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verb + to + infin  
advise to – poradzić
afford to – stać kogoś na coś (finansowo)
aim  to – dążyć do, mieć na celu
agree to – zgadzać się na
allow to – pozwalać na
appear to – wydawać się
arrange to – zorganizować, zaplanować coś
ask to – poprosić o
bear to – ścierpieć, wytrzymać
choose to – wybierać, decydować
claim to – twierdzić, domagać się
decide to – decydować
demand to – domagać się, żądać
desire to – pragnąć czegoś
deserve to –
...

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Tema 20

1. Análisis del texto
El texto propuesto es u n discurso político de carácter público
pronunciado por Felipe González e l 3 0 de noviembre de 1982 e n
su investidura como presidente del Gobierno. Se trata de una
fuente primaria, y a que reproduce directamente las palabras del
protagonista e n e l momento histórico.
El autor es Felipe González, secretario general del PSOE y futuro
presidente del Gobierno tras las elecciones d e octubre d e 1982. El
destinatario es el Congreso d e los Diputados, aunque

...

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Constitutional law 2

*Parliamentary Government 

*Meaning*: Parliamentary government is a system where the real executive is responsible to the legislature, and remains in office only as long as it enjoys the confidence of the majority in the lower house. Also called Cabinet or Westminster system.

*Constitutional Basis in India*: 

- *Article 74*: Council of Ministers with PM at head to aid and advise President

- *Article 75(3)*: Council of Ministers collectively responsible to the Lok Sabha

- *Article 53*: Executive

...

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ljhfytu

Explain in detail about interoperability in IOT?

Interoperability in the Internet of Things (IoT) refers to the ability of different IoT devices, platforms, applications, and communication systems to exchange, understand, and use data effectively with each other. It enables devices manufactured by different vendors and using different technologies to work together seamlessly. Interoperability is one of the most important requirements in IoT because billions of smart devices are connected

...

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Madddd

BASIC DEFINITIONS

Static Website

Fixed content, same for all users, no server processing

Dynamic Website

Content changes based on user/data, uses backend

Web Application

Interactive software running in browser (like Gmail)

Frontend vs Backend

Frontend → UI (HTML, CSS, JS)

Backend → Server, database, logic

Full Stack Development

Working on both frontend + backend

SPA (Single Page Application)

Loads one page, updates content dynamically

Advantages of SPA

Fast, smooth UX, less reload, better...

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TEMA 18

1. Coordenadas espacio-temporales
La muerte de Francisco Franco e n noviembre d e 1975 supuso el
inicio d e l a Transición española, un periodo que se extendió hasta
1977 y que marcó e l paso d e l a dictadura franquista a u n sistema
democrático. Aunque e l propio Franco había dejado e l sistema
"atado y bien atado", la presión social, política y económica hizo
inevitable e l cambio.
España partía d e casi cuarenta años de dictadura y se encontraba
e n u n contexto d e crisis económica internacional

...

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algorithms

BIG-O / THETA ORDER
1 < log n < (log n)² < n < n log n < n² < n²log n < n³ < 2ⁿ
Θ = tight bound/actual growth, O = upper bound/worst-case, Ω = lower bound. Ignore constants + smaller terms. Example: 3n²+5n+1 = Θ(n²)

LOOP RULES
i++ → O(n)
i=i+2 → O(n)
i=i*2 or i=i/2 → O(log n)
Nested loops multiply, sequential loops add.
Nested: for(){while(){}} → O(n log n)
Sequential: for(){} while(){} → O(n)+O(log n)=O(n)

UNIVERSAL LOOP ANSWER
“Outer loop runs ___ times. Inner...

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BACHELOR OF EDUCATION

1.Define Mathematics and Describe the History of Mathematics with Special Emphasis on Indian Mathematics

Definition of Mathematics

Mathematics is the branch of knowledge that deals with numbers, quantities, shapes, patterns, measurements, and logical reasoning. The word Mathematics is derived from the Greek word “Mathema” meaning “knowledge” or “learning.”

According to different scholars:

Benjamin Peirce — “Mathematics is the science that draws necessary conclusions.”

Comte —...

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Exam .......

Lines Composed a Few Miles above Tintern Abbey" (1798) is a Romantic poem by William Wordsworth, summarizing his return to the Wye Valley after five years. It explores the restorative power of nature on the mind, shifting from sensory appreciation to spiritual insight, and serves as a testament to memory's power to provide solace and moral guidance.Key Aspects of the PoemThe Power of Memory: The speaker, Wordsworth, explains that memories of this peaceful, scenic landscape brought him comfort and

...

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