The language of mathematics
The language of mathematics
20 terms
My program is math. Mathematics sought to make logical connections between things and explain various events using different models. I think my glossary may be important for everyone in this program, because knowing the definition of a concept before working with is essential to facilitate understanding.
- Combinatorial
- The combinatorics is the mathematics of counting and arrangement. It applies mathematical operations to count quantities that are far too large to be counted conventionally.
- Example: For example, how many 9-digit code possibilities are there with 9 digits? 9!=9x8x7x6x5x4x3x2x1
- Coordinates
- The coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, which locates a specific point on a grid, called the coordinate plane.
- Derived
- The derivative of a function measures the rate of change of that function in relation to one of its variables. This is a key concept of differential calculus.
- Equation
- An equation is a mathematical equality involving one or more variables for which we will look for the value or values making it true.
- Example: 2x+2=6
x=2
- Factorial
- The factorial symbol is represented by the ! and represents the multiplication of a number and everything before it.
- Example: 4!= 4x3x2x1
- Function
- A function is a relationship that associates each element of a set (for example: x) with a single element of another set (for example: y).
- Gradient
- The gradient represents a place where the slope is steepest.
- Example: For example, water flowing from a place will follow the gradient.
- Inequality
- In mathematics, an inequality is a formula that connects two numerical expressions with a comparison symbol. A strict inequality necessarily compares two different values, whereas a broad inequality is valid in the case of equality.
- Integral
- The integral is an operation that allows to calculate the area under a curve or to accumulate a continuous quantity. It is the inverse of the derivation.
- Intersection
- The intersection of two sets is the set of elements common to both sets.
- Example: A) (1,2,3,4) B) (3,4,5,6)/ intersection of A and B is (3,4).
- Limit
- The limit of a function is the value that the function approaches as the variable approaches a certain value.
- Example: For example, if I am at a certain distance from my wall and I approach half the distance and again half the distance several times. Am I going to get to my wall? No, but I would be very close.
- Logic
- Logic in math, does not represent the logic that we speak in general, which rather represents common sense. A simple way to see logic in math is that a proposition or statement has a value: true or false.
- Example: For example, if humans are whales, then dogs are cats. True or false? The answer is true./ Another example: It’s false that it’s false that it’s false. True or false? false.
- Matrix
- A matrix is a rectangular array of numbers organized in rows and columns. Matrices are used to represent systems of linear equations or geometric transformations.
- Prime numbers
- A prime number, is a number greater than 1 that is divisible by itself and by 1.
- Example: 3,17,19,11
- Probability
- Probability is a measure of the likelihood of an event, ranging from 0 (impossible) to 1 (certain).
- Example: If you roll a six-sided die, the probability of getting a 3 is 1/6.
- Scalar
- Unlike the vector, the scalar has no way or orientation. It's only a value.
- Summation
- A summation, which may be represented by the sigma letter, is used to calculate the sum of a sequence or series.
- Example: For example, if we want to sum all the numbers from 1 to 4 there is a trick that consists in writing the sum twice like this: 1+2+3+4...
4+3+2+1... and it is possible to notice that the sum of the numbers equals 5 4 times. Thus, it is possible to deduce a formula: n(n+1) x1/2.
- Tangent
- The word tangent represents a point of contact between two figures or shapes.
- Theorem
- A theorem is a mathematical statement proved from axioms, definitions and other theorems already proven.
- Vector
- It is an object that has a size, a way and an orientation.
- Example: The wind is a vector.