"Manifolds" Natural Recordings by Native Speakers
Manifolds are mathematical spaces that are locally Euclidean, meaning that every point has a neighborhood that is homeomorphic to a Euclidean space. In other words, manifolds are spaces that have a rigid structure, where each point is surrounded by its own distinct environment, similar to the way a point on the surface of the Earth is surrounded by its own distinct landscape. Manifolds can be one-dimensional (such as a line or a circle), two-dimensional (such as a plane or a sphere), three-dimensional (such as space), and so on. Manifolds are used in many areas of mathematics and physics, including differential geometry, topology, and theoretical physics.
Manifestness is a noun that refers to the quality of being manifest or clearly visible or evident. It can also describe the state of something being actualized or brought into existence, as in "The student's hard work was a manifestation of their dedication to their studies". Alternatively, it can refer to the quality of being plain or obvious, often in a somewhat negative sense, as in "The politician's manifestness in their dishonesty was shocking to many".
A document or statement that sets out the aims, principles, and policies of a particular individual, group, or organization, often in a formal or official capacity.
Manifestoes are written statements that outline the policies, goals, and ideals of a particular individual, group, or organization. They often take the form of a formal document or declaration and serve as a public declaration of intent, values, or principles.
A manifesto is a public declaration of the intentions, motives, or views of an individual or group. It is often a written statement that outlines the goals, principles, and policies of a political party, movement, or organization. Manifestos can be used to announce a new policy or initiative, to justify a particular action or decision, or to promote a particular ideology or philosophy. In general, a manifesto is a powerful tool for making a statement and grabbing attention, often used in fields such as politics, art, and business.
The verb "manifests" means to show or become clearly visible or obvious, often in a sudden or dramatic way. It can also mean to make (something, such as a quality or a desire) clear or known. For example, "Her illness manifests itself in chronic fatigue" or "The company's financial troubles began to manifest in a decline in sales".
Manifoldness refers to the quality or state of being manifold, which means having multiple folds, complexities, or aspects. In other words, something that exhibits manifoldness is complex, multifaceted, or intricate, with many layers or facets that are intertwined or interconnected.
Manihot is a genus of plants in the family Euphorbiaceae, commonly known as cassava or manioc. It is a tropical plant native to South America and is widely cultivated in tropical and subtropical regions around the world for its edible root and leaves. Cassava is a staple food in many parts of the world, particularly in tropical Africa and Latin America, and is also used as a source of animal feed and biofuel.
Manikins are human-shaped dolls or models used for teaching, training, or demonstrating various skills, especially in medicine, surgery, or first aid. They are often used to practice procedures on a life-like model before performing them on a human patient.
Manila is the capital and the second largest city of the Philippines. It is located on the eastern coast of Luzon, the largest island in the country. Manila is also the financial, commercial, and cultural center of the Philippines. The city is home to many historic landmarks, including Intramuros, Fort Santiago, and the Manila Cathedral.
Manilius is a Latin poet, often referred to as the Roman Virgil of the Moon, known for his astronomical poem Astronomicon.
Manila is the capital city of the Philippines. As an adjective, "manila" can also refer to a type of hemp fiber rope or cordage that is strong and durable.
Manille refers to Manila, the capital city of the Philippines. It is a port city that sits on the eastern shore of Manila Bay and is the country's chief political, economic, and cultural center.
The word "maninka" refers to a language spoken by the Maninkakan people, who are predominantly located in West Africa, particularly in Guinea, Mali, and Côte d'Ivoire. It belongs to the Mande language family and is spoken by around 1.5 million people.
Manioc is a starchy root vegetable, also known as cassava or yuca, that is native to South America and is a staple food in many tropical countries. It is a toxic plant that requires careful handling and processing to remove a toxic compound called cyanide, which makes it safe for consumption. Manioc is often used to make flour, bread, and other baked goods.