This is where Emmy Noether, a groundbreaking German mathematician, comes into the picture. She found a breathtakingly simple ...

Abstract: A class of wide-scan angle wide-band microstrip patch phased arrays is proposed. The proposed phased arrays are composed of probe-fed microstrip patches backed by substrate-integrated ...

The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

The Pythagorean Theorem, a cornerstone of geometry, empowers students to solve right triangle problems and unlock advanced mathematical concepts. Mastering this theorem enhances logical reasoning, ...

ABSTRACT: In this paper, via the concept of w-distance in b-metric-like space, we introduce a new contraction, called β-ζ-contraction. Furthermore, we get the existence and uniqueness of the ...

Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples, Proofs of irrationality of √2, √3, √5 Pair of linear equations ...

Pythagoras Theorem (also called the Pythagorean theorem) has been used from antiquity to modern times to solve practical problems in situations from surveying, construction and design that involve ...

GeoLogic can handle five types of objects: Point (P), Line (L), Circle (C), Angle (A) (which include a direction of a line or a "length" of an arc), and Ratio (D) (ratio of products of lengths, ...

Abstract: In this paper, we address the problem of distributed angle estimation in wireless sensor localization system. Given that the practical limitations on size and cost, i.e., anchor node cannot ...

Two congruent angles are simply pairs of angles with equal measures. You can find congruent angles examples in hundreds of everyday objects. For instance, think of any time you've tried to draw a ...

And here is another radius. This means that this triangle is an isosceles triangle and that means that these two angles are the same. Same here. and here and here Great, four different angles red, ...