What is the definition of a monomial and polynomials with examples
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas classifying polynomials by the degree will focus on
From playlist Classify Polynomials
How to reorder and classify a polynomial based on it's degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
How to classify and determine lc degree of a polynomial
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Boole Reduction: A challenge for programmers | MathFoundations 269 | N J Wildberger
Moving from Boolean algebra to the more powerful and direct Algebra of Boole for circuit analysis opens up some unique challenges for programmers. This will be especially relevant for those with interest and experience in Maple, Mathematica, Matlab, Sage, Mupad and other Computer Algebra S
From playlist Boole's Logic and Circuit Analysis
A Systematic Approach to Logical Deduction & the Boole-Mobius Transform I | MF 277 | N J Wildberger
In this video we explain how the Algebra of Boole allows a systematic framework for evaluating logical deductions in Propositional Logic (PL). We are following the unique insights of George Boole, to achieve what has been a prime objective in philosophy since the time of Aristotle and the
From playlist Boole's Logic and Circuit Analysis
Labeling a polynomial based on the degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Learning the basics of classifying polynomials based on degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
Boole polynumbers and equivalent circuits | Math Foundations 264 | N J Wildberger
We want to explain how to associate algebraic expressions to logic circuits which encode their values on various input values, in other words which encode the Boolean functions of circuits. We first review the idea of a polynumber, as opposed to a polynomial, which allows us to concentrat
From playlist Boole's Logic and Circuit Analysis
Implication and 16 logical operations | Math Foundations 258 | N J Wildberger
Given two binary inputs p and q, there are four possible assignments of 0's and1's to them, and correspondingly 16 different possible connectives or operations on these four assignments. The systematic study of these 16 connectives forms the foundation for both Boole's algebra, Boolean alg
From playlist Boole's Logic and Circuit Analysis
How do we multiply polynomials
👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.
From playlist How to Multiply Polynomials
Classifying a polynomial based on its degree and number of terms
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials
More bases of polynomial spaces | Wild Linear Algebra A 21 | NJ Wildberger
Polynomial spaces are excellent examples of linear spaces. For example, the space of polynomials of degree three or less forms a linear or vector space which we call P^3. In this lecture we look at some more interesting bases of this space: the Lagrange, Chebyshev, Bernstein and Spread po
From playlist WildLinAlg: A geometric course in Linear Algebra
Linear algebra with polynomials | Wild Linear Algebra A 19 | NJ Wildberger
Spaces of polynomials provide important applications of linear algebra. Here we introduce polynomials and the associated polynomial functions (we prefer to keep these separate in our minds). Polynomials are vital in interpolation, and we show how this works. Then we explain how regressio
From playlist WildLinAlg: A geometric course in Linear Algebra
Live CEOing Ep 631: Language Design in Wolfram Language [CardinalDirectionString, Boole, & More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
Fitting a polynomial with GeoGebra | Algebraic Calculus One | Anna Tomskova
Dr Anna Tomskova shows how to use GeoGebra to fit a polynomial to a sequence and then use that for extrapolation and interpolation. ************************ Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of
From playlist Algebraic Calculus One
Learn how to write a polynomial in standard form and classify
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials | Equations
What exactly is a polynomial? | Arithmetic and Geometry Math Foundations 60 | N J Wildberger
Polynomials are fundamental objects in algebra, but unfortunately most accounts of them skimp on giving a proper definition. Here we base polynomials on the more basic objects of polynumbers. This lecture is part of the MathFoundations series, which tries to lay out proper foundations fo
From playlist Math Foundations
Learn how to classify and identify the lc and degree of a polynomial
👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1
From playlist Classify Polynomials
Polynomials and sequence spaces | Wild Linear Algebra A 22 | NJ Wildberger
Polynomials can be interpreted as functions, and also as sequences. In this lecture we move to considering sequences. Aside from the familiar powers, we introduce also falling and rising powers, using the notation of D. Knuth. These have an intimate connection to forward and backward diffe
From playlist WildLinAlg: A geometric course in Linear Algebra