equation is true

USAGE SUMMARY

The phrase "equation is true" is correct and usable in written English.
It can be used when stating that a mathematical equation holds valid or is accurate. Example: "In this case, the equation is true, confirming our hypothesis about the relationship between the variables."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

11 human-written examples

What's still missing from the equation is true value-based purchasing.

The New York Times

Hence, the integro-differential equation is true.

Journal of Inequalities and Applications

Hence, from (23), the second equation is true.

Boundary Value Problems

Number of pieces is k and the φ = 2π/K equation is true (see Figure 3).

EURASIP Journal on Advances in Signal Processing

This equation is true for all polymer nanocomposites containing well-dispersed nanoparticles.

Nanoscale Research Letters

When substituting (11) to (12), we find that the equation is true and the initial density for 2 × 1 polar-coded STTD system is symmetric.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

Using the Newton-Leibniz formula, for any appropriately dimensioned matrices N i, M i, the following equations are true: (14).

Advances in Difference Equations

If the correlation (symmetric) matrix plays a role of R, then the additional equations are true begin{array}{c}hfill mathbf{R}={boldsymbol{Pi}}_Mcdot {mathbf{R}}^Tcdot {boldsymbol{Pi}}_M={boldsymbol{Pi}}_Mcdot mathbf{R}cdot {boldsymbol{Pi}}_M={mathbf{R}}^T,hfill hfill {r}_{iell }={r}_{M+1-ell, M+1-i}={r}_{M+1-i,M+1-ell }={r}_{ell i},kern1em i,ell in 1,M.hfill end{array} (2).

EURASIP Journal on Advances in Signal Processing

These equations are true whether a network is uncorrelated or not.

BMC Biology

The equations are true when the sides of a triangle are a, b and c and the angles opposite the sides are A, B and C respectively.

WikiHow

If p 2 = 0, equation (7) is true by equation (6).

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "equation is true", ensure the equation has been properly defined and its context is clear. This adds precision to your writing.

Common error

Avoid assuming that because an "equation is true" in a specific scenario, it automatically applies universally. Always consider potential limitations and boundary conditions.

Linguistic Context

The phrase "equation is true" functions as a declarative statement asserting the validity or accuracy of a mathematical equation. Ludwig AI confirms this usage through various examples where the phrase is used to validate mathematical relationships or confirm hypotheses.

Expression frequency: Common

Frequent in

Science

71%

News & Media

17%

Wiki

12%

Less common in

Encyclopedias

0%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

The phrase "equation is true" is a grammatically correct and commonly used expression to affirm the validity of a mathematical relationship. Predominantly found in scientific, news and media, and wiki contexts, it asserts that the equation accurately reflects the given scenario or set of conditions. As Ludwig AI points out, while simple, using precise language ensures clarity and avoids potential misunderstandings, especially in technical writing. Remember to provide context when asserting that an "equation is true", and avoid overgeneralization or confusing correlation with causation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equation holds

Replaces "is true" with "holds", focusing on the equation's validity within a specific context.

equation is valid

Uses "valid" instead of "true", emphasizing the logical correctness of the equation.

equation is correct

Substitutes "true" with "correct", highlighting the accuracy of the equation.

equation is satisfied

Emphasizes that the equation's conditions are met, leading to a valid result.

equation is verified

Focuses on the confirmation of the equation's truth through testing or proof.

equation is confirmed

Highlights the validation of the equation by external evidence or data.

equation is accurate

Replaces "true" with "accurate", stressing the precision of the equation's results.

equation stands

Implies the equation remains true even under scrutiny or testing.

equation remains true

Highlights the consistency of the equation's validity over time or across different scenarios.

equation is proven

Emphasizes that the equation has been rigorously demonstrated to be true.

FAQs

How can I use "equation is true" in a sentence?

You can use "equation is true" to assert the validity or accuracy of a mathematical statement, like: "After substituting the values, the "equation is true", which confirms our hypothesis."

What's a more formal way to say "equation is true"?

More formal alternatives include "the equation holds", "the equation is valid", or "the equation is satisfied". These options are often preferred in academic or technical writing.

What does it mean when an equation is said to be "true"?

When an "equation is true", it means that the relationship it describes accurately reflects the mathematical or physical reality it's intended to model. It signifies that the values on both sides of the equation are equal or consistent under the given conditions.

Is there a difference between saying an "equation is true" and an "equation is correct"?

While similar, "equation is correct" often implies that the equation is free from errors and properly derived, whereas ""equation is true"" emphasizes that it accurately represents the relationship it describes. The nuance is subtle but can be relevant in certain contexts.