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What is the difference between a pictograph and an alphabet?
A pictograph is a visual representation that conveys meaning through images or symbols, often depicting objects or concepts directly. In contrast, an alphabet is a standardized set of letters or characters used to represent the phonetic sounds of a language, allowing for the construction of words and sentences. While pictographs communicate ideas through imagery, alphabets enable more complex and abstract forms of written communication.
How do you factorise x squared plus 1?
(x2 + 1) = (x2 - i2) with the factors (x+i)(x-i) where i is the square root of (-1).If you don't allow complex numbers (which is usually the case in school mathematics) then there is no factorisation.
What type of calculator is used specifically for algebra?
For basic algebra, you can use a calculator with basic functions on it used for arithmetic. If you are trying to solve more complex equations, a scientific calculator will suit you better.
What is a scientific calculator and what is it used for?
A Scientific calculator is a kind of calculator which is used to solve scientific, engineering and Mathematical problems. It comes loaded with commonly used functions such as logarithms, scientific notation, trigonometry, floating point, complex numbers, fractions and so on. It is used widely in solving quick mathematical problems such as trigonometry functions and some cases with physics and Chemistry.
What to dot diagrams represent?
Dot diagrams, also known as dot plots, visually represent data points using dots along a number line. Each dot corresponds to a value or category, allowing for easy comparison of frequencies or distributions within a dataset. They are particularly useful for small to moderate-sized datasets, as they clearly showcase trends and patterns without the need for complex statistical analysis. Additionally, dot diagrams can highlight clusters, gaps, and outliers in the data.
What is the difference between arithmetic and algebra?
Arithmetic: The mathematics of integers, rational numbers, real numbers, or complex numbers under addition, subtraction, multiplication, and division. Algebra: A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.
What has the author Wolfgang Ebeling written?
Wolfgang Ebeling has written: 'Functions of Several Complex Variables and Their Singularities (Graduate Studies in Mathematics)'
What is the significance of the imaginary Gaussian integral in the field of mathematics?
The imaginary Gaussian integral is significant in mathematics because it allows for the evaluation of complex integrals, which are important in various areas of mathematics and physics. It provides a powerful tool for solving problems involving complex numbers and functions, making it a fundamental concept in advanced mathematical analysis.
What has the author Norman Levinson written?
Norman Levinson has written: 'Complex Variables (Holden-Day Series in Mathematics)' 'Gap and density theorems' -- subject(s): Harmonic analysis, Exponential functions, Integral equations, Fourier series, Functions of complex variables
What has the author E B Saff written?
E. B. Saff has written: 'Fundamentals of complex analysis for mathematics, science, and engineering' -- subject(s): Mathematical analysis, Functions of complex variables
Who invented the Taylor series and what is its significance in mathematics?
The Taylor series was named after the mathematician Brook Taylor, who introduced it in the 18th century. The Taylor series is significant in mathematics because it allows functions to be approximated by polynomials, making complex calculations more manageable and providing insights into the behavior of functions near a specific point.
What units fall under Further Mathematics?
The term "further mathematics" refers to topics covered in advanced secondary methematics courses. There are many units in this classifcation, such as complex numbers, matrices, inequalities, hyperbolic functions, polar coordinates, and calculus.
Why mathematics is necessary for the study of physics?
The laws of physics depend on mathematics - sometimes very complex mathematics.
How the exponential logarithm and trigonometric functions of variable is different from complex variable comment?
The exponential function, logarithms or trigonometric functions are functions whereas a complex variable is an element of the complex field. Each one of the functions can be defined for a complex variable.
What do you call a complex admitting a shelling in mathematics?
It's called a shellable complex.
In mathematics what can be complex mixed or vulgar?
fractions
Why did the Phoenician alphabet make writing easier and more efficient then cuneiform?
The Phoenician alphabet was more efficient than cuneiform because it consisted of a small set of symbols representing individual sounds, making it easier to learn and use. Unlike cuneiform, which used hundreds of complex symbols to represent words and syllables, the Phoenician alphabet allowed for quicker and simpler writing.
