Search results
Results From The WOW.Com Content Network
Greater-than sign with equals sign. The greater-than sign plus the equals sign, >=, is sometimes used for an approximation of the greater than or equal to sign, ≥ which was not included in the ASCII repertoire. The sign is, however, provided in Unicode, as U+2265 ≥ GREATER-THAN OR EQUAL TO ( ≥, ≥, ≥ ).
Usage in mathematics and computer programming. In mathematics, the equal sign can be used as a simple statement of fact in a specific case (" x = 2 "), or to create definitions (" let x = 2 "), conditional statements (" if x = 2, then ... "), or to express a universal equivalence (" (x + 1)2 = x2 + 2x + 1 ").
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. [1] It is used most often to compare two numbers on the number line by their size. The main types of inequality are less than and greater than .
A number is non-negative if it is greater than or equal to zero. A number is non-positive if it is less than or equal to zero. When 0 is said to be both positive and negative [citation needed], modified phrases are used to refer to the sign of a number: A number is strictly positive if it is greater than zero.
A ⊂ B {\displaystyle A\subset B} may mean that A is a proper subset of B, that is the two sets are different, and every element of A belongs to B; in formula, A ≠ B ∧ ∀ x , x ∈ A ⇒ x ∈ B {\displaystyle A eq B\land \forall {}x,\,x\in A\Rightarrow x\in B} . ⊆. A ⊆ B {\displaystyle A\subseteq B}
U+226A ≪ MUCH LESS-THAN. The less-than sign is a mathematical symbol that denotes an inequality between two values. The widely adopted form of two equal-length strokes connecting in an acute angle at the left, <, has been found in documents dated as far back as the 1560s.
The Löwenheim–Skolem theorem shows that if a first-order theory of cardinality λ has an infinite model, then it has models of every infinite cardinality greater than or equal to λ.
Note that any inequality containing a "greater than" or a "greater than or equal" sign can be rewritten with a "less than" or "less than or equal" sign, so there is no need to define linear inequalities using those signs.
In mathematics, the inequality of arithmetic and geometric means, or more briefly the AM–GM inequality, states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list; and further, that the two means are equal if and only if every number in the list is the same (in which ...
"Is greater than", "is at least as great as", and "is equal to" ( equality) are transitive relations on various sets, for instance, the set of real numbers or the set of natural numbers:
