the anci...")
• 21:17, 16 October 2021 Khanh talk contribs created page Adjusting claims and hypothesis (Created page with "=='''Line Graphs'''== {| style="padding:2px; text-align:center; float:right;" | thumb|An example of a comparative line graph. |} Line grap...")
• 20:49, 16 October 2021 Khanh talk contribs created page Weighted moving average graphs continued (Created page with "== Calculating the Mean == The mean, or more precisely the arithmetic mean, is simply the arithmetic average of a group of numbers (or '''data set''') and is shown using -bar...")
• 15:59, 16 October 2021 Khanh talk contribs created page Part-to-part ratios & Part-to-whole ratios (Created page with "thumb|right|Pie chart of populations of English native speakers A '''pie chart''' (or a '''circle chart''') is a circular statistical graph...")
• 15:35, 16 October 2021 Khanh talk contribs created page Weighted moving average graphs (Created page with "thumb|Smoothing of a noisy sine (blue curve) with a moving average (red curve). In statistics, a '''moving average''' ('''...")
• 15:00, 16 October 2021 Khanh talk contribs created page Index numbers (Created page with "thumb|The ratio of width to height of standard-definition television In mathematics, a '''ratio''' indicates how many times one number contains a...")
• 17:46, 15 October 2021 Khanh talk contribs created page Time series model of exponential growth (Created page with "thumb|250px|Time series: random data plus trend, with best-fit line and different applied filters|alt=|right In mathematics, a '''time s...")
• 16:21, 15 October 2021 Khanh talk contribs created page Euler's Number (Created page with " File:hyperbola E.svg|thumb|237px|right|Graph of the equation {{Math|1=''y'' = 1/''x''}}. Here, {{mvar|e}} is the unique number larger than 1 that makes the shaded area equa...")
• 14:19, 15 October 2021 Lila talk contribs created page The Mean Value Theorem (Created page with "== Formal statement == File:Mittelwertsatz3.svg|thumb|The function <math>f</math> attains the slope of the secant between <math>a</math> and <math>b</math> as the derivative...")
• 13:34, 15 October 2021 Lila talk contribs created page Techniques for Finding Derivatives (Created page with "== Techniques of Differentiation == <p> The definition of a derivative, <math>f'(x)=\lim_{{\Delta}x\rightarrow 0} \frac{f(x+{\Delta}x)-f(x)}{{\Delta}x}</math> is not the only...")
• 12:42, 15 October 2021 Khanh talk contribs created page Proportionality vs. Linearity (Created page with " thumb|300x300px|The variable ''y'' is directly proportional to the variable ''x'' with proportionality constant ~0.6. File:Inverse propo...")
• 09:34, 15 October 2021 Lila talk contribs created page Multiple Integrals (Created page with "thumb|right|Integral as area between two curves. File:Volume under surface.png|right|thumb|Double integral as volume under a surface {{math...")
• 19:42, 14 October 2021 Khanh talk contribs created page Optimization Applications (Created page with " ==Introduction== Optimization is one of the uses of calculus in the real world. Perhaps we are a pizza parlor and wish to maximize profit. Perhaps we have a flat piece of car...")
• 16:10, 14 October 2021 Khanh talk contribs created page Absolute change (additive reasoning) & Relative change (multiplicative reasoning) (Created page with "=Measuring Errors= In this lesson we will learn how to quantify errors. Learning objectives * identify true and relative true errors * identify approximate and relative appro...")
• 15:57, 14 October 2021 Lila talk contribs created page Cauchy Problem (Created page with "A '''Cauchy problem''' in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain...")
• 15:20, 14 October 2021 Khanh talk contribs created page Continuous Growth (Created page with "File:Exponential.svg|thumb|300px|right|The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth. {{legend|green|Exponential g...")
• 15:11, 14 October 2021 Lila talk contribs created page Theorem:Bolzano-Weierstrass (Created page with "===Theorem (Bolzano—Weierstrass)=== <blockquote style="background: white; border: 1px solid black; padding: 1em;">Every bounded sequence of real numbers contains a conve...")
• 14:52, 14 October 2021 Lila talk contribs created page Continuous Functions (Created page with "'''Continuity''' marks a new classification of functions, especially prominent when the theorems explained later on in this page will be put to use. However, if one is reading...")
• 14:14, 14 October 2021 Lila talk contribs moved page Cardinality:𝐍 to Cardinality of important sets (Too specific)
• 13:59, 14 October 2021 Lila talk contribs created page Cardinality:𝐍 (Created page with "Two important generalizations of natural numbers arise from the two uses of counting and ordering: cardinal numbers and ordinal numbers. * A natural number can be used to expr...")
• 13:19, 13 October 2021 Lila talk contribs created page Sets:Uncountable (Created page with "In mathematics, an '''uncountable set''' (or '''uncountably infinite set''')<ref name=":0">{{Cite web|last=Weisstein|first=Eric W.|title=Uncountably Infinite|url=https://m...")
• 13:01, 13 October 2021 Lila talk contribs created page Sets:Countable (Created page with "In mathematics, a '''countable set''' is a set with the same cardinality (number of elements) as some subset of the set of natural numbers. A countable set is either a finite...")
• 09:59, 13 October 2021 Lila talk contribs created page Real Numbers:Sequences (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....")
• 09:35, 13 October 2021 Lila talk contribs created page Functions:Restriction (Created page with "thumb|The function ''x''² with domain '''R''' does not have an [[inverse function. If we restrict ''x''² to the non-neg...")
• 14:49, 12 October 2021 Lila talk contribs created page The Least-squares Solution (Created page with "'''Ordinary least squares''' ('''OLS''') is a type of linear least squares method for estimating the unknown parameters in a linear regression model. OLS chooses the parameter...")
• 13:51, 12 October 2021 Lila talk contribs created page Recursion (Created page with "==Recursion in mathematics== thumb|250px|The [[Sierpinski triangle—a confined recursion of triangles that form a fractal]] ===Recursively d...")
• 13:03, 12 October 2021 Lila talk contribs created page Natural Numbers:Well-Ordering (Created page with "In mathematics, the well-ordering principle states that every non-empty set of positive integers contains a least element.[1] In other words, the set of positive integers is w...")
• 09:08, 12 October 2021 Lila talk contribs created page Functions:Forward Image (Created page with "File:Codomain2.SVG|thumb|upright=1.5|<math>f</math> is a function from domain <math>X</math> to codomain <math>Y.</math> The yellow oval inside <math>Y</math> is the image o...")
• 08:48, 12 October 2021 Lila talk contribs created page Real Numbers:Algebraic Properties (Created page with "===Some simple results=== At this point there are a large number of very simple results we can deduce about these operations from the axioms. Some of these follow, and some o...")
• 08:44, 12 October 2021 Lila talk contribs created page Real Numbers (Created page with "==Why we need the real numbers== This is a good juncture to justify the subject of real analysis, which essentially reduces to justifying the necessity of studying <math>\R</m...")
• 00:36, 12 October 2021 Khanh talk contribs created page Univariate, Bivariate, Correlation and Causation (Created page with "==Univariate Data== In mathematics, a '''univariate''' object is an expression, equation, function or polynomial involving only one variable. Objects involving more than one...")
• 00:26, 12 October 2021 Khanh talk contribs created page Geometric interpretation of interpolation (Created page with "In the mathematical field of numerical analysis, '''interpolation''' is a type of estimation, a method of constructing (finding) new data points based on the range of a discre...")
• 22:26, 10 October 2021 Khanh talk contribs created page Depreciation (Created page with "thumb|380px|An asset depreciation at 15% per year over 20 years In accountancy, '''depreciation''' refers to two aspects of the same concept: fir...")
• 21:41, 10 October 2021 Khanh talk contribs created page Regression (Created page with "==Regression== Regression analysis is the process of building a model of the relationship between variables in the form of mathematical equations. The general purpose is to e...")
• 21:24, 10 October 2021 Khanh talk contribs created page Simple and Compound Interest (Linear and Exponential Models) (Created page with "'''Interest''', in finance and economics, is payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the princ...")

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