Articles containing proofs | Area | Theorems about quadrilaterals
In geometry, Bretschneider's formula is the following expression for the area of a general quadrilateral: Here, a, b, c, d are the sides of the quadrilateral, s is the semiperimeter, and α and γ are any two opposite angles, since as long as Bretschneider's formula works on both convex and concave quadrilaterals (but not crossed ones), whether it is cyclic or not. The German mathematician Carl Anton Bretschneider discovered the formula in 1842. The formula was also derived in the same year by the German mathematician Karl Georg Christian von Staudt. (Wikipedia).
Heron’s formula: What is the hidden meaning of 1 + 2 + 3 = 1 x 2 x 3 ?
Today's video is about Heron's famous formula and Brahmagupta's and Bretschneider's extensions of this formula and what these formulas have to do with that curious identity 1+2+3=1x2x3. 00:00 Intro 01:01 1+2+3=1x2x3 in action 02:11 Equilateral triangle 02:30 Golden triangle 03:09 Chapter
From playlist Recent videos
The Bretschneider von Staudt formula for a quadrilateral | Rational Geometry Math Foundations 132
Brahmagupta's formula gives the area of a cyclic quadrilateral in terms of its four (outside) `lengths', and the CQQ theorem was a logically correct reformulation of that result, using quadrances instead of `distances'. But what about a general quadrilateral? This is a redo of last week's
From playlist Math Foundations
What is Bretschneider's formula??
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From playlist Geometry
Markus Reiß (HU Berlin) -- Nonparametric estimation for SPDEs via localisation
We shall first discuss differences for parametric drift estimation between stochastic ordinary and partial differential equations (SODEs/SPDEs). For parabolic SPDEs a classical estimation approach is based on the spectral decomposition of the generator, which is assumed to be known (at lea
From playlist Columbia SPDE Seminar
The Frobenius Problem - Proof of the Formula for the Frobenius Number for Two Numbers
Describes how to derive the general formula for the Frobenius Number of two Numbers. Proves why Frob(m,n) = mn - m - n.
From playlist Proofs
Euler's formulas, Rodrigues' formula
In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5
From playlist Algebra
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Ex: Solve a Bernoulli Differential Equation Using an Integrating Factor
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Ex: Solve a Bernoulli Differential Equation Using Separation of Variables
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
B24 Introduction to the Bernoulli Equation
The Bernoulli equation follows from a linear equation in standard form.
From playlist Differential Equations
I continue the look at higher-order, linear, ordinary differential equations. This time, though, they have variable coefficients and of a very special kind.
From playlist Differential Equations
Euler's Formula for the Quaternions
In this video, we will derive Euler's formula using a quaternion power, instead of a complex power, which will allow us to calculate quaternion exponentials such as e^(i+j+k). If you like quaternions, this is a pretty neat formula and a simple generalization of Euler's formula for complex
From playlist Math
Moving on from Lagrange's equation, I show you how to derive Hamilton's equation.
From playlist Physics ONE
Excel Basics 12: Complete Formula Lesson of Formula Types & Formula Elements 12 Examples
Highline College Busn 216 Class: Computer Applications taught by Michael Girvin. Download Excel Start & Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EB12-FormulaElements.xlsm Download Full Written Notes: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Office20
From playlist Excel Formulas - Basics and Beyond
Highline Excel 2016 Class 02: Excel Fundamentals: Comprehensive Formula Lesson (15 Examples)
Download Files: https://people.highline.edu/mgirvin/AllClasses/218_2016/218Excel2016.htm In this video learn about: 1. (00:13) Introduction 2. (10:09) Excel’s Golden Rule 3. (04:31) Look at list of Formula Types and Formula Elements 4. (06:29) Number Formula Examples 5. (08:24) Text and Nu
From playlist Excel Advanced Free Course at YouTube. Comprehensive Excel 2016: Calculations & Data Analysis (27 Videos)
Excel Statistical Analysis 03: Comprehensive Worksheet Formula & Model Building Video
Download Excel File: https://excelisfun.net/files/Ch01-ESA.xlsm Learn the fundamentals of Excel worksheet formulas, functions and how to build worksheet models. Topics: (00:00) Introduction (00:19) Topics in video (00:45) Worksheet Formula Elements: what can go into a formula (01:57) Excel
From playlist Excel Statistical Analysis for Business Class Playlist of Videos from excelisfun
Highline Excel 2013 Class Video 02: Comprehensive Excel Formula Types & Elements Video 12 Examples
Download workbook: http://people.highline.edu/mgirvin/AllClasses/214_2013/214/Busn214_2013.htm This is the Highline Community College Class, Spreadsheet Construction taught by Michael Girvin: Basic To Advanced Excel. Topics in this video: Overview: (00:39 min) 1. Hours worked formula. Type
From playlist Excel Formulas - Basics and Beyond
Ctrl + Shift + Enter: Excel Array Formulas #02: Introduction Array Formulas & Math Array Operation
Download files here: http://people.highline.edu/mgirvin/excelisfun.htm EXCEL ARRAY FORMULAS WORK THE SAME IN ANY VERSION OF EXCEL!!! This video covers: 1. (01:00 min) What is an "Array"? 2. (01:55 min) Arrays in Excel. 3. (02:41 min) What is an Array Formula? (See book for more complete d
From playlist Ctrl+Shift+Enter: Mastering Excel Array Formulas (35+ Videos in Series)
M 365 Excel Worksheet Formulas & Models – Everything You Ever Wanted To Know - 365 MECS 03
Download Excel File: https://excelisfun.net/files/03-M365ExcelClass.xlsx Download PDF File: https://excelisfun.net/files/03-M365ExcelClass.pdf This video is a comprehensive lesson in using Excel Worksheet functions and formulas to build Worksheet Solutions and Models. This full free Micr
From playlist Microsoft 365 Excel Complete Class: free from excelisfun at YouTube - 365 MECS
B11 The improved Euler Formula
The improved Euler Formula using Python.
From playlist A Second Course in Differential Equations