What does the phrase trivial pursuits mean?

What does the phrase trivial pursuits mean?

An infatuation with something that is actually valueless. He spends a lot of time with his stamp collection, but it’s a trivial pursuit.

What is the meaning of trivial?

1a : of little worth or importance a trivial objection trivial problems. b : relating to or being the mathematically simplest case specifically : characterized by having all variables equal to zero a trivial solution to a linear equation. 2 : commonplace, ordinary.

What does trivial mean in medical terms?

(triv’ē-ăl nām), A name of a chemical, no part of which is necessarily used in a systematic sense; that is, it gives little or no indication as to chemical structure. Such names are common for drugs, hormones, proteins, and other biologicals, and are used by the general public.

What is a trivial person?

especially of people) only interested in unimportant things; not at all serious. She’s a very trivial person.

What is a trivial problem?

A trivial problem is easy to solve: Getting computers to understand human language is not a trivial problem. More examples. It was a badly researched documentary which glossed over important questions while pointing up trivial ones. She gets completely stressed about trivial things.

What is a trivial truth?

A trivial truth is simply a tautology of logic (sometimes with equality added). This means that a vacuous proof can only be possible in an inconsistent theory (because contradiction entails everything) while a trivial proof is a proof that is valid because formulation of the theorem is a tautology.

What is mean by non trivial?

1 : not trivial : significant, important a small but nontrivial amount … engineering a power plant around the technology is a nontrivial problem.— John Fleck. 2 mathematics : having the value of at least one variable or term not equal to zero a nontrivial solution.

What does too trivial mean?

adjective. of very little importance or value; insignificant: Don’t bother me with trivial matters. commonplace; ordinary.

Does trivial mean easy?

Trivial is not the same as easy. It means unimportant or insignificant.

What is the meaning of I Want personality not trivial?

The phrase i want personality and not trivial means i value distinct and important things not ordinary or of little value. Step-by-step explanation: The word trivial mean of little value or unimportant things. Whereas personality is a combination of specific traits and qualities of a person.

What is a trivial statement?

Trivial statements are ones that add very little new content about the topic. For example: I think everyone should learn more about the Egyptian culture.

What is a non trivial function?

A solution or example that is not trivial. Often, solutions or examples involving the number zero are considered trivial. Nonzero solutions or examples are considered nontrivial. For example, the equation x + 5y = 0 has the trivial solution (0, 0). Nontrivial solutions include (5, –1) and (–2, 0.4).

What is a non trivial number?

A solution or example that is not trivial. Often, solutions or examples involving the number zero are considered trivial. Nonzero solutions or examples are considered nontrivial.

What is a trivial number?

A solution or example that is ridiculously simple and of little interest. Often, solutions or examples involving the number 0 are considered trivial. Nonzero solutions or examples are considered nontrivial. For example, the equation x + 5y = 0 has the trivial solution x = 0, y = 0.

Is the trivial solution unique?

A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions.

What do you mean by non-trivial solution?

Any solution which has at least one component non-zero (thereby making it a non-obvious solution) is termed as a “non-trivial” solution. – Anurag A Aug 13 ’15 at 17:26. 4. If determinant is zero, then apart from trivial solution there will be infinite number of other, non-trivial, solutions.

What is a trivial solution in matrices?

Definition. A vector is called trivial if all its coordinates are 0, i. e. if it is the zero vector. In Linear Algebra we are not interested in only finding one solution to a system of linear equations. has only the trivial solution.

What has only the trivial solution?

The solution x = 0 is called the trivial solution. A solution x is non-trivial is x = 0. The homogeneous system Ax = 0 has a non-trivial solution if and only if the equation has at least one free variable (or equivalently, if and only if A has a column with no pivots).

How do you solve non trivial solutions?

If λ ≠ 8, then rank of A and rank of (A, B) will be equal to 3.It will have unique solution. (ii) a non-trivial solution. If λ = 8, then rank of A and rank of (A, B) will be equal to 2.It will have non trivial solution. Then the system is consistent and it has infinitely many solution.

How do you find the trivial solution of a matrix?

And the system of equation in which the determinant of the coefficient matrix is not zero but the solution are x=y=z=0 is called trivial solution. In fact, the trivial solution occur in homogeneous equation in which the constant term is equal to zero.

What is the meaning of trivial solution?

What is a trivial solution in differential equations?

A trivial solution is just only the zero solution and nothing more. In ordinary differential equations, when we way that we are looking for non-trivial solutions it just simply means any solution other than the zero solution. In your example, the trivial solution is. u(x)=0,for all x in domain of interest.

What is the difference between rank and dimension?

The rank is an attribute of a matrix, while dimension is an attribute of a vector space. So rank and dimension cannot even be compared. Every vector space has a dimension. The dimension of a particular vector space, namely the column space of a matrix, is what we call the rank of that matrix.