What is an expression in Mathematica?

At the core of the Wolfram Language is the foundational idea that everything—data, programs, formulas, graphics, documents—can be represented as symbolic expressions.

What is a non Atomic expression?

88.1.2 argument must be a non-atomic expression This normally means that a list, a set or something else that consists of more than one element was expected.

What is the head of an expression?

The object f in an expression f[x,y,…] is known as the head of the expression. You can extract it using Head[expr]. Particularly when you write programs in the Wolfram Language, you will often want to test the head of an expression to find out what kind of thing the expression is.

How do you display equations in Mathematica?

2 Answers

1. Type Integrate[\[Phi][x,y],x,y] .
2. Change to Traditional Form (using ctrl shift -T)
3. Select the second integral. Make a subscript using ctrl -_ and x^2+y^2<=r^2 in 2D form.

How do I enter e in Mathematica?

E can be evaluated to any numerical precision using N. E can be entered in StandardForm and InputForm as , ee or \[ExponentialE]. In StandardForm and TraditionalForm, E is printed as .

What is the difference between atomic and non atomic synthesized properties?

Atomic means only one thread accesses the variable (static type). Atomic is thread-safe, but it is slow. Nonatomic means multiple threads access the variable (dynamic type). Nonatomic is thread-unsafe, but it is fast.

What is Nonatomic in Objective C?

In Objective-C the implementation of an atomic property allows properties to be safely read and written from different threads. For nonatomic properties, the underlying pointer of a read value could be released when a new value is being written at the same time.

What is the figurative meaning of head?

(Entry 1 of 3) 1 : the upper or anterior division of the animal body that contains the brain, the chief sense organs, and the mouth nodded his head in agreement. 2a : the seat of the intellect : mind two heads are better than one. b : a person with respect to mental qualities let wiser heads prevail.

What does && mean in Mathematica?

The Wolfram Language supports logical operators not only for programming, but for mathematical operations as well. The infix operators && and || stand for conjunction (And) and disjunction (Or), while ! is the prefix operator for negation (Not). BooleanConvert symbolically evaluates many logical expressions.

How do you write not equal to in Mathematica?

Details

1. can be entered as x∖[NotEqual]y or x !=
2. lhs≠rhs returns True if lhs and rhs are determined to be unequal by comparisons between numbers or other raw data, such as strings.
3. Approximate numbers are considered unequal if they differ beyond their last two decimal digits.
4. gives True only if none of the ei are equal.

How do I test if two expressions are equal in Mathematica?

(Remember when defining variables that Mathematica is case-sensitive; there’s a difference between vel and Vel) However, sometimes rather than just defining the equality, you will want to test two expressions to find out if they are equal. You can do this in Mathematica by using two equal signs:

How do I define a new function in Mathematica?

Defining a new function in Mathematica is also slightly tricky, syntax-wise. Basically when defining a function you are defining an operation that can be applied to different objects in Mathematica.

What is the substitution rule in Mathematica?

The substitution rule is a very powerful tool in Mathematica. It removes the need to constantly redefine variables to substitute into expressions. A substitution rule is written like this: Expression /. Variable -> value In: x^2 /. x->2 Out: 4

How do you use parentheses in math in Mathematica?

In Mathematica, it’s always brackets [ ] that are used to indicate the argument of a function. Parentheses ( ) cannot be used in this way. Parentheses are used in Mathematica only to group arithmetic expressions: If you don’t keep these straight you will have problems in your programs.

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