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  1. Hypothesis Definition (Illustrated Mathematics Dictionary)

    Hypothesis. A statement that could be true, which might then be tested. Example: Sam has a hypothesis that "large dogs are better at catching tennis balls than small dogs". We can test that hypothesis by having hundreds of different sized dogs try to catch tennis balls. Sometimes the hypothesis won't be tested, it is simply a good explanation ...

  2. Difference between axioms, theorems, postulates, corollaries, and

    $\begingroup$ One difficulty is that, for historical reasons, various results have a specific term attached (Parallel postulate, Zorn's lemma, Riemann hypothesis, Collatz conjecture, Axiom of determinacy). These do not always agree with the the usual usage of the words. Also, some theorems have unique names, for example Hilbert's Nullstellensatz.

  3. Definition and examples of hypothesis

    Correct Answer: C. Solution: Step 1: The hypothesis is sometimes true. Because, its true only for a square and a rhombus, not for the other quadrilaterals rectangle, parallelogram, or trapezoid. Hypothesis is the part of a conditional statement...Complete information about the hypothesis, definition of an hypothesis, examples of an hypothesis ...

  4. 2.11: If Then Statements

    Definition; Conditional Statement: A conditional statement (or 'if-then' statement) is a statement with a hypothesis followed by a conclusion. Angle: A geometric figure formed by two rays that connect at a single point or vertex. antecedent: The antecedent is the first, or "if," part of a conditional statement. apodosis

  5. Hypothesis -- from Wolfram MathWorld

    A hypothesis is a proposition that is consistent with known data, but has been neither verified nor shown to be false. In statistics, a hypothesis (sometimes called a statistical hypothesis) refers to a statement on which hypothesis testing will be based. Particularly important statistical hypotheses include the null hypothesis and alternative hypothesis. In symbolic logic, a hypothesis is the ...

  6. Understanding Hypotheses

    A hypothesis is a statement or idea which gives an explanation to a series of observations. Sometimes, following observation, a hypothesis will clearly need to be refined or rejected. This happens if a single contradictory observation occurs. For example, suppose that a child is trying to understand the concept of a dog.

  7. Understanding the Role of Hypotheses and Conclusions in Mathematical

    Hypothesis and conclusion. In the context of mathematics and logic, a hypothesis is a statement or proposition that is assumed to be true for the purpose of a logical argument or investigation. It is usually denoted by "H" or "P" and is the starting point for many mathematical proofs. For example, let's consider the hypothesis: "If ...

  8. Hypothesis

    Definition. A hypothesis is a claim or statement that makes sense in the context of some information or data at hand but hasn't been established as true or false through experimentation or proof. In mathematics, any statement or equation that describes some relationship between certain variables can be termed as hypothesis if it is consistent ...

  9. What is a Hypothesis?

    Thus the hypothesis is what we must assume in order to be positive that the conclusion will hold. Whenever you are asked to state a theorem, be sure to include the hypothesis. In order to know when you may apply the theorem, you need to know what constraints you have. So in the example above, if we know that a function is differentiable, we may ...

  10. Hypothesis

    hypothesis, something supposed or taken for granted, with the object of following out its consequences (Greek hypothesis, "a putting under," the Latin equivalent being suppositio ). Discussion with Kara Rogers of how the scientific model is used to test a hypothesis or represent a theory. Kara Rogers, senior biomedical sciences editor of ...

  11. 8.1: The Elements of Hypothesis Testing

    Two Types of Errors. The format of the testing procedure in general terms is to take a sample and use the information it contains to come to a decision about the two hypotheses. As stated before our decision will always be either. reject the null hypothesis \ (H_0\) in favor of the alternative \ (H_a\) presented, or.

  12. IXL

    Improve your math knowledge with free questions in "Identify hypotheses and conclusions" and thousands of other math skills.

  13. Hypothesis

    The hypothesis of Andreas Cellarius, showing the planetary motions in eccentric and epicyclical orbits.. A hypothesis (pl.: hypotheses) is a proposed explanation for a phenomenon.For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained ...

  14. Hypotenuse, opposite, and adjacent (article)

    In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle.

  15. Conditional Statements Study Guide

    Geometry uses conditional statements that can be symbolically written as \(p \rightarrow q\) (read as "if , then"). "If" is the hypothesis, and "then" is the conclusion. The conclusion is sometimes written before the hypothesis. Does not always have to include the words "if" and "then."

  16. Hypotenuse

    Hypotenuse Definition: In a right-angled triangle, the longest side or the side opposite to the right angle is termed hypotenuse. The hypotenuse is related to the base and the altitude of the triangle, by the formula: Hypotenuse 2 = Base 2 + Altitude 2. Let us look at the below real-world examples of a hypotenuse in right triangle-shaped objects.

  17. Terminology: Difference between Lemma, Theorem, Definition, Hypothesis

    Hypothesis : A hypothesis is like a statement for a guess, ... I'm not the authority on this, but this is how I interpret all of these words in math literature: Definition - This is an assignment of language and syntax to some property of a set, function, or other object. A definition is not something you prove, it is something someone assigns.

  18. Riemann hypothesis

    In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1 / 2.Many consider it to be the most important unsolved problem in pure mathematics. It is of great interest in number theory because it implies results about the distribution of prime numbers.

  19. Hypothesis

    Definition of Hypothesis. A hypothesis is a statement that might be true, but which needs to be tested. For example, Al forwards the hypothesis that "pink snails move more slowly than brown snails." Al will be able to test his hypothesis by calculating the speed of hundreds of pink and brown snails, and then analysing the data he has collected ...

  20. Hypothesis Definition

    Types of Hypothesis. The hypothesis can be broadly classified into different types. They are: Simple Hypothesis. A simple hypothesis is a hypothesis that there exists a relationship between two variables. One is called a dependent variable, and the other is called an independent variable. Complex Hypothesis.

  21. Hypothesis Testing

    Hypothesis testing is a technique that is used to verify whether the results of an experiment are statistically significant. It involves the setting up of a null hypothesis and an alternate hypothesis. There are three types of tests that can be conducted under hypothesis testing - z test, t test, and chi square test.

  22. Hypotenuse in Right Triangle (Definition, Formula, Proof, and Examples)

    This term is used in Geometry, especially in the right angle triangle. The longest side of a right-angle triangle is called the hypotenuse (the side which is opposite to the right angle). In this article, we are going to discuss the meaning of the term hypotenuse along with its formula, theorem, proof and examples. Table of Contents: Hypotenuse ...

  23. Conclusion

    Hypothesis and Conclusion. As a rule, a mathematical statement comprises two sections: the first section is assumptions or hypotheses, and the other section is the conclusion.Most mathematical statements have the form "If A, then B."Often, this statement is written as "A implies B" or "A $\Rightarrow $ B." The assumptions we make are what makes "A," and the circumstances that ...